%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 01:29:56 PM UTC 2026
% Result : Unsatisfiable 0.50s 12.12s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
fof(f9,negated_conjecture,
multiply(a,inverse(a)) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_X_times_inverse_X_is_id) ).
fof(f10,plain,
identity != multiply(a,inverse(a)),
inference(reorient_equations,[],[f9]) ).
tcf(c_61,plain,
! [X0: $i] : product(X0,inverse(X0),identity),
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,negated_conjecture,
multiply(a,inverse(a)) != identity,
inference(cnf_transformation,[],[f10]) ).
tcf(c_75,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = identity,
inference(well_definedness,[status(thm)],[c_61]) ).
tcf(c_96,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/11.21 % Computer : n008.cluster.edu
% 0.11/11.21 % Model : x86_64 x86_64
% 0.11/11.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/11.21 % Memory : 8046.5625MB
% 0.11/11.21 % OS : Linux 6.8.0-71-generic
% 0.11/11.21 % CPULimit : 300
% 0.11/11.21 % WCLimit : 300
% 0.11/11.21 % DateTime : Wed Sep 23 13:16:41 UTC 2026
% 0.11/11.21 % CPUTime :
% 0.11/11.21 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/11.25 Running first-order theorem proving
% 0.11/11.25 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/11.26
% 0.11/11.26 % ======== iProver multi-core TPTP/SMT =========
% 0.11/11.26
% 0.11/11.26 % Detected problem language: tptp
% 0.11/11.27 % Proving...
% 0.50/12.12 % SZS status Started for theBenchmark.p
% 0.50/12.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.50/12.12
% 0.50/12.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.50/12.12
% 0.50/12.12 % ------ iProver source info
% 0.50/12.12
% 0.50/12.12 % git: date: 2026-07-19 20:42:38 +0200
% 0.50/12.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.50/12.12 % git: non_committed_changes: false
% 0.50/12.12
% 0.50/12.12 % ------ Parsing...% successful
% 0.50/12.12
% 0.50/12.12
% 0.50/12.12 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.50/12.12
% 0.50/12.12 % ------ Preprocessing...%
% 0.50/12.12
% 0.50/12.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.50/12.12
% 0.50/12.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.50/12.12
% 0.50/12.12
%------------------------------------------------------------------------------