%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM484+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 : 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 02:25:13 PM UTC 2026
% Result : Theorem 1.22s 1.27s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
~ isPrime0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1725) ).
fof(f42,axiom,
isPrime0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1737) ).
fof(f198,plain,
~ isPrime0(xk),
inference(cnf_transformation,[],[f41]) ).
fof(f199,plain,
isPrime0(xk),
inference(cnf_transformation,[],[f42]) ).
tcf(c_119,plain,
~ isPrime0(xk),
inference(cnf_transformation,[],[f198]) ).
tcf(c_120,plain,
isPrime0(xk),
inference(cnf_transformation,[],[f199]) ).
tcf(c_122,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_119,c_120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM484+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 04:13:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 1.22/1.27 % SZS status Started for theBenchmark.p
% 1.22/1.27 % SZS status Theorem for theBenchmark.p
% 1.22/1.27
% 1.22/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.22/1.27
% 1.22/1.27 % ------ iProver source info
% 1.22/1.27
% 1.22/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.22/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.22/1.27 % git: non_committed_changes: false
% 1.22/1.27
% 1.22/1.27 % ------ Parsing...
% 1.22/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.22/1.27
% 1.22/1.27 % ------ Preprocessing...%
% 1.22/1.27
% 1.22/1.27 % SZS status Theorem for theBenchmark.p
% 1.22/1.27
% 1.22/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.22/1.27
% 1.22/1.27
%------------------------------------------------------------------------------