%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM610+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 : Mon Jul 18 14:28:05 EDT 2022
% Result : Theorem 0.99s 1.19s
% Output : Refutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(18,axiom,
aElementOf0(skc3,xP),
file('NUM610+3.p',unknown),
[] ).
cnf(32,axiom,
~ aElementOf0(skc3,xO),
file('NUM610+3.p',unknown),
[] ).
cnf(88,axiom,
( ~ aElementOf0(u,xQ)
| aElementOf0(u,xO) ),
file('NUM610+3.p',unknown),
[] ).
cnf(93,axiom,
( ~ aElementOf0(u,xP)
| aElementOf0(u,xQ) ),
file('NUM610+3.p',unknown),
[] ).
cnf(488,plain,
aElementOf0(skc3,xQ),
inference(res,[status(thm),theory(equality)],[18,93]),
[iquote('0:Res:18.0,93.0')] ).
cnf(526,plain,
~ aElementOf0(skc3,xQ),
inference(res,[status(thm),theory(equality)],[88,32]),
[iquote('0:Res:88.1,32.0')] ).
cnf(545,plain,
$false,
inference(mrr,[status(thm)],[526,488]),
[iquote('0:MRR:526.0,488.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM610+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 00:57:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.99/1.19
% 0.99/1.19 SPASS V 3.9
% 0.99/1.19 SPASS beiseite: Proof found.
% 0.99/1.19 % SZS status Theorem
% 0.99/1.19 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.99/1.19 SPASS derived 58 clauses, backtracked 0 clauses, performed 0 splits and kept 367 clauses.
% 0.99/1.19 SPASS allocated 104753 KBytes.
% 0.99/1.19 SPASS spent 0:00:00.83 on the problem.
% 0.99/1.19 0:00:00.04 for the input.
% 0.99/1.19 0:00:00.72 for the FLOTTER CNF translation.
% 0.99/1.19 0:00:00.00 for inferences.
% 0.99/1.19 0:00:00.00 for the backtracking.
% 0.99/1.19 0:00:00.04 for the reduction.
% 0.99/1.19
% 0.99/1.19
% 0.99/1.19 Here is a proof with depth 1, length 7 :
% 0.99/1.19 % SZS output start Refutation
% See solution above
% 0.99/1.19 Formulae used in the proof : m__ m__5093 m__5195
% 0.99/1.19
%------------------------------------------------------------------------------