TSTP Solution File: SEU290+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU290+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 14:35:53 EDT 2022
% Result : Theorem 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 27 ( 14 unt; 1 nHn; 27 RR)
% Number of literals : 54 ( 0 equ; 32 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(skc14),
file('SEU290+1.p',unknown),
[] ).
cnf(29,axiom,
in(skc15,skc17),
file('SEU290+1.p',unknown),
[] ).
cnf(34,axiom,
quasi_total(skc14,skc17,skc16),
file('SEU290+1.p',unknown),
[] ).
cnf(35,axiom,
relation_of2_as_subset(skc14,skc17,skc16),
file('SEU290+1.p',unknown),
[] ).
cnf(36,axiom,
~ equal(skc16,empty_set),
file('SEU290+1.p',unknown),
[] ).
cnf(47,axiom,
( skP0(u,v)
| equal(v,empty_set) ),
file('SEU290+1.p',unknown),
[] ).
cnf(59,axiom,
~ in(apply(skc14,skc15),relation_rng(skc14)),
file('SEU290+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ element(u,powerset(cartesian_product2(v,w)))
| relation(u) ),
file('SEU290+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ relation_of2_as_subset(u,v,w)
| relation_of2(u,v,w) ),
file('SEU290+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ relation_of2_as_subset(u,v,w)
| element(u,powerset(cartesian_product2(v,w))) ),
file('SEU290+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ relation_of2(u,v,w)
| equal(relation_dom_as_subset(v,w,u),relation_dom(u)) ),
file('SEU290+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ skP0(u,v)
| ~ relation_of2_as_subset(w,u,v)
| ~ quasi_total(w,u,v)
| equal(relation_dom_as_subset(u,v,w),u) ),
file('SEU290+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ function(u)
| ~ relation(u)
| ~ in(v,relation_dom(u))
| ~ equal(w,relation_rng(u))
| ~ equal(x,apply(u,v))
| in(x,w) ),
file('SEU290+1.p',unknown),
[] ).
cnf(106,plain,
skP0(u,skc16),
inference(res,[status(thm),theory(equality)],[47,36]),
[iquote('0:Res:47.0,36.0')] ).
cnf(112,plain,
( ~ quasi_total(skc14,skc17,skc16)
| ~ skP0(skc17,skc16)
| equal(relation_dom_as_subset(skc17,skc16,skc14),skc17) ),
inference(res,[status(thm),theory(equality)],[35,84]),
[iquote('0:Res:35.0,84.2')] ).
cnf(114,plain,
element(skc14,powerset(cartesian_product2(skc17,skc16))),
inference(res,[status(thm),theory(equality)],[35,75]),
[iquote('0:Res:35.0,75.0')] ).
cnf(115,plain,
relation_of2(skc14,skc17,skc16),
inference(res,[status(thm),theory(equality)],[35,70]),
[iquote('0:Res:35.0,70.0')] ).
cnf(122,plain,
equal(relation_dom_as_subset(skc17,skc16,skc14),skc17),
inference(mrr,[status(thm)],[112,34,106]),
[iquote('0:MRR:112.0,112.1,34.0,106.0')] ).
cnf(186,plain,
relation(skc14),
inference(res,[status(thm),theory(equality)],[114,66]),
[iquote('0:Res:114.0,66.0')] ).
cnf(293,plain,
( ~ relation_of2(skc14,skc17,skc16)
| equal(relation_dom(skc14),skc17) ),
inference(spr,[status(thm),theory(equality)],[77,122]),
[iquote('0:SpR:77.1,122.0')] ).
cnf(295,plain,
equal(relation_dom(skc14),skc17),
inference(mrr,[status(thm)],[293,115]),
[iquote('0:MRR:293.0,115.0')] ).
cnf(477,plain,
( ~ function(u)
| ~ relation(u)
| ~ in(v,relation_dom(u))
| ~ equal(w,relation_rng(u))
| in(apply(u,v),w) ),
inference(eqr,[status(thm),theory(equality)],[89]),
[iquote('0:EqR:89.4')] ).
cnf(1661,plain,
( ~ function(skc14)
| ~ relation(skc14)
| ~ in(skc15,relation_dom(skc14))
| ~ equal(relation_rng(skc14),relation_rng(skc14)) ),
inference(res,[status(thm),theory(equality)],[477,59]),
[iquote('0:Res:477.4,59.0')] ).
cnf(1662,plain,
( ~ function(skc14)
| ~ relation(skc14)
| ~ in(skc15,relation_dom(skc14)) ),
inference(obv,[status(thm),theory(equality)],[1661]),
[iquote('0:Obv:1661.3')] ).
cnf(1663,plain,
( ~ function(skc14)
| ~ relation(skc14)
| ~ in(skc15,skc17) ),
inference(rew,[status(thm),theory(equality)],[295,1662]),
[iquote('0:Rew:295.0,1662.2')] ).
cnf(1664,plain,
~ in(skc15,skc17),
inference(ssi,[status(thm)],[1663,1,186]),
[iquote('0:SSi:1663.1,1663.0,1.0,186.0,1.0,186.0')] ).
cnf(1665,plain,
$false,
inference(mrr,[status(thm)],[1664,29]),
[iquote('0:MRR:1664.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU290+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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 : Sat Jun 18 23:35:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/0.59
% 0.42/0.59 SPASS V 3.9
% 0.42/0.59 SPASS beiseite: Proof found.
% 0.42/0.59 % SZS status Theorem
% 0.42/0.59 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59 SPASS derived 1303 clauses, backtracked 47 clauses, performed 3 splits and kept 685 clauses.
% 0.42/0.59 SPASS allocated 98951 KBytes.
% 0.42/0.59 SPASS spent 0:00:00.23 on the problem.
% 0.42/0.59 0:00:00.03 for the input.
% 0.42/0.59 0:00:00.04 for the FLOTTER CNF translation.
% 0.42/0.59 0:00:00.02 for inferences.
% 0.42/0.59 0:00:00.00 for the backtracking.
% 0.42/0.59 0:00:00.11 for the reduction.
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 Here is a proof with depth 2, length 27 :
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 Formulae used in the proof : t6_funct_2 d1_funct_2 cc1_relset_1 redefinition_m2_relset_1 dt_m2_relset_1 redefinition_k4_relset_1 d5_funct_1 antisymmetry_r2_hidden
% 0.42/0.59
%------------------------------------------------------------------------------