%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC333+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 22:03:23 EDT 2022
% Result : Theorem 1.36s 1.57s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 15 RR)
% Number of literals : 31 ( 0 equ; 19 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssList(skc7),
file('SWC333+1.p',unknown),
[] ).
cnf(4,axiom,
totalorderedP(skc5),
file('SWC333+1.p',unknown),
[] ).
cnf(15,axiom,
segmentP(skc6,skc5),
file('SWC333+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ segmentP(skc6,skc5)
| ~ totalorderedP(skc5)
| totalorderedP(skc7) ),
file('SWC333+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ segmentP(skc6,skc5)
| ~ totalorderedP(skc5)
| neq(skc5,skc7) ),
file('SWC333+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ segmentP(skc6,skc5)
| ~ totalorderedP(skc5)
| segmentP(skc6,skc7) ),
file('SWC333+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ segmentP(skc6,skc5)
| ~ totalorderedP(skc5)
| segmentP(skc7,skc5) ),
file('SWC333+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ totalorderedP(u)
| ~ ssList(u)
| ~ segmentP(u,skc5)
| ~ neq(skc5,u)
| ~ segmentP(skc6,u) ),
file('SWC333+1.p',unknown),
[] ).
cnf(197,plain,
totalorderedP(skc7),
inference(mrr,[status(thm)],[80,15,4]),
[iquote('0:MRR:80.0,80.1,15.0,4.0')] ).
cnf(198,plain,
segmentP(skc7,skc5),
inference(mrr,[status(thm)],[87,15,4]),
[iquote('0:MRR:87.0,87.1,15.0,4.0')] ).
cnf(199,plain,
segmentP(skc6,skc7),
inference(mrr,[status(thm)],[86,15,4]),
[iquote('0:MRR:86.0,86.1,15.0,4.0')] ).
cnf(200,plain,
neq(skc5,skc7),
inference(mrr,[status(thm)],[85,15,4]),
[iquote('0:MRR:85.0,85.1,15.0,4.0')] ).
cnf(4371,plain,
( ~ totalorderedP(skc7)
| ~ ssList(skc7)
| ~ segmentP(skc7,skc5)
| ~ segmentP(skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[200,143]),
[iquote('0:Res:200.0,143.3')] ).
cnf(4374,plain,
( ~ segmentP(skc7,skc5)
| ~ segmentP(skc6,skc7) ),
inference(ssi,[status(thm)],[4371,197,1]),
[iquote('0:SSi:4371.1,4371.0,197.0,1.0,197.0,1.0')] ).
cnf(4375,plain,
$false,
inference(mrr,[status(thm)],[4374,198,199]),
[iquote('0:MRR:4374.0,4374.1,198.0,199.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC333+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n009.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
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 600
% 0.18/0.33 % DateTime : Sat Jun 11 22:57:53 EDT 2022
% 0.18/0.33 % CPUTime :
% 1.36/1.57
% 1.36/1.57 SPASS V 3.9
% 1.36/1.57 SPASS beiseite: Proof found.
% 1.36/1.57 % SZS status Theorem
% 1.36/1.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.57 SPASS derived 2621 clauses, backtracked 1658 clauses, performed 43 splits and kept 2637 clauses.
% 1.36/1.57 SPASS allocated 101069 KBytes.
% 1.36/1.57 SPASS spent 0:00:01.20 on the problem.
% 1.36/1.57 0:00:00.04 for the input.
% 1.36/1.57 0:00:00.07 for the FLOTTER CNF translation.
% 1.36/1.57 0:00:00.02 for inferences.
% 1.36/1.57 0:00:00.02 for the backtracking.
% 1.36/1.57 0:00:00.89 for the reduction.
% 1.36/1.57
% 1.36/1.57
% 1.36/1.57 Here is a proof with depth 1, length 15 :
% 1.36/1.57 % SZS output start Refutation
% See solution above
% 1.36/1.57 Formulae used in the proof : co1 ax17
% 1.36/1.57
%------------------------------------------------------------------------------