%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS103+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 05:13:23 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS103+1 : TPTP v9.0.0. Released v3.1.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 19:11:05 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.20/0.38 % SZS status Unsatisfiable
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(cminus2_type, type, (
% 0.20/0.38 cminus2: $i > $o)).
% 0.20/0.38 tff(i2003_11_14_17_20_46476_type, type, (
% 0.20/0.38 i2003_11_14_17_20_46476: $i)).
% 0.20/0.38 tff(cplus2_type, type, (
% 0.20/0.38 cplus2: $i > $o)).
% 0.20/0.38 tff(cminus3_type, type, (
% 0.20/0.38 cminus3: $i > $o)).
% 0.20/0.38 tff(cplus3_type, type, (
% 0.20/0.38 cplus3: $i > $o)).
% 0.20/0.38 tff(cplus4_type, type, (
% 0.20/0.38 cplus4: $i > $o)).
% 0.20/0.38 tff(cplus9_type, type, (
% 0.20/0.38 cplus9: $i > $o)).
% 0.20/0.38 tff(cminus9_type, type, (
% 0.20/0.38 cminus9: $i > $o)).
% 0.20/0.38 tff(cplus8_type, type, (
% 0.20/0.38 cplus8: $i > $o)).
% 0.20/0.38 tff(cminus8_type, type, (
% 0.20/0.38 cminus8: $i > $o)).
% 0.20/0.38 tff(cTest_type, type, (
% 0.20/0.38 cTest: $i > $o)).
% 0.20/0.38 tff(cminus4_type, type, (
% 0.20/0.38 cminus4: $i > $o)).
% 0.20/0.38 tff(cplus5_type, type, (
% 0.20/0.38 cplus5: $i > $o)).
% 0.20/0.38 tff(cminus5_type, type, (
% 0.20/0.38 cminus5: $i > $o)).
% 0.20/0.38 tff(cminus7_type, type, (
% 0.20/0.38 cminus7: $i > $o)).
% 0.20/0.38 tff(cplus7_type, type, (
% 0.20/0.38 cplus7: $i > $o)).
% 0.20/0.38 tff(cminus6_type, type, (
% 0.20/0.38 cminus6: $i > $o)).
% 0.20/0.38 tff(cplus6_type, type, (
% 0.20/0.38 cplus6: $i > $o)).
% 0.20/0.38 tff(1,assumption,(~cplus3(i2003_11_14_17_20_46476)), introduced(assumption)).
% 0.20/0.38 tff(2,assumption,(~cminus8(i2003_11_14_17_20_46476)), introduced(assumption)).
% 0.20/0.38 tff(3,plain,
% 0.20/0.38 (cTest(i2003_11_14_17_20_46476) <=> cTest(i2003_11_14_17_20_46476)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(4,axiom,(cTest(i2003_11_14_17_20_46476)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_47')).
% 0.20/0.38 tff(5,plain,
% 0.20/0.38 (cTest(i2003_11_14_17_20_46476)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.20/0.38 tff(6,plain,
% 0.20/0.38 (^[X: $i] : refl((cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X))) <=> (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X))) <=> ![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[6])).
% 0.20/0.38 tff(8,plain,
% 0.20/0.38 (![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X))) <=> ![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(9,plain,
% 0.20/0.38 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((cplus3(X) | cminus8(X)) <=> (cminus8(X) | cplus3(X))), (((cplus3(X) | cminus8(X)) | cplus9(X)) <=> ((cminus8(X) | cplus3(X)) | cplus9(X)))), rewrite(((cminus8(X) | cplus3(X)) | cplus9(X)) <=> (cplus9(X) | cminus8(X) | cplus3(X))), (((cplus3(X) | cminus8(X)) | cplus9(X)) <=> (cplus9(X) | cminus8(X) | cplus3(X)))), ((cTest(X) => ((cplus3(X) | cminus8(X)) | cplus9(X))) <=> (cTest(X) => (cplus9(X) | cminus8(X) | cplus3(X))))), rewrite((cTest(X) => (cplus9(X) | cminus8(X) | cplus3(X))) <=> (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))), ((cTest(X) => ((cplus3(X) | cminus8(X)) | cplus9(X))) <=> (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(10,plain,
% 0.20/0.38 (![X: $i] : (cTest(X) => ((cplus3(X) | cminus8(X)) | cplus9(X))) <=> ![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[9])).
% 0.20/0.38 tff(11,axiom,(![X: $i] : (cTest(X) => ((cplus3(X) | cminus8(X)) | cplus9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_32')).
% 0.20/0.38 tff(12,plain,
% 0.20/0.38 (![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.20/0.38 tff(13,plain,
% 0.20/0.38 (![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[12, 8])).
% 0.20/0.38 tff(14,plain,(
% 0.20/0.38 ![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[13])).
% 0.20/0.38 tff(15,plain,
% 0.20/0.38 (![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[14, 7])).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (((~![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(17,plain,
% 0.20/0.38 ((cplus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> ((~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(18,plain,
% 0.20/0.38 (((~![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))) | (cplus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)))),
% 0.20/0.38 inference(monotonicity,[status(thm)],[17])).
% 0.20/0.38 tff(19,plain,
% 0.20/0.38 (((~![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))) | (cplus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476))),
% 0.20/0.38 inference(transitivity,[status(thm)],[18, 16])).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 ((~![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))) | (cplus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(21,plain,
% 0.20/0.38 ((~![X: $i] : (cplus9(X) | cminus8(X) | cplus3(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.20/0.38 tff(22,plain,
% 0.20/0.38 (cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[21, 15, 5])).
% 0.20/0.38 tff(23,plain,
% 0.20/0.38 (cplus9(i2003_11_14_17_20_46476)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[22, 2, 1])).
% 0.20/0.38 tff(24,plain,
% 0.20/0.38 (^[X: $i] : refl(((~cminus9(X)) | (~cplus9(X))) <=> ((~cminus9(X)) | (~cplus9(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(25,plain,
% 0.20/0.38 (![X: $i] : ((~cminus9(X)) | (~cplus9(X))) <=> ![X: $i] : ((~cminus9(X)) | (~cplus9(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[24])).
% 0.20/0.38 tff(26,plain,
% 0.20/0.38 (^[X: $i] : trans(monotonicity(rewrite((cminus9(X) & cplus9(X)) <=> (~((~cminus9(X)) | (~cplus9(X))))), ((~(cminus9(X) & cplus9(X))) <=> (~(~((~cminus9(X)) | (~cplus9(X))))))), rewrite((~(~((~cminus9(X)) | (~cplus9(X))))) <=> ((~cminus9(X)) | (~cplus9(X)))), ((~(cminus9(X) & cplus9(X))) <=> ((~cminus9(X)) | (~cplus9(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(27,plain,
% 0.20/0.38 (![X: $i] : (~(cminus9(X) & cplus9(X))) <=> ![X: $i] : ((~cminus9(X)) | (~cplus9(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[26])).
% 0.20/0.38 tff(28,plain,
% 0.20/0.38 (![X: $i] : (~(cminus9(X) & cplus9(X))) <=> ![X: $i] : (~(cminus9(X) & cplus9(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(29,axiom,(![X: $i] : (~(cminus9(X) & cplus9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_49')).
% 0.20/0.38 tff(30,plain,
% 0.20/0.38 (![X: $i] : (~(cminus9(X) & cplus9(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.20/0.38 tff(31,plain,(
% 0.20/0.38 ![X: $i] : (~(cminus9(X) & cplus9(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[30])).
% 0.20/0.38 tff(32,plain,
% 0.20/0.38 (![X: $i] : ((~cminus9(X)) | (~cplus9(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.20/0.38 tff(33,plain,
% 0.20/0.38 (![X: $i] : ((~cminus9(X)) | (~cplus9(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.20/0.38 tff(34,plain,
% 0.20/0.38 (((~![X: $i] : ((~cminus9(X)) | (~cplus9(X)))) | ((~cminus9(i2003_11_14_17_20_46476)) | (~cplus9(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cminus9(X)) | (~cplus9(X)))) | (~cminus9(i2003_11_14_17_20_46476)) | (~cplus9(i2003_11_14_17_20_46476)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(35,plain,
% 0.20/0.38 ((~![X: $i] : ((~cminus9(X)) | (~cplus9(X)))) | ((~cminus9(i2003_11_14_17_20_46476)) | (~cplus9(i2003_11_14_17_20_46476)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(36,plain,
% 0.20/0.38 ((~![X: $i] : ((~cminus9(X)) | (~cplus9(X)))) | (~cminus9(i2003_11_14_17_20_46476)) | (~cplus9(i2003_11_14_17_20_46476))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.20/0.38 tff(37,plain,
% 0.20/0.38 (~cminus9(i2003_11_14_17_20_46476)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[36, 33, 23])).
% 0.20/0.38 tff(38,plain,
% 0.20/0.38 (^[X: $i] : refl((cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X))) <=> (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(39,plain,
% 0.20/0.38 (![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X))) <=> ![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[38])).
