%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 02:38:10 PM UTC 2026
% Result : Unsatisfiable 0.50s 1.49s
% 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 : 19 ( 6 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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; 2 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG004-0.ax',left_alternative) ).
fof(f24,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X0) != multiply(X0,multiply(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',middle_law) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),X0) != multiply(X0,multiply(X1,X0)),
inference(cnf_transformation,[],[f24]) ).
tcf(c_105,plain,
multiply(multiply(additive_identity,additive_identity),additive_identity) = multiply(additive_identity,multiply(additive_identity,additive_identity)),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_106,plain,
multiply(multiply(additive_identity,additive_identity),additive_identity) != multiply(additive_identity,multiply(additive_identity,additive_identity)),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_107,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_106,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.58 % Computer : n005.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Thu Sep 24 07:44:18 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.63 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 0.50/1.49 % SZS status Started for theBenchmark.p
% 0.50/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.50/1.49
% 0.50/1.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.50/1.49
% 0.50/1.49 % ------ iProver source info
% 0.50/1.49
% 0.50/1.49 % git: date: 2026-07-19 20:42:38 +0200
% 0.50/1.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.50/1.49 % git: non_committed_changes: false
% 0.50/1.49
% 0.50/1.49 % ------ Parsing...% successful
% 0.50/1.49
% 0.50/1.49
% 0.50/1.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.50/1.49
% 0.50/1.49 % ------ Preprocessing...%
% 0.50/1.49
% 0.50/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.50/1.49
% 0.50/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.50/1.49
% 0.50/1.49
%------------------------------------------------------------------------------