%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP587-1 : 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 : 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 01:34:47 PM UTC 2026
% Result : Unsatisfiable 3.19s 1.19s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of formulae : 58 ( 58 unt; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 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 : 137 ( 0 sgn 137 !; 0 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),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(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),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_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(inverse(double_divide(X1,inverse(X2))),inverse(double_divide(inverse(double_divide(double_divide(X0,X3),inverse(X1))),X3))))) = X2,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X3))),X2) = double_divide(X0,inverse(double_divide(inverse(X3),X1))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(X0,inverse(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(double_divide(X0,X2),inverse(X3))),X2))))) = double_divide(inverse(double_divide(double_divide(X3,X4),inverse(X1))),X4),
inference(superposition,[status(thm)],[c_52,c_95]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
inference(superposition,[status(thm)],[c_95,c_52]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),X1))),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c_104,c_104]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,inverse(double_divide(double_divide(double_divide(inverse(X1),X2),X2),inverse(X0)))) = X1,
inference(superposition,[status(thm)],[c_52,c_127]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),inverse(double_divide(inverse(X3),X1))))) = double_divide(inverse(double_divide(X0,inverse(X2))),inverse(X3)),
inference(superposition,[status(thm)],[c_127,c_95]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(double_divide(inverse(X2),X3)),X1))),X3),inverse(X0)) = X2,
inference(superposition,[status(thm)],[c_127,c_104]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(double_divide(inverse(X0),X1),X1),inverse(double_divide(X2,X3))) = double_divide(X2,inverse(double_divide(inverse(X0),X3))),
inference(superposition,[status(thm)],[c_145,c_52]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(double_divide(X2,inverse(double_divide(inverse(X0),X3)))),X1))) = double_divide(X2,X3),
inference(superposition,[status(thm)],[c_175,c_52]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),X2)))),X3) = double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X0,X2)),X3))),
inference(superposition,[status(thm)],[c_175,c_95]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,inverse(X0))),inverse(double_divide(X1,X2))) = double_divide(X1,X2),
inference(demodulation,[status(thm)],[c_225,c_154,c_228]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(X0,inverse(X0))),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_104,c_282]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),X1))),inverse(X2)),inverse(X0)) = double_divide(X3,inverse(X3)),
inference(superposition,[status(thm)],[c_289,c_155]) ).
tcf(c_335,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(light_normalisation,[status(thm)],[c_328,c_127]) ).
tcf(c_409,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_335,c_127]) ).
tcf(c_416,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X0))) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_335,c_289]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(inverse(X1),inverse(X0)))) = X1,
inference(superposition,[status(thm)],[c_409,c_155]) ).
tcf(c_796,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_416,c_462]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(double_divide(X0,X2),inverse(X3))),X2))))) = double_divide(inverse(X1),inverse(X3)),
inference(superposition,[status(thm)],[c_462,c_93]) ).
tcf(c_833,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_462,c_409]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(inverse(X0),double_divide(X1,inverse(X1))),inverse(X2)),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c_796,c_127]) ).
tcf(c_885,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X1)),inverse(X1)) = X0,
inference(light_normalisation,[status(thm)],[c_879,c_796]) ).
tcf(c_932,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_885,c_52]) ).
tcf(c_964,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(X1,inverse(X1)))) = inverse(X0),
inference(superposition,[status(thm)],[c_833,c_885]) ).
tcf(c_969,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_833,c_964]) ).
tcf(c_1087,plain,
! [X0: $i,X1: $i] : inverse(double_divide(double_divide(inverse(X0),X1),X1)) = X0,
inference(superposition,[status(thm)],[c_964,c_145]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_1087,c_885]) ).
tcf(c_1255,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(inverse(X0),X1))) = inverse(X1),
inference(superposition,[status(thm)],[c_969,c_932]) ).
tcf(c_1256,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(X1,inverse(X0)))) = inverse(X1),
inference(superposition,[status(thm)],[c_969,c_462]) ).
tcf(c_1777,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_1205,c_1256]) ).
tcf(c_1791,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X1)),inverse(inverse(X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_1256,c_1256]) ).
