%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP660-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 01:35:06 PM UTC 2026
% Result : Unsatisfiable 20.17s 3.30s
% Output : CNFRefutation 20.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 79 unt; 2 def)
% Number of atoms : 224 ( 78 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 77 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
mult(x0,rd(x1,x1)) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
x0 != mult(x0,rd(x1,x1)),
inference(reorient_equations,[],[f6]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
mult(x0,rd(x1,x1)) != x0,
inference(cnf_transformation,[],[f7]) ).
tcf(c_83,definition,
iPr_def_10 = rd(x1,x1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_84,definition,
iPr_def_11 = mult(x0,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_85,negated_conjecture,
iPr_def_11 != x0,
inference(demodulation,[status(thm)],[c_60,c_83,c_84]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_140,plain,
rd(iPr_def_11,iPr_def_10) = x0,
inference(superposition,[status(thm)],[c_84,c_87]) ).
tcf(c_141,plain,
mult(iPr_def_10,x1) = x1,
inference(superposition,[status(thm)],[c_83,c_88]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_88,c_89]) ).
tcf(c_143,plain,
ld(x0,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_84,c_89]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_90,c_87]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X0))) = mult(X2,X0),
inference(superposition,[status(thm)],[c_90,c_86]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,X1),mult(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[status(thm)],[c_90,c_86]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X0)))) = X0,
inference(superposition,[status(thm)],[c_86,c_89]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,mult(X1,mult(X2,X0))),X0) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_86,c_87]) ).
tcf(c_200,plain,
rd(x1,x1) = iPr_def_10,
inference(superposition,[status(thm)],[c_141,c_87]) ).
tcf(c_201,plain,
mult(x0,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_143,c_90]) ).
tcf(c_203,plain,
ld(iPr_def_10,x1) = x1,
inference(superposition,[status(thm)],[c_83,c_142]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(mult(X1,X0),X2),X1)) = ld(X1,mult(X2,X1)),
inference(superposition,[status(thm)],[c_145,c_89]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X0),X1)),
inference(superposition,[status(thm)],[c_88,c_147]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i,X2: $i] : ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(superposition,[status(thm)],[c_147,c_89]) ).
tcf(c_305,plain,
! [X0: $i] : ld(mult(mult(iPr_def_10,X0),x0),mult(iPr_def_10,mult(X0,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_84,c_152]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,rd(X1,mult(X2,X0))),X2) = rd(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_88,c_153]) ).
tcf(c_376,plain,
! [X0: $i] : rd(mult(x1,mult(X0,x1)),x1) = mult(mult(x1,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_141,c_153]) ).
tcf(c_967,plain,
! [X0: $i] : mult(x1,mult(ld(x1,X0),iPr_def_10)) = ld(iPr_def_10,mult(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_141,c_240]) ).
tcf(c_982,plain,
! [X0: $i,X1: $i,X2: $i] : ld(X0,ld(X1,mult(X2,X1))) = mult(ld(mult(X1,X0),X2),X1),
inference(superposition,[status(thm)],[c_240,c_89]) ).
tcf(c_1049,plain,
mult(mult(x1,iPr_def_10),iPr_def_10) = rd(mult(x1,x1),x1),
inference(superposition,[status(thm)],[c_141,c_376]) ).
tcf(c_1101,plain,
mult(mult(x1,iPr_def_10),iPr_def_10) = x1,
inference(demodulation,[status(thm)],[c_1049,c_87]) ).
tcf(c_1590,plain,
mult(x1,iPr_def_10) = rd(x1,iPr_def_10),
inference(superposition,[status(thm)],[c_1101,c_87]) ).
tcf(c_1713,plain,
mult(ld(iPr_def_10,x1),mult(iPr_def_10,iPr_def_10)) = ld(iPr_def_10,x1),
inference(superposition,[status(thm)],[c_1101,c_277]) ).
tcf(c_1719,plain,
! [X0: $i] : mult(ld(X0,iPr_def_10),mult(x1,X0)) = ld(X0,mult(x1,X0)),
inference(superposition,[status(thm)],[c_141,c_277]) ).
tcf(c_1823,plain,
mult(x1,mult(iPr_def_10,iPr_def_10)) = x1,
inference(demodulation,[status(thm)],[c_1713,c_203]) ).
