%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU303+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 14:36:04 EDT 2022
% Result : Theorem 66.30s 66.49s
% Output : Refutation 66.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 9 unt; 1 nHn; 19 RR)
% Number of literals : 38 ( 0 equ; 21 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc23),
file('SEU303+2.p',unknown),
[] ).
cnf(2,axiom,
function(skc23),
file('SEU303+2.p',unknown),
[] ).
cnf(68,axiom,
finite(relation_dom(skc23)),
file('SEU303+2.p',unknown),
[] ).
cnf(111,axiom,
~ finite(relation_rng(skc23)),
file('SEU303+2.p',unknown),
[] ).
cnf(160,axiom,
( skP7(u)
| in(u,omega) ),
file('SEU303+2.p',unknown),
[] ).
cnf(457,axiom,
( ~ relation(u)
| equal(relation_image(u,relation_dom(u)),relation_rng(u)) ),
file('SEU303+2.p',unknown),
[] ).
cnf(617,axiom,
( ~ relation(u)
| ~ function(u)
| ~ finite(v)
| finite(relation_image(u,v)) ),
file('SEU303+2.p',unknown),
[] ).
cnf(771,axiom,
( ~ function(u)
| ~ relation(u)
| ~ equal(relation_rng(u),v)
| ~ in(relation_dom(u),omega)
| finite(v) ),
file('SEU303+2.p',unknown),
[] ).
cnf(1224,plain,
( ~ relation(skc23)
| ~ equal(relation_rng(skc23),u)
| ~ in(relation_dom(skc23),omega)
| finite(u) ),
inference(res,[status(thm),theory(equality)],[2,771]),
[iquote('0:Res:2.0,771.1')] ).
cnf(1266,plain,
( ~ finite(u)
| ~ relation(skc23)
| finite(relation_image(skc23,u)) ),
inference(res,[status(thm),theory(equality)],[2,617]),
[iquote('0:Res:2.0,617.1')] ).
cnf(1587,plain,
equal(relation_image(skc23,relation_dom(skc23)),relation_rng(skc23)),
inference(res,[status(thm),theory(equality)],[1,457]),
[iquote('0:Res:1.0,457.0')] ).
cnf(1743,plain,
( ~ finite(u)
| finite(relation_image(skc23,u)) ),
inference(mrr,[status(thm)],[1266,1]),
[iquote('0:MRR:1266.1,1.0')] ).
cnf(1751,plain,
( ~ equal(relation_rng(skc23),u)
| ~ in(relation_dom(skc23),omega)
| finite(u) ),
inference(mrr,[status(thm)],[1224,1]),
[iquote('0:MRR:1224.0,1.0')] ).
cnf(2154,plain,
( ~ equal(relation_rng(skc23),relation_rng(skc23))
| ~ in(relation_dom(skc23),omega) ),
inference(res,[status(thm),theory(equality)],[1751,111]),
[iquote('0:Res:1751.2,111.0')] ).
cnf(2161,plain,
~ in(relation_dom(skc23),omega),
inference(obv,[status(thm),theory(equality)],[2154]),
[iquote('0:Obv:2154.0')] ).
cnf(3526,plain,
skP7(relation_dom(skc23)),
inference(res,[status(thm),theory(equality)],[160,2161]),
[iquote('0:Res:160.1,2161.0')] ).
cnf(3644,plain,
( ~ finite(relation_dom(skc23))
| finite(relation_rng(skc23)) ),
inference(spr,[status(thm),theory(equality)],[1587,1743]),
[iquote('0:SpR:1587.0,1743.1')] ).
cnf(3645,plain,
finite(relation_rng(skc23)),
inference(ssi,[status(thm)],[3644,68,3526]),
[iquote('0:SSi:3644.0,68.0,3526.0')] ).
cnf(3646,plain,
$false,
inference(mrr,[status(thm)],[3645,111]),
[iquote('0:MRR:3645.0,111.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU303+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 08:44:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 66.30/66.49
% 66.30/66.49 SPASS V 3.9
% 66.30/66.49 SPASS beiseite: Proof found.
% 66.30/66.49 % SZS status Theorem
% 66.30/66.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 66.30/66.49 SPASS derived 1801 clauses, backtracked 692 clauses, performed 16 splits and kept 2953 clauses.
% 66.30/66.49 SPASS allocated 159377 KBytes.
% 66.30/66.49 SPASS spent 0:01:06.08 on the problem.
% 66.30/66.49 0:00:00.04 for the input.
% 66.30/66.49 0:01:03.44 for the FLOTTER CNF translation.
% 66.30/66.49 0:00:00.01 for inferences.
% 66.30/66.49 0:00:00.08 for the backtracking.
% 66.30/66.49 0:00:01.74 for the reduction.
% 66.30/66.49
% 66.30/66.49
% 66.30/66.49 Here is a proof with depth 3, length 19 :
% 66.30/66.49 % SZS output start Refutation
% See solution above
% 66.30/66.49 Formulae used in the proof : t26_finset_1 s1_ordinal2__e18_27__finset_1 rc3_ordinal1 existence_m1_subset_1 reflexivity_r1_tarski t146_relat_1 t17_finset_1 d1_finset_1 rc4_funct_1
% 66.30/66.49
%------------------------------------------------------------------------------