%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUN055+2 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 05:22:34 AM UTC 2025
% Result : Theorem 0.19s 0.54s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUN055+2 : TPTP v9.0.0. Released v7.3.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 02:10:11 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.54 % SZS status Theorem
% 0.19/0.54 % SZS output start Proof
% 0.19/0.54 tff(tptp_fun_Y22_2_type, type, (
% 0.19/0.54 tptp_fun_Y22_2: ( $i * $i ) > $i)).
% 0.19/0.54 tff(tptp_fun_Y23_3_type, type, (
% 0.19/0.54 tptp_fun_Y23_3: ( $i * $i ) > $i)).
% 0.19/0.54 tff(tptp_fun_Y24_0_type, type, (
% 0.19/0.54 tptp_fun_Y24_0: $i)).
% 0.19/0.54 tff(tptp_fun_Y17_12_type, type, (
% 0.19/0.54 tptp_fun_Y17_12: $i > $i)).
% 0.19/0.54 tff(tptp_fun_Y21_1_type, type, (
% 0.19/0.54 tptp_fun_Y21_1: $i > $i)).
% 0.19/0.54 tff(tptp_fun_Y7_6_type, type, (
% 0.19/0.54 tptp_fun_Y7_6: ( $i * $i ) > $i)).
% 0.19/0.54 tff(tptp_fun_Y15_5_type, type, (
% 0.19/0.54 tptp_fun_Y15_5: ( $i * $i ) > $i)).
% 0.19/0.54 tff(r3_type, type, (
% 0.19/0.54 r3: ( $i * $i * $i ) > $o)).
% 0.19/0.54 tff(r2_type, type, (
% 0.19/0.54 r2: ( $i * $i ) > $o)).
% 0.19/0.54 tff(tptp_fun_Y4_4_type, type, (
% 0.19/0.54 tptp_fun_Y4_4: ( $i * $i ) > $i)).
% 0.19/0.54 tff(tptp_fun_Y16_10_type, type, (
% 0.19/0.54 tptp_fun_Y16_10: $i > $i)).
% 0.19/0.54 tff(r1_type, type, (
% 0.19/0.54 r1: $i > $o)).
% 0.19/0.54 tff(tptp_fun_Y8_11_type, type, (
% 0.19/0.54 tptp_fun_Y8_11: $i > $i)).
% 0.19/0.54 tff(r4_type, type, (
% 0.19/0.54 r4: ( $i * $i * $i ) > $o)).
% 0.19/0.54 tff(1,plain,
% 0.19/0.54 (^[X1: $i, X8: $i] : rewrite((r2(X8, tptp_fun_Y15_5(X8, X1)) & r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1)) & r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1)) & r3(X1, X8, tptp_fun_Y7_6(X8, X1))) <=> (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1))))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(2,plain,
% 0.19/0.54 (![X1: $i, X8: $i] : (r2(X8, tptp_fun_Y15_5(X8, X1)) & r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1)) & r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1)) & r3(X1, X8, tptp_fun_Y7_6(X8, X1))) <=> ![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.54 tff(3,plain,
% 0.19/0.54 (^[X1: $i, X8: $i] : rewrite(((r2(X8, tptp_fun_Y15_5(X8, X1)) & r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) & (r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1)) & r3(X1, X8, tptp_fun_Y7_6(X8, X1)))) <=> (r2(X8, tptp_fun_Y15_5(X8, X1)) & r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1)) & r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1)) & r3(X1, X8, tptp_fun_Y7_6(X8, X1))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(4,plain,
% 0.19/0.54 (![X1: $i, X8: $i] : ((r2(X8, tptp_fun_Y15_5(X8, X1)) & r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) & (r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1)) & r3(X1, X8, tptp_fun_Y7_6(X8, X1)))) <=> ![X1: $i, X8: $i] : (r2(X8, tptp_fun_Y15_5(X8, X1)) & r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1)) & r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1)) & r3(X1, X8, tptp_fun_Y7_6(X8, X1)))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[3])).
% 0.19/0.54 tff(5,plain,
% 0.19/0.54 (![X1: $i, X8: $i] : ?[Y4: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7))) <=> ![X1: $i, X8: $i] : ?[Y4: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7)))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(6,plain,
% 0.19/0.54 (^[X1: $i, X8: $i] : quant_intro(proof_bind(^[Y4: $i] : rewrite((?[Y5: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y5)) & (Y5 = Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7))) <=> (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7))))), (?[Y4: $i] : (?[Y5: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y5)) & (Y5 = Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7))) <=> ?[Y4: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7)))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(7,plain,
% 0.19/0.54 (![X1: $i, X8: $i] : ?[Y4: $i] : (?[Y5: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y5)) & (Y5 = Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7))) <=> ![X1: $i, X8: $i] : ?[Y4: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7)))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[6])).
% 0.19/0.54 tff(8,axiom,(![X1: $i, X8: $i] : ?[Y4: $i] : (?[Y5: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y5)) & (Y5 = Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax','axiom_1a')).
% 0.19/0.54 tff(9,plain,
% 0.19/0.54 (![X1: $i, X8: $i] : ?[Y4: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.19/0.54 tff(10,plain,
% 0.19/0.54 (![X1: $i, X8: $i] : ?[Y4: $i] : (?[Y15: $i] : (r2(X8, Y15) & r3(X1, Y15, Y4)) & ?[Y7: $i] : (r2(Y7, Y4) & r3(X1, X8, Y7)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.19/0.54 tff(11,plain,(
% 0.19/0.54 ![X1: $i, X8: $i] : ((r2(X8, tptp_fun_Y15_5(X8, X1)) & r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) & (r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1)) & r3(X1, X8, tptp_fun_Y7_6(X8, X1))))),
% 0.19/0.54 inference(skolemize,[status(sab)],[10])).
% 0.19/0.54 tff(12,plain,
% 0.19/0.54 (![X1: $i, X8: $i] : (r2(X8, tptp_fun_Y15_5(X8, X1)) & r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1)) & r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1)) & r3(X1, X8, tptp_fun_Y7_6(X8, X1)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.19/0.54 tff(13,plain,
% 0.19/0.54 (![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.19/0.54 tff(14,plain,
% 0.19/0.54 (((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))) <=> ((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(15,plain,
% 0.19/0.55 ((~((~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) <=> (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(16,plain,
% 0.19/0.55 (((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))) <=> ((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[15])).
% 0.19/0.55 tff(17,plain,
% 0.19/0.55 (((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))) <=> ((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))),
% 0.19/0.55 inference(transitivity,[status(thm)],[16, 14])).
% 0.19/0.55 tff(18,plain,
% 0.19/0.55 ((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(19,plain,
% 0.19/0.55 ((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.19/0.55 tff(20,plain,
% 0.19/0.55 (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[19, 13])).
% 0.19/0.55 tff(21,plain,
% 0.19/0.55 (((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.55 inference(tautology,[status(thm)],[])).
% 0.19/0.55 tff(22,plain,
% 0.19/0.55 (r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.19/0.55 tff(23,plain,
% 0.19/0.55 ((r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.19/0.55 inference(tautology,[status(thm)],[])).
% 0.19/0.55 tff(24,plain,
% 0.19/0.55 (r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.19/0.55 tff(25,plain,
% 0.19/0.55 (^[X13: $i, X14: $i, X15: $i] : refl(((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13)))))) <=> ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13)))))))),
% 0.19/0.55 inference(bind,[status(th)],[])).
% 0.19/0.55 tff(26,plain,
% 0.19/0.55 (![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13)))))) <=> ![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))),
% 0.19/0.55 inference(quant_intro,[status(thm)],[25])).
% 0.19/0.55 tff(27,plain,
% 0.19/0.55 (^[X13: $i, X14: $i, X15: $i] : rewrite((((~r3(X13, X14, X15)) & (~(X15 = tptp_fun_Y22_2(X14, X13)))) | (r3(X13, X14, X15) & (X15 = tptp_fun_Y22_2(X14, X13)))) <=> ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13)))))))),
% 0.19/0.55 inference(bind,[status(th)],[])).
% 0.19/0.55 tff(28,plain,
% 0.19/0.55 (![X13: $i, X14: $i, X15: $i] : (((~r3(X13, X14, X15)) & (~(X15 = tptp_fun_Y22_2(X14, X13)))) | (r3(X13, X14, X15) & (X15 = tptp_fun_Y22_2(X14, X13)))) <=> ![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))),
% 0.19/0.55 inference(quant_intro,[status(thm)],[27])).
% 0.19/0.55 tff(29,plain,
% 0.19/0.55 (![X13: $i, X14: $i] : ![X15: $i] : (((~r3(X13, X14, X15)) & (~(X15 = tptp_fun_Y22_2(X14, X13)))) | (r3(X13, X14, X15) & (X15 = tptp_fun_Y22_2(X14, X13)))) <=> ![X13: $i, X14: $i, X15: $i] : (((~r3(X13, X14, X15)) & (~(X15 = tptp_fun_Y22_2(X14, X13)))) | (r3(X13, X14, X15) & (X15 = tptp_fun_Y22_2(X14, X13))))),
% 0.19/0.55 inference(pull_quant,[status(thm)],[])).
% 0.19/0.55 tff(30,plain,
% 0.19/0.55 (![X13: $i, X14: $i] : ?[Y22: $i] : ![X15: $i] : (((~r3(X13, X14, X15)) & (~(X15 = Y22))) | (r3(X13, X14, X15) & (X15 = Y22))) <=> ![X13: $i, X14: $i] : ?[Y22: $i] : ![X15: $i] : (((~r3(X13, X14, X15)) & (~(X15 = Y22))) | (r3(X13, X14, X15) & (X15 = Y22)))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(31,axiom,(![X13: $i, X14: $i] : ?[Y22: $i] : ![X15: $i] : (((~r3(X13, X14, X15)) & (~(X15 = Y22))) | (r3(X13, X14, X15) & (X15 = Y22)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax','axiom_3')).
% 0.19/0.55 tff(32,plain,
% 0.19/0.55 (![X13: $i, X14: $i] : ?[Y22: $i] : ![X15: $i] : (((~r3(X13, X14, X15)) & (~(X15 = Y22))) | (r3(X13, X14, X15) & (X15 = Y22)))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.55 tff(33,plain,(
% 0.19/0.55 ![X13: $i, X14: $i] : ![X15: $i] : (((~r3(X13, X14, X15)) & (~(X15 = tptp_fun_Y22_2(X14, X13)))) | (r3(X13, X14, X15) & (X15 = tptp_fun_Y22_2(X14, X13))))),
% 0.19/0.55 inference(skolemize,[status(sab)],[32])).