% 0.20/0.38 tff(40,plain,
% 0.20/0.38 (![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X))) <=> ![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(41,plain,
% 0.20/0.38 (^[X: $i] : trans(monotonicity(rewrite(((cminus9(X) | cplus3(X)) | cplus4(X)) <=> (cplus3(X) | cminus9(X) | cplus4(X))), ((cTest(X) => ((cminus9(X) | cplus3(X)) | cplus4(X))) <=> (cTest(X) => (cplus3(X) | cminus9(X) | cplus4(X))))), rewrite((cTest(X) => (cplus3(X) | cminus9(X) | cplus4(X))) <=> (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))), ((cTest(X) => ((cminus9(X) | cplus3(X)) | cplus4(X))) <=> (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(42,plain,
% 0.20/0.38 (![X: $i] : (cTest(X) => ((cminus9(X) | cplus3(X)) | cplus4(X))) <=> ![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[41])).
% 0.20/0.38 tff(43,axiom,(![X: $i] : (cTest(X) => ((cminus9(X) | cplus3(X)) | cplus4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_28')).
% 0.20/0.38 tff(44,plain,
% 0.20/0.38 (![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.20/0.38 tff(45,plain,
% 0.20/0.38 (![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.20/0.38 tff(46,plain,(
% 0.20/0.38 ![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[45])).
% 0.20/0.38 tff(47,plain,
% 0.20/0.38 (![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.20/0.38 tff(48,plain,
% 0.20/0.38 (((~![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(49,plain,
% 0.20/0.38 ((cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> ((~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(50,plain,
% 0.20/0.38 (((~![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))) | (cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)))),
% 0.20/0.38 inference(monotonicity,[status(thm)],[49])).
% 0.20/0.38 tff(51,plain,
% 0.20/0.38 (((~![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))) | (cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(transitivity,[status(thm)],[50, 48])).
% 0.20/0.39 tff(52,plain,
% 0.20/0.39 ((~![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))) | (cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(53,plain,
% 0.20/0.39 ((~![X: $i] : (cplus3(X) | cminus9(X) | cplus4(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.20/0.39 tff(54,plain,
% 0.20/0.39 (cminus9(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[53, 47, 5])).
% 0.20/0.39 tff(55,plain,
% 0.20/0.39 (cplus4(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[54, 37, 1])).
% 0.20/0.39 tff(56,plain,
% 0.20/0.39 (^[X: $i] : refl((cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X))) <=> (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(57,plain,
% 0.20/0.39 (![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X))) <=> ![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[56])).
% 0.20/0.39 tff(58,plain,
% 0.20/0.39 (![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X))) <=> ![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(59,plain,
% 0.20/0.39 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((cminus9(X) | cminus4(X)) <=> (cminus4(X) | cminus9(X))), (((cminus9(X) | cminus4(X)) | cminus8(X)) <=> ((cminus4(X) | cminus9(X)) | cminus8(X)))), rewrite(((cminus4(X) | cminus9(X)) | cminus8(X)) <=> (cminus8(X) | cminus4(X) | cminus9(X))), (((cminus9(X) | cminus4(X)) | cminus8(X)) <=> (cminus8(X) | cminus4(X) | cminus9(X)))), ((cTest(X) => ((cminus9(X) | cminus4(X)) | cminus8(X))) <=> (cTest(X) => (cminus8(X) | cminus4(X) | cminus9(X))))), rewrite((cTest(X) => (cminus8(X) | cminus4(X) | cminus9(X))) <=> (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))), ((cTest(X) => ((cminus9(X) | cminus4(X)) | cminus8(X))) <=> (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(60,plain,
% 0.20/0.39 (![X: $i] : (cTest(X) => ((cminus9(X) | cminus4(X)) | cminus8(X))) <=> ![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[59])).
% 0.20/0.39 tff(61,axiom,(![X: $i] : (cTest(X) => ((cminus9(X) | cminus4(X)) | cminus8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_9')).
% 0.20/0.39 tff(62,plain,
% 0.20/0.39 (![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.20/0.39 tff(63,plain,
% 0.20/0.39 (![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[62, 58])).
% 0.20/0.39 tff(64,plain,(
% 0.20/0.39 ![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[63])).
% 0.20/0.39 tff(65,plain,
% 0.20/0.39 (![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[64, 57])).
% 0.20/0.39 tff(66,plain,
% 0.20/0.39 (((~![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(67,plain,
% 0.20/0.39 ((cminus8(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> ((~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(68,plain,
% 0.20/0.39 (((~![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))) | (cminus8(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[67])).
% 0.20/0.39 tff(69,plain,
% 0.20/0.39 (((~![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))) | (cminus8(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(transitivity,[status(thm)],[68, 66])).
% 0.20/0.39 tff(70,plain,
% 0.20/0.39 ((~![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))) | (cminus8(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(71,plain,
% 0.20/0.39 ((~![X: $i] : (cminus8(X) | cminus4(X) | cminus9(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.20/0.39 tff(72,plain,
% 0.20/0.39 (cminus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[71, 65, 5])).
% 0.20/0.39 tff(73,plain,
% 0.20/0.39 (cminus4(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[72, 37, 2])).
% 0.20/0.39 tff(74,plain,
% 0.20/0.39 (^[X: $i] : refl(((~cplus4(X)) | (~cminus4(X))) <=> ((~cplus4(X)) | (~cminus4(X))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(75,plain,
% 0.20/0.39 (![X: $i] : ((~cplus4(X)) | (~cminus4(X))) <=> ![X: $i] : ((~cplus4(X)) | (~cminus4(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[74])).
% 0.20/0.39 tff(76,plain,
% 0.20/0.39 (^[X: $i] : trans(monotonicity(rewrite((cplus4(X) & cminus4(X)) <=> (~((~cplus4(X)) | (~cminus4(X))))), ((~(cplus4(X) & cminus4(X))) <=> (~(~((~cplus4(X)) | (~cminus4(X))))))), rewrite((~(~((~cplus4(X)) | (~cminus4(X))))) <=> ((~cplus4(X)) | (~cminus4(X)))), ((~(cplus4(X) & cminus4(X))) <=> ((~cplus4(X)) | (~cminus4(X)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(77,plain,
% 0.20/0.39 (![X: $i] : (~(cplus4(X) & cminus4(X))) <=> ![X: $i] : ((~cplus4(X)) | (~cminus4(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[76])).
% 0.20/0.39 tff(78,plain,
% 0.20/0.39 (![X: $i] : (~(cplus4(X) & cminus4(X))) <=> ![X: $i] : (~(cplus4(X) & cminus4(X)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(79,axiom,(![X: $i] : (~(cplus4(X) & cminus4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_50')).
% 0.20/0.39 tff(80,plain,
% 0.20/0.39 (![X: $i] : (~(cplus4(X) & cminus4(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.20/0.39 tff(81,plain,(
% 0.20/0.39 ![X: $i] : (~(cplus4(X) & cminus4(X)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[80])).
% 0.20/0.39 tff(82,plain,
% 0.20/0.39 (![X: $i] : ((~cplus4(X)) | (~cminus4(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.20/0.39 tff(83,plain,
% 0.20/0.39 (![X: $i] : ((~cplus4(X)) | (~cminus4(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[82, 75])).
% 0.20/0.39 tff(84,plain,
% 0.20/0.39 (((~![X: $i] : ((~cplus4(X)) | (~cminus4(X)))) | ((~cplus4(i2003_11_14_17_20_46476)) | (~cminus4(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cplus4(X)) | (~cminus4(X)))) | (~cplus4(i2003_11_14_17_20_46476)) | (~cminus4(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(85,plain,
% 0.20/0.39 ((~![X: $i] : ((~cplus4(X)) | (~cminus4(X)))) | ((~cplus4(i2003_11_14_17_20_46476)) | (~cminus4(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(86,plain,
% 0.20/0.39 ((~![X: $i] : ((~cplus4(X)) | (~cminus4(X)))) | (~cplus4(i2003_11_14_17_20_46476)) | (~cminus4(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.20/0.39 tff(87,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[86, 83, 73, 55])).
% 0.20/0.39 tff(88,plain,(cminus8(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(89,plain,
% 0.20/0.39 (cminus8(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[88, 1])).
% 0.20/0.39 tff(90,plain,
% 0.20/0.39 (^[X: $i] : refl(((~cminus8(X)) | (~cplus8(X))) <=> ((~cminus8(X)) | (~cplus8(X))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(91,plain,
% 0.20/0.39 (![X: $i] : ((~cminus8(X)) | (~cplus8(X))) <=> ![X: $i] : ((~cminus8(X)) | (~cplus8(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[90])).
% 0.20/0.39 tff(92,plain,
% 0.20/0.39 (^[X: $i] : trans(monotonicity(rewrite((cminus8(X) & cplus8(X)) <=> (~((~cminus8(X)) | (~cplus8(X))))), ((~(cminus8(X) & cplus8(X))) <=> (~(~((~cminus8(X)) | (~cplus8(X))))))), rewrite((~(~((~cminus8(X)) | (~cplus8(X))))) <=> ((~cminus8(X)) | (~cplus8(X)))), ((~(cminus8(X) & cplus8(X))) <=> ((~cminus8(X)) | (~cplus8(X)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(93,plain,
% 0.20/0.39 (![X: $i] : (~(cminus8(X) & cplus8(X))) <=> ![X: $i] : ((~cminus8(X)) | (~cplus8(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[92])).
% 0.20/0.39 tff(94,plain,
% 0.20/0.39 (![X: $i] : (~(cminus8(X) & cplus8(X))) <=> ![X: $i] : (~(cminus8(X) & cplus8(X)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(95,axiom,(![X: $i] : (~(cminus8(X) & cplus8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_48')).
