TSTP Solution File: SEU354+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU354+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 14:36:33 EDT 2022
% Result : Theorem 137.67s 137.88s
% Output : Refutation 137.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 17 unt; 1 nHn; 28 RR)
% Number of literals : 40 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(180,axiom,
element(skc38,powerset(skc37)),
file('SEU354+2.p',unknown),
[] ).
cnf(259,axiom,
element(skf464(u),powerset(u)),
file('SEU354+2.p',unknown),
[] ).
cnf(266,axiom,
equal(powerset(u),k1_pcomps_1(u)),
file('SEU354+2.p',unknown),
[] ).
cnf(290,axiom,
equal(union(powerset(u)),u),
file('SEU354+2.p',unknown),
[] ).
cnf(343,axiom,
~ proper_element(skf464(u),powerset(u)),
file('SEU354+2.p',unknown),
[] ).
cnf(472,axiom,
( ~ equal(skc38,skc37)
| proper_element(skc38,powerset(skc37)) ),
file('SEU354+2.p',unknown),
[] ).
cnf(473,axiom,
( ~ proper_element(skc38,powerset(skc37))
| equal(skc38,skc37) ),
file('SEU354+2.p',unknown),
[] ).
cnf(773,axiom,
( ~ element(u,v)
| proper_element(u,v)
| equal(u,union(v)) ),
file('SEU354+2.p',unknown),
[] ).
cnf(1720,plain,
element(skc38,k1_pcomps_1(skc37)),
inference(rew,[status(thm),theory(equality)],[266,180]),
[iquote('0:Rew:266.0,180.0')] ).
cnf(1725,plain,
equal(union(k1_pcomps_1(u)),u),
inference(rew,[status(thm),theory(equality)],[266,290]),
[iquote('0:Rew:266.0,290.0')] ).
cnf(1728,plain,
element(skf464(u),k1_pcomps_1(u)),
inference(rew,[status(thm),theory(equality)],[266,259]),
[iquote('0:Rew:266.0,259.0')] ).
cnf(1743,plain,
~ proper_element(skf464(u),k1_pcomps_1(u)),
inference(rew,[status(thm),theory(equality)],[266,343]),
[iquote('0:Rew:266.0,343.0')] ).
cnf(1773,plain,
( ~ proper_element(skc38,k1_pcomps_1(skc37))
| equal(skc38,skc37) ),
inference(rew,[status(thm),theory(equality)],[266,473]),
[iquote('0:Rew:266.0,473.0')] ).
cnf(1774,plain,
( ~ equal(skc38,skc37)
| proper_element(skc38,k1_pcomps_1(skc37)) ),
inference(rew,[status(thm),theory(equality)],[266,472]),
[iquote('0:Rew:266.0,472.1')] ).
cnf(2294,plain,
equal(skc38,skc37),
inference(spt,[spt(split,[position(s1)])],[1773]),
[iquote('1:Spt:1773.1')] ).
cnf(2295,plain,
( ~ equal(skc38,skc37)
| proper_element(skc37,k1_pcomps_1(skc37)) ),
inference(rew,[status(thm),theory(equality)],[2294,1774]),
[iquote('1:Rew:2294.0,1774.1')] ).
cnf(2366,plain,
( ~ equal(skc37,skc37)
| proper_element(skc37,k1_pcomps_1(skc37)) ),
inference(rew,[status(thm),theory(equality)],[2294,2295]),
[iquote('1:Rew:2294.0,2295.0')] ).
cnf(2367,plain,
proper_element(skc37,k1_pcomps_1(skc37)),
inference(obv,[status(thm),theory(equality)],[2366]),
[iquote('1:Obv:2366.0')] ).
cnf(10523,plain,
( ~ element(skf464(u),k1_pcomps_1(u))
| equal(union(k1_pcomps_1(u)),skf464(u)) ),
inference(res,[status(thm),theory(equality)],[773,1743]),
[iquote('0:Res:773.1,1743.0')] ).
cnf(10525,plain,
( ~ element(skf464(u),k1_pcomps_1(u))
| equal(skf464(u),u) ),
inference(rew,[status(thm),theory(equality)],[1725,10523]),
[iquote('0:Rew:1725.0,10523.1')] ).
cnf(10526,plain,
equal(skf464(u),u),
inference(mrr,[status(thm)],[10525,1728]),
[iquote('0:MRR:10525.0,1728.0')] ).
cnf(10554,plain,
~ proper_element(u,k1_pcomps_1(u)),
inference(rew,[status(thm),theory(equality)],[10526,1743]),
[iquote('0:Rew:10526.0,1743.0')] ).
cnf(10599,plain,
$false,
inference(unc,[status(thm)],[10554,2367]),
[iquote('1:UnC:10554.0,2367.0')] ).
cnf(10602,plain,
~ equal(skc38,skc37),
inference(spt,[spt(split,[position(sa)])],[10599,2294]),
[iquote('1:Spt:10599.0,1773.1,2294.0')] ).
cnf(10603,plain,
~ proper_element(skc38,k1_pcomps_1(skc37)),
inference(spt,[spt(split,[position(s2)])],[1773]),
[iquote('1:Spt:10599.0,1773.0')] ).
cnf(10679,plain,
( ~ element(skc38,k1_pcomps_1(skc37))
| equal(union(k1_pcomps_1(skc37)),skc38) ),
inference(res,[status(thm),theory(equality)],[773,10603]),
[iquote('1:Res:773.1,10603.0')] ).
cnf(10680,plain,
( ~ element(skc38,k1_pcomps_1(skc37))
| equal(skc38,skc37) ),
inference(rew,[status(thm),theory(equality)],[1725,10679]),
[iquote('1:Rew:1725.0,10679.1')] ).
cnf(10681,plain,
$false,
inference(mrr,[status(thm)],[10680,1720,10602]),
[iquote('1:MRR:10680.0,10680.1,1720.0,10602.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU354+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.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 11:15:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 137.67/137.88
% 137.67/137.88 SPASS V 3.9
% 137.67/137.88 SPASS beiseite: Proof found.
% 137.67/137.88 % SZS status Theorem
% 137.67/137.88 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 137.67/137.88 SPASS derived 7942 clauses, backtracked 333 clauses, performed 26 splits and kept 6543 clauses.
% 137.67/137.88 SPASS allocated 185186 KBytes.
% 137.67/137.88 SPASS spent 0:2:17.35 on the problem.
% 137.67/137.88 0:00:00.05 for the input.
% 137.67/137.88 0:2:11.89 for the FLOTTER CNF translation.
% 137.67/137.88 0:00:00.15 for inferences.
% 137.67/137.88 0:00:00.03 for the backtracking.
% 137.67/137.88 0:00:04.46 for the reduction.
% 137.67/137.88
% 137.67/137.88
% 137.67/137.88 Here is a proof with depth 2, length 28 :
% 137.67/137.88 % SZS output start Refutation
% See solution above
% 137.67/137.88 Formulae used in the proof : t5_tex_2 rc2_tex_2 redefinition_k1_pcomps_1 t99_zfmisc_1 d2_tex_2
% 137.67/137.88
%------------------------------------------------------------------------------