%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWX089_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 03:32:39 PM UTC 2026
% Result : Theorem 1.27s 1.29s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 17 ~; 15 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-1 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f__integer__: $int > general ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(func_def_8,type,
sK0: general > $int ).
tff(func_def_9,type,
sK1: general > symbol ).
tff(f18,axiom,
( ( tp
=> tq )
& ( hp
=> hq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2_right_0) ).
tff(f19,conjecture,
( ( tp
=> tq )
& ( hp
=> hq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_left_0) ).
tff(f20,negated_conjecture,
~ ( ( tp
=> tq )
& ( hp
=> hq ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
tff(f46,plain,
( ( ~ tp
| tq )
& ( ~ hp
| hq ) ),
inference(ennf_transformation,[],[f18]) ).
tff(f47,plain,
( ( tp
& ~ tq )
| ( hp
& ~ hq ) ),
inference(ennf_transformation,[],[f20]) ).
tff(f72,plain,
( ~ tp
| tq ),
inference(cnf_transformation,[],[f46]) ).
tff(f73,plain,
( ~ hp
| hq ),
inference(cnf_transformation,[],[f46]) ).
tff(f74,plain,
( tp
| hp ),
inference(cnf_transformation,[],[f47]) ).
tff(f75,plain,
( ~ tq
| hp ),
inference(cnf_transformation,[],[f47]) ).
tff(f76,plain,
( tp
| ~ hq ),
inference(cnf_transformation,[],[f47]) ).
tff(f77,plain,
( ~ tq
| ~ hq ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_78,plain,
( hq
| ~ hp ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_79,plain,
( tq
| ~ tp ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_80,negated_conjecture,
( ~ hq
| ~ tq ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_81,negated_conjecture,
( tp
| ~ hq ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_82,negated_conjecture,
( hp
| ~ tq ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_83,negated_conjecture,
( hp
| tp ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_106,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_80,c_78,c_79,c_81,c_82,c_83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX089_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 23:19:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running TFA theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.27/1.29 % SZS status Started for theBenchmark.p
% 1.27/1.29 % SZS status Theorem for theBenchmark.p
% 1.27/1.29
% 1.27/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.27/1.29
% 1.27/1.29 % ------ iProver source info
% 1.27/1.29
% 1.27/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.27/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.27/1.29 % git: non_committed_changes: false
% 1.27/1.29
% 1.27/1.29 % ------ Parsing...
% 1.27/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.27/1.29
% 1.27/1.29 % ------ Preprocessing...%
% 1.27/1.29
% 1.27/1.29 % SZS status Theorem for theBenchmark.p
% 1.27/1.29
% 1.27/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.27/1.29
% 1.27/1.29
%------------------------------------------------------------------------------