TSTP Solution File: SWV397+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV397+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 : Wed Jul 20 21:42:39 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 1 nHn; 7 RR)
% Number of literals : 8 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
~ contains_slb(skc4,skc5),
file('SWV397+1.p',unknown),
[] ).
cnf(13,axiom,
~ ok(triple(u,v,bad)),
file('SWV397+1.p',unknown),
[] ).
cnf(14,axiom,
ok(remove_cpq(triple(skc6,skc4,skc7),skc5)),
file('SWV397+1.p',unknown),
[] ).
cnf(37,axiom,
( contains_slb(u,v)
| equal(remove_cpq(triple(w,u,x),v),triple(w,u,bad)) ),
file('SWV397+1.p',unknown),
[] ).
cnf(58,plain,
equal(remove_cpq(triple(u,skc4,v),skc5),triple(u,skc4,bad)),
inference(res,[status(thm),theory(equality)],[37,5]),
[iquote('0:Res:37.1,5.0')] ).
cnf(61,plain,
ok(triple(skc6,skc4,bad)),
inference(rew,[status(thm),theory(equality)],[58,14]),
[iquote('0:Rew:58.0,14.0')] ).
cnf(62,plain,
$false,
inference(mrr,[status(thm)],[61,13]),
[iquote('0:MRR:61.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV397+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 15 18:46:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46
% 0.20/0.46 SPASS V 3.9
% 0.20/0.46 SPASS beiseite: Proof found.
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 54 clauses.
% 0.20/0.46 SPASS allocated 85349 KBytes.
% 0.20/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.20/0.46 0:00:00.04 for the input.
% 0.20/0.46 0:00:00.04 for the FLOTTER CNF translation.
% 0.20/0.46 0:00:00.00 for inferences.
% 0.20/0.46 0:00:00.00 for the backtracking.
% 0.20/0.46 0:00:00.00 for the reduction.
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Here is a proof with depth 1, length 7 :
% 0.20/0.46 % SZS output start Refutation
% See solution above
% 0.20/0.46 Formulae used in the proof : l33_co ax40 ax43
% 0.20/0.46
%------------------------------------------------------------------------------