% 0.19/0.55 tff(34,plain,
% 0.19/0.55 (![X13: $i, X14: $i, X15: $i] : (((~r3(X13, X14, X15)) & (~(X15 = tptp_fun_Y22_2(X14, X13)))) | (r3(X13, X14, X15) & (X15 = tptp_fun_Y22_2(X14, X13))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.19/0.55 tff(35,plain,
% 0.19/0.55 (![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[34, 28])).
% 0.19/0.55 tff(36,plain,
% 0.19/0.55 (![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[35, 26])).
% 0.19/0.55 tff(37,plain,
% 0.19/0.55 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(38,plain,
% 0.19/0.55 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(39,plain,
% 0.19/0.55 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.19/0.56 tff(40,plain,
% 0.19/0.56 (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[39, 36, 24])).
% 0.19/0.56 tff(41,plain,
% 0.19/0.56 (((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(42,plain,
% 0.19/0.56 (tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[41, 40])).
% 0.19/0.56 tff(43,plain,
% 0.19/0.56 (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.56 inference(symmetry,[status(thm)],[42])).
% 0.19/0.56 tff(44,plain,
% 0.19/0.56 (^[X4: $i] : rewrite((r1(tptp_fun_Y16_10(X4)) & r3(X4, tptp_fun_Y16_10(X4), X4)) <=> (~((~r1(tptp_fun_Y16_10(X4))) | (~r3(X4, tptp_fun_Y16_10(X4), X4)))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(45,plain,
% 0.19/0.56 (![X4: $i] : (r1(tptp_fun_Y16_10(X4)) & r3(X4, tptp_fun_Y16_10(X4), X4)) <=> ![X4: $i] : (~((~r1(tptp_fun_Y16_10(X4))) | (~r3(X4, tptp_fun_Y16_10(X4), X4))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[44])).
% 0.19/0.56 tff(46,plain,
% 0.19/0.56 (![X4: $i] : ?[Y16: $i] : (r1(Y16) & r3(X4, Y16, X4)) <=> ![X4: $i] : ?[Y16: $i] : (r1(Y16) & r3(X4, Y16, X4))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(47,plain,
% 0.19/0.56 (^[X4: $i] : trans(der(?[Y9: $i] : (?[Y16: $i] : (r1(Y16) & r3(X4, Y16, Y9)) & (Y9 = X4)) <=> ?[Y9: $i] : ?[Y16: $i] : (r1(Y16) & r3(X4, Y16, X4))), elim_unused(?[Y9: $i] : ?[Y16: $i] : (r1(Y16) & r3(X4, Y16, X4)) <=> ?[Y16: $i] : (r1(Y16) & r3(X4, Y16, X4))), (?[Y9: $i] : (?[Y16: $i] : (r1(Y16) & r3(X4, Y16, Y9)) & (Y9 = X4)) <=> ?[Y16: $i] : (r1(Y16) & r3(X4, Y16, X4))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(48,plain,
% 0.19/0.56 (![X4: $i] : ?[Y9: $i] : (?[Y16: $i] : (r1(Y16) & r3(X4, Y16, Y9)) & (Y9 = X4)) <=> ![X4: $i] : ?[Y16: $i] : (r1(Y16) & r3(X4, Y16, X4))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[47])).
% 0.19/0.56 tff(49,axiom,(![X4: $i] : ?[Y9: $i] : (?[Y16: $i] : (r1(Y16) & r3(X4, Y16, Y9)) & (Y9 = X4))), file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax','axiom_4a')).
% 0.19/0.56 tff(50,plain,
% 0.19/0.56 (![X4: $i] : ?[Y16: $i] : (r1(Y16) & r3(X4, Y16, X4))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.19/0.56 tff(51,plain,
% 0.19/0.56 (![X4: $i] : ?[Y16: $i] : (r1(Y16) & r3(X4, Y16, X4))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.19/0.56 tff(52,plain,(
% 0.19/0.56 ![X4: $i] : (r1(tptp_fun_Y16_10(X4)) & r3(X4, tptp_fun_Y16_10(X4), X4))),
% 0.19/0.56 inference(skolemize,[status(sab)],[51])).
% 0.19/0.56 tff(53,plain,
% 0.19/0.56 (![X4: $i] : (~((~r1(tptp_fun_Y16_10(X4))) | (~r3(X4, tptp_fun_Y16_10(X4), X4))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.19/0.56 tff(54,plain,
% 0.19/0.56 ((~![X4: $i] : (~((~r1(tptp_fun_Y16_10(X4))) | (~r3(X4, tptp_fun_Y16_10(X4), X4))))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(55,plain,
% 0.19/0.56 (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[54, 53])).
% 0.19/0.56 tff(56,plain,
% 0.19/0.56 (((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(57,plain,
% 0.19/0.56 (r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.19/0.56 tff(58,plain,
% 0.19/0.56 ((r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0)) | (~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(59,plain,
% 0.19/0.56 (r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0)),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.19/0.56 tff(60,plain,
% 0.19/0.56 (^[X19: $i] : refl(((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0)))) <=> ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0)))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(61,plain,
% 0.19/0.56 (![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0)))) <=> ![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[60])).
% 0.19/0.56 tff(62,plain,
% 0.19/0.56 (^[X19: $i] : trans(monotonicity(rewrite((r1(X19) & (X19 = Y24!0)) <=> (~((~r1(X19)) | (~(X19 = Y24!0))))), rewrite(((~r1(X19)) & (~(X19 = Y24!0))) <=> (~(r1(X19) | (X19 = Y24!0)))), (((r1(X19) & (X19 = Y24!0)) | ((~r1(X19)) & (~(X19 = Y24!0)))) <=> ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0)))))), rewrite(((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0)))) <=> ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))), (((r1(X19) & (X19 = Y24!0)) | ((~r1(X19)) & (~(X19 = Y24!0)))) <=> ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(63,plain,
% 0.19/0.56 (![X19: $i] : ((r1(X19) & (X19 = Y24!0)) | ((~r1(X19)) & (~(X19 = Y24!0)))) <=> ![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[62])).
% 0.19/0.56 tff(64,plain,
% 0.19/0.56 (?[Y24: $i] : ![X19: $i] : ((r1(X19) & (X19 = Y24)) | ((~r1(X19)) & (~(X19 = Y24)))) <=> ?[Y24: $i] : ![X19: $i] : ((r1(X19) & (X19 = Y24)) | ((~r1(X19)) & (~(X19 = Y24))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(65,plain,
% 0.19/0.56 (^[Y24: $i] : quant_intro(proof_bind(^[X19: $i] : rewrite((((~r1(X19)) & (~(X19 = Y24))) | (r1(X19) & (X19 = Y24))) <=> ((r1(X19) & (X19 = Y24)) | ((~r1(X19)) & (~(X19 = Y24)))))), (![X19: $i] : (((~r1(X19)) & (~(X19 = Y24))) | (r1(X19) & (X19 = Y24))) <=> ![X19: $i] : ((r1(X19) & (X19 = Y24)) | ((~r1(X19)) & (~(X19 = Y24))))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(66,plain,
% 0.19/0.56 (?[Y24: $i] : ![X19: $i] : (((~r1(X19)) & (~(X19 = Y24))) | (r1(X19) & (X19 = Y24))) <=> ?[Y24: $i] : ![X19: $i] : ((r1(X19) & (X19 = Y24)) | ((~r1(X19)) & (~(X19 = Y24))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[65])).
% 0.19/0.56 tff(67,axiom,(?[Y24: $i] : ![X19: $i] : (((~r1(X19)) & (~(X19 = Y24))) | (r1(X19) & (X19 = Y24)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax','axiom_1')).
% 0.19/0.56 tff(68,plain,
% 0.19/0.56 (?[Y24: $i] : ![X19: $i] : ((r1(X19) & (X19 = Y24)) | ((~r1(X19)) & (~(X19 = Y24))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.19/0.56 tff(69,plain,
% 0.19/0.56 (?[Y24: $i] : ![X19: $i] : ((r1(X19) & (X19 = Y24)) | ((~r1(X19)) & (~(X19 = Y24))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[68, 64])).
% 0.19/0.56 tff(70,plain,(
% 0.19/0.56 $oeq(![X19: $i] : ((r1(X19) & (X19 = Y24!0)) | ((~r1(X19)) & (~(X19 = Y24!0)))), ![X19: $i] : ((r1(X19) & (X19 = Y24!0)) | ((~r1(X19)) & (~(X19 = Y24!0)))))),
% 0.19/0.56 inference(transitivity,[status(sab)],[69])).
% 0.19/0.56 tff(71,plain,
% 0.19/0.56 (![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[70, 63])).
% 0.19/0.56 tff(72,plain,
% 0.19/0.56 (![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[71, 61])).
% 0.19/0.56 tff(73,plain,
% 0.19/0.56 (((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0))))) <=> ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(74,plain,
% 0.19/0.56 ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(75,plain,
% 0.19/0.56 ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.19/0.56 tff(76,plain,
% 0.19/0.56 (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0)))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[75, 72, 59])).
% 0.19/0.56 tff(77,plain,
% 0.19/0.56 (((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0)),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(78,plain,
% 0.19/0.56 (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = Y24!0),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[77, 76])).
% 0.19/0.56 tff(79,plain,
% 0.19/0.56 (Y24!0 = tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.56 inference(symmetry,[status(thm)],[78])).
% 0.19/0.56 tff(80,plain,
% 0.19/0.56 (^[X5: $i] : rewrite((r1(tptp_fun_Y17_12(X5)) & r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5)) & r1(tptp_fun_Y8_11(X5))) <=> (~((~r1(tptp_fun_Y17_12(X5))) | (~r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5))) | (~r1(tptp_fun_Y8_11(X5))))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(81,plain,
% 0.19/0.56 (![X5: $i] : (r1(tptp_fun_Y17_12(X5)) & r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5)) & r1(tptp_fun_Y8_11(X5))) <=> ![X5: $i] : (~((~r1(tptp_fun_Y17_12(X5))) | (~r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5))) | (~r1(tptp_fun_Y8_11(X5)))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[80])).
% 0.19/0.56 tff(82,plain,
% 0.19/0.56 (^[X5: $i] : rewrite(((r1(tptp_fun_Y17_12(X5)) & r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5))) & r1(tptp_fun_Y8_11(X5))) <=> (r1(tptp_fun_Y17_12(X5)) & r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5)) & r1(tptp_fun_Y8_11(X5))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(83,plain,
% 0.19/0.56 (![X5: $i] : ((r1(tptp_fun_Y17_12(X5)) & r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5))) & r1(tptp_fun_Y8_11(X5))) <=> ![X5: $i] : (r1(tptp_fun_Y17_12(X5)) & r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5)) & r1(tptp_fun_Y8_11(X5)))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[82])).
