%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP592-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:34:48 PM UTC 2026
% Result : Unsatisfiable 1.89s 0.97s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?; 60 :)
% 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f4,plain,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference(definition_unfolding,[],[f3,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(a,b)) != inverse(double_divide(b,a)),
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_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_225,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_233,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_283,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_233,c_52]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_233,c_233]) ).
tcf(c_755,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_775,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(double_divide(X1,inverse(X1))))) = X0,
inference(demodulation,[status(thm)],[c_115,c_755]) ).
tcf(c_979,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_300,c_94]) ).
tcf(c_993,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_979,c_775]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_52,c_993]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_118,c_994]) ).
tcf(c_1075,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(inverse(double_divide(X1,inverse(X1))))) = inverse(X0),
inference(superposition,[status(thm)],[c_140,c_994]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_994,c_283]) ).
tcf(c_1109,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,inverse(X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_1081,c_994]) ).
tcf(c_1110,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1081,c_1109]) ).
tcf(c_1320,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(X0,inverse(X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_225,c_1075]) ).
tcf(c_1321,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X0))) = X1,
inference(light_normalisation,[status(thm)],[c_1320,c_1074]) ).
tcf(c_1333,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1110,c_1321]) ).
tcf(c_1345,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_994,c_1333]) ).
tcf(c_1358,plain,
inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
inference(demodulation,[status(thm)],[c_53,c_1345]) ).
tcf(c_1363,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1358]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP592-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Wed Sep 23 15:09:36 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.32 Running UEQ theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 1.89/0.97 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.89/0.97 % SZS status Started for theBenchmark.p
% 1.89/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 1.89/0.97
% 1.89/0.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.89/0.97
% 1.89/0.97 % ------ iProver source info
% 1.89/0.97
% 1.89/0.97 % git: date: 2026-07-19 20:42:38 +0200
% 1.89/0.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.89/0.97 % git: non_committed_changes: false
% 1.89/0.97
% 1.89/0.97 % ------ Parsing...% successful
% 1.89/0.97
% 1.89/0.97
% 1.89/0.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.89/0.97
% 1.89/0.97 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.89/0.97
% 1.89/0.97 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.89/0.97
% 1.89/0.97 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.89/0.97 % ------ Proving...
% 1.89/0.97 % ------ Problem Properties
% 1.89/0.97
% 1.89/0.97 %
% 1.89/0.97 % clauses 2
% 1.89/0.97 % conjectures 1
% 1.89/0.97 % EPR 0
% 1.89/0.97 % Horn 2
% 1.89/0.97 % unary 2
% 1.89/0.97 % binary 0
% 1.89/0.97 % lits 2
% 1.89/0.97 % lits eq 2
% 1.89/0.97 % fd_pure 0
% 1.89/0.97 % fd_pseudo 0
% 1.89/0.97 % fd_cond 0
% 1.89/0.97 % fd_pseudo_cond 0
% 1.89/0.97 % AC symbols 0
% 1.89/0.97
% 1.89/0.97 % ------ Input Options Time Limit: Unbounded
% 1.89/0.97
% 1.89/0.97
% 1.89/0.97 % ------
% 1.89/0.97 % Current options:
% 1.89/0.97 % ------
% 1.89/0.97
% 1.89/0.97
% 1.89/0.97 %
% 1.89/0.97
% 1.89/0.97 % ------ Proving...
% 1.89/0.97 %
% 1.89/0.97
% 1.89/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 1.89/0.97
% 1.89/0.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.89/0.97
% 1.89/0.97
%------------------------------------------------------------------------------