TSTP Solution File: SWC044+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC044+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 22:01:20 EDT 2022
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 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(2,axiom,
ssList(skc4),
file('SWC044+1.p',unknown),
[] ).
cnf(13,axiom,
equal(nil,skc5),
file('SWC044+1.p',unknown),
[] ).
cnf(14,axiom,
rearsegP(skc5,skc4),
file('SWC044+1.p',unknown),
[] ).
cnf(53,axiom,
~ equal(nil,skc4),
file('SWC044+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ ssList(u)
| ~ rearsegP(nil,u)
| equal(nil,u) ),
file('SWC044+1.p',unknown),
[] ).
cnf(201,plain,
~ equal(skc5,skc4),
inference(rew,[status(thm),theory(equality)],[13,53]),
[iquote('0:Rew:13.0,53.0')] ).
cnf(222,plain,
( ~ ssList(u)
| ~ rearsegP(skc5,u)
| equal(skc5,u) ),
inference(rew,[status(thm),theory(equality)],[13,91]),
[iquote('0:Rew:13.0,91.2,13.0,91.1')] ).
cnf(319,plain,
( ~ rearsegP(skc5,skc4)
| equal(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[2,222]),
[iquote('0:Res:2.0,222.0')] ).
cnf(595,plain,
$false,
inference(mrr,[status(thm)],[319,14,201]),
[iquote('0:MRR:319.0,319.1,14.0,201.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC044+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n025.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 : Sun Jun 12 05:17:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.37/0.55
% 0.37/0.55 SPASS V 3.9
% 0.37/0.55 SPASS beiseite: Proof found.
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.55 SPASS derived 351 clauses, backtracked 0 clauses, performed 0 splits and kept 217 clauses.
% 0.37/0.55 SPASS allocated 98383 KBytes.
% 0.37/0.55 SPASS spent 0:00:00.19 on the problem.
% 0.37/0.55 0:00:00.04 for the input.
% 0.37/0.55 0:00:00.07 for the FLOTTER CNF translation.
% 0.37/0.55 0:00:00.00 for inferences.
% 0.37/0.55 0:00:00.00 for the backtracking.
% 0.37/0.55 0:00:00.02 for the reduction.
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Here is a proof with depth 1, length 9 :
% 0.37/0.55 % SZS output start Refutation
% See solution above
% 0.37/0.55 Formulae used in the proof : co1 ax52
% 0.37/0.55
%------------------------------------------------------------------------------