%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN508-1 : TPTP v9.0.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:39:24 AM UTC 2025
% Result : Unsatisfiable 1.07s 1.27s
% Output : Proof 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SYN508-1 : TPTP v9.0.0. Released v2.1.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 12:37:27 EDT 2025
% 0.11/0.32 % CPUTime :
% 1.07/1.27 % SZS status Unsatisfiable
% 1.07/1.27 % SZS output start Proof
% 1.07/1.27 tff(c1_1_type, type, (
% 1.07/1.27 c1_1: $i > $o)).
% 1.07/1.27 tff(a717_type, type, (
% 1.07/1.27 a717: $i)).
% 1.07/1.27 tff(c0_1_type, type, (
% 1.07/1.27 c0_1: $i > $o)).
% 1.07/1.27 tff(c2_1_type, type, (
% 1.07/1.27 c2_1: $i > $o)).
% 1.07/1.27 tff(ndr1_0_type, type, (
% 1.07/1.27 ndr1_0: $o)).
% 1.07/1.27 tff(hskp8_type, type, (
% 1.07/1.27 hskp8: $o)).
% 1.07/1.27 tff(hskp19_type, type, (
% 1.07/1.27 hskp19: $o)).
% 1.07/1.27 tff(hskp7_type, type, (
% 1.07/1.27 hskp7: $o)).
% 1.07/1.27 tff(a708_type, type, (
% 1.07/1.27 a708: $i)).
% 1.07/1.27 tff(a721_type, type, (
% 1.07/1.27 a721: $i)).
% 1.07/1.27 tff(a709_type, type, (
% 1.07/1.27 a709: $i)).
% 1.07/1.27 tff(c3_1_type, type, (
% 1.07/1.27 c3_1: $i > $o)).
% 1.07/1.27 tff(a718_type, type, (
% 1.07/1.27 a718: $i)).
% 1.07/1.27 tff(a739_type, type, (
% 1.07/1.27 a739: $i)).
% 1.07/1.27 tff(hskp18_type, type, (
% 1.07/1.27 hskp18: $o)).
% 1.07/1.27 tff(hskp17_type, type, (
% 1.07/1.27 hskp17: $o)).
% 1.07/1.27 tff(a734_type, type, (
% 1.07/1.27 a734: $i)).
% 1.07/1.27 tff(a762_type, type, (
% 1.07/1.27 a762: $i)).
% 1.07/1.27 tff(a711_type, type, (
% 1.07/1.27 a711: $i)).
% 1.07/1.27 tff(a732_type, type, (
% 1.07/1.27 a732: $i)).
% 1.07/1.27 tff(a730_type, type, (
% 1.07/1.27 a730: $i)).
% 1.07/1.27 tff(hskp14_type, type, (
% 1.07/1.27 hskp14: $o)).
% 1.07/1.27 tff(hskp29_type, type, (
% 1.07/1.27 hskp29: $o)).
% 1.07/1.27 tff(a731_type, type, (
% 1.07/1.27 a731: $i)).
% 1.07/1.27 tff(a720_type, type, (
% 1.07/1.27 a720: $i)).
% 1.07/1.27 tff(hskp10_type, type, (
% 1.07/1.27 hskp10: $o)).
% 1.07/1.27 tff(hskp15_type, type, (
% 1.07/1.27 hskp15: $o)).
% 1.07/1.27 tff(a741_type, type, (
% 1.07/1.27 a741: $i)).
% 1.07/1.27 tff(hskp9_type, type, (
% 1.07/1.27 hskp9: $o)).
% 1.07/1.27 tff(hskp25_type, type, (
% 1.07/1.27 hskp25: $o)).
% 1.07/1.27 tff(hskp24_type, type, (
% 1.07/1.27 hskp24: $o)).
% 1.07/1.27 tff(a716_type, type, (
% 1.07/1.27 a716: $i)).
% 1.07/1.27 tff(hskp6_type, type, (
% 1.07/1.27 hskp6: $o)).
% 1.07/1.27 tff(a710_type, type, (
% 1.07/1.27 a710: $i)).
% 1.07/1.27 tff(hskp3_type, type, (
% 1.07/1.27 hskp3: $o)).
% 1.07/1.27 tff(a713_type, type, (
% 1.07/1.27 a713: $i)).
% 1.07/1.27 tff(hskp5_type, type, (
% 1.07/1.27 hskp5: $o)).
% 1.07/1.27 tff(a714_type, type, (
% 1.07/1.27 a714: $i)).
% 1.07/1.27 tff(hskp30_type, type, (
% 1.07/1.27 hskp30: $o)).
% 1.07/1.27 tff(a727_type, type, (
% 1.07/1.27 a727: $i)).
% 1.07/1.27 tff(hskp13_type, type, (
% 1.07/1.27 hskp13: $o)).
% 1.07/1.27 tff(hskp16_type, type, (
% 1.07/1.27 hskp16: $o)).
% 1.07/1.27 tff(hskp11_type, type, (
% 1.07/1.27 hskp11: $o)).
% 1.07/1.27 tff(hskp26_type, type, (
% 1.07/1.27 hskp26: $o)).
% 1.07/1.27 tff(a757_type, type, (
% 1.07/1.27 a757: $i)).
% 1.07/1.27 tff(hskp23_type, type, (
% 1.07/1.27 hskp23: $o)).
% 1.07/1.27 tff(hskp27_type, type, (
% 1.07/1.27 hskp27: $o)).
% 1.07/1.27 tff(a780_type, type, (
% 1.07/1.27 a780: $i)).
% 1.07/1.27 tff(a773_type, type, (
% 1.07/1.27 a773: $i)).
% 1.07/1.27 tff(a723_type, type, (
% 1.07/1.27 a723: $i)).
% 1.07/1.27 tff(hskp31_type, type, (
% 1.07/1.27 hskp31: $o)).
% 1.07/1.27 tff(hskp1_type, type, (
% 1.07/1.27 hskp1: $o)).
% 1.07/1.27 tff(a705_type, type, (
% 1.07/1.27 a705: $i)).
% 1.07/1.27 tff(hskp28_type, type, (
% 1.07/1.27 hskp28: $o)).
% 1.07/1.27 tff(a756_type, type, (
% 1.07/1.27 a756: $i)).
% 1.07/1.27 tff(hskp22_type, type, (
% 1.07/1.27 hskp22: $o)).
% 1.07/1.27 tff(a707_type, type, (
% 1.07/1.27 a707: $i)).
% 1.07/1.27 tff(a725_type, type, (
% 1.07/1.27 a725: $i)).
% 1.07/1.27 tff(hskp12_type, type, (
% 1.07/1.27 hskp12: $o)).
% 1.07/1.27 tff(hskp4_type, type, (
% 1.07/1.27 hskp4: $o)).
% 1.07/1.27 tff(a706_type, type, (
% 1.07/1.27 a706: $i)).
% 1.07/1.27 tff(hskp0_type, type, (
% 1.07/1.27 hskp0: $o)).
% 1.07/1.27 tff(hskp2_type, type, (
% 1.07/1.27 hskp2: $o)).
% 1.07/1.27 tff(a764_type, type, (
% 1.07/1.27 a764: $i)).
% 1.07/1.27 tff(1,plain,
% 1.07/1.27 (^[U: $i] : refl((hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))),
% 1.07/1.27 inference(bind,[status(th)],[])).
% 1.07/1.27 tff(2,plain,
% 1.07/1.27 (![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.07/1.27 inference(quant_intro,[status(thm)],[1])).
% 1.07/1.27 tff(3,plain,
% 1.07/1.27 (![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.07/1.27 inference(rewrite,[status(thm)],[])).
% 1.07/1.27 tff(4,plain,
% 1.07/1.27 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp19) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp19))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp19) <=> (hskp19 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp19) <=> (hskp19 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp19) | hskp8) <=> ((hskp19 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp8))), rewrite(((hskp19 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp8) <=> (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp19) | hskp8) <=> (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))))),
% 1.07/1.27 inference(bind,[status(th)],[])).
% 1.07/1.27 tff(5,plain,
% 1.07/1.27 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp19) | hskp8) <=> ![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.07/1.27 inference(quant_intro,[status(thm)],[4])).
% 1.07/1.27 tff(6,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp19) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause169')).
% 1.07/1.27 tff(7,plain,
% 1.07/1.27 (![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.07/1.27 inference(modus_ponens,[status(thm)],[6, 5])).
% 1.07/1.27 tff(8,plain,
% 1.07/1.27 (![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.07/1.27 inference(modus_ponens,[status(thm)],[7, 3])).
% 1.07/1.27 tff(9,plain,(
% 1.07/1.27 ![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.07/1.27 inference(skolemize,[status(sab)],[8])).
% 1.07/1.27 tff(10,plain,
% 1.07/1.27 (![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.07/1.27 inference(modus_ponens,[status(thm)],[9, 2])).
% 1.07/1.27 tff(11,plain,
% 1.07/1.27 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W))))),
% 1.07/1.27 inference(bind,[status(th)],[])).
% 1.07/1.27 tff(12,plain,
% 1.07/1.27 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.07/1.27 inference(quant_intro,[status(thm)],[11])).
% 1.07/1.27 tff(13,plain,
% 1.07/1.27 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.07/1.27 inference(rewrite,[status(thm)],[])).
% 1.07/1.27 tff(14,plain,
% 1.07/1.27 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) <=> ((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | (~c1_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c1_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c1_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c1_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c1_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c1_1(W))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c1_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c1_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c1_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c1_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c1_1(W))) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c1_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c1_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c1_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c1_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c1_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c1_1(W))) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c1_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))))),
% 1.07/1.28 inference(bind,[status(th)],[])).
% 1.07/1.28 tff(15,plain,
% 1.07/1.28 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c1_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.07/1.28 inference(quant_intro,[status(thm)],[14])).
% 1.07/1.28 tff(16,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c1_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause206')).
% 1.07/1.28 tff(17,plain,
% 1.07/1.28 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[16, 15])).
% 1.07/1.28 tff(18,plain,
% 1.07/1.28 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[17, 13])).
% 1.07/1.28 tff(19,plain,(
% 1.07/1.28 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.07/1.28 inference(skolemize,[status(sab)],[18])).
% 1.07/1.28 tff(20,plain,
% 1.07/1.28 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[19, 12])).
% 1.07/1.28 tff(21,assumption,(hskp8), introduced(assumption)).
% 1.07/1.28 tff(22,plain,
% 1.07/1.28 (((~hskp8) | (~c2_1(a718))) <=> ((~hskp8) | (~c2_1(a718)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(23,plain,
% 1.07/1.28 (((~c2_1(a718)) | (~hskp8)) <=> ((~hskp8) | (~c2_1(a718)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(24,axiom,((~c2_1(a718)) | (~hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause122')).
% 1.07/1.28 tff(25,plain,
% 1.07/1.28 ((~hskp8) | (~c2_1(a718))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[24, 23])).
% 1.07/1.28 tff(26,plain,
% 1.07/1.28 ((~hskp8) | (~c2_1(a718))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[25, 22])).
% 1.07/1.28 tff(27,plain,
% 1.07/1.28 (~c2_1(a718)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[26, 21])).
% 1.07/1.28 tff(28,plain,
% 1.07/1.28 (((~hskp8) | (~c0_1(a718))) <=> ((~hskp8) | (~c0_1(a718)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(29,plain,
% 1.07/1.28 (((~c0_1(a718)) | (~hskp8)) <=> ((~hskp8) | (~c0_1(a718)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(30,axiom,((~c0_1(a718)) | (~hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause121')).
% 1.07/1.28 tff(31,plain,
% 1.07/1.28 ((~hskp8) | (~c0_1(a718))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[30, 29])).
% 1.07/1.28 tff(32,plain,
% 1.07/1.28 ((~hskp8) | (~c0_1(a718))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[31, 28])).
% 1.07/1.28 tff(33,plain,
% 1.07/1.28 (~c0_1(a718)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[32, 21])).
% 1.07/1.28 tff(34,assumption,(~hskp18), introduced(assumption)).
% 1.07/1.28 tff(35,plain,
% 1.07/1.28 (^[U: $i] : refl((hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))),
% 1.07/1.28 inference(bind,[status(th)],[])).
% 1.07/1.28 tff(36,plain,
% 1.07/1.28 (![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.07/1.28 inference(quant_intro,[status(thm)],[35])).
% 1.07/1.28 tff(37,plain,
% 1.07/1.28 (![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(38,plain,
% 1.07/1.28 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp18) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp18))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp18) <=> (hskp18 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp18) <=> (hskp18 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp18) | hskp17) <=> ((hskp18 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp17))), rewrite(((hskp18 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp17) <=> (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp18) | hskp17) <=> (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))))),
% 1.07/1.28 inference(bind,[status(th)],[])).
% 1.07/1.28 tff(39,plain,
% 1.07/1.28 (![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp18) | hskp17) <=> ![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.07/1.28 inference(quant_intro,[status(thm)],[38])).
% 1.07/1.28 tff(40,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp18) | hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause161')).
% 1.07/1.28 tff(41,plain,
% 1.07/1.28 (![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[40, 39])).
% 1.07/1.28 tff(42,plain,
% 1.07/1.28 (![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[41, 37])).
% 1.07/1.28 tff(43,plain,(
% 1.07/1.28 ![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.07/1.28 inference(skolemize,[status(sab)],[42])).
% 1.07/1.28 tff(44,plain,
% 1.07/1.28 (![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[43, 36])).
% 1.07/1.28 tff(45,assumption,(~c1_1(a734)), introduced(assumption)).
% 1.07/1.28 tff(46,assumption,(~c0_1(a734)), introduced(assumption)).
% 1.07/1.28 tff(47,assumption,(~hskp17), introduced(assumption)).
% 1.07/1.28 tff(48,assumption,(~hskp29), introduced(assumption)).
% 1.07/1.28 tff(49,plain,
% 1.07/1.28 (^[V: $i, U: $i] : refl(((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))),
% 1.07/1.28 inference(bind,[status(th)],[])).
% 1.07/1.28 tff(50,plain,
% 1.07/1.28 (![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.07/1.28 inference(quant_intro,[status(thm)],[49])).
% 1.07/1.28 tff(51,plain,
% 1.07/1.28 (![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(52,plain,
% 1.07/1.28 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | (~c3_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | (~c3_1(V))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))))),
% 1.07/1.28 inference(bind,[status(th)],[])).
% 1.07/1.28 tff(53,plain,
% 1.07/1.28 (![V: $i, U: $i] : (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.07/1.28 inference(quant_intro,[status(thm)],[52])).
% 1.07/1.28 tff(54,axiom,(![V: $i, U: $i] : (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause178')).
% 1.07/1.28 tff(55,plain,
% 1.07/1.28 (![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[54, 53])).
% 1.07/1.28 tff(56,plain,
% 1.07/1.28 (![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[55, 51])).
% 1.07/1.28 tff(57,plain,(
% 1.07/1.28 ![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.07/1.28 inference(skolemize,[status(sab)],[56])).
% 1.07/1.28 tff(58,plain,
% 1.07/1.28 (![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[57, 50])).
% 1.07/1.28 tff(59,plain,
% 1.07/1.28 ((hskp29 | hskp18 | hskp10) <=> (hskp29 | hskp18 | hskp10)),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(60,plain,
% 1.07/1.28 (((hskp29 | hskp18) | hskp10) <=> (hskp29 | hskp18 | hskp10)),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(61,plain,
% 1.07/1.28 ((hskp29 | hskp18) <=> (hskp29 | hskp18)),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(62,plain,
% 1.07/1.28 (((hskp29 | hskp18) | hskp10) <=> ((hskp29 | hskp18) | hskp10)),
% 1.07/1.28 inference(monotonicity,[status(thm)],[61])).
% 1.07/1.28 tff(63,plain,
% 1.07/1.28 (((hskp29 | hskp18) | hskp10) <=> (hskp29 | hskp18 | hskp10)),
% 1.07/1.28 inference(transitivity,[status(thm)],[62, 60])).
% 1.07/1.28 tff(64,axiom,((hskp29 | hskp18) | hskp10), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause41')).
% 1.07/1.28 tff(65,plain,
% 1.07/1.28 (hskp29 | hskp18 | hskp10),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[64, 63])).
% 1.07/1.28 tff(66,plain,
% 1.07/1.28 (hskp29 | hskp18 | hskp10),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[65, 59])).
% 1.07/1.28 tff(67,plain,
% 1.07/1.28 (hskp29 | hskp18 | hskp10),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[66, 59])).
% 1.07/1.28 tff(68,plain,
% 1.07/1.28 (hskp29 | hskp18 | hskp10),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[67, 59])).
% 1.07/1.28 tff(69,plain,
% 1.07/1.28 (hskp29 | hskp18 | hskp10),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[68, 59])).
% 1.07/1.28 tff(70,plain,
% 1.07/1.28 (hskp10),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[69, 34, 48])).
% 1.07/1.28 tff(71,plain,
% 1.07/1.28 (((~hskp10) | (~c2_1(a720))) <=> ((~hskp10) | (~c2_1(a720)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(72,plain,
% 1.07/1.28 (((~c2_1(a720)) | (~hskp10)) <=> ((~hskp10) | (~c2_1(a720)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(73,axiom,((~c2_1(a720)) | (~hskp10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause119')).
% 1.07/1.28 tff(74,plain,
% 1.07/1.28 ((~hskp10) | (~c2_1(a720))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[73, 72])).
% 1.07/1.28 tff(75,plain,
% 1.07/1.28 ((~hskp10) | (~c2_1(a720))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[74, 71])).
% 1.07/1.28 tff(76,plain,
% 1.07/1.28 (~c2_1(a720)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[75, 70])).
% 1.07/1.28 tff(77,plain,
% 1.07/1.28 (((~hskp10) | (~c1_1(a720))) <=> ((~hskp10) | (~c1_1(a720)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(78,plain,
% 1.07/1.28 (((~c1_1(a720)) | (~hskp10)) <=> ((~hskp10) | (~c1_1(a720)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(79,axiom,((~c1_1(a720)) | (~hskp10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause118')).
% 1.07/1.28 tff(80,plain,
% 1.07/1.28 ((~hskp10) | (~c1_1(a720))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[79, 78])).
% 1.07/1.28 tff(81,plain,
% 1.07/1.28 ((~hskp10) | (~c1_1(a720))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[80, 77])).
% 1.07/1.28 tff(82,plain,
% 1.07/1.28 (~c1_1(a720)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[81, 70])).
% 1.07/1.28 tff(83,assumption,(~hskp8), introduced(assumption)).
% 1.07/1.28 tff(84,plain,
% 1.07/1.28 (((~hskp10) | c3_1(a720)) <=> ((~hskp10) | c3_1(a720))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(85,axiom,((~hskp10) | c3_1(a720)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause83')).
% 1.07/1.28 tff(86,plain,
% 1.07/1.28 ((~hskp10) | c3_1(a720)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[85, 84])).
% 1.07/1.28 tff(87,plain,
% 1.07/1.28 ((~hskp10) | c3_1(a720)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[86, 84])).
% 1.07/1.28 tff(88,plain,
% 1.07/1.28 ((~hskp10) | c3_1(a720)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[87, 84])).
% 1.07/1.28 tff(89,plain,
% 1.07/1.28 ((~hskp10) | c3_1(a720)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[88, 84])).
% 1.07/1.28 tff(90,plain,
% 1.07/1.28 ((~hskp10) | c3_1(a720)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[89, 84])).
% 1.07/1.28 tff(91,plain,
% 1.07/1.28 (c3_1(a720)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[90, 70])).
% 1.07/1.28 tff(92,plain,
% 1.07/1.28 (^[U: $i] : refl((hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) <=> (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))))),
% 1.07/1.28 inference(bind,[status(th)],[])).
% 1.07/1.28 tff(93,plain,
% 1.07/1.28 (![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.07/1.28 inference(quant_intro,[status(thm)],[92])).
% 1.07/1.28 tff(94,plain,
% 1.07/1.28 (![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(95,plain,
% 1.07/1.28 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c3_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U))))), (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp14) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) | hskp14))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) | hskp14) <=> (hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp14) <=> (hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp14) | hskp17) <=> ((hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) | hskp17))), rewrite(((hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) | hskp17) <=> (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp14) | hskp17) <=> (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))))),
% 1.07/1.28 inference(bind,[status(th)],[])).
% 1.07/1.28 tff(96,plain,
% 1.07/1.28 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp14) | hskp17) <=> ![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.07/1.28 inference(quant_intro,[status(thm)],[95])).
% 1.07/1.28 tff(97,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp14) | hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause155')).
% 1.07/1.28 tff(98,plain,
% 1.07/1.28 (![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[97, 96])).
% 1.07/1.28 tff(99,plain,
% 1.07/1.28 (![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[98, 94])).
% 1.07/1.28 tff(100,plain,(
% 1.07/1.28 ![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.07/1.28 inference(skolemize,[status(sab)],[99])).
% 1.07/1.28 tff(101,plain,
% 1.07/1.28 (![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[100, 93])).
% 1.07/1.28 tff(102,assumption,(~c2_1(a720)), introduced(assumption)).
% 1.07/1.28 tff(103,assumption,(~c1_1(a720)), introduced(assumption)).
% 1.07/1.28 tff(104,assumption,(c3_1(a720)), introduced(assumption)).
% 1.07/1.28 tff(105,assumption,(~ndr1_0), introduced(assumption)).
% 1.07/1.28 tff(106,plain,
% 1.07/1.28 ((ndr1_0 | (~hskp9)) <=> (ndr1_0 | (~hskp9))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(107,plain,
% 1.07/1.28 (((~hskp9) | ndr1_0) <=> (ndr1_0 | (~hskp9))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(108,axiom,((~hskp9) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause23')).
% 1.07/1.28 tff(109,plain,
% 1.07/1.28 (ndr1_0 | (~hskp9)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[108, 107])).
% 1.07/1.28 tff(110,plain,
% 1.07/1.28 (ndr1_0 | (~hskp9)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[109, 106])).
% 1.07/1.28 tff(111,plain,
% 1.07/1.28 (~hskp9),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[110, 105])).
% 1.07/1.28 tff(112,plain,
% 1.07/1.28 ((ndr1_0 | (~hskp29)) <=> (ndr1_0 | (~hskp29))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(113,plain,
% 1.07/1.28 (((~hskp29) | ndr1_0) <=> (ndr1_0 | (~hskp29))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(114,axiom,((~hskp29) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause3')).
% 1.07/1.28 tff(115,plain,
% 1.07/1.28 (ndr1_0 | (~hskp29)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[114, 113])).
% 1.07/1.28 tff(116,plain,
% 1.07/1.28 (ndr1_0 | (~hskp29)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[115, 112])).
% 1.07/1.28 tff(117,plain,
% 1.07/1.28 (~hskp29),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[116, 105])).
% 1.07/1.28 tff(118,plain,
% 1.07/1.28 ((ndr1_0 | (~hskp25)) <=> (ndr1_0 | (~hskp25))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(119,plain,
% 1.07/1.28 (((~hskp25) | ndr1_0) <=> (ndr1_0 | (~hskp25))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(120,axiom,((~hskp25) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause7')).
% 1.07/1.28 tff(121,plain,
% 1.07/1.28 (ndr1_0 | (~hskp25)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[120, 119])).
% 1.07/1.28 tff(122,plain,
% 1.07/1.28 (ndr1_0 | (~hskp25)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[121, 118])).
% 1.07/1.28 tff(123,plain,
% 1.07/1.28 (~hskp25),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[122, 105])).
% 1.07/1.28 tff(124,plain,
% 1.07/1.28 ((hskp29 | hskp25 | hskp9) <=> (hskp29 | hskp25 | hskp9)),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(125,plain,
% 1.07/1.28 (((hskp25 | hskp29) | hskp9) <=> (hskp29 | hskp25 | hskp9)),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(126,axiom,((hskp25 | hskp29) | hskp9), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause34')).
% 1.07/1.28 tff(127,plain,
% 1.07/1.28 (hskp29 | hskp25 | hskp9),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[126, 125])).
% 1.07/1.28 tff(128,plain,
% 1.07/1.28 (hskp29 | hskp25 | hskp9),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[127, 124])).
% 1.07/1.28 tff(129,plain,
% 1.07/1.28 (hskp29 | hskp25 | hskp9),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[128, 124])).
% 1.07/1.28 tff(130,plain,
% 1.07/1.28 (hskp29 | hskp25 | hskp9),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[129, 124])).
% 1.07/1.28 tff(131,plain,
% 1.07/1.28 (hskp29 | hskp25 | hskp9),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[130, 124])).
% 1.07/1.28 tff(132,plain,
% 1.07/1.28 ($false),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[131, 123, 117, 111])).
% 1.07/1.28 tff(133,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 1.07/1.28 tff(134,plain,
% 1.07/1.28 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(135,plain,
% 1.07/1.28 ((hskp17 | hskp14 | (~ndr1_0) | c2_1(a720) | c1_1(a720) | (~c3_1(a720))) <=> (hskp17 | hskp14 | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(136,plain,
% 1.07/1.28 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a720) | c1_1(a720) | (~c3_1(a720)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720))))),
% 1.07/1.28 inference(monotonicity,[status(thm)],[135])).
% 1.07/1.28 tff(137,plain,
% 1.07/1.28 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a720) | c1_1(a720) | (~c3_1(a720)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)))),
% 1.07/1.28 inference(transitivity,[status(thm)],[136, 134])).
% 1.07/1.28 tff(138,plain,
% 1.07/1.28 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a720) | c1_1(a720) | (~c3_1(a720)))),
% 1.07/1.28 inference(quant_inst,[status(thm)],[])).
% 1.07/1.28 tff(139,plain,
% 1.07/1.28 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[138, 137])).
% 1.07/1.28 tff(140,plain,
% 1.07/1.28 (hskp17 | hskp14),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[139, 133, 104, 103, 102, 101])).
% 1.07/1.28 tff(141,plain,
% 1.07/1.28 (hskp14),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[140, 47])).
% 1.07/1.28 tff(142,plain,
% 1.07/1.28 (((~hskp14) | c3_1(a730)) <=> ((~hskp14) | c3_1(a730))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(143,axiom,((~hskp14) | c3_1(a730)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause79')).
% 1.07/1.28 tff(144,plain,
% 1.07/1.28 ((~hskp14) | c3_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[143, 142])).
% 1.07/1.28 tff(145,plain,
% 1.07/1.28 ((~hskp14) | c3_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[144, 142])).
% 1.07/1.28 tff(146,plain,
% 1.07/1.28 ((~hskp14) | c3_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[145, 142])).
% 1.07/1.28 tff(147,plain,
% 1.07/1.28 ((~hskp14) | c3_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[146, 142])).
% 1.07/1.28 tff(148,plain,
% 1.07/1.28 ((~hskp14) | c3_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[147, 142])).
% 1.07/1.28 tff(149,plain,
% 1.07/1.28 (c3_1(a730)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[148, 141])).
% 1.07/1.28 tff(150,plain,
% 1.07/1.28 (((~hskp14) | c1_1(a730)) <=> ((~hskp14) | c1_1(a730))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(151,axiom,((~hskp14) | c1_1(a730)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause78')).
% 1.07/1.28 tff(152,plain,
% 1.07/1.28 ((~hskp14) | c1_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[151, 150])).
% 1.07/1.28 tff(153,plain,
% 1.07/1.28 ((~hskp14) | c1_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[152, 150])).
% 1.07/1.28 tff(154,plain,
% 1.07/1.28 ((~hskp14) | c1_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[153, 150])).
% 1.07/1.28 tff(155,plain,
% 1.07/1.28 ((~hskp14) | c1_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[154, 150])).
% 1.07/1.28 tff(156,plain,
% 1.07/1.28 ((~hskp14) | c1_1(a730)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[155, 150])).
% 1.07/1.28 tff(157,plain,
% 1.07/1.28 (c1_1(a730)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[156, 141])).
% 1.07/1.28 tff(158,plain,
% 1.07/1.28 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(159,plain,
% 1.07/1.28 ((hskp18 | hskp17 | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)) | (~c1_1(a730))) <=> (hskp18 | hskp17 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(160,plain,
% 1.07/1.28 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)) | (~c1_1(a730)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730))))),
% 1.07/1.28 inference(monotonicity,[status(thm)],[159])).
% 1.07/1.28 tff(161,plain,
% 1.07/1.28 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)) | (~c1_1(a730)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730)))),
% 1.07/1.28 inference(transitivity,[status(thm)],[160, 158])).
% 1.07/1.28 tff(162,plain,
% 1.07/1.28 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)) | (~c1_1(a730)))),
% 1.07/1.28 inference(quant_inst,[status(thm)],[])).
% 1.07/1.28 tff(163,plain,
% 1.07/1.28 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[162, 161])).
% 1.07/1.28 tff(164,plain,
% 1.07/1.28 (c0_1(a730)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[163, 133, 34, 47, 157, 149, 44])).
% 1.07/1.28 tff(165,plain,
% 1.07/1.28 (((~hskp14) | (~c2_1(a730))) <=> ((~hskp14) | (~c2_1(a730)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(166,plain,
% 1.07/1.28 (((~c2_1(a730)) | (~hskp14)) <=> ((~hskp14) | (~c2_1(a730)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(167,axiom,((~c2_1(a730)) | (~hskp14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause111')).
% 1.07/1.28 tff(168,plain,
% 1.07/1.28 ((~hskp14) | (~c2_1(a730))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[167, 166])).
% 1.07/1.28 tff(169,plain,
% 1.07/1.28 ((~hskp14) | (~c2_1(a730))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[168, 165])).
% 1.07/1.28 tff(170,plain,
% 1.07/1.28 (~c2_1(a730)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[169, 141])).
% 1.07/1.28 tff(171,plain,
% 1.07/1.28 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(172,plain,
% 1.07/1.28 ((hskp19 | hskp8 | (~ndr1_0) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730))) <=> (hskp19 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(173,plain,
% 1.07/1.28 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730))))),
% 1.07/1.28 inference(monotonicity,[status(thm)],[172])).
% 1.07/1.28 tff(174,plain,
% 1.07/1.28 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)))),
% 1.07/1.28 inference(transitivity,[status(thm)],[173, 171])).
% 1.07/1.28 tff(175,plain,
% 1.07/1.28 ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730)))),
% 1.07/1.28 inference(quant_inst,[status(thm)],[])).
% 1.07/1.28 tff(176,plain,
% 1.07/1.28 ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[175, 174])).
% 1.07/1.28 tff(177,plain,
% 1.07/1.28 (hskp19 | (~c0_1(a730))),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[176, 133, 83, 157, 170, 10])).
% 1.07/1.28 tff(178,plain,
% 1.07/1.28 (hskp19),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[177, 164])).
% 1.07/1.28 tff(179,plain,
% 1.07/1.28 (((~hskp19) | (~c0_1(a741))) <=> ((~hskp19) | (~c0_1(a741)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(180,plain,
% 1.07/1.28 (((~c0_1(a741)) | (~hskp19)) <=> ((~hskp19) | (~c0_1(a741)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(181,axiom,((~c0_1(a741)) | (~hskp19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause103')).
% 1.07/1.28 tff(182,plain,
% 1.07/1.28 ((~hskp19) | (~c0_1(a741))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[181, 180])).
% 1.07/1.28 tff(183,plain,
% 1.07/1.28 ((~hskp19) | (~c0_1(a741))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[182, 179])).
% 1.07/1.28 tff(184,plain,
% 1.07/1.28 (~c0_1(a741)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[183, 178])).
% 1.07/1.28 tff(185,plain,
% 1.07/1.28 (((~hskp19) | c3_1(a741)) <=> ((~hskp19) | c3_1(a741))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(186,axiom,((~hskp19) | c3_1(a741)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause72')).
% 1.07/1.28 tff(187,plain,
% 1.07/1.28 ((~hskp19) | c3_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[186, 185])).
% 1.07/1.28 tff(188,plain,
% 1.07/1.28 ((~hskp19) | c3_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[187, 185])).
% 1.07/1.28 tff(189,plain,
% 1.07/1.28 ((~hskp19) | c3_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[188, 185])).
% 1.07/1.28 tff(190,plain,
% 1.07/1.28 ((~hskp19) | c3_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[189, 185])).
% 1.07/1.28 tff(191,plain,
% 1.07/1.28 ((~hskp19) | c3_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[190, 185])).
% 1.07/1.28 tff(192,plain,
% 1.07/1.28 (c3_1(a741)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[191, 178])).
% 1.07/1.28 tff(193,plain,
% 1.07/1.28 (((~hskp19) | c1_1(a741)) <=> ((~hskp19) | c1_1(a741))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(194,axiom,((~hskp19) | c1_1(a741)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause71')).
% 1.07/1.28 tff(195,plain,
% 1.07/1.28 ((~hskp19) | c1_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[194, 193])).
% 1.07/1.28 tff(196,plain,
% 1.07/1.28 ((~hskp19) | c1_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[195, 193])).
% 1.07/1.28 tff(197,plain,
% 1.07/1.28 ((~hskp19) | c1_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[196, 193])).
% 1.07/1.28 tff(198,plain,
% 1.07/1.28 ((~hskp19) | c1_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[197, 193])).
% 1.07/1.28 tff(199,plain,
% 1.07/1.28 ((~hskp19) | c1_1(a741)),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[198, 193])).
% 1.07/1.28 tff(200,plain,
% 1.07/1.28 (c1_1(a741)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[199, 178])).
% 1.07/1.28 tff(201,plain,
% 1.07/1.28 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(202,plain,
% 1.07/1.28 ((hskp18 | hskp17 | (~ndr1_0) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741))) <=> (hskp18 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(203,plain,
% 1.07/1.28 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741))))),
% 1.07/1.28 inference(monotonicity,[status(thm)],[202])).
% 1.07/1.28 tff(204,plain,
% 1.07/1.28 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.07/1.28 inference(transitivity,[status(thm)],[203, 201])).
% 1.07/1.28 tff(205,plain,
% 1.07/1.28 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.07/1.28 inference(quant_inst,[status(thm)],[])).
% 1.07/1.28 tff(206,plain,
% 1.07/1.28 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[205, 204])).
% 1.07/1.28 tff(207,plain,
% 1.07/1.28 ($false),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[206, 133, 34, 47, 200, 192, 184, 44])).
% 1.07/1.28 tff(208,plain,(hskp17 | hskp18 | hskp8 | (~c3_1(a720)) | c1_1(a720) | c2_1(a720)), inference(lemma,lemma(discharge,[]))).
% 1.07/1.28 tff(209,plain,
% 1.07/1.28 (hskp17),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[208, 34, 83, 91, 82, 76])).
% 1.07/1.28 tff(210,plain,
% 1.07/1.28 (((~hskp17) | (~c0_1(a734))) <=> ((~hskp17) | (~c0_1(a734)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(211,plain,
% 1.07/1.28 (((~c0_1(a734)) | (~hskp17)) <=> ((~hskp17) | (~c0_1(a734)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(212,axiom,((~c0_1(a734)) | (~hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause105')).
% 1.07/1.28 tff(213,plain,
% 1.07/1.28 ((~hskp17) | (~c0_1(a734))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[212, 211])).
% 1.07/1.28 tff(214,plain,
% 1.07/1.28 ((~hskp17) | (~c0_1(a734))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[213, 210])).
% 1.07/1.28 tff(215,plain,
% 1.07/1.28 (~c0_1(a734)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[214, 209])).
% 1.07/1.28 tff(216,plain,
% 1.07/1.28 (((~hskp17) | (~c1_1(a734))) <=> ((~hskp17) | (~c1_1(a734)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(217,plain,
% 1.07/1.28 (((~c1_1(a734)) | (~hskp17)) <=> ((~hskp17) | (~c1_1(a734)))),
% 1.07/1.28 inference(rewrite,[status(thm)],[])).
% 1.07/1.28 tff(218,axiom,((~c1_1(a734)) | (~hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause106')).
% 1.07/1.28 tff(219,plain,
% 1.07/1.28 ((~hskp17) | (~c1_1(a734))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[218, 217])).
% 1.07/1.28 tff(220,plain,
% 1.07/1.28 ((~hskp17) | (~c1_1(a734))),
% 1.07/1.28 inference(modus_ponens,[status(thm)],[219, 216])).
% 1.07/1.28 tff(221,plain,
% 1.07/1.28 (~c1_1(a734)),
% 1.07/1.28 inference(unit_resolution,[status(thm)],[220, 209])).
% 1.07/1.28 tff(222,plain,
% 1.07/1.28 ((hskp18 | hskp8 | hskp6) <=> (hskp18 | hskp8 | hskp6)),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(223,plain,
% 1.07/1.29 (((hskp6 | hskp8) | hskp18) <=> (hskp18 | hskp8 | hskp6)),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(224,axiom,((hskp6 | hskp8) | hskp18), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause37')).
% 1.07/1.29 tff(225,plain,
% 1.07/1.29 (hskp18 | hskp8 | hskp6),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[224, 223])).
% 1.07/1.29 tff(226,plain,
% 1.07/1.29 (hskp18 | hskp8 | hskp6),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[225, 222])).
% 1.07/1.29 tff(227,plain,
% 1.07/1.29 (hskp18 | hskp8 | hskp6),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[226, 222])).
% 1.07/1.29 tff(228,plain,
% 1.07/1.29 (hskp18 | hskp8 | hskp6),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[227, 222])).
% 1.07/1.29 tff(229,plain,
% 1.07/1.29 (hskp18 | hskp8 | hskp6),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[228, 222])).
% 1.07/1.29 tff(230,plain,
% 1.07/1.29 (hskp6),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[229, 34, 83])).
% 1.07/1.29 tff(231,plain,
% 1.07/1.29 (((~hskp6) | (~c3_1(a716))) <=> ((~hskp6) | (~c3_1(a716)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(232,plain,
% 1.07/1.29 (((~c3_1(a716)) | (~hskp6)) <=> ((~hskp6) | (~c3_1(a716)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(233,axiom,((~c3_1(a716)) | (~hskp6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause125')).
% 1.07/1.29 tff(234,plain,
% 1.07/1.29 ((~hskp6) | (~c3_1(a716))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[233, 232])).
% 1.07/1.29 tff(235,plain,
% 1.07/1.29 ((~hskp6) | (~c3_1(a716))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[234, 231])).
% 1.07/1.29 tff(236,plain,
% 1.07/1.29 (~c3_1(a716)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[235, 230])).
% 1.07/1.29 tff(237,plain,
% 1.07/1.29 (((~hskp6) | c2_1(a716)) <=> ((~hskp6) | c2_1(a716))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(238,axiom,((~hskp6) | c2_1(a716)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause89')).
% 1.07/1.29 tff(239,plain,
% 1.07/1.29 ((~hskp6) | c2_1(a716)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[238, 237])).
% 1.07/1.29 tff(240,plain,
% 1.07/1.29 ((~hskp6) | c2_1(a716)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[239, 237])).
% 1.07/1.29 tff(241,plain,
% 1.07/1.29 ((~hskp6) | c2_1(a716)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[240, 237])).
% 1.07/1.29 tff(242,plain,
% 1.07/1.29 ((~hskp6) | c2_1(a716)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[241, 237])).
% 1.07/1.29 tff(243,plain,
% 1.07/1.29 ((~hskp6) | c2_1(a716)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[242, 237])).
% 1.07/1.29 tff(244,plain,
% 1.07/1.29 (c2_1(a716)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[243, 230])).
% 1.07/1.29 tff(245,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c1_1(a720) | c2_1(a720) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a720) | c2_1(a720) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a720)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(246,plain,
% 1.07/1.29 (((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a720) | c2_1(a720) | (~c3_1(a720))) <=> (c1_1(a720) | c2_1(a720) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a720)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(247,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a720) | c2_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c1_1(a720) | c2_1(a720) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a720))))),
% 1.07/1.29 inference(monotonicity,[status(thm)],[246])).
% 1.07/1.29 tff(248,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a720) | c2_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a720) | c2_1(a720) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a720)))),
% 1.07/1.29 inference(transitivity,[status(thm)],[247, 245])).
% 1.07/1.29 tff(249,plain,
% 1.07/1.29 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a720) | c2_1(a720) | (~c3_1(a720)))),
% 1.07/1.29 inference(quant_inst,[status(thm)],[])).
% 1.07/1.29 tff(250,plain,
% 1.07/1.29 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a720) | c2_1(a720) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a720))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[249, 248])).
% 1.07/1.29 tff(251,plain,
% 1.07/1.29 (~c1_1(a716)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[250, 133, 91, 244, 82, 76, 236, 58])).
% 1.07/1.29 tff(252,plain,
% 1.07/1.29 (^[U: $i] : refl((hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))) <=> (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))))),
% 1.07/1.29 inference(bind,[status(th)],[])).
% 1.07/1.29 tff(253,plain,
% 1.07/1.29 (![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))),
% 1.07/1.29 inference(quant_intro,[status(thm)],[252])).
% 1.07/1.29 tff(254,plain,
% 1.07/1.29 (![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(255,plain,
% 1.07/1.29 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U))))), (((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))), (((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))))), ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp24) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))) | hskp24))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))) | hskp24) <=> (hskp24 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))), ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp24) <=> (hskp24 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))))), (((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp24) | hskp18) <=> ((hskp24 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))) | hskp18))), rewrite(((hskp24 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))) | hskp18) <=> (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))), (((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp24) | hskp18) <=> (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))))),
% 1.07/1.29 inference(bind,[status(th)],[])).
% 1.07/1.29 tff(256,plain,
% 1.07/1.29 (![U: $i] : ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp24) | hskp18) <=> ![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))),
% 1.07/1.29 inference(quant_intro,[status(thm)],[255])).
% 1.07/1.29 tff(257,axiom,(![U: $i] : ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp24) | hskp18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause156')).
% 1.07/1.29 tff(258,plain,
% 1.07/1.29 (![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[257, 256])).
% 1.07/1.29 tff(259,plain,
% 1.07/1.29 (![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[258, 254])).
% 1.07/1.29 tff(260,plain,(
% 1.07/1.29 ![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))),
% 1.07/1.29 inference(skolemize,[status(sab)],[259])).
% 1.07/1.29 tff(261,plain,
% 1.07/1.29 (![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[260, 253])).
% 1.07/1.29 tff(262,plain,
% 1.07/1.29 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(263,plain,
% 1.07/1.29 ((hskp24 | hskp18 | (~ndr1_0) | c1_1(a716) | c3_1(a716) | (~c2_1(a716))) <=> (hskp24 | hskp18 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(264,plain,
% 1.07/1.29 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a716) | c3_1(a716) | (~c2_1(a716)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716)))),
% 1.07/1.29 inference(monotonicity,[status(thm)],[263])).
% 1.07/1.29 tff(265,plain,
% 1.07/1.29 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a716) | c3_1(a716) | (~c2_1(a716)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716))),
% 1.07/1.29 inference(transitivity,[status(thm)],[264, 262])).
% 1.07/1.29 tff(266,plain,
% 1.07/1.29 ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a716) | c3_1(a716) | (~c2_1(a716)))),
% 1.07/1.29 inference(quant_inst,[status(thm)],[])).
% 1.07/1.29 tff(267,plain,
% 1.07/1.29 ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[266, 265])).
% 1.07/1.29 tff(268,plain,
% 1.07/1.29 (hskp24),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[267, 133, 34, 244, 236, 261, 251])).
% 1.07/1.29 tff(269,plain,
% 1.07/1.29 (((~hskp24) | (~c2_1(a762))) <=> ((~hskp24) | (~c2_1(a762)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(270,plain,
% 1.07/1.29 (((~c2_1(a762)) | (~hskp24)) <=> ((~hskp24) | (~c2_1(a762)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(271,axiom,((~c2_1(a762)) | (~hskp24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause97')).
% 1.07/1.29 tff(272,plain,
% 1.07/1.29 ((~hskp24) | (~c2_1(a762))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[271, 270])).
% 1.07/1.29 tff(273,plain,
% 1.07/1.29 ((~hskp24) | (~c2_1(a762))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[272, 269])).
% 1.07/1.29 tff(274,plain,
% 1.07/1.29 (~c2_1(a762)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[273, 268])).
% 1.07/1.29 tff(275,plain,
% 1.07/1.29 (((~hskp24) | c3_1(a762)) <=> ((~hskp24) | c3_1(a762))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(276,axiom,((~hskp24) | c3_1(a762)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause63')).
% 1.07/1.29 tff(277,plain,
% 1.07/1.29 ((~hskp24) | c3_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[276, 275])).
% 1.07/1.29 tff(278,plain,
% 1.07/1.29 ((~hskp24) | c3_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[277, 275])).
% 1.07/1.29 tff(279,plain,
% 1.07/1.29 ((~hskp24) | c3_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[278, 275])).
% 1.07/1.29 tff(280,plain,
% 1.07/1.29 ((~hskp24) | c3_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[279, 275])).
% 1.07/1.29 tff(281,plain,
% 1.07/1.29 ((~hskp24) | c3_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[280, 275])).
% 1.07/1.29 tff(282,plain,
% 1.07/1.29 (c3_1(a762)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[281, 268])).
% 1.07/1.29 tff(283,plain,
% 1.07/1.29 (((~hskp24) | c0_1(a762)) <=> ((~hskp24) | c0_1(a762))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(284,axiom,((~hskp24) | c0_1(a762)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause62')).
% 1.07/1.29 tff(285,plain,
% 1.07/1.29 ((~hskp24) | c0_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[284, 283])).
% 1.07/1.29 tff(286,plain,
% 1.07/1.29 ((~hskp24) | c0_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[285, 283])).
% 1.07/1.29 tff(287,plain,
% 1.07/1.29 ((~hskp24) | c0_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[286, 283])).
% 1.07/1.29 tff(288,plain,
% 1.07/1.29 ((~hskp24) | c0_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[287, 283])).
% 1.07/1.29 tff(289,plain,
% 1.07/1.29 ((~hskp24) | c0_1(a762)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[288, 283])).
% 1.07/1.29 tff(290,plain,
% 1.07/1.29 (c0_1(a762)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[289, 268])).
% 1.07/1.29 tff(291,plain,
% 1.07/1.29 (^[V: $i, U: $i] : refl((hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) <=> (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)))),
% 1.07/1.29 inference(bind,[status(th)],[])).
% 1.07/1.29 tff(292,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(quant_intro,[status(thm)],[291])).
% 1.07/1.29 tff(293,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(294,plain,
% 1.07/1.29 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ndr1_0) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U)) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U)))), (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U)) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))), (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c0_1(V))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c0_1(V)))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c0_1(V)) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c1_1(V) | c0_1(V))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c1_1(V) | c0_1(V)))), ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c1_1(V) | c0_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c1_1(V) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))), ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)))), (((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp29) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp29))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp29) <=> (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))), (((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp29) <=> (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))))),
% 1.07/1.29 inference(bind,[status(th)],[])).
% 1.07/1.29 tff(295,plain,
% 1.07/1.29 (![V: $i, U: $i] : ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp29) <=> ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(quant_intro,[status(thm)],[294])).
% 1.07/1.29 tff(296,axiom,(![V: $i, U: $i] : ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause173')).
% 1.07/1.29 tff(297,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[296, 295])).
% 1.07/1.29 tff(298,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[297, 293])).
% 1.07/1.29 tff(299,plain,(
% 1.07/1.29 ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(skolemize,[status(sab)],[298])).
% 1.07/1.29 tff(300,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[299, 292])).
% 1.07/1.29 tff(301,plain,
% 1.07/1.29 (^[V: $i, U: $i] : refl((hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) <=> (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)))),
% 1.07/1.29 inference(bind,[status(th)],[])).
% 1.07/1.29 tff(302,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(quant_intro,[status(thm)],[301])).
% 1.07/1.29 tff(303,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(304,plain,
% 1.07/1.29 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V)) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp3))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp3) <=> (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3) <=> (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))))),
% 1.07/1.29 inference(bind,[status(th)],[])).
% 1.07/1.29 tff(305,plain,
% 1.07/1.29 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(quant_intro,[status(thm)],[304])).
% 1.07/1.29 tff(306,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause175')).
% 1.07/1.29 tff(307,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[306, 305])).
% 1.07/1.29 tff(308,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[307, 303])).
% 1.07/1.29 tff(309,plain,(
% 1.07/1.29 ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(skolemize,[status(sab)],[308])).
% 1.07/1.29 tff(310,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[309, 302])).
% 1.07/1.29 tff(311,assumption,(~c3_1(a734)), introduced(assumption)).
% 1.07/1.29 tff(312,assumption,(~c2_1(a762)), introduced(assumption)).
% 1.07/1.29 tff(313,assumption,(c3_1(a762)), introduced(assumption)).
% 1.07/1.29 tff(314,assumption,(c0_1(a762)), introduced(assumption)).
% 1.07/1.29 tff(315,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | c2_1(a762) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c0_1(a762)) | (~c3_1(a762)))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp3 | c2_1(a762) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c0_1(a762)) | (~c3_1(a762)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(316,plain,
% 1.07/1.29 ((hskp3 | (~ndr1_0) | c2_1(a762) | (~c3_1(a762)) | (~c0_1(a762)) | c3_1(a734) | c1_1(a734) | c0_1(a734)) <=> (hskp3 | c2_1(a762) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c0_1(a762)) | (~c3_1(a762)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(317,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a762) | (~c3_1(a762)) | (~c0_1(a762)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | c2_1(a762) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c0_1(a762)) | (~c3_1(a762))))),
% 1.07/1.29 inference(monotonicity,[status(thm)],[316])).
% 1.07/1.29 tff(318,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a762) | (~c3_1(a762)) | (~c0_1(a762)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp3 | c2_1(a762) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c0_1(a762)) | (~c3_1(a762)))),
% 1.07/1.29 inference(transitivity,[status(thm)],[317, 315])).
% 1.07/1.29 tff(319,plain,
% 1.07/1.29 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a762) | (~c3_1(a762)) | (~c0_1(a762)) | c3_1(a734) | c1_1(a734) | c0_1(a734))),
% 1.07/1.29 inference(quant_inst,[status(thm)],[])).
% 1.07/1.29 tff(320,plain,
% 1.07/1.29 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp3 | c2_1(a762) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c0_1(a762)) | (~c3_1(a762))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[319, 318])).
% 1.07/1.29 tff(321,plain,
% 1.07/1.29 (hskp3),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[320, 133, 314, 313, 312, 46, 45, 311, 310])).
% 1.07/1.29 tff(322,plain,
% 1.07/1.29 (((~hskp3) | (~c3_1(a710))) <=> ((~hskp3) | (~c3_1(a710)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(323,plain,
% 1.07/1.29 (((~c3_1(a710)) | (~hskp3)) <=> ((~hskp3) | (~c3_1(a710)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(324,axiom,((~c3_1(a710)) | (~hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause133')).
% 1.07/1.29 tff(325,plain,
% 1.07/1.29 ((~hskp3) | (~c3_1(a710))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[324, 323])).
% 1.07/1.29 tff(326,plain,
% 1.07/1.29 ((~hskp3) | (~c3_1(a710))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[325, 322])).
% 1.07/1.29 tff(327,plain,
% 1.07/1.29 (~c3_1(a710)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[326, 321])).
% 1.07/1.29 tff(328,plain,
% 1.07/1.29 (((~hskp3) | (~c2_1(a710))) <=> ((~hskp3) | (~c2_1(a710)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(329,plain,
% 1.07/1.29 (((~c2_1(a710)) | (~hskp3)) <=> ((~hskp3) | (~c2_1(a710)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(330,axiom,((~c2_1(a710)) | (~hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause132')).
% 1.07/1.29 tff(331,plain,
% 1.07/1.29 ((~hskp3) | (~c2_1(a710))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[330, 329])).
% 1.07/1.29 tff(332,plain,
% 1.07/1.29 ((~hskp3) | (~c2_1(a710))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[331, 328])).
% 1.07/1.29 tff(333,plain,
% 1.07/1.29 (~c2_1(a710)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[332, 321])).
% 1.07/1.29 tff(334,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | c0_1(a710))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | c0_1(a710))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(335,plain,
% 1.07/1.29 ((hskp29 | (~ndr1_0) | c2_1(a710) | c0_1(a710) | c3_1(a710) | c3_1(a734) | c1_1(a734) | c0_1(a734)) <=> (hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | c0_1(a710))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(336,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a710) | c0_1(a710) | c3_1(a710) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | c0_1(a710)))),
% 1.07/1.29 inference(monotonicity,[status(thm)],[335])).
% 1.07/1.29 tff(337,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a710) | c0_1(a710) | c3_1(a710) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | c0_1(a710))),
% 1.07/1.29 inference(transitivity,[status(thm)],[336, 334])).
% 1.07/1.29 tff(338,plain,
% 1.07/1.29 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a710) | c0_1(a710) | c3_1(a710) | c3_1(a734) | c1_1(a734) | c0_1(a734))),
% 1.07/1.29 inference(quant_inst,[status(thm)],[])).