% 0.19/0.56 tff(84,plain,
% 0.19/0.56 (![X5: $i] : ?[Y8: $i] : (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & r1(Y8)) <=> ![X5: $i] : ?[Y8: $i] : (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & r1(Y8))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(85,plain,
% 0.19/0.56 (^[X5: $i] : quant_intro(proof_bind(^[Y8: $i] : rewrite((?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & ?[Y18: $i] : (r1(Y18) & (Y8 = Y18))) <=> (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & r1(Y8)))), (?[Y8: $i] : (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & ?[Y18: $i] : (r1(Y18) & (Y8 = Y18))) <=> ?[Y8: $i] : (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & r1(Y8))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(86,plain,
% 0.19/0.56 (![X5: $i] : ?[Y8: $i] : (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & ?[Y18: $i] : (r1(Y18) & (Y8 = Y18))) <=> ![X5: $i] : ?[Y8: $i] : (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & r1(Y8))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[85])).
% 0.19/0.56 tff(87,axiom,(![X5: $i] : ?[Y8: $i] : (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & ?[Y18: $i] : (r1(Y18) & (Y8 = Y18)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax','axiom_5a')).
% 0.19/0.56 tff(88,plain,
% 0.19/0.56 (![X5: $i] : ?[Y8: $i] : (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & r1(Y8))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.19/0.56 tff(89,plain,
% 0.19/0.56 (![X5: $i] : ?[Y8: $i] : (?[Y17: $i] : (r1(Y17) & r4(X5, Y17, Y8)) & r1(Y8))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.19/0.56 tff(90,plain,(
% 0.19/0.56 ![X5: $i] : ((r1(tptp_fun_Y17_12(X5)) & r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5))) & r1(tptp_fun_Y8_11(X5)))),
% 0.19/0.56 inference(skolemize,[status(sab)],[89])).
% 0.19/0.56 tff(91,plain,
% 0.19/0.56 (![X5: $i] : (r1(tptp_fun_Y17_12(X5)) & r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5)) & r1(tptp_fun_Y8_11(X5)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[90, 83])).
% 0.19/0.56 tff(92,plain,
% 0.19/0.56 (![X5: $i] : (~((~r1(tptp_fun_Y17_12(X5))) | (~r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5))) | (~r1(tptp_fun_Y8_11(X5)))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[91, 81])).
% 0.19/0.56 tff(93,plain,
% 0.19/0.56 ((~![X5: $i] : (~((~r1(tptp_fun_Y17_12(X5))) | (~r4(X5, tptp_fun_Y17_12(X5), tptp_fun_Y8_11(X5))) | (~r1(tptp_fun_Y8_11(X5)))))) | (~((~r1(tptp_fun_Y17_12(Y24!0))) | (~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~r1(tptp_fun_Y8_11(Y24!0)))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(94,plain,
% 0.19/0.56 (~((~r1(tptp_fun_Y17_12(Y24!0))) | (~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~r1(tptp_fun_Y8_11(Y24!0))))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[93, 92])).
% 0.19/0.56 tff(95,plain,
% 0.19/0.56 (((~r1(tptp_fun_Y17_12(Y24!0))) | (~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~r1(tptp_fun_Y8_11(Y24!0)))) | r1(tptp_fun_Y8_11(Y24!0))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(96,plain,
% 0.19/0.56 (r1(tptp_fun_Y8_11(Y24!0))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[95, 94])).
% 0.19/0.56 tff(97,plain,
% 0.19/0.56 ((r1(tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = Y24!0)) | (~r1(tptp_fun_Y8_11(Y24!0)))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(98,plain,
% 0.19/0.56 (r1(tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = Y24!0)),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[97, 96])).
% 0.19/0.56 tff(99,plain,
% 0.19/0.56 (((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~((~r1(tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = Y24!0)))) | (~(r1(tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = Y24!0))))) <=> ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | (~((~r1(tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = Y24!0)))) | (~(r1(tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = Y24!0))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(100,plain,
% 0.19/0.56 ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~((~r1(tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = Y24!0)))) | (~(r1(tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = Y24!0))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(101,plain,
% 0.19/0.56 ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | (~((~r1(tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = Y24!0)))) | (~(r1(tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = Y24!0)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.19/0.56 tff(102,plain,
% 0.19/0.56 (~((~r1(tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = Y24!0)))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[101, 72, 98])).
% 0.19/0.56 tff(103,plain,
% 0.19/0.56 (((~r1(tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = Y24!0))) | (tptp_fun_Y8_11(Y24!0) = Y24!0)),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(104,plain,
% 0.19/0.56 (tptp_fun_Y8_11(Y24!0) = Y24!0),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[103, 102])).
% 0.19/0.56 tff(105,plain,
% 0.19/0.56 (((~r1(tptp_fun_Y17_12(Y24!0))) | (~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~r1(tptp_fun_Y8_11(Y24!0)))) | r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(106,plain,
% 0.19/0.56 (r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[105, 94])).
% 0.19/0.56 tff(107,plain,
% 0.19/0.56 ((r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0)))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(108,plain,
% 0.19/0.56 (r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.19/0.56 tff(109,plain,
% 0.19/0.56 (^[X16: $i, X17: $i, X18: $i] : refl(((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16))))) <=> ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16))))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(110,plain,
% 0.19/0.56 (![X16: $i, X17: $i, X18: $i] : ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16))))) <=> ![X16: $i, X17: $i, X18: $i] : ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[109])).
% 0.19/0.56 tff(111,plain,
% 0.19/0.56 (^[X16: $i, X17: $i, X18: $i] : trans(monotonicity(rewrite((r4(X16, X17, X18) & (X18 = tptp_fun_Y23_3(X17, X16))) <=> (~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16)))))), rewrite(((~r4(X16, X17, X18)) & (~(X18 = tptp_fun_Y23_3(X17, X16)))) <=> (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16))))), (((r4(X16, X17, X18) & (X18 = tptp_fun_Y23_3(X17, X16))) | ((~r4(X16, X17, X18)) & (~(X18 = tptp_fun_Y23_3(X17, X16))))) <=> ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16))))))), rewrite(((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16))))) <=> ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))), (((r4(X16, X17, X18) & (X18 = tptp_fun_Y23_3(X17, X16))) | ((~r4(X16, X17, X18)) & (~(X18 = tptp_fun_Y23_3(X17, X16))))) <=> ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(112,plain,
% 0.19/0.56 (![X16: $i, X17: $i, X18: $i] : ((r4(X16, X17, X18) & (X18 = tptp_fun_Y23_3(X17, X16))) | ((~r4(X16, X17, X18)) & (~(X18 = tptp_fun_Y23_3(X17, X16))))) <=> ![X16: $i, X17: $i, X18: $i] : ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[111])).
% 0.19/0.56 tff(113,plain,
% 0.19/0.56 (![X16: $i, X17: $i] : ![X18: $i] : ((r4(X16, X17, X18) & (X18 = tptp_fun_Y23_3(X17, X16))) | ((~r4(X16, X17, X18)) & (~(X18 = tptp_fun_Y23_3(X17, X16))))) <=> ![X16: $i, X17: $i, X18: $i] : ((r4(X16, X17, X18) & (X18 = tptp_fun_Y23_3(X17, X16))) | ((~r4(X16, X17, X18)) & (~(X18 = tptp_fun_Y23_3(X17, X16)))))),
% 0.19/0.56 inference(pull_quant,[status(thm)],[])).
% 0.19/0.56 tff(114,plain,
% 0.19/0.56 (![X16: $i, X17: $i] : ?[Y23: $i] : ![X18: $i] : ((r4(X16, X17, X18) & (X18 = Y23)) | ((~r4(X16, X17, X18)) & (~(X18 = Y23)))) <=> ![X16: $i, X17: $i] : ?[Y23: $i] : ![X18: $i] : ((r4(X16, X17, X18) & (X18 = Y23)) | ((~r4(X16, X17, X18)) & (~(X18 = Y23))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(115,plain,
% 0.19/0.56 (^[X16: $i, X17: $i] : quant_intro(proof_bind(^[Y23: $i] : quant_intro(proof_bind(^[X18: $i] : rewrite((((~r4(X16, X17, X18)) & (~(X18 = Y23))) | (r4(X16, X17, X18) & (X18 = Y23))) <=> ((r4(X16, X17, X18) & (X18 = Y23)) | ((~r4(X16, X17, X18)) & (~(X18 = Y23)))))), (![X18: $i] : (((~r4(X16, X17, X18)) & (~(X18 = Y23))) | (r4(X16, X17, X18) & (X18 = Y23))) <=> ![X18: $i] : ((r4(X16, X17, X18) & (X18 = Y23)) | ((~r4(X16, X17, X18)) & (~(X18 = Y23))))))), (?[Y23: $i] : ![X18: $i] : (((~r4(X16, X17, X18)) & (~(X18 = Y23))) | (r4(X16, X17, X18) & (X18 = Y23))) <=> ?[Y23: $i] : ![X18: $i] : ((r4(X16, X17, X18) & (X18 = Y23)) | ((~r4(X16, X17, X18)) & (~(X18 = Y23))))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(116,plain,
% 0.19/0.56 (![X16: $i, X17: $i] : ?[Y23: $i] : ![X18: $i] : (((~r4(X16, X17, X18)) & (~(X18 = Y23))) | (r4(X16, X17, X18) & (X18 = Y23))) <=> ![X16: $i, X17: $i] : ?[Y23: $i] : ![X18: $i] : ((r4(X16, X17, X18) & (X18 = Y23)) | ((~r4(X16, X17, X18)) & (~(X18 = Y23))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[115])).
% 0.19/0.56 tff(117,axiom,(![X16: $i, X17: $i] : ?[Y23: $i] : ![X18: $i] : (((~r4(X16, X17, X18)) & (~(X18 = Y23))) | (r4(X16, X17, X18) & (X18 = Y23)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax','axiom_4')).