% 0.20/0.39 tff(96,plain,
% 0.20/0.39 (![X: $i] : (~(cminus8(X) & cplus8(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.20/0.39 tff(97,plain,(
% 0.20/0.39 ![X: $i] : (~(cminus8(X) & cplus8(X)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[96])).
% 0.20/0.39 tff(98,plain,
% 0.20/0.39 (![X: $i] : ((~cminus8(X)) | (~cplus8(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[97, 93])).
% 0.20/0.39 tff(99,plain,
% 0.20/0.39 (![X: $i] : ((~cminus8(X)) | (~cplus8(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[98, 91])).
% 0.20/0.39 tff(100,plain,
% 0.20/0.39 (((~![X: $i] : ((~cminus8(X)) | (~cplus8(X)))) | ((~cminus8(i2003_11_14_17_20_46476)) | (~cplus8(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cminus8(X)) | (~cplus8(X)))) | (~cminus8(i2003_11_14_17_20_46476)) | (~cplus8(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(101,plain,
% 0.20/0.39 ((~![X: $i] : ((~cminus8(X)) | (~cplus8(X)))) | ((~cminus8(i2003_11_14_17_20_46476)) | (~cplus8(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(102,plain,
% 0.20/0.39 ((~![X: $i] : ((~cminus8(X)) | (~cplus8(X)))) | (~cminus8(i2003_11_14_17_20_46476)) | (~cplus8(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.20/0.39 tff(103,plain,
% 0.20/0.39 (~cplus8(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[102, 99, 89])).
% 0.20/0.39 tff(104,assumption,(~cminus9(i2003_11_14_17_20_46476)), introduced(assumption)).
% 0.20/0.39 tff(105,plain,
% 0.20/0.39 (^[X: $i] : refl((cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X))) <=> (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(106,plain,
% 0.20/0.39 (![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X))) <=> ![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[105])).
% 0.20/0.39 tff(107,plain,
% 0.20/0.39 (![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X))) <=> ![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(108,plain,
% 0.20/0.39 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((cminus9(X) | cminus2(X)) <=> (cminus9(X) | cminus2(X))), (((cminus9(X) | cminus2(X)) | cplus3(X)) <=> ((cminus9(X) | cminus2(X)) | cplus3(X)))), rewrite(((cminus9(X) | cminus2(X)) | cplus3(X)) <=> (cplus3(X) | cminus9(X) | cminus2(X))), (((cminus9(X) | cminus2(X)) | cplus3(X)) <=> (cplus3(X) | cminus9(X) | cminus2(X)))), ((cTest(X) => ((cminus9(X) | cminus2(X)) | cplus3(X))) <=> (cTest(X) => (cplus3(X) | cminus9(X) | cminus2(X))))), rewrite((cTest(X) => (cplus3(X) | cminus9(X) | cminus2(X))) <=> (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))), ((cTest(X) => ((cminus9(X) | cminus2(X)) | cplus3(X))) <=> (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(109,plain,
% 0.20/0.39 (![X: $i] : (cTest(X) => ((cminus9(X) | cminus2(X)) | cplus3(X))) <=> ![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[108])).
% 0.20/0.39 tff(110,axiom,(![X: $i] : (cTest(X) => ((cminus9(X) | cminus2(X)) | cplus3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_35')).
% 0.20/0.39 tff(111,plain,
% 0.20/0.39 (![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.20/0.39 tff(112,plain,
% 0.20/0.39 (![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[111, 107])).
% 0.20/0.39 tff(113,plain,(
% 0.20/0.39 ![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[112])).
% 0.20/0.39 tff(114,plain,
% 0.20/0.39 (![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[113, 106])).
% 0.20/0.39 tff(115,plain,
% 0.20/0.39 (((~![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(116,plain,
% 0.20/0.39 ((cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> ((~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(117,plain,
% 0.20/0.39 (((~![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))) | (cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[116])).
% 0.20/0.39 tff(118,plain,
% 0.20/0.39 (((~![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))) | (cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(transitivity,[status(thm)],[117, 115])).
% 0.20/0.39 tff(119,plain,
% 0.20/0.39 ((~![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))) | (cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(120,plain,
% 0.20/0.39 ((~![X: $i] : (cplus3(X) | cminus9(X) | cminus2(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.20/0.39 tff(121,plain,
% 0.20/0.39 (cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[120, 114, 5])).
% 0.20/0.39 tff(122,plain,
% 0.20/0.39 (cminus2(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[121, 104, 1])).
% 0.20/0.39 tff(123,plain,
% 0.20/0.39 (^[X: $i] : refl(((~cminus2(X)) | (~cplus2(X))) <=> ((~cminus2(X)) | (~cplus2(X))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(124,plain,
% 0.20/0.39 (![X: $i] : ((~cminus2(X)) | (~cplus2(X))) <=> ![X: $i] : ((~cminus2(X)) | (~cplus2(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[123])).
% 0.20/0.39 tff(125,plain,
% 0.20/0.39 (^[X: $i] : trans(monotonicity(rewrite((cminus2(X) & cplus2(X)) <=> (~((~cminus2(X)) | (~cplus2(X))))), ((~(cminus2(X) & cplus2(X))) <=> (~(~((~cminus2(X)) | (~cplus2(X))))))), rewrite((~(~((~cminus2(X)) | (~cplus2(X))))) <=> ((~cminus2(X)) | (~cplus2(X)))), ((~(cminus2(X) & cplus2(X))) <=> ((~cminus2(X)) | (~cplus2(X)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(126,plain,
% 0.20/0.39 (![X: $i] : (~(cminus2(X) & cplus2(X))) <=> ![X: $i] : ((~cminus2(X)) | (~cplus2(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[125])).
% 0.20/0.39 tff(127,plain,
% 0.20/0.39 (![X: $i] : (~(cminus2(X) & cplus2(X))) <=> ![X: $i] : (~(cminus2(X) & cplus2(X)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(128,axiom,(![X: $i] : (~(cminus2(X) & cplus2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_54')).
% 0.20/0.39 tff(129,plain,
% 0.20/0.39 (![X: $i] : (~(cminus2(X) & cplus2(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.20/0.39 tff(130,plain,(
% 0.20/0.39 ![X: $i] : (~(cminus2(X) & cplus2(X)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[129])).
% 0.20/0.39 tff(131,plain,
% 0.20/0.39 (![X: $i] : ((~cminus2(X)) | (~cplus2(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[130, 126])).
% 0.20/0.39 tff(132,plain,
% 0.20/0.39 (![X: $i] : ((~cminus2(X)) | (~cplus2(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[131, 124])).
% 0.20/0.39 tff(133,plain,
% 0.20/0.39 (((~![X: $i] : ((~cminus2(X)) | (~cplus2(X)))) | ((~cminus2(i2003_11_14_17_20_46476)) | (~cplus2(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cminus2(X)) | (~cplus2(X)))) | (~cminus2(i2003_11_14_17_20_46476)) | (~cplus2(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(134,plain,
% 0.20/0.39 ((~![X: $i] : ((~cminus2(X)) | (~cplus2(X)))) | ((~cminus2(i2003_11_14_17_20_46476)) | (~cplus2(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(135,plain,
% 0.20/0.39 ((~![X: $i] : ((~cminus2(X)) | (~cplus2(X)))) | (~cminus2(i2003_11_14_17_20_46476)) | (~cplus2(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.20/0.39 tff(136,plain,
% 0.20/0.39 (~cplus2(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[135, 132, 122])).
% 0.20/0.39 tff(137,plain,
% 0.20/0.39 (cplus4(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[54, 104, 1])).
% 0.20/0.39 tff(138,plain,
% 0.20/0.39 (~cminus4(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[86, 83, 137])).
% 0.20/0.39 tff(139,plain,
% 0.20/0.39 (^[X: $i] : refl((cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X))) <=> (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(140,plain,
% 0.20/0.39 (![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X))) <=> ![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[139])).
% 0.20/0.39 tff(141,plain,
% 0.20/0.39 (![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X))) <=> ![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(142,plain,
% 0.20/0.39 (^[X: $i] : trans(monotonicity(rewrite(((cminus4(X) | cplus2(X)) | cplus8(X)) <=> (cplus8(X) | cminus4(X) | cplus2(X))), ((cTest(X) => ((cminus4(X) | cplus2(X)) | cplus8(X))) <=> (cTest(X) => (cplus8(X) | cminus4(X) | cplus2(X))))), rewrite((cTest(X) => (cplus8(X) | cminus4(X) | cplus2(X))) <=> (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))), ((cTest(X) => ((cminus4(X) | cplus2(X)) | cplus8(X))) <=> (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(143,plain,
% 0.20/0.39 (![X: $i] : (cTest(X) => ((cminus4(X) | cplus2(X)) | cplus8(X))) <=> ![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[142])).
% 0.20/0.39 tff(144,axiom,(![X: $i] : (cTest(X) => ((cminus4(X) | cplus2(X)) | cplus8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_45')).
% 0.20/0.39 tff(145,plain,
% 0.20/0.39 (![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.20/0.39 tff(146,plain,
% 0.20/0.39 (![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[145, 141])).
% 0.20/0.39 tff(147,plain,(
% 0.20/0.39 ![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[146])).
% 0.20/0.39 tff(148,plain,
% 0.20/0.39 (![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[147, 140])).
% 0.20/0.39 tff(149,plain,
% 0.20/0.39 (((~![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(150,plain,
% 0.20/0.39 ((cplus8(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> (cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(151,plain,
% 0.20/0.39 (((~![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[150])).