% 1.07/1.29 tff(339,plain,
% 1.07/1.29 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | c0_1(a710)),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[338, 337])).
% 1.07/1.29 tff(340,plain,
% 1.07/1.29 (c0_1(a710)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[339, 133, 48, 46, 45, 311, 333, 327, 300])).
% 1.07/1.29 tff(341,plain,
% 1.07/1.29 (^[V: $i, U: $i] : refl((hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))),
% 1.07/1.29 inference(bind,[status(th)],[])).
% 1.07/1.29 tff(342,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.07/1.29 inference(quant_intro,[status(thm)],[341])).
% 1.07/1.29 tff(343,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(344,plain,
% 1.07/1.29 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V))))), (((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c3_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp29) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp29))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp29) <=> (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp29) <=> (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))))),
% 1.07/1.29 inference(bind,[status(th)],[])).
% 1.07/1.29 tff(345,plain,
% 1.07/1.29 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp29) <=> ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.07/1.29 inference(quant_intro,[status(thm)],[344])).
% 1.07/1.29 tff(346,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause177')).
% 1.07/1.29 tff(347,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[346, 345])).
% 1.07/1.29 tff(348,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[347, 343])).
% 1.07/1.29 tff(349,plain,(
% 1.07/1.29 ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.07/1.29 inference(skolemize,[status(sab)],[348])).
% 1.07/1.29 tff(350,plain,
% 1.07/1.29 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[349, 342])).
% 1.07/1.29 tff(351,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | c1_1(a720) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | (~c0_1(a710)) | c0_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp29 | c1_1(a720) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | (~c0_1(a710)) | c0_1(a720) | (~c3_1(a720)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(352,plain,
% 1.07/1.29 ((hskp29 | (~ndr1_0) | c2_1(a710) | c3_1(a710) | (~c0_1(a710)) | c1_1(a720) | c0_1(a720) | (~c3_1(a720))) <=> (hskp29 | c1_1(a720) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | (~c0_1(a710)) | c0_1(a720) | (~c3_1(a720)))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(353,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | (~ndr1_0) | c2_1(a710) | c3_1(a710) | (~c0_1(a710)) | c1_1(a720) | c0_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | c1_1(a720) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | (~c0_1(a710)) | c0_1(a720) | (~c3_1(a720))))),
% 1.07/1.29 inference(monotonicity,[status(thm)],[352])).
% 1.07/1.29 tff(354,plain,
% 1.07/1.29 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | (~ndr1_0) | c2_1(a710) | c3_1(a710) | (~c0_1(a710)) | c1_1(a720) | c0_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp29 | c1_1(a720) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | (~c0_1(a710)) | c0_1(a720) | (~c3_1(a720)))),
% 1.07/1.29 inference(transitivity,[status(thm)],[353, 351])).
% 1.07/1.29 tff(355,plain,
% 1.07/1.29 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | (~ndr1_0) | c2_1(a710) | c3_1(a710) | (~c0_1(a710)) | c1_1(a720) | c0_1(a720) | (~c3_1(a720)))),
% 1.07/1.29 inference(quant_inst,[status(thm)],[])).
% 1.07/1.29 tff(356,plain,
% 1.07/1.29 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp29 | c1_1(a720) | c2_1(a710) | c3_1(a710) | (~ndr1_0) | (~c0_1(a710)) | c0_1(a720) | (~c3_1(a720))),
% 1.07/1.29 inference(modus_ponens,[status(thm)],[355, 354])).
% 1.07/1.29 tff(357,plain,
% 1.07/1.29 ((~c0_1(a710)) | c0_1(a720)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[356, 133, 48, 91, 82, 333, 327, 350])).
% 1.07/1.29 tff(358,plain,
% 1.07/1.29 (c0_1(a720)),
% 1.07/1.29 inference(unit_resolution,[status(thm)],[357, 340])).
% 1.07/1.29 tff(359,plain,
% 1.07/1.29 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)))),
% 1.07/1.29 inference(bind,[status(th)],[])).
% 1.07/1.29 tff(360,plain,
% 1.07/1.29 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.07/1.29 inference(quant_intro,[status(thm)],[359])).
% 1.07/1.29 tff(361,plain,
% 1.07/1.29 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.07/1.29 inference(rewrite,[status(thm)],[])).
% 1.07/1.29 tff(362,plain,
% 1.07/1.29 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W)) | c2_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W)) | c3_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))))),
% 1.07/1.30 inference(bind,[status(th)],[])).
% 1.07/1.30 tff(363,plain,
% 1.07/1.30 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.07/1.30 inference(quant_intro,[status(thm)],[362])).
% 1.07/1.30 tff(364,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause203')).
% 1.07/1.30 tff(365,plain,
% 1.07/1.30 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[364, 363])).
% 1.07/1.30 tff(366,plain,
% 1.07/1.30 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[365, 361])).
% 1.07/1.30 tff(367,plain,(
% 1.07/1.30 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.07/1.30 inference(skolemize,[status(sab)],[366])).
% 1.07/1.30 tff(368,plain,
% 1.07/1.30 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[367, 360])).
% 1.07/1.30 tff(369,plain,
% 1.07/1.30 (^[U: $i] : refl((hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))),
% 1.07/1.30 inference(bind,[status(th)],[])).
% 1.07/1.30 tff(370,plain,
% 1.07/1.30 (![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/1.30 inference(quant_intro,[status(thm)],[369])).
% 1.07/1.30 tff(371,plain,
% 1.07/1.30 (![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(372,plain,
% 1.07/1.30 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp29) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp29))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp29) <=> (hskp29 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp29) <=> (hskp29 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp29) | hskp5) <=> ((hskp29 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp5))), rewrite(((hskp29 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp5) <=> (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp29) | hskp5) <=> (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))))),
% 1.07/1.30 inference(bind,[status(th)],[])).
% 1.07/1.30 tff(373,plain,
% 1.07/1.30 (![U: $i] : ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp29) | hskp5) <=> ![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/1.30 inference(quant_intro,[status(thm)],[372])).
% 1.07/1.30 tff(374,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp29) | hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause163')).
% 1.07/1.30 tff(375,plain,
% 1.07/1.30 (![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[374, 373])).
% 1.07/1.30 tff(376,plain,
% 1.07/1.30 (![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[375, 371])).
% 1.07/1.30 tff(377,plain,(
% 1.07/1.30 ![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/1.30 inference(skolemize,[status(sab)],[376])).
% 1.07/1.30 tff(378,plain,
% 1.07/1.30 (![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[377, 370])).
% 1.07/1.30 tff(379,plain,
% 1.07/1.30 (((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | c1_1(a720) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a720)))) <=> ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp29 | hskp5 | c1_1(a720) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a720)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(380,plain,
% 1.07/1.30 ((hskp29 | hskp5 | (~ndr1_0) | c1_1(a720) | (~c3_1(a720)) | (~c0_1(a720))) <=> (hskp29 | hskp5 | c1_1(a720) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a720)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(381,plain,
% 1.07/1.30 (((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | (~ndr1_0) | c1_1(a720) | (~c3_1(a720)) | (~c0_1(a720)))) <=> ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | c1_1(a720) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a720))))),
% 1.07/1.30 inference(monotonicity,[status(thm)],[380])).
% 1.07/1.30 tff(382,plain,
% 1.07/1.30 (((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | (~ndr1_0) | c1_1(a720) | (~c3_1(a720)) | (~c0_1(a720)))) <=> ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp29 | hskp5 | c1_1(a720) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a720)))),
% 1.07/1.30 inference(transitivity,[status(thm)],[381, 379])).
% 1.07/1.30 tff(383,plain,
% 1.07/1.30 ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | (~ndr1_0) | c1_1(a720) | (~c3_1(a720)) | (~c0_1(a720)))),
% 1.07/1.30 inference(quant_inst,[status(thm)],[])).
% 1.07/1.30 tff(384,plain,
% 1.07/1.30 ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp29 | hskp5 | c1_1(a720) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a720))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[383, 382])).
% 1.07/1.30 tff(385,plain,
% 1.07/1.30 (hskp5 | (~c0_1(a720))),
% 1.07/1.30 inference(unit_resolution,[status(thm)],[384, 133, 48, 91, 82, 378])).
% 1.07/1.30 tff(386,plain,
% 1.07/1.30 (hskp5),
% 1.07/1.30 inference(unit_resolution,[status(thm)],[385, 358])).
% 1.07/1.30 tff(387,plain,
% 1.07/1.30 (((~hskp5) | (~c3_1(a713))) <=> ((~hskp5) | (~c3_1(a713)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(388,plain,
% 1.07/1.30 (((~c3_1(a713)) | (~hskp5)) <=> ((~hskp5) | (~c3_1(a713)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(389,axiom,((~c3_1(a713)) | (~hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause128')).
% 1.07/1.30 tff(390,plain,
% 1.07/1.30 ((~hskp5) | (~c3_1(a713))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[389, 388])).
% 1.07/1.30 tff(391,plain,
% 1.07/1.30 ((~hskp5) | (~c3_1(a713))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[390, 387])).
% 1.07/1.30 tff(392,plain,
% 1.07/1.30 (~c3_1(a713)),
% 1.07/1.30 inference(unit_resolution,[status(thm)],[391, 386])).
% 1.07/1.30 tff(393,plain,
% 1.07/1.30 (((~hskp5) | (~c2_1(a713))) <=> ((~hskp5) | (~c2_1(a713)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(394,plain,
% 1.07/1.30 (((~c2_1(a713)) | (~hskp5)) <=> ((~hskp5) | (~c2_1(a713)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(395,axiom,((~c2_1(a713)) | (~hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause127')).
% 1.07/1.30 tff(396,plain,
% 1.07/1.30 ((~hskp5) | (~c2_1(a713))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[395, 394])).
% 1.07/1.30 tff(397,plain,
% 1.07/1.30 ((~hskp5) | (~c2_1(a713))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[396, 393])).
% 1.07/1.30 tff(398,plain,
% 1.07/1.30 (~c2_1(a713)),
% 1.07/1.30 inference(unit_resolution,[status(thm)],[397, 386])).
% 1.07/1.30 tff(399,plain,
% 1.07/1.30 (((~hskp5) | (~c0_1(a713))) <=> ((~hskp5) | (~c0_1(a713)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(400,plain,
% 1.07/1.30 (((~c0_1(a713)) | (~hskp5)) <=> ((~hskp5) | (~c0_1(a713)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(401,axiom,((~c0_1(a713)) | (~hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause126')).
% 1.07/1.30 tff(402,plain,
% 1.07/1.30 ((~hskp5) | (~c0_1(a713))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[401, 400])).
% 1.07/1.30 tff(403,plain,
% 1.07/1.30 ((~hskp5) | (~c0_1(a713))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[402, 399])).
% 1.07/1.30 tff(404,plain,
% 1.07/1.30 (~c0_1(a713)),
% 1.07/1.30 inference(unit_resolution,[status(thm)],[403, 386])).
% 1.07/1.30 tff(405,plain,
% 1.07/1.30 (^[U: $i] : refl((hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))) <=> (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))))),
% 1.07/1.30 inference(bind,[status(th)],[])).
% 1.07/1.30 tff(406,plain,
% 1.07/1.30 (![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.07/1.30 inference(quant_intro,[status(thm)],[405])).
% 1.07/1.30 tff(407,plain,
% 1.07/1.30 (![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(408,plain,
% 1.07/1.30 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c0_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U))))), (((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c0_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c0_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))), (((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))))), ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))) | hskp30))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))) | hskp30) <=> (hskp30 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))), ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) <=> (hskp30 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))))), (((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) | hskp18) <=> ((hskp30 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))) | hskp18))), rewrite(((hskp30 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U))) | hskp18) <=> (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))), (((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) | hskp18) <=> (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))))),
% 1.07/1.30 inference(bind,[status(th)],[])).
% 1.07/1.30 tff(409,plain,
% 1.07/1.30 (![U: $i] : ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) | hskp18) <=> ![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.07/1.30 inference(quant_intro,[status(thm)],[408])).
% 1.07/1.30 tff(410,axiom,(![U: $i] : ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) | hskp18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause152')).
% 1.07/1.30 tff(411,plain,
% 1.07/1.30 (![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[410, 409])).
% 1.07/1.30 tff(412,plain,
% 1.07/1.30 (![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[411, 407])).
% 1.07/1.30 tff(413,plain,(
% 1.07/1.30 ![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.07/1.30 inference(skolemize,[status(sab)],[412])).
% 1.07/1.30 tff(414,plain,
% 1.07/1.30 (![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[413, 406])).
% 1.07/1.30 tff(415,plain,
% 1.07/1.30 (((~hskp3) | (~c1_1(a710))) <=> ((~hskp3) | (~c1_1(a710)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(416,plain,
% 1.07/1.30 (((~c1_1(a710)) | (~hskp3)) <=> ((~hskp3) | (~c1_1(a710)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(417,axiom,((~c1_1(a710)) | (~hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause131')).
% 1.07/1.30 tff(418,plain,
% 1.07/1.30 ((~hskp3) | (~c1_1(a710))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[417, 416])).
% 1.07/1.30 tff(419,plain,
% 1.07/1.30 ((~hskp3) | (~c1_1(a710))),
% 1.07/1.30 inference(modus_ponens,[status(thm)],[418, 415])).
% 1.07/1.30 tff(420,plain,
% 1.07/1.30 (~c1_1(a710)),
% 1.07/1.30 inference(unit_resolution,[status(thm)],[419, 321])).
% 1.07/1.30 tff(421,plain,
% 1.07/1.30 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | c1_1(a710) | c2_1(a710) | (~ndr1_0) | (~c0_1(a710)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c1_1(a710) | c2_1(a710) | (~ndr1_0) | (~c0_1(a710)))),
% 1.07/1.30 inference(rewrite,[status(thm)],[])).
% 1.07/1.30 tff(422,plain,
% 1.07/1.30 ((hskp30 | hskp18 | (~ndr1_0) | c2_1(a710) | c1_1(a710) | (~c0_1(a710))) <=> (hskp30 | hskp18 | c1_1(a710) | c2_1(a710) | (~ndr1_0) | (~c0_1(a710)))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(423,plain,
% 1.14/1.30 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a710) | c1_1(a710) | (~c0_1(a710)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | c1_1(a710) | c2_1(a710) | (~ndr1_0) | (~c0_1(a710))))),
% 1.14/1.30 inference(monotonicity,[status(thm)],[422])).
% 1.14/1.30 tff(424,plain,
% 1.14/1.30 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a710) | c1_1(a710) | (~c0_1(a710)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c1_1(a710) | c2_1(a710) | (~ndr1_0) | (~c0_1(a710)))),
% 1.14/1.30 inference(transitivity,[status(thm)],[423, 421])).
% 1.14/1.30 tff(425,plain,
% 1.14/1.30 ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a710) | c1_1(a710) | (~c0_1(a710)))),
% 1.14/1.30 inference(quant_inst,[status(thm)],[])).
% 1.14/1.30 tff(426,plain,
% 1.14/1.30 ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c1_1(a710) | c2_1(a710) | (~ndr1_0) | (~c0_1(a710))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[425, 424])).
% 1.14/1.30 tff(427,plain,
% 1.14/1.30 (hskp30 | (~c0_1(a710))),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[426, 133, 34, 420, 333, 414])).
% 1.14/1.30 tff(428,plain,
% 1.14/1.30 (hskp30),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[427, 340])).
% 1.14/1.30 tff(429,plain,
% 1.14/1.30 (((~hskp30) | c3_1(a714)) <=> ((~hskp30) | c3_1(a714))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(430,axiom,((~hskp30) | c3_1(a714)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause50')).
% 1.14/1.30 tff(431,plain,
% 1.14/1.30 ((~hskp30) | c3_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[430, 429])).
% 1.14/1.30 tff(432,plain,
% 1.14/1.30 ((~hskp30) | c3_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[431, 429])).
% 1.14/1.30 tff(433,plain,
% 1.14/1.30 ((~hskp30) | c3_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[432, 429])).
% 1.14/1.30 tff(434,plain,
% 1.14/1.30 ((~hskp30) | c3_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[433, 429])).
% 1.14/1.30 tff(435,plain,
% 1.14/1.30 ((~hskp30) | c3_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[434, 429])).
% 1.14/1.30 tff(436,plain,
% 1.14/1.30 (c3_1(a714)),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[435, 428])).
% 1.14/1.30 tff(437,plain,
% 1.14/1.30 (((~hskp30) | c2_1(a714)) <=> ((~hskp30) | c2_1(a714))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(438,axiom,((~hskp30) | c2_1(a714)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause49')).
% 1.14/1.30 tff(439,plain,
% 1.14/1.30 ((~hskp30) | c2_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[438, 437])).
% 1.14/1.30 tff(440,plain,
% 1.14/1.30 ((~hskp30) | c2_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[439, 437])).
% 1.14/1.30 tff(441,plain,
% 1.14/1.30 ((~hskp30) | c2_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[440, 437])).
% 1.14/1.30 tff(442,plain,
% 1.14/1.30 ((~hskp30) | c2_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[441, 437])).
% 1.14/1.30 tff(443,plain,
% 1.14/1.30 ((~hskp30) | c2_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[442, 437])).
% 1.14/1.30 tff(444,plain,
% 1.14/1.30 (c2_1(a714)),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[443, 428])).
% 1.14/1.30 tff(445,plain,
% 1.14/1.30 (((~hskp30) | c0_1(a714)) <=> ((~hskp30) | c0_1(a714))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(446,axiom,((~hskp30) | c0_1(a714)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause48')).
% 1.14/1.30 tff(447,plain,
% 1.14/1.30 ((~hskp30) | c0_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[446, 445])).
% 1.14/1.30 tff(448,plain,
% 1.14/1.30 ((~hskp30) | c0_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[447, 445])).
% 1.14/1.30 tff(449,plain,
% 1.14/1.30 ((~hskp30) | c0_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[448, 445])).
% 1.14/1.30 tff(450,plain,
% 1.14/1.30 ((~hskp30) | c0_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[449, 445])).
% 1.14/1.30 tff(451,plain,
% 1.14/1.30 ((~hskp30) | c0_1(a714)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[450, 445])).
% 1.14/1.30 tff(452,plain,
% 1.14/1.30 (c0_1(a714)),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[451, 428])).
% 1.14/1.30 tff(453,plain,
% 1.14/1.30 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a720) | c2_1(a720) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a720) | c2_1(a720) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(454,plain,
% 1.14/1.30 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a720) | c2_1(a720) | (~c0_1(a720)) | c3_1(a713) | c2_1(a713) | c0_1(a713)) <=> (c1_1(a720) | c2_1(a720) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(455,plain,
% 1.14/1.30 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a720) | c2_1(a720) | (~c0_1(a720)) | c3_1(a713) | c2_1(a713) | c0_1(a713))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a720) | c2_1(a720) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.14/1.30 inference(monotonicity,[status(thm)],[454])).
% 1.14/1.30 tff(456,plain,
% 1.14/1.30 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a720) | c2_1(a720) | (~c0_1(a720)) | c3_1(a713) | c2_1(a713) | c0_1(a713))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a720) | c2_1(a720) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.30 inference(transitivity,[status(thm)],[455, 453])).
% 1.14/1.30 tff(457,plain,
% 1.14/1.30 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a720) | c2_1(a720) | (~c0_1(a720)) | c3_1(a713) | c2_1(a713) | c0_1(a713))),
% 1.14/1.30 inference(quant_inst,[status(thm)],[])).
% 1.14/1.30 tff(458,plain,
% 1.14/1.30 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a720) | c2_1(a720) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | (~c0_1(a720)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[457, 456])).
% 1.14/1.30 tff(459,plain,
% 1.14/1.30 ($false),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[458, 133, 452, 444, 436, 82, 76, 404, 398, 392, 368, 358])).
% 1.14/1.30 tff(460,plain,(c3_1(a734) | hskp29 | hskp18 | c0_1(a734) | c1_1(a734) | (~c0_1(a762)) | (~c3_1(a762)) | c2_1(a762)), inference(lemma,lemma(discharge,[]))).
% 1.14/1.30 tff(461,plain,
% 1.14/1.30 (c3_1(a734)),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[460, 45, 34, 46, 48, 290, 282, 274])).
% 1.14/1.30 tff(462,plain,
% 1.14/1.30 (((~hskp17) | (~c3_1(a734))) <=> ((~hskp17) | (~c3_1(a734)))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(463,plain,
% 1.14/1.30 (((~c3_1(a734)) | (~hskp17)) <=> ((~hskp17) | (~c3_1(a734)))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(464,axiom,((~c3_1(a734)) | (~hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause107')).
% 1.14/1.30 tff(465,plain,
% 1.14/1.30 ((~hskp17) | (~c3_1(a734))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[464, 463])).
% 1.14/1.30 tff(466,plain,
% 1.14/1.30 ((~hskp17) | (~c3_1(a734))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[465, 462])).
% 1.14/1.30 tff(467,plain,
% 1.14/1.30 (~hskp17),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[466, 461])).
% 1.14/1.30 tff(468,plain,
% 1.14/1.30 (hskp17 | hskp14),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[139, 133, 91, 82, 76, 101])).
% 1.14/1.30 tff(469,plain,
% 1.14/1.30 (hskp14),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[468, 467])).
% 1.14/1.30 tff(470,plain,
% 1.14/1.30 (c3_1(a730)),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[148, 469])).
% 1.14/1.30 tff(471,plain,
% 1.14/1.30 (c1_1(a730)),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[156, 469])).
% 1.14/1.30 tff(472,plain,
% 1.14/1.30 (c0_1(a730)),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[163, 133, 34, 467, 471, 470, 44])).
% 1.14/1.30 tff(473,plain,
% 1.14/1.30 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W))) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W))))),
% 1.14/1.30 inference(bind,[status(th)],[])).
% 1.14/1.30 tff(474,plain,
% 1.14/1.30 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))),
% 1.14/1.30 inference(quant_intro,[status(thm)],[473])).
% 1.14/1.30 tff(475,plain,
% 1.14/1.30 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(476,plain,
% 1.14/1.30 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))) | (~c0_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c0_1(W)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c0_1(W))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c0_1(W))) | (~c1_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c0_1(W))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W))))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) | c3_1(U)) | c3_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W))) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) | c3_1(U)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W))))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) | c3_1(U)) | c3_1(V)) | c2_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | (~c1_1(W)) | (~c0_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) | c3_1(U)) | c3_1(V)) | c2_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))))),
% 1.14/1.30 inference(bind,[status(th)],[])).
% 1.14/1.30 tff(477,plain,
% 1.14/1.30 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) | c3_1(U)) | c3_1(V)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))),
% 1.14/1.30 inference(quant_intro,[status(thm)],[476])).
% 1.14/1.30 tff(478,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c0_1(W))) | (~c1_1(W))) | c3_1(U)) | c3_1(V)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause207')).
% 1.14/1.30 tff(479,plain,
% 1.14/1.30 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[478, 477])).
% 1.14/1.30 tff(480,plain,
% 1.14/1.30 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[479, 475])).
% 1.14/1.30 tff(481,plain,(
% 1.14/1.30 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))),
% 1.14/1.30 inference(skolemize,[status(sab)],[480])).
% 1.14/1.30 tff(482,plain,
% 1.14/1.30 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[481, 474])).
% 1.14/1.30 tff(483,plain,
% 1.14/1.30 (^[U: $i] : refl((hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) <=> (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))))),
% 1.14/1.30 inference(bind,[status(th)],[])).
% 1.14/1.30 tff(484,plain,
% 1.14/1.30 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.14/1.30 inference(quant_intro,[status(thm)],[483])).
% 1.14/1.30 tff(485,plain,
% 1.14/1.30 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(486,plain,
% 1.14/1.30 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c3_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U))))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) <=> (((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) | hskp7))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) | hskp7) <=> (hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) <=> (hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) | hskp8) <=> ((hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) | hskp8))), rewrite(((hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) | hskp8) <=> (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) | hskp8) <=> (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))))),
% 1.14/1.30 inference(bind,[status(th)],[])).
% 1.14/1.30 tff(487,plain,
% 1.14/1.30 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) | hskp8) <=> ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.14/1.30 inference(quant_intro,[status(thm)],[486])).
% 1.14/1.30 tff(488,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause145')).
% 1.14/1.30 tff(489,plain,
% 1.14/1.30 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[488, 487])).
% 1.14/1.30 tff(490,plain,
% 1.14/1.30 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[489, 485])).
% 1.14/1.30 tff(491,plain,(
% 1.14/1.30 ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.14/1.30 inference(skolemize,[status(sab)],[490])).
% 1.14/1.30 tff(492,plain,
% 1.14/1.30 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[491, 484])).
% 1.14/1.30 tff(493,plain,
% 1.14/1.30 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | hskp8 | hskp7 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(494,plain,
% 1.14/1.30 ((hskp8 | hskp7 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | (~c3_1(a734))) <=> (hskp8 | hskp7 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0))),
% 1.14/1.30 inference(rewrite,[status(thm)],[])).
% 1.14/1.30 tff(495,plain,
% 1.14/1.30 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0)))),
% 1.14/1.30 inference(monotonicity,[status(thm)],[494])).
% 1.14/1.30 tff(496,plain,
% 1.14/1.30 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | hskp8 | hskp7 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0))),
% 1.14/1.30 inference(transitivity,[status(thm)],[495, 493])).
% 1.14/1.30 tff(497,plain,
% 1.14/1.30 ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)))),
% 1.14/1.30 inference(quant_inst,[status(thm)],[])).
% 1.14/1.30 tff(498,plain,
% 1.14/1.30 ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | hskp8 | hskp7 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0)),
% 1.14/1.30 inference(modus_ponens,[status(thm)],[497, 496])).
% 1.14/1.30 tff(499,plain,
% 1.14/1.30 (hskp7 | c1_1(a734) | (~c3_1(a734))),
% 1.14/1.30 inference(unit_resolution,[status(thm)],[498, 133, 83, 46, 492])).
% 1.14/1.31 tff(500,plain,
% 1.14/1.31 (hskp7),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[499, 461, 45])).
% 1.14/1.31 tff(501,plain,
% 1.14/1.31 (((~hskp7) | (~c3_1(a717))) <=> ((~hskp7) | (~c3_1(a717)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(502,plain,
% 1.14/1.31 (((~c3_1(a717)) | (~hskp7)) <=> ((~hskp7) | (~c3_1(a717)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(503,axiom,((~c3_1(a717)) | (~hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause124')).
% 1.14/1.31 tff(504,plain,
% 1.14/1.31 ((~hskp7) | (~c3_1(a717))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[503, 502])).
% 1.14/1.31 tff(505,plain,
% 1.14/1.31 ((~hskp7) | (~c3_1(a717))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[504, 501])).
% 1.14/1.31 tff(506,plain,
% 1.14/1.31 (~c3_1(a717)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[505, 500])).
% 1.14/1.31 tff(507,plain,
% 1.14/1.31 (~c2_1(a730)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[169, 469])).
% 1.14/1.31 tff(508,plain,
% 1.14/1.31 (((~hskp6) | c0_1(a716)) <=> ((~hskp6) | c0_1(a716))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(509,axiom,((~hskp6) | c0_1(a716)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause88')).
% 1.14/1.31 tff(510,plain,
% 1.14/1.31 ((~hskp6) | c0_1(a716)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[509, 508])).
% 1.14/1.31 tff(511,plain,
% 1.14/1.31 ((~hskp6) | c0_1(a716)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[510, 508])).
% 1.14/1.31 tff(512,plain,
% 1.14/1.31 ((~hskp6) | c0_1(a716)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[511, 508])).
% 1.14/1.31 tff(513,plain,
% 1.14/1.31 ((~hskp6) | c0_1(a716)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[512, 508])).
% 1.14/1.31 tff(514,plain,
% 1.14/1.31 ((~hskp6) | c0_1(a716)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[513, 508])).
% 1.14/1.31 tff(515,plain,
% 1.14/1.31 (c0_1(a716)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[514, 230])).
% 1.14/1.31 tff(516,plain,
% 1.14/1.31 (((~hskp7) | c0_1(a717)) <=> ((~hskp7) | c0_1(a717))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(517,axiom,((~hskp7) | c0_1(a717)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause87')).
% 1.14/1.31 tff(518,plain,
% 1.14/1.31 ((~hskp7) | c0_1(a717)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[517, 516])).
% 1.14/1.31 tff(519,plain,
% 1.14/1.31 ((~hskp7) | c0_1(a717)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[518, 516])).
% 1.14/1.31 tff(520,plain,
% 1.14/1.31 ((~hskp7) | c0_1(a717)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[519, 516])).
% 1.14/1.31 tff(521,plain,
% 1.14/1.31 ((~hskp7) | c0_1(a717)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[520, 516])).
% 1.14/1.31 tff(522,plain,
% 1.14/1.31 ((~hskp7) | c0_1(a717)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[521, 516])).
% 1.14/1.31 tff(523,plain,
% 1.14/1.31 (c0_1(a717)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[522, 500])).
% 1.14/1.31 tff(524,plain,
% 1.14/1.31 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | (c2_1(a730) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a730)) | (~c0_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | c2_1(a730) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a730)) | (~c0_1(a730)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(525,plain,
% 1.14/1.31 (((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730))) <=> (c2_1(a730) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a730)) | (~c0_1(a730)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(526,plain,
% 1.14/1.31 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | (c2_1(a730) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a730)) | (~c0_1(a730))))),
% 1.14/1.31 inference(monotonicity,[status(thm)],[525])).
% 1.14/1.31 tff(527,plain,
% 1.14/1.31 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | c2_1(a730) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a730)) | (~c0_1(a730)))),
% 1.14/1.31 inference(transitivity,[status(thm)],[526, 524])).
% 1.14/1.31 tff(528,plain,
% 1.14/1.31 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730)))),
% 1.14/1.31 inference(quant_inst,[status(thm)],[])).
% 1.14/1.31 tff(529,plain,
% 1.14/1.31 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | c2_1(a730) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a730)) | (~c0_1(a730))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[528, 527])).
% 1.14/1.31 tff(530,plain,
% 1.14/1.31 (~c1_1(a717)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[529, 133, 471, 523, 515, 244, 507, 506, 236, 482, 472])).
% 1.14/1.31 tff(531,plain,
% 1.14/1.31 (^[V: $i, U: $i] : refl((hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))),
% 1.14/1.31 inference(bind,[status(th)],[])).
% 1.14/1.31 tff(532,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.14/1.31 inference(quant_intro,[status(thm)],[531])).
% 1.14/1.31 tff(533,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(534,plain,
% 1.14/1.31 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U))))), (((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))), (((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))))), ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V))), ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V)))), (((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V))), (((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V)))), ((((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), ((((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))), (((((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp17) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | hskp17))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | hskp17) <=> (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), (((((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp17) <=> (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))))),
% 1.14/1.31 inference(bind,[status(th)],[])).
% 1.14/1.31 tff(535,plain,
% 1.14/1.31 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp17) <=> ![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.14/1.31 inference(quant_intro,[status(thm)],[534])).
% 1.14/1.31 tff(536,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause174')).
% 1.14/1.31 tff(537,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[536, 535])).
% 1.14/1.31 tff(538,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[537, 533])).
% 1.14/1.31 tff(539,plain,(
% 1.14/1.31 ![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.14/1.31 inference(skolemize,[status(sab)],[538])).
% 1.14/1.31 tff(540,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[539, 532])).
% 1.14/1.31 tff(541,plain,
% 1.14/1.31 (((~hskp7) | (~c2_1(a717))) <=> ((~hskp7) | (~c2_1(a717)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(542,plain,
% 1.14/1.31 (((~c2_1(a717)) | (~hskp7)) <=> ((~hskp7) | (~c2_1(a717)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(543,axiom,((~c2_1(a717)) | (~hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause123')).
% 1.14/1.31 tff(544,plain,
% 1.14/1.31 ((~hskp7) | (~c2_1(a717))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[543, 542])).
% 1.14/1.31 tff(545,plain,
% 1.14/1.31 ((~hskp7) | (~c2_1(a717))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[544, 541])).
% 1.14/1.31 tff(546,plain,
% 1.14/1.31 (~c2_1(a717)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[545, 500])).
% 1.14/1.31 tff(547,plain,
% 1.14/1.31 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716) | c1_1(a717))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716) | c1_1(a717))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(548,plain,
% 1.14/1.31 ((hskp17 | (~ndr1_0) | c1_1(a716) | c3_1(a716) | (~c2_1(a716)) | c3_1(a717) | c1_1(a717) | c2_1(a717)) <=> (hskp17 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716) | c1_1(a717))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(549,plain,
% 1.14/1.31 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a716) | c3_1(a716) | (~c2_1(a716)) | c3_1(a717) | c1_1(a717) | c2_1(a717))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716) | c1_1(a717)))),
% 1.14/1.31 inference(monotonicity,[status(thm)],[548])).
% 1.14/1.31 tff(550,plain,
% 1.14/1.31 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a716) | c3_1(a716) | (~c2_1(a716)) | c3_1(a717) | c1_1(a717) | c2_1(a717))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716) | c1_1(a717))),
% 1.14/1.31 inference(transitivity,[status(thm)],[549, 547])).
% 1.14/1.31 tff(551,plain,
% 1.14/1.31 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a716) | c3_1(a716) | (~c2_1(a716)) | c3_1(a717) | c1_1(a717) | c2_1(a717))),
% 1.14/1.31 inference(quant_inst,[status(thm)],[])).
% 1.14/1.31 tff(552,plain,
% 1.14/1.31 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | c1_1(a716) | c1_1(a717)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[551, 550])).
% 1.14/1.31 tff(553,plain,
% 1.14/1.31 ($false),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[552, 133, 467, 244, 546, 506, 236, 540, 251, 530])).
% 1.14/1.31 tff(554,plain,(c1_1(a734) | hskp18 | hskp8 | c0_1(a734) | hskp29), inference(lemma,lemma(discharge,[]))).
% 1.14/1.31 tff(555,plain,
% 1.14/1.31 ($false),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[554, 221, 215, 83, 34, 48])).
% 1.14/1.31 tff(556,plain,(hskp18 | hskp8 | hskp29), inference(lemma,lemma(discharge,[]))).
% 1.14/1.31 tff(557,plain,
% 1.14/1.31 (hskp18),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[556, 83, 48])).
% 1.14/1.31 tff(558,plain,
% 1.14/1.31 (((~hskp18) | (~c1_1(a739))) <=> ((~hskp18) | (~c1_1(a739)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(559,plain,
% 1.14/1.31 (((~c1_1(a739)) | (~hskp18)) <=> ((~hskp18) | (~c1_1(a739)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(560,axiom,((~c1_1(a739)) | (~hskp18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause104')).
% 1.14/1.31 tff(561,plain,
% 1.14/1.31 ((~hskp18) | (~c1_1(a739))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[560, 559])).
% 1.14/1.31 tff(562,plain,
% 1.14/1.31 ((~hskp18) | (~c1_1(a739))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[561, 558])).
% 1.14/1.31 tff(563,plain,
% 1.14/1.31 (~c1_1(a739)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[562, 557])).
% 1.14/1.31 tff(564,plain,
% 1.14/1.31 (((~hskp18) | c3_1(a739)) <=> ((~hskp18) | c3_1(a739))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(565,axiom,((~hskp18) | c3_1(a739)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause74')).
% 1.14/1.31 tff(566,plain,
% 1.14/1.31 ((~hskp18) | c3_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[565, 564])).
% 1.14/1.31 tff(567,plain,
% 1.14/1.31 ((~hskp18) | c3_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[566, 564])).
% 1.14/1.31 tff(568,plain,
% 1.14/1.31 ((~hskp18) | c3_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[567, 564])).
% 1.14/1.31 tff(569,plain,
% 1.14/1.31 ((~hskp18) | c3_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[568, 564])).
% 1.14/1.31 tff(570,plain,
% 1.14/1.31 ((~hskp18) | c3_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[569, 564])).
% 1.14/1.31 tff(571,plain,
% 1.14/1.31 (c3_1(a739)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[570, 557])).
% 1.14/1.31 tff(572,plain,
% 1.14/1.31 (((~hskp18) | c2_1(a739)) <=> ((~hskp18) | c2_1(a739))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(573,axiom,((~hskp18) | c2_1(a739)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause73')).
% 1.14/1.31 tff(574,plain,
% 1.14/1.31 ((~hskp18) | c2_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[573, 572])).
% 1.14/1.31 tff(575,plain,
% 1.14/1.31 ((~hskp18) | c2_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[574, 572])).
% 1.14/1.31 tff(576,plain,
% 1.14/1.31 ((~hskp18) | c2_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[575, 572])).
% 1.14/1.31 tff(577,plain,
% 1.14/1.31 ((~hskp18) | c2_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[576, 572])).
% 1.14/1.31 tff(578,plain,
% 1.14/1.31 ((~hskp18) | c2_1(a739)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[577, 572])).
% 1.14/1.31 tff(579,plain,
% 1.14/1.31 (c2_1(a739)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[578, 557])).
% 1.14/1.31 tff(580,plain,
% 1.14/1.31 (^[V: $i, U: $i] : refl((hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))),
% 1.14/1.31 inference(bind,[status(th)],[])).
% 1.14/1.31 tff(581,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.14/1.31 inference(quant_intro,[status(thm)],[580])).
% 1.14/1.31 tff(582,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(583,plain,
% 1.14/1.31 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c0_1(V)) | c3_1(V)) | hskp29) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | hskp29))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | hskp29) <=> (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c0_1(V)) | c3_1(V)) | hskp29) <=> (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))))),
% 1.14/1.31 inference(bind,[status(th)],[])).
% 1.14/1.31 tff(584,plain,
% 1.14/1.31 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c0_1(V)) | c3_1(V)) | hskp29) <=> ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.14/1.31 inference(quant_intro,[status(thm)],[583])).
% 1.14/1.31 tff(585,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c0_1(V)) | c3_1(V)) | hskp29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause185')).
% 1.14/1.31 tff(586,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[585, 584])).
% 1.14/1.31 tff(587,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[586, 582])).
% 1.14/1.31 tff(588,plain,(
% 1.14/1.31 ![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.14/1.31 inference(skolemize,[status(sab)],[587])).
% 1.14/1.31 tff(589,plain,
% 1.14/1.31 (![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[588, 581])).
% 1.14/1.31 tff(590,assumption,(hskp15), introduced(assumption)).
% 1.14/1.31 tff(591,plain,
% 1.14/1.31 (((~hskp15) | (~c3_1(a731))) <=> ((~hskp15) | (~c3_1(a731)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(592,plain,
% 1.14/1.31 (((~c3_1(a731)) | (~hskp15)) <=> ((~hskp15) | (~c3_1(a731)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(593,axiom,((~c3_1(a731)) | (~hskp15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause110')).
% 1.14/1.31 tff(594,plain,
% 1.14/1.31 ((~hskp15) | (~c3_1(a731))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[593, 592])).
% 1.14/1.31 tff(595,plain,
% 1.14/1.31 ((~hskp15) | (~c3_1(a731))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[594, 591])).
% 1.14/1.31 tff(596,plain,
% 1.14/1.31 (~c3_1(a731)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[595, 590])).
% 1.14/1.31 tff(597,plain,
% 1.14/1.31 (((~hskp15) | (~c0_1(a731))) <=> ((~hskp15) | (~c0_1(a731)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(598,plain,
% 1.14/1.31 (((~c0_1(a731)) | (~hskp15)) <=> ((~hskp15) | (~c0_1(a731)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(599,axiom,((~c0_1(a731)) | (~hskp15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause109')).
% 1.14/1.31 tff(600,plain,
% 1.14/1.31 ((~hskp15) | (~c0_1(a731))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[599, 598])).
% 1.14/1.31 tff(601,plain,
% 1.14/1.31 ((~hskp15) | (~c0_1(a731))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[600, 597])).
% 1.14/1.31 tff(602,plain,
% 1.14/1.31 (~c0_1(a731)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[601, 590])).
% 1.14/1.31 tff(603,assumption,(~c1_1(a739)), introduced(assumption)).
% 1.14/1.31 tff(604,plain,
% 1.14/1.31 (((~hskp15) | c2_1(a731)) <=> ((~hskp15) | c2_1(a731))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(605,axiom,((~hskp15) | c2_1(a731)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause77')).
% 1.14/1.31 tff(606,plain,
% 1.14/1.31 ((~hskp15) | c2_1(a731)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[605, 604])).
% 1.14/1.31 tff(607,plain,
% 1.14/1.31 ((~hskp15) | c2_1(a731)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[606, 604])).
% 1.14/1.31 tff(608,plain,
% 1.14/1.31 ((~hskp15) | c2_1(a731)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[607, 604])).
% 1.14/1.31 tff(609,plain,
% 1.14/1.31 ((~hskp15) | c2_1(a731)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[608, 604])).
% 1.14/1.31 tff(610,plain,
% 1.14/1.31 ((~hskp15) | c2_1(a731)),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[609, 604])).
% 1.14/1.31 tff(611,plain,
% 1.14/1.31 (c2_1(a731)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[610, 590])).
% 1.14/1.31 tff(612,assumption,(c3_1(a739)), introduced(assumption)).
% 1.14/1.31 tff(613,assumption,(c2_1(a739)), introduced(assumption)).
% 1.14/1.31 tff(614,plain,
% 1.14/1.31 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | c1_1(a739) | c0_1(a731) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c3_1(a739)) | (~c2_1(a739)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp29 | c1_1(a739) | c0_1(a731) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(615,plain,
% 1.14/1.31 ((hskp29 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c3_1(a731) | c0_1(a731) | (~c2_1(a731))) <=> (hskp29 | c1_1(a739) | c0_1(a731) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(616,plain,
% 1.14/1.31 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c3_1(a731) | c0_1(a731) | (~c2_1(a731)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | c1_1(a739) | c0_1(a731) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c3_1(a739)) | (~c2_1(a739))))),
% 1.14/1.31 inference(monotonicity,[status(thm)],[615])).
% 1.14/1.31 tff(617,plain,
% 1.14/1.31 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c3_1(a731) | c0_1(a731) | (~c2_1(a731)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp29 | c1_1(a739) | c0_1(a731) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.14/1.31 inference(transitivity,[status(thm)],[616, 614])).
% 1.14/1.31 tff(618,plain,
% 1.14/1.31 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c3_1(a731) | c0_1(a731) | (~c2_1(a731)))),
% 1.14/1.31 inference(quant_inst,[status(thm)],[])).
% 1.14/1.31 tff(619,plain,
% 1.14/1.31 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp29 | c1_1(a739) | c0_1(a731) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c3_1(a739)) | (~c2_1(a739))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[618, 617])).
% 1.14/1.31 tff(620,plain,
% 1.14/1.31 ($false),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[619, 133, 48, 613, 612, 611, 603, 602, 596, 589])).
% 1.14/1.31 tff(621,plain,((~hskp15) | hskp29 | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739)), inference(lemma,lemma(discharge,[]))).
% 1.14/1.31 tff(622,plain,
% 1.14/1.31 (~hskp15),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[621, 579, 48, 571, 563])).
% 1.14/1.31 tff(623,assumption,(~c0_1(a739)), introduced(assumption)).
% 1.14/1.31 tff(624,plain,
% 1.14/1.31 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))))),
% 1.14/1.31 inference(bind,[status(th)],[])).
% 1.14/1.31 tff(625,plain,
% 1.14/1.31 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.14/1.31 inference(quant_intro,[status(thm)],[624])).
% 1.14/1.31 tff(626,plain,
% 1.14/1.31 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(627,plain,
% 1.14/1.31 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c2_1(W)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c2_1(W))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c2_1(W))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c2_1(W))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c2_1(W)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c2_1(W))))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c2_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c2_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(W)))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(W))))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | (~c2_1(W)))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | (~c2_1(W))))), ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | (~c2_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | (~c2_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c0_1(W) | (~c2_1(W)))), ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c0_1(W) | (~c2_1(W))))), (((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))), (((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))))),
% 1.14/1.31 inference(bind,[status(th)],[])).
% 1.14/1.31 tff(628,plain,
% 1.14/1.31 (![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.14/1.31 inference(quant_intro,[status(thm)],[627])).
% 1.14/1.31 tff(629,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | (~c2_1(W))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause202')).
% 1.14/1.31 tff(630,plain,
% 1.14/1.31 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[629, 628])).
% 1.14/1.31 tff(631,plain,
% 1.14/1.31 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[630, 626])).
% 1.14/1.31 tff(632,plain,(
% 1.14/1.31 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.14/1.31 inference(skolemize,[status(sab)],[631])).
% 1.14/1.31 tff(633,plain,
% 1.14/1.31 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[632, 625])).
% 1.14/1.31 tff(634,plain,
% 1.14/1.31 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(635,plain,
% 1.14/1.31 (((~ndr1_0) | c0_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c2_1(a739))) <=> (c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(636,plain,
% 1.14/1.31 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c2_1(a739)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739))))),
% 1.14/1.31 inference(monotonicity,[status(thm)],[635])).
% 1.14/1.31 tff(637,plain,
% 1.14/1.31 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c2_1(a739)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.14/1.31 inference(transitivity,[status(thm)],[636, 634])).
% 1.14/1.31 tff(638,plain,
% 1.14/1.31 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c2_1(a739)))),
% 1.14/1.31 inference(quant_inst,[status(thm)],[])).
% 1.14/1.31 tff(639,plain,
% 1.14/1.31 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739))),
% 1.14/1.31 inference(modus_ponens,[status(thm)],[638, 637])).
% 1.14/1.31 tff(640,plain,
% 1.14/1.31 ($false),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[639, 133, 613, 612, 603, 633, 623])).
% 1.14/1.31 tff(641,plain,(c0_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739)), inference(lemma,lemma(discharge,[]))).
% 1.14/1.31 tff(642,plain,
% 1.14/1.31 (c0_1(a739)),
% 1.14/1.31 inference(unit_resolution,[status(thm)],[641, 579, 571, 563])).
% 1.14/1.31 tff(643,plain,
% 1.14/1.31 (((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)))) <=> ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp29 | hskp5 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(644,plain,
% 1.14/1.31 ((hskp29 | hskp5 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739))) <=> (hskp29 | hskp5 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)))),
% 1.14/1.31 inference(rewrite,[status(thm)],[])).
% 1.14/1.31 tff(645,plain,
% 1.14/1.31 (((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)))) <=> ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739))))),
% 1.14/1.31 inference(monotonicity,[status(thm)],[644])).
% 1.14/1.31 tff(646,plain,
% 1.14/1.31 (((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)))) <=> ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp29 | hskp5 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)))),
% 1.14/1.32 inference(transitivity,[status(thm)],[645, 643])).
% 1.14/1.32 tff(647,plain,
% 1.14/1.32 ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp29 | hskp5 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(648,plain,
% 1.14/1.32 ((~![U: $i] : (hskp29 | hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp29 | hskp5 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739))),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[647, 646])).
% 1.14/1.32 tff(649,plain,
% 1.14/1.32 (hskp5 | (~c0_1(a739))),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[648, 133, 48, 571, 563, 378])).
% 1.14/1.32 tff(650,plain,
% 1.14/1.32 (hskp5),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[649, 642])).
% 1.14/1.32 tff(651,plain,
% 1.14/1.32 (^[U: $i] : refl((hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) <=> (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))))),
% 1.14/1.32 inference(bind,[status(th)],[])).
% 1.14/1.32 tff(652,plain,
% 1.14/1.32 (![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.14/1.32 inference(quant_intro,[status(thm)],[651])).
% 1.14/1.32 tff(653,plain,
% 1.14/1.32 (![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(654,plain,
% 1.14/1.32 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp15) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) | hskp15))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) | hskp15) <=> (hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp15) <=> (hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp15) | hskp17) <=> ((hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) | hskp17))), rewrite(((hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) | hskp17) <=> (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp15) | hskp17) <=> (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))))),
% 1.14/1.32 inference(bind,[status(th)],[])).
% 1.14/1.32 tff(655,plain,
% 1.14/1.32 (![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp15) | hskp17) <=> ![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.14/1.32 inference(quant_intro,[status(thm)],[654])).
% 1.14/1.32 tff(656,axiom,(![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp15) | hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause150')).
% 1.14/1.32 tff(657,plain,
% 1.14/1.32 (![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[656, 655])).
% 1.14/1.32 tff(658,plain,
% 1.14/1.32 (![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[657, 653])).
% 1.14/1.32 tff(659,plain,(
% 1.14/1.32 ![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.14/1.32 inference(skolemize,[status(sab)],[658])).
% 1.14/1.32 tff(660,plain,
% 1.14/1.32 (![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[659, 652])).
% 1.14/1.32 tff(661,assumption,(hskp5), introduced(assumption)).
% 1.14/1.32 tff(662,plain,
% 1.14/1.32 (~c3_1(a713)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[391, 661])).
% 1.14/1.32 tff(663,plain,
% 1.14/1.32 (~c0_1(a713)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[403, 661])).
% 1.14/1.32 tff(664,assumption,(~hskp15), introduced(assumption)).
% 1.14/1.32 tff(665,plain,
% 1.14/1.32 (((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | c0_1(a713) | c3_1(a713) | (~ndr1_0) | (~c1_1(a713)))) <=> ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | hskp17 | hskp15 | c0_1(a713) | c3_1(a713) | (~ndr1_0) | (~c1_1(a713)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(666,plain,
% 1.14/1.32 ((hskp17 | hskp15 | (~ndr1_0) | c0_1(a713) | c3_1(a713) | (~c1_1(a713))) <=> (hskp17 | hskp15 | c0_1(a713) | c3_1(a713) | (~ndr1_0) | (~c1_1(a713)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(667,plain,
% 1.14/1.32 (((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | (~ndr1_0) | c0_1(a713) | c3_1(a713) | (~c1_1(a713)))) <=> ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | c0_1(a713) | c3_1(a713) | (~ndr1_0) | (~c1_1(a713))))),
% 1.14/1.32 inference(monotonicity,[status(thm)],[666])).
% 1.14/1.32 tff(668,plain,
% 1.14/1.32 (((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | (~ndr1_0) | c0_1(a713) | c3_1(a713) | (~c1_1(a713)))) <=> ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | hskp17 | hskp15 | c0_1(a713) | c3_1(a713) | (~ndr1_0) | (~c1_1(a713)))),
% 1.14/1.32 inference(transitivity,[status(thm)],[667, 665])).
% 1.14/1.32 tff(669,plain,
% 1.14/1.32 ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | (~ndr1_0) | c0_1(a713) | c3_1(a713) | (~c1_1(a713)))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(670,plain,
% 1.14/1.32 ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | hskp17 | hskp15 | c0_1(a713) | c3_1(a713) | (~ndr1_0) | (~c1_1(a713))),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[669, 668])).
% 1.14/1.32 tff(671,plain,
% 1.14/1.32 (~c1_1(a713)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[670, 133, 47, 664, 663, 662, 660])).
% 1.14/1.32 tff(672,plain,
% 1.14/1.32 (~c2_1(a713)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[397, 661])).
% 1.14/1.32 tff(673,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c1_1(a713))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c1_1(a713))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(674,plain,
% 1.14/1.32 ((hskp29 | (~ndr1_0) | c2_1(a713) | c0_1(a713) | c3_1(a713) | c3_1(a713) | c1_1(a713) | c0_1(a713)) <=> (hskp29 | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c1_1(a713))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(675,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a713) | c0_1(a713) | c3_1(a713) | c3_1(a713) | c1_1(a713) | c0_1(a713))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c1_1(a713)))),
% 1.14/1.32 inference(monotonicity,[status(thm)],[674])).
% 1.14/1.32 tff(676,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a713) | c0_1(a713) | c3_1(a713) | c3_1(a713) | c1_1(a713) | c0_1(a713))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c1_1(a713))),
% 1.14/1.32 inference(transitivity,[status(thm)],[675, 673])).
% 1.14/1.32 tff(677,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a713) | c0_1(a713) | c3_1(a713) | c3_1(a713) | c1_1(a713) | c0_1(a713))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(678,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c1_1(a713)),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[677, 676])).
% 1.14/1.32 tff(679,plain,
% 1.14/1.32 ($false),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[678, 133, 48, 663, 672, 662, 300, 671])).
% 1.14/1.32 tff(680,plain,((~hskp5) | hskp29 | hskp17 | hskp15), inference(lemma,lemma(discharge,[]))).
% 1.14/1.32 tff(681,plain,
% 1.14/1.32 (hskp17),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[680, 650, 48, 622])).
% 1.14/1.32 tff(682,plain,
% 1.14/1.32 (~c0_1(a734)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[214, 681])).
% 1.14/1.32 tff(683,plain,
% 1.14/1.32 (~c1_1(a734)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[220, 681])).