% 0.19/0.56 tff(118,plain,
% 0.19/0.56 (![X16: $i, X17: $i] : ?[Y23: $i] : ![X18: $i] : ((r4(X16, X17, X18) & (X18 = Y23)) | ((~r4(X16, X17, X18)) & (~(X18 = Y23))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.19/0.56 tff(119,plain,
% 0.19/0.56 (![X16: $i, X17: $i] : ?[Y23: $i] : ![X18: $i] : ((r4(X16, X17, X18) & (X18 = Y23)) | ((~r4(X16, X17, X18)) & (~(X18 = Y23))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.19/0.56 tff(120,plain,(
% 0.19/0.56 ![X16: $i, X17: $i] : ![X18: $i] : ((r4(X16, X17, X18) & (X18 = tptp_fun_Y23_3(X17, X16))) | ((~r4(X16, X17, X18)) & (~(X18 = tptp_fun_Y23_3(X17, X16)))))),
% 0.19/0.56 inference(skolemize,[status(sab)],[119])).
% 0.19/0.56 tff(121,plain,
% 0.19/0.56 (![X16: $i, X17: $i, X18: $i] : ((r4(X16, X17, X18) & (X18 = tptp_fun_Y23_3(X17, X16))) | ((~r4(X16, X17, X18)) & (~(X18 = tptp_fun_Y23_3(X17, X16)))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[120, 113])).
% 0.19/0.56 tff(122,plain,
% 0.19/0.56 (![X16: $i, X17: $i, X18: $i] : ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[121, 112])).
% 0.19/0.56 tff(123,plain,
% 0.19/0.56 (![X16: $i, X17: $i, X18: $i] : ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[122, 110])).
% 0.19/0.56 tff(124,plain,
% 0.19/0.56 (((~![X16: $i, X17: $i, X18: $i] : ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))) | ((~((~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~(r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))) <=> ((~![X16: $i, X17: $i, X18: $i] : ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))) | (~((~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~(r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(125,plain,
% 0.19/0.56 ((~![X16: $i, X17: $i, X18: $i] : ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))) | ((~((~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~(r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(126,plain,
% 0.19/0.56 ((~![X16: $i, X17: $i, X18: $i] : ((~((~r4(X16, X17, X18)) | (~(X18 = tptp_fun_Y23_3(X17, X16))))) | (~(r4(X16, X17, X18) | (X18 = tptp_fun_Y23_3(X17, X16)))))) | (~((~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~(r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0)) | (tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.19/0.56 tff(127,plain,
% 0.19/0.56 (~((~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[126, 123, 108])).
% 0.19/0.56 tff(128,plain,
% 0.19/0.56 (((~r4(Y24!0, tptp_fun_Y17_12(Y24!0), tptp_fun_Y8_11(Y24!0))) | (~(tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(129,plain,
% 0.19/0.56 (tptp_fun_Y8_11(Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[128, 127])).
% 0.19/0.56 tff(130,plain,
% 0.19/0.56 (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y8_11(Y24!0)),
% 0.19/0.56 inference(symmetry,[status(thm)],[129])).
% 0.19/0.56 tff(131,plain,
% 0.19/0.56 (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.56 inference(transitivity,[status(thm)],[130, 104, 79])).
% 0.19/0.56 tff(132,plain,
% 0.19/0.56 (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[131])).
% 0.19/0.56 tff(133,plain,
% 0.19/0.56 (tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.56 inference(symmetry,[status(thm)],[132])).
% 0.19/0.56 tff(134,plain,
% 0.19/0.56 (((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.57 inference(tautology,[status(thm)],[])).
% 0.19/0.57 tff(135,plain,
% 0.19/0.57 (r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[134, 55])).
% 0.19/0.57 tff(136,plain,
% 0.19/0.57 ((r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.57 inference(tautology,[status(thm)],[])).
% 0.19/0.57 tff(137,plain,
% 0.19/0.57 (r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[136, 135])).
% 0.19/0.57 tff(138,plain,
% 0.19/0.57 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(139,plain,
% 0.19/0.57 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))),
% 0.19/0.57 inference(quant_inst,[status(thm)],[])).
% 0.19/0.57 tff(140,plain,
% 0.19/0.57 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.19/0.57 tff(141,plain,
% 0.19/0.57 (~((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[140, 36, 137])).
% 0.19/0.57 tff(142,plain,
% 0.19/0.57 (((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.57 inference(tautology,[status(thm)],[])).
% 0.19/0.57 tff(143,plain,
% 0.19/0.57 (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[142, 141])).
% 0.19/0.57 tff(144,plain,
% 0.19/0.57 ((~![X4: $i] : (~((~r1(tptp_fun_Y16_10(X4))) | (~r3(X4, tptp_fun_Y16_10(X4), X4))))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.19/0.57 inference(quant_inst,[status(thm)],[])).
% 0.19/0.57 tff(145,plain,
% 0.19/0.57 (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[144, 53])).
% 0.19/0.57 tff(146,plain,
% 0.19/0.57 (((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.57 inference(tautology,[status(thm)],[])).
% 0.19/0.57 tff(147,plain,
% 0.19/0.57 (r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[146, 145])).
% 0.19/0.57 tff(148,plain,
% 0.19/0.57 ((r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0)) | (~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.57 inference(tautology,[status(thm)],[])).
% 0.19/0.57 tff(149,plain,
% 0.19/0.57 (r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0)),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[148, 147])).
% 0.19/0.57 tff(150,plain,
% 0.19/0.57 (((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0))))) <=> ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0))))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(151,plain,
% 0.19/0.57 ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0))))),
% 0.19/0.57 inference(quant_inst,[status(thm)],[])).
% 0.19/0.57 tff(152,plain,
% 0.19/0.57 ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0)))),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.19/0.57 tff(153,plain,
% 0.19/0.57 (~((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0)))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[152, 72, 149])).
% 0.19/0.57 tff(154,plain,
% 0.19/0.57 (((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0)),
% 0.19/0.57 inference(tautology,[status(thm)],[])).
% 0.19/0.57 tff(155,plain,
% 0.19/0.57 (tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = Y24!0),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[154, 153])).
% 0.19/0.57 tff(156,plain,
% 0.19/0.57 (Y24!0 = tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.19/0.57 inference(symmetry,[status(thm)],[155])).
% 0.19/0.57 tff(157,plain,
% 0.19/0.57 (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.19/0.57 inference(transitivity,[status(thm)],[130, 104, 156])).
% 0.19/0.57 tff(158,plain,
% 0.19/0.57 (tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.19/0.57 inference(monotonicity,[status(thm)],[157])).
% 0.19/0.57 tff(159,plain,
% 0.19/0.57 (tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.19/0.57 inference(symmetry,[status(thm)],[158])).
% 0.19/0.57 tff(160,plain,
% 0.19/0.57 (((~r1(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.19/0.57 inference(tautology,[status(thm)],[])).
% 0.19/0.57 tff(161,plain,
% 0.19/0.57 (r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[160, 145])).
% 0.19/0.57 tff(162,plain,
% 0.19/0.57 ((r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) | (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.57 inference(tautology,[status(thm)],[])).
% 0.19/0.57 tff(163,plain,
% 0.19/0.57 (r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) | (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[162, 161])).
% 0.19/0.57 tff(164,plain,
% 0.19/0.57 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) | (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) | (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(165,plain,
% 0.19/0.57 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) | (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.19/0.57 inference(quant_inst,[status(thm)],[])).
% 0.19/0.57 tff(166,plain,
% 0.19/0.57 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) | (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.19/0.57 tff(167,plain,
% 0.19/0.57 (~((~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[166, 36, 163])).
% 0.19/0.57 tff(168,plain,
% 0.19/0.57 (((~r3(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(169,plain,
% 0.19/0.58 (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[168, 167])).
% 0.19/0.58 tff(170,plain,
% 0.19/0.58 ((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)))))),
% 0.19/0.58 inference(quant_inst,[status(thm)],[])).
% 0.19/0.58 tff(171,plain,
% 0.19/0.58 (~((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0))))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[170, 13])).
% 0.19/0.58 tff(172,plain,
% 0.19/0.58 (((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)))) | r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(173,plain,
% 0.19/0.58 (r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[172, 171])).
% 0.19/0.58 tff(174,plain,
% 0.19/0.58 ((r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(175,plain,
% 0.19/0.58 (r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[174, 173])).
% 0.19/0.58 tff(176,plain,
% 0.19/0.58 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~((~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~((~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))),
% 0.19/0.58 inference(rewrite,[status(thm)],[])).
% 0.19/0.58 tff(177,plain,
% 0.19/0.58 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~((~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))),
% 0.19/0.58 inference(quant_inst,[status(thm)],[])).
% 0.19/0.58 tff(178,plain,
% 0.19/0.58 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~((~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.19/0.58 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.19/0.58 tff(179,plain,
% 0.19/0.58 (~((~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[178, 36, 175])).
% 0.19/0.58 tff(180,plain,
% 0.19/0.58 (((~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(181,plain,
% 0.19/0.58 (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[180, 179])).
% 0.19/0.58 tff(182,plain,
% 0.19/0.58 (((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)))) | r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(183,plain,
% 0.19/0.58 (r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[182, 171])).
% 0.19/0.58 tff(184,plain,
% 0.19/0.58 ((r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0)))) | (~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(185,plain,
% 0.19/0.58 (r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0)))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[184, 183])).
% 0.19/0.58 tff(186,plain,
% 0.19/0.58 (^[X11: $i, X12: $i] : refl(((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11)))))) <=> ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11)))))))),
% 0.19/0.58 inference(bind,[status(th)],[])).
% 0.19/0.58 tff(187,plain,
% 0.19/0.58 (![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11)))))) <=> ![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))),
% 0.19/0.58 inference(quant_intro,[status(thm)],[186])).
% 0.19/0.58 tff(188,plain,
% 0.19/0.58 (^[X11: $i, X12: $i] : rewrite((((~r2(X11, X12)) & (~(X12 = tptp_fun_Y21_1(X11)))) | (r2(X11, X12) & (X12 = tptp_fun_Y21_1(X11)))) <=> ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11)))))))),
% 0.19/0.58 inference(bind,[status(th)],[])).
% 0.19/0.58 tff(189,plain,
% 0.19/0.58 (![X11: $i, X12: $i] : (((~r2(X11, X12)) & (~(X12 = tptp_fun_Y21_1(X11)))) | (r2(X11, X12) & (X12 = tptp_fun_Y21_1(X11)))) <=> ![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))),
% 0.19/0.58 inference(quant_intro,[status(thm)],[188])).
