TSTP Solution File: SEU317+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU317+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 14:36:12 EDT 2022
% Result : Theorem 15.13s 15.32s
% Output : Refutation 15.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 8 unt; 10 nHn; 25 RR)
% Number of literals : 65 ( 0 equ; 32 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
top_str(skc5),
file('SEU317+1.p',unknown),
[] ).
cnf(17,axiom,
subset(u,u),
file('SEU317+1.p',unknown),
[] ).
cnf(20,axiom,
element(skc6,powerset(the_carrier(skc5))),
file('SEU317+1.p',unknown),
[] ).
cnf(33,axiom,
~ subset(skc6,topstr_closure(skc5,skc6)),
file('SEU317+1.p',unknown),
[] ).
cnf(34,axiom,
~ in(skf5(u,v),u),
file('SEU317+1.p',unknown),
[] ).
cnf(40,axiom,
( subset(u,v)
| in(skf5(v,u),u) ),
file('SEU317+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ element(u,powerset(v))
| subset(u,v) ),
file('SEU317+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ in(u,v)
| ~ subset(v,w)
| in(u,w) ),
file('SEU317+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ top_str(u)
| ~ in(v,the_carrier(u))
| ~ element(w,powerset(the_carrier(u)))
| in(v,topstr_closure(u,w))
| subset(w,skf9(v,w,u)) ),
file('SEU317+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ top_str(u)
| ~ in(v,the_carrier(u))
| ~ element(w,powerset(the_carrier(u)))
| ~ in(v,skf9(v,w,u))
| in(v,topstr_closure(u,w)) ),
file('SEU317+1.p',unknown),
[] ).
cnf(123,plain,
( ~ top_str(skc5)
| ~ in(u,the_carrier(skc5))
| subset(skc6,skf9(u,skc6,skc5))
| in(u,topstr_closure(skc5,skc6)) ),
inference(res,[status(thm),theory(equality)],[20,80]),
[iquote('0:Res:20.0,80.1')] ).
cnf(126,plain,
( ~ top_str(skc5)
| ~ in(u,skf9(u,skc6,skc5))
| ~ in(u,the_carrier(skc5))
| in(u,topstr_closure(skc5,skc6)) ),
inference(res,[status(thm),theory(equality)],[20,82]),
[iquote('0:Res:20.0,82.2')] ).
cnf(127,plain,
subset(skc6,the_carrier(skc5)),
inference(res,[status(thm),theory(equality)],[20,41]),
[iquote('0:Res:20.0,41.0')] ).
cnf(135,plain,
( ~ in(u,the_carrier(skc5))
| in(u,topstr_closure(skc5,skc6))
| subset(skc6,skf9(u,skc6,skc5)) ),
inference(mrr,[status(thm)],[123,1]),
[iquote('0:MRR:123.0,1.0')] ).
cnf(136,plain,
( ~ in(u,the_carrier(skc5))
| ~ in(u,skf9(u,skc6,skc5))
| in(u,topstr_closure(skc5,skc6)) ),
inference(mrr,[status(thm)],[126,1]),
[iquote('0:MRR:126.0,1.0')] ).
cnf(593,plain,
( ~ subset(u,v)
| subset(u,w)
| in(skf5(w,u),v) ),
inference(res,[status(thm),theory(equality)],[40,76]),
[iquote('0:Res:40.1,76.0')] ).
cnf(2453,plain,
( ~ subset(u,v)
| ~ subset(v,w)
| subset(u,x)
| in(skf5(x,u),w) ),
inference(res,[status(thm),theory(equality)],[593,76]),
[iquote('0:Res:593.2,76.0')] ).
cnf(2797,plain,
( ~ subset(u,skf9(skf5(v,u),skc6,skc5))
| ~ in(skf5(v,u),the_carrier(skc5))
| subset(u,v)
| in(skf5(v,u),topstr_closure(skc5,skc6)) ),
inference(res,[status(thm),theory(equality)],[593,136]),
[iquote('0:Res:593.2,136.1')] ).
cnf(9938,plain,
( ~ subset(the_carrier(skc5),u)
| subset(skc6,v)
| in(skf5(v,skc6),u) ),
inference(res,[status(thm),theory(equality)],[127,2453]),
[iquote('0:Res:127.0,2453.0')] ).
cnf(12419,plain,
( ~ in(skf5(u,skc6),the_carrier(skc5))
| ~ in(skf5(u,skc6),the_carrier(skc5))
| in(skf5(u,skc6),topstr_closure(skc5,skc6))
| subset(skc6,u)
| in(skf5(u,skc6),topstr_closure(skc5,skc6)) ),
inference(res,[status(thm),theory(equality)],[135,2797]),
[iquote('0:Res:135.2,2797.0')] ).
cnf(12422,plain,
( ~ in(skf5(u,skc6),the_carrier(skc5))
| subset(skc6,u)
| in(skf5(u,skc6),topstr_closure(skc5,skc6)) ),
inference(obv,[status(thm),theory(equality)],[12419]),
[iquote('0:Obv:12419.2')] ).
cnf(37066,plain,
( ~ in(skf5(topstr_closure(skc5,skc6),skc6),the_carrier(skc5))
| subset(skc6,topstr_closure(skc5,skc6)) ),
inference(res,[status(thm),theory(equality)],[12422,34]),
[iquote('0:Res:12422.2,34.0')] ).
cnf(37093,plain,
~ in(skf5(topstr_closure(skc5,skc6),skc6),the_carrier(skc5)),
inference(mrr,[status(thm)],[37066,33]),
[iquote('0:MRR:37066.1,33.0')] ).
cnf(37103,plain,
( ~ subset(the_carrier(skc5),the_carrier(skc5))
| subset(skc6,topstr_closure(skc5,skc6)) ),
inference(res,[status(thm),theory(equality)],[9938,37093]),
[iquote('0:Res:9938.2,37093.0')] ).
cnf(37105,plain,
$false,
inference(mrr,[status(thm)],[37103,17,33]),
[iquote('0:MRR:37103.0,37103.1,17.0,33.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU317+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 19:25:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 15.13/15.32
% 15.13/15.32 SPASS V 3.9
% 15.13/15.32 SPASS beiseite: Proof found.
% 15.13/15.32 % SZS status Theorem
% 15.13/15.32 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.13/15.32 SPASS derived 34436 clauses, backtracked 981 clauses, performed 12 splits and kept 14975 clauses.
% 15.13/15.32 SPASS allocated 120706 KBytes.
% 15.13/15.32 SPASS spent 0:0:14.52 on the problem.
% 15.13/15.32 0:00:00.03 for the input.
% 15.13/15.32 0:00:00.03 for the FLOTTER CNF translation.
% 15.13/15.32 0:00:00.42 for inferences.
% 15.13/15.32 0:00:00.67 for the backtracking.
% 15.13/15.32 0:0:12.82 for the reduction.
% 15.13/15.32
% 15.13/15.32
% 15.13/15.32 Here is a proof with depth 5, length 25 :
% 15.13/15.32 % SZS output start Refutation
% See solution above
% 15.13/15.32 Formulae used in the proof : t48_pre_topc reflexivity_r1_tarski d3_tarski antisymmetry_r2_hidden t3_subset t45_pre_topc existence_m1_subset_1
% 15.13/15.32
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