%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV065+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 03:16:20 PM UTC 2026
% Result : Theorem 1.42s 1.26s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 61 ( 21 ~; 16 |; 22 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(f53,conjecture,
( ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10)
& leq(n0,n0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0006) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10)
& leq(n0,n0) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10)
& ( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,pv10)
| ~ leq(n0,n0) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv53)
& leq(n0,pv10)
& ( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,pv10)
| ~ leq(n0,n0) ) ),
inference(flattening,[],[f143]) ).
fof(f200,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f307,plain,
leq(pv53,minus(n5,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f308,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f309,plain,
leq(n0,pv53),
inference(cnf_transformation,[],[f144]) ).
fof(f310,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f144]) ).
fof(f311,plain,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,pv10)
| ~ leq(n0,n0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_52,plain,
! [X0: $i] : leq(X0,X0),
inference(cnf_transformation,[],[f200]) ).
tcf(c_157,negated_conjecture,
( ~ leq(n0,pv53)
| ~ leq(n0,pv10)
| ~ leq(n0,n0)
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1)) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_158,negated_conjecture,
leq(n0,pv10),
inference(cnf_transformation,[],[f310]) ).
tcf(c_159,negated_conjecture,
leq(n0,pv53),
inference(cnf_transformation,[],[f309]) ).
tcf(c_160,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f308]) ).
tcf(c_161,negated_conjecture,
leq(pv53,minus(n5,n1)),
inference(cnf_transformation,[],[f307]) ).
tcf(c_201,plain,
leq(n0,n0),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_250,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_157,c_160,c_161,c_201,c_158,c_159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV065+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 18:25:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 1.42/1.26 % SZS status Started for theBenchmark.p
% 1.42/1.26 % SZS status Theorem for theBenchmark.p
% 1.42/1.26
% 1.42/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.42/1.26
% 1.42/1.26 % ------ iProver source info
% 1.42/1.26
% 1.42/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.42/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.42/1.26 % git: non_committed_changes: false
% 1.42/1.26
% 1.42/1.26 % ------ Parsing...
% 1.42/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.42/1.26
% 1.42/1.26 % ------ Preprocessing...%
% 1.42/1.26
% 1.42/1.26 % SZS status Theorem for theBenchmark.p
% 1.42/1.26
% 1.42/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.42/1.26
% 1.42/1.26
%------------------------------------------------------------------------------