%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN598-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:41:11 PM UTC 2026
% Result : Unsatisfiable 9.70s 2.48s
% Output : CNFRefutation 9.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 76 ( 76 unt; 10 def)
% Number of atoms : 239 ( 75 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-4 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,negated_conjecture,
p17(c21) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p17_1) ).
fof(f3,negated_conjecture,
p18(c21) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p18_2) ).
fof(f4,plain,
true = p18(c21),
inference(reorient_equations,[],[f3]) ).
fof(f5,negated_conjecture,
! [X0] : p7(X0,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
fof(f6,plain,
! [X0] : true = p7(X0,X0),
inference(reorient_equations,[],[f5]) ).
fof(f13,negated_conjecture,
p3(f4(f6(c21)),c22) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f14,plain,
true = p3(f4(f6(c21)),c22),
inference(reorient_equations,[],[f13]) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] : ifeq(p19(X0,X1),true,ifeq(p7(X1,X2),true,ifeq(p7(X0,X3),true,p19(X3,X2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_23) ).
fof(f46,plain,
! [X2,X3,X0,X1] : true = ifeq(p19(X0,X1),true,ifeq(p7(X1,X2),true,ifeq(p7(X0,X3),true,p19(X3,X2),true),true),true),
inference(reorient_equations,[],[f45]) ).
fof(f49,negated_conjecture,
! [X2,X3,X0,X1] : ifeq(p3(X0,X1),true,ifeq(p7(X2,X3),true,p7(f11(X2,X0),f11(X3,X1)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
fof(f50,plain,
! [X2,X3,X0,X1] : true = ifeq(p3(X0,X1),true,ifeq(p7(X2,X3),true,p7(f11(X2,X0),f11(X3,X1)),true),true),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] : ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f10(X2,X0),f10(X3,X1)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_26) ).
fof(f52,plain,
! [X2,X3,X0,X1] : true = ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f10(X2,X0),f10(X3,X1)),true),true),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_27) ).
fof(f54,plain,
true != p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
! [X0] : ifeq(p18(X0),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_28) ).
fof(f56,plain,
! [X0] : true = ifeq(p18(X0),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))),true),
inference(reorient_equations,[],[f55]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_80,negated_conjecture,
p17(c21) = true,
inference(cnf_transformation,[],[f2]) ).
tcf(c_81,negated_conjecture,
p18(c21) = true,
inference(cnf_transformation,[],[f4]) ).
tcf(c_82,negated_conjecture,
! [X0: $i] : p7(X0,X0) = true,
inference(cnf_transformation,[],[f6]) ).
tcf(c_86,negated_conjecture,
p3(f4(f6(c21)),c22) = true,
inference(cnf_transformation,[],[f14]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p19(X0,X1),true,ifeq(p7(X1,X2),true,ifeq(p7(X0,X3),true,p19(X3,X2),true),true),true) = true,
inference(cnf_transformation,[],[f46]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p3(X0,X1),true,ifeq(p7(X2,X3),true,p7(f11(X2,X0),f11(X3,X1)),true),true) = true,
inference(cnf_transformation,[],[f50]) ).
tcf(c_105,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f10(X2,X0),f10(X3,X1)),true),true) = true,
inference(cnf_transformation,[],[f52]) ).
tcf(c_106,negated_conjecture,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
inference(cnf_transformation,[],[f54]) ).
tcf(c_107,negated_conjecture,
! [X0: $i] : ifeq(p18(X0),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))),true) = true,
inference(cnf_transformation,[],[f56]) ).
tcf(c_228,definition,
iPr_def_22 = f11(iPr_def_13,c22),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_229,definition,
iPr_def_23 = f10(iPr_def_22,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_230,definition,
iPr_def_24 = f9(c21),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_231,definition,
iPr_def_25 = f8(iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_232,definition,
iPr_def_26 = p19(iPr_def_23,iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_233,definition,
iPr_def_27 = f6(c21),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_234,definition,
iPr_def_28 = f4(iPr_def_27),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_235,definition,
iPr_def_29 = p3(iPr_def_28,c22),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_236,definition,
iPr_def_30 = p18(c21),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_237,definition,
iPr_def_31 = p17(c21),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_239,negated_conjecture,
! [X0: $i] : ifeq(p18(X0),true,p19(f10(f11(iPr_def_13,f4(f6(X0))),iPr_def_21),f8(f9(X0))),true) = true,
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_240,negated_conjecture,
iPr_def_26 != true,
inference(demodulation,[status(thm)],[c_106,c_230,c_231,c_228,c_229,c_232]) ).
tcf(c_241,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f10(X2,X0),f10(X3,X1)),true),true) = true,
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_242,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p3(X0,X1),true,ifeq(p7(X2,X3),true,p7(f11(X2,X0),f11(X3,X1)),true),true) = true,
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_244,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p19(X0,X1),true,ifeq(p7(X1,X2),true,ifeq(p7(X0,X3),true,p19(X3,X2),true),true),true) = true,
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_260,negated_conjecture,
iPr_def_29 = true,
inference(demodulation,[status(thm)],[c_86,c_233,c_234,c_235]) ).
