TSTP Solution File: SYN625-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN625-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 : Thu Sep 29 23:56:41 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN625-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Mon Sep 5 06:09:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output start Proof
% 0.12/0.39 tff(p16_type, type, (
% 0.12/0.39 p16: ( $i * $i * $i ) > $o)).
% 0.12/0.39 tff(c19_type, type, (
% 0.12/0.39 c19: $i)).
% 0.12/0.39 tff(f12_type, type, (
% 0.12/0.39 f12: ( $i * $i * $i * $i * $i ) > $i)).
% 0.12/0.39 tff(f14_type, type, (
% 0.12/0.39 f14: $i > $i)).
% 0.12/0.39 tff(f4_type, type, (
% 0.12/0.39 f4: ( $i * $i ) > $i)).
% 0.12/0.39 tff(c21_type, type, (
% 0.12/0.39 c21: $i)).
% 0.12/0.39 tff(f7_type, type, (
% 0.12/0.39 f7: ( $i * $i ) > $i)).
% 0.12/0.39 tff(c20_type, type, (
% 0.12/0.39 c20: $i)).
% 0.12/0.39 tff(f9_type, type, (
% 0.12/0.39 f9: $i > $i)).
% 0.12/0.39 tff(p18_type, type, (
% 0.12/0.39 p18: ( $i * $i * $i ) > $o)).
% 0.12/0.39 tff(p15_type, type, (
% 0.12/0.39 p15: $i > $o)).
% 0.12/0.39 tff(p17_type, type, (
% 0.12/0.39 p17: ( $i * $i ) > $o)).
% 0.12/0.39 tff(f11_type, type, (
% 0.12/0.39 f11: $i > $i)).
% 0.12/0.39 tff(1,assumption,(p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))), introduced(assumption)).
% 0.12/0.39 tff(2,plain,
% 0.12/0.39 (^[X76: $i, X7: $i] : refl(((~p15(X7)) | (~p18(f9(X7), X76, X76))) <=> ((~p15(X7)) | (~p18(f9(X7), X76, X76))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(3,plain,
% 0.12/0.39 (![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76))) <=> ![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.39 tff(4,plain,
% 0.12/0.39 (![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76))) <=> ![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(5,axiom,(![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_p15_10')).
% 0.12/0.39 tff(6,plain,
% 0.12/0.39 (![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.12/0.39 tff(7,plain,(
% 0.12/0.39 ![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[6])).
% 0.12/0.39 tff(8,plain,
% 0.12/0.39 (![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.12/0.39 tff(9,plain,
% 0.12/0.39 (p15(c21) <=> p15(c21)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(10,axiom,(p15(c21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c21_is_p15_1')).
% 0.12/0.39 tff(11,plain,
% 0.12/0.39 (p15(c21)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.12/0.39 tff(12,plain,
% 0.12/0.39 (((~![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))) | ((~p15(c21)) | (~p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))))) <=> ((~![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))) | (~p15(c21)) | (~p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(13,plain,
% 0.12/0.39 ((~![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))) | ((~p15(c21)) | (~p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(14,plain,
% 0.12/0.39 ((~![X76: $i, X7: $i] : ((~p15(X7)) | (~p18(f9(X7), X76, X76)))) | (~p15(c21)) | (~p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.12/0.39 tff(15,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[14, 11, 8, 1])).
% 0.12/0.39 tff(16,plain,(~p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(17,plain,
% 0.12/0.39 (^[X7: $i] : refl((p15(X7) | p18(f9(X7), f14(X7), f14(X7))) <=> (p15(X7) | p18(f9(X7), f14(X7), f14(X7))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(18,plain,
% 0.12/0.39 (![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7))) <=> ![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[17])).
% 0.12/0.39 tff(19,plain,
% 0.12/0.39 (![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7))) <=> ![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(20,axiom,(![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p15_15')).
% 0.12/0.39 tff(21,plain,
% 0.12/0.39 (![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.12/0.39 tff(22,plain,(
% 0.12/0.39 ![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[21])).
% 0.12/0.39 tff(23,plain,
% 0.12/0.39 (![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.12/0.39 tff(24,plain,
% 0.12/0.39 ((~p15(f4(f7(c19, c20), c21))) <=> (~p15(f4(f7(c19, c20), c21)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(25,axiom,(~p15(f4(f7(c19, c20), c21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','f4_is_not_p15_8')).
% 0.12/0.39 tff(26,plain,
% 0.12/0.39 (~p15(f4(f7(c19, c20), c21))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.12/0.39 tff(27,plain,
% 0.12/0.39 (((~![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))) | (p15(f4(f7(c19, c20), c21)) | p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))))) <=> ((~![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))) | p15(f4(f7(c19, c20), c21)) | p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(28,plain,
% 0.12/0.39 ((~![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))) | (p15(f4(f7(c19, c20), c21)) | p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(29,plain,
% 0.12/0.39 ((~![X7: $i] : (p15(X7) | p18(f9(X7), f14(X7), f14(X7)))) | p15(f4(f7(c19, c20), c21)) | p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.12/0.39 tff(30,plain,
% 0.12/0.39 (p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[29, 26, 23])).
