TSTP Solution File: SWV384+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 34 ( 17 unt; 3 nHn; 34 RR)
% Number of literals : 64 ( 0 equ; 32 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
ok(triple(skc15,skc16,skc17)),
file('SWV384+1.p',unknown),
[] ).
cnf(7,axiom,
check_cpq(triple(skc15,skc16,skc17)),
file('SWV384+1.p',unknown),
[] ).
cnf(14,axiom,
~ ok(triple(u,v,bad)),
file('SWV384+1.p',unknown),
[] ).
cnf(15,axiom,
( skC0
| ok(im_succ_cpq(triple(skc18,skc19,skc20))) ),
file('SWV384+1.p',unknown),
[] ).
cnf(16,axiom,
( skC0
| check_cpq(im_succ_cpq(triple(skc18,skc19,skc20))) ),
file('SWV384+1.p',unknown),
[] ).
cnf(22,axiom,
( ok(triple(u,v,w))
| equal(w,bad) ),
file('SWV384+1.p',unknown),
[] ).
cnf(24,axiom,
succ_cpq(triple(skc12,skc13,skc14),triple(skc15,skc16,skc17)),
file('SWV384+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ ok(triple(skc12,skc13,skc14))
| ~ check_cpq(triple(skc12,skc13,skc14)) ),
file('SWV384+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ ok(triple(skc18,skc19,skc20))
| ~ check_cpq(triple(skc18,skc19,skc20))
| skC0 ),
file('SWV384+1.p',unknown),
[] ).
cnf(49,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('SWV384+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ ok(im_succ_cpq(triple(u,v,w)))
| ~ check_cpq(im_succ_cpq(triple(u,v,w)))
| ok(triple(u,v,w)) ),
file('SWV384+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ skC0
| ~ check_cpq(triple(u,v,w))
| ~ ok(triple(u,v,w))
| ~ succ_cpq(triple(x,y,z),triple(u,v,w))
| ok(triple(x,y,z)) ),
file('SWV384+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ skC0
| ~ check_cpq(triple(u,v,w))
| ~ ok(triple(u,v,w))
| ~ succ_cpq(triple(x,y,z),triple(u,v,w))
| check_cpq(triple(x,y,z)) ),
file('SWV384+1.p',unknown),
[] ).
cnf(77,plain,
( ~ skC0
| ~ ok(triple(skc15,skc16,skc17))
| ~ check_cpq(triple(skc15,skc16,skc17))
| check_cpq(triple(skc12,skc13,skc14)) ),
inference(res,[status(thm),theory(equality)],[24,62]),
[iquote('0:Res:24.0,62.1')] ).
cnf(78,plain,
( ~ skC0
| ~ ok(triple(skc15,skc16,skc17))
| ~ check_cpq(triple(skc15,skc16,skc17))
| ok(triple(skc12,skc13,skc14)) ),
inference(res,[status(thm),theory(equality)],[24,61]),
[iquote('0:Res:24.0,61.1')] ).
cnf(79,plain,
( ~ skC0
| check_cpq(triple(skc12,skc13,skc14)) ),
inference(mrr,[status(thm)],[77,6,7]),
[iquote('0:MRR:77.1,77.2,6.0,7.0')] ).
cnf(80,plain,
( ~ skC0
| ok(triple(skc12,skc13,skc14)) ),
inference(mrr,[status(thm)],[78,6,7]),
[iquote('0:MRR:78.1,78.2,6.0,7.0')] ).
cnf(85,plain,
skC0,
inference(spt,[spt(split,[position(s1)])],[15]),
[iquote('1:Spt:15.0')] ).
cnf(86,plain,
ok(triple(skc12,skc13,skc14)),
inference(mrr,[status(thm)],[80,85]),
[iquote('1:MRR:80.0,85.0')] ).
cnf(87,plain,
check_cpq(triple(skc12,skc13,skc14)),
inference(mrr,[status(thm)],[79,85]),
[iquote('1:MRR:79.0,85.0')] ).
