%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 01:35:14 PM UTC 2026
% Result : Unsatisfiable 5.55s 7.83s
% Output : CNFRefutation 5.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 65 ( 65 unt; 6 def)
% Number of atoms : 108 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 72 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,mult(X1,mult(X1,X2))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f9,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,plain,
! [X0: $i] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,mult(X1,X2))),X1) = mult(mult(X0,X1),mult(X1,mult(X2,X1))),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
mult(mult(a,c),ld(c,mult(b,c))) != mult(mult(a,b),c),
inference(cnf_transformation,[],[f9]) ).
tcf(c_98,definition,
iPr_def_10 = mult(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_99,definition,
iPr_def_11 = mult(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_100,definition,
iPr_def_12 = ld(c,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_101,definition,
iPr_def_13 = mult(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_102,definition,
iPr_def_14 = mult(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_103,definition,
iPr_def_15 = mult(iPr_def_14,c),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_104,negated_conjecture,
iPr_def_13 != iPr_def_15,
inference(demodulation,[status(thm)],[c_66,c_102,c_103,c_99,c_100,c_98,c_101]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,mult(X1,X2))),X1) = mult(mult(X0,X1),mult(X1,mult(X2,X1))),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_107,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_108,plain,
! [X0: $i] : mult(X0,unit) = X0,
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_188,plain,
ld(a,iPr_def_14) = b,
inference(superposition,[status(thm)],[c_102,c_111]) ).
tcf(c_189,plain,
ld(a,iPr_def_10) = c,
inference(superposition,[status(thm)],[c_98,c_111]) ).
tcf(c_190,plain,
ld(b,iPr_def_11) = c,
inference(superposition,[status(thm)],[c_99,c_111]) ).
tcf(c_191,plain,
ld(iPr_def_10,iPr_def_13) = iPr_def_12,
inference(superposition,[status(thm)],[c_101,c_111]) ).
tcf(c_192,plain,
ld(iPr_def_14,iPr_def_15) = c,
inference(superposition,[status(thm)],[c_103,c_111]) ).
tcf(c_201,plain,
mult(c,iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_100,c_112]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] : mult(mult(unit,X0),mult(X0,mult(X1,X0))) = mult(mult(X0,mult(X0,X1)),X0),
inference(superposition,[status(thm)],[c_107,c_105]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i] : mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
inference(superposition,[status(thm)],[c_108,c_106]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i] : mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
inference(demodulation,[status(thm)],[c_254,c_108]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(X0,X1)),X0) = mult(X0,mult(X0,mult(X1,X0))),
inference(demodulation,[status(thm)],[c_208,c_107]) ).
tcf(c_393,plain,
mult(a,b) = iPr_def_14,
inference(superposition,[status(thm)],[c_188,c_112]) ).
tcf(c_394,plain,
mult(a,c) = iPr_def_10,
inference(superposition,[status(thm)],[c_189,c_112]) ).
tcf(c_395,plain,
mult(b,c) = iPr_def_11,
inference(superposition,[status(thm)],[c_190,c_112]) ).
tcf(c_396,plain,
mult(iPr_def_10,iPr_def_12) = iPr_def_13,
inference(superposition,[status(thm)],[c_191,c_112]) ).
tcf(c_397,plain,
mult(iPr_def_14,c) = iPr_def_15,
inference(superposition,[status(thm)],[c_192,c_112]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i] : mult(X0,mult(mult(ld(X0,X1),X0),X0)) = mult(mult(X1,X0),X0),
inference(superposition,[status(thm)],[c_112,c_270]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i] : rd(mult(X0,mult(mult(X1,X0),X0)),X0) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_270,c_109]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X0,mult(ld(X0,X1),X0))) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_112,c_273]) ).
tcf(c_1384,plain,
! [X0: $i,X1: $i] : ld(X0,mult(mult(X1,X0),X0)) = mult(mult(ld(X0,X1),X0),X0),
inference(superposition,[status(thm)],[c_429,c_111]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i] : mult(mult(X0,rd(X1,X0)),X0) = rd(mult(X0,mult(X1,X0)),X0),
inference(superposition,[status(thm)],[c_110,c_445]) ).
tcf(c_2413,plain,
! [X0: $i,X1: $i] : ld(X0,mult(mult(X0,X1),X0)) = mult(X0,mult(ld(X0,X1),X0)),
inference(superposition,[status(thm)],[c_499,c_111]) ).
tcf(c_2859,plain,
mult(mult(ld(c,b),c),c) = ld(c,mult(iPr_def_11,c)),
inference(superposition,[status(thm)],[c_395,c_1384]) ).
tcf(c_3261,plain,
! [X0: $i,X1: $i] : rd(rd(mult(X0,mult(X1,X0)),X0),X0) = mult(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[c_1774,c_109]) ).