% 1.14/1.32 tff(684,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | c1_1(a739) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp29 | c1_1(a739) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(685,plain,
% 1.14/1.32 ((hskp29 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734))) <=> (hskp29 | c1_1(a739) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(686,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | c1_1(a739) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739))))),
% 1.14/1.32 inference(monotonicity,[status(thm)],[685])).
% 1.14/1.32 tff(687,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp29 | c1_1(a739) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.14/1.32 inference(transitivity,[status(thm)],[686, 684])).
% 1.14/1.32 tff(688,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp29 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(689,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp29 | c1_1(a739) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739))),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[688, 687])).
% 1.14/1.32 tff(690,plain,
% 1.14/1.32 (~c2_1(a734)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[689, 133, 48, 613, 612, 603, 46, 311, 589])).
% 1.14/1.32 tff(691,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(692,plain,
% 1.14/1.32 ((hskp29 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | c3_1(a734) | c3_1(a734) | c1_1(a734) | c0_1(a734)) <=> (hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(693,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | c3_1(a734) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734)))),
% 1.14/1.32 inference(monotonicity,[status(thm)],[692])).
% 1.14/1.32 tff(694,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | c3_1(a734) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734))),
% 1.14/1.32 inference(transitivity,[status(thm)],[693, 691])).
% 1.14/1.32 tff(695,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | c3_1(a734) | c3_1(a734) | c1_1(a734) | c0_1(a734))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(696,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734)),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[695, 694])).
% 1.14/1.32 tff(697,plain,
% 1.14/1.32 ($false),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[696, 133, 48, 46, 45, 311, 300, 690])).
% 1.14/1.32 tff(698,plain,(c3_1(a734) | hskp29 | c0_1(a734) | c1_1(a734) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739)), inference(lemma,lemma(discharge,[]))).
% 1.14/1.32 tff(699,plain,
% 1.14/1.32 (c3_1(a734)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[698, 45, 46, 48, 579, 571, 563])).
% 1.14/1.32 tff(700,plain,
% 1.14/1.32 (hskp7),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[499, 699, 45])).
% 1.14/1.32 tff(701,plain,
% 1.14/1.32 (~c3_1(a717)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[505, 700])).
% 1.14/1.32 tff(702,plain,
% 1.14/1.32 (~c2_1(a717)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[545, 700])).
% 1.14/1.32 tff(703,plain,
% 1.14/1.32 (c0_1(a717)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[522, 700])).
% 1.14/1.32 tff(704,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp29 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(705,plain,
% 1.14/1.32 ((hskp29 | (~ndr1_0) | c2_1(a717) | c3_1(a717) | (~c0_1(a717)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734))) <=> (hskp29 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(706,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | (~ndr1_0) | c2_1(a717) | c3_1(a717) | (~c0_1(a717)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717))))),
% 1.14/1.32 inference(monotonicity,[status(thm)],[705])).
% 1.14/1.32 tff(707,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | (~ndr1_0) | c2_1(a717) | c3_1(a717) | (~c0_1(a717)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp29 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)))),
% 1.14/1.32 inference(transitivity,[status(thm)],[706, 704])).
% 1.14/1.32 tff(708,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp29 | (~ndr1_0) | c2_1(a717) | c3_1(a717) | (~c0_1(a717)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(709,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp29 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717))),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[708, 707])).
% 1.14/1.32 tff(710,plain,
% 1.14/1.32 ($false),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[709, 133, 48, 703, 46, 45, 699, 702, 701, 350])).
% 1.14/1.32 tff(711,plain,(c1_1(a734) | hskp29 | c0_1(a734) | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.14/1.32 tff(712,plain,
% 1.14/1.32 ($false),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[711, 683, 682, 48, 83])).
% 1.14/1.32 tff(713,plain,(hskp8 | hskp29), inference(lemma,lemma(discharge,[]))).
% 1.14/1.32 tff(714,plain,
% 1.14/1.32 (hskp8),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[713, 48])).
% 1.14/1.32 tff(715,plain,
% 1.14/1.32 (~c0_1(a718)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[32, 714])).
% 1.14/1.32 tff(716,plain,
% 1.14/1.32 (((~hskp8) | c1_1(a718)) <=> ((~hskp8) | c1_1(a718))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(717,axiom,((~hskp8) | c1_1(a718)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause86')).
% 1.14/1.32 tff(718,plain,
% 1.14/1.32 ((~hskp8) | c1_1(a718)),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[717, 716])).
% 1.14/1.32 tff(719,plain,
% 1.14/1.32 ((~hskp8) | c1_1(a718)),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[718, 716])).
% 1.14/1.32 tff(720,plain,
% 1.14/1.32 ((~hskp8) | c1_1(a718)),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[719, 716])).
% 1.14/1.32 tff(721,plain,
% 1.14/1.32 ((~hskp8) | c1_1(a718)),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[720, 716])).
% 1.14/1.32 tff(722,plain,
% 1.14/1.32 ((~hskp8) | c1_1(a718)),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[721, 716])).
% 1.14/1.32 tff(723,plain,
% 1.14/1.32 (c1_1(a718)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[722, 714])).
% 1.14/1.32 tff(724,plain,
% 1.14/1.32 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(725,plain,
% 1.14/1.32 ((hskp18 | hskp17 | (~ndr1_0) | c0_1(a718) | (~c3_1(a718)) | (~c1_1(a718))) <=> (hskp18 | hskp17 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(726,plain,
% 1.14/1.32 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a718) | (~c3_1(a718)) | (~c1_1(a718)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718))))),
% 1.14/1.32 inference(monotonicity,[status(thm)],[725])).
% 1.14/1.32 tff(727,plain,
% 1.14/1.32 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a718) | (~c3_1(a718)) | (~c1_1(a718)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)))),
% 1.14/1.32 inference(transitivity,[status(thm)],[726, 724])).
% 1.14/1.32 tff(728,plain,
% 1.14/1.32 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a718) | (~c3_1(a718)) | (~c1_1(a718)))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(729,plain,
% 1.14/1.32 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718))),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[728, 727])).
% 1.14/1.32 tff(730,plain,
% 1.14/1.32 (hskp18 | hskp17 | (~c3_1(a718))),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[729, 133, 723, 715, 44])).
% 1.14/1.32 tff(731,plain,
% 1.14/1.32 (~c3_1(a718)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[730, 34, 47])).
% 1.14/1.32 tff(732,plain,
% 1.14/1.32 (((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718))) <=> ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | hskp17 | hskp15 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(733,plain,
% 1.14/1.32 ((hskp17 | hskp15 | (~ndr1_0) | c0_1(a718) | c3_1(a718) | (~c1_1(a718))) <=> (hskp17 | hskp15 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(734,plain,
% 1.14/1.32 (((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | (~ndr1_0) | c0_1(a718) | c3_1(a718) | (~c1_1(a718)))) <=> ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718)))),
% 1.14/1.32 inference(monotonicity,[status(thm)],[733])).
% 1.14/1.32 tff(735,plain,
% 1.14/1.32 (((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | (~ndr1_0) | c0_1(a718) | c3_1(a718) | (~c1_1(a718)))) <=> ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | hskp17 | hskp15 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718))),
% 1.14/1.32 inference(transitivity,[status(thm)],[734, 732])).
% 1.14/1.32 tff(736,plain,
% 1.14/1.32 ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp17 | hskp15 | (~ndr1_0) | c0_1(a718) | c3_1(a718) | (~c1_1(a718)))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(737,plain,
% 1.14/1.32 ((~![U: $i] : (hskp17 | hskp15 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | hskp17 | hskp15 | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718)),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[736, 735])).
% 1.14/1.32 tff(738,plain,
% 1.14/1.32 (hskp17 | hskp15 | c3_1(a718)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[737, 133, 723, 715, 660])).
% 1.14/1.32 tff(739,plain,
% 1.14/1.32 (hskp15),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[738, 731, 47])).
% 1.14/1.32 tff(740,plain,
% 1.14/1.32 (~c3_1(a731)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[595, 739])).
% 1.14/1.32 tff(741,plain,
% 1.14/1.32 (c2_1(a731)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[610, 739])).
% 1.14/1.32 tff(742,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a731) | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)) | (~c2_1(a731)) | (~c1_1(a731)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a731) | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)) | (~c2_1(a731)) | (~c1_1(a731)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(743,plain,
% 1.14/1.32 (((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a720) | c2_1(a720) | (~c3_1(a720))) <=> (c3_1(a731) | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)) | (~c2_1(a731)) | (~c1_1(a731)))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(744,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a720) | c2_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a731) | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)) | (~c2_1(a731)) | (~c1_1(a731))))),
% 1.14/1.32 inference(monotonicity,[status(thm)],[743])).
% 1.14/1.32 tff(745,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a720) | c2_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a731) | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)) | (~c2_1(a731)) | (~c1_1(a731)))),
% 1.14/1.32 inference(transitivity,[status(thm)],[744, 742])).
% 1.14/1.32 tff(746,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a720) | c2_1(a720) | (~c3_1(a720)))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(747,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a731) | c1_1(a720) | c2_1(a720) | (~ndr1_0) | (~c3_1(a720)) | (~c2_1(a731)) | (~c1_1(a731))),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[746, 745])).
% 1.14/1.32 tff(748,plain,
% 1.14/1.32 (~c1_1(a731)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[747, 133, 741, 91, 740, 82, 76, 58])).
% 1.14/1.32 tff(749,plain,
% 1.14/1.32 (~c2_1(a718)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[26, 714])).
% 1.14/1.32 tff(750,plain,
% 1.14/1.32 (~c0_1(a731)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[601, 739])).
% 1.14/1.32 tff(751,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a731) | c3_1(a731) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c1_1(a731))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a731) | c3_1(a731) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c1_1(a731))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(752,plain,
% 1.14/1.32 ((hskp29 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | c3_1(a718) | c3_1(a731) | c1_1(a731) | c0_1(a731)) <=> (hskp29 | c0_1(a731) | c3_1(a731) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c1_1(a731))),
% 1.14/1.32 inference(rewrite,[status(thm)],[])).
% 1.14/1.32 tff(753,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | c3_1(a718) | c3_1(a731) | c1_1(a731) | c0_1(a731))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a731) | c3_1(a731) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c1_1(a731)))),
% 1.14/1.32 inference(monotonicity,[status(thm)],[752])).
% 1.14/1.32 tff(754,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | c3_1(a718) | c3_1(a731) | c1_1(a731) | c0_1(a731))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a731) | c3_1(a731) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c1_1(a731))),
% 1.14/1.32 inference(transitivity,[status(thm)],[753, 751])).
% 1.14/1.32 tff(755,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | c3_1(a718) | c3_1(a731) | c1_1(a731) | c0_1(a731))),
% 1.14/1.32 inference(quant_inst,[status(thm)],[])).
% 1.14/1.32 tff(756,plain,
% 1.14/1.32 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a731) | c3_1(a731) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c1_1(a731)),
% 1.14/1.32 inference(modus_ponens,[status(thm)],[755, 754])).
% 1.14/1.32 tff(757,plain,
% 1.14/1.32 ($false),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[756, 133, 48, 750, 740, 715, 749, 300, 731, 748])).
% 1.14/1.32 tff(758,plain,(hskp18 | hskp29 | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.14/1.32 tff(759,plain,
% 1.14/1.32 (hskp18),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[758, 47, 48])).
% 1.14/1.32 tff(760,plain,
% 1.14/1.32 (c2_1(a739)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[578, 759])).
% 1.14/1.32 tff(761,plain,
% 1.14/1.32 (~c1_1(a739)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[562, 759])).
% 1.14/1.32 tff(762,plain,
% 1.14/1.32 (c3_1(a739)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[570, 759])).
% 1.14/1.32 tff(763,plain,
% 1.14/1.32 (c0_1(a739)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[641, 762, 761, 760])).
% 1.14/1.32 tff(764,plain,
% 1.14/1.32 (~hskp15),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[621, 762, 48, 760, 761])).
% 1.14/1.32 tff(765,plain,
% 1.14/1.32 (~hskp5),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[680, 764, 48, 47])).
% 1.14/1.32 tff(766,plain,
% 1.14/1.32 ($false),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[648, 133, 48, 765, 762, 761, 378, 763])).
% 1.14/1.32 tff(767,plain,(hskp17 | hskp29), inference(lemma,lemma(discharge,[]))).
% 1.14/1.32 tff(768,plain,
% 1.14/1.32 (hskp17),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[767, 48])).
% 1.14/1.32 tff(769,plain,
% 1.14/1.32 (~c0_1(a734)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[214, 768])).
% 1.14/1.32 tff(770,plain,
% 1.14/1.32 (~c1_1(a734)),
% 1.14/1.32 inference(unit_resolution,[status(thm)],[220, 768])).
% 1.14/1.32 tff(771,plain,
% 1.14/1.32 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(772,plain,
% 1.14/1.33 ((hskp29 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | c3_1(a718) | c3_1(a734) | c1_1(a734) | c0_1(a734)) <=> (hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(773,plain,
% 1.14/1.33 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | c3_1(a718) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718)))),
% 1.14/1.33 inference(monotonicity,[status(thm)],[772])).
% 1.14/1.33 tff(774,plain,
% 1.14/1.33 (((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | c3_1(a718) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718))),
% 1.14/1.33 inference(transitivity,[status(thm)],[773, 771])).
% 1.14/1.33 tff(775,plain,
% 1.14/1.33 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp29 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | c3_1(a718) | c3_1(a734) | c1_1(a734) | c0_1(a734))),
% 1.14/1.33 inference(quant_inst,[status(thm)],[])).
% 1.14/1.33 tff(776,plain,
% 1.14/1.33 ((~![V: $i, U: $i] : (hskp29 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp29 | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[775, 774])).
% 1.14/1.33 tff(777,plain,
% 1.14/1.33 (c3_1(a718)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[776, 133, 48, 46, 45, 311, 715, 749, 300])).
% 1.14/1.33 tff(778,plain,
% 1.14/1.33 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W))) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W))))),
% 1.14/1.33 inference(bind,[status(th)],[])).
% 1.14/1.33 tff(779,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.14/1.33 inference(quant_intro,[status(thm)],[778])).
% 1.14/1.33 tff(780,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(781,plain,
% 1.14/1.33 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c3_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c3_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(V)))), ((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(V))))), (((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(V))) | (~c1_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W)))), (((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W))))), ((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W)))), ((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W))))), (((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W)))), (((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W))))), ((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)) | (~c1_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | (~c0_1(V)) | (~c1_1(W)))), ((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | (~c0_1(V)) | (~c1_1(W))))), (((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | (~c0_1(V)) | (~c1_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | (~c0_1(V)) | (~c1_1(W))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | (~c1_1(W)))), (((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | (~c1_1(W))))), ((((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | (~c1_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | (~c1_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c1_1(W)))), ((((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c1_1(W))))), (((((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c1_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c1_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))), (((((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))))),
% 1.14/1.33 inference(bind,[status(th)],[])).
% 1.14/1.33 tff(782,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.14/1.33 inference(quant_intro,[status(thm)],[781])).
% 1.14/1.33 tff(783,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause200')).
% 1.14/1.33 tff(784,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[783, 782])).
% 1.14/1.33 tff(785,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[784, 780])).
% 1.14/1.33 tff(786,plain,(
% 1.14/1.33 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.14/1.33 inference(skolemize,[status(sab)],[785])).
% 1.14/1.33 tff(787,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[786, 779])).
% 1.14/1.33 tff(788,plain,
% 1.14/1.33 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a720) | c2_1(a720) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c0_1(a720)) | (~c3_1(a720)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a720) | c2_1(a720) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c0_1(a720)) | (~c3_1(a720)))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(789,plain,
% 1.14/1.33 (((~ndr1_0) | c2_1(a720) | c1_1(a720) | (~c3_1(a720)) | c1_1(a720) | c2_1(a720) | (~c0_1(a720)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718))) <=> (c1_1(a720) | c2_1(a720) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c0_1(a720)) | (~c3_1(a720)))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(790,plain,
% 1.14/1.33 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c2_1(a720) | c1_1(a720) | (~c3_1(a720)) | c1_1(a720) | c2_1(a720) | (~c0_1(a720)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a720) | c2_1(a720) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c0_1(a720)) | (~c3_1(a720))))),
% 1.14/1.33 inference(monotonicity,[status(thm)],[789])).
% 1.14/1.33 tff(791,plain,
% 1.14/1.33 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c2_1(a720) | c1_1(a720) | (~c3_1(a720)) | c1_1(a720) | c2_1(a720) | (~c0_1(a720)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a720) | c2_1(a720) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c0_1(a720)) | (~c3_1(a720)))),
% 1.14/1.33 inference(transitivity,[status(thm)],[790, 788])).
% 1.14/1.33 tff(792,plain,
% 1.14/1.33 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c2_1(a720) | c1_1(a720) | (~c3_1(a720)) | c1_1(a720) | c2_1(a720) | (~c0_1(a720)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))),
% 1.14/1.33 inference(quant_inst,[status(thm)],[])).
% 1.14/1.33 tff(793,plain,
% 1.14/1.33 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a720) | c2_1(a720) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c0_1(a720)) | (~c3_1(a720))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[792, 791])).
% 1.14/1.33 tff(794,plain,
% 1.14/1.33 (~c0_1(a720)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[793, 133, 91, 723, 82, 76, 715, 749, 787])).
% 1.14/1.33 tff(795,plain,
% 1.14/1.33 (^[V: $i, U: $i] : refl((hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))),
% 1.14/1.33 inference(bind,[status(th)],[])).
% 1.14/1.33 tff(796,plain,
% 1.14/1.33 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.14/1.33 inference(quant_intro,[status(thm)],[795])).
% 1.14/1.33 tff(797,plain,
% 1.14/1.33 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(798,plain,
% 1.14/1.33 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c1_1(V)) | hskp6) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp6))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp6) <=> (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c1_1(V)) | hskp6) <=> (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))))),
% 1.14/1.33 inference(bind,[status(th)],[])).
% 1.14/1.33 tff(799,plain,
% 1.14/1.33 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c1_1(V)) | hskp6) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.14/1.33 inference(quant_intro,[status(thm)],[798])).
% 1.14/1.33 tff(800,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c1_1(V)) | hskp6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause181')).
% 1.14/1.33 tff(801,plain,
% 1.14/1.33 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[800, 799])).
% 1.14/1.33 tff(802,plain,
% 1.14/1.33 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[801, 797])).
% 1.14/1.33 tff(803,plain,(
% 1.14/1.33 ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.14/1.33 inference(skolemize,[status(sab)],[802])).
% 1.14/1.33 tff(804,plain,
% 1.14/1.33 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[803, 796])).
% 1.14/1.33 tff(805,plain,
% 1.14/1.33 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c1_1(a720) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)) | c0_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c1_1(a720) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)) | c0_1(a720) | (~c3_1(a720)))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(806,plain,
% 1.14/1.33 ((hskp6 | (~ndr1_0) | c2_1(a718) | (~c3_1(a718)) | (~c1_1(a718)) | c1_1(a720) | c0_1(a720) | (~c3_1(a720))) <=> (hskp6 | c1_1(a720) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)) | c0_1(a720) | (~c3_1(a720)))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(807,plain,
% 1.14/1.33 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a718) | (~c3_1(a718)) | (~c1_1(a718)) | c1_1(a720) | c0_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c1_1(a720) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)) | c0_1(a720) | (~c3_1(a720))))),
% 1.14/1.33 inference(monotonicity,[status(thm)],[806])).
% 1.14/1.33 tff(808,plain,
% 1.14/1.33 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a718) | (~c3_1(a718)) | (~c1_1(a718)) | c1_1(a720) | c0_1(a720) | (~c3_1(a720)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c1_1(a720) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)) | c0_1(a720) | (~c3_1(a720)))),
% 1.14/1.33 inference(transitivity,[status(thm)],[807, 805])).
% 1.14/1.33 tff(809,plain,
% 1.14/1.33 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a718) | (~c3_1(a718)) | (~c1_1(a718)) | c1_1(a720) | c0_1(a720) | (~c3_1(a720)))),
% 1.14/1.33 inference(quant_inst,[status(thm)],[])).
% 1.14/1.33 tff(810,plain,
% 1.14/1.33 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c1_1(a720) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a718)) | c0_1(a720) | (~c3_1(a720))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[809, 808])).
% 1.14/1.33 tff(811,plain,
% 1.14/1.33 (hskp6 | (~c3_1(a718))),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[810, 133, 91, 723, 82, 749, 804, 794])).
% 1.14/1.33 tff(812,plain,
% 1.14/1.33 (hskp6),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[811, 777])).
% 1.14/1.33 tff(813,plain,
% 1.14/1.33 (~c3_1(a716)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[235, 812])).
% 1.14/1.33 tff(814,plain,
% 1.14/1.33 (c2_1(a716)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[243, 812])).
% 1.14/1.33 tff(815,plain,
% 1.14/1.33 (~c1_1(a716)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[250, 133, 91, 814, 82, 76, 813, 58])).
% 1.14/1.33 tff(816,plain,
% 1.14/1.33 (hskp24),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[267, 133, 34, 814, 813, 261, 815])).
% 1.14/1.33 tff(817,plain,
% 1.14/1.33 (~c2_1(a762)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[273, 816])).
% 1.14/1.33 tff(818,plain,
% 1.14/1.33 (c0_1(a762)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[289, 816])).
% 1.14/1.33 tff(819,plain,
% 1.14/1.33 (c3_1(a762)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[281, 816])).
% 1.14/1.33 tff(820,plain,
% 1.14/1.33 ($false),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[460, 819, 818, 45, 46, 48, 34, 311, 817])).
% 1.14/1.33 tff(821,plain,(c3_1(a734) | c1_1(a734) | c0_1(a734) | hskp29 | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.14/1.33 tff(822,plain,
% 1.14/1.33 (c3_1(a734)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[821, 34, 46, 48, 45])).
% 1.14/1.33 tff(823,plain,
% 1.14/1.33 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(824,plain,
% 1.14/1.33 (((~ndr1_0) | c0_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734))) <=> (c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(825,plain,
% 1.14/1.33 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734))))),
% 1.14/1.33 inference(monotonicity,[status(thm)],[824])).
% 1.14/1.33 tff(826,plain,
% 1.14/1.33 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)))),
% 1.14/1.33 inference(transitivity,[status(thm)],[825, 823])).
% 1.14/1.33 tff(827,plain,
% 1.14/1.33 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))),
% 1.14/1.33 inference(quant_inst,[status(thm)],[])).
% 1.14/1.33 tff(828,plain,
% 1.14/1.33 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[827, 826])).
% 1.14/1.33 tff(829,plain,
% 1.14/1.33 ((~c3_1(a734)) | (~c2_1(a734))),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[828, 133, 46, 45, 633])).
% 1.14/1.33 tff(830,plain,
% 1.14/1.33 (~c2_1(a734)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[829, 822])).
% 1.14/1.33 tff(831,plain,
% 1.14/1.33 (~hskp17),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[466, 822])).
% 1.14/1.33 tff(832,plain,
% 1.14/1.33 (~c3_1(a718)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[730, 831, 34])).
% 1.14/1.33 tff(833,plain,
% 1.14/1.33 (hskp15),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[738, 831, 832])).
% 1.14/1.33 tff(834,plain,
% 1.14/1.33 (~c3_1(a731)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[595, 833])).
% 1.14/1.33 tff(835,plain,
% 1.14/1.33 (c2_1(a731)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[610, 833])).
% 1.14/1.33 tff(836,plain,
% 1.14/1.33 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c1_1(a734) | (~c3_1(a734)) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c1_1(a731)) | c2_1(a734))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a734) | (~c3_1(a734)) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c1_1(a731)) | c2_1(a734))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(837,plain,
% 1.14/1.33 (((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a734) | c2_1(a734) | (~c3_1(a734))) <=> (c1_1(a734) | (~c3_1(a734)) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c1_1(a731)) | c2_1(a734))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(838,plain,
% 1.14/1.33 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a734) | c2_1(a734) | (~c3_1(a734)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c1_1(a734) | (~c3_1(a734)) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c1_1(a731)) | c2_1(a734)))),
% 1.14/1.33 inference(monotonicity,[status(thm)],[837])).
% 1.14/1.33 tff(839,plain,
% 1.14/1.33 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a734) | c2_1(a734) | (~c3_1(a734)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a734) | (~c3_1(a734)) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c1_1(a731)) | c2_1(a734))),
% 1.14/1.33 inference(transitivity,[status(thm)],[838, 836])).
% 1.14/1.33 tff(840,plain,
% 1.14/1.33 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a734) | c2_1(a734) | (~c3_1(a734)))),
% 1.14/1.33 inference(quant_inst,[status(thm)],[])).
% 1.14/1.33 tff(841,plain,
% 1.14/1.33 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a734) | (~c3_1(a734)) | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | (~c1_1(a731)) | c2_1(a734)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[840, 839])).
% 1.14/1.33 tff(842,plain,
% 1.14/1.33 (~c1_1(a731)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[841, 133, 835, 45, 822, 834, 58, 830])).
% 1.14/1.33 tff(843,plain,
% 1.14/1.33 (~c0_1(a731)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[601, 833])).
% 1.14/1.33 tff(844,plain,
% 1.14/1.33 ($false),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[756, 133, 48, 843, 834, 715, 749, 300, 832, 842])).
% 1.14/1.33 tff(845,plain,(hskp18 | hskp29 | c1_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.14/1.33 tff(846,plain,
% 1.14/1.33 (hskp18),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[845, 46, 45, 48])).
% 1.14/1.33 tff(847,plain,
% 1.14/1.33 (c2_1(a739)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[578, 846])).
% 1.14/1.33 tff(848,plain,
% 1.14/1.33 (~c1_1(a739)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[562, 846])).
% 1.14/1.33 tff(849,plain,
% 1.14/1.33 (c3_1(a739)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[570, 846])).
% 1.14/1.33 tff(850,plain,
% 1.14/1.33 (c0_1(a739)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[641, 849, 848, 847])).
% 1.14/1.33 tff(851,plain,
% 1.14/1.33 (c3_1(a734)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[698, 849, 45, 48, 46, 847, 848])).
% 1.14/1.33 tff(852,plain,
% 1.14/1.33 (~hskp17),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[466, 851])).
% 1.14/1.33 tff(853,plain,
% 1.14/1.33 (~hskp15),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[621, 849, 48, 847, 848])).
% 1.14/1.33 tff(854,plain,
% 1.14/1.33 (~hskp5),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[680, 853, 48, 852])).
% 1.14/1.33 tff(855,plain,
% 1.14/1.33 ($false),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[648, 133, 48, 854, 849, 848, 378, 850])).
% 1.14/1.33 tff(856,plain,(c0_1(a734) | hskp29 | c1_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.14/1.33 tff(857,plain,
% 1.14/1.33 ($false),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[856, 770, 769, 48])).
% 1.14/1.33 tff(858,plain,(hskp29), inference(lemma,lemma(discharge,[]))).
% 1.14/1.33 tff(859,plain,
% 1.14/1.33 (((~hskp29) | c3_1(a709)) <=> ((~hskp29) | c3_1(a709))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(860,axiom,((~hskp29) | c3_1(a709)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause53')).
% 1.14/1.33 tff(861,plain,
% 1.14/1.33 ((~hskp29) | c3_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[860, 859])).
% 1.14/1.33 tff(862,plain,
% 1.14/1.33 ((~hskp29) | c3_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[861, 859])).
% 1.14/1.33 tff(863,plain,
% 1.14/1.33 ((~hskp29) | c3_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[862, 859])).
% 1.14/1.33 tff(864,plain,
% 1.14/1.33 ((~hskp29) | c3_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[863, 859])).
% 1.14/1.33 tff(865,plain,
% 1.14/1.33 ((~hskp29) | c3_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[864, 859])).
% 1.14/1.33 tff(866,plain,
% 1.14/1.33 (c3_1(a709)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[865, 858])).
% 1.14/1.33 tff(867,plain,
% 1.14/1.33 (((~hskp29) | c1_1(a709)) <=> ((~hskp29) | c1_1(a709))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(868,axiom,((~hskp29) | c1_1(a709)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause51')).
% 1.14/1.33 tff(869,plain,
% 1.14/1.33 ((~hskp29) | c1_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[868, 867])).
% 1.14/1.33 tff(870,plain,
% 1.14/1.33 ((~hskp29) | c1_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[869, 867])).
% 1.14/1.33 tff(871,plain,
% 1.14/1.33 ((~hskp29) | c1_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[870, 867])).
% 1.14/1.33 tff(872,plain,
% 1.14/1.33 ((~hskp29) | c1_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[871, 867])).
% 1.14/1.33 tff(873,plain,
% 1.14/1.33 ((~hskp29) | c1_1(a709)),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[872, 867])).
% 1.14/1.33 tff(874,plain,
% 1.14/1.33 (c1_1(a709)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[873, 858])).
% 1.14/1.33 tff(875,plain,
% 1.14/1.33 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | (~ndr1_0) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(876,plain,
% 1.14/1.33 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.14/1.33 inference(quant_inst,[status(thm)],[])).
% 1.14/1.33 tff(877,plain,
% 1.14/1.33 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | (~ndr1_0) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[876, 875])).
% 1.14/1.33 tff(878,plain,
% 1.14/1.33 (hskp18 | hskp17 | c0_1(a709)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[877, 133, 874, 866, 44])).
% 1.14/1.33 tff(879,plain,
% 1.14/1.33 (c0_1(a709)),
% 1.14/1.33 inference(unit_resolution,[status(thm)],[878, 47, 34])).
% 1.14/1.33 tff(880,plain,
% 1.14/1.33 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)))),
% 1.14/1.33 inference(bind,[status(th)],[])).
% 1.14/1.33 tff(881,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.33 inference(quant_intro,[status(thm)],[880])).
% 1.14/1.33 tff(882,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.33 inference(rewrite,[status(thm)],[])).
% 1.14/1.33 tff(883,plain,
% 1.14/1.33 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))))),
% 1.14/1.33 inference(bind,[status(th)],[])).
% 1.14/1.33 tff(884,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.33 inference(quant_intro,[status(thm)],[883])).
% 1.14/1.33 tff(885,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c1_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause201')).
% 1.14/1.33 tff(886,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[885, 884])).
% 1.14/1.33 tff(887,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.33 inference(modus_ponens,[status(thm)],[886, 882])).
% 1.14/1.33 tff(888,plain,(
% 1.14/1.33 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.33 inference(skolemize,[status(sab)],[887])).
% 1.14/1.33 tff(889,plain,
% 1.14/1.33 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[888, 881])).
% 1.14/1.34 tff(890,plain,
% 1.14/1.34 (((~hskp29) | c2_1(a709)) <=> ((~hskp29) | c2_1(a709))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(891,axiom,((~hskp29) | c2_1(a709)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause52')).
% 1.14/1.34 tff(892,plain,
% 1.14/1.34 ((~hskp29) | c2_1(a709)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[891, 890])).
% 1.14/1.34 tff(893,plain,
% 1.14/1.34 ((~hskp29) | c2_1(a709)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[892, 890])).
% 1.14/1.34 tff(894,plain,
% 1.14/1.34 ((~hskp29) | c2_1(a709)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[893, 890])).
% 1.14/1.34 tff(895,plain,
% 1.14/1.34 ((~hskp29) | c2_1(a709)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[894, 890])).
% 1.14/1.34 tff(896,plain,
% 1.14/1.34 ((~hskp29) | c2_1(a709)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[895, 890])).
% 1.14/1.34 tff(897,plain,
% 1.14/1.34 (c2_1(a709)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[896, 858])).
% 1.14/1.34 tff(898,plain,
% 1.14/1.34 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(899,plain,
% 1.14/1.34 (((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)) | c3_1(a734) | c1_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(900,plain,
% 1.14/1.34 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))))),
% 1.14/1.34 inference(monotonicity,[status(thm)],[899])).
% 1.14/1.34 tff(901,plain,
% 1.14/1.34 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.14/1.34 inference(transitivity,[status(thm)],[900, 898])).
% 1.14/1.34 tff(902,plain,
% 1.14/1.34 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)) | c3_1(a734) | c1_1(a734) | c0_1(a734))),
% 1.14/1.34 inference(quant_inst,[status(thm)],[])).
% 1.14/1.34 tff(903,plain,
% 1.14/1.34 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[902, 901])).
% 1.14/1.34 tff(904,plain,
% 1.14/1.34 (~c2_1(a734)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[903, 133, 897, 866, 46, 45, 311, 889, 879])).
% 1.14/1.34 tff(905,plain,
% 1.14/1.34 (hskp6),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[229, 83, 34])).
% 1.14/1.34 tff(906,plain,
% 1.14/1.34 (~c3_1(a716)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[235, 905])).
% 1.14/1.34 tff(907,assumption,(~c2_1(a734)), introduced(assumption)).
% 1.14/1.34 tff(908,assumption,(~c2_1(a730)), introduced(assumption)).
% 1.14/1.34 tff(909,assumption,(c1_1(a730)), introduced(assumption)).
% 1.14/1.34 tff(910,assumption,(hskp19), introduced(assumption)).
% 1.14/1.34 tff(911,plain,
% 1.14/1.34 (~c0_1(a741)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[183, 910])).
% 1.14/1.34 tff(912,plain,
% 1.14/1.34 (c3_1(a741)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[191, 910])).
% 1.14/1.34 tff(913,plain,
% 1.14/1.34 (c1_1(a741)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[199, 910])).
% 1.14/1.34 tff(914,plain,
% 1.14/1.34 ($false),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[206, 133, 34, 47, 913, 912, 911, 44])).
% 1.14/1.34 tff(915,plain,((~hskp19) | hskp18 | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.14/1.34 tff(916,plain,
% 1.14/1.34 (~hskp19),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[915, 47, 34])).
% 1.14/1.34 tff(917,plain,
% 1.14/1.34 ((~c1_1(a730)) | (~c0_1(a730))),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[176, 133, 916, 83, 908, 10])).
% 1.14/1.34 tff(918,plain,
% 1.14/1.34 (~c0_1(a730)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[917, 909])).
% 1.14/1.34 tff(919,plain,
% 1.14/1.34 (~c3_1(a730)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[163, 133, 34, 47, 909, 44, 918])).
% 1.14/1.34 tff(920,assumption,(~hskp13), introduced(assumption)).
% 1.14/1.34 tff(921,assumption,(ndr1_0), introduced(assumption)).
% 1.14/1.34 tff(922,assumption,(~hskp19), introduced(assumption)).
% 1.14/1.34 tff(923,plain,
% 1.14/1.34 (hskp19 | hskp8 | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730))),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[176, 908, 10])).
% 1.14/1.34 tff(924,plain,
% 1.14/1.34 (~c0_1(a730)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[923, 909, 921, 83, 922])).
% 1.14/1.34 tff(925,plain,
% 1.14/1.34 (^[U: $i] : refl((hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))),
% 1.14/1.34 inference(bind,[status(th)],[])).
% 1.14/1.34 tff(926,plain,
% 1.14/1.34 (![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.14/1.34 inference(quant_intro,[status(thm)],[925])).
% 1.14/1.34 tff(927,plain,
% 1.14/1.34 (![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(928,plain,
% 1.14/1.34 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp8))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp8) <=> (hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) <=> (hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) | hskp13) <=> ((hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp13))), rewrite(((hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp13) <=> (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) | hskp13) <=> (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))))),
% 1.14/1.34 inference(bind,[status(th)],[])).
% 1.14/1.34 tff(929,plain,
% 1.14/1.34 (![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) | hskp13) <=> ![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.14/1.34 inference(quant_intro,[status(thm)],[928])).
% 1.14/1.34 tff(930,axiom,(![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) | hskp13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause147')).
% 1.14/1.34 tff(931,plain,
% 1.14/1.34 (![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[930, 929])).
% 1.14/1.34 tff(932,plain,
% 1.14/1.34 (![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[931, 927])).
% 1.14/1.34 tff(933,plain,(
% 1.14/1.34 ![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.14/1.34 inference(skolemize,[status(sab)],[932])).
% 1.14/1.34 tff(934,plain,
% 1.14/1.34 (![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[933, 926])).
% 1.14/1.34 tff(935,plain,
% 1.14/1.34 (((~![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp13 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730))) <=> ((~![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp13 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(936,plain,
% 1.14/1.34 ((hskp13 | hskp8 | (~ndr1_0) | c2_1(a730) | c0_1(a730) | (~c1_1(a730))) <=> (hskp13 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(937,plain,
% 1.14/1.34 (((~![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp13 | hskp8 | (~ndr1_0) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))) <=> ((~![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp13 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730)))),
% 1.14/1.34 inference(monotonicity,[status(thm)],[936])).
% 1.14/1.34 tff(938,plain,
% 1.14/1.34 (((~![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp13 | hskp8 | (~ndr1_0) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))) <=> ((~![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp13 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730))),
% 1.14/1.34 inference(transitivity,[status(thm)],[937, 935])).
% 1.14/1.34 tff(939,plain,
% 1.14/1.34 ((~![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp13 | hskp8 | (~ndr1_0) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))),
% 1.14/1.34 inference(quant_inst,[status(thm)],[])).
% 1.14/1.34 tff(940,plain,
% 1.14/1.34 ((~![U: $i] : (hskp13 | hskp8 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp13 | hskp8 | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[939, 938])).
% 1.14/1.34 tff(941,plain,
% 1.14/1.34 (hskp13 | hskp8 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[940, 908, 934])).
% 1.14/1.34 tff(942,plain,
% 1.14/1.34 ($false),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[941, 924, 909, 921, 83, 920])).
% 1.14/1.34 tff(943,plain,((~c1_1(a730)) | (~ndr1_0) | hskp8 | hskp13 | c2_1(a730) | hskp19), inference(lemma,lemma(discharge,[]))).
% 1.14/1.34 tff(944,plain,
% 1.14/1.34 ((~c1_1(a730)) | hskp8 | hskp13 | c2_1(a730) | hskp19),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[943, 133])).
% 1.14/1.34 tff(945,plain,
% 1.14/1.34 (hskp13),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[944, 909, 916, 83, 908])).
% 1.14/1.34 tff(946,plain,
% 1.14/1.34 (((~hskp13) | (~c0_1(a727))) <=> ((~hskp13) | (~c0_1(a727)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(947,plain,
% 1.14/1.34 (((~c0_1(a727)) | (~hskp13)) <=> ((~hskp13) | (~c0_1(a727)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(948,axiom,((~c0_1(a727)) | (~hskp13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause112')).
% 1.14/1.34 tff(949,plain,
% 1.14/1.34 ((~hskp13) | (~c0_1(a727))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[948, 947])).
% 1.14/1.34 tff(950,plain,
% 1.14/1.34 ((~hskp13) | (~c0_1(a727))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[949, 946])).
% 1.14/1.34 tff(951,plain,
% 1.14/1.34 (~c0_1(a727)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[950, 945])).
% 1.14/1.34 tff(952,plain,
% 1.14/1.34 (((~hskp13) | c3_1(a727)) <=> ((~hskp13) | c3_1(a727))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(953,axiom,((~hskp13) | c3_1(a727)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause80')).
% 1.14/1.34 tff(954,plain,
% 1.14/1.34 ((~hskp13) | c3_1(a727)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[953, 952])).
% 1.14/1.34 tff(955,plain,
% 1.14/1.34 ((~hskp13) | c3_1(a727)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[954, 952])).
% 1.14/1.34 tff(956,plain,
% 1.14/1.34 ((~hskp13) | c3_1(a727)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[955, 952])).
% 1.14/1.34 tff(957,plain,
% 1.14/1.34 ((~hskp13) | c3_1(a727)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[956, 952])).
% 1.14/1.34 tff(958,plain,
% 1.14/1.34 ((~hskp13) | c3_1(a727)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[957, 952])).
% 1.14/1.34 tff(959,plain,
% 1.14/1.34 (c3_1(a727)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[958, 945])).
% 1.14/1.34 tff(960,plain,
% 1.14/1.34 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(961,plain,
% 1.14/1.34 ((hskp18 | hskp17 | (~ndr1_0) | c0_1(a727) | (~c3_1(a727)) | (~c1_1(a727))) <=> (hskp18 | hskp17 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(962,plain,
% 1.14/1.34 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a727) | (~c3_1(a727)) | (~c1_1(a727)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727))))),
% 1.14/1.34 inference(monotonicity,[status(thm)],[961])).
% 1.14/1.34 tff(963,plain,
% 1.14/1.34 (((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a727) | (~c3_1(a727)) | (~c1_1(a727)))) <=> ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)))),
% 1.14/1.34 inference(transitivity,[status(thm)],[962, 960])).
% 1.14/1.34 tff(964,plain,
% 1.14/1.34 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp17 | (~ndr1_0) | c0_1(a727) | (~c3_1(a727)) | (~c1_1(a727)))),
% 1.14/1.34 inference(quant_inst,[status(thm)],[])).
% 1.14/1.34 tff(965,plain,
% 1.14/1.34 ((~![U: $i] : (hskp18 | hskp17 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp17 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[964, 963])).
% 1.14/1.34 tff(966,plain,
% 1.14/1.34 (~c1_1(a727)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[965, 133, 34, 47, 959, 951, 44])).
% 1.14/1.34 tff(967,plain,
% 1.14/1.34 (((~hskp13) | (~c2_1(a727))) <=> ((~hskp13) | (~c2_1(a727)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(968,plain,
% 1.14/1.34 (((~c2_1(a727)) | (~hskp13)) <=> ((~hskp13) | (~c2_1(a727)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(969,axiom,((~c2_1(a727)) | (~hskp13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause113')).
% 1.14/1.34 tff(970,plain,
% 1.14/1.34 ((~hskp13) | (~c2_1(a727))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[969, 968])).
% 1.14/1.34 tff(971,plain,
% 1.14/1.34 ((~hskp13) | (~c2_1(a727))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[970, 967])).
% 1.14/1.34 tff(972,plain,
% 1.14/1.34 (~c2_1(a727)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[971, 945])).
% 1.14/1.34 tff(973,plain,
% 1.14/1.34 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c2_1(a727) | (~ndr1_0) | c1_1(a727) | (~c3_1(a727)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c2_1(a727) | (~ndr1_0) | c1_1(a727) | (~c3_1(a727)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(974,plain,
% 1.14/1.34 ((hskp17 | hskp14 | (~ndr1_0) | c2_1(a727) | c1_1(a727) | (~c3_1(a727))) <=> (hskp17 | hskp14 | c2_1(a727) | (~ndr1_0) | c1_1(a727) | (~c3_1(a727)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(975,plain,
% 1.14/1.34 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a727) | c1_1(a727) | (~c3_1(a727)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c2_1(a727) | (~ndr1_0) | c1_1(a727) | (~c3_1(a727))))),
% 1.14/1.34 inference(monotonicity,[status(thm)],[974])).
% 1.14/1.34 tff(976,plain,
% 1.14/1.34 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a727) | c1_1(a727) | (~c3_1(a727)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c2_1(a727) | (~ndr1_0) | c1_1(a727) | (~c3_1(a727)))),
% 1.14/1.34 inference(transitivity,[status(thm)],[975, 973])).
% 1.14/1.34 tff(977,plain,
% 1.14/1.34 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a727) | c1_1(a727) | (~c3_1(a727)))),
% 1.14/1.34 inference(quant_inst,[status(thm)],[])).
% 1.14/1.34 tff(978,plain,
% 1.14/1.34 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c2_1(a727) | (~ndr1_0) | c1_1(a727) | (~c3_1(a727))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[977, 976])).
% 1.14/1.34 tff(979,plain,
% 1.14/1.34 (hskp14),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[978, 133, 47, 959, 972, 101, 966])).
% 1.14/1.34 tff(980,plain,
% 1.14/1.34 ($false),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[148, 979, 919])).
% 1.14/1.34 tff(981,plain,((~c1_1(a730)) | hskp17 | hskp18 | hskp8 | c2_1(a730)), inference(lemma,lemma(discharge,[]))).
% 1.14/1.34 tff(982,plain,
% 1.14/1.34 (~c1_1(a730)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[981, 908, 34, 83, 47])).
% 1.14/1.34 tff(983,plain,
% 1.14/1.34 (~hskp14),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[156, 982])).
% 1.14/1.34 tff(984,plain,
% 1.14/1.34 ((hskp14 | hskp8 | hskp7) <=> (hskp14 | hskp8 | hskp7)),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(985,plain,
% 1.14/1.34 (((hskp14 | hskp7) | hskp8) <=> (hskp14 | hskp8 | hskp7)),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(986,plain,
% 1.14/1.34 ((hskp7 | hskp14) <=> (hskp14 | hskp7)),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(987,plain,
% 1.14/1.34 (((hskp7 | hskp14) | hskp8) <=> ((hskp14 | hskp7) | hskp8)),
% 1.14/1.34 inference(monotonicity,[status(thm)],[986])).
% 1.14/1.34 tff(988,plain,
% 1.14/1.34 (((hskp7 | hskp14) | hskp8) <=> (hskp14 | hskp8 | hskp7)),
% 1.14/1.34 inference(transitivity,[status(thm)],[987, 985])).
% 1.14/1.34 tff(989,axiom,((hskp7 | hskp14) | hskp8), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause40')).
% 1.14/1.34 tff(990,plain,
% 1.14/1.34 (hskp14 | hskp8 | hskp7),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[989, 988])).
% 1.14/1.34 tff(991,plain,
% 1.14/1.34 (hskp14 | hskp8 | hskp7),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[990, 984])).
% 1.14/1.34 tff(992,plain,
% 1.14/1.34 (hskp14 | hskp8 | hskp7),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[991, 984])).
% 1.14/1.34 tff(993,plain,
% 1.14/1.34 (hskp14 | hskp8 | hskp7),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[992, 984])).
% 1.14/1.34 tff(994,plain,
% 1.14/1.34 (hskp14 | hskp8 | hskp7),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[993, 984])).
% 1.14/1.34 tff(995,plain,
% 1.14/1.34 (hskp7),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[994, 983, 83])).
% 1.14/1.34 tff(996,plain,
% 1.14/1.34 (~c2_1(a717)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[545, 995])).
% 1.14/1.34 tff(997,plain,
% 1.14/1.34 (~c3_1(a717)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[505, 995])).
% 1.14/1.34 tff(998,assumption,(~c1_1(a730)), introduced(assumption)).
% 1.14/1.34 tff(999,plain,
% 1.14/1.34 (~hskp14),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[156, 998])).
% 1.14/1.34 tff(1000,plain,
% 1.14/1.34 (hskp7),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[994, 999, 83])).
% 1.14/1.34 tff(1001,plain,
% 1.14/1.34 (c0_1(a717)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[522, 1000])).
% 1.14/1.34 tff(1002,assumption,(~c3_1(a717)), introduced(assumption)).
% 1.14/1.34 tff(1003,assumption,(~c2_1(a717)), introduced(assumption)).
% 1.14/1.34 tff(1004,plain,
% 1.14/1.34 (c2_1(a716)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[243, 905])).
% 1.14/1.34 tff(1005,plain,
% 1.14/1.34 (c0_1(a716)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[514, 905])).
% 1.14/1.34 tff(1006,plain,
% 1.14/1.34 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | (c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(1007,plain,
% 1.14/1.34 (((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717))) <=> (c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(1008,plain,
% 1.14/1.34 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | (c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717))))),
% 1.14/1.34 inference(monotonicity,[status(thm)],[1007])).
% 1.14/1.34 tff(1009,plain,
% 1.14/1.34 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.14/1.34 inference(transitivity,[status(thm)],[1008, 1006])).
% 1.14/1.34 tff(1010,plain,
% 1.14/1.34 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717)))),
% 1.14/1.34 inference(quant_inst,[status(thm)],[])).
% 1.14/1.34 tff(1011,plain,
% 1.14/1.34 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a717)) | (~c1_1(a717))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 1.14/1.34 tff(1012,plain,
% 1.14/1.34 ((~c0_1(a717)) | (~c1_1(a717))),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[1011, 133, 1005, 1004, 1003, 1002, 906, 482])).
% 1.14/1.34 tff(1013,plain,
% 1.14/1.34 (~c1_1(a717)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[1012, 1001])).
% 1.14/1.34 tff(1014,plain,
% 1.14/1.34 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(1015,plain,
% 1.14/1.34 ((hskp30 | hskp18 | (~ndr1_0) | c2_1(a717) | c1_1(a717) | (~c0_1(a717))) <=> (hskp30 | hskp18 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(1016,plain,
% 1.14/1.34 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a717) | c1_1(a717) | (~c0_1(a717)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717)))),
% 1.14/1.34 inference(monotonicity,[status(thm)],[1015])).
% 1.14/1.34 tff(1017,plain,
% 1.14/1.34 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a717) | c1_1(a717) | (~c0_1(a717)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717))),
% 1.14/1.34 inference(transitivity,[status(thm)],[1016, 1014])).
% 1.14/1.34 tff(1018,plain,
% 1.14/1.34 ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a717) | c1_1(a717) | (~c0_1(a717)))),
% 1.14/1.34 inference(quant_inst,[status(thm)],[])).
% 1.14/1.34 tff(1019,plain,
% 1.14/1.34 ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717)),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[1018, 1017])).
% 1.14/1.34 tff(1020,plain,
% 1.14/1.34 (hskp30 | (~c0_1(a717)) | c1_1(a717)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[1019, 133, 34, 1003, 414])).
% 1.14/1.34 tff(1021,plain,
% 1.14/1.34 (hskp30),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[1020, 1001, 1013])).
% 1.14/1.34 tff(1022,plain,
% 1.14/1.34 (c3_1(a714)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[435, 1021])).
% 1.14/1.34 tff(1023,plain,
% 1.14/1.34 (c2_1(a714)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[443, 1021])).
% 1.14/1.34 tff(1024,plain,
% 1.14/1.34 (c0_1(a714)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[451, 1021])).
% 1.14/1.34 tff(1025,plain,
% 1.14/1.34 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a730) | c0_1(a734) | c3_1(a734) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a730) | c0_1(a734) | c3_1(a734) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(1026,plain,
% 1.14/1.34 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a730) | c2_1(a730) | (~c0_1(a730)) | c3_1(a734) | c2_1(a734) | c0_1(a734)) <=> (c1_1(a730) | c0_1(a734) | c3_1(a734) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.34 inference(rewrite,[status(thm)],[])).
% 1.14/1.34 tff(1027,plain,
% 1.14/1.34 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a730) | c2_1(a730) | (~c0_1(a730)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a730) | c0_1(a734) | c3_1(a734) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.14/1.34 inference(monotonicity,[status(thm)],[1026])).
% 1.14/1.34 tff(1028,plain,
% 1.14/1.34 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a730) | c2_1(a730) | (~c0_1(a730)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a730) | c0_1(a734) | c3_1(a734) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.34 inference(transitivity,[status(thm)],[1027, 1025])).
% 1.14/1.34 tff(1029,plain,
% 1.14/1.34 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a730) | c2_1(a730) | (~c0_1(a730)) | c3_1(a734) | c2_1(a734) | c0_1(a734))),
% 1.14/1.34 inference(quant_inst,[status(thm)],[])).
% 1.14/1.34 tff(1030,plain,
% 1.14/1.34 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a730) | c0_1(a734) | c3_1(a734) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.14/1.34 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 1.14/1.34 tff(1031,plain,
% 1.14/1.34 (~c0_1(a730)),
% 1.14/1.34 inference(unit_resolution,[status(thm)],[1030, 133, 1024, 1023, 1022, 998, 46, 311, 908, 368, 907])).
% 1.14/1.34 tff(1032,plain,
% 1.14/1.34 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c1_1(a730) | c2_1(a730) | (~ndr1_0) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a730) | c2_1(a730) | (~ndr1_0) | (~c3_1(a730)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1033,plain,
% 1.14/1.35 ((hskp17 | hskp14 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c3_1(a730))) <=> (hskp17 | hskp14 | c1_1(a730) | c2_1(a730) | (~ndr1_0) | (~c3_1(a730)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1034,plain,
% 1.14/1.35 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c1_1(a730) | c2_1(a730) | (~ndr1_0) | (~c3_1(a730))))),
% 1.14/1.35 inference(monotonicity,[status(thm)],[1033])).
% 1.14/1.35 tff(1035,plain,
% 1.14/1.35 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a730) | c2_1(a730) | (~ndr1_0) | (~c3_1(a730)))),
% 1.14/1.35 inference(transitivity,[status(thm)],[1034, 1032])).
% 1.14/1.35 tff(1036,plain,
% 1.14/1.35 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c3_1(a730)))),
% 1.14/1.35 inference(quant_inst,[status(thm)],[])).
% 1.14/1.35 tff(1037,plain,
% 1.14/1.35 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a730) | c2_1(a730) | (~ndr1_0) | (~c3_1(a730))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1036, 1035])).
% 1.14/1.35 tff(1038,plain,
% 1.14/1.35 (hskp14 | c1_1(a730) | (~c3_1(a730))),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1037, 133, 47, 908, 101])).
