%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP591-1 : 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 : n010.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 01:34:48 PM UTC 2026
% Result : Unsatisfiable 4.10s 1.17s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn 117 !; 0 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(X0))))),inverse(X3))))),X2) = X3,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(X0,inverse(X0))),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_52,c_94]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(double_divide(inverse(double_divide(X0,inverse(X0))),X1),inverse(X2))),X1) = X2,
inference(superposition,[status(thm)],[c_98,c_52]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(X0,inverse(X1))),inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_98,c_94]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(inverse(double_divide(X1,inverse(X1))))) = X0,
inference(superposition,[status(thm)],[c_98,c_118]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(X1,inverse(X0))),inverse(X2))))),inverse(X1)) = X2,
inference(superposition,[status(thm)],[c_118,c_52]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(double_divide(inverse(double_divide(X0,inverse(X1))),X2),inverse(X1))),X2) = X0,
inference(superposition,[status(thm)],[c_118,c_52]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(inverse(double_divide(X1,inverse(X1))))),inverse(double_divide(X0,inverse(X2)))) = X2,
inference(superposition,[status(thm)],[c_140,c_52]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X0))) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_140,c_98]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(double_divide(X0,X1),double_divide(X2,inverse(X2)))),X1) = X0,
inference(superposition,[status(thm)],[c_234,c_52]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_234,c_234]) ).
tcf(c_732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(double_divide(X0,inverse(X1)),inverse(double_divide(X0,inverse(X2))))) = double_divide(inverse(double_divide(double_divide(inverse(X2),X3),inverse(X1))),X3),
inference(superposition,[status(thm)],[c_52,c_143]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(double_divide(inverse(X0),X1),inverse(X2))),X1) = inverse(double_divide(X2,inverse(X0))),
inference(superposition,[status(thm)],[c_118,c_143]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(double_divide(X1,inverse(X1))))) = X0,
inference(demodulation,[status(thm)],[c_115,c_739]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(X1,inverse(X1))))),X2) = inverse(double_divide(double_divide(X3,X2),inverse(double_divide(X3,inverse(X0))))),
inference(superposition,[status(thm)],[c_304,c_94]) ).
tcf(c_1002,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))) = double_divide(X2,X1),
inference(light_normalisation,[status(thm)],[c_988,c_759]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_52,c_1002]) ).
tcf(c_1032,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_118,c_1003]) ).
tcf(c_1033,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(inverse(double_divide(X1,inverse(X1))))) = inverse(X0),
inference(superposition,[status(thm)],[c_140,c_1003]) ).
tcf(c_1039,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_1003,c_287]) ).
tcf(c_1047,plain,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),inverse(c3)),
inference(demodulation,[status(thm)],[c_53,c_1032]) ).
tcf(c_1128,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,inverse(X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_1039,c_1003]) ).
tcf(c_1129,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1039,c_1128]) ).
tcf(c_1290,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(X0,inverse(X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_226,c_1033]) ).
tcf(c_1291,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X0))) = X1,
inference(light_normalisation,[status(thm)],[c_1290,c_1032]) ).
tcf(c_1301,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1129,c_1291]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1003,c_1301]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_1301,c_1003]) ).
tcf(c_1324,plain,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != double_divide(double_divide(a3,b3),inverse(c3)),
inference(demodulation,[status(thm)],[c_1047,c_1313]) ).
tcf(c_1350,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)),
inference(demodulation,[status(thm)],[c_1324,c_1032,c_1313]) ).
tcf(c_1352,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),X1)) = double_divide(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_1313,c_1032]) ).
tcf(c_1358,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_1129,c_1032]) ).
tcf(c_1362,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(X1)),inverse(X2)) = inverse(double_divide(X2,double_divide(X1,inverse(X0)))),
inference(superposition,[status(thm)],[c_1032,c_1032]) ).
tcf(c_1492,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(inverse(X1),double_divide(double_divide(X1,inverse(X0)),inverse(X2)))) = X2,
inference(demodulation,[status(thm)],[c_142,c_1313,c_1362,c_1358]) ).