% 0.19/0.58 tff(190,plain,
% 0.19/0.58 (![X11: $i] : ![X12: $i] : (((~r2(X11, X12)) & (~(X12 = tptp_fun_Y21_1(X11)))) | (r2(X11, X12) & (X12 = tptp_fun_Y21_1(X11)))) <=> ![X11: $i, X12: $i] : (((~r2(X11, X12)) & (~(X12 = tptp_fun_Y21_1(X11)))) | (r2(X11, X12) & (X12 = tptp_fun_Y21_1(X11))))),
% 0.19/0.58 inference(pull_quant,[status(thm)],[])).
% 0.19/0.58 tff(191,plain,
% 0.19/0.58 (![X11: $i] : ?[Y21: $i] : ![X12: $i] : (((~r2(X11, X12)) & (~(X12 = Y21))) | (r2(X11, X12) & (X12 = Y21))) <=> ![X11: $i] : ?[Y21: $i] : ![X12: $i] : (((~r2(X11, X12)) & (~(X12 = Y21))) | (r2(X11, X12) & (X12 = Y21)))),
% 0.19/0.58 inference(rewrite,[status(thm)],[])).
% 0.19/0.58 tff(192,axiom,(![X11: $i] : ?[Y21: $i] : ![X12: $i] : (((~r2(X11, X12)) & (~(X12 = Y21))) | (r2(X11, X12) & (X12 = Y21)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax','axiom_2')).
% 0.19/0.58 tff(193,plain,
% 0.19/0.58 (![X11: $i] : ?[Y21: $i] : ![X12: $i] : (((~r2(X11, X12)) & (~(X12 = Y21))) | (r2(X11, X12) & (X12 = Y21)))),
% 0.19/0.58 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.19/0.58 tff(194,plain,(
% 0.19/0.58 ![X11: $i] : ![X12: $i] : (((~r2(X11, X12)) & (~(X12 = tptp_fun_Y21_1(X11)))) | (r2(X11, X12) & (X12 = tptp_fun_Y21_1(X11))))),
% 0.19/0.58 inference(skolemize,[status(sab)],[193])).
% 0.19/0.58 tff(195,plain,
% 0.19/0.58 (![X11: $i, X12: $i] : (((~r2(X11, X12)) & (~(X12 = tptp_fun_Y21_1(X11)))) | (r2(X11, X12) & (X12 = tptp_fun_Y21_1(X11))))),
% 0.19/0.58 inference(modus_ponens,[status(thm)],[194, 190])).
% 0.19/0.58 tff(196,plain,
% 0.19/0.58 (![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))),
% 0.19/0.58 inference(modus_ponens,[status(thm)],[195, 189])).
% 0.19/0.58 tff(197,plain,
% 0.19/0.58 (![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))),
% 0.19/0.58 inference(modus_ponens,[status(thm)],[196, 187])).
% 0.19/0.58 tff(198,plain,
% 0.19/0.58 (((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0))))) | (~((~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0)))))))) <=> ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~(r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0))))) | (~((~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0)))))))),
% 0.19/0.58 inference(rewrite,[status(thm)],[])).
% 0.19/0.58 tff(199,plain,
% 0.19/0.58 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0))))) | (~((~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0)))))))),
% 0.19/0.58 inference(quant_inst,[status(thm)],[])).
% 0.19/0.58 tff(200,plain,
% 0.19/0.58 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~(r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0))))) | (~((~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0))))))),
% 0.19/0.58 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.19/0.58 tff(201,plain,
% 0.19/0.58 (~((~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0)))))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[200, 197, 185])).
% 0.19/0.58 tff(202,plain,
% 0.19/0.58 (((~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~(tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0))))) | (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0)))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(203,plain,
% 0.19/0.58 (tptp_fun_Y4_4(Y24!0, Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[202, 201])).
% 0.19/0.58 tff(204,plain,
% 0.19/0.58 (tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0)) = tptp_fun_Y4_4(Y24!0, Y24!0)),
% 0.19/0.58 inference(symmetry,[status(thm)],[203])).
% 0.19/0.58 tff(205,plain,
% 0.19/0.58 (((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)))) | r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(206,plain,
% 0.19/0.58 (r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[205, 171])).
% 0.19/0.58 tff(207,plain,
% 0.19/0.58 ((r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)) | (tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0))) | (~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(208,plain,
% 0.19/0.58 (r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)) | (tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[207, 206])).
% 0.19/0.58 tff(209,plain,
% 0.19/0.58 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)) | (tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0)))) | (~((~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0))) | (~(tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)) | (tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0)))) | (~((~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0))) | (~(tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0))))))),
% 0.19/0.58 inference(rewrite,[status(thm)],[])).
% 0.19/0.58 tff(210,plain,
% 0.19/0.58 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)) | (tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0)))) | (~((~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0))) | (~(tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0))))))),
% 0.19/0.58 inference(quant_inst,[status(thm)],[])).
% 0.19/0.58 tff(211,plain,
% 0.19/0.58 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)) | (tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0)))) | (~((~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0))) | (~(tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0)))))),
% 0.19/0.58 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.19/0.58 tff(212,plain,
% 0.19/0.58 (~((~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0))) | (~(tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0))))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[211, 36, 208])).
% 0.19/0.58 tff(213,plain,
% 0.19/0.58 (((~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0))) | (~(tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0)))) | (tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(214,plain,
% 0.19/0.58 (tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y22_2(Y24!0, Y24!0)),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[213, 212])).
% 0.19/0.58 tff(215,plain,
% 0.19/0.58 (tptp_fun_Y22_2(Y24!0, Y24!0) = tptp_fun_Y7_6(Y24!0, Y24!0)),
% 0.19/0.58 inference(symmetry,[status(thm)],[214])).
% 0.19/0.58 tff(216,plain,
% 0.19/0.58 (Y24!0 = tptp_fun_Y8_11(Y24!0)),
% 0.19/0.58 inference(symmetry,[status(thm)],[104])).
% 0.19/0.58 tff(217,plain,
% 0.19/0.58 (Y24!0 = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)),
% 0.19/0.58 inference(transitivity,[status(thm)],[216, 129])).
% 0.19/0.58 tff(218,plain,
% 0.19/0.58 ((~![X4: $i] : (~((~r1(tptp_fun_Y16_10(X4))) | (~r3(X4, tptp_fun_Y16_10(X4), X4))))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))),
% 0.19/0.58 inference(quant_inst,[status(thm)],[])).
% 0.19/0.58 tff(219,plain,
% 0.19/0.58 (~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[218, 53])).
% 0.19/0.58 tff(220,plain,
% 0.19/0.58 (((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(221,plain,
% 0.19/0.58 (r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[220, 219])).
% 0.19/0.58 tff(222,plain,
% 0.19/0.58 ((r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)) | (~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(223,plain,
% 0.19/0.58 (r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[222, 221])).
% 0.19/0.58 tff(224,plain,
% 0.19/0.58 (((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))))) <=> ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))))),
% 0.19/0.58 inference(rewrite,[status(thm)],[])).
% 0.19/0.58 tff(225,plain,
% 0.19/0.58 (((~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))) <=> ((~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))))),
% 0.19/0.58 inference(rewrite,[status(thm)],[])).
% 0.19/0.58 tff(226,plain,
% 0.19/0.58 (((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))))) <=> ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))))))),
% 0.19/0.58 inference(monotonicity,[status(thm)],[225])).
% 0.19/0.58 tff(227,plain,
% 0.19/0.58 (((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))))) <=> ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))))),
% 0.19/0.58 inference(transitivity,[status(thm)],[226, 224])).
% 0.19/0.58 tff(228,plain,
% 0.19/0.58 ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | ((~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))))),
% 0.19/0.58 inference(quant_inst,[status(thm)],[])).
% 0.19/0.58 tff(229,plain,
% 0.19/0.58 ((~![X19: $i] : ((~((~r1(X19)) | (~(X19 = Y24!0)))) | (~(r1(X19) | (X19 = Y24!0))))) | (~(r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))) | (~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))))),
% 0.19/0.58 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.19/0.58 tff(230,plain,
% 0.19/0.58 (~((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[229, 72, 223])).
% 0.19/0.58 tff(231,plain,
% 0.19/0.58 (((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0))) | (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0)),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(232,plain,
% 0.19/0.58 (tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = Y24!0),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[231, 230])).
% 0.19/0.58 tff(233,plain,
% 0.19/0.58 (Y24!0 = tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.19/0.58 inference(symmetry,[status(thm)],[232])).
% 0.19/0.58 tff(234,plain,
% 0.19/0.58 (tptp_fun_Y22_2(Y24!0, Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.19/0.58 inference(monotonicity,[status(thm)],[233, 217])).
% 0.19/0.58 tff(235,plain,
% 0.19/0.58 (tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(Y24!0, Y24!0)),
% 0.19/0.58 inference(symmetry,[status(thm)],[234])).
% 0.19/0.58 tff(236,plain,
% 0.19/0.58 (((~r1(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(237,plain,
% 0.19/0.58 (r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[236, 219])).
% 0.19/0.58 tff(238,plain,
% 0.19/0.58 ((r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) | (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.19/0.58 inference(tautology,[status(thm)],[])).
% 0.19/0.58 tff(239,plain,
% 0.19/0.58 (r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) | (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.19/0.58 inference(unit_resolution,[status(thm)],[238, 237])).
% 0.19/0.59 tff(240,plain,
% 0.19/0.59 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) | (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) | (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.19/0.59 inference(rewrite,[status(thm)],[])).
% 0.19/0.59 tff(241,plain,
% 0.19/0.59 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) | (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.19/0.59 inference(quant_inst,[status(thm)],[])).
% 0.19/0.59 tff(242,plain,
% 0.19/0.59 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) | (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))),
% 0.19/0.59 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.19/0.59 tff(243,plain,
% 0.19/0.59 (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))),
% 0.19/0.59 inference(unit_resolution,[status(thm)],[242, 36, 239])).
% 0.19/0.59 tff(244,plain,
% 0.19/0.59 (((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.19/0.59 inference(tautology,[status(thm)],[])).
% 0.19/0.59 tff(245,plain,
% 0.19/0.59 (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.19/0.59 inference(unit_resolution,[status(thm)],[244, 243])).
% 0.19/0.59 tff(246,plain,
% 0.19/0.59 (Y24!0 = tptp_fun_Y7_6(Y24!0, Y24!0)),
% 0.19/0.59 inference(transitivity,[status(thm)],[216, 129, 245, 235, 215])).
% 0.19/0.59 tff(247,plain,
% 0.19/0.59 (tptp_fun_Y21_1(Y24!0) = tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0))),
% 0.19/0.59 inference(monotonicity,[status(thm)],[246])).