cnf(92,plain,
~ check_cpq(triple(skc12,skc13,skc14)),
inference(mrr,[status(thm)],[38,86]),
[iquote('1:MRR:38.0,86.0')] ).
cnf(93,plain,
$false,
inference(mrr,[status(thm)],[92,87]),
[iquote('1:MRR:92.0,87.0')] ).
cnf(94,plain,
~ skC0,
inference(spt,[spt(split,[position(sa)])],[93,85]),
[iquote('1:Spt:93.0,15.0,85.0')] ).
cnf(95,plain,
ok(im_succ_cpq(triple(skc18,skc19,skc20))),
inference(spt,[spt(split,[position(s2)])],[15]),
[iquote('1:Spt:93.0,15.1')] ).
cnf(96,plain,
check_cpq(im_succ_cpq(triple(skc18,skc19,skc20))),
inference(mrr,[status(thm)],[16,94]),
[iquote('1:MRR:16.0,94.0')] ).
cnf(97,plain,
( ~ ok(triple(skc18,skc19,skc20))
| ~ check_cpq(triple(skc18,skc19,skc20)) ),
inference(mrr,[status(thm)],[39,94]),
[iquote('1:MRR:39.2,94.0')] ).
cnf(118,plain,
( ~ check_cpq(triple(skc18,skc19,skc20))
| equal(skc20,bad) ),
inference(res,[status(thm),theory(equality)],[22,97]),
[iquote('1:Res:22.0,97.0')] ).
cnf(256,plain,
( ~ check_cpq(im_succ_cpq(triple(skc18,skc19,skc20)))
| ok(triple(skc18,skc19,skc20)) ),
inference(res,[status(thm),theory(equality)],[95,50]),
[iquote('1:Res:95.0,50.0')] ).
cnf(257,plain,
ok(triple(skc18,skc19,skc20)),
inference(mrr,[status(thm)],[256,96]),
[iquote('1:MRR:256.0,96.0')] ).
cnf(264,plain,
( ~ check_cpq(im_succ_cpq(triple(skc18,skc19,skc20)))
| check_cpq(triple(skc18,skc19,skc20)) ),
inference(res,[status(thm),theory(equality)],[95,49]),
[iquote('1:Res:95.0,49.0')] ).
cnf(265,plain,
check_cpq(triple(skc18,skc19,skc20)),
inference(mrr,[status(thm)],[264,96]),
[iquote('1:MRR:264.0,96.0')] ).
cnf(266,plain,
equal(skc20,bad),
inference(mrr,[status(thm)],[118,265]),
[iquote('1:MRR:118.0,265.0')] ).
cnf(270,plain,
ok(triple(skc18,skc19,bad)),
inference(rew,[status(thm),theory(equality)],[266,257]),
[iquote('1:Rew:266.0,257.0')] ).
cnf(272,plain,
$false,
inference(mrr,[status(thm)],[270,14]),
[iquote('1:MRR:270.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n028.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 : Tue Jun 14 17:10:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49
% 0.21/0.49 SPASS V 3.9
% 0.21/0.49 SPASS beiseite: Proof found.
% 0.21/0.49 % SZS status Theorem
% 0.21/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 SPASS derived 173 clauses, backtracked 11 clauses, performed 1 splits and kept 135 clauses.
% 0.21/0.49 SPASS allocated 85407 KBytes.
% 0.21/0.49 SPASS spent 0:00:00.12 on the problem.
% 0.21/0.49 0:00:00.04 for the input.
% 0.21/0.49 0:00:00.04 for the FLOTTER CNF translation.
% 0.21/0.49 0:00:00.01 for inferences.
% 0.21/0.49 0:00:00.00 for the backtracking.
% 0.21/0.49 0:00:00.02 for the reduction.
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 Here is a proof with depth 2, length 34 :
% 0.21/0.49 % SZS output start Refutation
% See solution above
% 0.21/0.49 Formulae used in the proof : l20_co ax40 l20_induction ax31 ax41 l12_l13
% 0.21/0.49
%------------------------------------------------------------------------------