%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE076+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 01:52:20 PM UTC 2026
% Result : Theorem 1.92s 1.33s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 5 !; 1 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(f16,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain4) ).
fof(f18,conjecture,
! [X0] : domain(multiplication(X0,domain(zero))) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] : domain(multiplication(X0,domain(zero))) = zero,
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] : zero != domain(multiplication(X0,domain(zero))),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
zero != domain(multiplication(sK0,domain(zero))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
fof(f31,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f36,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
zero != domain(multiplication(sK0,domain(zero))),
inference(cnf_transformation,[],[f21]) ).
tcf(c_58,plain,
! [X0: $i] : multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f31]) ).
tcf(c_63,plain,
domain(zero) = zero,
inference(cnf_transformation,[],[f36]) ).
tcf(c_65,negated_conjecture,
domain(multiplication(sK0,domain(zero))) != zero,
inference(cnf_transformation,[],[f38]) ).
tcf(c_115,plain,
domain(multiplication(sK0,zero)) != zero,
inference(light_normalisation,[status(thm)],[c_65,c_63]) ).
tcf(c_116,plain,
zero != zero,
inference(demodulation,[status(thm)],[c_115,c_58,c_63]) ).
tcf(c_117,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE076+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 18:53:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.44
% 0.14/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.44
% 0.14/0.44 % Detected problem language: tptp
% 0.14/0.46 % Proving...
% 1.92/1.33 % SZS status Started for theBenchmark.p
% 1.92/1.33 % SZS status Theorem for theBenchmark.p
% 1.92/1.33
% 1.92/1.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.92/1.33
% 1.92/1.33 % ------ iProver source info
% 1.92/1.33
% 1.92/1.33 % git: date: 2026-07-19 20:42:38 +0200
% 1.92/1.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.92/1.33 % git: non_committed_changes: false
% 1.92/1.33
% 1.92/1.33 % ------ Parsing...
% 1.92/1.33 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_UEQ
% 1.92/1.33 %
% 1.92/1.33
% 1.92/1.33 % ------ Preprocessing...%
% 1.92/1.33
% 1.92/1.33 % SZS status Theorem for theBenchmark.p
% 1.92/1.33
% 1.92/1.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/1.33
% 1.92/1.33
%------------------------------------------------------------------------------