tcf(c_5409,plain,
mult(c,mult(ld(c,iPr_def_12),c)) = ld(c,mult(iPr_def_11,c)),
inference(superposition,[status(thm)],[c_201,c_2413]) ).
tcf(c_10547,plain,
rd(ld(c,mult(iPr_def_11,c)),c) = mult(ld(c,b),c),
inference(superposition,[status(thm)],[c_2859,c_109]) ).
tcf(c_13423,plain,
rd(rd(ld(c,mult(iPr_def_11,c)),c),c) = mult(c,rd(ld(c,iPr_def_12),c)),
inference(superposition,[status(thm)],[c_5409,c_3261]) ).
tcf(c_13669,plain,
mult(c,rd(ld(c,iPr_def_12),c)) = ld(c,b),
inference(demodulation,[status(thm)],[c_13423,c_109,c_10547]) ).
tcf(c_14367,plain,
! [X0: $i] : mult(mult(X0,c),mult(c,mult(rd(ld(c,iPr_def_12),c),c))) = mult(mult(X0,mult(c,ld(c,b))),c),
inference(superposition,[status(thm)],[c_13669,c_105]) ).
tcf(c_14581,plain,
! [X0: $i] : mult(mult(X0,b),c) = mult(mult(X0,c),iPr_def_12),
inference(demodulation,[status(thm)],[c_14367,c_112,c_110]) ).
tcf(c_14736,plain,
mult(mult(a,c),iPr_def_12) = mult(iPr_def_14,c),
inference(superposition,[status(thm)],[c_393,c_14581]) ).
tcf(c_14946,plain,
iPr_def_13 = iPr_def_15,
inference(demodulation,[status(thm)],[c_14736,c_394,c_396,c_397]) ).
tcf(c_14947,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14946,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.05/6.16 % Computer : n012.cluster.edu
% 0.05/6.16 % Model : x86_64 x86_64
% 0.05/6.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/6.16 % Memory : 8046.5625MB
% 0.05/6.16 % OS : Linux 6.8.0-71-generic
% 0.05/6.16 % CPULimit : 300
% 0.05/6.16 % WCLimit : 300
% 0.05/6.16 % DateTime : Wed Sep 23 15:44:33 UTC 2026
% 0.05/6.16 % CPUTime :
% 0.05/6.16 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.05/6.18 Running UEQ theorem proving
% 0.05/6.18 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
% 0.05/6.19
% 0.05/6.19 % ======== iProver multi-core TPTP/SMT =========
% 0.05/6.19
% 0.05/6.19 % Detected problem language: tptp
% 0.05/6.19 % Proving...
% 5.55/7.83 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 5.55/7.83 % SZS status Started for theBenchmark.p
% 5.55/7.83 % SZS status Unsatisfiable for theBenchmark.p
% 5.55/7.83
% 5.55/7.83 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.55/7.83
% 5.55/7.83 % ------ iProver source info
% 5.55/7.83
% 5.55/7.83 % git: date: 2026-07-19 20:42:38 +0200
% 5.55/7.83 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.55/7.83 % git: non_committed_changes: false
% 5.55/7.83
% 5.55/7.83 % ------ Parsing...% successful
% 5.55/7.83
% 5.55/7.83
% 5.55/7.83 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.55/7.83
% 5.55/7.83 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.55/7.83
% 5.55/7.83 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.55/7.83
% 5.55/7.83 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.55/7.83 % ------ Proving...
% 5.55/7.83 % ------ Problem Properties
% 5.55/7.83
% 5.55/7.83 %
% 5.55/7.83 % clauses 15
% 5.55/7.83 % conjectures 1
% 5.55/7.83 % EPR 1
% 5.55/7.83 % Horn 15
% 5.55/7.83 % unary 15
% 5.55/7.83 % binary 0
% 5.55/7.83 % lits 15
% 5.55/7.83 % lits eq 15
% 5.55/7.83 % fd_pure 0
% 5.55/7.83 % fd_pseudo 0
% 5.55/7.83 % fd_cond 0
% 5.55/7.83 % fd_pseudo_cond 0
% 5.55/7.83 % AC symbols 0
% 5.55/7.83
% 5.55/7.83 % ------ Input Options Time Limit: Unbounded
% 5.55/7.83
% 5.55/7.83
% 5.55/7.83 % ------
% 5.55/7.83 % Current options:
% 5.55/7.83 % ------
% 5.55/7.83
% 5.55/7.83
% 5.55/7.83 %
% 5.55/7.83
% 5.55/7.83 % ------ Proving...
% 5.55/7.83 %
% 5.55/7.83
% 5.55/7.83 % SZS status Unsatisfiable for theBenchmark.p
% 5.55/7.83
% 5.55/7.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.55/7.83
% 5.55/7.83
%------------------------------------------------------------------------------