% 0.19/0.59 tff(248,plain,
% 0.19/0.59 (tptp_fun_Y21_1(Y24!0) = tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.19/0.59 inference(transitivity,[status(thm)],[247, 204, 181, 169, 159, 143, 133, 43])).
% 0.19/0.59 tff(249,plain,
% 0.19/0.59 (tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.19/0.59 inference(monotonicity,[status(thm)],[248])).
% 0.19/0.59 tff(250,plain,
% 0.19/0.59 (tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0))),
% 0.19/0.59 inference(symmetry,[status(thm)],[249])).
% 0.19/0.59 tff(251,plain,
% 0.19/0.59 (tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.19/0.59 inference(monotonicity,[status(thm)],[250])).
% 0.19/0.59 tff(252,plain,
% 0.19/0.59 (tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.19/0.59 inference(symmetry,[status(thm)],[251])).
% 0.19/0.59 tff(253,plain,
% 0.19/0.59 ((~![X1: $i, X8: $i] : (~((~r2(X8, tptp_fun_Y15_5(X8, X1))) | (~r3(X1, tptp_fun_Y15_5(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r2(tptp_fun_Y7_6(X8, X1), tptp_fun_Y4_4(X8, X1))) | (~r3(X1, X8, tptp_fun_Y7_6(X8, X1)))))) | (~((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))),
% 0.19/0.59 inference(quant_inst,[status(thm)],[])).
% 0.19/0.59 tff(254,plain,
% 0.19/0.59 (~((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))),
% 0.19/0.59 inference(unit_resolution,[status(thm)],[253, 13])).
% 0.19/0.59 tff(255,plain,
% 0.19/0.59 (((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.19/0.59 inference(tautology,[status(thm)],[])).
% 0.19/0.59 tff(256,plain,
% 0.19/0.59 (r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.19/0.59 inference(unit_resolution,[status(thm)],[255, 254])).
% 0.19/0.59 tff(257,plain,
% 0.19/0.59 (((tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.19/0.59 inference(tautology,[status(thm)],[])).
% 0.19/0.59 tff(258,plain,
% 0.19/0.59 ((tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.19/0.59 inference(unit_resolution,[status(thm)],[257, 256])).
% 0.19/0.59 tff(259,plain,
% 0.19/0.59 (((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~((tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~((tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.19/0.60 inference(rewrite,[status(thm)],[])).
% 0.19/0.60 tff(260,plain,
% 0.19/0.60 (((~(r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) <=> ((~((tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.19/0.60 inference(rewrite,[status(thm)],[])).
% 0.19/0.60 tff(261,plain,
% 0.19/0.60 (((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))) <=> ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~((tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))))),
% 0.44/0.60 inference(monotonicity,[status(thm)],[260])).
% 0.44/0.60 tff(262,plain,
% 0.44/0.60 (((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))) <=> ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~((tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.44/0.60 inference(transitivity,[status(thm)],[261, 259])).
% 0.44/0.60 tff(263,plain,
% 0.44/0.60 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.44/0.60 inference(quant_inst,[status(thm)],[])).
% 0.44/0.60 tff(264,plain,
% 0.44/0.60 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~((tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.44/0.61 tff(265,plain,
% 0.44/0.61 (~((~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[264, 197, 258])).
% 0.44/0.61 tff(266,plain,
% 0.44/0.61 (((~(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.44/0.61 inference(tautology,[status(thm)],[])).
% 0.44/0.61 tff(267,plain,
% 0.44/0.61 (tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[266, 265])).
% 0.44/0.61 tff(268,plain,
% 0.44/0.61 (tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.44/0.61 inference(symmetry,[status(thm)],[267])).
% 0.44/0.61 tff(269,plain,
% 0.44/0.61 (tptp_fun_Y21_1(tptp_fun_Y7_6(Y24!0, Y24!0)) = tptp_fun_Y21_1(Y24!0)),
% 0.44/0.61 inference(symmetry,[status(thm)],[247])).
% 0.44/0.61 tff(270,plain,
% 0.44/0.61 (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y4_4(Y24!0, Y24!0)),
% 0.44/0.61 inference(symmetry,[status(thm)],[181])).
% 0.44/0.61 tff(271,plain,
% 0.44/0.61 (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y21_1(Y24!0)),
% 0.44/0.61 inference(transitivity,[status(thm)],[270, 203, 269])).
% 0.44/0.61 tff(272,plain,
% 0.44/0.61 (tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0))),
% 0.44/0.61 inference(monotonicity,[status(thm)],[271])).
% 0.44/0.61 tff(273,plain,
% 0.44/0.61 (tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.44/0.61 inference(symmetry,[status(thm)],[272])).
% 0.44/0.61 tff(274,plain,
% 0.44/0.61 (tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0)) = tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.44/0.61 inference(transitivity,[status(thm)],[273, 268])).
% 0.44/0.61 tff(275,plain,
% 0.44/0.61 (tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.44/0.61 inference(monotonicity,[status(thm)],[274])).
% 0.44/0.61 tff(276,plain,
% 0.44/0.61 (tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.44/0.61 inference(symmetry,[status(thm)],[275])).
% 0.44/0.61 tff(277,plain,
% 0.44/0.61 (((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.44/0.61 inference(tautology,[status(thm)],[])).
% 0.44/0.61 tff(278,plain,
% 0.44/0.61 (r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[277, 254])).
% 0.44/0.61 tff(279,plain,
% 0.44/0.61 (((tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.44/0.61 inference(tautology,[status(thm)],[])).
% 0.44/0.61 tff(280,plain,
% 0.44/0.61 ((tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[279, 278])).
% 0.44/0.61 tff(281,plain,
% 0.44/0.61 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~((tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~((tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(282,plain,
% 0.44/0.61 (((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))) <=> ((~((tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(283,plain,
% 0.44/0.61 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~((tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))))),
% 0.44/0.62 inference(monotonicity,[status(thm)],[282])).
% 0.44/0.62 tff(284,plain,
% 0.44/0.62 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~((tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.44/0.62 inference(transitivity,[status(thm)],[283, 281])).
% 0.44/0.62 tff(285,plain,
% 0.44/0.62 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.44/0.62 inference(quant_inst,[status(thm)],[])).
% 0.44/0.62 tff(286,plain,
% 0.44/0.62 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~((tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))),
% 0.44/0.62 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.44/0.62 tff(287,plain,
% 0.44/0.62 (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))),
% 0.44/0.62 inference(unit_resolution,[status(thm)],[286, 36, 280])).
% 0.44/0.62 tff(288,plain,
% 0.44/0.62 (((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.44/0.62 inference(tautology,[status(thm)],[])).
% 0.44/0.62 tff(289,plain,
% 0.44/0.62 (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.44/0.62 inference(unit_resolution,[status(thm)],[288, 287])).
% 0.44/0.62 tff(290,plain,
% 0.44/0.62 (((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.44/0.62 inference(tautology,[status(thm)],[])).
% 0.44/0.62 tff(291,plain,
% 0.44/0.62 (r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.44/0.62 inference(unit_resolution,[status(thm)],[290, 254])).
% 0.44/0.62 tff(292,plain,
% 0.44/0.62 ((r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.44/0.62 inference(tautology,[status(thm)],[])).
% 0.44/0.62 tff(293,plain,
% 0.44/0.62 (r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.44/0.62 inference(unit_resolution,[status(thm)],[292, 291])).
% 0.44/0.62 tff(294,plain,
% 0.44/0.62 (((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))) | (~((~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))))) <=> ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~(r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))) | (~((~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))))),
% 0.44/0.62 inference(rewrite,[status(thm)],[])).
% 0.44/0.62 tff(295,plain,
% 0.44/0.62 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))) | (~((~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))))),
% 0.44/0.62 inference(quant_inst,[status(thm)],[])).
% 0.44/0.62 tff(296,plain,
% 0.44/0.62 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~(r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))) | (~((~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[295, 294])).
% 0.46/0.63 tff(297,plain,
% 0.46/0.63 (~((~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[296, 197, 293])).
% 0.46/0.63 tff(298,plain,
% 0.46/0.63 (((~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))) | (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(299,plain,
% 0.46/0.63 (tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[298, 297])).
% 0.46/0.63 tff(300,plain,
% 0.46/0.63 (tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) = tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.46/0.63 inference(symmetry,[status(thm)],[299])).
% 0.46/0.63 tff(301,plain,
% 0.46/0.63 (tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0) = Y24!0),
% 0.46/0.63 inference(transitivity,[status(thm)],[130, 104])).
% 0.46/0.63 tff(302,plain,
% 0.46/0.63 (((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~r3(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0))) | (~r3(Y24!0, Y24!0, tptp_fun_Y7_6(Y24!0, Y24!0)))) | r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(303,plain,
% 0.46/0.63 (r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[302, 171])).
% 0.46/0.63 tff(304,plain,
% 0.46/0.63 ((r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0)) | (tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0))) | (~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0)))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(305,plain,
% 0.46/0.63 (r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0)) | (tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[304, 303])).
% 0.46/0.63 tff(306,plain,
% 0.46/0.63 (((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0)) | (tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0)))) | (~((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~(tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0))))))) <=> ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~(r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0)) | (tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0)))) | (~((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~(tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0))))))),
% 0.46/0.63 inference(rewrite,[status(thm)],[])).
% 0.46/0.63 tff(307,plain,
% 0.46/0.63 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0)) | (tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0)))) | (~((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~(tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0))))))),
% 0.46/0.63 inference(quant_inst,[status(thm)],[])).
% 0.46/0.63 tff(308,plain,
% 0.46/0.63 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~(r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0)) | (tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0)))) | (~((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~(tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0)))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.46/0.63 tff(309,plain,
% 0.46/0.63 (~((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~(tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0))))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[308, 197, 305])).
% 0.46/0.63 tff(310,plain,
% 0.46/0.63 (((~r2(Y24!0, tptp_fun_Y15_5(Y24!0, Y24!0))) | (~(tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0)))) | (tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(311,plain,
% 0.46/0.63 (tptp_fun_Y15_5(Y24!0, Y24!0) = tptp_fun_Y21_1(Y24!0)),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[310, 309])).
% 0.46/0.63 tff(312,plain,
% 0.46/0.63 (tptp_fun_Y21_1(Y24!0) = tptp_fun_Y15_5(Y24!0, Y24!0)),
% 0.46/0.63 inference(symmetry,[status(thm)],[311])).
% 0.46/0.63 tff(313,plain,
% 0.46/0.63 (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y15_5(Y24!0, Y24!0)),
% 0.46/0.63 inference(transitivity,[status(thm)],[270, 203, 269, 312])).