% 0.20/0.39 tff(152,plain,
% 0.20/0.39 (((~![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476))),
% 0.20/0.39 inference(transitivity,[status(thm)],[151, 149])).
% 0.20/0.39 tff(153,plain,
% 0.20/0.39 ((~![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(154,plain,
% 0.20/0.39 ((~![X: $i] : (cplus8(X) | cminus4(X) | cplus2(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.20/0.39 tff(155,plain,
% 0.20/0.39 (cplus8(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[154, 148, 5])).
% 0.20/0.39 tff(156,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[155, 138, 136, 103])).
% 0.20/0.39 tff(157,plain,(cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(158,plain,
% 0.20/0.39 (cminus9(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[157, 1])).
% 0.20/0.39 tff(159,plain,
% 0.20/0.39 (~cplus9(i2003_11_14_17_20_46476)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[36, 33, 158])).
% 0.20/0.39 tff(160,plain,
% 0.20/0.39 (^[X: $i] : refl((cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X))) <=> (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(161,plain,
% 0.20/0.39 (![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X))) <=> ![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[160])).
% 0.20/0.39 tff(162,plain,
% 0.20/0.39 (![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X))) <=> ![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(163,plain,
% 0.20/0.39 (^[X: $i] : trans(monotonicity(rewrite(((cplus3(X) | cplus4(X)) | cplus9(X)) <=> (cplus9(X) | cplus3(X) | cplus4(X))), ((cTest(X) => ((cplus3(X) | cplus4(X)) | cplus9(X))) <=> (cTest(X) => (cplus9(X) | cplus3(X) | cplus4(X))))), rewrite((cTest(X) => (cplus9(X) | cplus3(X) | cplus4(X))) <=> (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))), ((cTest(X) => ((cplus3(X) | cplus4(X)) | cplus9(X))) <=> (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(164,plain,
% 0.20/0.40 (![X: $i] : (cTest(X) => ((cplus3(X) | cplus4(X)) | cplus9(X))) <=> ![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[163])).
% 0.20/0.40 tff(165,axiom,(![X: $i] : (cTest(X) => ((cplus3(X) | cplus4(X)) | cplus9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_25')).
% 0.20/0.40 tff(166,plain,
% 0.20/0.40 (![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.20/0.40 tff(167,plain,
% 0.20/0.40 (![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[166, 162])).
% 0.20/0.40 tff(168,plain,(
% 0.20/0.40 ![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[167])).
% 0.20/0.40 tff(169,plain,
% 0.20/0.40 (![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[168, 161])).
% 0.20/0.40 tff(170,plain,
% 0.20/0.40 (((~![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(171,plain,
% 0.20/0.40 ((cplus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> ((~cTest(i2003_11_14_17_20_46476)) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(172,plain,
% 0.20/0.40 (((~![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))) | (cplus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[171])).
% 0.20/0.40 tff(173,plain,
% 0.20/0.40 (((~![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))) | (cplus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(transitivity,[status(thm)],[172, 170])).
% 0.20/0.40 tff(174,plain,
% 0.20/0.40 ((~![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))) | (cplus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(175,plain,
% 0.20/0.40 ((~![X: $i] : (cplus9(X) | cplus3(X) | cplus4(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.20/0.40 tff(176,plain,
% 0.20/0.40 (cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[175, 169, 5])).
% 0.20/0.40 tff(177,plain,
% 0.20/0.40 (cplus4(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[176, 159, 1])).
% 0.20/0.40 tff(178,assumption,(~cminus5(i2003_11_14_17_20_46476)), introduced(assumption)).
% 0.20/0.40 tff(179,plain,
% 0.20/0.40 (^[X: $i] : refl((cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X))) <=> (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(180,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X))) <=> ![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[179])).
% 0.20/0.40 tff(181,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X))) <=> ![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(182,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite(((cminus9(X) | cplus3(X)) | cminus5(X)) <=> (cminus5(X) | cplus3(X) | cminus9(X))), ((cTest(X) => ((cminus9(X) | cplus3(X)) | cminus5(X))) <=> (cTest(X) => (cminus5(X) | cplus3(X) | cminus9(X))))), rewrite((cTest(X) => (cminus5(X) | cplus3(X) | cminus9(X))) <=> (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))), ((cTest(X) => ((cminus9(X) | cplus3(X)) | cminus5(X))) <=> (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(183,plain,
% 0.20/0.40 (![X: $i] : (cTest(X) => ((cminus9(X) | cplus3(X)) | cminus5(X))) <=> ![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[182])).
% 0.20/0.40 tff(184,axiom,(![X: $i] : (cTest(X) => ((cminus9(X) | cplus3(X)) | cminus5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_40')).
% 0.20/0.40 tff(185,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.20/0.40 tff(186,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[185, 181])).
% 0.20/0.40 tff(187,plain,(
% 0.20/0.40 ![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[186])).
% 0.20/0.40 tff(188,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[187, 180])).
% 0.20/0.40 tff(189,plain,
% 0.20/0.40 (((~![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))) | (cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))) | cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(190,plain,
% 0.20/0.40 ((cminus5(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> (cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(191,plain,
% 0.20/0.40 (((~![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))) | (cminus5(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))) | (cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[190])).
% 0.20/0.40 tff(192,plain,
% 0.20/0.40 (((~![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))) | (cminus5(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))) | cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(transitivity,[status(thm)],[191, 189])).
% 0.20/0.40 tff(193,plain,
% 0.20/0.40 ((~![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))) | (cminus5(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(194,plain,
% 0.20/0.40 ((~![X: $i] : (cminus5(X) | cplus3(X) | cminus9(X) | (~cTest(X)))) | cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.20/0.40 tff(195,plain,
% 0.20/0.40 (cminus5(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[194, 188, 5])).
% 0.20/0.40 tff(196,plain,
% 0.20/0.40 (cminus9(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[195, 1, 178])).
% 0.20/0.40 tff(197,plain,
% 0.20/0.40 (~cplus9(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[36, 33, 196])).
% 0.20/0.40 tff(198,plain,
% 0.20/0.40 (cminus8(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[22, 197, 1])).
% 0.20/0.40 tff(199,plain,
% 0.20/0.40 (~cplus8(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[102, 99, 198])).
% 0.20/0.40 tff(200,plain,
% 0.20/0.40 (^[X: $i] : refl((cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X))) <=> (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(201,plain,
% 0.20/0.40 (![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X))) <=> ![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[200])).
% 0.20/0.40 tff(202,plain,
% 0.20/0.40 (![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X))) <=> ![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(203,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((cplus3(X) | cminus7(X)) <=> (cminus7(X) | cplus3(X))), (((cplus3(X) | cminus7(X)) | cplus8(X)) <=> ((cminus7(X) | cplus3(X)) | cplus8(X)))), rewrite(((cminus7(X) | cplus3(X)) | cplus8(X)) <=> (cplus8(X) | cminus7(X) | cplus3(X))), (((cplus3(X) | cminus7(X)) | cplus8(X)) <=> (cplus8(X) | cminus7(X) | cplus3(X)))), ((cTest(X) => ((cplus3(X) | cminus7(X)) | cplus8(X))) <=> (cTest(X) => (cplus8(X) | cminus7(X) | cplus3(X))))), rewrite((cTest(X) => (cplus8(X) | cminus7(X) | cplus3(X))) <=> (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))), ((cTest(X) => ((cplus3(X) | cminus7(X)) | cplus8(X))) <=> (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(204,plain,
% 0.20/0.40 (![X: $i] : (cTest(X) => ((cplus3(X) | cminus7(X)) | cplus8(X))) <=> ![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[203])).
% 0.20/0.40 tff(205,axiom,(![X: $i] : (cTest(X) => ((cplus3(X) | cminus7(X)) | cplus8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_6')).
% 0.20/0.40 tff(206,plain,
% 0.20/0.40 (![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.20/0.40 tff(207,plain,
% 0.20/0.40 (![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[206, 202])).
% 0.20/0.40 tff(208,plain,(
% 0.20/0.40 ![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[207])).
% 0.20/0.40 tff(209,plain,
% 0.20/0.40 (![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[208, 201])).
% 0.20/0.40 tff(210,plain,
% 0.20/0.40 (((~![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(211,plain,
% 0.20/0.40 ((cplus8(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> (cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(212,plain,
% 0.20/0.40 (((~![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[211])).
% 0.20/0.40 tff(213,plain,
% 0.20/0.40 (((~![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(transitivity,[status(thm)],[212, 210])).
% 0.20/0.40 tff(214,plain,
% 0.20/0.40 ((~![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(215,plain,
% 0.20/0.40 ((~![X: $i] : (cplus8(X) | cminus7(X) | cplus3(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus3(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.20/0.40 tff(216,plain,
% 0.20/0.40 (cplus8(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[215, 209, 5])).
% 0.20/0.40 tff(217,plain,
% 0.20/0.40 (cminus7(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[216, 199, 1])).
% 0.20/0.40 tff(218,plain,
% 0.20/0.40 (^[X: $i] : refl((cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X))) <=> (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(219,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X))) <=> ![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[218])).