tcf(c_1511,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(inverse(X1),double_divide(double_divide(X1,X0),inverse(X2)))) = X2,
inference(superposition,[status(thm)],[c_1129,c_1492]) ).
tcf(c_1527,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X0,X1)),
inference(superposition,[status(thm)],[c_1129,c_1352]) ).
tcf(c_1528,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(inverse(X0),X1),inverse(X2)) = inverse(double_divide(double_divide(X0,inverse(X1)),X2)),
inference(superposition,[status(thm)],[c_1352,c_1352]) ).
tcf(c_1531,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(X0),X1),
inference(superposition,[status(thm)],[c_1352,c_1129]) ).
tcf(c_1586,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(inverse(X1))) = inverse(inverse(double_divide(X0,X1))),
inference(superposition,[status(thm)],[c_1527,c_1352]) ).
tcf(c_1848,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(inverse(X0),X1),double_divide(X0,inverse(X2))) = double_divide(inverse(X1),X2),
inference(demodulation,[status(thm)],[c_732,c_739,c_1129,c_1528,c_1531,c_1586]) ).
tcf(c_1869,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(inverse(inverse(X0)),X1),inverse(double_divide(X0,X2))) = double_divide(inverse(X1),X2),
inference(superposition,[status(thm)],[c_1527,c_1848]) ).
tcf(c_1883,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,X2))) = double_divide(inverse(X1),X2),
inference(light_normalisation,[status(thm)],[c_1869,c_1129]) ).
tcf(c_2682,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(X2))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_1511,c_1318]) ).
tcf(c_2919,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(X2)) = double_divide(inverse(X1),double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_1301,c_1883]) ).
tcf(c_3413,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(inverse(X1),double_divide(X2,X0))) = double_divide(X1,X2),
inference(light_normalisation,[status(thm)],[c_2682,c_2919]) ).
tcf(c_3441,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X1),double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_3413,c_1318]) ).
tcf(c_3455,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(a3),double_divide(b3,c3)),
inference(demodulation,[status(thm)],[c_1350,c_3441]) ).
tcf(c_3456,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_3455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP591-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Wed Sep 23 15:10:12 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39 Running UEQ theorem proving
% 0.11/0.39 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
% 0.11/0.40
% 0.11/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.40
% 0.11/0.40 % Detected problem language: tptp
% 0.11/0.41 % Proving...
% 4.10/1.17 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 4.10/1.17 % SZS status Started for theBenchmark.p
% 4.10/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.17
% 4.10/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.10/1.17
% 4.10/1.17 % ------ iProver source info
% 4.10/1.17
% 4.10/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 4.10/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.10/1.17 % git: non_committed_changes: false
% 4.10/1.17
% 4.10/1.17 % ------ Parsing...% successful
% 4.10/1.17
% 4.10/1.17
% 4.10/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.10/1.17
% 4.10/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.10/1.17
% 4.10/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.10/1.17
% 4.10/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.10/1.17 % ------ Proving...
% 4.10/1.17 % ------ Problem Properties
% 4.10/1.17
% 4.10/1.17 %
% 4.10/1.17 % clauses 2
% 4.10/1.17 % conjectures 1
% 4.10/1.17 % EPR 0
% 4.10/1.17 % Horn 2
% 4.10/1.17 % unary 2
% 4.10/1.17 % binary 0
% 4.10/1.17 % lits 2
% 4.10/1.17 % lits eq 2
% 4.10/1.17 % fd_pure 0
% 4.10/1.17 % fd_pseudo 0
% 4.10/1.17 % fd_cond 0
% 4.10/1.17 % fd_pseudo_cond 0
% 4.10/1.17 % AC symbols 0
% 4.10/1.17
% 4.10/1.17 % ------ Input Options Time Limit: Unbounded
% 4.10/1.17
% 4.10/1.17
% 4.10/1.17 % ------
% 4.10/1.17 % Current options:
% 4.10/1.17 % ------
% 4.10/1.17
% 4.10/1.17
% 4.10/1.17 %
% 4.10/1.17
% 4.10/1.17 % ------ Proving...
% 4.10/1.17 %
% 4.10/1.17
% 4.10/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.17
% 4.10/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.17
% 4.10/1.17
%------------------------------------------------------------------------------