% 1.14/1.35 tff(1039,plain,
% 1.14/1.35 (~c3_1(a730)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1038, 999, 998])).
% 1.14/1.35 tff(1040,plain,
% 1.14/1.35 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c3_1(a730) | c2_1(a730) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c0_1(a730) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c3_1(a730) | c2_1(a730) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c0_1(a730) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1041,plain,
% 1.14/1.35 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a730) | c2_1(a730) | c0_1(a730)) <=> (c3_1(a730) | c2_1(a730) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c0_1(a730) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1042,plain,
% 1.14/1.35 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a730) | c2_1(a730) | c0_1(a730))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c3_1(a730) | c2_1(a730) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c0_1(a730) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.14/1.35 inference(monotonicity,[status(thm)],[1041])).
% 1.14/1.35 tff(1043,plain,
% 1.14/1.35 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a730) | c2_1(a730) | c0_1(a730))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c3_1(a730) | c2_1(a730) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c0_1(a730) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.35 inference(transitivity,[status(thm)],[1042, 1040])).
% 1.14/1.35 tff(1044,plain,
% 1.14/1.35 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a730) | c2_1(a730) | c0_1(a730))),
% 1.14/1.35 inference(quant_inst,[status(thm)],[])).
% 1.14/1.35 tff(1045,plain,
% 1.14/1.35 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c3_1(a730) | c2_1(a730) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c0_1(a730) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 1.14/1.35 tff(1046,plain,
% 1.14/1.35 ($false),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1045, 133, 1024, 1023, 1022, 1039, 1001, 908, 1003, 368, 1031, 1013])).
% 1.14/1.35 tff(1047,plain,(c1_1(a730) | c2_1(a730) | c2_1(a717) | c0_1(a734) | c3_1(a734) | c2_1(a734) | hskp18 | c3_1(a717) | hskp17 | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.14/1.35 tff(1048,plain,
% 1.14/1.35 ($false),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1047, 997, 996, 908, 46, 311, 907, 34, 982, 47, 83])).
% 1.14/1.35 tff(1049,plain,(c2_1(a730) | c0_1(a734) | c3_1(a734) | c2_1(a734) | hskp18 | hskp17 | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.14/1.35 tff(1050,plain,
% 1.14/1.35 (c2_1(a730)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1049, 83, 311, 907, 34, 47, 46])).
% 1.14/1.35 tff(1051,plain,
% 1.14/1.35 (~hskp14),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[169, 1050])).
% 1.14/1.35 tff(1052,plain,
% 1.14/1.35 (hskp7),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[994, 1051, 83])).
% 1.14/1.35 tff(1053,plain,
% 1.14/1.35 (~c3_1(a717)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[505, 1052])).
% 1.14/1.35 tff(1054,plain,
% 1.14/1.35 (~c2_1(a717)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[545, 1052])).
% 1.14/1.35 tff(1055,plain,
% 1.14/1.35 (c0_1(a717)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[522, 1052])).
% 1.14/1.35 tff(1056,plain,
% 1.14/1.35 (~c1_1(a717)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1011, 133, 1055, 1005, 1004, 1054, 1053, 906, 482])).
% 1.14/1.35 tff(1057,plain,
% 1.14/1.35 (hskp30),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1019, 133, 34, 1055, 1054, 414, 1056])).
% 1.14/1.35 tff(1058,plain,
% 1.14/1.35 (c3_1(a714)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[435, 1057])).
% 1.14/1.35 tff(1059,plain,
% 1.14/1.35 (c2_1(a714)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[443, 1057])).
% 1.14/1.35 tff(1060,plain,
% 1.14/1.35 (c0_1(a714)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[451, 1057])).
% 1.14/1.35 tff(1061,plain,
% 1.14/1.35 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1062,plain,
% 1.14/1.35 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a734) | c2_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1063,plain,
% 1.14/1.35 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.14/1.35 inference(monotonicity,[status(thm)],[1062])).
% 1.14/1.35 tff(1064,plain,
% 1.14/1.35 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.35 inference(transitivity,[status(thm)],[1063, 1061])).
% 1.14/1.35 tff(1065,plain,
% 1.14/1.35 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a734) | c2_1(a734) | c0_1(a734))),
% 1.14/1.35 inference(quant_inst,[status(thm)],[])).
% 1.14/1.35 tff(1066,plain,
% 1.14/1.35 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 1.14/1.35 tff(1067,plain,
% 1.14/1.35 ($false),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1066, 133, 1060, 1059, 1058, 1055, 46, 311, 1054, 368, 907, 1056])).
% 1.14/1.35 tff(1068,plain,(hskp8 | c0_1(a734) | c3_1(a734) | c2_1(a734) | hskp18 | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.14/1.35 tff(1069,plain,
% 1.14/1.35 (hskp8),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1068, 311, 46, 904, 34, 47])).
% 1.14/1.35 tff(1070,plain,
% 1.14/1.35 (~c0_1(a718)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[32, 1069])).
% 1.14/1.35 tff(1071,plain,
% 1.14/1.35 (c1_1(a718)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[722, 1069])).
% 1.14/1.35 tff(1072,plain,
% 1.14/1.35 (~c3_1(a718)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[729, 133, 34, 47, 1071, 1070, 44])).
% 1.14/1.35 tff(1073,plain,
% 1.14/1.35 (^[V: $i, U: $i] : refl((hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) <=> (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))))),
% 1.14/1.35 inference(bind,[status(th)],[])).
% 1.14/1.35 tff(1074,plain,
% 1.14/1.35 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.14/1.35 inference(quant_intro,[status(thm)],[1073])).
% 1.14/1.35 tff(1075,plain,
% 1.14/1.35 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1076,plain,
% 1.14/1.35 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp16) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) | hskp16))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) | hskp16) <=> (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp16) <=> (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))))),
% 1.14/1.35 inference(bind,[status(th)],[])).
% 1.14/1.35 tff(1077,plain,
% 1.14/1.35 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp16) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.14/1.35 inference(quant_intro,[status(thm)],[1076])).
% 1.14/1.35 tff(1078,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause184')).
% 1.14/1.35 tff(1079,plain,
% 1.14/1.35 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 1.14/1.35 tff(1080,plain,
% 1.14/1.35 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1079, 1075])).
% 1.14/1.35 tff(1081,plain,(
% 1.14/1.35 ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.14/1.35 inference(skolemize,[status(sab)],[1080])).
% 1.14/1.35 tff(1082,plain,
% 1.14/1.35 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1081, 1074])).
% 1.14/1.35 tff(1083,plain,
% 1.14/1.35 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)))),
% 1.14/1.35 inference(bind,[status(th)],[])).
% 1.14/1.35 tff(1084,plain,
% 1.14/1.35 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.35 inference(quant_intro,[status(thm)],[1083])).
% 1.14/1.35 tff(1085,plain,
% 1.14/1.35 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1086,plain,
% 1.14/1.35 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V))) | c0_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))))),
% 1.14/1.35 inference(bind,[status(th)],[])).
% 1.14/1.35 tff(1087,plain,
% 1.14/1.35 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.35 inference(quant_intro,[status(thm)],[1086])).
% 1.14/1.35 tff(1088,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause204')).
% 1.14/1.35 tff(1089,plain,
% 1.14/1.35 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1088, 1087])).
% 1.14/1.35 tff(1090,plain,
% 1.14/1.35 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1089, 1085])).
% 1.14/1.35 tff(1091,plain,(
% 1.14/1.35 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.35 inference(skolemize,[status(sab)],[1090])).
% 1.14/1.35 tff(1092,plain,
% 1.14/1.35 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1091, 1084])).
% 1.14/1.35 tff(1093,plain,
% 1.14/1.35 (~c2_1(a718)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[26, 1069])).
% 1.14/1.35 tff(1094,plain,
% 1.14/1.35 (^[U: $i] : refl((hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))),
% 1.14/1.35 inference(bind,[status(th)],[])).
% 1.14/1.35 tff(1095,plain,
% 1.14/1.35 (![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.14/1.35 inference(quant_intro,[status(thm)],[1094])).
% 1.14/1.35 tff(1096,plain,
% 1.14/1.35 (![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1097,plain,
% 1.14/1.35 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp16) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp16))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp16) <=> (hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp16) <=> (hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp16) | hskp17) <=> ((hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp17))), rewrite(((hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp17) <=> (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp16) | hskp17) <=> (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))))),
% 1.14/1.35 inference(bind,[status(th)],[])).
% 1.14/1.35 tff(1098,plain,
% 1.14/1.35 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp16) | hskp17) <=> ![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.14/1.35 inference(quant_intro,[status(thm)],[1097])).
% 1.14/1.35 tff(1099,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp16) | hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause168')).
% 1.14/1.35 tff(1100,plain,
% 1.14/1.35 (![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 1.14/1.35 tff(1101,plain,
% 1.14/1.35 (![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1100, 1096])).
% 1.14/1.35 tff(1102,plain,(
% 1.14/1.35 ![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.14/1.35 inference(skolemize,[status(sab)],[1101])).
% 1.14/1.35 tff(1103,plain,
% 1.14/1.35 (![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1102, 1095])).
% 1.14/1.35 tff(1104,assumption,(~hskp30), introduced(assumption)).
% 1.14/1.35 tff(1105,plain,
% 1.14/1.35 ((hskp30 | hskp23 | hskp17) <=> (hskp30 | hskp23 | hskp17)),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1106,plain,
% 1.14/1.35 (((hskp23 | hskp30) | hskp17) <=> (hskp30 | hskp23 | hskp17)),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1107,axiom,((hskp23 | hskp30) | hskp17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause33')).
% 1.14/1.35 tff(1108,plain,
% 1.14/1.35 (hskp30 | hskp23 | hskp17),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 1.14/1.35 tff(1109,plain,
% 1.14/1.35 (hskp30 | hskp23 | hskp17),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1108, 1105])).
% 1.14/1.35 tff(1110,plain,
% 1.14/1.35 (hskp30 | hskp23 | hskp17),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1109, 1105])).
% 1.14/1.35 tff(1111,plain,
% 1.14/1.35 (hskp30 | hskp23 | hskp17),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1110, 1105])).
% 1.14/1.35 tff(1112,plain,
% 1.14/1.35 (hskp30 | hskp23 | hskp17),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1111, 1105])).
% 1.14/1.35 tff(1113,plain,
% 1.14/1.35 (hskp23),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1112, 1104, 47])).
% 1.14/1.35 tff(1114,plain,
% 1.14/1.35 (((~hskp23) | (~c2_1(a757))) <=> ((~hskp23) | (~c2_1(a757)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1115,plain,
% 1.14/1.35 (((~c2_1(a757)) | (~hskp23)) <=> ((~hskp23) | (~c2_1(a757)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1116,axiom,((~c2_1(a757)) | (~hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause98')).
% 1.14/1.35 tff(1117,plain,
% 1.14/1.35 ((~hskp23) | (~c2_1(a757))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 1.14/1.35 tff(1118,plain,
% 1.14/1.35 ((~hskp23) | (~c2_1(a757))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1117, 1114])).
% 1.14/1.35 tff(1119,plain,
% 1.14/1.35 (~c2_1(a757)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1118, 1113])).
% 1.14/1.35 tff(1120,plain,
% 1.14/1.35 (((~hskp23) | c1_1(a757)) <=> ((~hskp23) | c1_1(a757))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1121,axiom,((~hskp23) | c1_1(a757)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause65')).
% 1.14/1.35 tff(1122,plain,
% 1.14/1.35 ((~hskp23) | c1_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 1.14/1.35 tff(1123,plain,
% 1.14/1.35 ((~hskp23) | c1_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1122, 1120])).
% 1.14/1.35 tff(1124,plain,
% 1.14/1.35 ((~hskp23) | c1_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1123, 1120])).
% 1.14/1.35 tff(1125,plain,
% 1.14/1.35 ((~hskp23) | c1_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1124, 1120])).
% 1.14/1.35 tff(1126,plain,
% 1.14/1.35 ((~hskp23) | c1_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1125, 1120])).
% 1.14/1.35 tff(1127,plain,
% 1.14/1.35 (c1_1(a757)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1126, 1113])).
% 1.14/1.35 tff(1128,plain,
% 1.14/1.35 (((~hskp23) | c0_1(a757)) <=> ((~hskp23) | c0_1(a757))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1129,axiom,((~hskp23) | c0_1(a757)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause64')).
% 1.14/1.35 tff(1130,plain,
% 1.14/1.35 ((~hskp23) | c0_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 1.14/1.35 tff(1131,plain,
% 1.14/1.35 ((~hskp23) | c0_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1130, 1128])).
% 1.14/1.35 tff(1132,plain,
% 1.14/1.35 ((~hskp23) | c0_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1131, 1128])).
% 1.14/1.35 tff(1133,plain,
% 1.14/1.35 ((~hskp23) | c0_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1132, 1128])).
% 1.14/1.35 tff(1134,plain,
% 1.14/1.35 ((~hskp23) | c0_1(a757)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1133, 1128])).
% 1.14/1.35 tff(1135,plain,
% 1.14/1.35 (c0_1(a757)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1134, 1113])).
% 1.14/1.35 tff(1136,plain,
% 1.14/1.35 (((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757)))) <=> ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | hskp16 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1137,plain,
% 1.14/1.35 ((hskp17 | hskp16 | (~ndr1_0) | c2_1(a757) | (~c1_1(a757)) | (~c0_1(a757))) <=> (hskp17 | hskp16 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1138,plain,
% 1.14/1.35 (((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | (~ndr1_0) | c2_1(a757) | (~c1_1(a757)) | (~c0_1(a757)))) <=> ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757))))),
% 1.14/1.35 inference(monotonicity,[status(thm)],[1137])).
% 1.14/1.35 tff(1139,plain,
% 1.14/1.35 (((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | (~ndr1_0) | c2_1(a757) | (~c1_1(a757)) | (~c0_1(a757)))) <=> ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | hskp16 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757)))),
% 1.14/1.35 inference(transitivity,[status(thm)],[1138, 1136])).
% 1.14/1.35 tff(1140,plain,
% 1.14/1.35 ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | (~ndr1_0) | c2_1(a757) | (~c1_1(a757)) | (~c0_1(a757)))),
% 1.14/1.35 inference(quant_inst,[status(thm)],[])).
% 1.14/1.35 tff(1141,plain,
% 1.14/1.35 ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | hskp16 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 1.14/1.35 tff(1142,plain,
% 1.14/1.35 (hskp16),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1141, 133, 47, 1135, 1127, 1119, 1103])).
% 1.14/1.35 tff(1143,plain,
% 1.14/1.35 (((~hskp16) | (~c1_1(a732))) <=> ((~hskp16) | (~c1_1(a732)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1144,plain,
% 1.14/1.35 (((~c1_1(a732)) | (~hskp16)) <=> ((~hskp16) | (~c1_1(a732)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1145,axiom,((~c1_1(a732)) | (~hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause108')).
% 1.14/1.35 tff(1146,plain,
% 1.14/1.35 ((~hskp16) | (~c1_1(a732))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 1.14/1.35 tff(1147,plain,
% 1.14/1.35 ((~hskp16) | (~c1_1(a732))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1146, 1143])).
% 1.14/1.35 tff(1148,plain,
% 1.14/1.35 (~c1_1(a732)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1147, 1142])).
% 1.14/1.35 tff(1149,plain,
% 1.14/1.35 (((~hskp16) | c0_1(a732)) <=> ((~hskp16) | c0_1(a732))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1150,axiom,((~hskp16) | c0_1(a732)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause75')).
% 1.14/1.35 tff(1151,plain,
% 1.14/1.35 ((~hskp16) | c0_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1150, 1149])).
% 1.14/1.35 tff(1152,plain,
% 1.14/1.35 ((~hskp16) | c0_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1151, 1149])).
% 1.14/1.35 tff(1153,plain,
% 1.14/1.35 ((~hskp16) | c0_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1152, 1149])).
% 1.14/1.35 tff(1154,plain,
% 1.14/1.35 ((~hskp16) | c0_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1153, 1149])).
% 1.14/1.35 tff(1155,plain,
% 1.14/1.35 ((~hskp16) | c0_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1154, 1149])).
% 1.14/1.35 tff(1156,plain,
% 1.14/1.35 (c0_1(a732)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1155, 1142])).
% 1.14/1.35 tff(1157,plain,
% 1.14/1.35 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1158,plain,
% 1.14/1.35 ((hskp30 | hskp18 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | (~c0_1(a732))) <=> (hskp30 | hskp18 | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1159,plain,
% 1.14/1.35 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | (~c0_1(a732)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732))))),
% 1.14/1.35 inference(monotonicity,[status(thm)],[1158])).
% 1.14/1.35 tff(1160,plain,
% 1.14/1.35 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | (~c0_1(a732)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)))),
% 1.14/1.35 inference(transitivity,[status(thm)],[1159, 1157])).
% 1.14/1.35 tff(1161,plain,
% 1.14/1.35 ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | (~c0_1(a732)))),
% 1.14/1.35 inference(quant_inst,[status(thm)],[])).
% 1.14/1.35 tff(1162,plain,
% 1.14/1.35 ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732))),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 1.14/1.35 tff(1163,plain,
% 1.14/1.35 (c2_1(a732)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1162, 133, 1104, 34, 1156, 1148, 414])).
% 1.14/1.35 tff(1164,assumption,(~c2_1(a718)), introduced(assumption)).
% 1.14/1.35 tff(1165,assumption,(~c0_1(a718)), introduced(assumption)).
% 1.14/1.35 tff(1166,assumption,(c1_1(a718)), introduced(assumption)).
% 1.14/1.35 tff(1167,plain,
% 1.14/1.35 (((~hskp16) | c3_1(a732)) <=> ((~hskp16) | c3_1(a732))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1168,axiom,((~hskp16) | c3_1(a732)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause76')).
% 1.14/1.35 tff(1169,plain,
% 1.14/1.35 ((~hskp16) | c3_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 1.14/1.35 tff(1170,plain,
% 1.14/1.35 ((~hskp16) | c3_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1169, 1167])).
% 1.14/1.35 tff(1171,plain,
% 1.14/1.35 ((~hskp16) | c3_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1170, 1167])).
% 1.14/1.35 tff(1172,plain,
% 1.14/1.35 ((~hskp16) | c3_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1171, 1167])).
% 1.14/1.35 tff(1173,plain,
% 1.14/1.35 ((~hskp16) | c3_1(a732)),
% 1.14/1.35 inference(modus_ponens,[status(thm)],[1172, 1167])).
% 1.14/1.35 tff(1174,plain,
% 1.14/1.35 (c3_1(a732)),
% 1.14/1.35 inference(unit_resolution,[status(thm)],[1173, 1142])).
% 1.14/1.35 tff(1175,plain,
% 1.14/1.35 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1176,plain,
% 1.14/1.35 (((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718))) <=> (c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.14/1.35 inference(rewrite,[status(thm)],[])).
% 1.14/1.35 tff(1177,plain,
% 1.14/1.35 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))))),
% 1.14/1.35 inference(monotonicity,[status(thm)],[1176])).
% 1.14/1.35 tff(1178,plain,
% 1.14/1.35 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.14/1.36 inference(transitivity,[status(thm)],[1177, 1175])).
% 1.14/1.36 tff(1179,plain,
% 1.14/1.36 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))),
% 1.14/1.36 inference(quant_inst,[status(thm)],[])).
% 1.14/1.36 tff(1180,plain,
% 1.14/1.36 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1179, 1178])).
% 1.14/1.36 tff(1181,plain,
% 1.14/1.36 ($false),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1180, 133, 874, 897, 1174, 1166, 1148, 1165, 1164, 20, 879, 1163])).
% 1.14/1.36 tff(1182,plain,(hskp30 | (~c1_1(a718)) | c0_1(a718) | c2_1(a718) | hskp18 | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.14/1.36 tff(1183,plain,
% 1.14/1.36 (hskp30),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1182, 1071, 1070, 1093, 34, 47])).
% 1.14/1.36 tff(1184,plain,
% 1.14/1.36 (c3_1(a714)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[435, 1183])).
% 1.14/1.36 tff(1185,plain,
% 1.14/1.36 (c2_1(a714)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[443, 1183])).
% 1.14/1.36 tff(1186,plain,
% 1.14/1.36 (c0_1(a714)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[451, 1183])).
% 1.14/1.36 tff(1187,assumption,(c0_1(a709)), introduced(assumption)).
% 1.14/1.36 tff(1188,assumption,(hskp16), introduced(assumption)).
% 1.14/1.36 tff(1189,plain,
% 1.14/1.36 (~c1_1(a732)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1147, 1188])).
% 1.14/1.36 tff(1190,plain,
% 1.14/1.36 (c3_1(a732)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1173, 1188])).
% 1.14/1.36 tff(1191,plain,
% 1.14/1.36 (~c2_1(a732)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1180, 133, 874, 897, 1190, 1166, 1189, 1165, 1164, 20, 1187])).
% 1.14/1.36 tff(1192,plain,
% 1.14/1.36 (c0_1(a732)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1155, 1188])).
% 1.14/1.36 tff(1193,assumption,(c3_1(a714)), introduced(assumption)).
% 1.14/1.36 tff(1194,assumption,(c2_1(a714)), introduced(assumption)).
% 1.14/1.36 tff(1195,assumption,(c0_1(a714)), introduced(assumption)).
% 1.14/1.36 tff(1196,plain,
% 1.14/1.36 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1197,plain,
% 1.14/1.36 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a734) | c2_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c3_1(a734) | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1198,plain,
% 1.14/1.36 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.14/1.36 inference(monotonicity,[status(thm)],[1197])).
% 1.14/1.36 tff(1199,plain,
% 1.14/1.36 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.14/1.36 inference(transitivity,[status(thm)],[1198, 1196])).
% 1.14/1.36 tff(1200,plain,
% 1.14/1.36 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a734) | c2_1(a734) | c0_1(a734))),
% 1.14/1.36 inference(quant_inst,[status(thm)],[])).
% 1.14/1.36 tff(1201,plain,
% 1.14/1.36 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c1_1(a732) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1200, 1199])).
% 1.14/1.36 tff(1202,plain,
% 1.14/1.36 ($false),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1201, 133, 1195, 1194, 1193, 1192, 46, 311, 1189, 368, 907, 1191])).
% 1.14/1.36 tff(1203,plain,((~hskp16) | (~c0_1(a714)) | (~c2_1(a714)) | (~c3_1(a714)) | c0_1(a734) | c3_1(a734) | c2_1(a734) | (~c1_1(a718)) | c0_1(a718) | c2_1(a718) | (~c0_1(a709))), inference(lemma,lemma(discharge,[]))).
% 1.14/1.36 tff(1204,plain,
% 1.14/1.36 (~hskp16),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1203, 1186, 1185, 1184, 46, 311, 904, 1071, 1070, 1093, 879])).
% 1.14/1.36 tff(1205,assumption,(hskp7), introduced(assumption)).
% 1.14/1.36 tff(1206,plain,
% 1.14/1.36 (~c2_1(a717)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[545, 1205])).
% 1.14/1.36 tff(1207,plain,
% 1.14/1.36 (c0_1(a717)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[522, 1205])).
% 1.14/1.36 tff(1208,assumption,(~hskp16), introduced(assumption)).
% 1.14/1.36 tff(1209,plain,
% 1.14/1.36 (((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))) <=> ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | hskp16 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1210,plain,
% 1.14/1.36 ((hskp17 | hskp16 | (~ndr1_0) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717))) <=> (hskp17 | hskp16 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1211,plain,
% 1.14/1.36 (((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | (~ndr1_0) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717)))) <=> ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717))))),
% 1.14/1.36 inference(monotonicity,[status(thm)],[1210])).
% 1.14/1.36 tff(1212,plain,
% 1.14/1.36 (((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | (~ndr1_0) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717)))) <=> ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | hskp16 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.14/1.36 inference(transitivity,[status(thm)],[1211, 1209])).
% 1.14/1.36 tff(1213,plain,
% 1.14/1.36 ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | hskp16 | (~ndr1_0) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717)))),
% 1.14/1.36 inference(quant_inst,[status(thm)],[])).
% 1.14/1.36 tff(1214,plain,
% 1.14/1.36 ((~![U: $i] : (hskp17 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | hskp16 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1213, 1212])).
% 1.14/1.36 tff(1215,plain,
% 1.14/1.36 (~c1_1(a717)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1214, 133, 47, 1208, 1207, 1206, 1103])).
% 1.14/1.36 tff(1216,assumption,(~c3_1(a718)), introduced(assumption)).
% 1.14/1.36 tff(1217,plain,
% 1.14/1.36 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W)))),
% 1.14/1.36 inference(bind,[status(th)],[])).
% 1.14/1.36 tff(1218,plain,
% 1.14/1.36 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))),
% 1.14/1.36 inference(quant_intro,[status(thm)],[1217])).
% 1.14/1.36 tff(1219,plain,
% 1.14/1.36 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1220,plain,
% 1.14/1.36 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V))))), (((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)))), (((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V))))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c0_1(V)))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c0_1(V))))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V))))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c1_1(W)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))) | c1_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))) | c1_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c1_1(W))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c1_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c1_1(W)))), ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c1_1(W)) | c2_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W))), ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W)))), (((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) | c3_1(W)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W)) | c3_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W)) | c3_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))), (((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) | c3_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))))),
% 1.14/1.36 inference(bind,[status(th)],[])).
% 1.14/1.36 tff(1221,plain,
% 1.14/1.36 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))),
% 1.14/1.36 inference(quant_intro,[status(thm)],[1220])).
% 1.14/1.36 tff(1222,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause197')).
% 1.14/1.36 tff(1223,plain,
% 1.14/1.36 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1222, 1221])).
% 1.14/1.36 tff(1224,plain,
% 1.14/1.36 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1223, 1219])).
% 1.14/1.36 tff(1225,plain,(
% 1.14/1.36 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))),
% 1.14/1.36 inference(skolemize,[status(sab)],[1224])).
% 1.14/1.36 tff(1226,plain,
% 1.14/1.36 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1225, 1218])).
% 1.14/1.36 tff(1227,plain,
% 1.14/1.36 (~c3_1(a717)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[505, 1205])).
% 1.14/1.36 tff(1228,plain,
% 1.14/1.36 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | (c2_1(a718) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c1_1(a718)) | c3_1(a718))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | c2_1(a718) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c1_1(a718)) | c3_1(a718))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1229,plain,
% 1.14/1.36 (((~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)) | c3_1(a717) | c1_1(a717) | (~c0_1(a717)) | c3_1(a717) | c2_1(a717) | c1_1(a717)) <=> (c2_1(a718) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c1_1(a718)) | c3_1(a718))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1230,plain,
% 1.14/1.36 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | ((~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)) | c3_1(a717) | c1_1(a717) | (~c0_1(a717)) | c3_1(a717) | c2_1(a717) | c1_1(a717))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | (c2_1(a718) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c1_1(a718)) | c3_1(a718)))),
% 1.14/1.36 inference(monotonicity,[status(thm)],[1229])).
% 1.14/1.36 tff(1231,plain,
% 1.14/1.36 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | ((~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)) | c3_1(a717) | c1_1(a717) | (~c0_1(a717)) | c3_1(a717) | c2_1(a717) | c1_1(a717))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | c2_1(a718) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c1_1(a718)) | c3_1(a718))),
% 1.14/1.36 inference(transitivity,[status(thm)],[1230, 1228])).
% 1.14/1.36 tff(1232,plain,
% 1.14/1.36 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | ((~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)) | c3_1(a717) | c1_1(a717) | (~c0_1(a717)) | c3_1(a717) | c2_1(a717) | c1_1(a717))),
% 1.14/1.36 inference(quant_inst,[status(thm)],[])).
% 1.14/1.36 tff(1233,plain,
% 1.14/1.36 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | c2_1(a718) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c1_1(a718)) | c3_1(a718)),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1232, 1231])).
% 1.14/1.36 tff(1234,plain,
% 1.14/1.36 ($false),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1233, 133, 1166, 1207, 1164, 1206, 1227, 1226, 1216, 1215])).
% 1.14/1.36 tff(1235,plain,((~hskp7) | (~c1_1(a718)) | c2_1(a718) | c3_1(a718) | hskp17 | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.14/1.36 tff(1236,plain,
% 1.14/1.36 (~hskp7),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1235, 1071, 1093, 1072, 47, 1204])).
% 1.14/1.36 tff(1237,assumption,(hskp27), introduced(assumption)).
% 1.14/1.36 tff(1238,plain,
% 1.14/1.36 (((~hskp27) | (~c3_1(a780))) <=> ((~hskp27) | (~c3_1(a780)))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1239,plain,
% 1.14/1.36 (((~c3_1(a780)) | (~hskp27)) <=> ((~hskp27) | (~c3_1(a780)))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1240,axiom,((~c3_1(a780)) | (~hskp27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause94')).
% 1.14/1.36 tff(1241,plain,
% 1.14/1.36 ((~hskp27) | (~c3_1(a780))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 1.14/1.36 tff(1242,plain,
% 1.14/1.36 ((~hskp27) | (~c3_1(a780))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1241, 1238])).
% 1.14/1.36 tff(1243,plain,
% 1.14/1.36 (~c3_1(a780)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1242, 1237])).
% 1.14/1.36 tff(1244,plain,
% 1.14/1.36 (((~hskp27) | (~c1_1(a780))) <=> ((~hskp27) | (~c1_1(a780)))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1245,plain,
% 1.14/1.36 (((~c1_1(a780)) | (~hskp27)) <=> ((~hskp27) | (~c1_1(a780)))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1246,axiom,((~c1_1(a780)) | (~hskp27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause93')).
% 1.14/1.36 tff(1247,plain,
% 1.14/1.36 ((~hskp27) | (~c1_1(a780))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 1.14/1.36 tff(1248,plain,
% 1.14/1.36 ((~hskp27) | (~c1_1(a780))),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1247, 1244])).
% 1.14/1.36 tff(1249,plain,
% 1.14/1.36 (~c1_1(a780)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1248, 1237])).
% 1.14/1.36 tff(1250,plain,
% 1.14/1.36 (((~hskp27) | c2_1(a780)) <=> ((~hskp27) | c2_1(a780))),
% 1.14/1.36 inference(rewrite,[status(thm)],[])).
% 1.14/1.36 tff(1251,axiom,((~hskp27) | c2_1(a780)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause57')).
% 1.14/1.36 tff(1252,plain,
% 1.14/1.36 ((~hskp27) | c2_1(a780)),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 1.14/1.36 tff(1253,plain,
% 1.14/1.36 ((~hskp27) | c2_1(a780)),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1252, 1250])).
% 1.14/1.36 tff(1254,plain,
% 1.14/1.36 ((~hskp27) | c2_1(a780)),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1253, 1250])).
% 1.14/1.36 tff(1255,plain,
% 1.14/1.36 ((~hskp27) | c2_1(a780)),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1254, 1250])).
% 1.14/1.36 tff(1256,plain,
% 1.14/1.36 ((~hskp27) | c2_1(a780)),
% 1.14/1.36 inference(modus_ponens,[status(thm)],[1255, 1250])).
% 1.14/1.36 tff(1257,plain,
% 1.14/1.36 (c2_1(a780)),
% 1.14/1.36 inference(unit_resolution,[status(thm)],[1256, 1237])).
% 1.14/1.36 tff(1258,plain,
% 1.14/1.36 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c2_1(a780)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c2_1(a780)))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1259,plain,
% 1.20/1.36 ((hskp17 | (~ndr1_0) | c1_1(a780) | c3_1(a780) | (~c2_1(a780)) | c3_1(a734) | c1_1(a734) | c2_1(a734)) <=> (hskp17 | c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c2_1(a780)))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1260,plain,
% 1.20/1.36 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a780) | c3_1(a780) | (~c2_1(a780)) | c3_1(a734) | c1_1(a734) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c2_1(a780))))),
% 1.20/1.36 inference(monotonicity,[status(thm)],[1259])).
% 1.20/1.36 tff(1261,plain,
% 1.20/1.36 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a780) | c3_1(a780) | (~c2_1(a780)) | c3_1(a734) | c1_1(a734) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c2_1(a780)))),
% 1.20/1.36 inference(transitivity,[status(thm)],[1260, 1258])).
% 1.20/1.36 tff(1262,plain,
% 1.20/1.36 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a780) | c3_1(a780) | (~c2_1(a780)) | c3_1(a734) | c1_1(a734) | c2_1(a734))),
% 1.20/1.36 inference(quant_inst,[status(thm)],[])).
% 1.20/1.36 tff(1263,plain,
% 1.20/1.36 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c2_1(a780))),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 1.20/1.36 tff(1264,plain,
% 1.20/1.36 ($false),
% 1.20/1.36 inference(unit_resolution,[status(thm)],[1263, 133, 47, 1257, 1249, 1243, 45, 311, 540, 907])).
% 1.20/1.36 tff(1265,plain,((~hskp27) | hskp17 | c1_1(a734) | c3_1(a734) | c2_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.36 tff(1266,plain,
% 1.20/1.36 (~hskp27),
% 1.20/1.36 inference(unit_resolution,[status(thm)],[1265, 311, 45, 47, 904])).
% 1.20/1.36 tff(1267,plain,
% 1.20/1.36 (^[U: $i] : refl((hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))))),
% 1.20/1.36 inference(bind,[status(th)],[])).
% 1.20/1.36 tff(1268,plain,
% 1.20/1.36 (![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.36 inference(quant_intro,[status(thm)],[1267])).
% 1.20/1.36 tff(1269,plain,
% 1.20/1.36 (![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1270,plain,
% 1.20/1.36 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp7) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp7))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp7) <=> (hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp7) <=> (hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp7) | hskp27) <=> ((hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp27))), rewrite(((hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp27) <=> (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp7) | hskp27) <=> (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))))),
% 1.20/1.36 inference(bind,[status(th)],[])).
% 1.20/1.36 tff(1271,plain,
% 1.20/1.36 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp7) | hskp27) <=> ![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.36 inference(quant_intro,[status(thm)],[1270])).
% 1.20/1.36 tff(1272,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp7) | hskp27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause170')).
% 1.20/1.36 tff(1273,plain,
% 1.20/1.36 (![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 1.20/1.36 tff(1274,plain,
% 1.20/1.36 (![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1273, 1269])).
% 1.20/1.36 tff(1275,plain,(
% 1.20/1.36 ![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.36 inference(skolemize,[status(sab)],[1274])).
% 1.20/1.36 tff(1276,plain,
% 1.20/1.36 (![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1275, 1268])).
% 1.20/1.36 tff(1277,assumption,(hskp26), introduced(assumption)).
% 1.20/1.36 tff(1278,plain,
% 1.20/1.36 (((~hskp26) | (~c3_1(a773))) <=> ((~hskp26) | (~c3_1(a773)))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1279,plain,
% 1.20/1.36 (((~c3_1(a773)) | (~hskp26)) <=> ((~hskp26) | (~c3_1(a773)))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1280,axiom,((~c3_1(a773)) | (~hskp26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause95')).
% 1.20/1.36 tff(1281,plain,
% 1.20/1.36 ((~hskp26) | (~c3_1(a773))),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1280, 1279])).
% 1.20/1.36 tff(1282,plain,
% 1.20/1.36 ((~hskp26) | (~c3_1(a773))),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1281, 1278])).
% 1.20/1.36 tff(1283,plain,
% 1.20/1.36 (~c3_1(a773)),
% 1.20/1.36 inference(unit_resolution,[status(thm)],[1282, 1277])).
% 1.20/1.36 tff(1284,plain,
% 1.20/1.36 (((~hskp26) | c1_1(a773)) <=> ((~hskp26) | c1_1(a773))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1285,axiom,((~hskp26) | c1_1(a773)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause59')).
% 1.20/1.36 tff(1286,plain,
% 1.20/1.36 ((~hskp26) | c1_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1285, 1284])).
% 1.20/1.36 tff(1287,plain,
% 1.20/1.36 ((~hskp26) | c1_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1286, 1284])).
% 1.20/1.36 tff(1288,plain,
% 1.20/1.36 ((~hskp26) | c1_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1287, 1284])).
% 1.20/1.36 tff(1289,plain,
% 1.20/1.36 ((~hskp26) | c1_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1288, 1284])).
% 1.20/1.36 tff(1290,plain,
% 1.20/1.36 ((~hskp26) | c1_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1289, 1284])).
% 1.20/1.36 tff(1291,plain,
% 1.20/1.36 (c1_1(a773)),
% 1.20/1.36 inference(unit_resolution,[status(thm)],[1290, 1277])).
% 1.20/1.36 tff(1292,plain,
% 1.20/1.36 (((~hskp26) | c0_1(a773)) <=> ((~hskp26) | c0_1(a773))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1293,axiom,((~hskp26) | c0_1(a773)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause58')).
% 1.20/1.36 tff(1294,plain,
% 1.20/1.36 ((~hskp26) | c0_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1293, 1292])).
% 1.20/1.36 tff(1295,plain,
% 1.20/1.36 ((~hskp26) | c0_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1294, 1292])).
% 1.20/1.36 tff(1296,plain,
% 1.20/1.36 ((~hskp26) | c0_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1295, 1292])).
% 1.20/1.36 tff(1297,plain,
% 1.20/1.36 ((~hskp26) | c0_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1296, 1292])).
% 1.20/1.36 tff(1298,plain,
% 1.20/1.36 ((~hskp26) | c0_1(a773)),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1297, 1292])).
% 1.20/1.36 tff(1299,plain,
% 1.20/1.36 (c0_1(a773)),
% 1.20/1.36 inference(unit_resolution,[status(thm)],[1298, 1277])).
% 1.20/1.36 tff(1300,assumption,(~hskp7), introduced(assumption)).
% 1.20/1.36 tff(1301,assumption,(~hskp27), introduced(assumption)).
% 1.20/1.36 tff(1302,plain,
% 1.20/1.36 (((~![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp27 | hskp7 | c3_1(a773) | (~ndr1_0) | (~c0_1(a773)) | (~c1_1(a773)))) <=> ((~![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp27 | hskp7 | c3_1(a773) | (~ndr1_0) | (~c0_1(a773)) | (~c1_1(a773)))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1303,plain,
% 1.20/1.36 ((hskp27 | hskp7 | (~ndr1_0) | c3_1(a773) | (~c1_1(a773)) | (~c0_1(a773))) <=> (hskp27 | hskp7 | c3_1(a773) | (~ndr1_0) | (~c0_1(a773)) | (~c1_1(a773)))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1304,plain,
% 1.20/1.36 (((~![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp27 | hskp7 | (~ndr1_0) | c3_1(a773) | (~c1_1(a773)) | (~c0_1(a773)))) <=> ((~![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp27 | hskp7 | c3_1(a773) | (~ndr1_0) | (~c0_1(a773)) | (~c1_1(a773))))),
% 1.20/1.36 inference(monotonicity,[status(thm)],[1303])).
% 1.20/1.36 tff(1305,plain,
% 1.20/1.36 (((~![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp27 | hskp7 | (~ndr1_0) | c3_1(a773) | (~c1_1(a773)) | (~c0_1(a773)))) <=> ((~![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp27 | hskp7 | c3_1(a773) | (~ndr1_0) | (~c0_1(a773)) | (~c1_1(a773)))),
% 1.20/1.36 inference(transitivity,[status(thm)],[1304, 1302])).
% 1.20/1.36 tff(1306,plain,
% 1.20/1.36 ((~![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp27 | hskp7 | (~ndr1_0) | c3_1(a773) | (~c1_1(a773)) | (~c0_1(a773)))),
% 1.20/1.36 inference(quant_inst,[status(thm)],[])).
% 1.20/1.36 tff(1307,plain,
% 1.20/1.36 ((~![U: $i] : (hskp27 | hskp7 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp27 | hskp7 | c3_1(a773) | (~ndr1_0) | (~c0_1(a773)) | (~c1_1(a773))),
% 1.20/1.36 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 1.20/1.36 tff(1308,plain,
% 1.20/1.36 ($false),
% 1.20/1.36 inference(unit_resolution,[status(thm)],[1307, 133, 1301, 1300, 1299, 1291, 1283, 1276])).
% 1.20/1.36 tff(1309,plain,((~hskp26) | hskp27 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.20/1.36 tff(1310,plain,
% 1.20/1.36 (~hskp26),
% 1.20/1.36 inference(unit_resolution,[status(thm)],[1309, 1266, 1236])).
% 1.20/1.36 tff(1311,plain,
% 1.20/1.36 (^[U: $i] : refl((hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))) <=> (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))))),
% 1.20/1.36 inference(bind,[status(th)],[])).
% 1.20/1.36 tff(1312,plain,
% 1.20/1.36 (![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.20/1.36 inference(quant_intro,[status(thm)],[1311])).
% 1.20/1.36 tff(1313,plain,
% 1.20/1.36 (![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.20/1.36 inference(rewrite,[status(thm)],[])).
% 1.20/1.36 tff(1314,plain,
% 1.20/1.36 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp26) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))) | hskp26))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))) | hskp26) <=> (hskp26 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))), ((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp26) <=> (hskp26 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))))), (((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp26) | hskp11) <=> ((hskp26 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))) | hskp11))), rewrite(((hskp26 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))) | hskp11) <=> (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))), (((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp26) | hskp11) <=> (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))))),
% 1.20/1.37 inference(bind,[status(th)],[])).
% 1.20/1.37 tff(1315,plain,
% 1.20/1.37 (![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp26) | hskp11) <=> ![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.20/1.37 inference(quant_intro,[status(thm)],[1314])).
% 1.20/1.37 tff(1316,axiom,(![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp26) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause157')).
% 1.20/1.37 tff(1317,plain,
% 1.20/1.37 (![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 1.20/1.37 tff(1318,plain,
% 1.20/1.37 (![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1317, 1313])).
% 1.20/1.37 tff(1319,plain,(
% 1.20/1.37 ![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.20/1.37 inference(skolemize,[status(sab)],[1318])).
% 1.20/1.37 tff(1320,plain,
% 1.20/1.37 (![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1319, 1312])).
% 1.20/1.37 tff(1321,plain,
% 1.20/1.37 (((~![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp26 | hskp11 | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718))) <=> ((~![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))) | hskp26 | hskp11 | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1322,plain,
% 1.20/1.37 ((hskp26 | hskp11 | (~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718))) <=> (hskp26 | hskp11 | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1323,plain,
% 1.20/1.37 (((~![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp26 | hskp11 | (~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)))) <=> ((~![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp26 | hskp11 | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718)))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[1322])).
% 1.20/1.37 tff(1324,plain,
% 1.20/1.37 (((~![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp26 | hskp11 | (~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)))) <=> ((~![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))) | hskp26 | hskp11 | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718))),
% 1.20/1.37 inference(transitivity,[status(thm)],[1323, 1321])).
% 1.20/1.37 tff(1325,plain,
% 1.20/1.37 ((~![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp26 | hskp11 | (~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)))),
% 1.20/1.37 inference(quant_inst,[status(thm)],[])).
% 1.20/1.37 tff(1326,plain,
% 1.20/1.37 ((~![U: $i] : (hskp26 | hskp11 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))) | hskp26 | hskp11 | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1325, 1324])).
% 1.20/1.37 tff(1327,plain,
% 1.20/1.37 (hskp26 | hskp11),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1326, 133, 1071, 1093, 1320, 1072])).
% 1.20/1.37 tff(1328,plain,
% 1.20/1.37 (hskp11),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1327, 1310])).
% 1.20/1.37 tff(1329,plain,
% 1.20/1.37 (((~hskp11) | (~c0_1(a721))) <=> ((~hskp11) | (~c0_1(a721)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1330,plain,
% 1.20/1.37 (((~c0_1(a721)) | (~hskp11)) <=> ((~hskp11) | (~c0_1(a721)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1331,axiom,((~c0_1(a721)) | (~hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause116')).
% 1.20/1.37 tff(1332,plain,
% 1.20/1.37 ((~hskp11) | (~c0_1(a721))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 1.20/1.37 tff(1333,plain,
% 1.20/1.37 ((~hskp11) | (~c0_1(a721))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1332, 1329])).
% 1.20/1.37 tff(1334,plain,
% 1.20/1.37 (~c0_1(a721)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1333, 1328])).
% 1.20/1.37 tff(1335,plain,
% 1.20/1.37 (((~hskp11) | c3_1(a721)) <=> ((~hskp11) | c3_1(a721))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1336,axiom,((~hskp11) | c3_1(a721)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause82')).
% 1.20/1.37 tff(1337,plain,
% 1.20/1.37 ((~hskp11) | c3_1(a721)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 1.20/1.37 tff(1338,plain,
% 1.20/1.37 ((~hskp11) | c3_1(a721)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1337, 1335])).
% 1.20/1.37 tff(1339,plain,
% 1.20/1.37 ((~hskp11) | c3_1(a721)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1338, 1335])).
% 1.20/1.37 tff(1340,plain,
% 1.20/1.37 ((~hskp11) | c3_1(a721)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1339, 1335])).
% 1.20/1.37 tff(1341,plain,
% 1.20/1.37 ((~hskp11) | c3_1(a721)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1340, 1335])).
% 1.20/1.37 tff(1342,plain,
% 1.20/1.37 (c3_1(a721)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1341, 1328])).
% 1.20/1.37 tff(1343,plain,
% 1.20/1.37 (^[V: $i, U: $i] : refl((hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))),
% 1.20/1.37 inference(bind,[status(th)],[])).
% 1.20/1.37 tff(1344,plain,
% 1.20/1.37 (![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.37 inference(quant_intro,[status(thm)],[1343])).
% 1.20/1.37 tff(1345,plain,
% 1.20/1.37 (![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1346,plain,
% 1.20/1.37 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) | hskp31) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp31))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp31) <=> (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) | hskp31) <=> (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))))),
% 1.20/1.37 inference(bind,[status(th)],[])).
% 1.20/1.37 tff(1347,plain,
% 1.20/1.37 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) | hskp31) <=> ![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.37 inference(quant_intro,[status(thm)],[1346])).
% 1.20/1.37 tff(1348,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) | hskp31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause189')).
% 1.20/1.37 tff(1349,plain,
% 1.20/1.37 (![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 1.20/1.37 tff(1350,plain,
% 1.20/1.37 (![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1349, 1345])).
% 1.20/1.37 tff(1351,plain,(
% 1.20/1.37 ![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.37 inference(skolemize,[status(sab)],[1350])).
% 1.20/1.37 tff(1352,plain,
% 1.20/1.37 (![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1351, 1344])).
% 1.20/1.37 tff(1353,plain,
% 1.20/1.37 (((~![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp31 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)))) <=> ((~![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp31 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1354,plain,
% 1.20/1.37 ((hskp31 | (~ndr1_0) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718))) <=> (hskp31 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1355,plain,
% 1.20/1.37 (((~![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp31 | (~ndr1_0) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718)))) <=> ((~![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp31 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709))))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[1354])).
% 1.20/1.37 tff(1356,plain,
% 1.20/1.37 (((~![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp31 | (~ndr1_0) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718)))) <=> ((~![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp31 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)))),
% 1.20/1.37 inference(transitivity,[status(thm)],[1355, 1353])).
% 1.20/1.37 tff(1357,plain,
% 1.20/1.37 ((~![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp31 | (~ndr1_0) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718)))),
% 1.20/1.37 inference(quant_inst,[status(thm)],[])).
% 1.20/1.37 tff(1358,plain,
% 1.20/1.37 ((~![V: $i, U: $i] : (hskp31 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp31 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c0_1(a709))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 1.20/1.37 tff(1359,plain,
% 1.20/1.37 (hskp31),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1358, 133, 874, 866, 1071, 1070, 1093, 1352, 879])).
% 1.20/1.37 tff(1360,plain,
% 1.20/1.37 (((~hskp31) | c3_1(a723)) <=> ((~hskp31) | c3_1(a723))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1361,axiom,((~hskp31) | c3_1(a723)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause47')).
% 1.20/1.37 tff(1362,plain,
% 1.20/1.37 ((~hskp31) | c3_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1361, 1360])).
% 1.20/1.37 tff(1363,plain,
% 1.20/1.37 ((~hskp31) | c3_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1362, 1360])).
% 1.20/1.37 tff(1364,plain,
% 1.20/1.37 ((~hskp31) | c3_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1363, 1360])).
% 1.20/1.37 tff(1365,plain,
% 1.20/1.37 ((~hskp31) | c3_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1364, 1360])).
% 1.20/1.37 tff(1366,plain,
% 1.20/1.37 ((~hskp31) | c3_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1365, 1360])).
% 1.20/1.37 tff(1367,plain,
% 1.20/1.37 (c3_1(a723)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1366, 1359])).
% 1.20/1.37 tff(1368,plain,
% 1.20/1.37 (((~hskp31) | c1_1(a723)) <=> ((~hskp31) | c1_1(a723))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1369,axiom,((~hskp31) | c1_1(a723)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause46')).
% 1.20/1.37 tff(1370,plain,
% 1.20/1.37 ((~hskp31) | c1_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1369, 1368])).
% 1.20/1.37 tff(1371,plain,
% 1.20/1.37 ((~hskp31) | c1_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1370, 1368])).
% 1.20/1.37 tff(1372,plain,
% 1.20/1.37 ((~hskp31) | c1_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1371, 1368])).
% 1.20/1.37 tff(1373,plain,
% 1.20/1.37 ((~hskp31) | c1_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1372, 1368])).
% 1.20/1.37 tff(1374,plain,
% 1.20/1.37 ((~hskp31) | c1_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1373, 1368])).
% 1.20/1.37 tff(1375,plain,
% 1.20/1.37 (c1_1(a723)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1374, 1359])).
% 1.20/1.37 tff(1376,plain,
% 1.20/1.37 (((~hskp31) | c0_1(a723)) <=> ((~hskp31) | c0_1(a723))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1377,axiom,((~hskp31) | c0_1(a723)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause45')).
% 1.20/1.37 tff(1378,plain,
% 1.20/1.37 ((~hskp31) | c0_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 1.20/1.37 tff(1379,plain,
% 1.20/1.37 ((~hskp31) | c0_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1378, 1376])).
% 1.20/1.37 tff(1380,plain,
% 1.20/1.37 ((~hskp31) | c0_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1379, 1376])).
% 1.20/1.37 tff(1381,plain,
% 1.20/1.37 ((~hskp31) | c0_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1380, 1376])).
% 1.20/1.37 tff(1382,plain,
% 1.20/1.37 ((~hskp31) | c0_1(a723)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1381, 1376])).
% 1.20/1.37 tff(1383,plain,
% 1.20/1.37 (c0_1(a723)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1382, 1359])).
% 1.20/1.37 tff(1384,plain,
% 1.20/1.37 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a723)) | (~c0_1(a723)) | (~c3_1(a723)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a723)) | (~c0_1(a723)) | (~c3_1(a723)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1385,plain,
% 1.20/1.37 (((~ndr1_0) | (~c3_1(a723)) | (~c1_1(a723)) | (~c0_1(a723)) | c0_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c3_1(a734) | c1_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a723)) | (~c0_1(a723)) | (~c3_1(a723)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1386,plain,
% 1.20/1.37 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c3_1(a723)) | (~c1_1(a723)) | (~c0_1(a723)) | c0_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a723)) | (~c0_1(a723)) | (~c3_1(a723))))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[1385])).
% 1.20/1.37 tff(1387,plain,
% 1.20/1.37 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c3_1(a723)) | (~c1_1(a723)) | (~c0_1(a723)) | c0_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a723)) | (~c0_1(a723)) | (~c3_1(a723)))),
% 1.20/1.37 inference(transitivity,[status(thm)],[1386, 1384])).
% 1.20/1.37 tff(1388,plain,
% 1.20/1.37 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c3_1(a723)) | (~c1_1(a723)) | (~c0_1(a723)) | c0_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c3_1(a734) | c1_1(a734) | c0_1(a734))),
% 1.20/1.37 inference(quant_inst,[status(thm)],[])).
% 1.20/1.37 tff(1389,plain,
% 1.20/1.37 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a723)) | (~c0_1(a723)) | (~c3_1(a723))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1388, 1387])).
% 1.20/1.37 tff(1390,plain,
% 1.20/1.37 (~c2_1(a721)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1389, 133, 1383, 1375, 1367, 1342, 46, 45, 311, 1334, 1092])).
% 1.20/1.37 tff(1391,plain,
% 1.20/1.37 (((~hskp11) | (~c1_1(a721))) <=> ((~hskp11) | (~c1_1(a721)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1392,plain,
% 1.20/1.37 (((~c1_1(a721)) | (~hskp11)) <=> ((~hskp11) | (~c1_1(a721)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1393,axiom,((~c1_1(a721)) | (~hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause117')).
% 1.20/1.37 tff(1394,plain,
% 1.20/1.37 ((~hskp11) | (~c1_1(a721))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 1.20/1.37 tff(1395,plain,
% 1.20/1.37 ((~hskp11) | (~c1_1(a721))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1394, 1391])).