% 0.20/0.40 tff(220,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X))) <=> ![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(221,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite(((cminus5(X) | cplus7(X)) | cplus8(X)) <=> (cminus5(X) | cplus8(X) | cplus7(X))), ((cTest(X) => ((cminus5(X) | cplus7(X)) | cplus8(X))) <=> (cTest(X) => (cminus5(X) | cplus8(X) | cplus7(X))))), rewrite((cTest(X) => (cminus5(X) | cplus8(X) | cplus7(X))) <=> (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))), ((cTest(X) => ((cminus5(X) | cplus7(X)) | cplus8(X))) <=> (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(222,plain,
% 0.20/0.40 (![X: $i] : (cTest(X) => ((cminus5(X) | cplus7(X)) | cplus8(X))) <=> ![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[221])).
% 0.20/0.40 tff(223,axiom,(![X: $i] : (cTest(X) => ((cminus5(X) | cplus7(X)) | cplus8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_46')).
% 0.20/0.40 tff(224,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.20/0.40 tff(225,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[224, 220])).
% 0.20/0.40 tff(226,plain,(
% 0.20/0.40 ![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[225])).
% 0.20/0.40 tff(227,plain,
% 0.20/0.40 (![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[226, 219])).
% 0.20/0.40 tff(228,plain,
% 0.20/0.40 (((~![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | (cminus5(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | cminus5(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(229,plain,
% 0.20/0.40 ((~![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | (cminus5(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(230,plain,
% 0.20/0.40 ((~![X: $i] : (cminus5(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | cminus5(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.20/0.40 tff(231,plain,
% 0.20/0.40 (cminus5(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[230, 227, 5])).
% 0.20/0.40 tff(232,plain,
% 0.20/0.40 (cplus7(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[231, 199, 178])).
% 0.20/0.40 tff(233,plain,
% 0.20/0.40 (^[X: $i] : refl(((~cminus7(X)) | (~cplus7(X))) <=> ((~cminus7(X)) | (~cplus7(X))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(234,plain,
% 0.20/0.40 (![X: $i] : ((~cminus7(X)) | (~cplus7(X))) <=> ![X: $i] : ((~cminus7(X)) | (~cplus7(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[233])).
% 0.20/0.40 tff(235,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite((cminus7(X) & cplus7(X)) <=> (~((~cminus7(X)) | (~cplus7(X))))), ((~(cminus7(X) & cplus7(X))) <=> (~(~((~cminus7(X)) | (~cplus7(X))))))), rewrite((~(~((~cminus7(X)) | (~cplus7(X))))) <=> ((~cminus7(X)) | (~cplus7(X)))), ((~(cminus7(X) & cplus7(X))) <=> ((~cminus7(X)) | (~cplus7(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(236,plain,
% 0.20/0.40 (![X: $i] : (~(cminus7(X) & cplus7(X))) <=> ![X: $i] : ((~cminus7(X)) | (~cplus7(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[235])).
% 0.20/0.40 tff(237,plain,
% 0.20/0.40 (![X: $i] : (~(cminus7(X) & cplus7(X))) <=> ![X: $i] : (~(cminus7(X) & cplus7(X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(238,axiom,(![X: $i] : (~(cminus7(X) & cplus7(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_51')).
% 0.20/0.40 tff(239,plain,
% 0.20/0.40 (![X: $i] : (~(cminus7(X) & cplus7(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.20/0.40 tff(240,plain,(
% 0.20/0.40 ![X: $i] : (~(cminus7(X) & cplus7(X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[239])).
% 0.20/0.40 tff(241,plain,
% 0.20/0.40 (![X: $i] : ((~cminus7(X)) | (~cplus7(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[240, 236])).
% 0.20/0.40 tff(242,plain,
% 0.20/0.40 (![X: $i] : ((~cminus7(X)) | (~cplus7(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[241, 234])).
% 0.20/0.40 tff(243,plain,
% 0.20/0.40 (((~![X: $i] : ((~cminus7(X)) | (~cplus7(X)))) | ((~cminus7(i2003_11_14_17_20_46476)) | (~cplus7(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cminus7(X)) | (~cplus7(X)))) | (~cminus7(i2003_11_14_17_20_46476)) | (~cplus7(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(244,plain,
% 0.20/0.40 ((~![X: $i] : ((~cminus7(X)) | (~cplus7(X)))) | ((~cminus7(i2003_11_14_17_20_46476)) | (~cplus7(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(245,plain,
% 0.20/0.40 ((~![X: $i] : ((~cminus7(X)) | (~cplus7(X)))) | (~cminus7(i2003_11_14_17_20_46476)) | (~cplus7(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.20/0.40 tff(246,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[245, 242, 232, 217])).
% 0.20/0.40 tff(247,plain,(cplus3(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(248,plain,
% 0.20/0.40 (cplus3(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[247, 178])).
% 0.20/0.40 tff(249,plain,
% 0.20/0.40 (^[X: $i] : refl(((~cplus3(X)) | (~cminus3(X))) <=> ((~cplus3(X)) | (~cminus3(X))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(250,plain,
% 0.20/0.40 (![X: $i] : ((~cplus3(X)) | (~cminus3(X))) <=> ![X: $i] : ((~cplus3(X)) | (~cminus3(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[249])).
% 0.20/0.40 tff(251,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite((cplus3(X) & cminus3(X)) <=> (~((~cplus3(X)) | (~cminus3(X))))), ((~(cplus3(X) & cminus3(X))) <=> (~(~((~cplus3(X)) | (~cminus3(X))))))), rewrite((~(~((~cplus3(X)) | (~cminus3(X))))) <=> ((~cplus3(X)) | (~cminus3(X)))), ((~(cplus3(X) & cminus3(X))) <=> ((~cplus3(X)) | (~cminus3(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(252,plain,
% 0.20/0.40 (![X: $i] : (~(cplus3(X) & cminus3(X))) <=> ![X: $i] : ((~cplus3(X)) | (~cminus3(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[251])).
% 0.20/0.40 tff(253,plain,
% 0.20/0.40 (![X: $i] : (~(cplus3(X) & cminus3(X))) <=> ![X: $i] : (~(cplus3(X) & cminus3(X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(254,axiom,(![X: $i] : (~(cplus3(X) & cminus3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_52')).
% 0.20/0.40 tff(255,plain,
% 0.20/0.40 (![X: $i] : (~(cplus3(X) & cminus3(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.20/0.40 tff(256,plain,(
% 0.20/0.40 ![X: $i] : (~(cplus3(X) & cminus3(X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[255])).
% 0.20/0.40 tff(257,plain,
% 0.20/0.40 (![X: $i] : ((~cplus3(X)) | (~cminus3(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[256, 252])).
% 0.20/0.40 tff(258,plain,
% 0.20/0.40 (![X: $i] : ((~cplus3(X)) | (~cminus3(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[257, 250])).
% 0.20/0.40 tff(259,plain,
% 0.20/0.40 (((~![X: $i] : ((~cplus3(X)) | (~cminus3(X)))) | ((~cminus3(i2003_11_14_17_20_46476)) | (~cplus3(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cplus3(X)) | (~cminus3(X)))) | (~cminus3(i2003_11_14_17_20_46476)) | (~cplus3(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(260,plain,
% 0.20/0.40 (((~cplus3(i2003_11_14_17_20_46476)) | (~cminus3(i2003_11_14_17_20_46476))) <=> ((~cminus3(i2003_11_14_17_20_46476)) | (~cplus3(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(261,plain,
% 0.20/0.40 (((~![X: $i] : ((~cplus3(X)) | (~cminus3(X)))) | ((~cplus3(i2003_11_14_17_20_46476)) | (~cminus3(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cplus3(X)) | (~cminus3(X)))) | ((~cminus3(i2003_11_14_17_20_46476)) | (~cplus3(i2003_11_14_17_20_46476))))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[260])).
% 0.20/0.40 tff(262,plain,
% 0.20/0.40 (((~![X: $i] : ((~cplus3(X)) | (~cminus3(X)))) | ((~cplus3(i2003_11_14_17_20_46476)) | (~cminus3(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cplus3(X)) | (~cminus3(X)))) | (~cminus3(i2003_11_14_17_20_46476)) | (~cplus3(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(transitivity,[status(thm)],[261, 259])).
% 0.20/0.40 tff(263,plain,
% 0.20/0.40 ((~![X: $i] : ((~cplus3(X)) | (~cminus3(X)))) | ((~cplus3(i2003_11_14_17_20_46476)) | (~cminus3(i2003_11_14_17_20_46476)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(264,plain,
% 0.20/0.40 ((~![X: $i] : ((~cplus3(X)) | (~cminus3(X)))) | (~cminus3(i2003_11_14_17_20_46476)) | (~cplus3(i2003_11_14_17_20_46476))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.20/0.40 tff(265,plain,
% 0.20/0.40 (~cminus3(i2003_11_14_17_20_46476)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[264, 258, 248])).
% 0.20/0.40 tff(266,plain,
% 0.20/0.40 (^[X: $i] : refl((cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X))) <=> (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(267,plain,
% 0.20/0.40 (![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X))) <=> ![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[266])).
% 0.20/0.40 tff(268,plain,
% 0.20/0.40 (![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X))) <=> ![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(269,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite(((cminus3(X) | cminus5(X)) | cminus8(X)) <=> (cminus8(X) | cminus5(X) | cminus3(X))), ((cTest(X) => ((cminus3(X) | cminus5(X)) | cminus8(X))) <=> (cTest(X) => (cminus8(X) | cminus5(X) | cminus3(X))))), rewrite((cTest(X) => (cminus8(X) | cminus5(X) | cminus3(X))) <=> (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))), ((cTest(X) => ((cminus3(X) | cminus5(X)) | cminus8(X))) <=> (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(270,plain,
% 0.20/0.40 (![X: $i] : (cTest(X) => ((cminus3(X) | cminus5(X)) | cminus8(X))) <=> ![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[269])).
