%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP604-1 : 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 01:34:50 PM UTC 2026
% Result : Unsatisfiable 2.25s 0.98s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 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 : 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
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] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
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_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,double_divide(X2,X3)))))) = inverse(double_divide(inverse(double_divide(X2,X1)),X3)),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_92,c_52]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),double_divide(X1,X2)))) = X2,
inference(superposition,[status(thm)],[c_96,c_96]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,X1))) = double_divide(inverse(double_divide(X3,X2)),double_divide(X3,X0)),
inference(superposition,[status(thm)],[c_106,c_96]) ).
tcf(c_556,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,X1)),double_divide(X0,inverse(double_divide(X1,X2)))) = X2,
inference(superposition,[status(thm)],[c_118,c_96]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(inverse(double_divide(X2,double_divide(X3,double_divide(X3,X0)))),X1)))) = X2,
inference(superposition,[status(thm)],[c_118,c_52]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X0,X2))))) = X1,
inference(superposition,[status(thm)],[c_118,c_106]) ).
tcf(c_1201,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,inverse(inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X1,X2)))))) = X0,
inference(superposition,[status(thm)],[c_118,c_594]) ).
tcf(c_1601,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(inverse(double_divide(inverse(X1),X1))))) = X0,
inference(superposition,[status(thm)],[c_556,c_1201]) ).
tcf(c_1619,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X1,X2))))) = X0,
inference(superposition,[status(thm)],[c_118,c_1601]) ).
tcf(c_1965,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(double_divide(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_556,c_1619]) ).
tcf(c_1991,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,double_divide(inverse(double_divide(X1,X2)),double_divide(X1,X2)))) = X0,
inference(superposition,[status(thm)],[c_118,c_1965]) ).
tcf(c_2345,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,double_divide(inverse(X1),X1))) = X0,
inference(superposition,[status(thm)],[c_556,c_1991]) ).
tcf(c_2397,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,X1)))) = inverse(double_divide(inverse(X0),X2)),
inference(superposition,[status(thm)],[c_118,c_2345]) ).
tcf(c_2443,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),inverse(double_divide(X1,X0)))) = X1,
inference(superposition,[status(thm)],[c_2345,c_594]) ).
tcf(c_3395,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,double_divide(X2,X0)))))) = X1,
inference(demodulation,[status(thm)],[c_573,c_2397]) ).
tcf(c_3452,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,double_divide(X0,X1))) = inverse(X1),
inference(superposition,[status(thm)],[c_3395,c_1965]) ).
tcf(c_3646,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(inverse(double_divide(X0,X1)),X2)) = inverse(double_divide(X0,inverse(double_divide(X1,X2)))),
inference(superposition,[status(thm)],[c_556,c_3452]) ).
tcf(c_3666,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,X1)),double_divide(X0,inverse(X2))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_3452,c_556]) ).
tcf(c_3675,plain,
! [X0: $i,X1: $i] : inverse(double_divide(inverse(double_divide(X0,X1)),inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_3452,c_594]) ).
tcf(c_3684,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_556,c_3666]) ).
tcf(c_4021,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(double_divide(X1,inverse(X1))))) = X0,
inference(demodulation,[status(thm)],[c_3675,c_3646]) ).
tcf(c_4047,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_4021,c_2443]) ).
tcf(c_4159,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(X1,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_2443,c_4047]) ).
tcf(c_4910,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_4159,c_3684]) ).
tcf(c_4917,plain,
! [X0: $i,X1: $i] : inverse(double_divide(double_divide(X0,X1),X1)) = inverse(X0),
inference(demodulation,[status(thm)],[c_4159,c_4910]) ).
tcf(c_4992,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_4917,c_4047]) ).
tcf(c_5000,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_4992,c_4047]) ).
tcf(c_5060,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_3684,c_5000]) ).
tcf(c_5127,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_5060,c_3684]) ).
tcf(c_5133,plain,
inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
inference(demodulation,[status(thm)],[c_53,c_5127]) ).
tcf(c_5138,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_5133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP604-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Wed Sep 23 15:11:21 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.33 Running UEQ theorem proving
% 0.07/0.33 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
% 0.07/0.34
% 0.07/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.34
% 0.07/0.34 % Detected problem language: tptp
% 0.07/0.35 % Proving...
% 2.25/0.98 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.25/0.98 % SZS status Started for theBenchmark.p
% 2.25/0.98 % SZS status Unsatisfiable for theBenchmark.p
% 2.25/0.98
% 2.25/0.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.25/0.98
% 2.25/0.98 % ------ iProver source info
% 2.25/0.98
% 2.25/0.98 % git: date: 2026-07-19 20:42:38 +0200
% 2.25/0.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.25/0.98 % git: non_committed_changes: false
% 2.25/0.98
% 2.25/0.98 % ------ Parsing...% successful
% 2.25/0.98
% 2.25/0.98
% 2.25/0.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.25/0.98
% 2.25/0.98 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.25/0.98
% 2.25/0.98 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.25/0.98
% 2.25/0.98 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.25/0.98 % ------ Proving...
% 2.25/0.98 % ------ Problem Properties
% 2.25/0.98
% 2.25/0.98 %
% 2.25/0.98 % clauses 2
% 2.25/0.98 % conjectures 1
% 2.25/0.98 % EPR 0
% 2.25/0.98 % Horn 2
% 2.25/0.98 % unary 2
% 2.25/0.98 % binary 0
% 2.25/0.98 % lits 2
% 2.25/0.98 % lits eq 2
% 2.25/0.98 % fd_pure 0
% 2.25/0.98 % fd_pseudo 0
% 2.25/0.98 % fd_cond 0
% 2.25/0.98 % fd_pseudo_cond 0
% 2.25/0.98 % AC symbols 0
% 2.25/0.98
% 2.25/0.98 % ------ Input Options Time Limit: Unbounded
% 2.25/0.98
% 2.25/0.98
% 2.25/0.98 % ------
% 2.25/0.98 % Current options:
% 2.25/0.98 % ------
% 2.25/0.98
% 2.25/0.98
% 2.25/0.98 %
% 2.25/0.98
% 2.25/0.98 % ------ Proving...
% 2.25/0.98 %
% 2.25/0.98
% 2.25/0.98 % SZS status Unsatisfiable for theBenchmark.p
% 2.25/0.98
% 2.25/0.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.25/0.98
% 2.25/0.98
%------------------------------------------------------------------------------