%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP020-1 : 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 : n004.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 01:29:55 PM UTC 2026
% Result : Unsatisfiable 1.60s 1.38s
% Output : CNFRefutation 1.60s
% 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(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
fof(f9,negated_conjecture,
multiply(inverse(a),a) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_X_times_X_is_id) ).
fof(f10,plain,
identity != multiply(inverse(a),a),
inference(reorient_equations,[],[f9]) ).
tcf(c_60,plain,
! [X0: $i] : product(inverse(X0),X0,identity),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,negated_conjecture,
multiply(inverse(a),a) != identity,
inference(cnf_transformation,[],[f10]) ).
tcf(c_74,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(well_definedness,[status(thm)],[c_60]) ).
tcf(c_94,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 % Computer : n004.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Wed Sep 23 13:15:21 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.47 Running first-order theorem proving
% 0.12/0.47 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
% 0.12/0.49
% 0.12/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.49
% 0.23/0.49 % Detected problem language: tptp
% 0.23/0.50 % Proving...
% 1.60/1.38 % SZS status Started for theBenchmark.p
% 1.60/1.38 % SZS status Unsatisfiable for theBenchmark.p
% 1.60/1.38
% 1.60/1.38 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.60/1.38
% 1.60/1.38 % ------ iProver source info
% 1.60/1.38
% 1.60/1.38 % git: date: 2026-07-19 20:42:38 +0200
% 1.60/1.38 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.60/1.38 % git: non_committed_changes: false
% 1.60/1.38
% 1.60/1.38 % ------ Parsing...% successful
% 1.60/1.38
% 1.60/1.38
% 1.60/1.38 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.60/1.38
% 1.60/1.38 % ------ Preprocessing...%
% 1.60/1.38
% 1.60/1.38 % SZS status Unsatisfiable for theBenchmark.p
% 1.60/1.38
% 1.60/1.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.38
% 1.60/1.38
%------------------------------------------------------------------------------