%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC406-1 : 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 22:03:52 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 6 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
equal(sk4,sk2),
file('SWC406-1.p',unknown),
[] ).
cnf(6,axiom,
equal(sk3,sk1),
file('SWC406-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ ssItem(u)
| ~ memberP(sk3,u)
| memberP(sk4,u) ),
file('SWC406-1.p',unknown),
[] ).
cnf(13,axiom,
ssItem(sk6),
file('SWC406-1.p',unknown),
[] ).
cnf(14,axiom,
memberP(sk1,sk6),
file('SWC406-1.p',unknown),
[] ).
cnf(15,axiom,
~ memberP(sk2,sk6),
file('SWC406-1.p',unknown),
[] ).
cnf(203,plain,
( ~ ssItem(u)
| ~ memberP(sk1,u)
| memberP(sk2,u) ),
inference(rew,[status(thm),theory(equality)],[5,11,6]),
[iquote('0:Rew:5.0,11.2,6.0,11.1')] ).
cnf(246,plain,
( ~ memberP(sk1,sk6)
| memberP(sk2,sk6) ),
inference(res,[status(thm),theory(equality)],[13,203]),
[iquote('0:Res:13.0,203.0')] ).
cnf(493,plain,
$false,
inference(mrr,[status(thm)],[246,14,15]),
[iquote('0:MRR:246.0,246.1,14.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC406-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n025.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 : Sun Jun 12 10:33:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 282 clauses, backtracked 0 clauses, performed 0 splits and kept 220 clauses.
% 0.20/0.49 SPASS allocated 76246 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.20/0.49 0:00:00.04 for the input.
% 0.20/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.00 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.03 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 1, length 9 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : co1_5 co1_6 co1_11 co1_13 co1_14 co1_15
% 0.20/0.49
%------------------------------------------------------------------------------