%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP581-1 : 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 : 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 01:34:46 PM UTC 2026
% Result : Unsatisfiable 0.89s 1.06s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 13 ( 0 sgn 13 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f6,plain,
identity != multiply(inverse(a1),a1),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,plain,
identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
inference(definition_unfolding,[],[f6,f2,f3]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,identity)) = identity,
inference(cnf_transformation,[],[f7]) ).
tcf(c_56,negated_conjecture,
double_divide(double_divide(a1,double_divide(a1,identity)),identity) != identity,
inference(cnf_transformation,[],[f8]) ).
tcf(c_65,plain,
double_divide(identity,identity) != identity,
inference(demodulation,[status(thm)],[c_56,c_55]) ).
tcf(c_96,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_106,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_55,c_96]) ).
tcf(c_109,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_106,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP581-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/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 15:07:51 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running UEQ theorem proving
% 0.03/0.32 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
% 0.06/0.33
% 0.06/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.06/0.33
% 0.06/0.33 % Detected problem language: tptp
% 0.06/0.34 % Proving...
% 0.89/1.06 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.89/1.06 % SZS status Started for theBenchmark.p
% 0.89/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 0.89/1.06
% 0.89/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.89/1.06
% 0.89/1.06 % ------ iProver source info
% 0.89/1.06
% 0.89/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 0.89/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.89/1.06 % git: non_committed_changes: false
% 0.89/1.06
% 0.89/1.06 % ------ Parsing...% successful
% 0.89/1.06
% 0.89/1.06
% 0.89/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.89/1.06
% 0.89/1.06 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.89/1.06
% 0.89/1.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.89/1.06
% 0.89/1.06 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.89/1.06 % ------ Proving...
% 0.89/1.06 % ------ Problem Properties
% 0.89/1.06
% 0.89/1.06 %
% 0.89/1.06 % clauses 3
% 0.89/1.06 % conjectures 0
% 0.89/1.06 % EPR 0
% 0.89/1.06 % Horn 3
% 0.89/1.06 % unary 3
% 0.89/1.06 % binary 0
% 0.89/1.06 % lits 3
% 0.89/1.06 % lits eq 3
% 0.89/1.06 % fd_pure 0
% 0.89/1.06 % fd_pseudo 0
% 0.89/1.06 % fd_cond 0
% 0.89/1.06 % fd_pseudo_cond 0
% 0.89/1.06 % AC symbols 0
% 0.89/1.06
% 0.89/1.06 % ------ Input Options Time Limit: Unbounded
% 0.89/1.06
% 0.89/1.06
% 0.89/1.06 % ------
% 0.89/1.06 % Current options:
% 0.89/1.06 % ------
% 0.89/1.06
% 0.89/1.06
% 0.89/1.06 %
% 0.89/1.06
% 0.89/1.06 % ------ Proving...
% 0.89/1.06 %
% 0.89/1.06
% 0.89/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 0.89/1.06
% 0.89/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.89/1.06
% 0.89/1.06
%------------------------------------------------------------------------------