TSTP Solution File: SEU292+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU292+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 14:35:55 EDT 2022
% Result : Theorem 201.08s 201.27s
% Output : Refutation 201.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of clauses : 28 ( 16 unt; 1 nHn; 28 RR)
% Number of literals : 57 ( 0 equ; 34 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
function(skc22),
file('SEU292+2.p',unknown),
[] ).
cnf(2,axiom,
relation(skc22),
file('SEU292+2.p',unknown),
[] ).
cnf(3,axiom,
function(skc19),
file('SEU292+2.p',unknown),
[] ).
cnf(53,axiom,
in(skc23,skc21),
file('SEU292+2.p',unknown),
[] ).
cnf(80,axiom,
~ equal(skc20,empty_set),
file('SEU292+2.p',unknown),
[] ).
cnf(81,axiom,
relation_of2_as_subset(skc19,skc21,skc20),
file('SEU292+2.p',unknown),
[] ).
cnf(82,axiom,
quasi_total(skc19,skc21,skc20),
file('SEU292+2.p',unknown),
[] ).
cnf(137,axiom,
( skP2(u,v)
| equal(v,empty_set) ),
file('SEU292+2.p',unknown),
[] ).
cnf(265,axiom,
( ~ element(u,powerset(cartesian_product2(v,w)))
| relation(u) ),
file('SEU292+2.p',unknown),
[] ).
cnf(287,axiom,
( ~ relation_of2_as_subset(u,v,w)
| relation_of2(u,v,w) ),
file('SEU292+2.p',unknown),
[] ).
cnf(418,axiom,
( ~ relation_of2_as_subset(u,v,w)
| element(u,powerset(cartesian_product2(v,w))) ),
file('SEU292+2.p',unknown),
[] ).
cnf(454,axiom,
~ equal(apply(relation_composition(skc19,skc22),skc23),apply(skc22,apply(skc19,skc23))),
file('SEU292+2.p',unknown),
[] ).
cnf(480,axiom,
( ~ relation_of2(u,v,w)
| equal(relation_dom_as_subset(v,w,u),relation_dom(u)) ),
file('SEU292+2.p',unknown),
[] ).
cnf(736,axiom,
( ~ skP2(u,v)
| ~ relation_of2_as_subset(w,u,v)
| ~ quasi_total(w,u,v)
| equal(relation_dom_as_subset(u,v,w),u) ),
file('SEU292+2.p',unknown),
[] ).
cnf(846,axiom,
( ~ relation(u)
| ~ function(u)
| ~ relation(v)
| ~ function(v)
| ~ in(w,relation_dom(u))
| equal(apply(relation_composition(u,v),w),apply(v,apply(u,w))) ),
file('SEU292+2.p',unknown),
[] ).
cnf(1727,plain,
( ~ skP2(skc21,skc20)
| ~ relation_of2_as_subset(skc19,skc21,skc20)
| equal(relation_dom_as_subset(skc21,skc20,skc19),skc21) ),
inference(res,[status(thm),theory(equality)],[82,736]),
[iquote('0:Res:82.0,736.0')] ).
cnf(1738,plain,
element(skc19,powerset(cartesian_product2(skc21,skc20))),
inference(res,[status(thm),theory(equality)],[81,418]),
[iquote('0:Res:81.0,418.0')] ).
cnf(1739,plain,
relation_of2(skc19,skc21,skc20),
inference(res,[status(thm),theory(equality)],[81,287]),
[iquote('0:Res:81.0,287.0')] ).
cnf(1760,plain,
skP2(u,skc20),
inference(res,[status(thm),theory(equality)],[137,80]),
[iquote('0:Res:137.0,80.0')] ).
cnf(1867,plain,
equal(relation_dom_as_subset(skc21,skc20,skc19),skc21),
inference(mrr,[status(thm)],[1727,1760,81]),
[iquote('0:MRR:1727.0,1727.1,1760.0,81.0')] ).
cnf(4811,plain,
relation(skc19),
inference(res,[status(thm),theory(equality)],[1738,265]),
[iquote('0:Res:1738.0,265.0')] ).
cnf(14814,plain,
( ~ relation_of2(skc19,skc21,skc20)
| equal(relation_dom(skc19),skc21) ),
inference(spr,[status(thm),theory(equality)],[480,1867]),
[iquote('0:SpR:480.1,1867.0')] ).
cnf(14816,plain,
equal(relation_dom(skc19),skc21),
inference(mrr,[status(thm)],[14814,1739]),
[iquote('0:MRR:14814.0,1739.0')] ).
cnf(57933,plain,
( ~ relation(skc19)
| ~ function(skc19)
| ~ relation(skc22)
| ~ function(skc22)
| ~ in(skc23,relation_dom(skc19))
| ~ equal(apply(skc22,apply(skc19,skc23)),apply(skc22,apply(skc19,skc23))) ),
inference(spl,[status(thm),theory(equality)],[846,454]),
[iquote('0:SpL:846.5,454.0')] ).
cnf(58114,plain,
( ~ relation(skc19)
| ~ function(skc19)
| ~ relation(skc22)
| ~ function(skc22)
| ~ in(skc23,relation_dom(skc19)) ),
inference(obv,[status(thm),theory(equality)],[57933]),
[iquote('0:Obv:57933.5')] ).
cnf(58115,plain,
( ~ relation(skc19)
| ~ function(skc19)
| ~ relation(skc22)
| ~ function(skc22)
| ~ in(skc23,skc21) ),
inference(rew,[status(thm),theory(equality)],[14816,58114]),
[iquote('0:Rew:14816.0,58114.4')] ).
cnf(58116,plain,
~ in(skc23,skc21),
inference(ssi,[status(thm)],[58115,1,2,3,4811]),
[iquote('0:SSi:58115.3,58115.2,58115.1,58115.0,1.0,2.0,1.0,2.0,3.0,4811.0,3.0,4811.0')] ).
cnf(58117,plain,
$false,
inference(mrr,[status(thm)],[58116,53]),
[iquote('0:MRR:58116.0,53.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU292+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 02:50:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 201.08/201.27
% 201.08/201.27 SPASS V 3.9
% 201.08/201.27 SPASS beiseite: Proof found.
% 201.08/201.27 % SZS status Theorem
% 201.08/201.27 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 201.08/201.27 SPASS derived 44602 clauses, backtracked 6705 clauses, performed 64 splits and kept 27310 clauses.
% 201.08/201.27 SPASS allocated 152865 KBytes.
% 201.08/201.27 SPASS spent 0:3:17.25 on the problem.
% 201.08/201.27 0:00:00.04 for the input.
% 201.08/201.27 0:0:40.38 for the FLOTTER CNF translation.
% 201.08/201.27 0:00:00.91 for inferences.
% 201.08/201.27 0:00:04.94 for the backtracking.
% 201.08/201.27 0:2:28.54 for the reduction.
% 201.08/201.27
% 201.08/201.27
% 201.08/201.27 Here is a proof with depth 2, length 28 :
% 201.08/201.27 % SZS output start Refutation
% See solution above
% 201.08/201.28 Formulae used in the proof : t21_funct_2 d1_funct_2 cc1_relset_1 redefinition_m2_relset_1 dt_m2_relset_1 redefinition_k4_relset_1 t23_funct_1
% 201.08/201.28
%------------------------------------------------------------------------------