tcf(c_264,negated_conjecture,
! [X0: $i] : p7(X0,X0) = true,
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_265,negated_conjecture,
iPr_def_30 = true,
inference(demodulation,[status(thm)],[c_81,c_236]) ).
tcf(c_266,negated_conjecture,
iPr_def_31 = true,
inference(demodulation,[status(thm)],[c_80,c_237]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_519,plain,
iPr_def_29 = iPr_def_30,
inference(demodulation,[status(thm)],[c_260,c_265]) ).
tcf(c_520,plain,
iPr_def_30 = iPr_def_31,
inference(superposition,[status(thm)],[c_265,c_266]) ).
tcf(c_522,plain,
true = iPr_def_30,
inference(demodulation,[status(thm)],[c_266,c_520]) ).
tcf(c_523,plain,
iPr_def_26 != iPr_def_30,
inference(light_normalisation,[status(thm)],[c_240,c_522]) ).
tcf(c_527,plain,
! [X0: $i] : p7(X0,X0) = iPr_def_30,
inference(light_normalisation,[status(thm)],[c_264,c_522]) ).
tcf(c_535,plain,
p3(iPr_def_28,c22) = iPr_def_30,
inference(light_normalisation,[status(thm)],[c_235,c_519]) ).
tcf(c_620,plain,
! [X0: $i] : ifeq(p18(X0),iPr_def_30,p19(f10(f11(iPr_def_13,f4(f6(X0))),iPr_def_21),f8(f9(X0))),iPr_def_30) = iPr_def_30,
inference(light_normalisation,[status(thm)],[c_239,c_522]) ).
tcf(c_623,plain,
ifeq(p18(c21),iPr_def_30,p19(f10(f11(iPr_def_13,f4(f6(c21))),iPr_def_21),f8(iPr_def_24)),iPr_def_30) = iPr_def_30,
inference(superposition,[status(thm)],[c_230,c_620]) ).
tcf(c_624,plain,
p19(f10(f11(iPr_def_13,iPr_def_28),iPr_def_21),iPr_def_25) = iPr_def_30,
inference(demodulation,[status(thm)],[c_623,c_267,c_231,c_233,c_234,c_236]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p7(X0,X1),iPr_def_30,ifeq(p7(X2,X3),iPr_def_30,p7(f10(X2,X0),f10(X3,X1)),iPr_def_30),iPr_def_30) = iPr_def_30,
inference(light_normalisation,[status(thm)],[c_241,c_522]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] : ifeq(p7(X0,iPr_def_21),iPr_def_30,ifeq(p7(X1,iPr_def_22),iPr_def_30,p7(f10(X1,X0),iPr_def_23),iPr_def_30),iPr_def_30) = iPr_def_30,
inference(superposition,[status(thm)],[c_229,c_627]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p3(X0,X1),iPr_def_30,ifeq(p7(X2,X3),iPr_def_30,p7(f11(X2,X0),f11(X3,X1)),iPr_def_30),iPr_def_30) = iPr_def_30,
inference(light_normalisation,[status(thm)],[c_242,c_522]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(p3(X0,X1),iPr_def_30,ifeq(iPr_def_30,iPr_def_30,p7(f11(X2,X0),f11(X2,X1)),iPr_def_30),iPr_def_30) = iPr_def_30,
inference(superposition,[status(thm)],[c_527,c_638]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(p3(X0,X1),iPr_def_30,p7(f11(X2,X0),f11(X2,X1)),iPr_def_30) = iPr_def_30,
inference(demodulation,[status(thm)],[c_641,c_267]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p19(X0,X1),iPr_def_30,ifeq(p7(X1,X2),iPr_def_30,ifeq(p7(X0,X3),iPr_def_30,p19(X3,X2),iPr_def_30),iPr_def_30),iPr_def_30) = iPr_def_30,
inference(light_normalisation,[status(thm)],[c_244,c_522]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i] : ifeq(p19(X0,X1),iPr_def_30,ifeq(p7(X1,iPr_def_25),iPr_def_30,ifeq(p7(X0,iPr_def_23),iPr_def_30,iPr_def_26,iPr_def_30),iPr_def_30),iPr_def_30) = iPr_def_30,
inference(superposition,[status(thm)],[c_232,c_737]) ).
tcf(c_1149,plain,
! [X0: $i] : ifeq(iPr_def_30,iPr_def_30,ifeq(p7(X0,iPr_def_22),iPr_def_30,p7(f10(X0,iPr_def_21),iPr_def_23),iPr_def_30),iPr_def_30) = iPr_def_30,
inference(superposition,[status(thm)],[c_527,c_632]) ).
tcf(c_1153,plain,
! [X0: $i] : ifeq(p7(X0,iPr_def_22),iPr_def_30,p7(f10(X0,iPr_def_21),iPr_def_23),iPr_def_30) = iPr_def_30,
inference(demodulation,[status(thm)],[c_1149,c_267]) ).