tcf(c_2038,plain,
! [X0: $i] : rd(mult(iPr_def_10,mult(X0,rd(x1,iPr_def_10))),iPr_def_10) = mult(mult(iPr_def_10,X0),x1),
inference(superposition,[status(thm)],[c_1590,c_153]) ).
tcf(c_2056,plain,
ld(x1,x1) = mult(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_1823,c_89]) ).
tcf(c_2261,plain,
! [X0: $i] : rd(ld(X0,mult(x1,X0)),mult(x1,X0)) = ld(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_1719,c_87]) ).
tcf(c_2447,plain,
mult(x1,mult(mult(iPr_def_10,iPr_def_10),iPr_def_10)) = ld(iPr_def_10,mult(x1,iPr_def_10)),
inference(superposition,[status(thm)],[c_2056,c_967]) ).
tcf(c_2666,plain,
mult(x1,mult(mult(iPr_def_10,iPr_def_10),iPr_def_10)) = ld(iPr_def_10,rd(x1,iPr_def_10)),
inference(demodulation,[status(thm)],[c_2447,c_1590]) ).
tcf(c_4850,plain,
! [X0: $i,X1: $i] : mult(ld(mult(X0,X1),X0),X0) = ld(X1,X0),
inference(superposition,[status(thm)],[c_89,c_982]) ).
tcf(c_5232,plain,
mult(ld(x1,mult(x1,iPr_def_10)),mult(x1,iPr_def_10)) = ld(iPr_def_10,mult(x1,iPr_def_10)),
inference(superposition,[status(thm)],[c_1101,c_4850]) ).
tcf(c_5236,plain,
ld(mult(iPr_def_10,iPr_def_10),x1) = mult(ld(x1,x1),x1),
inference(superposition,[status(thm)],[c_1823,c_4850]) ).
tcf(c_5263,plain,
! [X0: $i,X1: $i] : ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_4850,c_87]) ).
tcf(c_5433,plain,
ld(mult(mult(iPr_def_10,x1),mult(iPr_def_10,iPr_def_10)),mult(iPr_def_10,ld(iPr_def_10,rd(x1,iPr_def_10)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_2666,c_152]) ).
tcf(c_5481,plain,
ld(mult(iPr_def_10,iPr_def_10),x1) = mult(mult(iPr_def_10,iPr_def_10),x1),
inference(demodulation,[status(thm)],[c_5236,c_2056]) ).
tcf(c_5482,plain,
ld(iPr_def_10,rd(x1,iPr_def_10)) = mult(iPr_def_10,rd(x1,iPr_def_10)),
inference(demodulation,[status(thm)],[c_5232,c_89,c_1590]) ).
tcf(c_5483,plain,
ld(mult(mult(iPr_def_10,x1),mult(iPr_def_10,iPr_def_10)),mult(iPr_def_10,mult(iPr_def_10,rd(x1,iPr_def_10)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_5433,c_5482]) ).
tcf(c_5484,plain,
ld(x1,mult(iPr_def_10,mult(iPr_def_10,rd(x1,iPr_def_10)))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_5483,c_141,c_1823]) ).
tcf(c_5966,plain,
rd(ld(iPr_def_10,mult(x1,iPr_def_10)),mult(x1,iPr_def_10)) = ld(x1,mult(x1,iPr_def_10)),
inference(superposition,[status(thm)],[c_1101,c_5263]) ).
tcf(c_6034,plain,
rd(x1,mult(mult(iPr_def_10,iPr_def_10),x1)) = mult(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_5481,c_144]) ).
tcf(c_6056,plain,
rd(mult(iPr_def_10,mult(iPr_def_10,rd(x1,iPr_def_10))),iPr_def_10) = x1,
inference(superposition,[status(thm)],[c_5484,c_144]) ).
tcf(c_6131,plain,
mult(mult(iPr_def_10,iPr_def_10),x1) = x1,
inference(demodulation,[status(thm)],[c_6056,c_2038]) ).
tcf(c_6133,plain,
mult(iPr_def_10,iPr_def_10) = rd(x1,x1),
inference(demodulation,[status(thm)],[c_6034,c_6131]) ).
