TSTP Solution File: SEU114+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU114+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:34:02 EDT 2022
% Result : Theorem 9.87s 10.04s
% Output : Refutation 9.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 28 ( 9 unt; 5 nHn; 28 RR)
% Number of literals : 62 ( 0 equ; 33 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 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,
finite(skc5),
file('SEU114+1.p',unknown),
[] ).
cnf(13,axiom,
cup_closed(finite_subsets(u)),
file('SEU114+1.p',unknown),
[] ).
cnf(14,axiom,
diff_closed(finite_subsets(u)),
file('SEU114+1.p',unknown),
[] ).
cnf(15,axiom,
preboolean(finite_subsets(u)),
file('SEU114+1.p',unknown),
[] ).
cnf(44,axiom,
subset(finite_subsets(u),powerset(u)),
file('SEU114+1.p',unknown),
[] ).
cnf(45,axiom,
~ equal(finite_subsets(skc5),powerset(skc5)),
file('SEU114+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ in(u,v)
| element(u,v) ),
file('SEU114+1.p',unknown),
[] ).
cnf(57,axiom,
( subset(u,v)
| in(skf8(v,u),u) ),
file('SEU114+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ element(u,powerset(v))
| subset(u,v) ),
file('SEU114+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ in(skf8(u,v),u)
| subset(w,u) ),
file('SEU114+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ finite(u)
| ~ element(v,powerset(u))
| finite(v) ),
file('SEU114+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ subset(u,v)
| ~ subset(v,u)
| equal(v,u) ),
file('SEU114+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ preboolean(u)
| ~ finite(v)
| ~ subset(v,w)
| ~ equal(u,finite_subsets(w))
| in(v,u) ),
file('SEU114+1.p',unknown),
[] ).
cnf(78,plain,
( ~ subset(finite_subsets(skc5),powerset(skc5))
| ~ subset(powerset(skc5),finite_subsets(skc5)) ),
inference(res,[status(thm),theory(equality)],[65,45]),
[iquote('0:Res:65.2,45.0')] ).
cnf(85,plain,
~ subset(powerset(skc5),finite_subsets(skc5)),
inference(mrr,[status(thm)],[78,44]),
[iquote('0:MRR:78.0,44.0')] ).
cnf(123,plain,
( ~ in(u,powerset(v))
| subset(u,v) ),
inference(res,[status(thm),theory(equality)],[53,58]),
[iquote('0:Res:53.1,58.0')] ).
cnf(136,plain,
( subset(powerset(u),v)
| subset(skf8(v,powerset(u)),u) ),
inference(res,[status(thm),theory(equality)],[57,123]),
[iquote('0:Res:57.1,123.0')] ).
cnf(182,plain,
( ~ finite(u)
| ~ in(v,powerset(u))
| finite(v) ),
inference(res,[status(thm),theory(equality)],[53,64]),
[iquote('0:Res:53.1,64.1')] ).
cnf(420,plain,
( ~ preboolean(finite_subsets(u))
| ~ finite(v)
| ~ subset(v,u)
| in(v,finite_subsets(u)) ),
inference(eqr,[status(thm),theory(equality)],[73]),
[iquote('0:EqR:73.3')] ).
cnf(421,plain,
( ~ finite(u)
| ~ subset(u,v)
| in(u,finite_subsets(v)) ),
inference(ssi,[status(thm)],[420,14,13,15]),
[iquote('0:SSi:420.0,14.0,13.0,15.0')] ).
cnf(644,plain,
( ~ finite(u)
| subset(powerset(u),v)
| finite(skf8(v,powerset(u))) ),
inference(res,[status(thm),theory(equality)],[57,182]),
[iquote('0:Res:57.1,182.1')] ).
cnf(738,plain,
( ~ finite(skf8(finite_subsets(u),v))
| ~ subset(skf8(finite_subsets(u),v),u)
| subset(w,finite_subsets(u)) ),
inference(res,[status(thm),theory(equality)],[421,60]),
[iquote('0:Res:421.2,60.0')] ).
cnf(3961,plain,
( ~ finite(u)
| ~ subset(skf8(finite_subsets(v),powerset(u)),v)
| subset(w,finite_subsets(v))
| subset(powerset(u),finite_subsets(v)) ),
inference(sor,[status(thm)],[738,644]),
[iquote('0:SoR:738.0,644.2')] ).
cnf(3971,plain,
( ~ finite(u)
| ~ subset(skf8(finite_subsets(v),powerset(u)),v)
| subset(powerset(u),finite_subsets(v)) ),
inference(con,[status(thm)],[3961]),
[iquote('0:Con:3961.2')] ).
cnf(21022,plain,
( ~ finite(u)
| subset(powerset(u),finite_subsets(u))
| subset(powerset(u),finite_subsets(u)) ),
inference(res,[status(thm),theory(equality)],[136,3971]),
[iquote('0:Res:136.1,3971.1')] ).
cnf(21028,plain,
( ~ finite(u)
| subset(powerset(u),finite_subsets(u)) ),
inference(obv,[status(thm),theory(equality)],[21022]),
[iquote('0:Obv:21022.1')] ).
cnf(21050,plain,
~ finite(skc5),
inference(res,[status(thm),theory(equality)],[21028,85]),
[iquote('0:Res:21028.1,85.0')] ).
cnf(21065,plain,
$false,
inference(ssi,[status(thm)],[21050,1]),
[iquote('0:SSi:21050.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU114+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 07:36:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.87/10.04
% 9.87/10.04 SPASS V 3.9
% 9.87/10.04 SPASS beiseite: Proof found.
% 9.87/10.04 % SZS status Theorem
% 9.87/10.04 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.87/10.04 SPASS derived 16949 clauses, backtracked 0 clauses, performed 0 splits and kept 7395 clauses.
% 9.87/10.04 SPASS allocated 115209 KBytes.
% 9.87/10.04 SPASS spent 0:00:09.43 on the problem.
% 9.87/10.04 0:00:00.03 for the input.
% 9.87/10.04 0:00:00.04 for the FLOTTER CNF translation.
% 9.87/10.04 0:00:00.21 for inferences.
% 9.87/10.04 0:00:00.00 for the backtracking.
% 9.87/10.04 0:00:09.00 for the reduction.
% 9.87/10.04
% 9.87/10.04
% 9.87/10.04 Here is a proof with depth 5, length 28 :
% 9.87/10.04 % SZS output start Refutation
% See solution above
% 9.87/10.04 Formulae used in the proof : t27_finsub_1 fc2_finsub_1 t26_finsub_1 t1_subset d3_tarski t3_subset cc2_finset_1 d10_xboole_0 d5_finsub_1
% 9.87/10.04
%------------------------------------------------------------------------------