%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV385+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Wed Jul 20 21:42:36 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
check_cpq(im_succ_cpq(triple(skc3,skc4,skc5))),
file('SWV385+1.p',unknown),
[] ).
cnf(11,axiom,
ok(im_succ_cpq(triple(skc3,skc4,skc5))),
file('SWV385+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ check_cpq(triple(skc3,skc4,skc5))
| ~ ok(triple(skc3,skc4,skc5)) ),
file('SWV385+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ ok(im_succ_cpq(triple(u,v,w)))
| ok(triple(u,v,w)) ),
file('SWV385+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ ok(im_succ_cpq(triple(u,v,w)))
| ~ check_cpq(im_succ_cpq(triple(u,v,w)))
| check_cpq(triple(u,v,w)) ),
file('SWV385+1.p',unknown),
[] ).
cnf(61,plain,
( ~ check_cpq(im_succ_cpq(triple(skc3,skc4,skc5)))
| check_cpq(triple(skc3,skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[11,45]),
[iquote('0:Res:11.0,45.1')] ).
cnf(62,plain,
ok(triple(skc3,skc4,skc5)),
inference(res,[status(thm),theory(equality)],[11,35]),
[iquote('0:Res:11.0,35.0')] ).
cnf(64,plain,
~ check_cpq(triple(skc3,skc4,skc5)),
inference(mrr,[status(thm)],[34,62]),
[iquote('0:MRR:34.1,62.0')] ).
cnf(65,plain,
$false,
inference(mrr,[status(thm)],[61,10,64]),
[iquote('0:MRR:61.0,61.1,10.0,64.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV385+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 18:50:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 57 clauses.
% 0.19/0.45 SPASS allocated 85354 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 1, length 9 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : l21_co l21_li1316 l21_li2225
% 0.19/0.46
%------------------------------------------------------------------------------