TSTP Solution File: SWC039+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC039+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 : Theorem 12.63s 12.84s
% Output : Refutation 12.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 36 ( 12 unt; 11 nHn; 36 RR)
% Number of literals : 88 ( 0 equ; 45 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssList(skc5),
file('SWC039+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc4),
file('SWC039+1.p',unknown),
[] ).
cnf(13,axiom,
equal(nil,skc5),
file('SWC039+1.p',unknown),
[] ).
cnf(52,axiom,
ssList(skf48(u,v)),
file('SWC039+1.p',unknown),
[] ).
cnf(53,axiom,
ssList(skf47(u,v)),
file('SWC039+1.p',unknown),
[] ).
cnf(54,axiom,
ssItem(skf46(u,v)),
file('SWC039+1.p',unknown),
[] ).
cnf(55,axiom,
~ equal(nil,skc4),
file('SWC039+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ skP0(skc5,skc4)
| equal(nil,skc4) ),
file('SWC039+1.p',unknown),
[] ).
cnf(87,axiom,
( equal(cons(skf46(u,v),nil),v)
| skP0(u,v) ),
file('SWC039+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ ssItem(u)
| ~ ssList(v)
| ssList(cons(u,v)) ),
file('SWC039+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ssList(app(v,u)) ),
file('SWC039+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ ssList(u)
| ~ segmentP(nil,u)
| equal(nil,u) ),
file('SWC039+1.p',unknown),
[] ).
cnf(120,axiom,
( skP0(u,v)
| equal(app(app(skf47(u,v),v),skf48(v,u)),u) ),
file('SWC039+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| equal(app(app(w,v),u),app(w,app(v,u))) ),
file('SWC039+1.p',unknown),
[] ).
cnf(188,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ ssList(x)
| ~ equal(app(app(u,x),v),w)
| segmentP(w,x) ),
file('SWC039+1.p',unknown),
[] ).
cnf(208,plain,
~ equal(skc5,skc4),
inference(rew,[status(thm),theory(equality)],[13,55]),
[iquote('0:Rew:13.0,55.0')] ).
cnf(220,plain,
( ~ skP0(skc5,skc4)
| equal(skc5,skc4) ),
inference(rew,[status(thm),theory(equality)],[13,71]),
[iquote('0:Rew:13.0,71.1')] ).
cnf(221,plain,
~ skP0(skc5,skc4),
inference(mrr,[status(thm)],[220,208]),
[iquote('0:MRR:220.1,208.0')] ).
cnf(229,plain,
( ~ ssList(u)
| ~ segmentP(skc5,u)
| equal(skc5,u) ),
inference(rew,[status(thm),theory(equality)],[13,97]),
[iquote('0:Rew:13.0,97.2,13.0,97.1')] ).
cnf(234,plain,
( skP0(u,v)
| equal(cons(skf46(u,v),skc5),v) ),
inference(rew,[status(thm),theory(equality)],[13,87]),
[iquote('0:Rew:13.0,87.0')] ).
cnf(258,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ ssList(x)
| ~ equal(app(x,app(u,w)),v)
| segmentP(v,u) ),
inference(rew,[status(thm),theory(equality)],[162,188]),
[iquote('0:Rew:162.3,188.4')] ).
cnf(331,plain,
( ~ segmentP(skc5,skc4)
| equal(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[2,229]),
[iquote('0:Res:2.0,229.0')] ).
cnf(496,plain,
( ~ ssItem(u)
| ssList(cons(u,skc5)) ),
inference(res,[status(thm),theory(equality)],[1,91]),
[iquote('0:Res:1.0,91.0')] ).
cnf(606,plain,
~ segmentP(skc5,skc4),
inference(mrr,[status(thm)],[331,208]),
[iquote('0:MRR:331.1,208.0')] ).
cnf(802,plain,
( ~ ssItem(skf46(u,v))
| skP0(u,v)
| ssList(v) ),
inference(spr,[status(thm),theory(equality)],[234,496]),
[iquote('0:SpR:234.1,496.1')] ).
