%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 01:52:17 PM UTC 2026
% Result : Theorem 1.16s 1.27s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 5 !; 1 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f18,conjecture,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] : addition(X0,X0) = X0,
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] : addition(X0,X0) != X0,
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
sK0 != addition(sK0,sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
fof(f25,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
sK0 != addition(sK0,sK0),
inference(cnf_transformation,[],[f21]) ).
tcf(c_52,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f25]) ).
tcf(c_65,negated_conjecture,
addition(sK0,sK0) != sK0,
inference(cnf_transformation,[],[f38]) ).
tcf(c_87,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 18:48:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.16/1.27 % SZS status Started for theBenchmark.p
% 1.16/1.27 % SZS status Theorem for theBenchmark.p
% 1.16/1.27
% 1.16/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.16/1.27
% 1.16/1.27 % ------ iProver source info
% 1.16/1.27
% 1.16/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.16/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.16/1.27 % git: non_committed_changes: false
% 1.16/1.27
% 1.16/1.27 % ------ Parsing...
% 1.16/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_UEQ
% 1.16/1.27 %
% 1.16/1.27
% 1.16/1.27 % ------ Preprocessing...%
% 1.16/1.27
% 1.16/1.27 % SZS status Theorem for theBenchmark.p
% 1.16/1.27
% 1.16/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.16/1.27
% 1.16/1.27
%------------------------------------------------------------------------------