% 0.20/0.40 tff(271,axiom,(![X: $i] : (cTest(X) => ((cminus3(X) | cminus5(X)) | cminus8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.20/0.40 tff(272,plain,
% 0.20/0.40 (![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[271, 270])).
% 0.20/0.40 tff(273,plain,
% 0.20/0.40 (![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[272, 268])).
% 0.20/0.41 tff(274,plain,(
% 0.20/0.41 ![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[273])).
% 0.20/0.41 tff(275,plain,
% 0.20/0.41 (![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[274, 267])).
% 0.20/0.41 tff(276,plain,
% 0.20/0.41 (((~![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))) | (cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))) | cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(277,plain,
% 0.20/0.41 ((cminus8(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> (cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(278,plain,
% 0.20/0.41 (((~![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))) | (cminus8(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))) | (cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[277])).
% 0.20/0.41 tff(279,plain,
% 0.20/0.41 (((~![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))) | (cminus8(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))) | cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(transitivity,[status(thm)],[278, 276])).
% 0.20/0.41 tff(280,plain,
% 0.20/0.41 ((~![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))) | (cminus8(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(281,plain,
% 0.20/0.41 ((~![X: $i] : (cminus8(X) | cminus5(X) | cminus3(X) | (~cTest(X)))) | cminus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.20/0.41 tff(282,plain,
% 0.20/0.41 (cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[281, 275, 5])).
% 0.20/0.41 tff(283,plain,
% 0.20/0.41 (cminus8(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[282, 265, 178])).
% 0.20/0.41 tff(284,plain,
% 0.20/0.41 (~cplus8(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[102, 99, 283])).
% 0.20/0.41 tff(285,plain,
% 0.20/0.41 (^[X: $i] : refl((cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X))) <=> (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(286,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X))) <=> ![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[285])).
% 0.20/0.41 tff(287,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X))) <=> ![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(288,plain,
% 0.20/0.41 (^[X: $i] : trans(monotonicity(rewrite(((cminus3(X) | cplus2(X)) | cplus8(X)) <=> (cminus3(X) | cplus8(X) | cplus2(X))), ((cTest(X) => ((cminus3(X) | cplus2(X)) | cplus8(X))) <=> (cTest(X) => (cminus3(X) | cplus8(X) | cplus2(X))))), rewrite((cTest(X) => (cminus3(X) | cplus8(X) | cplus2(X))) <=> (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))), ((cTest(X) => ((cminus3(X) | cplus2(X)) | cplus8(X))) <=> (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(289,plain,
% 0.20/0.41 (![X: $i] : (cTest(X) => ((cminus3(X) | cplus2(X)) | cplus8(X))) <=> ![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[288])).
% 0.20/0.41 tff(290,axiom,(![X: $i] : (cTest(X) => ((cminus3(X) | cplus2(X)) | cplus8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_20')).
% 0.20/0.41 tff(291,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[290, 289])).
% 0.20/0.41 tff(292,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[291, 287])).
% 0.20/0.41 tff(293,plain,(
% 0.20/0.41 ![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[292])).
% 0.20/0.41 tff(294,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[293, 286])).
% 0.20/0.41 tff(295,plain,
% 0.20/0.41 (((~![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus2(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus2(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(296,plain,
% 0.20/0.41 ((cminus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> (cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus2(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(297,plain,
% 0.20/0.41 (((~![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))) | (cminus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus2(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[296])).
% 0.20/0.41 tff(298,plain,
% 0.20/0.41 (((~![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))) | (cminus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus2(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(transitivity,[status(thm)],[297, 295])).
% 0.20/0.41 tff(299,plain,
% 0.20/0.41 ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))) | (cminus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(300,plain,
% 0.20/0.41 ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus2(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cplus2(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[299, 298])).
% 0.20/0.41 tff(301,plain,
% 0.20/0.41 (cplus8(i2003_11_14_17_20_46476) | cplus2(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[300, 294, 5])).
% 0.20/0.41 tff(302,plain,
% 0.20/0.41 (cplus2(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[301, 284, 265])).
% 0.20/0.41 tff(303,plain,
% 0.20/0.41 (~cminus2(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[135, 132, 302])).
% 0.20/0.41 tff(304,plain,
% 0.20/0.41 (cplus7(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[231, 284, 178])).
% 0.20/0.41 tff(305,plain,
% 0.20/0.41 (~cminus7(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[245, 242, 304])).
% 0.20/0.41 tff(306,plain,
% 0.20/0.41 (^[X: $i] : refl((cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X))) <=> (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(307,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X))) <=> ![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[306])).
% 0.20/0.41 tff(308,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X))) <=> ![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(309,plain,
% 0.20/0.41 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((cminus4(X) | cminus3(X)) <=> (cminus3(X) | cminus4(X))), (((cminus4(X) | cminus3(X)) | cminus7(X)) <=> ((cminus3(X) | cminus4(X)) | cminus7(X)))), rewrite(((cminus3(X) | cminus4(X)) | cminus7(X)) <=> (cminus3(X) | cminus4(X) | cminus7(X))), (((cminus4(X) | cminus3(X)) | cminus7(X)) <=> (cminus3(X) | cminus4(X) | cminus7(X)))), ((cTest(X) => ((cminus4(X) | cminus3(X)) | cminus7(X))) <=> (cTest(X) => (cminus3(X) | cminus4(X) | cminus7(X))))), rewrite((cTest(X) => (cminus3(X) | cminus4(X) | cminus7(X))) <=> (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))), ((cTest(X) => ((cminus4(X) | cminus3(X)) | cminus7(X))) <=> (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(310,plain,
% 0.20/0.41 (![X: $i] : (cTest(X) => ((cminus4(X) | cminus3(X)) | cminus7(X))) <=> ![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[309])).
% 0.20/0.41 tff(311,axiom,(![X: $i] : (cTest(X) => ((cminus4(X) | cminus3(X)) | cminus7(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_29')).
% 0.20/0.41 tff(312,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[311, 310])).
% 0.20/0.41 tff(313,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[312, 308])).
% 0.20/0.41 tff(314,plain,(
% 0.20/0.41 ![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[313])).
% 0.20/0.41 tff(315,plain,
% 0.20/0.41 (![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[314, 307])).
% 0.20/0.41 tff(316,plain,
% 0.20/0.41 (((~![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))) | (cminus3(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))) | cminus3(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(317,plain,
% 0.20/0.41 ((~![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))) | (cminus3(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(318,plain,
% 0.20/0.41 ((~![X: $i] : (cminus3(X) | cminus4(X) | cminus7(X) | (~cTest(X)))) | cminus3(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[317, 316])).
% 0.20/0.41 tff(319,plain,
% 0.20/0.41 (cminus3(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[318, 315, 5])).
% 0.20/0.41 tff(320,plain,
% 0.20/0.41 (cminus4(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[319, 305, 265])).
% 0.20/0.41 tff(321,plain,
% 0.20/0.41 (~cplus4(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[86, 83, 320])).
% 0.20/0.41 tff(322,plain,
% 0.20/0.41 (^[X: $i] : refl((cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X))) <=> (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(323,plain,
% 0.20/0.41 (![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X))) <=> ![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[322])).
% 0.20/0.41 tff(324,plain,
% 0.20/0.41 (![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X))) <=> ![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(325,plain,
% 0.20/0.41 (^[X: $i] : trans(monotonicity(rewrite(((cminus2(X) | cplus6(X)) | cminus7(X)) <=> (cplus6(X) | cminus7(X) | cminus2(X))), ((cTest(X) => ((cminus2(X) | cplus6(X)) | cminus7(X))) <=> (cTest(X) => (cplus6(X) | cminus7(X) | cminus2(X))))), rewrite((cTest(X) => (cplus6(X) | cminus7(X) | cminus2(X))) <=> (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))), ((cTest(X) => ((cminus2(X) | cplus6(X)) | cminus7(X))) <=> (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(326,plain,
% 0.20/0.41 (![X: $i] : (cTest(X) => ((cminus2(X) | cplus6(X)) | cminus7(X))) <=> ![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[325])).
% 0.20/0.41 tff(327,axiom,(![X: $i] : (cTest(X) => ((cminus2(X) | cplus6(X)) | cminus7(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_22')).
% 0.20/0.41 tff(328,plain,
% 0.20/0.41 (![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.20/0.41 tff(329,plain,
% 0.20/0.41 (![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[328, 324])).
% 0.20/0.41 tff(330,plain,(
% 0.20/0.41 ![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[329])).
% 0.20/0.41 tff(331,plain,
% 0.20/0.41 (![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[330, 323])).
% 0.20/0.41 tff(332,plain,
% 0.20/0.41 (((~![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cplus6(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cplus6(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(333,plain,
% 0.20/0.41 ((cplus6(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> ((~cTest(i2003_11_14_17_20_46476)) | cplus6(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(334,plain,
% 0.20/0.41 (((~![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))) | (cplus6(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cplus6(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[333])).
% 0.20/0.41 tff(335,plain,
% 0.20/0.41 (((~![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))) | (cplus6(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cplus6(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(transitivity,[status(thm)],[334, 332])).