cnf(815,plain,
( skP0(u,v)
| ssList(v) ),
inference(ssi,[status(thm)],[802,54]),
[iquote('0:SSi:802.0,54.0')] ).
cnf(4012,plain,
( ~ ssList(skf48(u,v))
| ~ ssList(u)
| ~ ssList(skf47(v,u))
| skP0(v,u)
| equal(app(skf47(v,u),app(u,skf48(u,v))),v) ),
inference(spr,[status(thm),theory(equality)],[162,120]),
[iquote('0:SpR:162.3,120.1')] ).
cnf(4093,plain,
( ~ ssList(u)
| skP0(v,u)
| equal(app(skf47(v,u),app(u,skf48(u,v))),v) ),
inference(ssi,[status(thm)],[4012,53,52]),
[iquote('0:SSi:4012.2,4012.0,53.0,52.0')] ).
cnf(4094,plain,
( skP0(u,v)
| equal(app(skf47(u,v),app(v,skf48(v,u))),u) ),
inference(mrr,[status(thm)],[4093,815]),
[iquote('0:MRR:4093.0,815.1')] ).
cnf(7032,plain,
( ~ ssList(u)
| ~ ssList(app(v,app(u,w)))
| ~ ssList(w)
| ~ ssList(v)
| segmentP(app(v,app(u,w)),u) ),
inference(eqr,[status(thm),theory(equality)],[258]),
[iquote('0:EqR:258.4')] ).
cnf(7076,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| segmentP(app(w,app(u,v)),u) ),
inference(ssi,[status(thm)],[7032,92]),
[iquote('0:SSi:7032.1,92.2,92.2')] ).
cnf(20073,plain,
( ~ ssList(u)
| ~ ssList(skf48(u,v))
| ~ ssList(skf47(v,u))
| skP0(v,u)
| segmentP(v,u) ),
inference(spr,[status(thm),theory(equality)],[4094,7076]),
[iquote('0:SpR:4094.1,7076.3')] ).
cnf(20086,plain,
( ~ ssList(u)
| skP0(v,u)
| segmentP(v,u) ),
inference(ssi,[status(thm)],[20073,53,52]),
[iquote('0:SSi:20073.2,20073.1,53.0,52.0')] ).
cnf(20087,plain,
( skP0(u,v)
| segmentP(u,v) ),
inference(mrr,[status(thm)],[20086,815]),
[iquote('0:MRR:20086.0,815.1')] ).
cnf(20145,plain,
segmentP(skc5,skc4),
inference(res,[status(thm),theory(equality)],[20087,221]),
[iquote('0:Res:20087.0,221.0')] ).
cnf(20146,plain,
$false,
inference(mrr,[status(thm)],[20145,606]),
[iquote('0:MRR:20145.0,606.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC039+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n026.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 : Sun Jun 12 17:17:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 12.63/12.84
% 12.63/12.84 SPASS V 3.9
% 12.63/12.84 SPASS beiseite: Proof found.
% 12.63/12.84 % SZS status Theorem
% 12.63/12.84 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.63/12.84 SPASS derived 13024 clauses, backtracked 2 clauses, performed 10 splits and kept 3769 clauses.
% 12.63/12.84 SPASS allocated 116441 KBytes.
% 12.63/12.84 SPASS spent 0:0:10.82 on the problem.
% 12.63/12.84 0:00:00.04 for the input.
% 12.63/12.84 0:00:00.07 for the FLOTTER CNF translation.
% 12.63/12.84 0:00:00.23 for inferences.
% 12.63/12.84 0:00:00.28 for the backtracking.
% 12.63/12.84 0:00:09.99 for the reduction.
% 12.63/12.84
% 12.63/12.84
% 12.63/12.84 Here is a proof with depth 3, length 36 :
% 12.63/12.84 % SZS output start Refutation
% See solution above
% 12.63/12.84 Formulae used in the proof : co1 ax2 ax17 ax16 ax26 ax58 ax82 ax7
% 12.63/12.84
%------------------------------------------------------------------------------