% 1.20/1.37 tff(1396,plain,
% 1.20/1.37 (~c1_1(a721)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1395, 1328])).
% 1.20/1.37 tff(1397,plain,
% 1.20/1.37 (hskp15),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[737, 133, 47, 1071, 1070, 660, 1072])).
% 1.20/1.37 tff(1398,plain,
% 1.20/1.37 (~c3_1(a731)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[595, 1397])).
% 1.20/1.37 tff(1399,plain,
% 1.20/1.37 (c2_1(a731)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[610, 1397])).
% 1.20/1.37 tff(1400,plain,
% 1.20/1.37 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a731) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721) | (~c2_1(a731)) | (~c1_1(a731)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a731) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721) | (~c2_1(a731)) | (~c1_1(a731)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1401,plain,
% 1.20/1.37 (((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a721) | c2_1(a721) | (~c3_1(a721))) <=> (c3_1(a731) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721) | (~c2_1(a731)) | (~c1_1(a731)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1402,plain,
% 1.20/1.37 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a721) | c2_1(a721) | (~c3_1(a721)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a731) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721) | (~c2_1(a731)) | (~c1_1(a731))))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[1401])).
% 1.20/1.37 tff(1403,plain,
% 1.20/1.37 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a721) | c2_1(a721) | (~c3_1(a721)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a731) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721) | (~c2_1(a731)) | (~c1_1(a731)))),
% 1.20/1.37 inference(transitivity,[status(thm)],[1402, 1400])).
% 1.20/1.37 tff(1404,plain,
% 1.20/1.37 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a731) | (~c2_1(a731)) | (~c1_1(a731)) | c1_1(a721) | c2_1(a721) | (~c3_1(a721)))),
% 1.20/1.37 inference(quant_inst,[status(thm)],[])).
% 1.20/1.37 tff(1405,plain,
% 1.20/1.37 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a731) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721) | (~c2_1(a731)) | (~c1_1(a731))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1404, 1403])).
% 1.20/1.37 tff(1406,plain,
% 1.20/1.37 (~c1_1(a731)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1405, 133, 1399, 1342, 1398, 1396, 58, 1390])).
% 1.20/1.37 tff(1407,plain,
% 1.20/1.37 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | c1_1(a731))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | c1_1(a731))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1408,plain,
% 1.20/1.37 ((hskp24 | hskp18 | (~ndr1_0) | c1_1(a731) | c3_1(a731) | (~c2_1(a731))) <=> (hskp24 | hskp18 | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | c1_1(a731))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1409,plain,
% 1.20/1.37 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a731) | c3_1(a731) | (~c2_1(a731)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | c1_1(a731)))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[1408])).
% 1.20/1.37 tff(1410,plain,
% 1.20/1.37 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a731) | c3_1(a731) | (~c2_1(a731)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | c1_1(a731))),
% 1.20/1.37 inference(transitivity,[status(thm)],[1409, 1407])).
% 1.20/1.37 tff(1411,plain,
% 1.20/1.37 ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a731) | c3_1(a731) | (~c2_1(a731)))),
% 1.20/1.37 inference(quant_inst,[status(thm)],[])).
% 1.20/1.37 tff(1412,plain,
% 1.20/1.37 ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c3_1(a731) | (~ndr1_0) | (~c2_1(a731)) | c1_1(a731)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 1.20/1.37 tff(1413,plain,
% 1.20/1.37 (hskp24 | c1_1(a731)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1412, 133, 34, 1399, 1398, 261])).
% 1.20/1.37 tff(1414,plain,
% 1.20/1.37 (hskp24),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1413, 1406])).
% 1.20/1.37 tff(1415,plain,
% 1.20/1.37 (~c2_1(a762)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[273, 1414])).
% 1.20/1.37 tff(1416,plain,
% 1.20/1.37 (c3_1(a762)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[281, 1414])).
% 1.20/1.37 tff(1417,plain,
% 1.20/1.37 (c0_1(a762)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[289, 1414])).
% 1.20/1.37 tff(1418,plain,
% 1.20/1.37 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | c2_1(a762) | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | (~c0_1(a762)) | (~c3_1(a762)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp16 | c2_1(a762) | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | (~c0_1(a762)) | (~c3_1(a762)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1419,plain,
% 1.20/1.37 ((hskp16 | (~ndr1_0) | c2_1(a762) | (~c3_1(a762)) | (~c0_1(a762)) | c3_1(a718) | c0_1(a718) | (~c1_1(a718))) <=> (hskp16 | c2_1(a762) | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | (~c0_1(a762)) | (~c3_1(a762)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1420,plain,
% 1.20/1.37 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c2_1(a762) | (~c3_1(a762)) | (~c0_1(a762)) | c3_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | c2_1(a762) | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | (~c0_1(a762)) | (~c3_1(a762))))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[1419])).
% 1.20/1.37 tff(1421,plain,
% 1.20/1.37 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c2_1(a762) | (~c3_1(a762)) | (~c0_1(a762)) | c3_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp16 | c2_1(a762) | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | (~c0_1(a762)) | (~c3_1(a762)))),
% 1.20/1.37 inference(transitivity,[status(thm)],[1420, 1418])).
% 1.20/1.37 tff(1422,plain,
% 1.20/1.37 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c2_1(a762) | (~c3_1(a762)) | (~c0_1(a762)) | c3_1(a718) | c0_1(a718) | (~c1_1(a718)))),
% 1.20/1.37 inference(quant_inst,[status(thm)],[])).
% 1.20/1.37 tff(1423,plain,
% 1.20/1.37 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp16 | c2_1(a762) | c0_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | (~c0_1(a762)) | (~c3_1(a762))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1422, 1421])).
% 1.20/1.37 tff(1424,plain,
% 1.20/1.37 ($false),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1423, 133, 1204, 1417, 1416, 1071, 1415, 1070, 1082, 1072])).
% 1.20/1.37 tff(1425,plain,(c3_1(a734) | hskp18 | c0_1(a734) | c1_1(a734) | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.20/1.37 tff(1426,plain,
% 1.20/1.37 (c3_1(a734)),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1425, 47, 46, 45, 34])).
% 1.20/1.37 tff(1427,plain,
% 1.20/1.37 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))))),
% 1.20/1.37 inference(bind,[status(th)],[])).
% 1.20/1.37 tff(1428,plain,
% 1.20/1.37 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.37 inference(quant_intro,[status(thm)],[1427])).
% 1.20/1.37 tff(1429,plain,
% 1.20/1.37 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(1430,plain,
% 1.20/1.37 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W))))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W))) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c2_1(W)))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c2_1(W))))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))))),
% 1.20/1.37 inference(bind,[status(th)],[])).
% 1.20/1.37 tff(1431,plain,
% 1.20/1.37 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(V)) | c0_1(W)) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.37 inference(quant_intro,[status(thm)],[1430])).
% 1.20/1.37 tff(1432,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(V)) | c0_1(W)) | c1_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause205')).
% 1.20/1.37 tff(1433,plain,
% 1.20/1.37 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 1.20/1.37 tff(1434,plain,
% 1.20/1.37 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1433, 1429])).
% 1.20/1.38 tff(1435,plain,(
% 1.20/1.38 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.38 inference(skolemize,[status(sab)],[1434])).
% 1.20/1.38 tff(1436,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1435, 1428])).
% 1.20/1.38 tff(1437,plain,
% 1.20/1.38 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1438,plain,
% 1.20/1.38 (((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734))) <=> (c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1439,plain,
% 1.20/1.38 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709))))),
% 1.20/1.38 inference(monotonicity,[status(thm)],[1438])).
% 1.20/1.38 tff(1440,plain,
% 1.20/1.38 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.20/1.38 inference(transitivity,[status(thm)],[1439, 1437])).
% 1.20/1.38 tff(1441,plain,
% 1.20/1.38 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))),
% 1.20/1.38 inference(quant_inst,[status(thm)],[])).
% 1.20/1.38 tff(1442,plain,
% 1.20/1.38 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 1.20/1.38 tff(1443,plain,
% 1.20/1.38 (c0_1(a734) | (~c3_1(a734)) | (~c2_1(a734))),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1442, 133, 874, 897, 866, 45, 1436])).
% 1.20/1.38 tff(1444,plain,
% 1.20/1.38 (~c2_1(a734)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1443, 1426, 46])).
% 1.20/1.38 tff(1445,plain,
% 1.20/1.38 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1446,plain,
% 1.20/1.38 ((hskp17 | hskp14 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | (~c3_1(a734))) <=> (hskp17 | hskp14 | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1447,plain,
% 1.20/1.38 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | (~c3_1(a734)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734)))),
% 1.20/1.38 inference(monotonicity,[status(thm)],[1446])).
% 1.20/1.38 tff(1448,plain,
% 1.20/1.38 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | (~c3_1(a734)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734))),
% 1.20/1.38 inference(transitivity,[status(thm)],[1447, 1445])).
% 1.20/1.38 tff(1449,plain,
% 1.20/1.38 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | (~c3_1(a734)))),
% 1.20/1.38 inference(quant_inst,[status(thm)],[])).
% 1.20/1.38 tff(1450,plain,
% 1.20/1.38 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734)),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 1.20/1.38 tff(1451,plain,
% 1.20/1.38 (hskp17 | hskp14 | (~c3_1(a734)) | c2_1(a734)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1450, 133, 45, 101])).
% 1.20/1.38 tff(1452,plain,
% 1.20/1.38 (hskp14),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1451, 1426, 47, 1444])).
% 1.20/1.38 tff(1453,plain,
% 1.20/1.38 (~c2_1(a730)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[169, 1452])).
% 1.20/1.38 tff(1454,plain,
% 1.20/1.38 (c1_1(a730)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[156, 1452])).
% 1.20/1.38 tff(1455,plain,
% 1.20/1.38 (hskp8),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[981, 1454, 34, 1453, 47])).
% 1.20/1.38 tff(1456,plain,
% 1.20/1.38 (~c0_1(a718)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[32, 1455])).
% 1.20/1.38 tff(1457,plain,
% 1.20/1.38 (c1_1(a718)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[722, 1455])).
% 1.20/1.38 tff(1458,plain,
% 1.20/1.38 (~c3_1(a718)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[729, 133, 34, 47, 1457, 1456, 44])).
% 1.20/1.38 tff(1459,plain,
% 1.20/1.38 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)))),
% 1.20/1.38 inference(bind,[status(th)],[])).
% 1.20/1.38 tff(1460,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.20/1.38 inference(quant_intro,[status(thm)],[1459])).
% 1.20/1.38 tff(1461,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1462,plain,
% 1.20/1.38 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c0_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c0_1(W))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c0_1(W)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c0_1(W)) | c2_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c2_1(W) | c0_1(W))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c2_1(W) | c0_1(W)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) | c3_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c2_1(W) | c0_1(W)) | c3_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c2_1(W) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) | c3_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) | c3_1(W)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) | c3_1(W)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) | c3_1(W)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) | c3_1(W)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))))),
% 1.20/1.38 inference(bind,[status(th)],[])).
% 1.20/1.38 tff(1463,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) | c3_1(W)) | c0_1(V)) | c1_1(V)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.20/1.38 inference(quant_intro,[status(thm)],[1462])).
% 1.20/1.38 tff(1464,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(W)) | c2_1(W)) | c3_1(W)) | c0_1(V)) | c1_1(V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause199')).
% 1.20/1.38 tff(1465,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 1.20/1.38 tff(1466,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1465, 1461])).
% 1.20/1.38 tff(1467,plain,(
% 1.20/1.38 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.20/1.38 inference(skolemize,[status(sab)],[1466])).
% 1.20/1.38 tff(1468,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1467, 1460])).
% 1.20/1.38 tff(1469,plain,
% 1.20/1.38 (c3_1(a730)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[148, 1452])).
% 1.20/1.38 tff(1470,plain,
% 1.20/1.38 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c3_1(a730)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c3_1(a730)))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1471,plain,
% 1.20/1.38 ((hskp6 | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a730)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734))) <=> (hskp6 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c3_1(a730)))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1472,plain,
% 1.20/1.38 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a730)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c3_1(a730))))),
% 1.20/1.38 inference(monotonicity,[status(thm)],[1471])).
% 1.20/1.38 tff(1473,plain,
% 1.20/1.38 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a730)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c3_1(a730)))),
% 1.20/1.38 inference(transitivity,[status(thm)],[1472, 1470])).
% 1.20/1.38 tff(1474,plain,
% 1.20/1.38 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a730)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)))),
% 1.20/1.38 inference(quant_inst,[status(thm)],[])).
% 1.20/1.38 tff(1475,plain,
% 1.20/1.38 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c3_1(a730))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 1.20/1.38 tff(1476,plain,
% 1.20/1.38 (hskp6),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1475, 133, 1454, 1469, 46, 45, 1426, 1453, 804])).
% 1.20/1.38 tff(1477,plain,
% 1.20/1.38 (~c3_1(a716)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[235, 1476])).
% 1.20/1.38 tff(1478,plain,
% 1.20/1.38 (~c2_1(a718)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[26, 1455])).
% 1.20/1.38 tff(1479,plain,
% 1.20/1.38 (c2_1(a716)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[243, 1476])).
% 1.20/1.38 tff(1480,plain,
% 1.20/1.38 (c0_1(a716)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[514, 1476])).
% 1.20/1.38 tff(1481,plain,
% 1.20/1.38 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a718))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a718))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1482,plain,
% 1.20/1.38 (((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)) | c3_1(a718) | c2_1(a718) | c0_1(a718)) <=> (c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a718))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1483,plain,
% 1.20/1.38 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)) | c3_1(a718) | c2_1(a718) | c0_1(a718))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a718)))),
% 1.20/1.38 inference(monotonicity,[status(thm)],[1482])).
% 1.20/1.38 tff(1484,plain,
% 1.20/1.38 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)) | c3_1(a718) | c2_1(a718) | c0_1(a718))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a718))),
% 1.20/1.38 inference(transitivity,[status(thm)],[1483, 1481])).
% 1.20/1.38 tff(1485,plain,
% 1.20/1.38 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c1_1(a734) | c0_1(a734) | (~c3_1(a734)) | c3_1(a718) | c2_1(a718) | c0_1(a718))),
% 1.20/1.38 inference(quant_inst,[status(thm)],[])).
% 1.20/1.38 tff(1486,plain,
% 1.20/1.38 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | c3_1(a718)),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 1.20/1.38 tff(1487,plain,
% 1.20/1.38 ($false),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1486, 133, 1480, 1479, 46, 45, 1426, 1456, 1478, 1477, 1468, 1458])).
% 1.20/1.38 tff(1488,plain,(hskp17 | c0_1(a734) | c1_1(a734) | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.20/1.38 tff(1489,plain,
% 1.20/1.38 (hskp17),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1488, 46, 45, 34])).
% 1.20/1.38 tff(1490,plain,
% 1.20/1.38 (~c3_1(a734)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[466, 1489])).
% 1.20/1.38 tff(1491,plain,
% 1.20/1.38 (^[U: $i] : refl((hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))),
% 1.20/1.38 inference(bind,[status(th)],[])).
% 1.20/1.38 tff(1492,plain,
% 1.20/1.38 (![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.38 inference(quant_intro,[status(thm)],[1491])).
% 1.20/1.38 tff(1493,plain,
% 1.20/1.38 (![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1494,plain,
% 1.20/1.38 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp1) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp1))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp1) <=> (hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp1) <=> (hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp1) | hskp8) <=> ((hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp8))), rewrite(((hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp8) <=> (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp1) | hskp8) <=> (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))))),
% 1.20/1.38 inference(bind,[status(th)],[])).
% 1.20/1.38 tff(1495,plain,
% 1.20/1.38 (![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp1) | hskp8) <=> ![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.38 inference(quant_intro,[status(thm)],[1494])).
% 1.20/1.38 tff(1496,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp1) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause160')).
% 1.20/1.38 tff(1497,plain,
% 1.20/1.38 (![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1496, 1495])).
% 1.20/1.38 tff(1498,plain,
% 1.20/1.38 (![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1497, 1493])).
% 1.20/1.38 tff(1499,plain,(
% 1.20/1.38 ![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.38 inference(skolemize,[status(sab)],[1498])).
% 1.20/1.38 tff(1500,plain,
% 1.20/1.38 (![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1499, 1492])).
% 1.20/1.38 tff(1501,assumption,(~c3_1(a716)), introduced(assumption)).
% 1.20/1.38 tff(1502,assumption,(hskp11), introduced(assumption)).
% 1.20/1.38 tff(1503,plain,
% 1.20/1.38 (~c1_1(a721)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1395, 1502])).
% 1.20/1.38 tff(1504,plain,
% 1.20/1.38 (~c0_1(a721)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1333, 1502])).
% 1.20/1.38 tff(1505,assumption,(c2_1(a716)), introduced(assumption)).
% 1.20/1.38 tff(1506,assumption,(c0_1(a716)), introduced(assumption)).
% 1.20/1.38 tff(1507,plain,
% 1.20/1.38 (c3_1(a721)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1341, 1502])).
% 1.20/1.38 tff(1508,plain,
% 1.20/1.38 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c0_1(a721) | c1_1(a721) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c3_1(a721)) | c2_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c0_1(a721) | c1_1(a721) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c3_1(a721)) | c2_1(a734))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1509,plain,
% 1.20/1.38 (((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c3_1(a734) | c2_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c3_1(a734) | c0_1(a721) | c1_1(a721) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c3_1(a721)) | c2_1(a734))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1510,plain,
% 1.20/1.38 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c0_1(a721) | c1_1(a721) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c3_1(a721)) | c2_1(a734)))),
% 1.20/1.38 inference(monotonicity,[status(thm)],[1509])).
% 1.20/1.38 tff(1511,plain,
% 1.20/1.38 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c0_1(a721) | c1_1(a721) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c3_1(a721)) | c2_1(a734))),
% 1.20/1.38 inference(transitivity,[status(thm)],[1510, 1508])).
% 1.20/1.38 tff(1512,plain,
% 1.20/1.38 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c3_1(a734) | c2_1(a734) | c0_1(a734))),
% 1.20/1.38 inference(quant_inst,[status(thm)],[])).
% 1.20/1.38 tff(1513,plain,
% 1.20/1.38 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c0_1(a721) | c1_1(a721) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c3_1(a721)) | c2_1(a734)),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 1.20/1.38 tff(1514,plain,
% 1.20/1.38 ($false),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1513, 133, 1507, 1506, 1505, 46, 311, 1504, 1503, 1501, 1468, 907])).
% 1.20/1.38 tff(1515,plain,((~hskp11) | (~c0_1(a716)) | (~c2_1(a716)) | c0_1(a734) | c3_1(a734) | c3_1(a716) | c2_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.38 tff(1516,plain,
% 1.20/1.38 (~hskp11),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[1515, 907, 311, 46, 1004, 906, 1005])).
% 1.20/1.38 tff(1517,plain,
% 1.20/1.38 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W))))),
% 1.20/1.38 inference(bind,[status(th)],[])).
% 1.20/1.38 tff(1518,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))),
% 1.20/1.38 inference(quant_intro,[status(thm)],[1517])).
% 1.20/1.38 tff(1519,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1520,plain,
% 1.20/1.38 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) <=> ((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W)) | (~c3_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W)) | (~c3_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c3_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W)) | (~c3_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W)) | (~c3_1(W))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W)) | (~c3_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W)) | (~c3_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | (~c2_1(W)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))))),
% 1.20/1.38 inference(bind,[status(th)],[])).
% 1.20/1.38 tff(1521,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c3_1(V)) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))),
% 1.20/1.38 inference(quant_intro,[status(thm)],[1520])).
% 1.20/1.38 tff(1522,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c3_1(V)) | c0_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause208')).
% 1.20/1.38 tff(1523,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 1.20/1.38 tff(1524,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1523, 1519])).
% 1.20/1.38 tff(1525,plain,(
% 1.20/1.38 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))),
% 1.20/1.38 inference(skolemize,[status(sab)],[1524])).
% 1.20/1.38 tff(1526,plain,
% 1.20/1.38 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1525, 1518])).
% 1.20/1.38 tff(1527,plain,
% 1.20/1.38 (^[U: $i] : refl((hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))),
% 1.20/1.38 inference(bind,[status(th)],[])).
% 1.20/1.38 tff(1528,plain,
% 1.20/1.38 (![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.38 inference(quant_intro,[status(thm)],[1527])).
% 1.20/1.38 tff(1529,plain,
% 1.20/1.38 (![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.38 inference(rewrite,[status(thm)],[])).
% 1.20/1.38 tff(1530,plain,
% 1.20/1.38 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c3_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U))))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp30))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp30) <=> (hskp30 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) <=> (hskp30 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) | hskp7) <=> ((hskp30 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp7))), rewrite(((hskp30 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp7) <=> (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) | hskp7) <=> (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))))),
% 1.20/1.38 inference(bind,[status(th)],[])).
% 1.20/1.38 tff(1531,plain,
% 1.20/1.38 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) | hskp7) <=> ![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.38 inference(quant_intro,[status(thm)],[1530])).
% 1.20/1.38 tff(1532,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) | hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause148')).
% 1.20/1.38 tff(1533,plain,
% 1.20/1.38 (![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 1.20/1.38 tff(1534,plain,
% 1.20/1.38 (![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1533, 1529])).
% 1.20/1.38 tff(1535,plain,(
% 1.20/1.38 ![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.38 inference(skolemize,[status(sab)],[1534])).
% 1.20/1.38 tff(1536,plain,
% 1.20/1.38 (![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.38 inference(modus_ponens,[status(thm)],[1535, 1528])).
% 1.20/1.38 tff(1537,plain,
% 1.20/1.38 (hskp14),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[994, 1300, 83])).
% 1.20/1.38 tff(1538,plain,
% 1.20/1.38 (~c2_1(a730)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[169, 1537])).
% 1.20/1.38 tff(1539,plain,
% 1.20/1.38 (c3_1(a730)),
% 1.20/1.38 inference(unit_resolution,[status(thm)],[148, 1537])).
% 1.20/1.39 tff(1540,plain,
% 1.20/1.39 (((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | c2_1(a730) | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp7 | c2_1(a730) | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1541,plain,
% 1.20/1.39 ((hskp30 | hskp7 | (~ndr1_0) | c2_1(a730) | c0_1(a730) | (~c3_1(a730))) <=> (hskp30 | hskp7 | c2_1(a730) | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1542,plain,
% 1.20/1.39 (((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | (~ndr1_0) | c2_1(a730) | c0_1(a730) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | c2_1(a730) | (~ndr1_0) | c0_1(a730) | (~c3_1(a730))))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[1541])).
% 1.20/1.39 tff(1543,plain,
% 1.20/1.39 (((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | (~ndr1_0) | c2_1(a730) | c0_1(a730) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp7 | c2_1(a730) | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)))),
% 1.20/1.39 inference(transitivity,[status(thm)],[1542, 1540])).
% 1.20/1.39 tff(1544,plain,
% 1.20/1.39 ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | (~ndr1_0) | c2_1(a730) | c0_1(a730) | (~c3_1(a730)))),
% 1.20/1.39 inference(quant_inst,[status(thm)],[])).
% 1.20/1.39 tff(1545,plain,
% 1.20/1.39 ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp7 | c2_1(a730) | (~ndr1_0) | c0_1(a730) | (~c3_1(a730))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1544, 1543])).
% 1.20/1.39 tff(1546,plain,
% 1.20/1.39 (hskp30 | c0_1(a730)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1545, 133, 1300, 1539, 1538, 1536])).
% 1.20/1.39 tff(1547,plain,
% 1.20/1.39 (c0_1(a730)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1546, 1104])).
% 1.20/1.39 tff(1548,plain,
% 1.20/1.39 (c1_1(a730)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[156, 1537])).
% 1.20/1.39 tff(1549,plain,
% 1.20/1.39 (hskp19 | (~c0_1(a730))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[176, 133, 83, 1548, 1538, 10])).
% 1.20/1.39 tff(1550,plain,
% 1.20/1.39 (hskp19),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1549, 1547])).
% 1.20/1.39 tff(1551,plain,
% 1.20/1.39 (~c0_1(a741)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[183, 1550])).
% 1.20/1.39 tff(1552,plain,
% 1.20/1.39 (c3_1(a741)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[191, 1550])).
% 1.20/1.39 tff(1553,assumption,(~hskp11), introduced(assumption)).
% 1.20/1.39 tff(1554,plain,
% 1.20/1.39 ((hskp22 | hskp11 | hskp8) <=> (hskp22 | hskp11 | hskp8)),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1555,plain,
% 1.20/1.39 (((hskp22 | hskp8) | hskp11) <=> (hskp22 | hskp11 | hskp8)),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1556,axiom,((hskp22 | hskp8) | hskp11), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause43')).
% 1.20/1.39 tff(1557,plain,
% 1.20/1.39 (hskp22 | hskp11 | hskp8),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 1.20/1.39 tff(1558,plain,
% 1.20/1.39 (hskp22 | hskp11 | hskp8),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1557, 1554])).
% 1.20/1.39 tff(1559,plain,
% 1.20/1.39 (hskp22 | hskp11 | hskp8),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1558, 1554])).
% 1.20/1.39 tff(1560,plain,
% 1.20/1.39 (hskp22 | hskp11 | hskp8),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1559, 1554])).
% 1.20/1.39 tff(1561,plain,
% 1.20/1.39 (hskp22 | hskp11 | hskp8),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1560, 1554])).
% 1.20/1.39 tff(1562,plain,
% 1.20/1.39 (hskp22),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1561, 1553, 83])).
% 1.20/1.39 tff(1563,plain,
% 1.20/1.39 (((~hskp22) | (~c3_1(a756))) <=> ((~hskp22) | (~c3_1(a756)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1564,plain,
% 1.20/1.39 (((~c3_1(a756)) | (~hskp22)) <=> ((~hskp22) | (~c3_1(a756)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1565,axiom,((~c3_1(a756)) | (~hskp22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause99')).
% 1.20/1.39 tff(1566,plain,
% 1.20/1.39 ((~hskp22) | (~c3_1(a756))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1565, 1564])).
% 1.20/1.39 tff(1567,plain,
% 1.20/1.39 ((~hskp22) | (~c3_1(a756))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1566, 1563])).
% 1.20/1.39 tff(1568,plain,
% 1.20/1.39 (~c3_1(a756)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1567, 1562])).
% 1.20/1.39 tff(1569,plain,
% 1.20/1.39 (((~hskp22) | c2_1(a756)) <=> ((~hskp22) | c2_1(a756))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1570,axiom,((~hskp22) | c2_1(a756)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause67')).
% 1.20/1.39 tff(1571,plain,
% 1.20/1.39 ((~hskp22) | c2_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 1.20/1.39 tff(1572,plain,
% 1.20/1.39 ((~hskp22) | c2_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1571, 1569])).
% 1.20/1.39 tff(1573,plain,
% 1.20/1.39 ((~hskp22) | c2_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1572, 1569])).
% 1.20/1.39 tff(1574,plain,
% 1.20/1.39 ((~hskp22) | c2_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1573, 1569])).
% 1.20/1.39 tff(1575,plain,
% 1.20/1.39 ((~hskp22) | c2_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1574, 1569])).
% 1.20/1.39 tff(1576,plain,
% 1.20/1.39 (c2_1(a756)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1575, 1562])).
% 1.20/1.39 tff(1577,plain,
% 1.20/1.39 (((~hskp22) | c1_1(a756)) <=> ((~hskp22) | c1_1(a756))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1578,axiom,((~hskp22) | c1_1(a756)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause66')).
% 1.20/1.39 tff(1579,plain,
% 1.20/1.39 ((~hskp22) | c1_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 1.20/1.39 tff(1580,plain,
% 1.20/1.39 ((~hskp22) | c1_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1579, 1577])).
% 1.20/1.39 tff(1581,plain,
% 1.20/1.39 ((~hskp22) | c1_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1580, 1577])).
% 1.20/1.39 tff(1582,plain,
% 1.20/1.39 ((~hskp22) | c1_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1581, 1577])).
% 1.20/1.39 tff(1583,plain,
% 1.20/1.39 ((~hskp22) | c1_1(a756)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1582, 1577])).
% 1.20/1.39 tff(1584,plain,
% 1.20/1.39 (c1_1(a756)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1583, 1562])).
% 1.20/1.39 tff(1585,plain,
% 1.20/1.39 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | (c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)) | (~c2_1(a756)) | (~c0_1(a756)) | (~c1_1(a756)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)) | (~c2_1(a756)) | (~c0_1(a756)) | (~c1_1(a756)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1586,plain,
% 1.20/1.39 (((~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c0_1(a756)) | c3_1(a756) | (~c1_1(a756)) | (~c0_1(a756)) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730))) <=> (c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)) | (~c2_1(a756)) | (~c0_1(a756)) | (~c1_1(a756)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1587,plain,
% 1.20/1.39 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c0_1(a756)) | c3_1(a756) | (~c1_1(a756)) | (~c0_1(a756)) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | (c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)) | (~c2_1(a756)) | (~c0_1(a756)) | (~c1_1(a756))))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[1586])).
% 1.20/1.39 tff(1588,plain,
% 1.20/1.39 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c0_1(a756)) | c3_1(a756) | (~c1_1(a756)) | (~c0_1(a756)) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)) | (~c2_1(a756)) | (~c0_1(a756)) | (~c1_1(a756)))),
% 1.20/1.39 inference(transitivity,[status(thm)],[1587, 1585])).
% 1.20/1.39 tff(1589,plain,
% 1.20/1.39 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c0_1(a756)) | c3_1(a756) | (~c1_1(a756)) | (~c0_1(a756)) | c2_1(a730) | (~c1_1(a730)) | (~c0_1(a730)))),
% 1.20/1.39 inference(quant_inst,[status(thm)],[])).
% 1.20/1.39 tff(1590,plain,
% 1.20/1.39 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c2_1(W) | (~c1_1(W)) | (~c0_1(W)))) | c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | (~c0_1(a730)) | (~c2_1(a756)) | (~c0_1(a756)) | (~c1_1(a756))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 1.20/1.39 tff(1591,plain,
% 1.20/1.39 ((~c0_1(a730)) | (~c0_1(a756))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1590, 133, 1584, 1576, 1548, 1568, 1538, 482])).
% 1.20/1.39 tff(1592,plain,
% 1.20/1.39 (~c0_1(a756)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1591, 1547])).
% 1.20/1.39 tff(1593,plain,
% 1.20/1.39 (^[U: $i] : refl((hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))))),
% 1.20/1.39 inference(bind,[status(th)],[])).
% 1.20/1.39 tff(1594,plain,
% 1.20/1.39 (![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.39 inference(quant_intro,[status(thm)],[1593])).
% 1.20/1.39 tff(1595,plain,
% 1.20/1.39 (![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1596,plain,
% 1.20/1.39 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp28) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp28))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp28) <=> (hskp28 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp28) <=> (hskp28 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp28) | hskp18) <=> ((hskp28 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp18))), rewrite(((hskp28 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp18) <=> (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp28) | hskp18) <=> (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))))),
% 1.20/1.39 inference(bind,[status(th)],[])).
% 1.20/1.39 tff(1597,plain,
% 1.20/1.39 (![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp28) | hskp18) <=> ![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.39 inference(quant_intro,[status(thm)],[1596])).
% 1.20/1.39 tff(1598,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp28) | hskp18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause159')).
% 1.20/1.39 tff(1599,plain,
% 1.20/1.39 (![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 1.20/1.39 tff(1600,plain,
% 1.20/1.39 (![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1599, 1595])).
% 1.20/1.39 tff(1601,plain,(
% 1.20/1.39 ![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.39 inference(skolemize,[status(sab)],[1600])).
% 1.20/1.39 tff(1602,plain,
% 1.20/1.39 (![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1601, 1594])).
% 1.20/1.39 tff(1603,plain,
% 1.20/1.39 (((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | (~c2_1(a756)) | c0_1(a756) | (~c1_1(a756)))) <=> ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp28 | hskp18 | (~ndr1_0) | (~c2_1(a756)) | c0_1(a756) | (~c1_1(a756)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1604,plain,
% 1.20/1.39 ((hskp28 | hskp18 | (~ndr1_0) | c0_1(a756) | (~c2_1(a756)) | (~c1_1(a756))) <=> (hskp28 | hskp18 | (~ndr1_0) | (~c2_1(a756)) | c0_1(a756) | (~c1_1(a756)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1605,plain,
% 1.20/1.39 (((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | c0_1(a756) | (~c2_1(a756)) | (~c1_1(a756)))) <=> ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | (~c2_1(a756)) | c0_1(a756) | (~c1_1(a756))))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[1604])).
% 1.20/1.39 tff(1606,plain,
% 1.20/1.39 (((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | c0_1(a756) | (~c2_1(a756)) | (~c1_1(a756)))) <=> ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp28 | hskp18 | (~ndr1_0) | (~c2_1(a756)) | c0_1(a756) | (~c1_1(a756)))),
% 1.20/1.39 inference(transitivity,[status(thm)],[1605, 1603])).
% 1.20/1.39 tff(1607,plain,
% 1.20/1.39 ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | c0_1(a756) | (~c2_1(a756)) | (~c1_1(a756)))),
% 1.20/1.39 inference(quant_inst,[status(thm)],[])).
% 1.20/1.39 tff(1608,plain,
% 1.20/1.39 ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp28 | hskp18 | (~ndr1_0) | (~c2_1(a756)) | c0_1(a756) | (~c1_1(a756))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 1.20/1.39 tff(1609,plain,
% 1.20/1.39 (hskp28 | c0_1(a756)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1608, 133, 34, 1584, 1576, 1602])).
% 1.20/1.39 tff(1610,plain,
% 1.20/1.39 (hskp28),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1609, 1592])).
% 1.20/1.39 tff(1611,plain,
% 1.20/1.39 (((~hskp28) | c2_1(a705)) <=> ((~hskp28) | c2_1(a705))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1612,axiom,((~hskp28) | c2_1(a705)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause56')).
% 1.20/1.39 tff(1613,plain,
% 1.20/1.39 ((~hskp28) | c2_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 1.20/1.39 tff(1614,plain,
% 1.20/1.39 ((~hskp28) | c2_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1613, 1611])).
% 1.20/1.39 tff(1615,plain,
% 1.20/1.39 ((~hskp28) | c2_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1614, 1611])).
% 1.20/1.39 tff(1616,plain,
% 1.20/1.39 ((~hskp28) | c2_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1615, 1611])).
% 1.20/1.39 tff(1617,plain,
% 1.20/1.39 ((~hskp28) | c2_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1616, 1611])).
% 1.20/1.39 tff(1618,plain,
% 1.20/1.39 (c2_1(a705)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1617, 1610])).
% 1.20/1.39 tff(1619,plain,
% 1.20/1.39 (((~hskp28) | c1_1(a705)) <=> ((~hskp28) | c1_1(a705))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1620,axiom,((~hskp28) | c1_1(a705)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause55')).
% 1.20/1.39 tff(1621,plain,
% 1.20/1.39 ((~hskp28) | c1_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1620, 1619])).
% 1.20/1.39 tff(1622,plain,
% 1.20/1.39 ((~hskp28) | c1_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1621, 1619])).
% 1.20/1.39 tff(1623,plain,
% 1.20/1.39 ((~hskp28) | c1_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1622, 1619])).
% 1.20/1.39 tff(1624,plain,
% 1.20/1.39 ((~hskp28) | c1_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1623, 1619])).
% 1.20/1.39 tff(1625,plain,
% 1.20/1.39 ((~hskp28) | c1_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1624, 1619])).
% 1.20/1.39 tff(1626,plain,
% 1.20/1.39 (c1_1(a705)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1625, 1610])).
% 1.20/1.39 tff(1627,plain,
% 1.20/1.39 (((~hskp28) | c0_1(a705)) <=> ((~hskp28) | c0_1(a705))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1628,axiom,((~hskp28) | c0_1(a705)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause54')).
% 1.20/1.39 tff(1629,plain,
% 1.20/1.39 ((~hskp28) | c0_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1628, 1627])).
% 1.20/1.39 tff(1630,plain,
% 1.20/1.39 ((~hskp28) | c0_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1629, 1627])).
% 1.20/1.39 tff(1631,plain,
% 1.20/1.39 ((~hskp28) | c0_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1630, 1627])).
% 1.20/1.39 tff(1632,plain,
% 1.20/1.39 ((~hskp28) | c0_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1631, 1627])).
% 1.20/1.39 tff(1633,plain,
% 1.20/1.39 ((~hskp28) | c0_1(a705)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1632, 1627])).
% 1.20/1.39 tff(1634,plain,
% 1.20/1.39 (c0_1(a705)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1633, 1610])).
% 1.20/1.39 tff(1635,plain,
% 1.20/1.39 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | (c0_1(a741) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | c0_1(a741) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1636,plain,
% 1.20/1.39 (((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741))) <=> (c0_1(a741) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1637,plain,
% 1.20/1.39 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | (c0_1(a741) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705))))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[1636])).
% 1.20/1.39 tff(1638,plain,
% 1.20/1.39 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | c0_1(a741) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))),
% 1.20/1.39 inference(transitivity,[status(thm)],[1637, 1635])).
% 1.20/1.39 tff(1639,plain,
% 1.20/1.39 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)))),
% 1.20/1.39 inference(quant_inst,[status(thm)],[])).
% 1.20/1.39 tff(1640,plain,
% 1.20/1.39 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | c0_1(a741) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 1.20/1.39 tff(1641,plain,
% 1.20/1.39 (~c2_1(a741)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1640, 133, 1634, 1626, 1618, 1552, 1005, 1004, 1551, 906, 1526])).
% 1.20/1.39 tff(1642,plain,
% 1.20/1.39 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c0_1(a756) | (~c1_1(a756)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp16 | c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c0_1(a756) | (~c1_1(a756)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1643,plain,
% 1.20/1.39 ((hskp16 | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a756) | c0_1(a756) | (~c1_1(a756))) <=> (hskp16 | c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c0_1(a756) | (~c1_1(a756)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1644,plain,
% 1.20/1.39 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a756) | c0_1(a756) | (~c1_1(a756)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c0_1(a756) | (~c1_1(a756))))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[1643])).
% 1.20/1.39 tff(1645,plain,
% 1.20/1.39 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a756) | c0_1(a756) | (~c1_1(a756)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp16 | c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c0_1(a756) | (~c1_1(a756)))),
% 1.20/1.39 inference(transitivity,[status(thm)],[1644, 1642])).
% 1.20/1.39 tff(1646,plain,
% 1.20/1.39 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a756) | c0_1(a756) | (~c1_1(a756)))),
% 1.20/1.39 inference(quant_inst,[status(thm)],[])).
% 1.20/1.39 tff(1647,plain,
% 1.20/1.39 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp16 | c3_1(a756) | c2_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c0_1(a756) | (~c1_1(a756))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 1.20/1.39 tff(1648,plain,
% 1.20/1.39 (hskp16 | (~c0_1(a730)) | c0_1(a756)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1647, 133, 1584, 1539, 1568, 1538, 1082])).
% 1.20/1.39 tff(1649,plain,
% 1.20/1.39 (hskp16),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1648, 1547, 1592])).
% 1.20/1.39 tff(1650,plain,
% 1.20/1.39 (~c1_1(a732)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1147, 1649])).
% 1.20/1.39 tff(1651,plain,
% 1.20/1.39 (c0_1(a732)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1155, 1649])).
% 1.20/1.39 tff(1652,plain,
% 1.20/1.39 (c2_1(a732)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1162, 133, 1104, 34, 1651, 1650, 414])).
% 1.20/1.39 tff(1653,plain,
% 1.20/1.39 (^[V: $i, U: $i] : refl((hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))),
% 1.20/1.39 inference(bind,[status(th)],[])).
% 1.20/1.39 tff(1654,plain,
% 1.20/1.39 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.39 inference(quant_intro,[status(thm)],[1653])).
% 1.20/1.39 tff(1655,plain,
% 1.20/1.39 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1656,plain,
% 1.20/1.39 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp11))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp11) <=> (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))))),
% 1.20/1.39 inference(bind,[status(th)],[])).
% 1.20/1.39 tff(1657,plain,
% 1.20/1.39 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.39 inference(quant_intro,[status(thm)],[1656])).
% 1.20/1.39 tff(1658,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause182')).
% 1.20/1.39 tff(1659,plain,
% 1.20/1.39 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 1.20/1.39 tff(1660,plain,
% 1.20/1.39 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1659, 1655])).
% 1.20/1.39 tff(1661,plain,(
% 1.20/1.39 ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.39 inference(skolemize,[status(sab)],[1660])).
% 1.20/1.39 tff(1662,plain,
% 1.20/1.39 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1661, 1654])).
% 1.20/1.39 tff(1663,plain,
% 1.20/1.39 (c3_1(a732)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1173, 1649])).
% 1.20/1.39 tff(1664,plain,
% 1.20/1.39 (c1_1(a741)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[199, 1550])).
% 1.20/1.39 tff(1665,plain,
% 1.20/1.39 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a741) | c1_1(a732) | (~ndr1_0) | (~c3_1(a732)) | (~c2_1(a732)) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a741) | c1_1(a732) | (~ndr1_0) | (~c3_1(a732)) | (~c2_1(a732)) | c2_1(a741) | (~c1_1(a741)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1666,plain,
% 1.20/1.39 ((hskp11 | (~ndr1_0) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741))) <=> (hskp11 | c0_1(a741) | c1_1(a732) | (~ndr1_0) | (~c3_1(a732)) | (~c2_1(a732)) | c2_1(a741) | (~c1_1(a741)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1667,plain,
% 1.20/1.39 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a741) | c1_1(a732) | (~ndr1_0) | (~c3_1(a732)) | (~c2_1(a732)) | c2_1(a741) | (~c1_1(a741))))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[1666])).
% 1.20/1.39 tff(1668,plain,
% 1.20/1.39 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a741) | c1_1(a732) | (~ndr1_0) | (~c3_1(a732)) | (~c2_1(a732)) | c2_1(a741) | (~c1_1(a741)))),
% 1.20/1.39 inference(transitivity,[status(thm)],[1667, 1665])).
% 1.20/1.39 tff(1669,plain,
% 1.20/1.39 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))),
% 1.20/1.39 inference(quant_inst,[status(thm)],[])).
% 1.20/1.39 tff(1670,plain,
% 1.20/1.39 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a741) | c1_1(a732) | (~ndr1_0) | (~c3_1(a732)) | (~c2_1(a732)) | c2_1(a741) | (~c1_1(a741))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 1.20/1.39 tff(1671,plain,
% 1.20/1.39 ($false),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1670, 133, 1553, 1664, 1663, 1551, 1650, 1662, 1652, 1641])).
% 1.20/1.39 tff(1672,plain,(hskp30 | hskp11 | hskp18 | hskp8 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.20/1.39 tff(1673,plain,
% 1.20/1.39 (hskp30),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1672, 1300, 34, 83, 1516])).
% 1.20/1.39 tff(1674,plain,
% 1.20/1.39 (c3_1(a714)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[435, 1673])).
% 1.20/1.39 tff(1675,plain,
% 1.20/1.39 (c2_1(a714)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[443, 1673])).
% 1.20/1.39 tff(1676,plain,
% 1.20/1.39 (c0_1(a714)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[451, 1673])).
% 1.20/1.39 tff(1677,assumption,(hskp1), introduced(assumption)).
% 1.20/1.39 tff(1678,plain,
% 1.20/1.39 (((~hskp1) | (~c2_1(a707))) <=> ((~hskp1) | (~c2_1(a707)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1679,plain,
% 1.20/1.39 (((~c2_1(a707)) | (~hskp1)) <=> ((~hskp1) | (~c2_1(a707)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1680,axiom,((~c2_1(a707)) | (~hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause137')).
% 1.20/1.39 tff(1681,plain,
% 1.20/1.39 ((~hskp1) | (~c2_1(a707))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 1.20/1.39 tff(1682,plain,
% 1.20/1.39 ((~hskp1) | (~c2_1(a707))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1681, 1678])).
% 1.20/1.39 tff(1683,plain,
% 1.20/1.39 (~c2_1(a707)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1682, 1677])).
% 1.20/1.39 tff(1684,plain,
% 1.20/1.39 (((~hskp1) | (~c1_1(a707))) <=> ((~hskp1) | (~c1_1(a707)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1685,plain,
% 1.20/1.39 (((~c1_1(a707)) | (~hskp1)) <=> ((~hskp1) | (~c1_1(a707)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1686,axiom,((~c1_1(a707)) | (~hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause136')).
% 1.20/1.39 tff(1687,plain,
% 1.20/1.39 ((~hskp1) | (~c1_1(a707))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 1.20/1.39 tff(1688,plain,
% 1.20/1.39 ((~hskp1) | (~c1_1(a707))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1687, 1684])).
% 1.20/1.39 tff(1689,plain,
% 1.20/1.39 (~c1_1(a707)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1688, 1677])).
% 1.20/1.39 tff(1690,plain,
% 1.20/1.39 (((~hskp1) | c0_1(a707)) <=> ((~hskp1) | c0_1(a707))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1691,axiom,((~hskp1) | c0_1(a707)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause92')).
% 1.20/1.39 tff(1692,plain,
% 1.20/1.39 ((~hskp1) | c0_1(a707)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 1.20/1.39 tff(1693,plain,
% 1.20/1.39 ((~hskp1) | c0_1(a707)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1692, 1690])).
% 1.20/1.39 tff(1694,plain,
% 1.20/1.39 ((~hskp1) | c0_1(a707)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1693, 1690])).
% 1.20/1.39 tff(1695,plain,
% 1.20/1.39 ((~hskp1) | c0_1(a707)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1694, 1690])).
% 1.20/1.39 tff(1696,plain,
% 1.20/1.39 ((~hskp1) | c0_1(a707)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1695, 1690])).
% 1.20/1.39 tff(1697,plain,
% 1.20/1.39 (c0_1(a707)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1696, 1677])).
% 1.20/1.39 tff(1698,plain,
% 1.20/1.39 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1699,plain,
% 1.20/1.39 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a734) | c2_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(1700,plain,
% 1.20/1.39 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[1699])).
% 1.20/1.39 tff(1701,plain,
% 1.20/1.39 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.39 inference(transitivity,[status(thm)],[1700, 1698])).
% 1.20/1.39 tff(1702,plain,
% 1.20/1.39 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a734) | c2_1(a734) | c0_1(a734))),
% 1.20/1.39 inference(quant_inst,[status(thm)],[])).
% 1.20/1.39 tff(1703,plain,
% 1.20/1.39 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[1702, 1701])).
% 1.20/1.39 tff(1704,plain,
% 1.20/1.39 ($false),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1703, 133, 1195, 1194, 1193, 1697, 46, 311, 1689, 1683, 368, 907])).
% 1.20/1.39 tff(1705,plain,((~hskp1) | (~c0_1(a714)) | (~c2_1(a714)) | (~c3_1(a714)) | c0_1(a734) | c3_1(a734) | c2_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.39 tff(1706,plain,
% 1.20/1.39 (~hskp1),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[1705, 1676, 1675, 1674, 46, 311, 907])).
% 1.20/1.39 tff(1707,plain,
% 1.20/1.39 (((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp8 | hskp1 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1708,plain,
% 1.20/1.40 ((hskp8 | hskp1 | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)) | (~c1_1(a730))) <=> (hskp8 | hskp1 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1709,plain,
% 1.20/1.40 (((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)) | (~c1_1(a730)))) <=> ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730))))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[1708])).
% 1.20/1.40 tff(1710,plain,
% 1.20/1.40 (((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)) | (~c1_1(a730)))) <=> ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp8 | hskp1 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730)))),
% 1.20/1.40 inference(transitivity,[status(thm)],[1709, 1707])).
% 1.20/1.40 tff(1711,plain,
% 1.20/1.40 ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | c0_1(a730) | (~c3_1(a730)) | (~c1_1(a730)))),
% 1.20/1.40 inference(quant_inst,[status(thm)],[])).
% 1.20/1.40 tff(1712,plain,
% 1.20/1.40 ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp8 | hskp1 | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a730))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 1.20/1.40 tff(1713,plain,
% 1.20/1.40 (hskp1 | c0_1(a730)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1712, 133, 83, 1548, 1539, 1500])).
% 1.20/1.40 tff(1714,plain,
% 1.20/1.40 (c0_1(a730)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1713, 1706])).
% 1.20/1.40 tff(1715,plain,
% 1.20/1.40 (hskp19),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1549, 1714])).
% 1.20/1.40 tff(1716,plain,
% 1.20/1.40 (~c0_1(a741)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[183, 1715])).
% 1.20/1.40 tff(1717,plain,
% 1.20/1.40 (c3_1(a741)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[191, 1715])).
% 1.20/1.40 tff(1718,plain,
% 1.20/1.40 (c1_1(a741)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[199, 1715])).
% 1.20/1.40 tff(1719,plain,
% 1.20/1.40 (((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp8 | hskp1 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1720,plain,
% 1.20/1.40 ((hskp8 | hskp1 | (~ndr1_0) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741))) <=> (hskp8 | hskp1 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1721,plain,
% 1.20/1.40 (((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741))))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[1720])).
% 1.20/1.40 tff(1722,plain,
% 1.20/1.40 (((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp8 | hskp1 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.20/1.40 inference(transitivity,[status(thm)],[1721, 1719])).
% 1.20/1.40 tff(1723,plain,
% 1.20/1.40 ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.20/1.40 inference(quant_inst,[status(thm)],[])).
% 1.20/1.40 tff(1724,plain,
% 1.20/1.40 ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp8 | hskp1 | c0_1(a741) | (~ndr1_0) | (~c3_1(a741)) | (~c1_1(a741))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1723, 1722])).
% 1.20/1.40 tff(1725,plain,
% 1.20/1.40 ($false),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1724, 133, 83, 1706, 1718, 1717, 1716, 1500])).
% 1.20/1.40 tff(1726,plain,(hskp7 | hskp8 | c0_1(a734) | c3_1(a734) | c2_1(a734) | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.20/1.40 tff(1727,plain,
% 1.20/1.40 (hskp7),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1726, 907, 46, 311, 83, 34])).
% 1.20/1.40 tff(1728,plain,
% 1.20/1.40 (~c3_1(a717)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[505, 1727])).
% 1.20/1.40 tff(1729,plain,
% 1.20/1.40 (~c2_1(a717)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[545, 1727])).
% 1.20/1.40 tff(1730,plain,
% 1.20/1.40 (c0_1(a717)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[522, 1727])).
% 1.20/1.40 tff(1731,plain,
% 1.20/1.40 (~c1_1(a717)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1011, 133, 1730, 1005, 1004, 1729, 1728, 906, 482])).
% 1.20/1.40 tff(1732,plain,
% 1.20/1.40 (hskp30 | c1_1(a717)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1019, 133, 34, 1730, 1729, 414])).
% 1.20/1.40 tff(1733,plain,
% 1.20/1.40 (hskp30),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1732, 1731])).
% 1.20/1.40 tff(1734,plain,
% 1.20/1.40 (c3_1(a714)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[435, 1733])).
% 1.20/1.40 tff(1735,plain,
% 1.20/1.40 (c2_1(a714)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[443, 1733])).
% 1.20/1.40 tff(1736,plain,
% 1.20/1.40 (c0_1(a714)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[451, 1733])).
% 1.20/1.40 tff(1737,plain,
% 1.20/1.40 ($false),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1066, 133, 1736, 1735, 1734, 1730, 46, 311, 1729, 368, 907, 1731])).
% 1.20/1.40 tff(1738,plain,(c2_1(a734) | c0_1(a734) | c3_1(a734) | hskp18 | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.20/1.40 tff(1739,plain,
% 1.20/1.40 (c2_1(a734)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1738, 83, 1490, 34, 46])).
% 1.20/1.40 tff(1740,plain,
% 1.20/1.40 ((~c2_1(a734)) | (~c0_1(a709))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[903, 133, 897, 866, 46, 45, 1490, 889])).
% 1.20/1.40 tff(1741,plain,
% 1.20/1.40 (~c0_1(a709)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1740, 1739])).
% 1.20/1.40 tff(1742,plain,
% 1.20/1.40 (((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c1_1(a709)) | (~c2_1(a709)))) <=> ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1743,plain,
% 1.20/1.40 ((hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c2_1(a709)) | (~c1_1(a709))) <=> (hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1744,plain,
% 1.20/1.40 (((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c2_1(a709)) | (~c1_1(a709)))) <=> ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c1_1(a709)) | (~c2_1(a709))))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[1743])).
% 1.20/1.40 tff(1745,plain,
% 1.20/1.40 (((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c2_1(a709)) | (~c1_1(a709)))) <=> ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.20/1.40 inference(transitivity,[status(thm)],[1744, 1742])).
