%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP452-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 01:34:17 PM UTC 2026
% Result : Unsatisfiable 3.17s 1.29s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 63 ( 63 unt; 3 def)
% Number of atoms : 89 ( 62 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn 121 !; 0 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f5,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f4]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[],[f5]) ).
tcf(c_73,definition,
iPr_def_10 = inverse(b2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_74,definition,
iPr_def_11 = multiply(iPr_def_10,b2),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_75,definition,
iPr_def_12 = multiply(iPr_def_11,a2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_76,negated_conjecture,
iPr_def_12 != a2,
inference(demodulation,[status(thm)],[c_56,c_73,c_74,c_75]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_78,c_77]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(demodulation,[status(thm)],[c_79,c_77]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] : divide(inverse(divide(X0,X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_77,c_77]) ).
tcf(c_136,plain,
! [X0: $i] : divide(X0,iPr_def_10) = multiply(X0,b2),
inference(superposition,[status(thm)],[c_73,c_127]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] : divide(multiply(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_127,c_77]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_127,c_77]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(inverse(divide(X0,divide(inverse(divide(X1,X1)),X2)))),X2) = X0,
inference(superposition,[status(thm)],[c_77,c_128]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1) = divide(X2,X2),
inference(superposition,[status(thm)],[c_77,c_128]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1))),X2) = X3,
inference(superposition,[status(thm)],[c_128,c_128]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),X3))))) = divide(inverse(divide(X2,X1)),X3),
inference(superposition,[status(thm)],[c_128,c_128]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1) = divide(X2,X2),
inference(demodulation,[status(thm)],[c_141,c_127]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] : divide(inverse(inverse(divide(X0,inverse(X1)))),X1) = X0,
inference(demodulation,[status(thm)],[c_140,c_133]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] : divide(inverse(inverse(multiply(X0,X1))),X1) = X0,
inference(demodulation,[status(thm)],[c_154,c_127]) ).
tcf(c_166,plain,
divide(iPr_def_10,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_74,c_136]) ).
tcf(c_245,plain,
! [X0: $i] : divide(multiply(iPr_def_10,b2),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_73,c_137]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(multiply(X0,inverse(X1)))),X1) = X0,
inference(superposition,[status(thm)],[c_155,c_127]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_153,c_153]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1),X2) = inverse(inverse(X2)),
inference(superposition,[status(thm)],[c_153,c_138]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(inverse(multiply(X3,divide(inverse(X3),X4))),X4))),X2) = X1,
inference(superposition,[status(thm)],[c_153,c_147]) ).
tcf(c_411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X3))),X2) = inverse(multiply(X4,divide(inverse(X4),X1))),
inference(superposition,[status(thm)],[c_153,c_147]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),X3)),X2) = inverse(inverse(multiply(X3,X1))),
inference(superposition,[status(thm)],[c_155,c_147]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(X0,inverse(multiply(X1,divide(inverse(X1),divide(inverse(X2),divide(inverse(X0),X3))))))),X3) = inverse(divide(X2,divide(X4,X4))),
inference(superposition,[status(thm)],[c_153,c_148]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),X3)),X2) = inverse(divide(X4,divide(X3,divide(inverse(X4),X1)))),
inference(superposition,[status(thm)],[c_128,c_148]) ).
tcf(c_541,plain,
! [X0: $i] : divide(iPr_def_11,X0) = inverse(X0),
inference(demodulation,[status(thm)],[c_245,c_74]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))) = inverse(inverse(multiply(X1,X2))),
inference(demodulation,[status(thm)],[c_524,c_412]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(X0,divide(inverse(X0),X1))) = inverse(inverse(multiply(divide(X2,X2),X1))),
inference(demodulation,[status(thm)],[c_411,c_412]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i] : inverse(multiply(X0,divide(inverse(X0),X1))) = inverse(inverse(inverse(inverse(X1)))),
inference(demodulation,[status(thm)],[c_597,c_138]) ).
tcf(c_599,plain,
! [X0: $i] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[c_403,c_332,c_412]) ).
tcf(c_607,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(inverse(multiply(inverse(X0),X1))),X1) = inverse(divide(X0,divide(X2,X2))),
inference(demodulation,[status(thm)],[c_512,c_596,c_598,c_599]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,divide(X1,X1))) = inverse(X0),
inference(demodulation,[status(thm)],[c_607,c_155]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_331,c_127]) ).