% 0.46/0.63 tff(314,plain,
% 0.46/0.63 (tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)),
% 0.46/0.63 inference(monotonicity,[status(thm)],[313, 301])).
% 0.46/0.63 tff(315,plain,
% 0.46/0.63 (((~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y4_4(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(316,plain,
% 0.46/0.63 (r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[315, 254])).
% 0.46/0.63 tff(317,plain,
% 0.46/0.63 (((tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(318,plain,
% 0.46/0.63 ((tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[317, 316])).
% 0.46/0.63 tff(319,plain,
% 0.46/0.63 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~((tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~((tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.46/0.63 inference(rewrite,[status(thm)],[])).
% 0.46/0.63 tff(320,plain,
% 0.46/0.63 (((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))) <=> ((~((tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.46/0.64 inference(rewrite,[status(thm)],[])).
% 0.46/0.64 tff(321,plain,
% 0.46/0.64 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~((tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))))),
% 0.46/0.64 inference(monotonicity,[status(thm)],[320])).
% 0.46/0.64 tff(322,plain,
% 0.46/0.64 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~((tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.46/0.64 inference(transitivity,[status(thm)],[321, 319])).
% 0.46/0.64 tff(323,plain,
% 0.46/0.64 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.46/0.64 inference(quant_inst,[status(thm)],[])).
% 0.46/0.64 tff(324,plain,
% 0.46/0.64 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~((tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))),
% 0.46/0.64 inference(modus_ponens,[status(thm)],[323, 322])).
% 0.46/0.64 tff(325,plain,
% 0.46/0.64 (~((~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[324, 36, 318])).
% 0.46/0.64 tff(326,plain,
% 0.46/0.64 (((~(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.46/0.64 inference(tautology,[status(thm)],[])).
% 0.46/0.64 tff(327,plain,
% 0.46/0.64 (tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y22_2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[326, 325])).
% 0.46/0.64 tff(328,plain,
% 0.46/0.64 (tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y21_1(Y24!0)),
% 0.46/0.64 inference(transitivity,[status(thm)],[327, 314, 270, 203, 269])).
% 0.46/0.64 tff(329,plain,
% 0.46/0.64 (tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0))),
% 0.46/0.64 inference(monotonicity,[status(thm)],[328])).
% 0.46/0.64 tff(330,plain,
% 0.46/0.64 (tptp_fun_Y21_1(tptp_fun_Y21_1(Y24!0)) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.46/0.64 inference(symmetry,[status(thm)],[329])).
% 0.46/0.64 tff(331,plain,
% 0.46/0.64 (tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.46/0.64 inference(transitivity,[status(thm)],[250, 330, 300, 289, 276, 252])).
% 0.46/0.64 tff(332,plain,
% 0.46/0.64 (((~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r3(tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y15_5(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.46/0.64 inference(tautology,[status(thm)],[])).
% 0.46/0.64 tff(333,plain,
% 0.46/0.64 (r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[332, 20])).
% 0.46/0.64 tff(334,plain,
% 0.46/0.64 ((r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.46/0.64 inference(tautology,[status(thm)],[])).
% 0.46/0.64 tff(335,plain,
% 0.46/0.64 (r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.46/0.64 inference(unit_resolution,[status(thm)],[334, 333])).
% 0.46/0.64 tff(336,plain,
% 0.46/0.64 (((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))))) <=> ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~(r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))))),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(337,plain,
% 0.46/0.65 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | ((~(r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(338,plain,
% 0.46/0.65 ((~![X11: $i, X12: $i] : ((~(r2(X11, X12) | (X12 = tptp_fun_Y21_1(X11)))) | (~((~r2(X11, X12)) | (~(X12 = tptp_fun_Y21_1(X11))))))) | (~(r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) | (tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.46/0.65 tff(339,plain,
% 0.46/0.65 (~((~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[338, 197, 335])).
% 0.46/0.65 tff(340,plain,
% 0.46/0.65 (((~r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (~(tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.46/0.65 inference(tautology,[status(thm)],[])).
% 0.46/0.65 tff(341,plain,
% 0.46/0.65 (tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) = tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[340, 339])).
% 0.46/0.65 tff(342,plain,
% 0.46/0.65 (tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.46/0.65 inference(symmetry,[status(thm)],[341])).
% 0.46/0.65 tff(343,plain,
% 0.46/0.65 (tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0) = tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))),
% 0.46/0.65 inference(transitivity,[status(thm)],[169, 159, 143, 133, 43])).
% 0.46/0.65 tff(344,plain,
% 0.46/0.65 (r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) <=> r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[343, 342])).
% 0.46/0.65 tff(345,plain,
% 0.46/0.65 (r2(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))), tptp_fun_Y4_4(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) <=> r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.46/0.65 inference(symmetry,[status(thm)],[344])).
% 0.46/0.65 tff(346,plain,
% 0.46/0.65 (r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[333, 345])).
% 0.46/0.65 tff(347,plain,
% 0.46/0.65 (tptp_fun_Y22_2(tptp_fun_Y16_10(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)),
% 0.46/0.65 inference(symmetry,[status(thm)],[245])).
% 0.46/0.65 tff(348,plain,
% 0.46/0.65 (tptp_fun_Y7_6(Y24!0, Y24!0) = tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)),
% 0.46/0.65 inference(transitivity,[status(thm)],[214, 234, 347])).
% 0.46/0.65 tff(349,plain,
% 0.46/0.65 (r2(tptp_fun_Y7_6(Y24!0, Y24!0), tptp_fun_Y4_4(Y24!0, Y24!0)) <=> r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[348, 181])).
% 0.46/0.65 tff(350,plain,
% 0.46/0.65 (r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[183, 349])).
% 0.46/0.65 tff(351,plain,
% 0.46/0.65 (r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)) <=> r1(tptp_fun_Y8_11(Y24!0))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[130])).
% 0.46/0.65 tff(352,plain,
% 0.46/0.65 (r1(tptp_fun_Y8_11(Y24!0)) <=> r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.46/0.65 inference(symmetry,[status(thm)],[351])).
% 0.46/0.65 tff(353,plain,
% 0.46/0.65 (r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[96, 352])).
% 0.46/0.65 tff(354,plain,
% 0.46/0.65 (^[Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) <=> ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r2(Y4, Y2)))), ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) <=> (((~r1(Y6)) | (~r2(Y6, Y4)) | (~r2(Y4, Y2))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))))), rewrite((((~r1(Y6)) | (~r2(Y6, Y4)) | (~r2(Y4, Y2))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) <=> ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y4, Y2)) | (~r1(Y7)))), ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) <=> ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y4, Y2)) | (~r1(Y7))))), rewrite(((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))) <=> ((~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)))), (((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> (((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y4, Y2)) | (~r1(Y7))) | ((~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)))))), rewrite((((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y4, Y2)) | (~r1(Y7))) | ((~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)))) <=> ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))), (((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(355,plain,
% 0.46/0.65 (![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))),
% 0.46/0.65 inference(quant_intro,[status(thm)],[354])).
% 0.46/0.65 tff(356,plain,
% 0.46/0.65 (^[Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : refl(((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(357,plain,
% 0.46/0.65 (![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.65 inference(quant_intro,[status(thm)],[356])).
% 0.46/0.65 tff(358,plain,
% 0.46/0.65 (![Y1: $i] : ![Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.65 inference(pull_quant,[status(thm)],[])).
% 0.46/0.65 tff(359,plain,
% 0.46/0.65 (^[Y1: $i] : trans(monotonicity(trans(quant_intro(proof_bind(^[Y5: $i] : pull_quant(((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5)))) <=> ![Y8: $i] : ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))), (![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5)))) <=> ![Y5: $i] : ![Y8: $i] : ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))), pull_quant(![Y5: $i] : ![Y8: $i] : ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))) <=> ![Y5: $i, Y8: $i] : ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))), (![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5)))) <=> ![Y5: $i, Y8: $i] : ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))), ((![Y2: $i, Y7: $i, Y4: $i, Y6: $i] : (((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> (![Y2: $i, Y7: $i, Y4: $i, Y6: $i] : (((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i, Y8: $i] : ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))))), pull_quant((![Y2: $i, Y7: $i, Y4: $i, Y6: $i] : (((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i, Y8: $i] : ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))), ((![Y2: $i, Y7: $i, Y4: $i, Y6: $i] : (((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))))),
% 0.46/0.66 inference(bind,[status(th)],[])).
% 0.46/0.66 tff(360,plain,
% 0.46/0.66 (![Y1: $i] : (![Y2: $i, Y7: $i, Y4: $i, Y6: $i] : (((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y1: $i] : ![Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.66 inference(quant_intro,[status(thm)],[359])).
% 0.46/0.66 tff(361,plain,
% 0.46/0.66 (![Y1: $i] : (![Y2: $i, Y7: $i, Y4: $i, Y6: $i] : (((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.66 inference(transitivity,[status(thm)],[360, 358])).
% 0.46/0.66 tff(362,plain,
% 0.46/0.66 (![Y1: $i] : (![Y2: $i, Y7: $i, Y4: $i, Y6: $i] : (((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.66 inference(transitivity,[status(thm)],[361, 357])).
% 0.46/0.66 tff(363,plain,
% 0.46/0.66 (^[Y1: $i] : rewrite((![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)))) | ![Y7: $i] : ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> (![Y2: $i, Y7: $i, Y4: $i, Y6: $i] : (((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))))),
% 0.46/0.66 inference(bind,[status(th)],[])).
% 0.46/0.66 tff(364,plain,
% 0.46/0.66 (![Y1: $i] : (![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)))) | ![Y7: $i] : ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y1: $i] : (![Y2: $i, Y7: $i, Y4: $i, Y6: $i] : (((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.66 inference(quant_intro,[status(thm)],[363])).
% 0.46/0.66 tff(365,plain,
% 0.46/0.66 (![Y1: $i] : (![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)))) | ![Y7: $i] : ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))) <=> ![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.66 inference(transitivity,[status(thm)],[364, 362])).
% 0.46/0.66 tff(366,plain,
% 0.46/0.66 (^[Y1: $i] : rewrite((![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : (~(r1(Y6) & r2(Y6, Y4)))) | ![Y7: $i] : (~(r1(Y7) & r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : (~(r1(Y8) & r2(Y8, Y5))))) <=> (![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)))) | ![Y7: $i] : ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5))))))),
% 0.46/0.66 inference(bind,[status(th)],[])).