% 1.20/1.40 tff(1746,plain,
% 1.20/1.40 ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c2_1(a709)) | (~c1_1(a709)))),
% 1.20/1.40 inference(quant_inst,[status(thm)],[])).
% 1.20/1.40 tff(1747,plain,
% 1.20/1.40 ((~![U: $i] : (hskp28 | hskp18 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp28 | hskp18 | (~ndr1_0) | c0_1(a709) | (~c1_1(a709)) | (~c2_1(a709))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 1.20/1.40 tff(1748,plain,
% 1.20/1.40 (hskp28 | hskp18 | c0_1(a709)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1747, 133, 874, 897, 1602])).
% 1.20/1.40 tff(1749,plain,
% 1.20/1.40 (hskp28),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1748, 1741, 34])).
% 1.20/1.40 tff(1750,plain,
% 1.20/1.40 (c2_1(a705)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1617, 1749])).
% 1.20/1.40 tff(1751,plain,
% 1.20/1.40 (c1_1(a705)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1625, 1749])).
% 1.20/1.40 tff(1752,plain,
% 1.20/1.40 (c0_1(a705)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1633, 1749])).
% 1.20/1.40 tff(1753,plain,
% 1.20/1.40 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | (c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1754,plain,
% 1.20/1.40 (((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709))) <=> (c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1755,plain,
% 1.20/1.40 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | (c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[1754])).
% 1.20/1.40 tff(1756,plain,
% 1.20/1.40 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.40 inference(transitivity,[status(thm)],[1755, 1753])).
% 1.20/1.40 tff(1757,plain,
% 1.20/1.40 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a716) | (~c2_1(a716)) | (~c0_1(a716)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)))),
% 1.20/1.40 inference(quant_inst,[status(thm)],[])).
% 1.20/1.40 tff(1758,plain,
% 1.20/1.40 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c0_1(a716)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 1.20/1.40 tff(1759,plain,
% 1.20/1.40 ($false),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1758, 133, 897, 866, 1752, 1751, 1750, 1005, 1004, 906, 1526, 1741])).
% 1.20/1.40 tff(1760,plain,(hskp8 | hskp18 | c0_1(a734) | c1_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.40 tff(1761,plain,
% 1.20/1.40 (hskp8),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1760, 46, 34, 45])).
% 1.20/1.40 tff(1762,plain,
% 1.20/1.40 (~c2_1(a718)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[26, 1761])).
% 1.20/1.40 tff(1763,plain,
% 1.20/1.40 (~c0_1(a718)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[32, 1761])).
% 1.20/1.40 tff(1764,plain,
% 1.20/1.40 (c1_1(a718)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[722, 1761])).
% 1.20/1.40 tff(1765,assumption,(hskp30), introduced(assumption)).
% 1.20/1.40 tff(1766,plain,
% 1.20/1.40 (c3_1(a714)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[435, 1765])).
% 1.20/1.40 tff(1767,plain,
% 1.20/1.40 (c0_1(a714)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[451, 1765])).
% 1.20/1.40 tff(1768,plain,
% 1.20/1.40 (c2_1(a714)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[443, 1765])).
% 1.20/1.40 tff(1769,plain,
% 1.20/1.40 (~hskp1),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1705, 1768, 1767, 1766, 46, 311, 907])).
% 1.20/1.40 tff(1770,plain,
% 1.20/1.40 (^[U: $i] : refl((hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))),
% 1.20/1.40 inference(bind,[status(th)],[])).
% 1.20/1.40 tff(1771,plain,
% 1.20/1.40 (![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.40 inference(quant_intro,[status(thm)],[1770])).
% 1.20/1.40 tff(1772,plain,
% 1.20/1.40 (![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1773,plain,
% 1.20/1.40 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp1) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp1))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp1) <=> (hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp1) <=> (hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp1) | hskp12) <=> ((hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp12))), rewrite(((hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp12) <=> (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp1) | hskp12) <=> (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))))),
% 1.20/1.40 inference(bind,[status(th)],[])).
% 1.20/1.40 tff(1774,plain,
% 1.20/1.40 (![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp1) | hskp12) <=> ![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.40 inference(quant_intro,[status(thm)],[1773])).
% 1.20/1.40 tff(1775,axiom,(![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp1) | hskp12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause146')).
% 1.20/1.40 tff(1776,plain,
% 1.20/1.40 (![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1775, 1774])).
% 1.20/1.40 tff(1777,plain,
% 1.20/1.40 (![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1776, 1772])).
% 1.20/1.40 tff(1778,plain,(
% 1.20/1.40 ![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.40 inference(skolemize,[status(sab)],[1777])).
% 1.20/1.40 tff(1779,plain,
% 1.20/1.40 (![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1778, 1771])).
% 1.20/1.40 tff(1780,plain,
% 1.20/1.40 (((~![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp12 | hskp1 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)))) <=> ((~![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp12 | hskp1 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1781,plain,
% 1.20/1.40 ((hskp12 | hskp1 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | (~c1_1(a718))) <=> (hskp12 | hskp1 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1782,plain,
% 1.20/1.40 (((~![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp12 | hskp1 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp12 | hskp1 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718))))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[1781])).
% 1.20/1.40 tff(1783,plain,
% 1.20/1.40 (((~![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp12 | hskp1 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp12 | hskp1 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)))),
% 1.20/1.40 inference(transitivity,[status(thm)],[1782, 1780])).
% 1.20/1.40 tff(1784,plain,
% 1.20/1.40 ((~![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp12 | hskp1 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))),
% 1.20/1.40 inference(quant_inst,[status(thm)],[])).
% 1.20/1.40 tff(1785,plain,
% 1.20/1.40 ((~![U: $i] : (hskp12 | hskp1 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp12 | hskp1 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1784, 1783])).
% 1.20/1.40 tff(1786,plain,
% 1.20/1.40 (hskp12 | hskp1),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1785, 133, 1166, 1165, 1164, 1779])).
% 1.20/1.40 tff(1787,plain,
% 1.20/1.40 (hskp12),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1786, 1769])).
% 1.20/1.40 tff(1788,plain,
% 1.20/1.40 (((~hskp12) | (~c1_1(a725))) <=> ((~hskp12) | (~c1_1(a725)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1789,plain,
% 1.20/1.40 (((~c1_1(a725)) | (~hskp12)) <=> ((~hskp12) | (~c1_1(a725)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1790,axiom,((~c1_1(a725)) | (~hskp12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause115')).
% 1.20/1.40 tff(1791,plain,
% 1.20/1.40 ((~hskp12) | (~c1_1(a725))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 1.20/1.40 tff(1792,plain,
% 1.20/1.40 ((~hskp12) | (~c1_1(a725))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1791, 1788])).
% 1.20/1.40 tff(1793,plain,
% 1.20/1.40 (~c1_1(a725)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1792, 1787])).
% 1.20/1.40 tff(1794,plain,
% 1.20/1.40 (((~hskp12) | (~c0_1(a725))) <=> ((~hskp12) | (~c0_1(a725)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1795,plain,
% 1.20/1.40 (((~c0_1(a725)) | (~hskp12)) <=> ((~hskp12) | (~c0_1(a725)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1796,axiom,((~c0_1(a725)) | (~hskp12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause114')).
% 1.20/1.40 tff(1797,plain,
% 1.20/1.40 ((~hskp12) | (~c0_1(a725))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1796, 1795])).
% 1.20/1.40 tff(1798,plain,
% 1.20/1.40 ((~hskp12) | (~c0_1(a725))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1797, 1794])).
% 1.20/1.40 tff(1799,plain,
% 1.20/1.40 (~c0_1(a725)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1798, 1787])).
% 1.20/1.40 tff(1800,plain,
% 1.20/1.40 (((~hskp12) | c2_1(a725)) <=> ((~hskp12) | c2_1(a725))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1801,axiom,((~hskp12) | c2_1(a725)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause81')).
% 1.20/1.40 tff(1802,plain,
% 1.20/1.40 ((~hskp12) | c2_1(a725)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1801, 1800])).
% 1.20/1.40 tff(1803,plain,
% 1.20/1.40 ((~hskp12) | c2_1(a725)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1802, 1800])).
% 1.20/1.40 tff(1804,plain,
% 1.20/1.40 ((~hskp12) | c2_1(a725)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1803, 1800])).
% 1.20/1.40 tff(1805,plain,
% 1.20/1.40 ((~hskp12) | c2_1(a725)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1804, 1800])).
% 1.20/1.40 tff(1806,plain,
% 1.20/1.40 ((~hskp12) | c2_1(a725)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1805, 1800])).
% 1.20/1.40 tff(1807,plain,
% 1.20/1.40 (c2_1(a725)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1806, 1787])).
% 1.20/1.40 tff(1808,plain,
% 1.20/1.40 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a725) | c1_1(a725) | (~ndr1_0) | (~c2_1(a725)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a725) | c1_1(a725) | (~ndr1_0) | (~c2_1(a725)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1809,plain,
% 1.20/1.40 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a725) | c0_1(a725) | (~c2_1(a725)) | c3_1(a734) | c1_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a725) | c1_1(a725) | (~ndr1_0) | (~c2_1(a725)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1810,plain,
% 1.20/1.40 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a725) | c0_1(a725) | (~c2_1(a725)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a725) | c1_1(a725) | (~ndr1_0) | (~c2_1(a725)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[1809])).
% 1.20/1.40 tff(1811,plain,
% 1.20/1.40 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a725) | c0_1(a725) | (~c2_1(a725)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a725) | c1_1(a725) | (~ndr1_0) | (~c2_1(a725)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.40 inference(transitivity,[status(thm)],[1810, 1808])).
% 1.20/1.40 tff(1812,plain,
% 1.20/1.40 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a725) | c0_1(a725) | (~c2_1(a725)) | c3_1(a734) | c1_1(a734) | c0_1(a734))),
% 1.20/1.40 inference(quant_inst,[status(thm)],[])).
% 1.20/1.40 tff(1813,plain,
% 1.20/1.40 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | c0_1(a725) | c1_1(a725) | (~ndr1_0) | (~c2_1(a725)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1812, 1811])).
% 1.20/1.40 tff(1814,plain,
% 1.20/1.40 ($false),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1813, 133, 1767, 1768, 1766, 1807, 46, 45, 311, 1799, 1793, 889])).
% 1.20/1.40 tff(1815,plain,((~hskp30) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~c1_1(a718)) | c0_1(a718) | c2_1(a718) | c2_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.40 tff(1816,plain,
% 1.20/1.40 (~hskp30),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1815, 907, 45, 1490, 1764, 1763, 1762, 46])).
% 1.20/1.40 tff(1817,plain,
% 1.20/1.40 (((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c3_1(a718)))) <=> ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp7 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c3_1(a718)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1818,plain,
% 1.20/1.40 ((hskp30 | hskp7 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | (~c3_1(a718))) <=> (hskp30 | hskp7 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c3_1(a718)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1819,plain,
% 1.20/1.40 (((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | (~c3_1(a718)))) <=> ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c3_1(a718))))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[1818])).
% 1.20/1.40 tff(1820,plain,
% 1.20/1.40 (((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | (~c3_1(a718)))) <=> ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp7 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c3_1(a718)))),
% 1.20/1.40 inference(transitivity,[status(thm)],[1819, 1817])).
% 1.20/1.40 tff(1821,plain,
% 1.20/1.40 ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | (~ndr1_0) | c2_1(a718) | c0_1(a718) | (~c3_1(a718)))),
% 1.20/1.40 inference(quant_inst,[status(thm)],[])).
% 1.20/1.40 tff(1822,plain,
% 1.20/1.40 ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp7 | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c3_1(a718))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 1.20/1.40 tff(1823,plain,
% 1.20/1.40 (hskp30 | hskp7 | (~c3_1(a718))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1822, 133, 1165, 1164, 1536])).
% 1.20/1.40 tff(1824,plain,
% 1.20/1.40 (~c3_1(a718)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1823, 1104, 1300])).
% 1.20/1.40 tff(1825,plain,
% 1.20/1.40 (((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721))) <=> ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp7 | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1826,plain,
% 1.20/1.40 ((hskp30 | hskp7 | (~ndr1_0) | c2_1(a721) | c0_1(a721) | (~c3_1(a721))) <=> (hskp30 | hskp7 | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1827,plain,
% 1.20/1.40 (((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | (~ndr1_0) | c2_1(a721) | c0_1(a721) | (~c3_1(a721)))) <=> ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721)))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[1826])).
% 1.20/1.40 tff(1828,plain,
% 1.20/1.40 (((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | (~ndr1_0) | c2_1(a721) | c0_1(a721) | (~c3_1(a721)))) <=> ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp7 | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721))),
% 1.20/1.40 inference(transitivity,[status(thm)],[1827, 1825])).
% 1.20/1.40 tff(1829,plain,
% 1.20/1.40 ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp7 | (~ndr1_0) | c2_1(a721) | c0_1(a721) | (~c3_1(a721)))),
% 1.20/1.40 inference(quant_inst,[status(thm)],[])).
% 1.20/1.40 tff(1830,plain,
% 1.20/1.40 ((~![U: $i] : (hskp30 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp7 | c0_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 1.20/1.40 tff(1831,plain,
% 1.20/1.40 (c2_1(a721)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[1830, 133, 1104, 1300, 1507, 1504, 1536])).
% 1.20/1.40 tff(1832,plain,
% 1.20/1.40 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1833,plain,
% 1.20/1.40 (((~ndr1_0) | c0_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c2_1(a721))) <=> (c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(1834,plain,
% 1.20/1.40 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c2_1(a721)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721))))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[1833])).
% 1.20/1.41 tff(1835,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c2_1(a721)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)))),
% 1.20/1.41 inference(transitivity,[status(thm)],[1834, 1832])).
% 1.20/1.41 tff(1836,plain,
% 1.20/1.41 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c2_1(a721)))),
% 1.20/1.41 inference(quant_inst,[status(thm)],[])).
% 1.20/1.41 tff(1837,plain,
% 1.20/1.41 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1836, 1835])).
% 1.20/1.41 tff(1838,plain,
% 1.20/1.41 ($false),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1837, 133, 1507, 1504, 1503, 633, 1831])).
% 1.20/1.41 tff(1839,plain,((~hskp11) | hskp30 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.20/1.41 tff(1840,plain,
% 1.20/1.41 (~hskp11),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1839, 1104, 1300])).
% 1.20/1.41 tff(1841,plain,
% 1.20/1.41 (hskp26 | hskp11 | c3_1(a718)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1326, 133, 1166, 1164, 1320])).
% 1.20/1.41 tff(1842,plain,
% 1.20/1.41 (hskp26),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1841, 1840, 1824])).
% 1.20/1.41 tff(1843,plain,
% 1.20/1.41 (hskp27),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1309, 1842, 1300])).
% 1.20/1.41 tff(1844,plain,
% 1.20/1.41 (~c3_1(a780)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1242, 1843])).
% 1.20/1.41 tff(1845,plain,
% 1.20/1.41 (~c1_1(a780)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1248, 1843])).
% 1.20/1.41 tff(1846,plain,
% 1.20/1.41 (c2_1(a780)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1256, 1843])).
% 1.20/1.41 tff(1847,plain,
% 1.20/1.41 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1848,plain,
% 1.20/1.41 ((hskp24 | hskp18 | (~ndr1_0) | c1_1(a780) | c3_1(a780) | (~c2_1(a780))) <=> (hskp24 | hskp18 | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1849,plain,
% 1.20/1.41 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a780) | c3_1(a780) | (~c2_1(a780)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780))))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[1848])).
% 1.20/1.41 tff(1850,plain,
% 1.20/1.41 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a780) | c3_1(a780) | (~c2_1(a780)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)))),
% 1.20/1.41 inference(transitivity,[status(thm)],[1849, 1847])).
% 1.20/1.41 tff(1851,plain,
% 1.20/1.41 ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a780) | c3_1(a780) | (~c2_1(a780)))),
% 1.20/1.41 inference(quant_inst,[status(thm)],[])).
% 1.20/1.41 tff(1852,plain,
% 1.20/1.41 ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1851, 1850])).
% 1.20/1.41 tff(1853,plain,
% 1.20/1.41 (hskp24),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1852, 133, 34, 1846, 1845, 1844, 261])).
% 1.20/1.41 tff(1854,plain,
% 1.20/1.41 (~c2_1(a762)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[273, 1853])).
% 1.20/1.41 tff(1855,plain,
% 1.20/1.41 (c0_1(a762)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[289, 1853])).
% 1.20/1.41 tff(1856,plain,
% 1.20/1.41 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c0_1(a762)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c0_1(a762)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1857,plain,
% 1.20/1.41 ((hskp30 | hskp18 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c0_1(a762))) <=> (hskp30 | hskp18 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c0_1(a762)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1858,plain,
% 1.20/1.41 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c0_1(a762)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c0_1(a762))))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[1857])).
% 1.20/1.41 tff(1859,plain,
% 1.20/1.41 (((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c0_1(a762)))) <=> ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c0_1(a762)))),
% 1.20/1.41 inference(transitivity,[status(thm)],[1858, 1856])).
% 1.20/1.41 tff(1860,plain,
% 1.20/1.41 ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp30 | hskp18 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c0_1(a762)))),
% 1.20/1.41 inference(quant_inst,[status(thm)],[])).
% 1.20/1.41 tff(1861,plain,
% 1.20/1.41 ((~![U: $i] : (hskp30 | hskp18 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)))) | hskp30 | hskp18 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c0_1(a762))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1860, 1859])).
% 1.20/1.41 tff(1862,plain,
% 1.20/1.41 (c1_1(a762)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1861, 133, 1104, 34, 1855, 1854, 414])).
% 1.20/1.41 tff(1863,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | (c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | c2_1(a734) | (~c0_1(a780)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | c2_1(a734) | (~c0_1(a780)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1864,plain,
% 1.20/1.41 (((~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)) | c3_1(a780) | c1_1(a780) | (~c0_1(a780)) | c3_1(a734) | c2_1(a734) | c1_1(a734)) <=> (c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | c2_1(a734) | (~c0_1(a780)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1865,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | ((~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)) | c3_1(a780) | c1_1(a780) | (~c0_1(a780)) | c3_1(a734) | c2_1(a734) | c1_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | (c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | c2_1(a734) | (~c0_1(a780))))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[1864])).
% 1.20/1.41 tff(1866,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | ((~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)) | c3_1(a780) | c1_1(a780) | (~c0_1(a780)) | c3_1(a734) | c2_1(a734) | c1_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | c2_1(a734) | (~c0_1(a780)))),
% 1.20/1.41 inference(transitivity,[status(thm)],[1865, 1863])).
% 1.20/1.41 tff(1867,plain,
% 1.20/1.41 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | ((~ndr1_0) | c2_1(a718) | c3_1(a718) | (~c1_1(a718)) | c3_1(a780) | c1_1(a780) | (~c0_1(a780)) | c3_1(a734) | c2_1(a734) | c1_1(a734))),
% 1.20/1.41 inference(quant_inst,[status(thm)],[])).
% 1.20/1.41 tff(1868,plain,
% 1.20/1.41 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c1_1(W))) | c1_1(a780) | c3_1(a780) | c1_1(a734) | c3_1(a734) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | c3_1(a718) | c2_1(a734) | (~c0_1(a780))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1867, 1866])).
% 1.20/1.41 tff(1869,plain,
% 1.20/1.41 (~c0_1(a780)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1868, 133, 1166, 1845, 1844, 45, 311, 1164, 1226, 907, 1824])).
% 1.20/1.41 tff(1870,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)) | c0_1(a780) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)) | c0_1(a780) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1871,plain,
% 1.20/1.41 (((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a780) | c0_1(a780) | (~c2_1(a780)) | c3_1(a780) | c1_1(a780) | c0_1(a780)) <=> (c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)) | c0_1(a780) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1872,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a780) | c0_1(a780) | (~c2_1(a780)) | c3_1(a780) | c1_1(a780) | c0_1(a780))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)) | c0_1(a780) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[1871])).
% 1.20/1.41 tff(1873,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a780) | c0_1(a780) | (~c2_1(a780)) | c3_1(a780) | c1_1(a780) | c0_1(a780))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)) | c0_1(a780) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.41 inference(transitivity,[status(thm)],[1872, 1870])).
% 1.20/1.41 tff(1874,plain,
% 1.20/1.41 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a780) | c0_1(a780) | (~c2_1(a780)) | c3_1(a780) | c1_1(a780) | c0_1(a780))),
% 1.20/1.41 inference(quant_inst,[status(thm)],[])).
% 1.20/1.41 tff(1875,plain,
% 1.20/1.41 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c2_1(a780)) | c0_1(a780) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 1.20/1.41 tff(1876,plain,
% 1.20/1.41 (c0_1(a780) | (~c0_1(a709))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1875, 133, 897, 866, 1846, 1845, 1844, 889])).
% 1.20/1.41 tff(1877,plain,
% 1.20/1.41 (~c0_1(a709)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1876, 1869])).
% 1.20/1.41 tff(1878,plain,
% 1.20/1.41 (c3_1(a762)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[281, 1853])).
% 1.20/1.41 tff(1879,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a780) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a780) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1880,plain,
% 1.20/1.41 (((~ndr1_0) | (~c3_1(a762)) | (~c1_1(a762)) | (~c0_1(a762)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c3_1(a780) | c1_1(a780) | c0_1(a780)) <=> (c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a780) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1881,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c3_1(a762)) | (~c1_1(a762)) | (~c0_1(a762)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c3_1(a780) | c1_1(a780) | c0_1(a780))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a780) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[1880])).
% 1.20/1.41 tff(1882,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c3_1(a762)) | (~c1_1(a762)) | (~c0_1(a762)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c3_1(a780) | c1_1(a780) | c0_1(a780))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a780) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.41 inference(transitivity,[status(thm)],[1881, 1879])).
% 1.20/1.41 tff(1883,plain,
% 1.20/1.41 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c3_1(a762)) | (~c1_1(a762)) | (~c0_1(a762)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c3_1(a780) | c1_1(a780) | c0_1(a780))),
% 1.20/1.41 inference(quant_inst,[status(thm)],[])).
% 1.20/1.41 tff(1884,plain,
% 1.20/1.41 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c1_1(a780) | c3_1(a780) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a780) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 1.20/1.41 tff(1885,plain,
% 1.20/1.41 ($false),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1884, 133, 897, 866, 1855, 1878, 1845, 1844, 1092, 1877, 1869, 1862])).
% 1.20/1.41 tff(1886,plain,(hskp30 | hskp18 | (~c1_1(a718)) | c1_1(a734) | c3_1(a734) | c2_1(a718) | c2_1(a734) | hskp7 | c0_1(a718)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.41 tff(1887,plain,
% 1.20/1.41 (hskp7),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1886, 1816, 1764, 45, 1490, 1762, 907, 34, 1763])).
% 1.20/1.41 tff(1888,plain,
% 1.20/1.41 (~c2_1(a717)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[545, 1887])).
% 1.20/1.41 tff(1889,plain,
% 1.20/1.41 (c0_1(a717)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[522, 1887])).
% 1.20/1.41 tff(1890,plain,
% 1.20/1.41 (c1_1(a717)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1019, 133, 1816, 34, 1889, 1888, 414])).
% 1.20/1.41 tff(1891,plain,
% 1.20/1.41 (^[V: $i, U: $i] : refl((hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) <=> (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))))),
% 1.20/1.41 inference(bind,[status(th)],[])).
% 1.20/1.41 tff(1892,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.20/1.41 inference(quant_intro,[status(thm)],[1891])).
% 1.20/1.41 tff(1893,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1894,plain,
% 1.20/1.41 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c2_1(V)) | c3_1(V)) | hskp16) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) | hskp16))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) | hskp16) <=> (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c2_1(V)) | c3_1(V)) | hskp16) <=> (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))))),
% 1.20/1.41 inference(bind,[status(th)],[])).
% 1.20/1.41 tff(1895,plain,
% 1.20/1.41 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c2_1(V)) | c3_1(V)) | hskp16) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.20/1.41 inference(quant_intro,[status(thm)],[1894])).
% 1.20/1.41 tff(1896,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c2_1(V)) | c3_1(V)) | hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause188')).
% 1.20/1.41 tff(1897,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 1.20/1.41 tff(1898,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1897, 1893])).
% 1.20/1.41 tff(1899,plain,(
% 1.20/1.41 ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.20/1.41 inference(skolemize,[status(sab)],[1898])).
% 1.20/1.41 tff(1900,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1899, 1892])).
% 1.20/1.41 tff(1901,plain,
% 1.20/1.41 (~c3_1(a717)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[505, 1887])).
% 1.20/1.41 tff(1902,plain,
% 1.20/1.41 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | hskp16 | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1903,plain,
% 1.20/1.41 ((hskp16 | (~ndr1_0) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c3_1(a717) | c2_1(a717) | (~c0_1(a717))) <=> (hskp16 | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1904,plain,
% 1.20/1.41 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | (~ndr1_0) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c3_1(a717) | c2_1(a717) | (~c0_1(a717)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717))))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[1903])).
% 1.20/1.41 tff(1905,plain,
% 1.20/1.41 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | (~ndr1_0) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c3_1(a717) | c2_1(a717) | (~c0_1(a717)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | hskp16 | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.20/1.41 inference(transitivity,[status(thm)],[1904, 1902])).
% 1.20/1.41 tff(1906,plain,
% 1.20/1.41 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | (~ndr1_0) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c3_1(a717) | c2_1(a717) | (~c0_1(a717)))),
% 1.20/1.41 inference(quant_inst,[status(thm)],[])).
% 1.20/1.41 tff(1907,plain,
% 1.20/1.41 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | hskp16 | c2_1(a717) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 1.20/1.41 tff(1908,plain,
% 1.20/1.41 (hskp16),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1907, 133, 1889, 1888, 1901, 1900, 1890])).
% 1.20/1.41 tff(1909,plain,
% 1.20/1.41 (~c1_1(a732)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1147, 1908])).
% 1.20/1.41 tff(1910,plain,
% 1.20/1.41 (c3_1(a732)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1173, 1908])).
% 1.20/1.41 tff(1911,plain,
% 1.20/1.41 (^[V: $i, U: $i] : refl((hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))),
% 1.20/1.41 inference(bind,[status(th)],[])).
% 1.20/1.41 tff(1912,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.41 inference(quant_intro,[status(thm)],[1911])).
% 1.20/1.41 tff(1913,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1914,plain,
% 1.20/1.41 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp28) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp28))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp28) <=> (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp28) <=> (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))))),
% 1.20/1.41 inference(bind,[status(th)],[])).
% 1.20/1.41 tff(1915,plain,
% 1.20/1.41 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp28) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.41 inference(quant_intro,[status(thm)],[1914])).
% 1.20/1.41 tff(1916,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause183')).
% 1.20/1.41 tff(1917,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1916, 1915])).
% 1.20/1.41 tff(1918,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1917, 1913])).
% 1.20/1.41 tff(1919,plain,(
% 1.20/1.41 ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.41 inference(skolemize,[status(sab)],[1918])).
% 1.20/1.41 tff(1920,plain,
% 1.20/1.41 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1919, 1912])).
% 1.20/1.41 tff(1921,plain,
% 1.20/1.41 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp28 | c0_1(a718) | c2_1(a718) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a718)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp28 | c0_1(a718) | c2_1(a718) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a718)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1922,plain,
% 1.20/1.41 ((hskp28 | (~ndr1_0) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718))) <=> (hskp28 | c0_1(a718) | c2_1(a718) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a718)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1923,plain,
% 1.20/1.41 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp28 | c0_1(a718) | c2_1(a718) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a718))))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[1922])).
% 1.20/1.41 tff(1924,plain,
% 1.20/1.41 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp28 | c0_1(a718) | c2_1(a718) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a718)))),
% 1.20/1.41 inference(transitivity,[status(thm)],[1923, 1921])).
% 1.20/1.41 tff(1925,plain,
% 1.20/1.41 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | c3_1(a717) | (~c1_1(a717)) | (~c0_1(a717)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718)))),
% 1.20/1.41 inference(quant_inst,[status(thm)],[])).
% 1.20/1.41 tff(1926,plain,
% 1.20/1.41 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp28 | c0_1(a718) | c2_1(a718) | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)) | (~c1_1(a718))),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 1.20/1.41 tff(1927,plain,
% 1.20/1.41 (hskp28),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1926, 133, 1764, 1889, 1763, 1762, 1901, 1920, 1890])).
% 1.20/1.41 tff(1928,plain,
% 1.20/1.41 (c2_1(a705)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1617, 1927])).
% 1.20/1.41 tff(1929,plain,
% 1.20/1.41 (c1_1(a705)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1625, 1927])).
% 1.20/1.41 tff(1930,plain,
% 1.20/1.41 (c0_1(a705)),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1633, 1927])).
% 1.20/1.41 tff(1931,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1932,plain,
% 1.20/1.41 (((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718))) <=> (c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(1933,plain,
% 1.20/1.41 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705))))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[1932])).
% 1.20/1.42 tff(1934,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))),
% 1.20/1.42 inference(transitivity,[status(thm)],[1933, 1931])).
% 1.20/1.42 tff(1935,plain,
% 1.20/1.42 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a732) | (~c2_1(a732)) | (~c3_1(a732)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))),
% 1.20/1.42 inference(quant_inst,[status(thm)],[])).
% 1.20/1.42 tff(1936,plain,
% 1.20/1.42 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1935, 1934])).
% 1.20/1.42 tff(1937,plain,
% 1.20/1.42 (~c2_1(a732)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1936, 133, 1930, 1929, 1928, 1910, 1764, 1909, 1763, 1762, 20])).
% 1.20/1.42 tff(1938,plain,
% 1.20/1.42 (c0_1(a732)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1155, 1908])).
% 1.20/1.42 tff(1939,plain,
% 1.20/1.42 ($false),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1162, 133, 1816, 34, 1938, 1909, 414, 1937])).
% 1.20/1.42 tff(1940,plain,(c2_1(a734) | hskp18 | c1_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.42 tff(1941,plain,
% 1.20/1.42 (c2_1(a734)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1940, 46, 45, 34])).
% 1.20/1.42 tff(1942,plain,
% 1.20/1.42 (~c0_1(a709)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1740, 1941])).
% 1.20/1.42 tff(1943,plain,
% 1.20/1.42 (^[V: $i, U: $i] : refl((hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))))),
% 1.20/1.42 inference(bind,[status(th)],[])).
% 1.20/1.42 tff(1944,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.20/1.42 inference(quant_intro,[status(thm)],[1943])).
% 1.20/1.42 tff(1945,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1946,plain,
% 1.20/1.42 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c2_1(V)))), ((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c2_1(V))))), (((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c2_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c2_1(V)))), (((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c2_1(V))))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c2_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c2_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | (~c2_1(V)))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | (~c2_1(V))))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp4) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp4))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp4) <=> (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp4) <=> (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))))),
% 1.20/1.42 inference(bind,[status(th)],[])).
% 1.20/1.42 tff(1947,plain,
% 1.20/1.42 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp4) <=> ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.20/1.42 inference(quant_intro,[status(thm)],[1946])).
% 1.20/1.42 tff(1948,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause176')).
% 1.20/1.42 tff(1949,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 1.20/1.42 tff(1950,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1949, 1945])).
% 1.20/1.42 tff(1951,plain,(
% 1.20/1.42 ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.20/1.42 inference(skolemize,[status(sab)],[1950])).
% 1.20/1.42 tff(1952,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1951, 1944])).
% 1.20/1.42 tff(1953,plain,
% 1.20/1.42 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp4 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1954,plain,
% 1.20/1.42 ((hskp4 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734))) <=> (hskp4 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1955,plain,
% 1.20/1.42 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734))))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[1954])).
% 1.20/1.42 tff(1956,plain,
% 1.20/1.42 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp4 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)))),
% 1.20/1.42 inference(transitivity,[status(thm)],[1955, 1953])).
% 1.20/1.42 tff(1957,plain,
% 1.20/1.42 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))),
% 1.20/1.42 inference(quant_inst,[status(thm)],[])).
% 1.20/1.42 tff(1958,plain,
% 1.20/1.42 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp4 | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1957, 1956])).
% 1.20/1.42 tff(1959,plain,
% 1.20/1.42 (hskp4 | c3_1(a734) | (~c2_1(a734))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1958, 133, 46, 45, 1952])).
% 1.20/1.42 tff(1960,plain,
% 1.20/1.42 (hskp4),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1959, 1941, 1490])).
% 1.20/1.42 tff(1961,plain,
% 1.20/1.42 (((~hskp4) | (~c3_1(a711))) <=> ((~hskp4) | (~c3_1(a711)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1962,plain,
% 1.20/1.42 (((~c3_1(a711)) | (~hskp4)) <=> ((~hskp4) | (~c3_1(a711)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1963,axiom,((~c3_1(a711)) | (~hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause130')).
% 1.20/1.42 tff(1964,plain,
% 1.20/1.42 ((~hskp4) | (~c3_1(a711))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 1.20/1.42 tff(1965,plain,
% 1.20/1.42 ((~hskp4) | (~c3_1(a711))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1964, 1961])).
% 1.20/1.42 tff(1966,plain,
% 1.20/1.42 (~c3_1(a711)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1965, 1960])).
% 1.20/1.42 tff(1967,plain,
% 1.20/1.42 (((~hskp4) | c0_1(a711)) <=> ((~hskp4) | c0_1(a711))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1968,axiom,((~hskp4) | c0_1(a711)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause90')).
% 1.20/1.42 tff(1969,plain,
% 1.20/1.42 ((~hskp4) | c0_1(a711)),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 1.20/1.42 tff(1970,plain,
% 1.20/1.42 ((~hskp4) | c0_1(a711)),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1969, 1967])).
% 1.20/1.42 tff(1971,plain,
% 1.20/1.42 ((~hskp4) | c0_1(a711)),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1970, 1967])).
% 1.20/1.42 tff(1972,plain,
% 1.20/1.42 ((~hskp4) | c0_1(a711)),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1971, 1967])).
% 1.20/1.42 tff(1973,plain,
% 1.20/1.42 ((~hskp4) | c0_1(a711)),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1972, 1967])).
% 1.20/1.42 tff(1974,plain,
% 1.20/1.42 (c0_1(a711)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1973, 1960])).
% 1.20/1.42 tff(1975,plain,
% 1.20/1.42 (hskp28),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1748, 1942, 34])).
% 1.20/1.42 tff(1976,plain,
% 1.20/1.42 (c2_1(a705)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1617, 1975])).
% 1.20/1.42 tff(1977,plain,
% 1.20/1.42 (c1_1(a705)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1625, 1975])).
% 1.20/1.42 tff(1978,plain,
% 1.20/1.42 (c0_1(a705)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1633, 1975])).
% 1.20/1.42 tff(1979,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | (c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | (~c0_1(a711)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | (~c0_1(a711)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1980,plain,
% 1.20/1.42 (((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a711) | (~c2_1(a711)) | (~c0_1(a711)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709))) <=> (c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | (~c0_1(a711)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1981,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a711) | (~c2_1(a711)) | (~c0_1(a711)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | (c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | (~c0_1(a711)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[1980])).
% 1.20/1.42 tff(1982,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a711) | (~c2_1(a711)) | (~c0_1(a711)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | (~c0_1(a711)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.42 inference(transitivity,[status(thm)],[1981, 1979])).
% 1.20/1.42 tff(1983,plain,
% 1.20/1.42 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c3_1(a711) | (~c2_1(a711)) | (~c0_1(a711)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)))),
% 1.20/1.42 inference(quant_inst,[status(thm)],[])).
% 1.20/1.42 tff(1984,plain,
% 1.20/1.42 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c3_1(W)))) | c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | (~c0_1(a711)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 1.20/1.42 tff(1985,plain,
% 1.20/1.42 (~c2_1(a711)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1984, 133, 897, 866, 1978, 1977, 1976, 1974, 1966, 1526, 1942])).
% 1.20/1.42 tff(1986,plain,
% 1.20/1.42 (((~hskp4) | (~c1_1(a711))) <=> ((~hskp4) | (~c1_1(a711)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1987,plain,
% 1.20/1.42 (((~c1_1(a711)) | (~hskp4)) <=> ((~hskp4) | (~c1_1(a711)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1988,axiom,((~c1_1(a711)) | (~hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause129')).
% 1.20/1.42 tff(1989,plain,
% 1.20/1.42 ((~hskp4) | (~c1_1(a711))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 1.20/1.42 tff(1990,plain,
% 1.20/1.42 ((~hskp4) | (~c1_1(a711))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1989, 1986])).
% 1.20/1.42 tff(1991,plain,
% 1.20/1.42 (~c1_1(a711)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1990, 1960])).
% 1.20/1.42 tff(1992,plain,
% 1.20/1.42 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1993,plain,
% 1.20/1.42 ((hskp24 | hskp18 | (~ndr1_0) | c1_1(a734) | c3_1(a734) | (~c2_1(a734))) <=> (hskp24 | hskp18 | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(1994,plain,
% 1.20/1.42 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a734) | c3_1(a734) | (~c2_1(a734)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734))))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[1993])).
% 1.20/1.42 tff(1995,plain,
% 1.20/1.42 (((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a734) | c3_1(a734) | (~c2_1(a734)))) <=> ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)))),
% 1.20/1.42 inference(transitivity,[status(thm)],[1994, 1992])).
% 1.20/1.42 tff(1996,plain,
% 1.20/1.42 ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp24 | hskp18 | (~ndr1_0) | c1_1(a734) | c3_1(a734) | (~c2_1(a734)))),
% 1.20/1.42 inference(quant_inst,[status(thm)],[])).
% 1.20/1.42 tff(1997,plain,
% 1.20/1.42 ((~![U: $i] : (hskp24 | hskp18 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)))) | hskp24 | hskp18 | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 1.20/1.42 tff(1998,plain,
% 1.20/1.42 (hskp24 | c3_1(a734) | (~c2_1(a734))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1997, 133, 34, 45, 261])).
% 1.20/1.42 tff(1999,plain,
% 1.20/1.42 (hskp24),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[1998, 1941, 1490])).
% 1.20/1.42 tff(2000,plain,
% 1.20/1.42 (~c2_1(a762)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[273, 1999])).
% 1.20/1.42 tff(2001,plain,
% 1.20/1.42 (c3_1(a762)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[281, 1999])).
% 1.20/1.42 tff(2002,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c2_1(a762) | c0_1(a718) | c2_1(a718) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | (~c1_1(a718)) | c1_1(a762) | (~c3_1(a762)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c2_1(a762) | c0_1(a718) | c2_1(a718) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | (~c1_1(a718)) | c1_1(a762) | (~c3_1(a762)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(2003,plain,
% 1.20/1.42 (((~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c3_1(a762)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718))) <=> (c2_1(a762) | c0_1(a718) | c2_1(a718) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | (~c1_1(a718)) | c1_1(a762) | (~c3_1(a762)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(2004,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c3_1(a762)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c2_1(a762) | c0_1(a718) | c2_1(a718) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | (~c1_1(a718)) | c1_1(a762) | (~c3_1(a762))))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[2003])).
% 1.20/1.42 tff(2005,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c3_1(a762)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c2_1(a762) | c0_1(a718) | c2_1(a718) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | (~c1_1(a718)) | c1_1(a762) | (~c3_1(a762)))),
% 1.20/1.42 inference(transitivity,[status(thm)],[2004, 2002])).
% 1.20/1.42 tff(2006,plain,
% 1.20/1.42 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c3_1(a762)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))),
% 1.20/1.42 inference(quant_inst,[status(thm)],[])).
% 1.20/1.42 tff(2007,plain,
% 1.20/1.42 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c2_1(a762) | c0_1(a718) | c2_1(a718) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | (~c1_1(a718)) | c1_1(a762) | (~c3_1(a762))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 1.20/1.42 tff(2008,plain,
% 1.20/1.42 (c1_1(a762)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[2007, 133, 2001, 1764, 1974, 2000, 1763, 1762, 1991, 787, 1985])).
% 1.20/1.42 tff(2009,plain,
% 1.20/1.42 (c0_1(a762)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[289, 1999])).
% 1.20/1.42 tff(2010,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(2011,plain,
% 1.20/1.42 (((~ndr1_0) | (~c3_1(a762)) | (~c1_1(a762)) | (~c0_1(a762)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c3_1(a734) | c1_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(2012,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c3_1(a762)) | (~c1_1(a762)) | (~c0_1(a762)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[2011])).
% 1.20/1.42 tff(2013,plain,
% 1.20/1.42 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c3_1(a762)) | (~c1_1(a762)) | (~c0_1(a762)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c3_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.42 inference(transitivity,[status(thm)],[2012, 2010])).
% 1.20/1.42 tff(2014,plain,
% 1.20/1.42 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c3_1(a762)) | (~c1_1(a762)) | (~c0_1(a762)) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c3_1(a734) | c1_1(a734) | c0_1(a734))),
% 1.20/1.42 inference(quant_inst,[status(thm)],[])).
% 1.20/1.42 tff(2015,plain,
% 1.20/1.42 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c1_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)) | (~c3_1(a762)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 1.20/1.42 tff(2016,plain,
% 1.20/1.42 ($false),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[2015, 133, 897, 866, 2009, 2001, 46, 45, 1490, 1092, 1942, 2008])).
% 1.20/1.42 tff(2017,plain,(c0_1(a734) | c1_1(a734) | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.20/1.42 tff(2018,plain,
% 1.20/1.42 (c0_1(a734)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[2017, 45, 34])).
% 1.20/1.42 tff(2019,plain,
% 1.20/1.42 (~hskp17),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[214, 2018])).
% 1.20/1.42 tff(2020,assumption,(hskp14), introduced(assumption)).
% 1.20/1.42 tff(2021,plain,
% 1.20/1.42 (c1_1(a730)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[156, 2020])).
% 1.20/1.42 tff(2022,plain,
% 1.20/1.42 (~c2_1(a730)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[169, 2020])).
% 1.20/1.42 tff(2023,plain,
% 1.20/1.42 ($false),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[981, 2022, 2021, 34, 47, 83])).
% 1.20/1.42 tff(2024,plain,((~hskp14) | hskp18 | hskp17 | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.20/1.42 tff(2025,plain,
% 1.20/1.42 (~hskp14),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[2024, 83, 47, 34])).
% 1.20/1.42 tff(2026,plain,
% 1.20/1.42 (hskp7),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[994, 2025, 83])).
% 1.20/1.42 tff(2027,plain,
% 1.20/1.42 (~c2_1(a717)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[545, 2026])).
% 1.20/1.42 tff(2028,plain,
% 1.20/1.42 (c0_1(a717)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[522, 2026])).
% 1.20/1.42 tff(2029,plain,
% 1.20/1.42 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(2030,plain,
% 1.20/1.42 ((hskp19 | hskp8 | (~ndr1_0) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717))) <=> (hskp19 | hskp8 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(2031,plain,
% 1.20/1.42 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717))))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[2030])).
% 1.20/1.42 tff(2032,plain,
% 1.20/1.42 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717)))),
% 1.20/1.42 inference(transitivity,[status(thm)],[2031, 2029])).
% 1.20/1.42 tff(2033,plain,
% 1.20/1.42 ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a717) | (~c1_1(a717)) | (~c0_1(a717)))),
% 1.20/1.42 inference(quant_inst,[status(thm)],[])).
% 1.20/1.42 tff(2034,plain,
% 1.20/1.42 ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | (~c1_1(a717))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 1.20/1.42 tff(2035,plain,
% 1.20/1.42 (~c1_1(a717)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[2034, 133, 916, 83, 2028, 2027, 10])).
% 1.20/1.42 tff(2036,plain,
% 1.20/1.42 (^[V: $i, U: $i] : refl((hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))) <=> (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))))),
% 1.20/1.42 inference(bind,[status(th)],[])).
% 1.20/1.42 tff(2037,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.20/1.42 inference(quant_intro,[status(thm)],[2036])).
% 1.20/1.42 tff(2038,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(2039,plain,
% 1.20/1.42 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c3_1(V)) | hskp4) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))) | hskp4))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V))) | hskp4) <=> (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c3_1(V)) | hskp4) <=> (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))))),
% 1.20/1.42 inference(bind,[status(th)],[])).
% 1.20/1.42 tff(2040,plain,
% 1.20/1.42 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c3_1(V)) | hskp4) <=> ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.20/1.42 inference(quant_intro,[status(thm)],[2039])).
% 1.20/1.42 tff(2041,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c3_1(V)) | hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause191')).
% 1.20/1.42 tff(2042,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 1.20/1.42 tff(2043,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[2042, 2038])).
% 1.20/1.42 tff(2044,plain,(
% 1.20/1.42 ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.20/1.42 inference(skolemize,[status(sab)],[2043])).
% 1.20/1.42 tff(2045,plain,
% 1.20/1.42 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[2044, 2037])).
% 1.20/1.42 tff(2046,plain,
% 1.20/1.42 (~c3_1(a717)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[505, 2026])).
% 1.20/1.42 tff(2047,plain,
% 1.20/1.42 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | hskp4 | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(2048,plain,
% 1.20/1.42 ((hskp4 | (~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c3_1(a717) | c1_1(a717) | (~c0_1(a717))) <=> (hskp4 | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2049,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | (~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c3_1(a717) | c1_1(a717) | (~c0_1(a717)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[2048])).
% 1.20/1.43 tff(2050,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | (~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c3_1(a717) | c1_1(a717) | (~c0_1(a717)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | hskp4 | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.43 inference(transitivity,[status(thm)],[2049, 2047])).
% 1.20/1.43 tff(2051,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | (~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c3_1(a717) | c1_1(a717) | (~c0_1(a717)))),
% 1.20/1.43 inference(quant_inst,[status(thm)],[])).
% 1.20/1.43 tff(2052,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | hskp4 | c3_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2051, 2050])).
% 1.20/1.43 tff(2053,plain,
% 1.20/1.43 (hskp4),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2052, 133, 897, 866, 2028, 2046, 2045, 879, 2035])).
% 1.20/1.43 tff(2054,plain,
% 1.20/1.43 (~c3_1(a711)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1965, 2053])).
% 1.20/1.43 tff(2055,plain,
% 1.20/1.43 (~c1_1(a711)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1990, 2053])).
% 1.20/1.43 tff(2056,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c2_1(a717) | c3_1(a717) | c1_1(a711) | c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | c1_1(a717))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c2_1(a717) | c3_1(a717) | c1_1(a711) | c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | c1_1(a717))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2057,plain,
% 1.20/1.43 ((hskp17 | (~ndr1_0) | c1_1(a711) | c3_1(a711) | (~c2_1(a711)) | c3_1(a717) | c1_1(a717) | c2_1(a717)) <=> (hskp17 | c2_1(a717) | c3_1(a717) | c1_1(a711) | c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | c1_1(a717))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2058,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a711) | c3_1(a711) | (~c2_1(a711)) | c3_1(a717) | c1_1(a717) | c2_1(a717))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c2_1(a717) | c3_1(a717) | c1_1(a711) | c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | c1_1(a717)))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[2057])).
% 1.20/1.43 tff(2059,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a711) | c3_1(a711) | (~c2_1(a711)) | c3_1(a717) | c1_1(a717) | c2_1(a717))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c2_1(a717) | c3_1(a717) | c1_1(a711) | c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | c1_1(a717))),
% 1.20/1.43 inference(transitivity,[status(thm)],[2058, 2056])).
% 1.20/1.43 tff(2060,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a711) | c3_1(a711) | (~c2_1(a711)) | c3_1(a717) | c1_1(a717) | c2_1(a717))),
% 1.20/1.43 inference(quant_inst,[status(thm)],[])).
% 1.20/1.43 tff(2061,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c2_1(a717) | c3_1(a717) | c1_1(a711) | c3_1(a711) | (~ndr1_0) | (~c2_1(a711)) | c1_1(a717)),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 1.20/1.43 tff(2062,plain,
% 1.20/1.43 (~c2_1(a711)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2061, 133, 47, 2027, 2046, 2055, 2054, 540, 2035])).
% 1.20/1.43 tff(2063,assumption,(hskp24), introduced(assumption)).
% 1.20/1.43 tff(2064,plain,
% 1.20/1.43 (c0_1(a762)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[289, 2063])).
% 1.20/1.43 tff(2065,plain,
% 1.20/1.43 (~c2_1(a762)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[273, 2063])).
% 1.20/1.43 tff(2066,plain,
% 1.20/1.43 (c3_1(a762)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[281, 2063])).
% 1.20/1.43 tff(2067,plain,
% 1.20/1.43 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | c2_1(a762) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a762) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2068,plain,
% 1.20/1.43 ((hskp19 | hskp8 | (~ndr1_0) | c2_1(a762) | (~c1_1(a762)) | (~c0_1(a762))) <=> (hskp19 | hskp8 | c2_1(a762) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2069,plain,
% 1.20/1.43 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a762) | (~c1_1(a762)) | (~c0_1(a762)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | c2_1(a762) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762))))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[2068])).
% 1.20/1.43 tff(2070,plain,
% 1.20/1.43 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a762) | (~c1_1(a762)) | (~c0_1(a762)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a762) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762)))),
% 1.20/1.43 inference(transitivity,[status(thm)],[2069, 2067])).
% 1.20/1.43 tff(2071,plain,
% 1.20/1.43 ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a762) | (~c1_1(a762)) | (~c0_1(a762)))),
% 1.20/1.43 inference(quant_inst,[status(thm)],[])).
% 1.20/1.43 tff(2072,plain,
% 1.20/1.43 ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a762) | (~ndr1_0) | (~c1_1(a762)) | (~c0_1(a762))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 1.20/1.43 tff(2073,plain,
% 1.20/1.43 (hskp8 | (~c1_1(a762))),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2072, 133, 916, 314, 312, 10])).
% 1.20/1.43 tff(2074,plain,
% 1.20/1.43 (~c1_1(a762)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2073, 83])).
% 1.20/1.43 tff(2075,plain,
% 1.20/1.43 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c3_1(a762)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c3_1(a762)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2076,plain,
% 1.20/1.43 ((hskp17 | hskp14 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c3_1(a762))) <=> (hskp17 | hskp14 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c3_1(a762)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2077,plain,
% 1.20/1.43 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c3_1(a762)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c3_1(a762))))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[2076])).
% 1.20/1.43 tff(2078,plain,
% 1.20/1.43 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c3_1(a762)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c3_1(a762)))),
% 1.20/1.43 inference(transitivity,[status(thm)],[2077, 2075])).
% 1.20/1.43 tff(2079,plain,
% 1.20/1.43 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c3_1(a762)))),
% 1.20/1.43 inference(quant_inst,[status(thm)],[])).
% 1.20/1.43 tff(2080,plain,
% 1.20/1.43 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c2_1(a762) | (~ndr1_0) | c1_1(a762) | (~c3_1(a762))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 1.20/1.43 tff(2081,plain,
% 1.20/1.43 (hskp14 | c1_1(a762)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2080, 133, 47, 313, 312, 101])).
% 1.20/1.43 tff(2082,plain,
% 1.20/1.43 ($false),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2081, 2074, 2025])).
% 1.20/1.43 tff(2083,plain,(hskp8 | hskp17 | (~c3_1(a762)) | c2_1(a762) | (~c0_1(a762)) | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.20/1.43 tff(2084,plain,
% 1.20/1.43 (hskp8),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2083, 2066, 47, 2065, 2064, 34])).
% 1.20/1.43 tff(2085,plain,
% 1.20/1.43 (~c2_1(a718)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[26, 2084])).
% 1.20/1.43 tff(2086,plain,
% 1.20/1.43 (~c0_1(a718)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[32, 2084])).
% 1.20/1.43 tff(2087,plain,
% 1.20/1.43 (c1_1(a718)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[722, 2084])).
% 1.20/1.43 tff(2088,plain,
% 1.20/1.43 (~c3_1(a718)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[729, 133, 34, 47, 2087, 2086, 44])).
% 1.20/1.43 tff(2089,plain,
% 1.20/1.43 (hskp16),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1423, 133, 2064, 2066, 2087, 2065, 2086, 1082, 2088])).
% 1.20/1.43 tff(2090,plain,
% 1.20/1.43 (~c1_1(a732)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1147, 2089])).
% 1.20/1.43 tff(2091,plain,
% 1.20/1.43 (c3_1(a732)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1173, 2089])).
% 1.20/1.43 tff(2092,plain,
% 1.20/1.43 (~c2_1(a732)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1180, 133, 874, 897, 2091, 2087, 2090, 2086, 2085, 20, 879])).
% 1.20/1.43 tff(2093,plain,
% 1.20/1.43 (c0_1(a732)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1155, 2089])).
% 1.20/1.43 tff(2094,plain,
% 1.20/1.43 (hskp30),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1182, 2086, 47, 2085, 34, 2087])).
% 1.20/1.43 tff(2095,plain,
% 1.20/1.43 (c3_1(a714)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[435, 2094])).
% 1.20/1.43 tff(2096,plain,
% 1.20/1.43 (c2_1(a714)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[443, 2094])).