% 0.12/0.39 tff(31,plain,
% 0.12/0.39 (^[X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : refl(((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20)) <=> ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(32,plain,
% 0.12/0.39 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20)) <=> ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[31])).
% 0.12/0.39 tff(33,plain,
% 0.12/0.39 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20)) <=> ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(34,plain,
% 0.12/0.39 (^[X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : rewrite(((p16(f9(X18), X19, X20) | p18(f9(X18), X19, X21)) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(35,plain,
% 0.12/0.39 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((p16(f9(X18), X19, X20) | p18(f9(X18), X19, X21)) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[34])).
% 0.12/0.39 tff(36,axiom,(![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((p16(f9(X18), X19, X20) | p18(f9(X18), X19, X21)) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p16_32')).
% 0.12/0.39 tff(37,plain,
% 0.12/0.39 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.12/0.39 tff(38,plain,
% 0.12/0.39 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[37, 33])).
% 0.12/0.39 tff(39,plain,(
% 0.12/0.39 ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))),
% 0.12/0.39 inference(skolemize,[status(sab)],[38])).
% 0.12/0.40 tff(40,plain,
% 0.12/0.40 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[39, 32])).
% 0.12/0.40 tff(41,plain,
% 0.12/0.40 (((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))) | ((~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19))) <=> ((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))) | (~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(42,plain,
% 0.12/0.40 ((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))) | ((~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(43,plain,
% 0.12/0.40 ((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), X19, X20))) | (~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.12/0.40 tff(44,plain,
% 0.12/0.40 (p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[43, 40, 30])).
% 0.12/0.40 tff(45,plain,
% 0.12/0.40 (p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[44, 16])).
% 0.12/0.40 tff(46,plain,
% 0.12/0.40 (^[X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : refl(((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) <=> ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(47,plain,
% 0.12/0.40 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) <=> ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[46])).
% 0.12/0.40 tff(48,plain,
% 0.12/0.40 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) <=> ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(49,plain,
% 0.12/0.40 (^[X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : trans(monotonicity(rewrite((p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) <=> (p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))), (((p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ((p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))))), rewrite(((p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))), (((p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(50,plain,
% 0.12/0.40 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[49])).
% 0.12/0.40 tff(51,axiom,(![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21)) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p18_34')).
% 0.12/0.40 tff(52,plain,
% 0.12/0.40 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.12/0.40 tff(53,plain,
% 0.12/0.40 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.12/0.40 tff(54,plain,(
% 0.12/0.40 ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))),
% 0.12/0.40 inference(skolemize,[status(sab)],[53])).
% 0.12/0.40 tff(55,plain,
% 0.12/0.40 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.12/0.40 tff(56,plain,
% 0.12/0.40 (((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))) | ((~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21))))) <=> ((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))) | (~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(57,plain,
% 0.12/0.40 ((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))) | ((~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(58,plain,
% 0.12/0.40 ((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p16(f9(X18), f12(X18, X20, X22, X19, X21), X21))) | (~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.12/0.40 tff(59,plain,
% 0.12/0.40 (p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[58, 55, 30])).
% 0.12/0.40 tff(60,plain,
% 0.12/0.40 (p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[59, 16])).
% 0.12/0.40 tff(61,plain,
% 0.12/0.40 (^[X14: $i, X17: $i, X16: $i, X15: $i] : refl(((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16)) <=> ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(62,plain,
% 0.12/0.40 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16)) <=> ![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[61])).
% 0.12/0.40 tff(63,plain,
% 0.12/0.40 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16)) <=> ![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(64,plain,
% 0.12/0.40 (^[X14: $i, X17: $i, X16: $i, X15: $i] : trans(monotonicity(rewrite((p16(X14, X15, X16) | (~p16(X14, X15, X17))) <=> ((~p16(X14, X15, X17)) | p16(X14, X15, X16))), (((p16(X14, X15, X16) | (~p16(X14, X15, X17))) | (~p16(X14, X17, X16))) <=> (((~p16(X14, X15, X17)) | p16(X14, X15, X16)) | (~p16(X14, X17, X16))))), rewrite((((~p16(X14, X15, X17)) | p16(X14, X15, X16)) | (~p16(X14, X17, X16))) <=> ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))), (((p16(X14, X15, X16) | (~p16(X14, X15, X17))) | (~p16(X14, X17, X16))) <=> ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(65,plain,
% 0.12/0.40 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((p16(X14, X15, X16) | (~p16(X14, X15, X17))) | (~p16(X14, X17, X16))) <=> ![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[64])).