% 0.46/0.66 tff(367,plain,
% 0.46/0.66 (![Y1: $i] : (![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : (~(r1(Y6) & r2(Y6, Y4)))) | ![Y7: $i] : (~(r1(Y7) & r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : (~(r1(Y8) & r2(Y8, Y5))))) <=> ![Y1: $i] : (![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)))) | ![Y7: $i] : ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.66 inference(quant_intro,[status(thm)],[366])).
% 0.46/0.66 tff(368,plain,
% 0.46/0.66 ((~?[Y1: $i] : (?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y5: $i] : (r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5))))) <=> (~?[Y1: $i] : (?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y5: $i] : (r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5)))))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(369,plain,
% 0.46/0.66 ((~?[Y1: $i] : (?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y3: $i] : ((Y1 = Y3) & ?[Y5: $i] : (r2(Y5, Y3) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5)))))) <=> (~?[Y1: $i] : (?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y5: $i] : (r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5)))))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(370,axiom,(~?[Y1: $i] : (?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y3: $i] : ((Y1 = Y3) & ?[Y5: $i] : (r2(Y5, Y3) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','zeroplustwoeqtwo')).
% 0.46/0.66 tff(371,plain,
% 0.46/0.66 (~?[Y1: $i] : (?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y5: $i] : (r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5))))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[370, 369])).
% 0.46/0.66 tff(372,plain,
% 0.46/0.66 (~?[Y1: $i] : (?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y5: $i] : (r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5))))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[371, 368])).
% 0.46/0.66 tff(373,plain,
% 0.46/0.66 (~?[Y1: $i] : (?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y5: $i] : (r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5))))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[372, 368])).
% 0.46/0.66 tff(374,plain,
% 0.46/0.66 (~?[Y1: $i] : (?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y5: $i] : (r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5))))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[373, 368])).
% 0.46/0.66 tff(375,plain,
% 0.46/0.66 (^[Y1: $i] : nnf_neg(nnf_neg(proof_bind(^[Y2: $i] : nnf_neg(nnf_neg(proof_bind(^[Y4: $i] : nnf_neg(refl($oeq((~r2(Y4, Y2)), (~r2(Y4, Y2)))), nnf_neg(proof_bind(^[Y6: $i] : refl($oeq((~(r1(Y6) & r2(Y6, Y4))), (~(r1(Y6) & r2(Y6, Y4)))))), $oeq((~?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))), ![Y6: $i] : (~(r1(Y6) & r2(Y6, Y4))))), $oeq((~(r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4)))), ((~r2(Y4, Y2)) | ![Y6: $i] : (~(r1(Y6) & r2(Y6, Y4))))))), $oeq((~?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4)))), ![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : (~(r1(Y6) & r2(Y6, Y4)))))), nnf_neg(proof_bind(^[Y7: $i] : refl($oeq((~(r1(Y7) & r3(Y7, Y2, Y1))), (~(r1(Y7) & r3(Y7, Y2, Y1)))))), $oeq((~?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))), ![Y7: $i] : (~(r1(Y7) & r3(Y7, Y2, Y1))))), $oeq((~(?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1)))), (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : (~(r1(Y6) & r2(Y6, Y4)))) | ![Y7: $i] : (~(r1(Y7) & r3(Y7, Y2, Y1))))))), $oeq((~?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1)))), ![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : (~(r1(Y6) & r2(Y6, Y4)))) | ![Y7: $i] : (~(r1(Y7) & r3(Y7, Y2, Y1)))))), nnf_neg(proof_bind(^[Y5: $i] : nnf_neg(refl($oeq((~r2(Y5, Y1)), (~r2(Y5, Y1)))), nnf_neg(proof_bind(^[Y8: $i] : refl($oeq((~(r1(Y8) & r2(Y8, Y5))), (~(r1(Y8) & r2(Y8, Y5)))))), $oeq((~?[Y8: $i] : (r1(Y8) & r2(Y8, Y5))), ![Y8: $i] : (~(r1(Y8) & r2(Y8, Y5))))), $oeq((~(r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5)))), ((~r2(Y5, Y1)) | ![Y8: $i] : (~(r1(Y8) & r2(Y8, Y5))))))), $oeq((~?[Y5: $i] : (r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5)))), ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : (~(r1(Y8) & r2(Y8, Y5)))))), $oeq((~(?[Y2: $i] : (?[Y4: $i] : (r2(Y4, Y2) & ?[Y6: $i] : (r1(Y6) & r2(Y6, Y4))) & ?[Y7: $i] : (r1(Y7) & r3(Y7, Y2, Y1))) & ?[Y5: $i] : (r2(Y5, Y1) & ?[Y8: $i] : (r1(Y8) & r2(Y8, Y5))))), (![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : (~(r1(Y6) & r2(Y6, Y4)))) | ![Y7: $i] : (~(r1(Y7) & r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : (~(r1(Y8) & r2(Y8, Y5)))))))),
% 0.46/0.66 inference(bind,[status(th)],[])).
% 0.46/0.66 tff(376,plain,(
% 0.46/0.66 ![Y1: $i] : (![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : (~(r1(Y6) & r2(Y6, Y4)))) | ![Y7: $i] : (~(r1(Y7) & r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : (~(r1(Y8) & r2(Y8, Y5)))))),
% 0.46/0.66 inference(nnf-neg,[status(sab)],[374, 375])).
% 0.46/0.66 tff(377,plain,
% 0.46/0.66 (![Y1: $i] : (![Y2: $i] : (![Y4: $i] : ((~r2(Y4, Y2)) | ![Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)))) | ![Y7: $i] : ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ![Y5: $i] : ((~r2(Y5, Y1)) | ![Y8: $i] : ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[376, 367])).
% 0.46/0.66 tff(378,plain,
% 0.46/0.66 (![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((((~r2(Y4, Y2)) | ((~r1(Y6)) | (~r2(Y6, Y4)))) | ((~r1(Y7)) | (~r3(Y7, Y2, Y1)))) | ((~r2(Y5, Y1)) | ((~r1(Y8)) | (~r2(Y8, Y5)))))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[377, 365])).
% 0.46/0.66 tff(379,plain,
% 0.46/0.66 (![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[378, 355])).
% 0.46/0.66 tff(380,plain,
% 0.46/0.66 (((~![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))) | ((~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))) <=> ((~![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.46/0.67 inference(rewrite,[status(thm)],[])).
% 0.46/0.67 tff(381,plain,
% 0.46/0.67 (((~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))) <=> ((~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.46/0.67 inference(rewrite,[status(thm)],[])).
% 0.46/0.67 tff(382,plain,
% 0.46/0.67 (((~![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))) | ((~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) <=> ((~![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))) | ((~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))))),
% 0.46/0.67 inference(monotonicity,[status(thm)],[381])).
% 0.46/0.67 tff(383,plain,
% 0.46/0.67 (((~![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))) | ((~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) <=> ((~![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))))),
% 0.46/0.67 inference(transitivity,[status(thm)],[382, 380])).
% 0.46/0.67 tff(384,plain,
% 0.46/0.67 ((~![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))) | ((~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.46/0.67 inference(quant_inst,[status(thm)],[])).
% 0.46/0.67 tff(385,plain,
% 0.46/0.67 ((~![Y1: $i, Y5: $i, Y8: $i, Y2: $i, Y7: $i, Y4: $i, Y6: $i] : ((~r1(Y6)) | (~r2(Y6, Y4)) | (~r3(Y7, Y2, Y1)) | (~r2(Y5, Y1)) | (~r1(Y8)) | (~r2(Y8, Y5)) | (~r2(Y4, Y2)) | (~r1(Y7)))) | (~r1(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | (~r2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))) | (~r2(tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))),
% 0.46/0.67 inference(modus_ponens,[status(thm)],[384, 383])).
% 0.46/0.67 tff(386,plain,
% 0.46/0.67 (~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.46/0.67 inference(unit_resolution,[status(thm)],[385, 379, 353, 350, 346])).
% 0.46/0.67 tff(387,plain,
% 0.46/0.67 (((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))),
% 0.46/0.67 inference(tautology,[status(thm)],[])).
% 0.46/0.67 tff(388,plain,
% 0.46/0.67 ((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.46/0.67 inference(unit_resolution,[status(thm)],[387, 386])).
% 0.46/0.67 tff(389,plain,
% 0.46/0.67 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~((tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~((tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.46/0.68 inference(rewrite,[status(thm)],[])).
% 0.46/0.68 tff(390,plain,
% 0.46/0.68 (((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))) <=> ((~((tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.46/0.68 inference(rewrite,[status(thm)],[])).
% 0.46/0.68 tff(391,plain,
% 0.46/0.68 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~((tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))))),
% 0.46/0.68 inference(monotonicity,[status(thm)],[390])).
% 0.46/0.68 tff(392,plain,
% 0.46/0.68 (((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))) <=> ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~((tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.46/0.69 inference(transitivity,[status(thm)],[391, 389])).
% 0.46/0.69 tff(393,plain,
% 0.46/0.69 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | ((~(r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))) | (tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))))))),
% 0.46/0.69 inference(quant_inst,[status(thm)],[])).
% 0.46/0.69 tff(394,plain,
% 0.46/0.69 ((~![X13: $i, X14: $i, X15: $i] : ((~(r3(X13, X14, X15) | (X15 = tptp_fun_Y22_2(X14, X13)))) | (~((~r3(X13, X14, X15)) | (~(X15 = tptp_fun_Y22_2(X14, X13))))))) | (~((tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))) | (~((~r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))))),
% 0.46/0.69 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.46/0.69 tff(395,plain,
% 0.46/0.69 (~((tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0))))))),
% 0.46/0.69 inference(unit_resolution,[status(thm)],[394, 36, 388])).
% 0.46/0.69 tff(396,plain,
% 0.46/0.69 (((tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))) | r3(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))))) | (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0))))),
% 0.46/0.69 inference(tautology,[status(thm)],[])).
% 0.46/0.69 tff(397,plain,
% 0.46/0.69 (~(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))) = tptp_fun_Y22_2(tptp_fun_Y21_1(tptp_fun_Y7_6(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0), tptp_fun_Y22_2(tptp_fun_Y15_5(Y24!0, Y24!0), Y24!0)))), tptp_fun_Y23_3(tptp_fun_Y17_12(Y24!0), Y24!0)))),
% 0.46/0.69 inference(unit_resolution,[status(thm)],[396, 395])).
% 0.46/0.69 tff(398,plain,
% 0.46/0.69 ($false),
% 0.46/0.69 inference(unit_resolution,[status(thm)],[397, 331])).
% 0.46/0.69 % SZS output end Proof
% 0.46/0.69 % E exiting
%------------------------------------------------------------------------------