tcf(c_950,plain,
! [X0: $i] : divide(X0,X0) = iPr_def_11,
inference(superposition,[status(thm)],[c_331,c_166]) ).
tcf(c_953,plain,
! [X0: $i] : divide(X0,X0) = inverse(iPr_def_11),
inference(superposition,[status(thm)],[c_331,c_541]) ).
tcf(c_963,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(inverse(inverse(X1)))) = divide(X0,X1),
inference(superposition,[status(thm)],[c_599,c_127]) ).
tcf(c_1012,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,X1)) = inverse(inverse(inverse(inverse(X0)))),
inference(superposition,[status(thm)],[c_608,c_599]) ).
tcf(c_1027,plain,
inverse(iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_953,c_950]) ).
tcf(c_1030,plain,
! [X0: $i] : multiply(inverse(X0),X0) = iPr_def_11,
inference(demodulation,[status(thm)],[c_936,c_950]) ).
tcf(c_1037,plain,
! [X0: $i] : inverse(inverse(inverse(inverse(X0)))) = divide(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_1012,c_950]) ).
tcf(c_1038,plain,
! [X0: $i] : divide(X0,iPr_def_11) = X0,
inference(demodulation,[status(thm)],[c_1037,c_599]) ).
tcf(c_1321,plain,
! [X0: $i] : inverse(inverse(multiply(X0,iPr_def_11))) = X0,
inference(superposition,[status(thm)],[c_1038,c_155]) ).
tcf(c_1367,plain,
! [X0: $i] : divide(X0,iPr_def_11) = multiply(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1027,c_963]) ).
tcf(c_1422,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_11)),X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1030,c_262]) ).
tcf(c_1450,plain,
! [X0: $i] : multiply(X0,iPr_def_11) = X0,
inference(demodulation,[status(thm)],[c_1367,c_1038]) ).
tcf(c_1451,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1321,c_1450]) ).
tcf(c_1469,plain,
! [X0: $i] : multiply(iPr_def_11,X0) = X0,
inference(demodulation,[status(thm)],[c_1422,c_1451]) ).
tcf(c_1765,plain,
a2 = iPr_def_12,
inference(superposition,[status(thm)],[c_1469,c_75]) ).
tcf(c_2111,plain,
$false,
inference(superposition,[status(thm)],[c_1765,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP452-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 14:52:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running UEQ theorem proving
% 0.10/0.41 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 3.17/1.29 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.17/1.29 % SZS status Started for theBenchmark.p
% 3.17/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.17/1.29
% 3.17/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.17/1.29
% 3.17/1.29 % ------ iProver source info
% 3.17/1.29
% 3.17/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.17/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.17/1.29 % git: non_committed_changes: false
% 3.17/1.29
% 3.17/1.29 % ------ Parsing...% successful
% 3.17/1.29
% 3.17/1.29
% 3.17/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.17/1.29
% 3.17/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.17/1.29
% 3.17/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.17/1.29
% 3.17/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.17/1.29 % ------ Proving...
% 3.17/1.29 % ------ Problem Properties
% 3.17/1.29
% 3.17/1.29 %
% 3.17/1.29 % clauses 7
% 3.17/1.29 % conjectures 1
% 3.17/1.29 % EPR 1
% 3.17/1.29 % Horn 7
% 3.17/1.29 % unary 7
% 3.17/1.29 % binary 0
% 3.17/1.29 % lits 7
% 3.17/1.29 % lits eq 7
% 3.17/1.29 % fd_pure 0
% 3.17/1.29 % fd_pseudo 0
% 3.17/1.29 % fd_cond 0
% 3.17/1.29 % fd_pseudo_cond 0
% 3.17/1.29 % AC symbols 0
% 3.17/1.29
% 3.17/1.29 % ------ Input Options Time Limit: Unbounded
% 3.17/1.29
% 3.17/1.29
% 3.17/1.29 % ------
% 3.17/1.29 % Current options:
% 3.17/1.29 % ------
% 3.17/1.29
% 3.17/1.29
% 3.17/1.29 %
% 3.17/1.29
% 3.17/1.29 % ------ Proving...
% 3.17/1.29 %
% 3.17/1.29
% 3.17/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.17/1.29
% 3.17/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.17/1.29
% 3.17/1.29
%------------------------------------------------------------------------------