TSTP Solution File: SWV376+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 21:42:34 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 11 unt; 4 nHn; 19 RR)
% Number of literals : 35 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 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('SWV376+1.p',unknown),
[] ).
cnf(11,axiom,
~ ok(triple(skc12,skc13,skc14)),
file('SWV376+1.p',unknown),
[] ).
cnf(14,axiom,
~ ok(triple(u,v,bad)),
file('SWV376+1.p',unknown),
[] ).
cnf(20,axiom,
( ok(triple(u,v,w))
| equal(w,bad) ),
file('SWV376+1.p',unknown),
[] ).
cnf(22,axiom,
succ_cpq(triple(skc12,skc13,skc14),triple(skc15,skc16,skc17)),
file('SWV376+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ ok(im_succ_cpq(triple(u,v,w)))
| ok(triple(u,v,w)) ),
file('SWV376+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ ok(triple(skc18,skc19,skc20))
| ~ succ_cpq(triple(u,v,w),triple(x,y,z))
| ~ ok(triple(x,y,z))
| ok(triple(u,v,w)) ),
file('SWV376+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ succ_cpq(triple(u,v,w),triple(x,y,z))
| ~ ok(triple(x,y,z))
| ok(im_succ_cpq(triple(skc18,skc19,skc20)))
| ok(triple(u,v,w)) ),
file('SWV376+1.p',unknown),
[] ).
cnf(68,plain,
equal(skc14,bad),
inference(res,[status(thm),theory(equality)],[20,11]),
[iquote('0:Res:20.0,11.0')] ).
cnf(73,plain,
( ~ ok(triple(skc15,skc16,skc17))
| ok(im_succ_cpq(triple(skc18,skc19,skc20)))
| ok(triple(skc12,skc13,skc14)) ),
inference(res,[status(thm),theory(equality)],[22,55]),
[iquote('0:Res:22.0,55.0')] ).
cnf(74,plain,
( ~ ok(triple(skc18,skc19,skc20))
| ~ ok(triple(skc15,skc16,skc17))
| ok(triple(skc12,skc13,skc14)) ),
inference(res,[status(thm),theory(equality)],[22,54]),
[iquote('0:Res:22.0,54.1')] ).
cnf(78,plain,
( ~ ok(triple(skc15,skc16,skc17))
| ok(im_succ_cpq(triple(skc18,skc19,skc20)))
| ok(triple(skc12,skc13,bad)) ),
inference(rew,[status(thm),theory(equality)],[68,73]),
[iquote('0:Rew:68.0,73.2')] ).
cnf(79,plain,
ok(im_succ_cpq(triple(skc18,skc19,skc20))),
inference(mrr,[status(thm)],[78,6,14]),
[iquote('0:MRR:78.0,78.2,6.0,14.0')] ).
cnf(80,plain,
( ~ ok(triple(skc18,skc19,skc20))
| ~ ok(triple(skc15,skc16,skc17))
| ok(triple(skc12,skc13,bad)) ),
inference(rew,[status(thm),theory(equality)],[68,74]),
[iquote('0:Rew:68.0,74.2')] ).
cnf(81,plain,
~ ok(triple(skc18,skc19,skc20)),
inference(mrr,[status(thm)],[80,6,14]),
[iquote('0:MRR:80.1,80.2,6.0,14.0')] ).
cnf(90,plain,
equal(skc20,bad),
inference(res,[status(thm),theory(equality)],[20,81]),
[iquote('0:Res:20.0,81.0')] ).
cnf(91,plain,
ok(im_succ_cpq(triple(skc18,skc19,bad))),
inference(rew,[status(thm),theory(equality)],[90,79]),
[iquote('0:Rew:90.0,79.0')] ).
cnf(125,plain,
ok(triple(skc18,skc19,bad)),
inference(res,[status(thm),theory(equality)],[91,36]),
[iquote('0:Res:91.0,36.0')] ).
cnf(126,plain,
$false,
inference(mrr,[status(thm)],[125,14]),
[iquote('0:MRR:125.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n014.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 : Wed Jun 15 20:44:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47
% 0.20/0.47 SPASS V 3.9
% 0.20/0.47 SPASS beiseite: Proof found.
% 0.20/0.47 % SZS status Theorem
% 0.20/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 SPASS derived 49 clauses, backtracked 0 clauses, performed 0 splits and kept 73 clauses.
% 0.20/0.47 SPASS allocated 85372 KBytes.
% 0.20/0.47 SPASS spent 0:00:00.11 on the problem.
% 0.20/0.47 0:00:00.04 for the input.
% 0.20/0.47 0:00:00.04 for the FLOTTER CNF translation.
% 0.20/0.47 0:00:00.00 for inferences.
% 0.20/0.47 0:00:00.00 for the backtracking.
% 0.20/0.47 0:00:00.01 for the reduction.
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 Here is a proof with depth 2, length 19 :
% 0.20/0.47 % SZS output start Refutation
% See solution above
% 0.20/0.47 Formulae used in the proof : l12_co ax40 ax41 l12_l13 l12_induction ax31
% 0.20/0.47
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