% 0.20/0.41 tff(336,plain,
% 0.20/0.41 ((~![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))) | (cplus6(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(337,plain,
% 0.20/0.41 ((~![X: $i] : (cplus6(X) | cminus7(X) | cminus2(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cplus6(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[336, 335])).
% 0.20/0.41 tff(338,plain,
% 0.20/0.41 (cplus6(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[337, 331, 5])).
% 0.20/0.41 tff(339,plain,
% 0.20/0.41 (cplus6(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[338, 303, 305])).
% 0.20/0.41 tff(340,plain,
% 0.20/0.41 (^[X: $i] : refl(((~cplus6(X)) | (~cminus6(X))) <=> ((~cplus6(X)) | (~cminus6(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(341,plain,
% 0.20/0.41 (![X: $i] : ((~cplus6(X)) | (~cminus6(X))) <=> ![X: $i] : ((~cplus6(X)) | (~cminus6(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[340])).
% 0.20/0.41 tff(342,plain,
% 0.20/0.41 (^[X: $i] : trans(monotonicity(rewrite((cplus6(X) & cminus6(X)) <=> (~((~cplus6(X)) | (~cminus6(X))))), ((~(cplus6(X) & cminus6(X))) <=> (~(~((~cplus6(X)) | (~cminus6(X))))))), rewrite((~(~((~cplus6(X)) | (~cminus6(X))))) <=> ((~cplus6(X)) | (~cminus6(X)))), ((~(cplus6(X) & cminus6(X))) <=> ((~cplus6(X)) | (~cminus6(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(343,plain,
% 0.20/0.41 (![X: $i] : (~(cplus6(X) & cminus6(X))) <=> ![X: $i] : ((~cplus6(X)) | (~cminus6(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[342])).
% 0.20/0.41 tff(344,plain,
% 0.20/0.41 (![X: $i] : (~(cplus6(X) & cminus6(X))) <=> ![X: $i] : (~(cplus6(X) & cminus6(X)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(345,axiom,(![X: $i] : (~(cplus6(X) & cminus6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_56')).
% 0.20/0.41 tff(346,plain,
% 0.20/0.41 (![X: $i] : (~(cplus6(X) & cminus6(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[345, 344])).
% 0.20/0.41 tff(347,plain,(
% 0.20/0.41 ![X: $i] : (~(cplus6(X) & cminus6(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[346])).
% 0.20/0.41 tff(348,plain,
% 0.20/0.41 (![X: $i] : ((~cplus6(X)) | (~cminus6(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[347, 343])).
% 0.20/0.41 tff(349,plain,
% 0.20/0.41 (![X: $i] : ((~cplus6(X)) | (~cminus6(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[348, 341])).
% 0.20/0.41 tff(350,plain,
% 0.20/0.41 (((~![X: $i] : ((~cplus6(X)) | (~cminus6(X)))) | ((~cplus6(i2003_11_14_17_20_46476)) | (~cminus6(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cplus6(X)) | (~cminus6(X)))) | (~cplus6(i2003_11_14_17_20_46476)) | (~cminus6(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(351,plain,
% 0.20/0.41 ((~![X: $i] : ((~cplus6(X)) | (~cminus6(X)))) | ((~cplus6(i2003_11_14_17_20_46476)) | (~cminus6(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(352,plain,
% 0.20/0.41 ((~![X: $i] : ((~cplus6(X)) | (~cminus6(X)))) | (~cplus6(i2003_11_14_17_20_46476)) | (~cminus6(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[351, 350])).
% 0.20/0.41 tff(353,plain,
% 0.20/0.41 (~cminus6(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[352, 349, 339])).
% 0.20/0.41 tff(354,plain,
% 0.20/0.41 (^[X: $i] : refl((cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X))) <=> (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(355,plain,
% 0.20/0.41 (![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X))) <=> ![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[354])).
% 0.20/0.41 tff(356,plain,
% 0.20/0.41 (![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X))) <=> ![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(357,plain,
% 0.20/0.41 (^[X: $i] : trans(monotonicity(rewrite(((cminus2(X) | cplus4(X)) | cminus6(X)) <=> (cminus6(X) | cplus4(X) | cminus2(X))), ((cTest(X) => ((cminus2(X) | cplus4(X)) | cminus6(X))) <=> (cTest(X) => (cminus6(X) | cplus4(X) | cminus2(X))))), rewrite((cTest(X) => (cminus6(X) | cplus4(X) | cminus2(X))) <=> (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))), ((cTest(X) => ((cminus2(X) | cplus4(X)) | cminus6(X))) <=> (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(358,plain,
% 0.20/0.41 (![X: $i] : (cTest(X) => ((cminus2(X) | cplus4(X)) | cminus6(X))) <=> ![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[357])).
% 0.20/0.41 tff(359,axiom,(![X: $i] : (cTest(X) => ((cminus2(X) | cplus4(X)) | cminus6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_21')).
% 0.20/0.41 tff(360,plain,
% 0.20/0.41 (![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[359, 358])).
% 0.20/0.41 tff(361,plain,
% 0.20/0.41 (![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[360, 356])).
% 0.20/0.41 tff(362,plain,(
% 0.20/0.41 ![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[361])).
% 0.20/0.41 tff(363,plain,
% 0.20/0.41 (![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[362, 355])).
% 0.20/0.41 tff(364,plain,
% 0.20/0.41 (((~![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(365,plain,
% 0.20/0.41 ((cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> ((~cTest(i2003_11_14_17_20_46476)) | cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(366,plain,
% 0.20/0.41 (((~![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))) | (cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[365])).
% 0.20/0.41 tff(367,plain,
% 0.20/0.41 (((~![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))) | (cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476))),
% 0.20/0.41 inference(transitivity,[status(thm)],[366, 364])).
% 0.20/0.41 tff(368,plain,
% 0.20/0.41 ((~![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))) | (cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(369,plain,
% 0.20/0.41 ((~![X: $i] : (cminus6(X) | cplus4(X) | cminus2(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[368, 367])).
% 0.20/0.41 tff(370,plain,
% 0.20/0.41 (cminus6(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus2(i2003_11_14_17_20_46476)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[369, 363, 5])).
% 0.20/0.41 tff(371,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[370, 353, 321, 303])).
% 0.20/0.41 tff(372,plain,(cminus5(i2003_11_14_17_20_46476)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.41 tff(373,plain,
% 0.20/0.41 (^[X: $i] : refl(((~cplus5(X)) | (~cminus5(X))) <=> ((~cplus5(X)) | (~cminus5(X))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(374,plain,
% 0.20/0.41 (![X: $i] : ((~cplus5(X)) | (~cminus5(X))) <=> ![X: $i] : ((~cplus5(X)) | (~cminus5(X)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[373])).
% 0.20/0.41 tff(375,plain,
% 0.20/0.41 (^[X: $i] : trans(monotonicity(rewrite((cplus5(X) & cminus5(X)) <=> (~((~cplus5(X)) | (~cminus5(X))))), ((~(cplus5(X) & cminus5(X))) <=> (~(~((~cplus5(X)) | (~cminus5(X))))))), rewrite((~(~((~cplus5(X)) | (~cminus5(X))))) <=> ((~cplus5(X)) | (~cminus5(X)))), ((~(cplus5(X) & cminus5(X))) <=> ((~cplus5(X)) | (~cminus5(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(376,plain,
% 0.20/0.41 (![X: $i] : (~(cplus5(X) & cminus5(X))) <=> ![X: $i] : ((~cplus5(X)) | (~cminus5(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[375])).
% 0.20/0.42 tff(377,plain,
% 0.20/0.42 (![X: $i] : (~(cplus5(X) & cminus5(X))) <=> ![X: $i] : (~(cplus5(X) & cminus5(X)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(378,axiom,(![X: $i] : (~(cplus5(X) & cminus5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_53')).
% 0.20/0.42 tff(379,plain,
% 0.20/0.42 (![X: $i] : (~(cplus5(X) & cminus5(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[378, 377])).
% 0.20/0.42 tff(380,plain,(
% 0.20/0.42 ![X: $i] : (~(cplus5(X) & cminus5(X)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[379])).
% 0.20/0.42 tff(381,plain,
% 0.20/0.42 (![X: $i] : ((~cplus5(X)) | (~cminus5(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[380, 376])).
% 0.20/0.42 tff(382,plain,
% 0.20/0.42 (![X: $i] : ((~cplus5(X)) | (~cminus5(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[381, 374])).
% 0.20/0.42 tff(383,plain,
% 0.20/0.42 (((~![X: $i] : ((~cplus5(X)) | (~cminus5(X)))) | ((~cplus5(i2003_11_14_17_20_46476)) | (~cminus5(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : ((~cplus5(X)) | (~cminus5(X)))) | (~cplus5(i2003_11_14_17_20_46476)) | (~cminus5(i2003_11_14_17_20_46476)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(384,plain,
% 0.20/0.42 ((~![X: $i] : ((~cplus5(X)) | (~cminus5(X)))) | ((~cplus5(i2003_11_14_17_20_46476)) | (~cminus5(i2003_11_14_17_20_46476)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(385,plain,
% 0.20/0.42 ((~![X: $i] : ((~cplus5(X)) | (~cminus5(X)))) | (~cplus5(i2003_11_14_17_20_46476)) | (~cminus5(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[384, 383])).
% 0.20/0.42 tff(386,plain,
% 0.20/0.42 (~cplus5(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[385, 382, 372])).
