%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Tue Jul 19 05:23:06 EDT 2022
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 4 unt; 2 nHn; 7 RR)
% Number of literals : 11 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
element(u,skc1),
file('SET045+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ element(u,u)
| ~ element(u,skf1(v)) ),
file('SET045+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ element(u,v)
| element(u,u)
| element(u,skf1(v)) ),
file('SET045+1.p',unknown),
[] ).
cnf(5,plain,
( element(u,u)
| element(u,skf1(skc1)) ),
inference(res,[status(thm),theory(equality)],[1,4]),
[iquote('0:Res:1.0,4.0')] ).
cnf(7,plain,
element(skf1(skc1),skf1(skc1)),
inference(fac,[status(thm)],[5]),
[iquote('0:Fac:5.0,5.1')] ).
cnf(18,plain,
~ element(skf1(skc1),skf1(skc1)),
inference(res,[status(thm),theory(equality)],[7,3]),
[iquote('0:Res:7.0,3.1')] ).
cnf(22,plain,
$false,
inference(mrr,[status(thm)],[18,7]),
[iquote('0:MRR:18.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n006.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 : Sun Jul 10 04:00:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.43
% 0.18/0.43 SPASS V 3.9
% 0.18/0.43 SPASS beiseite: Proof found.
% 0.18/0.43 % SZS status Theorem
% 0.18/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 SPASS derived 17 clauses, backtracked 0 clauses, performed 0 splits and kept 13 clauses.
% 0.18/0.43 SPASS allocated 85094 KBytes.
% 0.18/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.18/0.43 0:00:00.03 for the input.
% 0.18/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43 0:00:00.00 for inferences.
% 0.18/0.43 0:00:00.00 for the backtracking.
% 0.18/0.43 0:00:00.00 for the reduction.
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Here is a proof with depth 3, length 7 :
% 0.18/0.43 % SZS output start Refutation
% See solution above
% 0.18/0.43 Formulae used in the proof : pel41 pel41_1
% 0.18/0.43
%------------------------------------------------------------------------------