TSTP Solution File: SWC008+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC008+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 22:01:03 EDT 2022
% Result : Theorem 111.42s 111.62s
% Output : Refutation 111.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of clauses : 30 ( 16 unt; 0 nHn; 30 RR)
% Number of literals : 68 ( 0 equ; 49 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssList(skc5),
file('SWC008+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc4),
file('SWC008+1.p',unknown),
[] ).
cnf(3,axiom,
equalelemsP(skc4),
file('SWC008+1.p',unknown),
[] ).
cnf(6,axiom,
ssList(nil),
file('SWC008+1.p',unknown),
[] ).
cnf(7,axiom,
cyclefreeP(nil),
file('SWC008+1.p',unknown),
[] ).
cnf(8,axiom,
totalorderP(nil),
file('SWC008+1.p',unknown),
[] ).
cnf(9,axiom,
strictorderP(nil),
file('SWC008+1.p',unknown),
[] ).
cnf(10,axiom,
totalorderedP(nil),
file('SWC008+1.p',unknown),
[] ).
cnf(11,axiom,
strictorderedP(nil),
file('SWC008+1.p',unknown),
[] ).
cnf(12,axiom,
duplicatefreeP(nil),
file('SWC008+1.p',unknown),
[] ).
cnf(13,axiom,
equalelemsP(nil),
file('SWC008+1.p',unknown),
[] ).
cnf(14,axiom,
frontsegP(skc5,skc4),
file('SWC008+1.p',unknown),
[] ).
cnf(56,axiom,
ssList(skf46(u,v)),
file('SWC008+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ ssList(u)
| equal(app(u,nil),u) ),
file('SWC008+1.p',unknown),
[] ).
cnf(131,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ frontsegP(v,u)
| equal(app(u,skf46(v,u)),v) ),
file('SWC008+1.p',unknown),
[] ).
cnf(155,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| equal(app(app(w,v),u),app(w,app(v,u))) ),
file('SWC008+1.p',unknown),
[] ).
cnf(183,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ equal(app(app(u,v),w),skc5)
| ~ equal(app(u,w),skc4) ),
file('SWC008+1.p',unknown),
[] ).
cnf(198,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ equal(app(w,u),skc4)
| ~ equal(app(w,app(v,u)),skc5) ),
inference(rew,[status(thm),theory(equality)],[155,183]),
[iquote('0:Rew:155.3,183.3')] ).
cnf(209,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ equal(app(skc4,u),skc4)
| ~ equal(app(skc4,app(v,u)),skc5) ),
inference(res,[status(thm),theory(equality)],[2,198]),
[iquote('0:Res:2.0,198.0')] ).
cnf(279,plain,
equal(app(skc4,nil),skc4),
inference(res,[status(thm),theory(equality)],[2,78]),
[iquote('0:Res:2.0,78.0')] ).
cnf(415,plain,
( ~ ssList(u)
| ~ frontsegP(skc5,u)
| equal(app(u,skf46(skc5,u)),skc5) ),
inference(res,[status(thm),theory(equality)],[1,131]),
[iquote('0:Res:1.0,131.0')] ).
cnf(47077,plain,
( ~ ssList(u)
| ~ ssList(nil)
| ~ ssList(u)
| ~ equal(app(skc4,nil),skc4)
| ~ equal(app(skc4,u),skc5) ),
inference(spl,[status(thm),theory(equality)],[78,209]),
[iquote('0:SpL:78.1,209.3')] ).
cnf(47140,plain,
( ~ ssList(nil)
| ~ ssList(u)
| ~ equal(app(skc4,nil),skc4)
| ~ equal(app(skc4,u),skc5) ),
inference(obv,[status(thm),theory(equality)],[47077]),
[iquote('0:Obv:47077.0')] ).
cnf(47141,plain,
( ~ ssList(nil)
| ~ ssList(u)
| ~ equal(skc4,skc4)
| ~ equal(app(skc4,u),skc5) ),
inference(rew,[status(thm),theory(equality)],[279,47140]),
[iquote('0:Rew:279.0,47140.2')] ).
cnf(47142,plain,
( ~ ssList(nil)
| ~ ssList(u)
| ~ equal(app(skc4,u),skc5) ),
inference(obv,[status(thm),theory(equality)],[47141]),
[iquote('0:Obv:47141.2')] ).
cnf(47143,plain,
( ~ ssList(u)
| ~ equal(app(skc4,u),skc5) ),
inference(ssi,[status(thm)],[47142,13,12,9,8,7,11,10,6]),
[iquote('0:SSi:47142.0,13.0,12.0,9.0,8.0,7.0,11.0,10.0,6.0')] ).
cnf(47207,plain,
( ~ ssList(skc4)
| ~ ssList(skf46(skc5,skc4))
| ~ frontsegP(skc5,skc4)
| ~ equal(skc5,skc5) ),
inference(spl,[status(thm),theory(equality)],[415,47143]),
[iquote('0:SpL:415.2,47143.1')] ).
cnf(55720,plain,
( ~ ssList(skc4)
| ~ ssList(skf46(skc5,skc4))
| ~ frontsegP(skc5,skc4) ),
inference(obv,[status(thm),theory(equality)],[47207]),
[iquote('0:Obv:47207.3')] ).
cnf(55721,plain,
~ frontsegP(skc5,skc4),
inference(ssi,[status(thm)],[55720,56,1,2,3]),
[iquote('0:SSi:55720.1,55720.0,56.0,1.0,2.0,3.0,2.0,3.0')] ).
cnf(55722,plain,
$false,
inference(mrr,[status(thm)],[55721,14]),
[iquote('0:MRR:55721.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWC008+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.10 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun Jun 12 07:30:55 EDT 2022
% 0.10/0.30 % CPUTime :
% 111.42/111.62
% 111.42/111.62 SPASS V 3.9
% 111.42/111.62 SPASS beiseite: Proof found.
% 111.42/111.62 % SZS status Theorem
% 111.42/111.62 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 111.42/111.62 SPASS derived 29170 clauses, backtracked 21577 clauses, performed 45 splits and kept 22857 clauses.
% 111.42/111.62 SPASS allocated 147889 KBytes.
% 111.42/111.62 SPASS spent 0:1:36.85 on the problem.
% 111.42/111.62 0:00:00.03 for the input.
% 111.42/111.62 0:00:00.05 for the FLOTTER CNF translation.
% 111.42/111.62 0:00:00.51 for inferences.
% 111.42/111.62 0:00:03.64 for the backtracking.
% 111.42/111.62 0:1:32.18 for the reduction.
% 111.42/111.62
% 111.42/111.62
% 111.42/111.62 Here is a proof with depth 3, length 30 :
% 111.42/111.62 % SZS output start Refutation
% See solution above
% 111.42/111.62 Formulae used in the proof : co1 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax5 ax84 ax82
% 111.42/111.62
%------------------------------------------------------------------------------