tcf(c_1794,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_1791,c_969]) ).
tcf(c_1801,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_1777]) ).
tcf(c_1824,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_969,c_1794]) ).
tcf(c_1842,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_1205,c_1824]) ).
tcf(c_1843,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),X1)) = double_divide(inverse(X1),X0),
inference(superposition,[status(thm)],[c_1255,c_1824]) ).
tcf(c_1852,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1824,c_1205]) ).
tcf(c_1949,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)),
inference(demodulation,[status(thm)],[c_1801,c_1843,c_1852]) ).
tcf(c_1952,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),X1)) = double_divide(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_1852,c_1777]) ).
tcf(c_1968,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(X0),X1),
inference(superposition,[status(thm)],[c_1852,c_1843]) ).
tcf(c_2008,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X0,X1)),
inference(superposition,[status(thm)],[c_969,c_1952]) ).
tcf(c_2011,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_1952,c_1952]) ).
tcf(c_2028,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1) = double_divide(inverse(X2),inverse(X0)),
inference(light_normalisation,[status(thm)],[c_100,c_815]) ).
tcf(c_2029,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(inverse(double_divide(X1,X0)),X2)) = inverse(double_divide(X2,X1)),
inference(demodulation,[status(thm)],[c_2028,c_1852,c_1968,c_2008]) ).
tcf(c_2038,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(double_divide(inverse(double_divide(X0,X1)),X2),X0)) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_1842,c_2029]) ).
tcf(c_2053,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,X1)),X2) = double_divide(X1,inverse(double_divide(X2,X0))),
inference(superposition,[status(thm)],[c_2029,c_1842]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X2)) = double_divide(X0,X1),
inference(light_normalisation,[status(thm)],[c_2038,c_2053]) ).
tcf(c_2429,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(inverse(X1),double_divide(X2,X0))) = double_divide(X1,X2),
inference(demodulation,[status(thm)],[c_2428,c_1852,c_2011]) ).
tcf(c_2459,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_2429,c_1842]) ).
tcf(c_2473,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(a3),double_divide(b3,c3)),
inference(demodulation,[status(thm)],[c_1949,c_2459]) ).
tcf(c_2474,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP587-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 15:09:20 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running UEQ theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 3.19/1.19 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.19/1.19 % SZS status Started for theBenchmark.p
% 3.19/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.19/1.19
% 3.19/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.19/1.19
% 3.19/1.19 % ------ iProver source info
% 3.19/1.19
% 3.19/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.19/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.19/1.19 % git: non_committed_changes: false
% 3.19/1.19
% 3.19/1.19 % ------ Parsing...% successful
% 3.19/1.19
% 3.19/1.19
% 3.19/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.19/1.19
% 3.19/1.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.19/1.19
% 3.19/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.19/1.19
% 3.19/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.19/1.19 % ------ Proving...
% 3.19/1.19 % ------ Problem Properties
% 3.19/1.19
% 3.19/1.19 %
% 3.19/1.19 % clauses 2
% 3.19/1.19 % conjectures 1
% 3.19/1.19 % EPR 0
% 3.19/1.19 % Horn 2
% 3.19/1.19 % unary 2
% 3.19/1.19 % binary 0
% 3.19/1.19 % lits 2
% 3.19/1.19 % lits eq 2
% 3.19/1.19 % fd_pure 0
% 3.19/1.19 % fd_pseudo 0
% 3.19/1.19 % fd_cond 0
% 3.19/1.19 % fd_pseudo_cond 0
% 3.19/1.19 % AC symbols 0
% 3.19/1.19
% 3.19/1.19 % ------ Input Options Time Limit: Unbounded
% 3.19/1.19
% 3.19/1.19
% 3.19/1.19 % ------
% 3.19/1.19 % Current options:
% 3.19/1.19 % ------
% 3.19/1.19
% 3.19/1.19
% 3.19/1.19 %
% 3.19/1.19
% 3.19/1.19 % ------ Proving...
% 3.19/1.19 %
% 3.19/1.19
% 3.19/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.19/1.19
% 3.19/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.19/1.19
% 3.19/1.19
%------------------------------------------------------------------------------