%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC076+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 22:01:33 EDT 2022
% Result : Theorem 7.32s 7.52s
% Output : Refutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of clauses : 35 ( 19 unt; 2 nHn; 35 RR)
% Number of literals : 74 ( 0 equ; 44 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssList(skc9),
file('SWC076+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc8),
file('SWC076+1.p',unknown),
[] ).
cnf(4,axiom,
ssList(skc6),
file('SWC076+1.p',unknown),
[] ).
cnf(5,axiom,
equalelemsP(skc6),
file('SWC076+1.p',unknown),
[] ).
cnf(8,axiom,
ssList(nil),
file('SWC076+1.p',unknown),
[] ).
cnf(9,axiom,
cyclefreeP(nil),
file('SWC076+1.p',unknown),
[] ).
cnf(10,axiom,
totalorderP(nil),
file('SWC076+1.p',unknown),
[] ).
cnf(11,axiom,
strictorderP(nil),
file('SWC076+1.p',unknown),
[] ).
cnf(12,axiom,
totalorderedP(nil),
file('SWC076+1.p',unknown),
[] ).
cnf(13,axiom,
strictorderedP(nil),
file('SWC076+1.p',unknown),
[] ).
cnf(14,axiom,
duplicatefreeP(nil),
file('SWC076+1.p',unknown),
[] ).
cnf(15,axiom,
equalelemsP(nil),
file('SWC076+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ ssList(u)
| segmentP(u,u) ),
file('SWC076+1.p',unknown),
[] ).
cnf(69,axiom,
equal(app(app(skc8,skc6),skc9),skc7),
file('SWC076+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ equal(skc6,nil)
| equal(skc7,nil) ),
file('SWC076+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ equal(skc7,nil)
| ~ equal(skc6,nil) ),
file('SWC076+1.p',unknown),
[] ).
cnf(107,axiom,
( ~ ssList(u)
| ~ ssList(v)
| neq(v,u)
| equal(v,u) ),
file('SWC076+1.p',unknown),
[] ).
cnf(127,axiom,
( ~ ssList(u)
| ~ neq(u,nil)
| ~ segmentP(skc6,u)
| ~ segmentP(skc7,u) ),
file('SWC076+1.p',unknown),
[] ).
cnf(159,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| equal(app(app(w,v),u),app(w,app(v,u))) ),
file('SWC076+1.p',unknown),
[] ).
cnf(180,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ ssList(x)
| ~ segmentP(u,v)
| segmentP(app(app(w,u),x),v) ),
file('SWC076+1.p',unknown),
[] ).
cnf(198,plain,
( ~ equal(nil,nil)
| ~ equal(skc6,nil) ),
inference(rew,[status(thm),theory(equality)],[70,80]),
[iquote('0:Rew:70.1,80.0')] ).
cnf(199,plain,
~ equal(skc6,nil),
inference(obv,[status(thm),theory(equality)],[198]),
[iquote('0:Obv:198.0')] ).
cnf(203,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ ssList(x)
| ~ segmentP(x,w)
| segmentP(app(v,app(x,u)),w) ),
inference(rew,[status(thm),theory(equality)],[159,180]),
[iquote('0:Rew:159.3,180.5')] ).
cnf(259,plain,
( ~ ssList(u)
| neq(skc6,u)
| equal(skc6,u) ),
inference(res,[status(thm),theory(equality)],[4,107]),
[iquote('0:Res:4.0,107.0')] ).
cnf(290,plain,
segmentP(skc6,skc6),
inference(res,[status(thm),theory(equality)],[4,66]),
[iquote('0:Res:4.0,66.0')] ).
cnf(3809,plain,
( ~ ssList(skc9)
| ~ ssList(skc6)
| ~ ssList(skc8)
| equal(app(skc8,app(skc6,skc9)),skc7) ),
inference(spr,[status(thm),theory(equality)],[159,69]),
[iquote('0:SpR:159.3,69.0')] ).
cnf(10698,plain,
equal(app(skc8,app(skc6,skc9)),skc7),
inference(ssi,[status(thm)],[3809,2,5,4,1]),
[iquote('0:SSi:3809.2,3809.1,3809.0,2.0,5.0,4.0,1.0')] ).
cnf(10979,plain,
( ~ ssList(skc9)
| ~ ssList(skc8)
| ~ ssList(u)
| ~ ssList(skc6)
| ~ segmentP(skc6,u)
| segmentP(skc7,u) ),
inference(spr,[status(thm),theory(equality)],[10698,203]),
[iquote('0:SpR:10698.0,203.5')] ).
cnf(11606,plain,
( ~ ssList(u)
| ~ segmentP(skc6,u)
| segmentP(skc7,u) ),
inference(ssi,[status(thm)],[10979,5,4,2,1]),
[iquote('0:SSi:10979.3,10979.1,10979.0,5.0,4.0,2.0,1.0')] ).
cnf(11607,plain,
( ~ ssList(u)
| ~ neq(u,nil)
| ~ segmentP(skc6,u) ),
inference(mrr,[status(thm)],[127,11606]),
[iquote('0:MRR:127.3,11606.2')] ).
cnf(11714,plain,
( ~ ssList(skc6)
| ~ neq(skc6,nil) ),
inference(res,[status(thm),theory(equality)],[290,11607]),
[iquote('0:Res:290.0,11607.2')] ).
cnf(11898,plain,
~ neq(skc6,nil),
inference(ssi,[status(thm)],[11714,5,4]),
[iquote('0:SSi:11714.0,5.0,4.0')] ).
cnf(11919,plain,
( ~ ssList(nil)
| equal(skc6,nil) ),
inference(res,[status(thm),theory(equality)],[259,11898]),
[iquote('0:Res:259.1,11898.0')] ).
cnf(11922,plain,
equal(skc6,nil),
inference(ssi,[status(thm)],[11919,15,14,11,10,9,13,12,8]),
[iquote('0:SSi:11919.0,15.0,14.0,11.0,10.0,9.0,13.0,12.0,8.0')] ).
cnf(11923,plain,
$false,
inference(mrr,[status(thm)],[11922,199]),
[iquote('0:MRR:11922.0,199.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC076+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 03:38:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.32/7.52
% 7.32/7.52 SPASS V 3.9
% 7.32/7.52 SPASS beiseite: Proof found.
% 7.32/7.52 % SZS status Theorem
% 7.32/7.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.32/7.52 SPASS derived 7198 clauses, backtracked 2655 clauses, performed 99 splits and kept 5049 clauses.
% 7.32/7.52 SPASS allocated 108350 KBytes.
% 7.32/7.52 SPASS spent 0:00:06.81 on the problem.
% 7.32/7.52 0:00:00.04 for the input.
% 7.32/7.52 0:00:00.06 for the FLOTTER CNF translation.
% 7.32/7.52 0:00:00.09 for inferences.
% 7.32/7.52 0:00:00.10 for the backtracking.
% 7.32/7.52 0:00:06.32 for the reduction.
% 7.32/7.52
% 7.32/7.52
% 7.32/7.52 Here is a proof with depth 3, length 35 :
% 7.32/7.52 % SZS output start Refutation
% See solution above
% 7.32/7.52 Formulae used in the proof : co1 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax55 ax15 ax82 ax56
% 7.32/7.52
%------------------------------------------------------------------------------