TSTP Solution File: SET962+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET962+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 05:30:05 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 6 unt; 2 nHn; 17 RR)
% Number of literals : 33 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ equal(skc5,skc4),
file('SET962+1.p',unknown),
[] ).
cnf(5,axiom,
equal(cartesian_product2(skc5,skc5),cartesian_product2(skc4,skc4)),
file('SET962+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ in(ordered_pair(u,v),cartesian_product2(w,x))
| in(u,w) ),
file('SET962+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ in(skf1(u,v),u)
| ~ in(skf1(u,v),v) ),
file('SET962+1.p',unknown),
[] ).
cnf(12,axiom,
( equal(u,v)
| in(skf1(v,u),v)
| in(skf1(v,u),u) ),
file('SET962+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ in(u,v)
| ~ in(w,x)
| in(ordered_pair(u,w),cartesian_product2(v,x)) ),
file('SET962+1.p',unknown),
[] ).
cnf(16,plain,
( in(skf1(skc5,skc4),skc5)
| in(skf1(skc5,skc4),skc4) ),
inference(res,[status(thm),theory(equality)],[12,3]),
[iquote('0:Res:12.2,3.0')] ).
cnf(41,plain,
( ~ in(ordered_pair(u,v),cartesian_product2(skc4,skc4))
| in(u,skc5) ),
inference(spl,[status(thm),theory(equality)],[5,9]),
[iquote('0:SpL:5.0,9.0')] ).
cnf(74,plain,
( ~ in(u,skc5)
| ~ in(v,skc5)
| in(ordered_pair(u,v),cartesian_product2(skc4,skc4)) ),
inference(spr,[status(thm),theory(equality)],[5,13]),
[iquote('0:SpR:5.0,13.2')] ).
cnf(80,plain,
( ~ in(u,skc4)
| ~ in(v,skc4)
| in(u,skc5) ),
inference(res,[status(thm),theory(equality)],[13,41]),
[iquote('0:Res:13.2,41.0')] ).
cnf(82,plain,
( ~ in(u,skc4)
| in(u,skc5) ),
inference(con,[status(thm)],[80]),
[iquote('0:Con:80.1')] ).
cnf(83,plain,
in(skf1(skc5,skc4),skc5),
inference(mrr,[status(thm)],[16,82]),
[iquote('0:MRR:16.1,82.0')] ).
cnf(87,plain,
~ in(skf1(skc5,skc4),skc4),
inference(res,[status(thm),theory(equality)],[83,11]),
[iquote('0:Res:83.0,11.0')] ).
cnf(96,plain,
( ~ in(u,skc5)
| ~ in(v,skc5)
| in(u,skc4) ),
inference(res,[status(thm),theory(equality)],[74,9]),
[iquote('0:Res:74.2,9.0')] ).
cnf(100,plain,
( ~ in(u,skc5)
| in(u,skc4) ),
inference(con,[status(thm)],[96]),
[iquote('0:Con:96.1')] ).
cnf(103,plain,
in(skf1(skc5,skc4),skc4),
inference(res,[status(thm),theory(equality)],[83,100]),
[iquote('0:Res:83.0,100.0')] ).
cnf(107,plain,
$false,
inference(mrr,[status(thm)],[103,87]),
[iquote('0:MRR:103.0,87.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET962+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.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 Jul 9 18:49:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 82 clauses, backtracked 0 clauses, performed 0 splits and kept 55 clauses.
% 0.19/0.43 SPASS allocated 85170 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.43 0:00:00.03 for the input.
% 0.19/0.43 0:00:00.02 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.01 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 3, length 17 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : t115_zfmisc_1 l55_zfmisc_1 t2_tarski antisymmetry_r2_hidden
% 0.19/0.43
%------------------------------------------------------------------------------