% 1.20/1.43 tff(2097,plain,
% 1.20/1.43 (c0_1(a714)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[451, 2094])).
% 1.20/1.43 tff(2098,plain,
% 1.20/1.43 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2099,plain,
% 1.20/1.43 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a718) | c2_1(a718) | c0_1(a718)) <=> (c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2100,plain,
% 1.20/1.43 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a718) | c2_1(a718) | c0_1(a718))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[2099])).
% 1.20/1.43 tff(2101,plain,
% 1.20/1.43 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a718) | c2_1(a718) | c0_1(a718))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.43 inference(transitivity,[status(thm)],[2100, 2098])).
% 1.20/1.43 tff(2102,plain,
% 1.20/1.43 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a718) | c2_1(a718) | c0_1(a718))),
% 1.20/1.43 inference(quant_inst,[status(thm)],[])).
% 1.20/1.43 tff(2103,plain,
% 1.20/1.43 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a732) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 1.20/1.43 tff(2104,plain,
% 1.20/1.43 ($false),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2103, 133, 2097, 2096, 2095, 2093, 2090, 2086, 2085, 368, 2088, 2092])).
% 1.20/1.43 tff(2105,plain,((~hskp24) | hskp18 | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.20/1.43 tff(2106,plain,
% 1.20/1.43 (~hskp24),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2105, 47, 34])).
% 1.20/1.43 tff(2107,plain,
% 1.20/1.43 (c1_1(a716)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[267, 133, 2106, 34, 1004, 906, 261])).
% 1.20/1.43 tff(2108,plain,
% 1.20/1.43 (^[U: $i] : refl((hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))))),
% 1.20/1.43 inference(bind,[status(th)],[])).
% 1.20/1.43 tff(2109,plain,
% 1.20/1.43 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.43 inference(quant_intro,[status(thm)],[2108])).
% 1.20/1.43 tff(2110,plain,
% 1.20/1.43 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2111,plain,
% 1.20/1.43 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp8) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp8))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp8) <=> (hskp8 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp8) <=> (hskp8 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp8) | hskp0) <=> ((hskp8 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp0))), rewrite(((hskp8 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp0) <=> (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp8) | hskp0) <=> (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))))),
% 1.20/1.43 inference(bind,[status(th)],[])).
% 1.20/1.43 tff(2112,plain,
% 1.20/1.43 (![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp8) | hskp0) <=> ![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.43 inference(quant_intro,[status(thm)],[2111])).
% 1.20/1.43 tff(2113,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp8) | hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause172')).
% 1.20/1.43 tff(2114,plain,
% 1.20/1.43 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2113, 2112])).
% 1.20/1.43 tff(2115,plain,
% 1.20/1.43 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2114, 2110])).
% 1.20/1.43 tff(2116,plain,(
% 1.20/1.43 ![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.43 inference(skolemize,[status(sab)],[2115])).
% 1.20/1.43 tff(2117,plain,
% 1.20/1.43 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2116, 2109])).
% 1.20/1.43 tff(2118,plain,
% 1.20/1.43 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp8 | hskp0 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2119,plain,
% 1.20/1.43 ((hskp8 | hskp0 | (~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716))) <=> (hskp8 | hskp0 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2120,plain,
% 1.20/1.43 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716))))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[2119])).
% 1.20/1.43 tff(2121,plain,
% 1.20/1.43 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp8 | hskp0 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)))),
% 1.20/1.43 inference(transitivity,[status(thm)],[2120, 2118])).
% 1.20/1.43 tff(2122,plain,
% 1.20/1.43 ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)))),
% 1.20/1.43 inference(quant_inst,[status(thm)],[])).
% 1.20/1.43 tff(2123,plain,
% 1.20/1.43 ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp8 | hskp0 | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2122, 2121])).
% 1.20/1.43 tff(2124,plain,
% 1.20/1.43 (hskp0 | (~c1_1(a716))),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2123, 133, 83, 1004, 906, 2117])).
% 1.20/1.43 tff(2125,plain,
% 1.20/1.43 (hskp0),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2124, 2107])).
% 1.20/1.43 tff(2126,plain,
% 1.20/1.43 (((~hskp0) | (~c2_1(a706))) <=> ((~hskp0) | (~c2_1(a706)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2127,plain,
% 1.20/1.43 (((~c2_1(a706)) | (~hskp0)) <=> ((~hskp0) | (~c2_1(a706)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2128,axiom,((~c2_1(a706)) | (~hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause140')).
% 1.20/1.43 tff(2129,plain,
% 1.20/1.43 ((~hskp0) | (~c2_1(a706))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 1.20/1.43 tff(2130,plain,
% 1.20/1.43 ((~hskp0) | (~c2_1(a706))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2129, 2126])).
% 1.20/1.43 tff(2131,plain,
% 1.20/1.43 (~c2_1(a706)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2130, 2125])).
% 1.20/1.43 tff(2132,plain,
% 1.20/1.43 (((~hskp0) | (~c1_1(a706))) <=> ((~hskp0) | (~c1_1(a706)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2133,plain,
% 1.20/1.43 (((~c1_1(a706)) | (~hskp0)) <=> ((~hskp0) | (~c1_1(a706)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2134,axiom,((~c1_1(a706)) | (~hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause139')).
% 1.20/1.43 tff(2135,plain,
% 1.20/1.43 ((~hskp0) | (~c1_1(a706))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2134, 2133])).
% 1.20/1.43 tff(2136,plain,
% 1.20/1.43 ((~hskp0) | (~c1_1(a706))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2135, 2132])).
% 1.20/1.43 tff(2137,plain,
% 1.20/1.43 (~c1_1(a706)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2136, 2125])).
% 1.20/1.43 tff(2138,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a716) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a716)) | (~c1_1(a716)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a716) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a716)) | (~c1_1(a716)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2139,plain,
% 1.20/1.43 (((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706))) <=> (c3_1(a716) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a716)) | (~c1_1(a716)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2140,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a716) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a716)) | (~c1_1(a716))))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[2139])).
% 1.20/1.43 tff(2141,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a716) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a716)) | (~c1_1(a716)))),
% 1.20/1.43 inference(transitivity,[status(thm)],[2140, 2138])).
% 1.20/1.43 tff(2142,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706)))),
% 1.20/1.43 inference(quant_inst,[status(thm)],[])).
% 1.20/1.43 tff(2143,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a716) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a716)) | (~c1_1(a716))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2142, 2141])).
% 1.20/1.43 tff(2144,plain,
% 1.20/1.43 (~c3_1(a706)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2143, 133, 1004, 906, 2137, 2131, 58, 2107])).
% 1.20/1.43 tff(2145,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c0_1(a716)) | (~c1_1(a716)) | (~c0_1(a717)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | hskp16 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c0_1(a716)) | (~c1_1(a716)) | (~c0_1(a717)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2146,plain,
% 1.20/1.43 ((hskp16 | (~ndr1_0) | c3_1(a716) | (~c1_1(a716)) | (~c0_1(a716)) | c3_1(a717) | c2_1(a717) | (~c0_1(a717))) <=> (hskp16 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c0_1(a716)) | (~c1_1(a716)) | (~c0_1(a717)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2147,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | (~ndr1_0) | c3_1(a716) | (~c1_1(a716)) | (~c0_1(a716)) | c3_1(a717) | c2_1(a717) | (~c0_1(a717)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c0_1(a716)) | (~c1_1(a716)) | (~c0_1(a717))))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[2146])).
% 1.20/1.43 tff(2148,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | (~ndr1_0) | c3_1(a716) | (~c1_1(a716)) | (~c0_1(a716)) | c3_1(a717) | c2_1(a717) | (~c0_1(a717)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | hskp16 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c0_1(a716)) | (~c1_1(a716)) | (~c0_1(a717)))),
% 1.20/1.43 inference(transitivity,[status(thm)],[2147, 2145])).
% 1.20/1.43 tff(2149,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp16 | (~ndr1_0) | c3_1(a716) | (~c1_1(a716)) | (~c0_1(a716)) | c3_1(a717) | c2_1(a717) | (~c0_1(a717)))),
% 1.20/1.43 inference(quant_inst,[status(thm)],[])).
% 1.20/1.43 tff(2150,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | hskp16 | c2_1(a717) | c3_1(a717) | c3_1(a716) | (~ndr1_0) | (~c0_1(a716)) | (~c1_1(a716)) | (~c0_1(a717))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2149, 2148])).
% 1.20/1.43 tff(2151,plain,
% 1.20/1.43 (hskp16),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2150, 133, 2028, 1005, 2027, 2046, 906, 1900, 2107])).
% 1.20/1.43 tff(2152,plain,
% 1.20/1.43 (~c1_1(a732)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1147, 2151])).
% 1.20/1.43 tff(2153,plain,
% 1.20/1.43 (c3_1(a732)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1173, 2151])).
% 1.20/1.43 tff(2154,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c1_1(a732) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a732)) | c2_1(a732))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a732) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a732)) | c2_1(a732))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2155,plain,
% 1.20/1.43 (((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a732) | c2_1(a732) | (~c3_1(a732))) <=> (c1_1(a732) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a732)) | c2_1(a732))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2156,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a732) | c2_1(a732) | (~c3_1(a732)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c1_1(a732) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a732)) | c2_1(a732)))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[2155])).
% 1.20/1.43 tff(2157,plain,
% 1.20/1.43 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a732) | c2_1(a732) | (~c3_1(a732)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a732) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a732)) | c2_1(a732))),
% 1.20/1.43 inference(transitivity,[status(thm)],[2156, 2154])).
% 1.20/1.43 tff(2158,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a716) | (~c2_1(a716)) | (~c1_1(a716)) | c1_1(a732) | c2_1(a732) | (~c3_1(a732)))),
% 1.20/1.43 inference(quant_inst,[status(thm)],[])).
% 1.20/1.43 tff(2159,plain,
% 1.20/1.43 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a732) | c3_1(a716) | (~ndr1_0) | (~c2_1(a716)) | (~c1_1(a716)) | (~c3_1(a732)) | c2_1(a732)),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2158, 2157])).
% 1.20/1.43 tff(2160,plain,
% 1.20/1.43 (c2_1(a732)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2159, 133, 2153, 1004, 2152, 906, 58, 2107])).
% 1.20/1.43 tff(2161,plain,
% 1.20/1.43 (((~hskp0) | (~c0_1(a706))) <=> ((~hskp0) | (~c0_1(a706)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2162,plain,
% 1.20/1.43 (((~c0_1(a706)) | (~hskp0)) <=> ((~hskp0) | (~c0_1(a706)))),
% 1.20/1.43 inference(rewrite,[status(thm)],[])).
% 1.20/1.43 tff(2163,axiom,((~c0_1(a706)) | (~hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause138')).
% 1.20/1.43 tff(2164,plain,
% 1.20/1.43 ((~hskp0) | (~c0_1(a706))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2163, 2162])).
% 1.20/1.43 tff(2165,plain,
% 1.20/1.43 ((~hskp0) | (~c0_1(a706))),
% 1.20/1.43 inference(modus_ponens,[status(thm)],[2164, 2161])).
% 1.20/1.43 tff(2166,plain,
% 1.20/1.43 (~c0_1(a706)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[2165, 2125])).
% 1.20/1.43 tff(2167,plain,
% 1.20/1.43 (c0_1(a711)),
% 1.20/1.43 inference(unit_resolution,[status(thm)],[1973, 2053])).
% 1.20/1.44 tff(2168,plain,
% 1.20/1.44 (c0_1(a732)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1155, 2151])).
% 1.20/1.44 tff(2169,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a711) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | c2_1(a711) | (~c0_1(a711)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a732)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a711) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | c2_1(a711) | (~c0_1(a711)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a732)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2170,plain,
% 1.20/1.44 (((~ndr1_0) | (~c2_1(a732)) | (~c3_1(a732)) | (~c0_1(a732)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c3_1(a706) | c2_1(a706) | c0_1(a706)) <=> (c1_1(a711) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | c2_1(a711) | (~c0_1(a711)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a732)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2171,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a732)) | (~c3_1(a732)) | (~c0_1(a732)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c3_1(a706) | c2_1(a706) | c0_1(a706))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a711) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | c2_1(a711) | (~c0_1(a711)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a732))))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[2170])).
% 1.20/1.44 tff(2172,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a732)) | (~c3_1(a732)) | (~c0_1(a732)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c3_1(a706) | c2_1(a706) | c0_1(a706))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a711) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | c2_1(a711) | (~c0_1(a711)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a732)))),
% 1.20/1.44 inference(transitivity,[status(thm)],[2171, 2169])).
% 1.20/1.44 tff(2173,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a732)) | (~c3_1(a732)) | (~c0_1(a732)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c3_1(a706) | c2_1(a706) | c0_1(a706))),
% 1.20/1.44 inference(quant_inst,[status(thm)],[])).
% 1.20/1.44 tff(2174,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a711) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | c2_1(a711) | (~c0_1(a711)) | (~c3_1(a732)) | (~c2_1(a732)) | (~c0_1(a732))),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 1.20/1.44 tff(2175,plain,
% 1.20/1.44 ($false),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2174, 133, 2168, 2153, 2167, 2055, 2166, 2131, 368, 2160, 2144, 2062])).
% 1.20/1.44 tff(2176,plain,(hskp8 | hskp17 | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.20/1.44 tff(2177,plain,
% 1.20/1.44 (hskp8),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2176, 2019, 34])).
% 1.20/1.44 tff(2178,plain,
% 1.20/1.44 (~c0_1(a718)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[32, 2177])).
% 1.20/1.44 tff(2179,plain,
% 1.20/1.44 (c1_1(a718)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[722, 2177])).
% 1.20/1.44 tff(2180,plain,
% 1.20/1.44 (~c3_1(a718)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[729, 133, 34, 2019, 2179, 2178, 44])).
% 1.20/1.44 tff(2181,plain,
% 1.20/1.44 (~c2_1(a718)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[26, 2177])).
% 1.20/1.44 tff(2182,plain,
% 1.20/1.44 (hskp30),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1182, 2178, 2019, 2181, 34, 2179])).
% 1.20/1.44 tff(2183,plain,
% 1.20/1.44 (c3_1(a714)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[435, 2182])).
% 1.20/1.44 tff(2184,plain,
% 1.20/1.44 (c2_1(a714)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[443, 2182])).
% 1.20/1.44 tff(2185,plain,
% 1.20/1.44 (c0_1(a714)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[451, 2182])).
% 1.20/1.44 tff(2186,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~c0_1(a734)) | c1_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (~c0_1(a734)) | c1_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2187,plain,
% 1.20/1.44 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a734) | c2_1(a734) | (~c0_1(a734)) | c3_1(a718) | c2_1(a718) | c0_1(a718)) <=> ((~c0_1(a734)) | c1_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2188,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a734) | c2_1(a734) | (~c0_1(a734)) | c3_1(a718) | c2_1(a718) | c0_1(a718))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~c0_1(a734)) | c1_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[2187])).
% 1.20/1.44 tff(2189,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a734) | c2_1(a734) | (~c0_1(a734)) | c3_1(a718) | c2_1(a718) | c0_1(a718))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (~c0_1(a734)) | c1_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.44 inference(transitivity,[status(thm)],[2188, 2186])).
% 1.20/1.44 tff(2190,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a734) | c2_1(a734) | (~c0_1(a734)) | c3_1(a718) | c2_1(a718) | c0_1(a718))),
% 1.20/1.44 inference(quant_inst,[status(thm)],[])).
% 1.20/1.44 tff(2191,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (~c0_1(a734)) | c1_1(a734) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | c3_1(a718) | c2_1(a734) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 1.20/1.44 tff(2192,plain,
% 1.20/1.44 (c2_1(a734)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2191, 133, 2185, 2184, 2183, 2018, 45, 2178, 2181, 368, 2180])).
% 1.20/1.44 tff(2193,plain,
% 1.20/1.44 (~hskp24),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2105, 2019, 34])).
% 1.20/1.44 tff(2194,plain,
% 1.20/1.44 (c3_1(a734)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1998, 2192, 2193])).
% 1.20/1.44 tff(2195,plain,
% 1.20/1.44 (c0_1(a709)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[878, 2019, 34])).
% 1.20/1.44 tff(2196,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c2_1(a734)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c2_1(a734)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2197,plain,
% 1.20/1.44 (((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718))) <=> (c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c2_1(a734)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2198,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c2_1(a734)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[2197])).
% 1.20/1.44 tff(2199,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c2_1(a734)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.44 inference(transitivity,[status(thm)],[2198, 2196])).
% 1.20/1.44 tff(2200,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))),
% 1.20/1.44 inference(quant_inst,[status(thm)],[])).
% 1.20/1.44 tff(2201,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a734) | (~c3_1(a734)) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c2_1(a734)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 1.20/1.44 tff(2202,plain,
% 1.20/1.44 ((~c3_1(a734)) | (~c2_1(a734))),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2201, 133, 874, 897, 2179, 45, 2178, 2181, 20, 2195])).
% 1.20/1.44 tff(2203,plain,
% 1.20/1.44 ($false),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2202, 2194, 2192])).
% 1.20/1.44 tff(2204,plain,(c1_1(a734) | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.20/1.44 tff(2205,plain,
% 1.20/1.44 (c1_1(a734)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2204, 34])).
% 1.20/1.44 tff(2206,plain,
% 1.20/1.44 (~hskp17),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[220, 2205])).
% 1.20/1.44 tff(2207,plain,
% 1.20/1.44 (c0_1(a709)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[878, 2206, 34])).
% 1.20/1.44 tff(2208,plain,
% 1.20/1.44 (hskp8),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2176, 2206, 34])).
% 1.20/1.44 tff(2209,plain,
% 1.20/1.44 (~c2_1(a718)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[26, 2208])).
% 1.20/1.44 tff(2210,plain,
% 1.20/1.44 (~c0_1(a718)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[32, 2208])).
% 1.20/1.44 tff(2211,plain,
% 1.20/1.44 (c1_1(a718)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[722, 2208])).
% 1.20/1.44 tff(2212,plain,
% 1.20/1.44 (~c3_1(a718)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[729, 133, 34, 2206, 2211, 2210, 44])).
% 1.20/1.44 tff(2213,plain,
% 1.20/1.44 (~hskp24),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2105, 2206, 34])).
% 1.20/1.44 tff(2214,plain,
% 1.20/1.44 ($false),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1852, 133, 2213, 34, 1257, 1249, 1243, 261])).
% 1.20/1.44 tff(2215,plain,((~hskp27) | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.20/1.44 tff(2216,plain,
% 1.20/1.44 (~hskp27),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2215, 34])).
% 1.20/1.44 tff(2217,plain,
% 1.20/1.44 (hskp26 | hskp11),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1326, 133, 2211, 2209, 1320, 2212])).
% 1.20/1.44 tff(2218,plain,
% 1.20/1.44 (hskp26),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2217, 1553])).
% 1.20/1.44 tff(2219,plain,
% 1.20/1.44 (hskp7),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1309, 2218, 2216])).
% 1.20/1.44 tff(2220,plain,
% 1.20/1.44 (hskp16),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1235, 2219, 2209, 2212, 2206, 2211])).
% 1.20/1.44 tff(2221,plain,
% 1.20/1.44 (~c1_1(a732)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1147, 2220])).
% 1.20/1.44 tff(2222,plain,
% 1.20/1.44 (c3_1(a732)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1173, 2220])).
% 1.20/1.44 tff(2223,plain,
% 1.20/1.44 (~c2_1(a732)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1180, 133, 874, 897, 2222, 2211, 2221, 2210, 2209, 20, 2207])).
% 1.20/1.44 tff(2224,plain,
% 1.20/1.44 ((hskp18 | hskp11 | hskp5) <=> (hskp18 | hskp11 | hskp5)),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2225,plain,
% 1.20/1.44 (((hskp18 | hskp11) | hskp5) <=> (hskp18 | hskp11 | hskp5)),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2226,plain,
% 1.20/1.44 ((hskp18 | hskp11) <=> (hskp18 | hskp11)),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2227,plain,
% 1.20/1.44 (((hskp18 | hskp11) | hskp5) <=> ((hskp18 | hskp11) | hskp5)),
% 1.20/1.44 inference(monotonicity,[status(thm)],[2226])).
% 1.20/1.44 tff(2228,plain,
% 1.20/1.44 (((hskp18 | hskp11) | hskp5) <=> (hskp18 | hskp11 | hskp5)),
% 1.20/1.44 inference(transitivity,[status(thm)],[2227, 2225])).
% 1.20/1.44 tff(2229,axiom,((hskp18 | hskp11) | hskp5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause44')).
% 1.20/1.44 tff(2230,plain,
% 1.20/1.44 (hskp18 | hskp11 | hskp5),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 1.20/1.44 tff(2231,plain,
% 1.20/1.44 (hskp18 | hskp11 | hskp5),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2230, 2224])).
% 1.20/1.44 tff(2232,plain,
% 1.20/1.44 (hskp18 | hskp11 | hskp5),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2231, 2224])).
% 1.20/1.44 tff(2233,plain,
% 1.20/1.44 (hskp18 | hskp11 | hskp5),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2232, 2224])).
% 1.20/1.44 tff(2234,plain,
% 1.20/1.44 (hskp18 | hskp11 | hskp5),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2233, 2224])).
% 1.20/1.44 tff(2235,plain,
% 1.20/1.44 (hskp5),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2234, 1553, 34])).
% 1.20/1.44 tff(2236,plain,
% 1.20/1.44 (~c3_1(a713)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[391, 2235])).
% 1.20/1.44 tff(2237,plain,
% 1.20/1.44 (~c2_1(a713)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[397, 2235])).
% 1.20/1.44 tff(2238,plain,
% 1.20/1.44 (~c0_1(a713)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[403, 2235])).
% 1.20/1.44 tff(2239,plain,
% 1.20/1.44 (c0_1(a732)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1155, 2220])).
% 1.20/1.44 tff(2240,plain,
% 1.20/1.44 (hskp30),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1182, 2210, 2206, 2209, 34, 2211])).
% 1.20/1.44 tff(2241,plain,
% 1.20/1.44 (c3_1(a714)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[435, 2240])).
% 1.20/1.44 tff(2242,plain,
% 1.20/1.44 (c2_1(a714)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[443, 2240])).
% 1.20/1.44 tff(2243,plain,
% 1.20/1.44 (c0_1(a714)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[451, 2240])).
% 1.20/1.44 tff(2244,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a732) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a732) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2245,plain,
% 1.20/1.44 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a713) | c2_1(a713) | c0_1(a713)) <=> (c1_1(a732) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2246,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a713) | c2_1(a713) | c0_1(a713))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a732) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[2245])).
% 1.20/1.44 tff(2247,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a713) | c2_1(a713) | c0_1(a713))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a732) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.44 inference(transitivity,[status(thm)],[2246, 2244])).
% 1.20/1.44 tff(2248,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a732) | c2_1(a732) | (~c0_1(a732)) | c3_1(a713) | c2_1(a713) | c0_1(a713))),
% 1.20/1.44 inference(quant_inst,[status(thm)],[])).
% 1.20/1.44 tff(2249,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a732) | c0_1(a713) | c2_1(a713) | c3_1(a713) | (~ndr1_0) | c2_1(a732) | (~c0_1(a732)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2248, 2247])).
% 1.20/1.44 tff(2250,plain,
% 1.20/1.44 ($false),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2249, 133, 2243, 2242, 2241, 2239, 2221, 2238, 2237, 2236, 368, 2223])).
% 1.20/1.44 tff(2251,plain,(hskp11 | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.20/1.44 tff(2252,plain,
% 1.20/1.44 (hskp11),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2251, 34])).
% 1.20/1.44 tff(2253,plain,
% 1.20/1.44 (~c1_1(a721)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1395, 2252])).
% 1.20/1.44 tff(2254,plain,
% 1.20/1.44 (c3_1(a721)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1341, 2252])).
% 1.20/1.44 tff(2255,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a721) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a721) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2256,plain,
% 1.20/1.44 (((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718))) <=> (c1_1(a721) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2257,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a721) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[2256])).
% 1.20/1.44 tff(2258,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a721) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.44 inference(transitivity,[status(thm)],[2257, 2255])).
% 1.20/1.44 tff(2259,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a721) | (~c2_1(a721)) | (~c3_1(a721)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))),
% 1.20/1.44 inference(quant_inst,[status(thm)],[])).
% 1.20/1.44 tff(2260,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a721) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a721)) | (~c2_1(a721)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2259, 2258])).
% 1.20/1.44 tff(2261,plain,
% 1.20/1.44 (~c2_1(a721)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2260, 133, 874, 897, 2254, 2211, 2253, 2210, 2209, 20, 2207])).
% 1.20/1.44 tff(2262,plain,
% 1.20/1.44 (hskp15),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[737, 133, 2206, 2211, 2210, 660, 2212])).
% 1.20/1.44 tff(2263,plain,
% 1.20/1.44 (~c3_1(a731)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[595, 2262])).
% 1.20/1.44 tff(2264,plain,
% 1.20/1.44 (c2_1(a731)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[610, 2262])).
% 1.20/1.44 tff(2265,plain,
% 1.20/1.44 (c1_1(a731)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1412, 133, 2213, 34, 2264, 2263, 261])).
% 1.20/1.44 tff(2266,plain,
% 1.20/1.44 ($false),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1405, 133, 2264, 2254, 2263, 2253, 58, 2265, 2261])).
% 1.20/1.44 tff(2267,plain,(hskp18), inference(lemma,lemma(discharge,[]))).
% 1.20/1.44 tff(2268,plain,
% 1.20/1.44 (~c1_1(a739)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[562, 2267])).
% 1.20/1.44 tff(2269,plain,
% 1.20/1.44 (c1_1(a718)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[722, 21])).
% 1.20/1.44 tff(2270,plain,
% 1.20/1.44 (c3_1(a739)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[570, 2267])).
% 1.20/1.44 tff(2271,plain,
% 1.20/1.44 (c2_1(a739)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[578, 2267])).
% 1.20/1.44 tff(2272,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2273,plain,
% 1.20/1.44 (((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718))) <=> (c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2274,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[2273])).
% 1.20/1.44 tff(2275,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.20/1.44 inference(transitivity,[status(thm)],[2274, 2272])).
% 1.20/1.44 tff(2276,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c1_1(a709)) | (~c0_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c2_1(a718) | c0_1(a718) | (~c1_1(a718)))),
% 1.20/1.44 inference(quant_inst,[status(thm)],[])).
% 1.20/1.44 tff(2277,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c1_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2276, 2275])).
% 1.20/1.44 tff(2278,plain,
% 1.20/1.44 (~c0_1(a709)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2277, 133, 874, 897, 2271, 2270, 2269, 2268, 33, 27, 20])).
% 1.20/1.44 tff(2279,plain,
% 1.20/1.44 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2280,plain,
% 1.20/1.44 ((hskp11 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718))) <=> (hskp11 | c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2281,plain,
% 1.20/1.44 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739))))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[2280])).
% 1.20/1.44 tff(2282,plain,
% 1.20/1.44 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.20/1.44 inference(transitivity,[status(thm)],[2281, 2279])).
% 1.20/1.44 tff(2283,plain,
% 1.20/1.44 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c0_1(a718) | c2_1(a718) | (~c1_1(a718)))),
% 1.20/1.44 inference(quant_inst,[status(thm)],[])).
% 1.20/1.44 tff(2284,plain,
% 1.20/1.44 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c1_1(a739) | c0_1(a718) | c2_1(a718) | (~ndr1_0) | (~c1_1(a718)) | (~c3_1(a739)) | (~c2_1(a739))),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2283, 2282])).
% 1.20/1.44 tff(2285,plain,
% 1.20/1.44 (hskp11),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2284, 133, 2271, 2270, 2269, 2268, 33, 27, 1662])).
% 1.20/1.44 tff(2286,plain,
% 1.20/1.44 (~c1_1(a721)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1395, 2285])).
% 1.20/1.44 tff(2287,plain,
% 1.20/1.44 (~c0_1(a721)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1333, 2285])).
% 1.20/1.44 tff(2288,plain,
% 1.20/1.44 (c3_1(a721)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[1341, 2285])).
% 1.20/1.44 tff(2289,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2290,plain,
% 1.20/1.44 (((~ndr1_0) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c2_1(a721))) <=> (c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.44 inference(rewrite,[status(thm)],[])).
% 1.20/1.44 tff(2291,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c2_1(a721)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[2290])).
% 1.20/1.44 tff(2292,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c2_1(a721)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709)))),
% 1.20/1.44 inference(transitivity,[status(thm)],[2291, 2289])).
% 1.20/1.44 tff(2293,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c0_1(a709) | (~c2_1(a709)) | (~c3_1(a709)) | c1_1(a721) | c0_1(a721) | (~c3_1(a721)) | c1_1(a721) | c0_1(a721) | (~c2_1(a721)))),
% 1.20/1.44 inference(quant_inst,[status(thm)],[])).
% 1.20/1.44 tff(2294,plain,
% 1.20/1.44 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a721) | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | (~c2_1(a721)) | c0_1(a709) | (~c3_1(a709)) | (~c2_1(a709))),
% 1.20/1.44 inference(modus_ponens,[status(thm)],[2293, 2292])).
% 1.20/1.44 tff(2295,plain,
% 1.20/1.44 (~c2_1(a721)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[2294, 133, 897, 866, 2288, 2287, 2286, 633, 2278])).
% 1.20/1.44 tff(2296,assumption,(~hskp2), introduced(assumption)).
% 1.20/1.44 tff(2297,assumption,(hskp18), introduced(assumption)).
% 1.20/1.44 tff(2298,plain,
% 1.20/1.44 (c3_1(a739)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[570, 2297])).
% 1.20/1.44 tff(2299,plain,
% 1.20/1.44 (c2_1(a739)),
% 1.20/1.44 inference(unit_resolution,[status(thm)],[578, 2297])).
% 1.20/1.44 tff(2300,assumption,(c3_1(a709)), introduced(assumption)).
% 1.20/1.44 tff(2301,assumption,(c2_1(a709)), introduced(assumption)).
% 1.20/1.44 tff(2302,assumption,(c1_1(a709)), introduced(assumption)).
% 1.20/1.44 tff(2303,plain,
% 1.20/1.44 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2304,plain,
% 1.20/1.45 (((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c2_1(a739))) <=> (c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2305,plain,
% 1.20/1.45 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c2_1(a739)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709))))),
% 1.20/1.45 inference(monotonicity,[status(thm)],[2304])).
% 1.20/1.45 tff(2306,plain,
% 1.20/1.45 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c2_1(a739)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.20/1.45 inference(transitivity,[status(thm)],[2305, 2303])).
% 1.20/1.45 tff(2307,plain,
% 1.20/1.45 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a739) | c0_1(a739) | (~c2_1(a739)))),
% 1.20/1.45 inference(quant_inst,[status(thm)],[])).
% 1.20/1.45 tff(2308,plain,
% 1.20/1.45 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a739) | (~ndr1_0) | c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2307, 2306])).
% 1.20/1.45 tff(2309,plain,
% 1.20/1.45 (c0_1(a739) | (~c3_1(a739)) | (~c2_1(a739))),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2308, 921, 2302, 2301, 2300, 603, 1436])).
% 1.20/1.45 tff(2310,plain,
% 1.20/1.45 (c0_1(a739)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2309, 2298, 2299])).
% 1.20/1.45 tff(2311,assumption,(~c0_1(a709)), introduced(assumption)).
% 1.20/1.45 tff(2312,plain,
% 1.20/1.45 (^[V: $i, U: $i] : refl((hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))))),
% 1.20/1.45 inference(bind,[status(th)],[])).
% 1.20/1.45 tff(2313,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(quant_intro,[status(thm)],[2312])).
% 1.20/1.45 tff(2314,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2315,plain,
% 1.20/1.45 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp2) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp2))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp2) <=> (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp2) <=> (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))))),
% 1.20/1.45 inference(bind,[status(th)],[])).
% 1.20/1.45 tff(2316,plain,
% 1.20/1.45 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp2) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(quant_intro,[status(thm)],[2315])).
% 1.20/1.45 tff(2317,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause190')).
% 1.20/1.45 tff(2318,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 1.20/1.45 tff(2319,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2318, 2314])).
% 1.20/1.45 tff(2320,plain,(
% 1.20/1.45 ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(skolemize,[status(sab)],[2319])).
% 1.20/1.45 tff(2321,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2320, 2313])).
% 1.20/1.45 tff(2322,plain,
% 1.20/1.45 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2323,plain,
% 1.20/1.45 ((hskp2 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709))) <=> (hskp2 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2324,plain,
% 1.20/1.45 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709))))),
% 1.20/1.45 inference(monotonicity,[status(thm)],[2323])).
% 1.20/1.45 tff(2325,plain,
% 1.20/1.45 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.20/1.45 inference(transitivity,[status(thm)],[2324, 2322])).
% 1.20/1.45 tff(2326,plain,
% 1.20/1.45 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.20/1.45 inference(quant_inst,[status(thm)],[])).
% 1.20/1.45 tff(2327,plain,
% 1.20/1.45 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 1.20/1.45 tff(2328,plain,
% 1.20/1.45 (hskp2 | (~c3_1(a739)) | (~c0_1(a739))),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2327, 921, 2302, 2300, 603, 2321, 2311])).
% 1.20/1.45 tff(2329,plain,
% 1.20/1.45 ($false),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2328, 2310, 2298, 2296])).
% 1.20/1.45 tff(2330,plain,((~hskp18) | hskp2 | (~ndr1_0) | (~c1_1(a709)) | (~c3_1(a709)) | c1_1(a739) | c0_1(a709) | (~c2_1(a709))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.45 tff(2331,plain,
% 1.20/1.45 ((~hskp18) | hskp2 | (~c1_1(a709)) | (~c3_1(a709)) | c1_1(a739) | c0_1(a709) | (~c2_1(a709))),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2330, 133])).
% 1.20/1.45 tff(2332,plain,
% 1.20/1.45 (hskp2 | c0_1(a709)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2331, 874, 866, 897, 2267, 2268])).
% 1.20/1.45 tff(2333,plain,
% 1.20/1.45 (hskp2),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2332, 2278])).
% 1.20/1.45 tff(2334,plain,
% 1.20/1.45 (((~hskp2) | (~c3_1(a708))) <=> ((~hskp2) | (~c3_1(a708)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2335,plain,
% 1.20/1.45 (((~c3_1(a708)) | (~hskp2)) <=> ((~hskp2) | (~c3_1(a708)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2336,axiom,((~c3_1(a708)) | (~hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause135')).
% 1.20/1.45 tff(2337,plain,
% 1.20/1.45 ((~hskp2) | (~c3_1(a708))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 1.20/1.45 tff(2338,plain,
% 1.20/1.45 ((~hskp2) | (~c3_1(a708))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2337, 2334])).
% 1.20/1.45 tff(2339,plain,
% 1.20/1.45 (~c3_1(a708)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2338, 2333])).
% 1.20/1.45 tff(2340,plain,
% 1.20/1.45 (((~hskp2) | c1_1(a708)) <=> ((~hskp2) | c1_1(a708))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2341,axiom,((~hskp2) | c1_1(a708)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause91')).
% 1.20/1.45 tff(2342,plain,
% 1.20/1.45 ((~hskp2) | c1_1(a708)),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 1.20/1.45 tff(2343,plain,
% 1.20/1.45 ((~hskp2) | c1_1(a708)),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2342, 2340])).
% 1.20/1.45 tff(2344,plain,
% 1.20/1.45 ((~hskp2) | c1_1(a708)),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2343, 2340])).
% 1.20/1.45 tff(2345,plain,
% 1.20/1.45 ((~hskp2) | c1_1(a708)),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2344, 2340])).
% 1.20/1.45 tff(2346,plain,
% 1.20/1.45 ((~hskp2) | c1_1(a708)),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2345, 2340])).
% 1.20/1.45 tff(2347,plain,
% 1.20/1.45 (c1_1(a708)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2346, 2333])).
% 1.20/1.45 tff(2348,plain,
% 1.20/1.45 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c1_1(a721) | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)) | (~c3_1(a721)) | c2_1(a721))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a721) | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)) | (~c3_1(a721)) | c2_1(a721))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2349,plain,
% 1.20/1.45 (((~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)) | c1_1(a721) | c2_1(a721) | (~c3_1(a721))) <=> (c1_1(a721) | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)) | (~c3_1(a721)) | c2_1(a721))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2350,plain,
% 1.20/1.45 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)) | c1_1(a721) | c2_1(a721) | (~c3_1(a721)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c1_1(a721) | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)) | (~c3_1(a721)) | c2_1(a721)))),
% 1.20/1.45 inference(monotonicity,[status(thm)],[2349])).
% 1.20/1.45 tff(2351,plain,
% 1.20/1.45 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)) | c1_1(a721) | c2_1(a721) | (~c3_1(a721)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a721) | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)) | (~c3_1(a721)) | c2_1(a721))),
% 1.20/1.45 inference(transitivity,[status(thm)],[2350, 2348])).
% 1.20/1.45 tff(2352,plain,
% 1.20/1.45 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)) | c1_1(a721) | c2_1(a721) | (~c3_1(a721)))),
% 1.20/1.45 inference(quant_inst,[status(thm)],[])).
% 1.20/1.45 tff(2353,plain,
% 1.20/1.45 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c1_1(a721) | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)) | (~c3_1(a721)) | c2_1(a721)),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2352, 2351])).
% 1.20/1.45 tff(2354,plain,
% 1.20/1.45 (~c2_1(a708)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2353, 133, 2288, 2347, 2286, 2339, 58, 2295])).
% 1.20/1.45 tff(2355,plain,
% 1.20/1.45 (((~hskp2) | (~c0_1(a708))) <=> ((~hskp2) | (~c0_1(a708)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2356,plain,
% 1.20/1.45 (((~c0_1(a708)) | (~hskp2)) <=> ((~hskp2) | (~c0_1(a708)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2357,axiom,((~c0_1(a708)) | (~hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause134')).
% 1.20/1.45 tff(2358,plain,
% 1.20/1.45 ((~hskp2) | (~c0_1(a708))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2357, 2356])).
% 1.20/1.45 tff(2359,plain,
% 1.20/1.45 ((~hskp2) | (~c0_1(a708))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2358, 2355])).
% 1.20/1.45 tff(2360,plain,
% 1.20/1.45 (~c0_1(a708)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2359, 2333])).
% 1.20/1.45 tff(2361,plain,
% 1.20/1.45 (c0_1(a739)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[641, 2270, 2268, 2271])).
% 1.20/1.45 tff(2362,plain,
% 1.20/1.45 (^[V: $i, U: $i] : refl((hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))))),
% 1.20/1.45 inference(bind,[status(th)],[])).
% 1.20/1.45 tff(2363,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(quant_intro,[status(thm)],[2362])).
% 1.20/1.45 tff(2364,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2365,plain,
% 1.20/1.45 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp28) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp28))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp28) <=> (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp28) <=> (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))))),
% 1.20/1.45 inference(bind,[status(th)],[])).
% 1.20/1.45 tff(2366,plain,
% 1.20/1.45 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp28) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(quant_intro,[status(thm)],[2365])).
% 1.20/1.45 tff(2367,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause194')).
% 1.20/1.45 tff(2368,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 1.20/1.45 tff(2369,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2368, 2364])).
% 1.20/1.45 tff(2370,plain,(
% 1.20/1.45 ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(skolemize,[status(sab)],[2369])).
% 1.20/1.45 tff(2371,plain,
% 1.20/1.45 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2370, 2363])).
% 1.20/1.45 tff(2372,plain,
% 1.20/1.45 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp28 | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2373,plain,
% 1.20/1.45 ((hskp28 | (~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709))) <=> (hskp28 | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2374,plain,
% 1.20/1.45 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709))))),
% 1.20/1.45 inference(monotonicity,[status(thm)],[2373])).
% 1.20/1.45 tff(2375,plain,
% 1.20/1.45 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp28 | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.20/1.45 inference(transitivity,[status(thm)],[2374, 2372])).
% 1.20/1.45 tff(2376,plain,
% 1.20/1.45 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.20/1.45 inference(quant_inst,[status(thm)],[])).
% 1.20/1.45 tff(2377,plain,
% 1.20/1.45 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp28 | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2376, 2375])).
% 1.20/1.45 tff(2378,plain,
% 1.20/1.45 (hskp28),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2377, 133, 874, 866, 2271, 2270, 2371, 2278, 2361])).
% 1.20/1.45 tff(2379,plain,
% 1.20/1.45 (c2_1(a705)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1617, 2378])).
% 1.20/1.45 tff(2380,plain,
% 1.20/1.45 (c1_1(a705)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1625, 2378])).
% 1.20/1.45 tff(2381,plain,
% 1.20/1.45 (c0_1(a705)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1633, 2378])).
% 1.20/1.45 tff(2382,plain,
% 1.20/1.45 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a739) | c0_1(a708) | (~ndr1_0) | c2_1(a708) | (~c1_1(a708)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a739) | c0_1(a708) | (~ndr1_0) | c2_1(a708) | (~c1_1(a708)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2383,plain,
% 1.20/1.45 (((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c2_1(a708) | c0_1(a708) | (~c1_1(a708))) <=> (c1_1(a739) | c0_1(a708) | (~ndr1_0) | c2_1(a708) | (~c1_1(a708)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2384,plain,
% 1.20/1.45 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c2_1(a708) | c0_1(a708) | (~c1_1(a708)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a739) | c0_1(a708) | (~ndr1_0) | c2_1(a708) | (~c1_1(a708)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705))))),
% 1.20/1.45 inference(monotonicity,[status(thm)],[2383])).
% 1.20/1.45 tff(2385,plain,
% 1.20/1.45 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c2_1(a708) | c0_1(a708) | (~c1_1(a708)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a739) | c0_1(a708) | (~ndr1_0) | c2_1(a708) | (~c1_1(a708)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)))),
% 1.20/1.45 inference(transitivity,[status(thm)],[2384, 2382])).
% 1.20/1.45 tff(2386,plain,
% 1.20/1.45 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c2_1(a708) | c0_1(a708) | (~c1_1(a708)))),
% 1.20/1.45 inference(quant_inst,[status(thm)],[])).
% 1.20/1.45 tff(2387,plain,
% 1.20/1.45 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a739) | c0_1(a708) | (~ndr1_0) | c2_1(a708) | (~c1_1(a708)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2386, 2385])).
% 1.20/1.45 tff(2388,plain,
% 1.20/1.45 ($false),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2387, 133, 2381, 2380, 2379, 2271, 2270, 2347, 2268, 2360, 20, 2354])).
% 1.20/1.45 tff(2389,plain,(~hskp8), inference(lemma,lemma(discharge,[]))).
% 1.20/1.45 tff(2390,assumption,(~hskp1), introduced(assumption)).
% 1.20/1.45 tff(2391,plain,
% 1.20/1.45 ($false),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1724, 133, 83, 2390, 913, 912, 911, 1500])).
% 1.20/1.45 tff(2392,plain,((~hskp19) | hskp8 | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.20/1.45 tff(2393,plain,
% 1.20/1.45 (~hskp19),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2392, 2390, 83])).
% 1.20/1.45 tff(2394,assumption,(hskp23), introduced(assumption)).
% 1.20/1.45 tff(2395,plain,
% 1.20/1.45 (~c2_1(a757)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1118, 2394])).
% 1.20/1.45 tff(2396,plain,
% 1.20/1.45 (c1_1(a757)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1126, 2394])).
% 1.20/1.45 tff(2397,plain,
% 1.20/1.45 (c0_1(a757)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1134, 2394])).
% 1.20/1.45 tff(2398,plain,
% 1.20/1.45 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2399,plain,
% 1.20/1.45 ((hskp19 | hskp8 | (~ndr1_0) | c2_1(a757) | (~c1_1(a757)) | (~c0_1(a757))) <=> (hskp19 | hskp8 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757)))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2400,plain,
% 1.20/1.45 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a757) | (~c1_1(a757)) | (~c0_1(a757)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757))))),
% 1.20/1.45 inference(monotonicity,[status(thm)],[2399])).
% 1.20/1.45 tff(2401,plain,
% 1.20/1.45 (((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a757) | (~c1_1(a757)) | (~c0_1(a757)))) <=> ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757)))),
% 1.20/1.45 inference(transitivity,[status(thm)],[2400, 2398])).
% 1.20/1.45 tff(2402,plain,
% 1.20/1.45 ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp19 | hskp8 | (~ndr1_0) | c2_1(a757) | (~c1_1(a757)) | (~c0_1(a757)))),
% 1.20/1.45 inference(quant_inst,[status(thm)],[])).
% 1.20/1.45 tff(2403,plain,
% 1.20/1.45 ((~![U: $i] : (hskp19 | hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp19 | hskp8 | c2_1(a757) | (~ndr1_0) | (~c1_1(a757)) | (~c0_1(a757))),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 1.20/1.45 tff(2404,plain,
% 1.20/1.45 ($false),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2403, 133, 922, 83, 2397, 2396, 2395, 10])).
% 1.20/1.45 tff(2405,plain,((~hskp23) | hskp19 | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.20/1.45 tff(2406,plain,
% 1.20/1.45 (~hskp23),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2405, 2393, 83])).
% 1.20/1.45 tff(2407,plain,
% 1.20/1.45 (hskp30),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1112, 2406, 47])).
% 1.20/1.45 tff(2408,plain,
% 1.20/1.45 (c0_1(a714)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[451, 2407])).
% 1.20/1.45 tff(2409,plain,
% 1.20/1.45 (~c0_1(a730)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[176, 133, 2393, 83, 2021, 2022, 10])).
% 1.20/1.45 tff(2410,plain,
% 1.20/1.45 (c3_1(a730)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[148, 2020])).
% 1.20/1.45 tff(2411,plain,
% 1.20/1.45 ($false),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1712, 133, 83, 2390, 2021, 2410, 1500, 2409])).
% 1.20/1.45 tff(2412,plain,((~hskp14) | hskp8 | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.20/1.45 tff(2413,plain,
% 1.20/1.45 (~hskp14),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2412, 2390, 83])).
% 1.20/1.45 tff(2414,assumption,(~hskp14), introduced(assumption)).
% 1.20/1.45 tff(2415,plain,
% 1.20/1.45 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2416,plain,
% 1.20/1.45 ((hskp17 | hskp14 | (~ndr1_0) | c2_1(a721) | c1_1(a721) | (~c3_1(a721))) <=> (hskp17 | hskp14 | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721))),
% 1.20/1.45 inference(rewrite,[status(thm)],[])).
% 1.20/1.45 tff(2417,plain,
% 1.20/1.45 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a721) | c1_1(a721) | (~c3_1(a721)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721)))),
% 1.20/1.45 inference(monotonicity,[status(thm)],[2416])).
% 1.20/1.45 tff(2418,plain,
% 1.20/1.45 (((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a721) | c1_1(a721) | (~c3_1(a721)))) <=> ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721))),
% 1.20/1.45 inference(transitivity,[status(thm)],[2417, 2415])).
% 1.20/1.45 tff(2419,plain,
% 1.20/1.45 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp17 | hskp14 | (~ndr1_0) | c2_1(a721) | c1_1(a721) | (~c3_1(a721)))),
% 1.20/1.45 inference(quant_inst,[status(thm)],[])).
% 1.20/1.45 tff(2420,plain,
% 1.20/1.45 ((~![U: $i] : (hskp17 | hskp14 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp17 | hskp14 | c1_1(a721) | (~ndr1_0) | (~c3_1(a721)) | c2_1(a721)),
% 1.20/1.45 inference(modus_ponens,[status(thm)],[2419, 2418])).
% 1.20/1.45 tff(2421,plain,
% 1.20/1.45 (c2_1(a721)),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[2420, 133, 47, 2414, 1507, 1503, 101])).
% 1.20/1.45 tff(2422,plain,
% 1.20/1.45 ($false),
% 1.20/1.45 inference(unit_resolution,[status(thm)],[1837, 133, 1507, 1504, 1503, 633, 2421])).
% 1.20/1.45 tff(2423,plain,((~hskp11) | hskp17 | hskp14), inference(lemma,lemma(discharge,[]))).
% 1.20/1.46 tff(2424,plain,
% 1.20/1.46 (~hskp11),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[2423, 2413, 47])).
% 1.20/1.46 tff(2425,plain,
% 1.20/1.46 (hskp22),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[1561, 2424, 83])).
% 1.20/1.46 tff(2426,plain,
% 1.20/1.46 (~c3_1(a756)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[1567, 2425])).
% 1.20/1.46 tff(2427,plain,
% 1.20/1.46 (c2_1(a756)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[1575, 2425])).
% 1.20/1.46 tff(2428,plain,
% 1.20/1.46 (c1_1(a756)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[1583, 2425])).
% 1.20/1.46 tff(2429,plain,
% 1.20/1.46 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | c3_1(a756) | (~ndr1_0) | (~c2_1(a756)) | (~c1_1(a756)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp8 | hskp0 | c3_1(a756) | (~ndr1_0) | (~c2_1(a756)) | (~c1_1(a756)))),
% 1.20/1.46 inference(rewrite,[status(thm)],[])).
% 1.20/1.46 tff(2430,plain,
% 1.20/1.46 ((hskp8 | hskp0 | (~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c1_1(a756))) <=> (hskp8 | hskp0 | c3_1(a756) | (~ndr1_0) | (~c2_1(a756)) | (~c1_1(a756)))),
% 1.20/1.46 inference(rewrite,[status(thm)],[])).
% 1.20/1.46 tff(2431,plain,
% 1.20/1.46 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c1_1(a756)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | c3_1(a756) | (~ndr1_0) | (~c2_1(a756)) | (~c1_1(a756))))),
% 1.20/1.46 inference(monotonicity,[status(thm)],[2430])).
% 1.20/1.46 tff(2432,plain,
% 1.20/1.46 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c1_1(a756)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp8 | hskp0 | c3_1(a756) | (~ndr1_0) | (~c2_1(a756)) | (~c1_1(a756)))),
% 1.20/1.46 inference(transitivity,[status(thm)],[2431, 2429])).
% 1.20/1.46 tff(2433,plain,
% 1.20/1.46 ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c1_1(a756)))),
% 1.20/1.46 inference(quant_inst,[status(thm)],[])).
% 1.20/1.46 tff(2434,plain,
% 1.20/1.46 ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp8 | hskp0 | c3_1(a756) | (~ndr1_0) | (~c2_1(a756)) | (~c1_1(a756))),
% 1.20/1.46 inference(modus_ponens,[status(thm)],[2433, 2432])).
% 1.20/1.46 tff(2435,plain,
% 1.20/1.46 (hskp0),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[2434, 133, 83, 2428, 2427, 2426, 2117])).
% 1.20/1.46 tff(2436,plain,
% 1.20/1.46 (~c2_1(a706)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[2130, 2435])).
% 1.20/1.46 tff(2437,plain,
% 1.20/1.46 (hskp7),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[994, 2413, 83])).
% 1.20/1.46 tff(2438,plain,
% 1.20/1.46 (c3_1(a714)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[435, 2407])).
% 1.20/1.46 tff(2439,plain,
% 1.20/1.46 (c2_1(a714)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[443, 2407])).
% 1.20/1.46 tff(2440,plain,
% 1.20/1.46 (~c0_1(a706)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[2165, 2435])).
% 1.20/1.46 tff(2441,plain,
% 1.20/1.46 (~c1_1(a717)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[2034, 133, 922, 83, 1207, 1206, 10])).
% 1.20/1.46 tff(2442,assumption,(~c3_1(a706)), introduced(assumption)).
% 1.20/1.46 tff(2443,assumption,(~c2_1(a706)), introduced(assumption)).
% 1.20/1.46 tff(2444,assumption,(~c0_1(a706)), introduced(assumption)).
% 1.20/1.46 tff(2445,plain,
% 1.20/1.46 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c2_1(a717) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c2_1(a717) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.46 inference(rewrite,[status(thm)],[])).
% 1.20/1.46 tff(2446,plain,
% 1.20/1.46 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a706) | c2_1(a706) | c0_1(a706)) <=> (c2_1(a717) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.46 inference(rewrite,[status(thm)],[])).
% 1.20/1.46 tff(2447,plain,
% 1.20/1.46 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a706) | c2_1(a706) | c0_1(a706))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c2_1(a717) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.20/1.46 inference(monotonicity,[status(thm)],[2446])).
% 1.20/1.46 tff(2448,plain,
% 1.20/1.46 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a706) | c2_1(a706) | c0_1(a706))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c2_1(a717) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.20/1.46 inference(transitivity,[status(thm)],[2447, 2445])).
% 1.20/1.46 tff(2449,plain,
% 1.20/1.46 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a706) | c2_1(a706) | c0_1(a706))),
% 1.20/1.46 inference(quant_inst,[status(thm)],[])).