% 0.12/0.40 tff(66,axiom,(![X14: $i, X17: $i, X16: $i, X15: $i] : ((p16(X14, X15, X16) | (~p16(X14, X15, X17))) | (~p16(X14, X17, X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p16_23')).
% 0.12/0.40 tff(67,plain,
% 0.12/0.40 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.12/0.40 tff(68,plain,
% 0.12/0.40 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.12/0.40 tff(69,plain,(
% 0.12/0.40 ![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))),
% 0.12/0.40 inference(skolemize,[status(sab)],[68])).
% 0.12/0.40 tff(70,plain,
% 0.12/0.40 (![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[69, 62])).
% 0.12/0.40 tff(71,plain,
% 0.12/0.40 (((~![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))) | ((~p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19)) | (~p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21)))) | p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), c19))) <=> ((~![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))) | (~p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19)) | (~p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21)))) | p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), c19))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(72,plain,
% 0.12/0.40 ((~![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))) | ((~p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19)) | (~p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21)))) | p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), c19))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(73,plain,
% 0.12/0.41 ((~![X14: $i, X17: $i, X16: $i, X15: $i] : ((~p16(X14, X17, X16)) | (~p16(X14, X15, X17)) | p16(X14, X15, X16))) | (~p16(f9(c21), f14(f4(f7(c19, c20), c21)), c19)) | (~p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f14(f4(f7(c19, c20), c21)))) | p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), c19)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.12/0.41 tff(74,plain,
% 0.12/0.41 (p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), c19)),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[73, 70, 60, 45])).
% 0.12/0.41 tff(75,plain,
% 0.12/0.41 (^[X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : refl(((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) <=> ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(76,plain,
% 0.12/0.41 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) <=> ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[75])).
% 0.12/0.41 tff(77,plain,
% 0.12/0.41 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) <=> ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(78,plain,
% 0.12/0.41 (^[X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : trans(monotonicity(rewrite((p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) <=> (p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))), (((p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ((p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))))), rewrite(((p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))), (((p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(79,plain,
% 0.12/0.41 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21))) <=> ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[78])).
% 0.12/0.41 tff(80,axiom,(![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22))) | (~p18(f9(f4(f7(X20, X22), X18)), X19, X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p18_33')).
% 0.12/0.41 tff(81,plain,
% 0.12/0.41 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.12/0.41 tff(82,plain,
% 0.12/0.41 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.12/0.41 tff(83,plain,(
% 0.12/0.41 ![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))),
% 0.12/0.41 inference(skolemize,[status(sab)],[82])).
% 0.12/0.41 tff(84,plain,
% 0.12/0.41 (![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[83, 76])).
% 0.12/0.41 tff(85,plain,
% 0.12/0.41 (((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))) | ((~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20)))) <=> ((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))) | (~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(86,plain,
% 0.12/0.41 ((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))) | ((~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20)))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(87,plain,
% 0.12/0.41 ((~![X22: $i, X21: $i, X18: $i, X20: $i, X19: $i] : ((~p18(f9(f4(f7(X20, X22), X18)), X19, X21)) | p18(f9(X18), X19, X21) | p17(f12(X18, X20, X22, X19, X21), f11(X22)))) | (~p18(f9(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21)))) | p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.12/0.41 tff(88,plain,
% 0.12/0.41 (p18(f9(c21), f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))) | p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[87, 84, 30])).
% 0.12/0.41 tff(89,plain,
% 0.12/0.41 (p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[88, 16])).
% 0.12/0.41 tff(90,plain,
% 0.12/0.41 (^[X77: $i] : refl(((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19))) <=> ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(91,plain,
% 0.12/0.41 (![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19))) <=> ![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[90])).
% 0.12/0.41 tff(92,plain,
% 0.12/0.41 (![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19))) <=> ![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(93,axiom,(![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_p17_16')).
% 0.12/0.41 tff(94,plain,
% 0.12/0.41 (![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.12/0.41 tff(95,plain,(
% 0.12/0.41 ![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))),
% 0.12/0.41 inference(skolemize,[status(sab)],[94])).
% 0.12/0.41 tff(96,plain,
% 0.12/0.41 (![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.12/0.41 tff(97,plain,
% 0.20/0.41 (((~![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))) | ((~p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20))) | (~p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), c19)))) <=> ((~![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))) | (~p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20))) | (~p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), c19)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(98,plain,
% 0.20/0.41 ((~![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))) | ((~p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20))) | (~p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), c19)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(99,plain,
% 0.20/0.41 ((~![X77: $i] : ((~p17(X77, f11(c20))) | (~p16(f9(c21), X77, c19)))) | (~p17(f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), f11(c20))) | (~p16(f9(c21), f12(c21, c19, c20, f14(f4(f7(c19, c20), c21)), f14(f4(f7(c19, c20), c21))), c19))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.20/0.41 tff(100,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[99, 96, 89, 74])).
% 0.20/0.41 % SZS output end Proof
%------------------------------------------------------------------------------