%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU275+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 14:35:45 EDT 2022
% Result : Theorem 18.56s 18.75s
% Output : Refutation 18.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 13 RR)
% Number of literals : 26 ( 0 equ; 15 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ordinal(skc13),
file('SEU275+2.p',unknown),
[] ).
cnf(46,axiom,
relation(inclusion_relation(u)),
file('SEU275+2.p',unknown),
[] ).
cnf(57,axiom,
reflexive(inclusion_relation(u)),
file('SEU275+2.p',unknown),
[] ).
cnf(60,axiom,
transitive(inclusion_relation(u)),
file('SEU275+2.p',unknown),
[] ).
cnf(63,axiom,
antisymmetric(inclusion_relation(u)),
file('SEU275+2.p',unknown),
[] ).
cnf(64,axiom,
~ well_ordering(inclusion_relation(skc13)),
file('SEU275+2.p',unknown),
[] ).
cnf(132,axiom,
( ~ ordinal(u)
| connected(inclusion_relation(u)) ),
file('SEU275+2.p',unknown),
[] ).
cnf(135,axiom,
( ~ ordinal(u)
| well_founded_relation(inclusion_relation(u)) ),
file('SEU275+2.p',unknown),
[] ).
cnf(584,axiom,
( ~ relation(u)
| ~ well_founded_relation(u)
| ~ connected(u)
| ~ antisymmetric(u)
| ~ transitive(u)
| ~ reflexive(u)
| well_ordering(u) ),
file('SEU275+2.p',unknown),
[] ).
cnf(802,plain,
connected(inclusion_relation(skc13)),
inference(res,[status(thm),theory(equality)],[1,132]),
[iquote('0:Res:1.0,132.0')] ).
cnf(803,plain,
well_founded_relation(inclusion_relation(skc13)),
inference(res,[status(thm),theory(equality)],[1,135]),
[iquote('0:Res:1.0,135.0')] ).
cnf(816,plain,
( ~ reflexive(inclusion_relation(skc13))
| ~ transitive(inclusion_relation(skc13))
| ~ antisymmetric(inclusion_relation(skc13))
| ~ connected(inclusion_relation(skc13))
| ~ well_founded_relation(inclusion_relation(skc13))
| ~ relation(inclusion_relation(skc13)) ),
inference(res,[status(thm),theory(equality)],[584,64]),
[iquote('0:Res:584.6,64.0')] ).
cnf(820,plain,
$false,
inference(mrr,[status(thm)],[816,57,60,63,802,803,46]),
[iquote('0:MRR:816.0,816.1,816.2,816.3,816.4,816.5,57.0,60.0,63.0,802.0,803.0,46.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SEU275+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.09 % Command : run_spass %d %s
% 0.08/0.28 % Computer : n028.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sun Jun 19 03:06:14 EDT 2022
% 0.08/0.28 % CPUTime :
% 18.56/18.75
% 18.56/18.75 SPASS V 3.9
% 18.56/18.75 SPASS beiseite: Proof found.
% 18.56/18.75 % SZS status Theorem
% 18.56/18.75 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.56/18.75 SPASS derived 44 clauses, backtracked 0 clauses, performed 0 splits and kept 720 clauses.
% 18.56/18.75 SPASS allocated 126394 KBytes.
% 18.56/18.75 SPASS spent 0:0:18.43 on the problem.
% 18.56/18.75 0:00:00.03 for the input.
% 18.56/18.75 0:0:18.06 for the FLOTTER CNF translation.
% 18.56/18.75 0:00:00.00 for inferences.
% 18.56/18.75 0:00:00.00 for the backtracking.
% 18.56/18.75 0:00:00.22 for the reduction.
% 18.56/18.75
% 18.56/18.75
% 18.56/18.75 Here is a proof with depth 1, length 13 :
% 18.56/18.75 % SZS output start Refutation
% See solution above
% 18.56/18.75 Formulae used in the proof : t7_wellord2 dt_k1_wellord2 t2_wellord2 t3_wellord2 t5_wellord2 t4_wellord2 t6_wellord2 d4_wellord1
% 18.56/18.75
%------------------------------------------------------------------------------