TSTP Solution File: SET074+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET074+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 05:23:36 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 5 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
member(skc4,universal_class),
file('SET074+1.p',unknown),
[] ).
cnf(6,axiom,
~ member(u,null_class),
file('SET074+1.p',unknown),
[] ).
cnf(9,axiom,
equal(unordered_pair(skc5,skc4),null_class),
file('SET074+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ equal(u,v)
| ~ member(u,universal_class)
| member(u,unordered_pair(w,v)) ),
file('SET074+1.p',unknown),
[] ).
cnf(97,plain,
( ~ equal(skc4,u)
| member(skc4,unordered_pair(v,u)) ),
inference(res,[status(thm),theory(equality)],[3,72]),
[iquote('0:Res:3.0,72.1')] ).
cnf(311,plain,
( ~ equal(skc4,skc4)
| member(skc4,null_class) ),
inference(spr,[status(thm),theory(equality)],[9,97]),
[iquote('0:SpR:9.0,97.1')] ).
cnf(314,plain,
member(skc4,null_class),
inference(obv,[status(thm),theory(equality)],[311]),
[iquote('0:Obv:311.0')] ).
cnf(315,plain,
$false,
inference(mrr,[status(thm)],[314,6]),
[iquote('0:MRR:314.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET074+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.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 20:48:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49
% 0.18/0.49 SPASS V 3.9
% 0.18/0.49 SPASS beiseite: Proof found.
% 0.18/0.49 % SZS status Theorem
% 0.18/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 SPASS derived 199 clauses, backtracked 41 clauses, performed 1 splits and kept 276 clauses.
% 0.18/0.49 SPASS allocated 98312 KBytes.
% 0.18/0.49 SPASS spent 0:00:00.14 on the problem.
% 0.18/0.49 0:00:00.04 for the input.
% 0.18/0.49 0:00:00.06 for the FLOTTER CNF translation.
% 0.18/0.49 0:00:00.00 for inferences.
% 0.18/0.49 0:00:00.00 for the backtracking.
% 0.18/0.49 0:00:00.02 for the reduction.
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 Here is a proof with depth 2, length 8 :
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 Formulae used in the proof : corollary1_2 null_class_defn unordered_pair_defn
% 0.18/0.49
%------------------------------------------------------------------------------