% 0.20/0.42 tff(387,plain,
% 0.20/0.42 (^[X: $i] : refl((cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X))) <=> (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(388,plain,
% 0.20/0.42 (![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X))) <=> ![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[387])).
% 0.20/0.42 tff(389,plain,
% 0.20/0.42 (![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X))) <=> ![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(390,plain,
% 0.20/0.42 (^[X: $i] : trans(monotonicity(rewrite(((cminus4(X) | cplus5(X)) | cplus9(X)) <=> (cplus9(X) | cminus4(X) | cplus5(X))), ((cTest(X) => ((cminus4(X) | cplus5(X)) | cplus9(X))) <=> (cTest(X) => (cplus9(X) | cminus4(X) | cplus5(X))))), rewrite((cTest(X) => (cplus9(X) | cminus4(X) | cplus5(X))) <=> (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))), ((cTest(X) => ((cminus4(X) | cplus5(X)) | cplus9(X))) <=> (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(391,plain,
% 0.20/0.42 (![X: $i] : (cTest(X) => ((cminus4(X) | cplus5(X)) | cplus9(X))) <=> ![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[390])).
% 0.20/0.42 tff(392,axiom,(![X: $i] : (cTest(X) => ((cminus4(X) | cplus5(X)) | cplus9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_7')).
% 0.20/0.42 tff(393,plain,
% 0.20/0.42 (![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[392, 391])).
% 0.20/0.42 tff(394,plain,
% 0.20/0.42 (![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[393, 389])).
% 0.20/0.42 tff(395,plain,(
% 0.20/0.42 ![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[394])).
% 0.20/0.42 tff(396,plain,
% 0.20/0.42 (![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[395, 388])).
% 0.20/0.42 tff(397,plain,
% 0.20/0.42 (((~![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(398,plain,
% 0.20/0.42 ((cplus9(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> ((~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(399,plain,
% 0.20/0.42 (((~![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))) | (cplus9(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476)))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[398])).
% 0.20/0.42 tff(400,plain,
% 0.20/0.42 (((~![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))) | (cplus9(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(transitivity,[status(thm)],[399, 397])).
% 0.20/0.42 tff(401,plain,
% 0.20/0.42 ((~![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))) | (cplus9(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(402,plain,
% 0.20/0.42 ((~![X: $i] : (cplus9(X) | cminus4(X) | cplus5(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[401, 400])).
% 0.20/0.42 tff(403,plain,
% 0.20/0.42 (cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[402, 396, 5])).
% 0.20/0.42 tff(404,plain,
% 0.20/0.42 (cminus4(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[403, 159, 386])).
% 0.20/0.42 tff(405,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[86, 83, 404, 177])).
% 0.20/0.42 tff(406,plain,(cplus3(i2003_11_14_17_20_46476)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.42 tff(407,plain,
% 0.20/0.42 (~cminus3(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[264, 258, 406])).
% 0.20/0.42 tff(408,plain,
% 0.20/0.42 (^[X: $i] : refl((cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X))) <=> (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(409,plain,
% 0.20/0.42 (![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X))) <=> ![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[408])).
% 0.20/0.42 tff(410,plain,
% 0.20/0.42 (![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X))) <=> ![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(411,plain,
% 0.20/0.42 (^[X: $i] : trans(monotonicity(rewrite(((cminus3(X) | cplus5(X)) | cminus8(X)) <=> (cminus8(X) | cminus3(X) | cplus5(X))), ((cTest(X) => ((cminus3(X) | cplus5(X)) | cminus8(X))) <=> (cTest(X) => (cminus8(X) | cminus3(X) | cplus5(X))))), rewrite((cTest(X) => (cminus8(X) | cminus3(X) | cplus5(X))) <=> (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))), ((cTest(X) => ((cminus3(X) | cplus5(X)) | cminus8(X))) <=> (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(412,plain,
% 0.20/0.42 (![X: $i] : (cTest(X) => ((cminus3(X) | cplus5(X)) | cminus8(X))) <=> ![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[411])).
% 0.20/0.42 tff(413,axiom,(![X: $i] : (cTest(X) => ((cminus3(X) | cplus5(X)) | cminus8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_15')).
% 0.20/0.42 tff(414,plain,
% 0.20/0.42 (![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[413, 412])).
% 0.20/0.42 tff(415,plain,
% 0.20/0.42 (![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[414, 410])).
% 0.20/0.42 tff(416,plain,(
% 0.20/0.42 ![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[415])).
% 0.20/0.42 tff(417,plain,
% 0.20/0.42 (![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[416, 409])).
% 0.20/0.42 tff(418,plain,
% 0.20/0.42 (((~![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(419,plain,
% 0.20/0.42 ((cminus8(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> ((~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(420,plain,
% 0.20/0.42 (((~![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))) | (cminus8(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))) | ((~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476)))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[419])).
% 0.20/0.42 tff(421,plain,
% 0.20/0.42 (((~![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))) | (cminus8(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(transitivity,[status(thm)],[420, 418])).
% 0.20/0.42 tff(422,plain,
% 0.20/0.42 ((~![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))) | (cminus8(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(423,plain,
% 0.20/0.42 ((~![X: $i] : (cminus8(X) | cminus3(X) | cplus5(X) | (~cTest(X)))) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[422, 421])).
% 0.20/0.42 tff(424,plain,
% 0.20/0.42 (cminus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus5(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[423, 417, 5])).
% 0.20/0.42 tff(425,plain,
% 0.20/0.42 (cminus8(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[424, 407, 386])).
% 0.20/0.42 tff(426,plain,
% 0.20/0.42 (~cplus8(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[102, 99, 425])).
% 0.20/0.42 tff(427,plain,
% 0.20/0.42 (cplus2(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[301, 426, 407])).
% 0.20/0.42 tff(428,plain,
% 0.20/0.42 (~cminus2(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[135, 132, 427])).
% 0.20/0.42 tff(429,plain,
% 0.20/0.42 (^[X: $i] : refl((cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X))) <=> (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(430,plain,
% 0.20/0.42 (![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X))) <=> ![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[429])).
% 0.20/0.42 tff(431,plain,
% 0.20/0.42 (![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X))) <=> ![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(432,plain,
% 0.20/0.42 (^[X: $i] : trans(monotonicity(rewrite(((cminus3(X) | cplus7(X)) | cplus8(X)) <=> (cminus3(X) | cplus8(X) | cplus7(X))), ((cTest(X) => ((cminus3(X) | cplus7(X)) | cplus8(X))) <=> (cTest(X) => (cminus3(X) | cplus8(X) | cplus7(X))))), rewrite((cTest(X) => (cminus3(X) | cplus8(X) | cplus7(X))) <=> (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))), ((cTest(X) => ((cminus3(X) | cplus7(X)) | cplus8(X))) <=> (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(433,plain,
% 0.20/0.42 (![X: $i] : (cTest(X) => ((cminus3(X) | cplus7(X)) | cplus8(X))) <=> ![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[432])).
% 0.20/0.42 tff(434,axiom,(![X: $i] : (cTest(X) => ((cminus3(X) | cplus7(X)) | cplus8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.20/0.42 tff(435,plain,
% 0.20/0.42 (![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[434, 433])).
% 0.20/0.42 tff(436,plain,
% 0.20/0.42 (![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[435, 431])).
% 0.20/0.42 tff(437,plain,(
% 0.20/0.42 ![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[436])).
% 0.20/0.42 tff(438,plain,
% 0.20/0.42 (![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[437, 430])).
% 0.20/0.42 tff(439,plain,
% 0.20/0.42 (((~![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476))) <=> ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(440,plain,
% 0.20/0.42 ((cminus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476))) <=> (cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(441,plain,
% 0.20/0.42 (((~![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | (cminus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | (cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476)))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[440])).
% 0.20/0.42 tff(442,plain,
% 0.20/0.42 (((~![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | (cminus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))) <=> ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476))),
% 0.20/0.42 inference(transitivity,[status(thm)],[441, 439])).
% 0.20/0.42 tff(443,plain,
% 0.20/0.42 ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | (cminus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(444,plain,
% 0.20/0.42 ((~![X: $i] : (cminus3(X) | cplus8(X) | cplus7(X) | (~cTest(X)))) | cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | (~cTest(i2003_11_14_17_20_46476)) | cminus3(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[443, 442])).
% 0.20/0.42 tff(445,plain,
% 0.20/0.42 (cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[444, 438, 5])).
% 0.20/0.42 tff(446,plain,
% 0.20/0.42 (cplus7(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[445, 426, 407])).
% 0.20/0.42 tff(447,plain,
% 0.20/0.42 (~cminus7(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[245, 242, 446])).
% 0.20/0.42 tff(448,plain,
% 0.20/0.42 (cminus4(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[319, 447, 407])).
% 0.20/0.42 tff(449,plain,
% 0.20/0.42 (~cplus4(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[86, 83, 448])).
% 0.20/0.42 tff(450,plain,
% 0.20/0.42 (cplus6(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[338, 428, 447])).
% 0.20/0.42 tff(451,plain,
% 0.20/0.42 (~cminus6(i2003_11_14_17_20_46476)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[352, 349, 450])).
% 0.20/0.42 tff(452,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[370, 451, 449, 428])).
% 0.20/0.42 % SZS output end Proof
% 0.20/0.43 % E exiting
%------------------------------------------------------------------------------