TSTP Solution File: SWC040-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC040-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 22:01:17 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 11 ( 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(5,axiom,
equal(nil,sk2),
file('SWC040-1.p',unknown),
[] ).
cnf(6,axiom,
equal(sk4,sk2),
file('SWC040-1.p',unknown),
[] ).
cnf(7,axiom,
equal(sk3,sk1),
file('SWC040-1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(nil,sk1),
file('SWC040-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ equal(nil,sk4)
| equal(nil,sk3) ),
file('SWC040-1.p',unknown),
[] ).
cnf(210,plain,
~ equal(sk2,sk1),
inference(rew,[status(thm),theory(equality)],[5,8]),
[iquote('0:Rew:5.0,8.0')] ).
cnf(224,plain,
( ~ equal(sk2,sk2)
| equal(sk2,sk1) ),
inference(rew,[status(thm),theory(equality)],[5,9,7,6]),
[iquote('0:Rew:5.0,9.1,7.0,9.1,5.0,9.0,6.0,9.0')] ).
cnf(225,plain,
equal(sk2,sk1),
inference(obv,[status(thm),theory(equality)],[224]),
[iquote('0:Obv:224.0')] ).
cnf(226,plain,
$false,
inference(mrr,[status(thm)],[225,210]),
[iquote('0:MRR:225.0,210.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC040-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 12 07:59:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41
% 0.18/0.41 SPASS V 3.9
% 0.18/0.41 SPASS beiseite: Proof found.
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 SPASS derived 11 clauses, backtracked 0 clauses, performed 0 splits and kept 91 clauses.
% 0.18/0.41 SPASS allocated 75870 KBytes.
% 0.18/0.41 SPASS spent 0:00:00.07 on the problem.
% 0.18/0.41 0:00:00.04 for the input.
% 0.18/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.41 0:00:00.00 for inferences.
% 0.18/0.41 0:00:00.00 for the backtracking.
% 0.18/0.41 0:00:00.01 for the reduction.
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 Here is a proof with depth 0, length 9 :
% 0.18/0.41 % SZS output start Refutation
% See solution above
% 0.18/0.41 Formulae used in the proof : co1_5 co1_6 co1_7 co1_8 co1_9
% 0.18/0.41
%------------------------------------------------------------------------------