% 1.20/1.46 tff(2450,plain,
% 1.20/1.46 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c2_1(a717) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a717)) | c1_1(a717) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.20/1.46 inference(modus_ponens,[status(thm)],[2449, 2448])).
% 1.20/1.46 tff(2451,plain,
% 1.20/1.46 ($false),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[2450, 133, 1195, 1194, 1193, 1207, 1206, 2444, 2443, 368, 2442, 2441])).
% 1.20/1.46 tff(2452,plain,((~hskp7) | (~c0_1(a714)) | (~c2_1(a714)) | (~c3_1(a714)) | c0_1(a706) | c2_1(a706) | c3_1(a706) | hskp19 | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.20/1.46 tff(2453,plain,
% 1.20/1.46 (c3_1(a706)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[2452, 2440, 2439, 2438, 2437, 2436, 2408, 2393, 83])).
% 1.20/1.46 tff(2454,plain,
% 1.20/1.46 (~c2_1(a717)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[545, 2437])).
% 1.20/1.46 tff(2455,plain,
% 1.20/1.46 (c0_1(a717)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[522, 2437])).
% 1.20/1.46 tff(2456,plain,
% 1.20/1.46 (~c1_1(a717)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[2034, 133, 2393, 83, 2455, 2454, 10])).
% 1.20/1.46 tff(2457,plain,
% 1.20/1.46 (~c3_1(a717)),
% 1.20/1.46 inference(unit_resolution,[status(thm)],[505, 2437])).
% 1.20/1.46 tff(2458,plain,
% 1.20/1.46 (^[V: $i, U: $i] : refl((hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) <=> (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))))),
% 1.20/1.46 inference(bind,[status(th)],[])).
% 1.20/1.46 tff(2459,plain,
% 1.20/1.46 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.20/1.46 inference(quant_intro,[status(thm)],[2458])).
% 1.20/1.46 tff(2460,plain,
% 1.20/1.46 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.20/1.46 inference(rewrite,[status(thm)],[])).
% 1.20/1.46 tff(2461,plain,
% 1.20/1.46 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c1_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c1_1(V)) | hskp25) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) | hskp25))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) | hskp25) <=> (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c1_1(V)) | hskp25) <=> (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))))),
% 1.30/1.46 inference(bind,[status(th)],[])).
% 1.30/1.46 tff(2462,plain,
% 1.30/1.46 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c1_1(V)) | hskp25) <=> ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.30/1.46 inference(quant_intro,[status(thm)],[2461])).
% 1.30/1.46 tff(2463,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c1_1(V)) | hskp25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause195')).
% 1.30/1.46 tff(2464,plain,
% 1.30/1.46 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2463, 2462])).
% 1.30/1.46 tff(2465,plain,
% 1.30/1.46 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2464, 2460])).
% 1.30/1.46 tff(2466,plain,(
% 1.30/1.46 ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.30/1.46 inference(skolemize,[status(sab)],[2465])).
% 1.30/1.46 tff(2467,plain,
% 1.30/1.46 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2466, 2459])).
% 1.30/1.46 tff(2468,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp25 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | hskp25 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2469,plain,
% 1.30/1.46 ((hskp25 | (~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739))) <=> (hskp25 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2470,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp25 | (~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp25 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739))))),
% 1.30/1.46 inference(monotonicity,[status(thm)],[2469])).
% 1.30/1.46 tff(2471,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp25 | (~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | hskp25 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)))),
% 1.30/1.46 inference(transitivity,[status(thm)],[2470, 2468])).
% 1.30/1.46 tff(2472,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp25 | (~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)))),
% 1.30/1.46 inference(quant_inst,[status(thm)],[])).
% 1.30/1.46 tff(2473,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | hskp25 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 1.30/1.46 tff(2474,plain,
% 1.30/1.46 (hskp25),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2473, 133, 2271, 2270, 2268, 2467, 2361])).
% 1.30/1.46 tff(2475,plain,
% 1.30/1.46 (((~hskp25) | (~c1_1(a764))) <=> ((~hskp25) | (~c1_1(a764)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2476,plain,
% 1.30/1.46 (((~c1_1(a764)) | (~hskp25)) <=> ((~hskp25) | (~c1_1(a764)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2477,axiom,((~c1_1(a764)) | (~hskp25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause96')).
% 1.30/1.46 tff(2478,plain,
% 1.30/1.46 ((~hskp25) | (~c1_1(a764))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 1.30/1.46 tff(2479,plain,
% 1.30/1.46 ((~hskp25) | (~c1_1(a764))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2478, 2475])).
% 1.30/1.46 tff(2480,plain,
% 1.30/1.46 (~c1_1(a764)),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2479, 2474])).
% 1.30/1.46 tff(2481,plain,
% 1.30/1.46 (((~hskp25) | c2_1(a764)) <=> ((~hskp25) | c2_1(a764))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2482,axiom,((~hskp25) | c2_1(a764)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause61')).
% 1.30/1.46 tff(2483,plain,
% 1.30/1.46 ((~hskp25) | c2_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2482, 2481])).
% 1.30/1.46 tff(2484,plain,
% 1.30/1.46 ((~hskp25) | c2_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2483, 2481])).
% 1.30/1.46 tff(2485,plain,
% 1.30/1.46 ((~hskp25) | c2_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2484, 2481])).
% 1.30/1.46 tff(2486,plain,
% 1.30/1.46 ((~hskp25) | c2_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2485, 2481])).
% 1.30/1.46 tff(2487,plain,
% 1.30/1.46 ((~hskp25) | c2_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2486, 2481])).
% 1.30/1.46 tff(2488,plain,
% 1.30/1.46 (c2_1(a764)),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2487, 2474])).
% 1.30/1.46 tff(2489,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c1_1(a764) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | c1_1(a717) | c3_1(a764) | (~c2_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a764) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | c1_1(a717) | c3_1(a764) | (~c2_1(a764)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2490,plain,
% 1.30/1.46 ((hskp17 | (~ndr1_0) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)) | c3_1(a717) | c1_1(a717) | c2_1(a717)) <=> (hskp17 | c1_1(a764) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | c1_1(a717) | c3_1(a764) | (~c2_1(a764)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2491,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)) | c3_1(a717) | c1_1(a717) | c2_1(a717))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c1_1(a764) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | c1_1(a717) | c3_1(a764) | (~c2_1(a764))))),
% 1.30/1.46 inference(monotonicity,[status(thm)],[2490])).
% 1.30/1.46 tff(2492,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)) | c3_1(a717) | c1_1(a717) | c2_1(a717))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a764) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | c1_1(a717) | c3_1(a764) | (~c2_1(a764)))),
% 1.30/1.46 inference(transitivity,[status(thm)],[2491, 2489])).
% 1.30/1.46 tff(2493,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)) | c3_1(a717) | c1_1(a717) | c2_1(a717))),
% 1.30/1.46 inference(quant_inst,[status(thm)],[])).
% 1.30/1.46 tff(2494,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a764) | c2_1(a717) | c3_1(a717) | (~ndr1_0) | c1_1(a717) | c3_1(a764) | (~c2_1(a764))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2493, 2492])).
% 1.30/1.46 tff(2495,plain,
% 1.30/1.46 (c3_1(a764)),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2494, 133, 47, 2488, 2480, 2454, 2457, 540, 2456])).
% 1.30/1.46 tff(2496,plain,
% 1.30/1.46 (^[V: $i, U: $i] : refl((hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))),
% 1.30/1.46 inference(bind,[status(th)],[])).
% 1.30/1.46 tff(2497,plain,
% 1.30/1.46 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.30/1.46 inference(quant_intro,[status(thm)],[2496])).
% 1.30/1.46 tff(2498,plain,
% 1.30/1.46 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2499,plain,
% 1.30/1.46 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | hskp23) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | hskp23))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | hskp23) <=> (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | hskp23) <=> (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))))),
% 1.30/1.46 inference(bind,[status(th)],[])).
% 1.30/1.46 tff(2500,plain,
% 1.30/1.46 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | hskp23) <=> ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.30/1.46 inference(quant_intro,[status(thm)],[2499])).
% 1.30/1.46 tff(2501,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause187')).
% 1.30/1.46 tff(2502,plain,
% 1.30/1.46 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2501, 2500])).
% 1.30/1.46 tff(2503,plain,
% 1.30/1.46 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2502, 2498])).
% 1.30/1.46 tff(2504,plain,(
% 1.30/1.46 ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.30/1.46 inference(skolemize,[status(sab)],[2503])).
% 1.30/1.46 tff(2505,plain,
% 1.30/1.46 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2504, 2497])).
% 1.30/1.46 tff(2506,plain,
% 1.30/1.46 (~c1_1(a706)),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2136, 2435])).
% 1.30/1.46 tff(2507,plain,
% 1.30/1.46 (((~hskp25) | c0_1(a764)) <=> ((~hskp25) | c0_1(a764))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2508,axiom,((~hskp25) | c0_1(a764)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause60')).
% 1.30/1.46 tff(2509,plain,
% 1.30/1.46 ((~hskp25) | c0_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2508, 2507])).
% 1.30/1.46 tff(2510,plain,
% 1.30/1.46 ((~hskp25) | c0_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2509, 2507])).
% 1.30/1.46 tff(2511,plain,
% 1.30/1.46 ((~hskp25) | c0_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2510, 2507])).
% 1.30/1.46 tff(2512,plain,
% 1.30/1.46 ((~hskp25) | c0_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2511, 2507])).
% 1.30/1.46 tff(2513,plain,
% 1.30/1.46 ((~hskp25) | c0_1(a764)),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2512, 2507])).
% 1.30/1.46 tff(2514,plain,
% 1.30/1.46 (c0_1(a764)),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2513, 2474])).
% 1.30/1.46 tff(2515,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | c1_1(a764) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c3_1(a764)) | (~c0_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp23 | c1_1(a764) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c3_1(a764)) | (~c0_1(a764)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2516,plain,
% 1.30/1.46 ((hskp23 | (~ndr1_0) | c1_1(a764) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706))) <=> (hskp23 | c1_1(a764) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c3_1(a764)) | (~c0_1(a764)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2517,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | (~ndr1_0) | c1_1(a764) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | c1_1(a764) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c3_1(a764)) | (~c0_1(a764))))),
% 1.30/1.46 inference(monotonicity,[status(thm)],[2516])).
% 1.30/1.46 tff(2518,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | (~ndr1_0) | c1_1(a764) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp23 | c1_1(a764) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c3_1(a764)) | (~c0_1(a764)))),
% 1.30/1.46 inference(transitivity,[status(thm)],[2517, 2515])).
% 1.30/1.46 tff(2519,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | (~ndr1_0) | c1_1(a764) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706)))),
% 1.30/1.46 inference(quant_inst,[status(thm)],[])).
% 1.30/1.46 tff(2520,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp23 | c1_1(a764) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c3_1(a764)) | (~c0_1(a764))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2519, 2518])).
% 1.30/1.46 tff(2521,plain,
% 1.30/1.46 ($false),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2520, 133, 2406, 2514, 2480, 2506, 2436, 2505, 2495, 2453])).
% 1.30/1.46 tff(2522,plain,(hskp1 | hskp8 | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.30/1.46 tff(2523,plain,
% 1.30/1.46 (hskp1),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2522, 83, 47])).
% 1.30/1.46 tff(2524,plain,
% 1.30/1.46 (~c2_1(a707)),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[1682, 2523])).
% 1.30/1.46 tff(2525,plain,
% 1.30/1.46 (~c1_1(a707)),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[1688, 2523])).
% 1.30/1.46 tff(2526,plain,
% 1.30/1.46 (~hskp23),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2405, 922, 83])).
% 1.30/1.46 tff(2527,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | c1_1(a739) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c3_1(a739)) | (~c0_1(a739)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp23 | c1_1(a739) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c3_1(a739)) | (~c0_1(a739)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2528,plain,
% 1.30/1.46 ((hskp23 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a707) | c2_1(a707) | (~c3_1(a707))) <=> (hskp23 | c1_1(a739) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c3_1(a739)) | (~c0_1(a739)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2529,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a707) | c2_1(a707) | (~c3_1(a707)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | c1_1(a739) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c3_1(a739)) | (~c0_1(a739))))),
% 1.30/1.46 inference(monotonicity,[status(thm)],[2528])).
% 1.30/1.46 tff(2530,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a707) | c2_1(a707) | (~c3_1(a707)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp23 | c1_1(a739) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c3_1(a739)) | (~c0_1(a739)))),
% 1.30/1.46 inference(transitivity,[status(thm)],[2529, 2527])).
% 1.30/1.46 tff(2531,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp23 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a707) | c2_1(a707) | (~c3_1(a707)))),
% 1.30/1.46 inference(quant_inst,[status(thm)],[])).
% 1.30/1.46 tff(2532,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp23 | c1_1(a739) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c3_1(a739)) | (~c0_1(a739))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2531, 2530])).
% 1.30/1.46 tff(2533,plain,
% 1.30/1.46 (hskp23 | (~c3_1(a707))),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2532, 133, 2270, 2268, 2525, 2524, 2505, 2361])).
% 1.30/1.46 tff(2534,plain,
% 1.30/1.46 (~c3_1(a707)),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2533, 2526])).
% 1.30/1.46 tff(2535,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c1_1(a764) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | c3_1(a764) | (~c2_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a764) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | c3_1(a764) | (~c2_1(a764)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2536,plain,
% 1.30/1.46 ((hskp17 | (~ndr1_0) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)) | c3_1(a707) | c1_1(a707) | c2_1(a707)) <=> (hskp17 | c1_1(a764) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | c3_1(a764) | (~c2_1(a764)))),
% 1.30/1.46 inference(rewrite,[status(thm)],[])).
% 1.30/1.46 tff(2537,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)) | c3_1(a707) | c1_1(a707) | c2_1(a707))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c1_1(a764) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | c3_1(a764) | (~c2_1(a764))))),
% 1.30/1.46 inference(monotonicity,[status(thm)],[2536])).
% 1.30/1.46 tff(2538,plain,
% 1.30/1.46 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)) | c3_1(a707) | c1_1(a707) | c2_1(a707))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a764) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | c3_1(a764) | (~c2_1(a764)))),
% 1.30/1.46 inference(transitivity,[status(thm)],[2537, 2535])).
% 1.30/1.46 tff(2539,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)) | c3_1(a707) | c1_1(a707) | c2_1(a707))),
% 1.30/1.46 inference(quant_inst,[status(thm)],[])).
% 1.30/1.46 tff(2540,plain,
% 1.30/1.46 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a764) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | c3_1(a764) | (~c2_1(a764))),
% 1.30/1.46 inference(modus_ponens,[status(thm)],[2539, 2538])).
% 1.30/1.46 tff(2541,plain,
% 1.30/1.46 (c3_1(a764)),
% 1.30/1.46 inference(unit_resolution,[status(thm)],[2540, 133, 47, 2488, 2480, 2525, 2524, 540, 2534])).
% 1.30/1.46 tff(2542,plain,
% 1.30/1.46 (^[U: $i] : refl((hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))))),
% 1.30/1.46 inference(bind,[status(th)],[])).
% 1.30/1.46 tff(2543,plain,
% 1.30/1.46 (![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.30/1.46 inference(quant_intro,[status(thm)],[2542])).
% 1.30/1.46 tff(2544,plain,
% 1.30/1.47 (![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2545,plain,
% 1.30/1.47 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp30))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp30) <=> (hskp30 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) <=> (hskp30 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) | hskp22) <=> ((hskp30 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp22))), rewrite(((hskp30 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp22) <=> (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) | hskp22) <=> (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))))),
% 1.30/1.47 inference(bind,[status(th)],[])).
% 1.30/1.47 tff(2546,plain,
% 1.30/1.47 (![U: $i] : ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) | hskp22) <=> ![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.30/1.47 inference(quant_intro,[status(thm)],[2545])).
% 1.30/1.47 tff(2547,axiom,(![U: $i] : ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) | hskp22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause165')).
% 1.30/1.47 tff(2548,plain,
% 1.30/1.47 (![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2547, 2546])).
% 1.30/1.47 tff(2549,plain,
% 1.30/1.47 (![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2548, 2544])).
% 1.30/1.47 tff(2550,plain,(
% 1.30/1.47 ![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.30/1.47 inference(skolemize,[status(sab)],[2549])).
% 1.30/1.47 tff(2551,plain,
% 1.30/1.47 (![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2550, 2543])).
% 1.30/1.47 tff(2552,plain,
% 1.30/1.47 (((~![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp30 | hskp22 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)))) <=> ((~![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp30 | hskp22 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2553,plain,
% 1.30/1.47 ((hskp30 | hskp22 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739))) <=> (hskp30 | hskp22 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2554,plain,
% 1.30/1.47 (((~![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp30 | hskp22 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)))) <=> ((~![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp30 | hskp22 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2553])).
% 1.30/1.47 tff(2555,plain,
% 1.30/1.47 (((~![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp30 | hskp22 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)))) <=> ((~![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp30 | hskp22 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739)))),
% 1.30/1.47 inference(transitivity,[status(thm)],[2554, 2552])).
% 1.30/1.47 tff(2556,plain,
% 1.30/1.47 ((~![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp30 | hskp22 | (~ndr1_0) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)))),
% 1.30/1.47 inference(quant_inst,[status(thm)],[])).
% 1.30/1.47 tff(2557,plain,
% 1.30/1.47 ((~![U: $i] : (hskp30 | hskp22 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp30 | hskp22 | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c2_1(a739))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 1.30/1.47 tff(2558,plain,
% 1.30/1.47 (hskp30 | hskp22),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2557, 133, 2271, 2270, 2268, 2551])).
% 1.30/1.47 tff(2559,plain,
% 1.30/1.47 (hskp22),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2558, 1104])).
% 1.30/1.47 tff(2560,plain,
% 1.30/1.47 (~c3_1(a756)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1567, 2559])).
% 1.30/1.47 tff(2561,plain,
% 1.30/1.47 (c2_1(a756)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1575, 2559])).
% 1.30/1.47 tff(2562,plain,
% 1.30/1.47 (c1_1(a756)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1583, 2559])).
% 1.30/1.47 tff(2563,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a756) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c2_1(a756)) | (~c1_1(a756)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a756) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c2_1(a756)) | (~c1_1(a756)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2564,plain,
% 1.30/1.47 (((~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c1_1(a756)) | c1_1(a707) | c2_1(a707) | (~c3_1(a707))) <=> (c3_1(a756) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c2_1(a756)) | (~c1_1(a756)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2565,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c1_1(a756)) | c1_1(a707) | c2_1(a707) | (~c3_1(a707)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a756) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c2_1(a756)) | (~c1_1(a756))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2564])).
% 1.30/1.47 tff(2566,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c1_1(a756)) | c1_1(a707) | c2_1(a707) | (~c3_1(a707)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a756) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c2_1(a756)) | (~c1_1(a756)))),
% 1.30/1.47 inference(transitivity,[status(thm)],[2565, 2563])).
% 1.30/1.47 tff(2567,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a756) | (~c2_1(a756)) | (~c1_1(a756)) | c1_1(a707) | c2_1(a707) | (~c3_1(a707)))),
% 1.30/1.47 inference(quant_inst,[status(thm)],[])).
% 1.30/1.47 tff(2568,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a756) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c3_1(a707)) | (~c2_1(a756)) | (~c1_1(a756))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 1.30/1.47 tff(2569,plain,
% 1.30/1.47 (~c3_1(a707)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2568, 133, 2562, 2561, 2560, 2525, 2524, 58])).
% 1.30/1.47 tff(2570,plain,
% 1.30/1.47 (c3_1(a764)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2540, 133, 47, 2488, 2480, 2525, 2524, 540, 2569])).
% 1.30/1.47 tff(2571,plain,
% 1.30/1.47 (hskp19),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2405, 1113, 83])).
% 1.30/1.47 tff(2572,plain,
% 1.30/1.47 (~c0_1(a741)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[183, 2571])).
% 1.30/1.47 tff(2573,plain,
% 1.30/1.47 (c3_1(a741)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[191, 2571])).
% 1.30/1.47 tff(2574,plain,
% 1.30/1.47 (c1_1(a741)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[199, 2571])).
% 1.30/1.47 tff(2575,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c0_1(a741) | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a741) | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2576,plain,
% 1.30/1.47 ((hskp2 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741))) <=> (hskp2 | c0_1(a741) | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2577,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c0_1(a741) | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | (~c3_1(a741)) | (~c1_1(a741))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2576])).
% 1.30/1.47 tff(2578,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a741) | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.30/1.47 inference(transitivity,[status(thm)],[2577, 2575])).
% 1.30/1.47 tff(2579,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a739) | (~c3_1(a739)) | (~c0_1(a739)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.30/1.47 inference(quant_inst,[status(thm)],[])).
% 1.30/1.47 tff(2580,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a741) | c1_1(a739) | (~ndr1_0) | (~c3_1(a739)) | (~c0_1(a739)) | (~c3_1(a741)) | (~c1_1(a741))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2579, 2578])).
% 1.30/1.47 tff(2581,plain,
% 1.30/1.47 (hskp2),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2580, 133, 2574, 2573, 2270, 2572, 2268, 2321, 2361])).
% 1.30/1.47 tff(2582,plain,
% 1.30/1.47 (~c3_1(a708)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2338, 2581])).
% 1.30/1.47 tff(2583,plain,
% 1.30/1.47 (~c0_1(a708)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2359, 2581])).
% 1.30/1.47 tff(2584,plain,
% 1.30/1.47 (c0_1(a707)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1696, 2523])).
% 1.30/1.47 tff(2585,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2586,plain,
% 1.30/1.47 (((~ndr1_0) | (~c2_1(a764)) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a708) | c2_1(a708) | c0_1(a708)) <=> (c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2587,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a764)) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a708) | c2_1(a708) | c0_1(a708))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2586])).
% 1.30/1.47 tff(2588,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a764)) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a708) | c2_1(a708) | c0_1(a708))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764)))),
% 1.30/1.47 inference(transitivity,[status(thm)],[2587, 2585])).
% 1.30/1.47 tff(2589,plain,
% 1.30/1.47 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a764)) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a708) | c2_1(a708) | c0_1(a708))),
% 1.30/1.47 inference(quant_inst,[status(thm)],[])).
% 1.30/1.47 tff(2590,plain,
% 1.30/1.47 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2589, 2588])).
% 1.30/1.47 tff(2591,plain,
% 1.30/1.47 (c2_1(a708)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2590, 133, 2514, 2488, 2584, 2583, 2582, 2525, 2524, 368, 2570])).
% 1.30/1.47 tff(2592,plain,
% 1.30/1.47 (hskp0),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2434, 133, 83, 2562, 2561, 2560, 2117])).
% 1.30/1.47 tff(2593,plain,
% 1.30/1.47 (~c2_1(a706)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2130, 2592])).
% 1.30/1.47 tff(2594,plain,
% 1.30/1.47 (~c1_1(a706)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2136, 2592])).
% 1.30/1.47 tff(2595,plain,
% 1.30/1.47 (c1_1(a708)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2346, 2581])).
% 1.30/1.47 tff(2596,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a708) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a708)) | (~c1_1(a708)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a708) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a708)) | (~c1_1(a708)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2597,plain,
% 1.30/1.47 (((~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706))) <=> (c3_1(a708) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a708)) | (~c1_1(a708)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2598,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (c3_1(a708) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a708)) | (~c1_1(a708))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2597])).
% 1.30/1.47 tff(2599,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a708) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a708)) | (~c1_1(a708)))),
% 1.30/1.47 inference(transitivity,[status(thm)],[2598, 2596])).
% 1.30/1.47 tff(2600,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | ((~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)) | c1_1(a706) | c2_1(a706) | (~c3_1(a706)))),
% 1.30/1.47 inference(quant_inst,[status(thm)],[])).
% 1.30/1.47 tff(2601,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | c3_1(a708) | c1_1(a706) | c2_1(a706) | (~ndr1_0) | (~c3_1(a706)) | (~c2_1(a708)) | (~c1_1(a708))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2600, 2599])).
% 1.30/1.47 tff(2602,plain,
% 1.30/1.47 (~c3_1(a706)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2601, 133, 2595, 2582, 2594, 2593, 58, 2591])).
% 1.30/1.47 tff(2603,plain,
% 1.30/1.47 (~c0_1(a706)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2165, 2592])).
% 1.30/1.47 tff(2604,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2605,plain,
% 1.30/1.47 (((~ndr1_0) | (~c2_1(a764)) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a706) | c2_1(a706) | c0_1(a706)) <=> (c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2606,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a764)) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a706) | c2_1(a706) | c0_1(a706))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2605])).
% 1.30/1.47 tff(2607,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a764)) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a706) | c2_1(a706) | c0_1(a706))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764)))),
% 1.30/1.47 inference(transitivity,[status(thm)],[2606, 2604])).
% 1.30/1.47 tff(2608,plain,
% 1.30/1.47 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a764)) | (~c3_1(a764)) | (~c0_1(a764)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a706) | c2_1(a706) | c0_1(a706))),
% 1.30/1.47 inference(quant_inst,[status(thm)],[])).
% 1.30/1.47 tff(2609,plain,
% 1.30/1.47 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a764)) | (~c2_1(a764)) | (~c0_1(a764))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 1.30/1.47 tff(2610,plain,
% 1.30/1.47 ($false),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2609, 133, 2514, 2488, 2584, 2525, 2524, 2603, 2593, 368, 2570, 2602])).
% 1.30/1.47 tff(2611,plain,(hskp30 | hskp17 | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.30/1.47 tff(2612,plain,
% 1.30/1.47 (hskp30),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2611, 83, 47])).
% 1.30/1.47 tff(2613,plain,
% 1.30/1.47 (c0_1(a714)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[451, 2612])).
% 1.30/1.47 tff(2614,plain,
% 1.30/1.47 (~hskp11),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2423, 2414, 47])).
% 1.30/1.47 tff(2615,plain,
% 1.30/1.47 (hskp22),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1561, 2614, 83])).
% 1.30/1.47 tff(2616,plain,
% 1.30/1.47 (~c3_1(a756)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1567, 2615])).
% 1.30/1.47 tff(2617,plain,
% 1.30/1.47 (c2_1(a756)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1575, 2615])).
% 1.30/1.47 tff(2618,plain,
% 1.30/1.47 (c1_1(a756)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1583, 2615])).
% 1.30/1.47 tff(2619,plain,
% 1.30/1.47 (hskp0),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2434, 133, 83, 2618, 2617, 2616, 2117])).
% 1.30/1.47 tff(2620,plain,
% 1.30/1.47 (~c0_1(a706)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2165, 2619])).
% 1.30/1.47 tff(2621,plain,
% 1.30/1.47 (hskp7),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[994, 2414, 83])).
% 1.30/1.47 tff(2622,plain,
% 1.30/1.47 (c3_1(a714)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[435, 2612])).
% 1.30/1.47 tff(2623,plain,
% 1.30/1.47 (c2_1(a714)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[443, 2612])).
% 1.30/1.47 tff(2624,plain,
% 1.30/1.47 (~c2_1(a706)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2130, 2619])).
% 1.30/1.47 tff(2625,plain,
% 1.30/1.47 (c3_1(a706)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2452, 2624, 2623, 2622, 922, 2621, 2620, 2613, 83])).
% 1.30/1.47 tff(2626,plain,
% 1.30/1.47 (~c1_1(a706)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2136, 2619])).
% 1.30/1.47 tff(2627,plain,
% 1.30/1.47 ($false),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2520, 133, 2526, 2514, 2480, 2626, 2624, 2505, 2541, 2625])).
% 1.30/1.47 tff(2628,plain,(hskp14 | hskp19 | hskp8 | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.30/1.47 tff(2629,plain,
% 1.30/1.47 (hskp14),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2628, 922, 83, 47])).
% 1.30/1.47 tff(2630,plain,
% 1.30/1.47 (~c2_1(a730)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[169, 2629])).
% 1.30/1.47 tff(2631,plain,
% 1.30/1.47 (c1_1(a730)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[156, 2629])).
% 1.30/1.47 tff(2632,plain,
% 1.30/1.47 (~c0_1(a730)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[176, 133, 922, 83, 2631, 2630, 10])).
% 1.30/1.47 tff(2633,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a764) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a764)) | (~c2_1(a764)) | (~c1_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a764) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a764)) | (~c2_1(a764)) | (~c1_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2634,plain,
% 1.30/1.47 (((~ndr1_0) | (~c2_1(a714)) | (~c1_1(a714)) | (~c0_1(a714)) | c1_1(a764) | (~c2_1(a764)) | (~c3_1(a764)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730))) <=> (c1_1(a764) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a764)) | (~c2_1(a764)) | (~c1_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2635,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a714)) | (~c1_1(a714)) | (~c0_1(a714)) | c1_1(a764) | (~c2_1(a764)) | (~c3_1(a764)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c1_1(a764) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a764)) | (~c2_1(a764)) | (~c1_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2634])).
% 1.30/1.47 tff(2636,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a714)) | (~c1_1(a714)) | (~c0_1(a714)) | c1_1(a764) | (~c2_1(a764)) | (~c3_1(a764)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a764) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a764)) | (~c2_1(a764)) | (~c1_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.47 inference(transitivity,[status(thm)],[2635, 2633])).
% 1.30/1.47 tff(2637,plain,
% 1.30/1.47 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a714)) | (~c1_1(a714)) | (~c0_1(a714)) | c1_1(a764) | (~c2_1(a764)) | (~c3_1(a764)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))),
% 1.30/1.47 inference(quant_inst,[status(thm)],[])).
% 1.30/1.47 tff(2638,plain,
% 1.30/1.47 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c1_1(a764) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c3_1(a764)) | (~c2_1(a764)) | (~c1_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2637, 2636])).
% 1.30/1.47 tff(2639,plain,
% 1.30/1.47 (~c1_1(a714)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2638, 133, 2613, 2623, 2488, 2631, 2480, 2630, 20, 2632, 2541])).
% 1.30/1.47 tff(2640,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | c1_1(a707) | (~ndr1_0) | c3_1(a707) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | hskp4 | c1_1(a707) | (~ndr1_0) | c3_1(a707) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2641,plain,
% 1.30/1.47 ((hskp4 | (~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c3_1(a707) | c1_1(a707) | (~c0_1(a707))) <=> (hskp4 | c1_1(a707) | (~ndr1_0) | c3_1(a707) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2642,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | (~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c3_1(a707) | c1_1(a707) | (~c0_1(a707)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | c1_1(a707) | (~ndr1_0) | c3_1(a707) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2641])).
% 1.30/1.47 tff(2643,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | (~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c3_1(a707) | c1_1(a707) | (~c0_1(a707)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | hskp4 | c1_1(a707) | (~ndr1_0) | c3_1(a707) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.47 inference(transitivity,[status(thm)],[2642, 2640])).
% 1.30/1.47 tff(2644,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp4 | (~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c3_1(a707) | c1_1(a707) | (~c0_1(a707)))),
% 1.30/1.47 inference(quant_inst,[status(thm)],[])).
% 1.30/1.47 tff(2645,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)))) | hskp4 | c1_1(a707) | (~ndr1_0) | c3_1(a707) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2644, 2643])).
% 1.30/1.47 tff(2646,plain,
% 1.30/1.47 (hskp4),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2645, 133, 2613, 2623, 2622, 2584, 2525, 2045, 2534])).
% 1.30/1.47 tff(2647,plain,
% 1.30/1.47 (~c3_1(a711)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1965, 2646])).
% 1.30/1.47 tff(2648,plain,
% 1.30/1.47 (~c1_1(a711)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1990, 2646])).
% 1.30/1.47 tff(2649,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c1_1(a711) | c3_1(a711) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | (~c2_1(a711)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a711) | c3_1(a711) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | (~c2_1(a711)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2650,plain,
% 1.30/1.47 ((hskp17 | (~ndr1_0) | c1_1(a711) | c3_1(a711) | (~c2_1(a711)) | c3_1(a707) | c1_1(a707) | c2_1(a707)) <=> (hskp17 | c1_1(a711) | c3_1(a711) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | (~c2_1(a711)))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2651,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a711) | c3_1(a711) | (~c2_1(a711)) | c3_1(a707) | c1_1(a707) | c2_1(a707))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | c1_1(a711) | c3_1(a711) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | (~c2_1(a711))))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2650])).
% 1.30/1.47 tff(2652,plain,
% 1.30/1.47 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a711) | c3_1(a711) | (~c2_1(a711)) | c3_1(a707) | c1_1(a707) | c2_1(a707))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a711) | c3_1(a711) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | (~c2_1(a711)))),
% 1.30/1.47 inference(transitivity,[status(thm)],[2651, 2649])).
% 1.30/1.47 tff(2653,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp17 | (~ndr1_0) | c1_1(a711) | c3_1(a711) | (~c2_1(a711)) | c3_1(a707) | c1_1(a707) | c2_1(a707))),
% 1.30/1.47 inference(quant_inst,[status(thm)],[])).
% 1.30/1.47 tff(2654,plain,
% 1.30/1.47 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp17 | c1_1(a711) | c3_1(a711) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | c3_1(a707) | (~c2_1(a711))),
% 1.30/1.47 inference(modus_ponens,[status(thm)],[2653, 2652])).
% 1.30/1.47 tff(2655,plain,
% 1.30/1.47 (~c2_1(a711)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[2654, 133, 47, 2648, 2647, 2525, 2524, 540, 2534])).
% 1.30/1.47 tff(2656,plain,
% 1.30/1.47 (hskp13),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[944, 2631, 83, 922, 2630])).
% 1.30/1.47 tff(2657,plain,
% 1.30/1.47 (~c2_1(a727)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[971, 2656])).
% 1.30/1.47 tff(2658,plain,
% 1.30/1.47 (c0_1(a711)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[1973, 2646])).
% 1.30/1.47 tff(2659,plain,
% 1.30/1.47 (c3_1(a727)),
% 1.30/1.47 inference(unit_resolution,[status(thm)],[958, 2656])).
% 1.30/1.47 tff(2660,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c2_1(a730) | c2_1(a727) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | c1_1(a727) | (~c3_1(a727)) | (~c1_1(a730)) | c0_1(a730))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c2_1(a730) | c2_1(a727) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | c1_1(a727) | (~c3_1(a727)) | (~c1_1(a730)) | c0_1(a730))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2661,plain,
% 1.30/1.47 (((~ndr1_0) | c2_1(a727) | c1_1(a727) | (~c3_1(a727)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730))) <=> (c2_1(a730) | c2_1(a727) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | c1_1(a727) | (~c3_1(a727)) | (~c1_1(a730)) | c0_1(a730))),
% 1.30/1.47 inference(rewrite,[status(thm)],[])).
% 1.30/1.47 tff(2662,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c2_1(a727) | c1_1(a727) | (~c3_1(a727)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c2_1(a730) | c2_1(a727) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | c1_1(a727) | (~c3_1(a727)) | (~c1_1(a730)) | c0_1(a730)))),
% 1.30/1.47 inference(monotonicity,[status(thm)],[2661])).
% 1.30/1.47 tff(2663,plain,
% 1.30/1.47 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c2_1(a727) | c1_1(a727) | (~c3_1(a727)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c2_1(a730) | c2_1(a727) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | c1_1(a727) | (~c3_1(a727)) | (~c1_1(a730)) | c0_1(a730))),
% 1.30/1.48 inference(transitivity,[status(thm)],[2662, 2660])).
% 1.30/1.48 tff(2664,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c2_1(a727) | c1_1(a727) | (~c3_1(a727)) | c1_1(a711) | c2_1(a711) | (~c0_1(a711)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))),
% 1.30/1.48 inference(quant_inst,[status(thm)],[])).
% 1.30/1.48 tff(2665,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c2_1(a730) | c2_1(a727) | c1_1(a711) | (~ndr1_0) | c2_1(a711) | (~c0_1(a711)) | c1_1(a727) | (~c3_1(a727)) | (~c1_1(a730)) | c0_1(a730)),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 1.30/1.48 tff(2666,plain,
% 1.30/1.48 (c1_1(a727)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2665, 133, 2631, 2659, 2658, 2630, 2657, 2648, 787, 2632, 2655])).
% 1.30/1.48 tff(2667,plain,
% 1.30/1.48 (~c0_1(a727)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[950, 2656])).
% 1.30/1.48 tff(2668,plain,
% 1.30/1.48 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp28 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2669,plain,
% 1.30/1.48 ((hskp28 | (~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c0_1(a727) | (~c3_1(a727)) | (~c1_1(a727))) <=> (hskp28 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2670,plain,
% 1.30/1.48 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c0_1(a727) | (~c3_1(a727)) | (~c1_1(a727)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.30/1.48 inference(monotonicity,[status(thm)],[2669])).
% 1.30/1.48 tff(2671,plain,
% 1.30/1.48 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c0_1(a727) | (~c3_1(a727)) | (~c1_1(a727)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp28 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.48 inference(transitivity,[status(thm)],[2670, 2668])).
% 1.30/1.48 tff(2672,plain,
% 1.30/1.48 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp28 | (~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c0_1(a727) | (~c3_1(a727)) | (~c1_1(a727)))),
% 1.30/1.48 inference(quant_inst,[status(thm)],[])).
% 1.30/1.48 tff(2673,plain,
% 1.30/1.48 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp28 | c0_1(a727) | (~ndr1_0) | (~c1_1(a727)) | (~c3_1(a727)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 1.30/1.48 tff(2674,plain,
% 1.30/1.48 (hskp28),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2673, 133, 2613, 2623, 2622, 2659, 2667, 2371, 2666])).
% 1.30/1.48 tff(2675,plain,
% 1.30/1.48 (c2_1(a705)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[1617, 2674])).
% 1.30/1.48 tff(2676,plain,
% 1.30/1.48 (c1_1(a705)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[1625, 2674])).
% 1.30/1.48 tff(2677,plain,
% 1.30/1.48 (c0_1(a705)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[1633, 2674])).
% 1.30/1.48 tff(2678,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | (~c3_1(a714)) | c1_1(a714) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | (~c3_1(a714)) | c1_1(a714) | (~c2_1(a714)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2679,plain,
% 1.30/1.48 (((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a714) | (~c2_1(a714)) | (~c3_1(a714)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730))) <=> (c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | (~c3_1(a714)) | c1_1(a714) | (~c2_1(a714)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2680,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a714) | (~c2_1(a714)) | (~c3_1(a714)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | (c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | (~c3_1(a714)) | c1_1(a714) | (~c2_1(a714))))),
% 1.30/1.48 inference(monotonicity,[status(thm)],[2679])).
% 1.30/1.48 tff(2681,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a714) | (~c2_1(a714)) | (~c3_1(a714)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | (~c3_1(a714)) | c1_1(a714) | (~c2_1(a714)))),
% 1.30/1.48 inference(transitivity,[status(thm)],[2680, 2678])).
% 1.30/1.48 tff(2682,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c2_1(a705)) | (~c1_1(a705)) | (~c0_1(a705)) | c1_1(a714) | (~c2_1(a714)) | (~c3_1(a714)) | c2_1(a730) | c0_1(a730) | (~c1_1(a730)))),
% 1.30/1.48 inference(quant_inst,[status(thm)],[])).
% 1.30/1.48 tff(2683,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c1_1(W)))) | c2_1(a730) | (~ndr1_0) | (~c1_1(a730)) | c0_1(a730) | (~c0_1(a705)) | (~c1_1(a705)) | (~c2_1(a705)) | (~c3_1(a714)) | c1_1(a714) | (~c2_1(a714))),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[2682, 2681])).
% 1.30/1.48 tff(2684,plain,
% 1.30/1.48 ($false),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2683, 133, 2623, 2622, 2677, 2676, 2675, 2631, 2630, 20, 2632, 2639])).
% 1.30/1.48 tff(2685,plain,(hskp19 | hskp8 | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.30/1.48 tff(2686,plain,
% 1.30/1.48 (hskp19),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2685, 83, 47])).
% 1.30/1.48 tff(2687,plain,
% 1.30/1.48 (~c0_1(a741)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[183, 2686])).
% 1.30/1.48 tff(2688,plain,
% 1.30/1.48 (c3_1(a741)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[191, 2686])).
% 1.30/1.48 tff(2689,plain,
% 1.30/1.48 (c1_1(a741)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[199, 2686])).
% 1.30/1.48 tff(2690,plain,
% 1.30/1.48 (hskp2),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2580, 133, 2689, 2688, 2270, 2687, 2268, 2321, 2361])).
% 1.30/1.48 tff(2691,plain,
% 1.30/1.48 (~c3_1(a708)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2338, 2690])).
% 1.30/1.48 tff(2692,plain,
% 1.30/1.48 (~c0_1(a708)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2359, 2690])).
% 1.30/1.48 tff(2693,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2694,plain,
% 1.30/1.48 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a708) | c2_1(a708) | c0_1(a708)) <=> (c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2695,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a708) | c2_1(a708) | c0_1(a708))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.30/1.48 inference(monotonicity,[status(thm)],[2694])).
% 1.30/1.48 tff(2696,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a708) | c2_1(a708) | c0_1(a708))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.48 inference(transitivity,[status(thm)],[2695, 2693])).
% 1.30/1.48 tff(2697,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a708) | c2_1(a708) | c0_1(a708))),
% 1.30/1.48 inference(quant_inst,[status(thm)],[])).
% 1.30/1.48 tff(2698,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a708) | c3_1(a708) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a708) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 1.30/1.48 tff(2699,plain,
% 1.30/1.48 (c2_1(a708)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2698, 133, 2613, 2623, 2622, 2584, 2692, 2691, 2525, 2524, 368])).
% 1.30/1.48 tff(2700,plain,
% 1.30/1.48 (c1_1(a708)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2346, 2690])).
% 1.30/1.48 tff(2701,plain,
% 1.30/1.48 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp8 | hskp0 | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2702,plain,
% 1.30/1.48 ((hskp8 | hskp0 | (~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708))) <=> (hskp8 | hskp0 | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2703,plain,
% 1.30/1.48 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708))))),
% 1.30/1.48 inference(monotonicity,[status(thm)],[2702])).
% 1.30/1.48 tff(2704,plain,
% 1.30/1.48 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp8 | hskp0 | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708)))),
% 1.30/1.48 inference(transitivity,[status(thm)],[2703, 2701])).
% 1.30/1.48 tff(2705,plain,
% 1.30/1.48 ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c3_1(a708) | (~c2_1(a708)) | (~c1_1(a708)))),
% 1.30/1.48 inference(quant_inst,[status(thm)],[])).
% 1.30/1.48 tff(2706,plain,
% 1.30/1.48 ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp8 | hskp0 | c3_1(a708) | (~ndr1_0) | (~c2_1(a708)) | (~c1_1(a708))),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[2705, 2704])).
% 1.30/1.48 tff(2707,plain,
% 1.30/1.48 (hskp0 | (~c2_1(a708))),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2706, 133, 83, 2700, 2691, 2117])).
% 1.30/1.48 tff(2708,plain,
% 1.30/1.48 (hskp0),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2707, 2699])).
% 1.30/1.48 tff(2709,plain,
% 1.30/1.48 (~c2_1(a706)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2130, 2708])).
% 1.30/1.48 tff(2710,plain,
% 1.30/1.48 (~c1_1(a706)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2136, 2708])).
% 1.30/1.48 tff(2711,plain,
% 1.30/1.48 (~c3_1(a706)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2601, 133, 2700, 2691, 2710, 2709, 58, 2699])).
% 1.30/1.48 tff(2712,plain,
% 1.30/1.48 (~c0_1(a706)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2165, 2708])).
% 1.30/1.48 tff(2713,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2714,plain,
% 1.30/1.48 (((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a706) | c2_1(a706) | c0_1(a706)) <=> (c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2715,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a706) | c2_1(a706) | c0_1(a706))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))))),
% 1.30/1.48 inference(monotonicity,[status(thm)],[2714])).
% 1.30/1.48 tff(2716,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a706) | c2_1(a706) | c0_1(a706))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714)))),
% 1.30/1.48 inference(transitivity,[status(thm)],[2715, 2713])).
% 1.30/1.48 tff(2717,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a714)) | (~c3_1(a714)) | (~c0_1(a714)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a706) | c2_1(a706) | c0_1(a706))),
% 1.30/1.48 inference(quant_inst,[status(thm)],[])).
% 1.30/1.48 tff(2718,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c1_1(a707) | c2_1(a707) | c0_1(a706) | c2_1(a706) | (~ndr1_0) | c3_1(a706) | (~c0_1(a707)) | (~c3_1(a714)) | (~c0_1(a714)) | (~c2_1(a714))),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 1.30/1.48 tff(2719,plain,
% 1.30/1.48 ($false),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2718, 133, 2613, 2623, 2622, 2584, 2525, 2524, 2712, 2709, 368, 2711])).
% 1.30/1.48 tff(2720,plain,(hskp8 | hskp17), inference(lemma,lemma(discharge,[]))).
% 1.30/1.48 tff(2721,plain,
% 1.30/1.48 (hskp17),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2720, 2389])).
% 1.30/1.48 tff(2722,plain,
% 1.30/1.48 (~c0_1(a734)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[214, 2721])).
% 1.30/1.48 tff(2723,plain,
% 1.30/1.48 (~c1_1(a734)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[220, 2721])).
% 1.30/1.48 tff(2724,plain,
% 1.30/1.48 (~c3_1(a734)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[466, 2721])).
% 1.30/1.48 tff(2725,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a739) | c0_1(a734) | c1_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a739) | c0_1(a734) | c1_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2726,plain,
% 1.30/1.48 (((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734))) <=> (c1_1(a739) | c0_1(a734) | c1_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2727,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a739) | c0_1(a734) | c1_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709))))),
% 1.30/1.48 inference(monotonicity,[status(thm)],[2726])).
% 1.30/1.48 tff(2728,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a739) | c0_1(a734) | c1_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709)))),
% 1.30/1.48 inference(transitivity,[status(thm)],[2727, 2725])).
% 1.30/1.48 tff(2729,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c1_1(a709)) | c1_1(a739) | (~c2_1(a739)) | (~c3_1(a739)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))),
% 1.30/1.48 inference(quant_inst,[status(thm)],[])).
% 1.30/1.48 tff(2730,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a739) | c0_1(a734) | c1_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739)) | (~c3_1(a709)) | (~c1_1(a709)) | (~c2_1(a709))),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[2729, 2728])).
% 1.30/1.48 tff(2731,plain,
% 1.30/1.48 ((~c2_1(a734)) | (~c3_1(a739)) | (~c2_1(a739))),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2730, 921, 2302, 2301, 2300, 603, 46, 45, 1436])).
% 1.30/1.48 tff(2732,plain,
% 1.30/1.48 (~c2_1(a734)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2731, 2298, 2299])).
% 1.30/1.48 tff(2733,assumption,(~c2_1(a707)), introduced(assumption)).
% 1.30/1.48 tff(2734,assumption,(~c1_1(a707)), introduced(assumption)).
% 1.30/1.48 tff(2735,assumption,(c0_1(a707)), introduced(assumption)).
% 1.30/1.48 tff(2736,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2737,plain,
% 1.30/1.48 (((~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a734) | c2_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2738,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739))))),
% 1.30/1.48 inference(monotonicity,[status(thm)],[2737])).
% 1.30/1.48 tff(2739,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739)))),
% 1.30/1.48 inference(transitivity,[status(thm)],[2738, 2736])).
% 1.30/1.48 tff(2740,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a739)) | (~c3_1(a739)) | (~c0_1(a739)) | c1_1(a707) | c2_1(a707) | (~c0_1(a707)) | c3_1(a734) | c2_1(a734) | c0_1(a734))),
% 1.30/1.48 inference(quant_inst,[status(thm)],[])).
% 1.30/1.48 tff(2741,plain,
% 1.30/1.48 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~ndr1_0) | (~c0_1(a707)) | c2_1(a734) | (~c3_1(a739)) | (~c2_1(a739)) | (~c0_1(a739))),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 1.30/1.48 tff(2742,plain,
% 1.30/1.48 ($false),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2741, 921, 2299, 2298, 2735, 46, 311, 2734, 2733, 368, 2732, 2310])).
% 1.30/1.48 tff(2743,plain,((~hskp18) | (~ndr1_0) | (~c0_1(a707)) | c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~c1_1(a709)) | (~c2_1(a709)) | (~c3_1(a709)) | c1_1(a739) | c1_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.30/1.48 tff(2744,plain,
% 1.30/1.48 ((~hskp18) | (~c0_1(a707)) | c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | (~c1_1(a709)) | (~c2_1(a709)) | (~c3_1(a709)) | c1_1(a739) | c1_1(a734)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2743, 133])).
% 1.30/1.48 tff(2745,plain,
% 1.30/1.48 ((~c0_1(a707)) | c0_1(a734) | c3_1(a734) | c1_1(a707) | c2_1(a707) | c1_1(a734)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2744, 2267, 874, 897, 866, 2268])).
% 1.30/1.48 tff(2746,plain,
% 1.30/1.48 ($false),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2745, 1689, 1697, 46, 311, 1683, 45])).
% 1.30/1.48 tff(2747,plain,((~hskp1) | c0_1(a734) | c3_1(a734) | c1_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.30/1.48 tff(2748,plain,
% 1.30/1.48 (~hskp1),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2747, 2724, 2723, 2722])).
% 1.30/1.48 tff(2749,plain,
% 1.30/1.48 (~hskp14),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2412, 2748, 2389])).
% 1.30/1.48 tff(2750,plain,
% 1.30/1.48 (hskp7),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[994, 2749, 2389])).
% 1.30/1.48 tff(2751,plain,
% 1.30/1.48 (~c2_1(a717)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[545, 2750])).
% 1.30/1.48 tff(2752,plain,
% 1.30/1.48 (c0_1(a717)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[522, 2750])).
% 1.30/1.48 tff(2753,plain,
% 1.30/1.48 (~hskp19),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2392, 2748, 2389])).
% 1.30/1.48 tff(2754,plain,
% 1.30/1.48 (~c1_1(a717)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2034, 133, 2753, 2389, 2752, 2751, 10])).
% 1.30/1.48 tff(2755,plain,
% 1.30/1.48 (~c2_1(a734)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2730, 133, 874, 897, 866, 2271, 2270, 2268, 2722, 2723, 1436])).
% 1.30/1.48 tff(2756,plain,
% 1.30/1.48 (((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))) <=> ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp8 | hskp1 | (~ndr1_0) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2757,plain,
% 1.30/1.48 ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp8 | hskp1 | (~ndr1_0) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709)))),
% 1.30/1.48 inference(quant_inst,[status(thm)],[])).
% 1.30/1.48 tff(2758,plain,
% 1.30/1.48 ((~![U: $i] : (hskp8 | hskp1 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp8 | hskp1 | (~ndr1_0) | c0_1(a709) | (~c3_1(a709)) | (~c1_1(a709))),
% 1.30/1.48 inference(modus_ponens,[status(thm)],[2757, 2756])).
% 1.30/1.48 tff(2759,plain,
% 1.30/1.48 (hskp8 | hskp1 | c0_1(a709)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2758, 133, 874, 866, 1500])).
% 1.30/1.48 tff(2760,plain,
% 1.30/1.48 (c0_1(a709)),
% 1.30/1.48 inference(unit_resolution,[status(thm)],[2759, 2748, 2389])).
% 1.30/1.48 tff(2761,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2762,plain,
% 1.30/1.48 (((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a734) | c2_1(a734) | c0_1(a734)) <=> (c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.30/1.48 inference(rewrite,[status(thm)],[])).
% 1.30/1.48 tff(2763,plain,
% 1.30/1.48 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))))),
% 1.30/1.49 inference(monotonicity,[status(thm)],[2762])).
% 1.30/1.49 tff(2764,plain,
% 1.30/1.49 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a734) | c2_1(a734) | c0_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709)))),
% 1.30/1.49 inference(transitivity,[status(thm)],[2763, 2761])).
% 1.30/1.49 tff(2765,plain,
% 1.30/1.49 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a709)) | (~c3_1(a709)) | (~c0_1(a709)) | c1_1(a717) | c2_1(a717) | (~c0_1(a717)) | c3_1(a734) | c2_1(a734) | c0_1(a734))),
% 1.30/1.49 inference(quant_inst,[status(thm)],[])).
% 1.30/1.49 tff(2766,plain,
% 1.30/1.49 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c3_1(W) | c2_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c2_1(a717) | (~ndr1_0) | (~c0_1(a717)) | c1_1(a717) | c2_1(a734) | (~c3_1(a709)) | (~c2_1(a709)) | (~c0_1(a709))),
% 1.30/1.49 inference(modus_ponens,[status(thm)],[2765, 2764])).
% 1.30/1.49 tff(2767,plain,
% 1.30/1.49 ($false),
% 1.30/1.49 inference(unit_resolution,[status(thm)],[2766, 133, 897, 866, 2752, 2722, 2724, 2751, 368, 2760, 2755, 2754])).
% 1.30/1.49 % SZS output end Proof
% 1.34/1.49 % E exiting
%------------------------------------------------------------------------------