%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP599-1 : 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 : n017.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 01:34:49 PM UTC 2026
% Result : Unsatisfiable 3.20s 1.18s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 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 : 81 ( 0 sgn 81 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(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(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(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(X0,inverse(double_divide(double_divide(X1,X2),inverse(double_divide(inverse(X3),inverse(double_divide(X1,inverse(double_divide(inverse(X0),X2))))))))) = X3,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_95,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_52,c_52]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(inverse(inverse(X3)),X2))))),inverse(X0)))) = X3,
inference(superposition,[status(thm)],[c_94,c_94]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(inverse(X1),inverse(X0)))) = X1,
inference(demodulation,[status(thm)],[c_120,c_52]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_156,c_52]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_162,c_156]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))),inverse(X2)),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c_241,c_95]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),inverse(double_divide(X0,inverse(X2)))) = X2,
inference(superposition,[status(thm)],[c_241,c_52]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X1)),inverse(X1)) = X0,
inference(light_normalisation,[status(thm)],[c_266,c_241]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),inverse(X2)) = double_divide(inverse(X2),inverse(X0)),
inference(superposition,[status(thm)],[c_156,c_267]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(X0,inverse(X1))),inverse(X0)) = X1,
inference(demodulation,[status(thm)],[c_267,c_592]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,inverse(double_divide(X1,inverse(double_divide(inverse(X0),X2))))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_52,c_278]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(X1,inverse(X1)))) = inverse(X0),
inference(superposition,[status(thm)],[c_241,c_278]) ).
tcf(c_717,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_241,c_701]) ).
tcf(c_738,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_717,c_162]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_717,c_278]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_717,c_738]) ).
tcf(c_933,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_622,c_741]) ).
tcf(c_938,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_933]) ).
tcf(c_1090,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(X2))) = double_divide(X2,X1),
inference(demodulation,[status(thm)],[c_694,c_933]) ).
tcf(c_1097,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(inverse(X1))) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_808,c_1090]) ).
tcf(c_1106,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(X2))) = double_divide(X2,X1),
inference(superposition,[status(thm)],[c_717,c_1090]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_1097,c_717]) ).
tcf(c_1400,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_741,c_1399]) ).
tcf(c_1401,plain,
inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != double_divide(double_divide(a3,b3),inverse(c3)),
inference(demodulation,[status(thm)],[c_938,c_1399]) ).
tcf(c_1411,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_1399,c_1400]) ).
tcf(c_1431,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)),
inference(demodulation,[status(thm)],[c_1401,c_933,c_1399]) ).
tcf(c_2490,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X2))) = double_divide(X2,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_1400,c_1106]) ).
tcf(c_2491,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X2))) = double_divide(X2,double_divide(X0,X1)),
inference(superposition,[status(thm)],[c_1411,c_1106]) ).
tcf(c_3692,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X2),double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_717,c_2490]) ).
tcf(c_3708,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(b3),double_divide(a3,c3)),
inference(demodulation,[status(thm)],[c_1431,c_3692]) ).
tcf(c_3766,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_717,c_2491]) ).
tcf(c_3780,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(X1,X2)) = double_divide(X0,double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_2491,c_2490]) ).
tcf(c_3785,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(a3),double_divide(c3,b3)),
inference(demodulation,[status(thm)],[c_3708,c_3766]) ).
tcf(c_3786,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3785,c_3780]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP599-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n017.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 15:06:30 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running UEQ theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 3.20/1.18 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.20/1.18 % SZS status Started for theBenchmark.p
% 3.20/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.20/1.18
% 3.20/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.20/1.18
% 3.20/1.18 % ------ iProver source info
% 3.20/1.18
% 3.20/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.20/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.20/1.18 % git: non_committed_changes: false
% 3.20/1.18
% 3.20/1.18 % ------ Parsing...% successful
% 3.20/1.18
% 3.20/1.18
% 3.20/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.20/1.18
% 3.20/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.20/1.18
% 3.20/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.20/1.18
% 3.20/1.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.20/1.18 % ------ Proving...
% 3.20/1.18 % ------ Problem Properties
% 3.20/1.18
% 3.20/1.18 %
% 3.20/1.18 % clauses 2
% 3.20/1.18 % conjectures 1
% 3.20/1.18 % EPR 0
% 3.20/1.18 % Horn 2
% 3.20/1.18 % unary 2
% 3.20/1.18 % binary 0
% 3.20/1.18 % lits 2
% 3.20/1.18 % lits eq 2
% 3.20/1.18 % fd_pure 0
% 3.20/1.18 % fd_pseudo 0
% 3.20/1.18 % fd_cond 0
% 3.20/1.18 % fd_pseudo_cond 0
% 3.20/1.18 % AC symbols 0
% 3.20/1.18
% 3.20/1.18 % ------ Input Options Time Limit: Unbounded
% 3.20/1.18
% 3.20/1.18
% 3.20/1.18 % ------
% 3.20/1.18 % Current options:
% 3.20/1.18 % ------
% 3.20/1.18
% 3.20/1.18
% 3.20/1.18 %
% 3.20/1.18
% 3.20/1.18 % ------ Proving...
% 3.20/1.18 %
% 3.20/1.18
% 3.20/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.20/1.18
% 3.20/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.20/1.18
% 3.20/1.18
%------------------------------------------------------------------------------