tcf(c_6134,plain,
mult(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_6133,c_200]) ).
tcf(c_6152,plain,
ld(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_5966,c_89,c_2261]) ).
tcf(c_6357,plain,
! [X0: $i] : mult(mult(iPr_def_10,rd(X0,iPr_def_10)),iPr_def_10) = rd(mult(iPr_def_10,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_6134,c_367]) ).
tcf(c_6375,plain,
ld(mult(iPr_def_10,x0),mult(iPr_def_10,mult(iPr_def_10,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_6134,c_305]) ).
tcf(c_6556,plain,
! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,X0)) = rd(mult(iPr_def_10,X0),iPr_def_10),
inference(demodulation,[status(thm)],[c_6357,c_268,c_6152]) ).
tcf(c_14451,plain,
ld(iPr_def_10,mult(mult(iPr_def_10,mult(iPr_def_10,iPr_def_11)),iPr_def_10)) = mult(x0,mult(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_6375,c_240]) ).
tcf(c_14792,plain,
mult(iPr_def_10,mult(mult(iPr_def_10,iPr_def_11),iPr_def_10)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_14451,c_201,c_277,c_6134,c_6152]) ).
tcf(c_15209,plain,
! [X0: $i] : mult(iPr_def_10,X0) = rd(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_90,c_6556]) ).
tcf(c_15231,plain,
mult(iPr_def_10,iPr_def_11) = rd(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_14792,c_6556]) ).
tcf(c_15476,plain,
mult(iPr_def_10,iPr_def_11) = x0,
inference(demodulation,[status(thm)],[c_15231,c_140]) ).
tcf(c_16067,plain,
rd(mult(mult(iPr_def_10,iPr_def_11),iPr_def_10),iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_15209,c_14792]) ).
tcf(c_16261,plain,
x0 = iPr_def_11,
inference(demodulation,[status(thm)],[c_16067,c_87,c_15476]) ).
tcf(c_16999,plain,
$false,
inference(superposition,[status(thm)],[c_16261,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 15:32:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running UEQ theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 20.17/3.30 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 20.17/3.30 % SZS status Started for theBenchmark.p
% 20.17/3.30 % SZS status Unsatisfiable for theBenchmark.p
% 20.17/3.30
% 20.17/3.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 20.17/3.30
% 20.17/3.30 % ------ iProver source info
% 20.17/3.30
% 20.17/3.30 % git: date: 2026-07-19 20:42:38 +0200
% 20.17/3.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 20.17/3.30 % git: non_committed_changes: false
% 20.17/3.30
% 20.17/3.30 % ------ Parsing...% successful
% 20.17/3.30
% 20.17/3.30
% 20.17/3.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 20.17/3.30
% 20.17/3.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 20.17/3.30
% 20.17/3.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 20.17/3.30
% 20.17/3.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.17/3.30 % ------ Proving...
% 20.17/3.30 % ------ Problem Properties
% 20.17/3.30
% 20.17/3.30 %
% 20.17/3.30 % clauses 8
% 20.17/3.30 % conjectures 1
% 20.17/3.30 % EPR 1
% 20.17/3.30 % Horn 8
% 20.17/3.30 % unary 8
% 20.17/3.30 % binary 0
% 20.17/3.30 % lits 8
% 20.17/3.30 % lits eq 8
% 20.17/3.30 % fd_pure 0
% 20.17/3.30 % fd_pseudo 0
% 20.17/3.30 % fd_cond 0
% 20.17/3.30 % fd_pseudo_cond 0
% 20.17/3.30 % AC symbols 0
% 20.17/3.30
% 20.17/3.30 % ------ Input Options Time Limit: Unbounded
% 20.17/3.30
% 20.17/3.30
% 20.17/3.30 % ------
% 20.17/3.30 % Current options:
% 20.17/3.30 % ------
% 20.17/3.30
% 20.17/3.30
% 20.17/3.30 %
% 20.17/3.30
% 20.17/3.30 % ------ Proving...
% 20.17/3.30 %
% 20.17/3.30
% 20.17/3.30 % SZS status Unsatisfiable for theBenchmark.p
% 20.17/3.30
% 20.17/3.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.17/3.30
% 20.17/3.30
%------------------------------------------------------------------------------