tcf(c_1238,plain,
! [X0: $i] : ifeq(iPr_def_30,iPr_def_30,p7(f11(X0,iPr_def_28),f11(X0,c22)),iPr_def_30) = iPr_def_30,
inference(superposition,[status(thm)],[c_535,c_647]) ).
tcf(c_1248,plain,
! [X0: $i] : p7(f11(X0,iPr_def_28),f11(X0,c22)) = iPr_def_30,
inference(demodulation,[status(thm)],[c_1238,c_267]) ).
tcf(c_1267,plain,
p7(f11(iPr_def_13,iPr_def_28),iPr_def_22) = iPr_def_30,
inference(superposition,[status(thm)],[c_228,c_1248]) ).
tcf(c_1581,plain,
ifeq(iPr_def_30,iPr_def_30,ifeq(p7(iPr_def_25,iPr_def_25),iPr_def_30,ifeq(p7(f10(f11(iPr_def_13,iPr_def_28),iPr_def_21),iPr_def_23),iPr_def_30,iPr_def_26,iPr_def_30),iPr_def_30),iPr_def_30) = iPr_def_30,
inference(superposition,[status(thm)],[c_624,c_741]) ).
tcf(c_1586,plain,
ifeq(p7(f10(f11(iPr_def_13,iPr_def_28),iPr_def_21),iPr_def_23),iPr_def_30,iPr_def_26,iPr_def_30) = iPr_def_30,
inference(demodulation,[status(thm)],[c_1581,c_267,c_527]) ).
tcf(c_3869,plain,
ifeq(iPr_def_30,iPr_def_30,p7(f10(f11(iPr_def_13,iPr_def_28),iPr_def_21),iPr_def_23),iPr_def_30) = iPr_def_30,
inference(superposition,[status(thm)],[c_1267,c_1153]) ).
tcf(c_3872,plain,
p7(f10(f11(iPr_def_13,iPr_def_28),iPr_def_21),iPr_def_23) = iPr_def_30,
inference(demodulation,[status(thm)],[c_3869,c_267]) ).
tcf(c_3873,plain,
ifeq(iPr_def_30,iPr_def_30,iPr_def_26,iPr_def_30) = iPr_def_30,
inference(demodulation,[status(thm)],[c_1586,c_3872]) ).
tcf(c_3874,plain,
iPr_def_26 = iPr_def_30,
inference(demodulation,[status(thm)],[c_3873,c_267]) ).
tcf(c_3875,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3874,c_523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN598-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.43 % Computer : n013.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Fri Sep 25 01:50:44 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.49 Running UEQ theorem proving
% 0.18/0.49 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.51
% 0.26/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.51
% 0.26/0.51 % Detected problem language: tptp
% 0.26/0.53 % Proving...
% 9.70/2.48 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 9.70/2.48 % SZS status Started for theBenchmark.p
% 9.70/2.48 % SZS status Unsatisfiable for theBenchmark.p
% 9.70/2.48
% 9.70/2.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.70/2.48
% 9.70/2.48 % ------ iProver source info
% 9.70/2.48
% 9.70/2.48 % git: date: 2026-07-19 20:42:38 +0200
% 9.70/2.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.70/2.48 % git: non_committed_changes: false
% 9.70/2.48
% 9.70/2.48 % ------ Parsing...% successful
% 9.70/2.48
% 9.70/2.48
% 9.70/2.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.70/2.48
% 9.70/2.48 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 9.70/2.48
% 9.70/2.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.70/2.48
% 9.70/2.48 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.70/2.48 % ------ Proving...
% 9.70/2.48 % ------ Problem Properties
% 9.70/2.48
% 9.70/2.48 %
% 9.70/2.48 % clauses 52
% 9.70/2.48 % conjectures 29
% 9.70/2.48 % EPR 4
% 9.70/2.48 % Horn 52
% 9.70/2.48 % unary 52
% 9.70/2.48 % binary 0
% 9.70/2.48 % lits 52
% 9.70/2.48 % lits eq 52
% 9.70/2.48 % fd_pure 0
% 9.70/2.48 % fd_pseudo 0
% 9.70/2.48 % fd_cond 0
% 9.70/2.48 % fd_pseudo_cond 0
% 9.70/2.48 % AC symbols 0
% 9.70/2.48
% 9.70/2.48 % ------ Input Options Time Limit: Unbounded
% 9.70/2.48
% 9.70/2.48
% 9.70/2.48 % ------
% 9.70/2.48 % Current options:
% 9.70/2.48 % ------
% 9.70/2.48
% 9.70/2.48
% 9.70/2.48 %
% 9.70/2.48
% 9.70/2.48 % ------ Proving...
% 9.70/2.48 %
% 9.70/2.48
% 9.70/2.48 % SZS status Unsatisfiable for theBenchmark.p
% 9.70/2.48
% 9.70/2.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.70/2.48
% 9.70/2.48
%------------------------------------------------------------------------------