TSTP Solution File: SWC075+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC075+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 44.81s 44.98s
% Output : Refutation 44.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of clauses : 69 ( 31 unt; 2 nHn; 69 RR)
% Number of literals : 158 ( 0 equ; 97 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('SWC075+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc8),
file('SWC075+1.p',unknown),
[] ).
cnf(3,axiom,
ssList(skc7),
file('SWC075+1.p',unknown),
[] ).
cnf(4,axiom,
ssList(skc6),
file('SWC075+1.p',unknown),
[] ).
cnf(7,axiom,
ssList(nil),
file('SWC075+1.p',unknown),
[] ).
cnf(8,axiom,
cyclefreeP(nil),
file('SWC075+1.p',unknown),
[] ).
cnf(9,axiom,
totalorderP(nil),
file('SWC075+1.p',unknown),
[] ).
cnf(10,axiom,
strictorderP(nil),
file('SWC075+1.p',unknown),
[] ).
cnf(11,axiom,
totalorderedP(nil),
file('SWC075+1.p',unknown),
[] ).
cnf(12,axiom,
strictorderedP(nil),
file('SWC075+1.p',unknown),
[] ).
cnf(13,axiom,
duplicatefreeP(nil),
file('SWC075+1.p',unknown),
[] ).
cnf(14,axiom,
equalelemsP(nil),
file('SWC075+1.p',unknown),
[] ).
cnf(60,axiom,
equal(app(skc8,skc9),skc7),
file('SWC075+1.p',unknown),
[] ).
cnf(61,axiom,
equal(app(skc9,skc8),skc6),
file('SWC075+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ ssList(u)
| segmentP(u,u) ),
file('SWC075+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ equal(skc6,nil)
| ~ equal(skc7,nil) ),
file('SWC075+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ ssList(u)
| equal(app(nil,u),u) ),
file('SWC075+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ ssList(u)
| equal(app(u,nil),u) ),
file('SWC075+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ssList(app(v,u)) ),
file('SWC075+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ ssList(u)
| ~ ssList(v)
| neq(v,u)
| equal(v,u) ),
file('SWC075+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ ssList(u)
| ~ neq(u,nil)
| ~ segmentP(skc6,u)
| ~ segmentP(skc7,u) ),
file('SWC075+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| equal(app(app(w,v),u),app(w,app(v,u))) ),
file('SWC075+1.p',unknown),
[] ).
cnf(179,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ ssList(x)
| ~ segmentP(u,v)
| segmentP(app(app(w,u),x),v) ),
file('SWC075+1.p',unknown),
[] ).
cnf(184,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ ssList(x)
| ~ equal(app(app(u,x),v),w)
| segmentP(w,x) ),
file('SWC075+1.p',unknown),
[] ).
cnf(198,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)],[158,179]),
[iquote('0:Rew:158.3,179.5')] ).
cnf(199,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)],[158,184]),
[iquote('0:Rew:158.3,184.4')] ).
cnf(243,plain,
( ~ neq(skc6,nil)
| ~ segmentP(skc7,skc6)
| ~ segmentP(skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[4,126]),
[iquote('0:Res:4.0,126.0')] ).
cnf(251,plain,
( ~ ssList(u)
| neq(skc6,u)
| equal(skc6,u) ),
inference(res,[status(thm),theory(equality)],[4,106]),
[iquote('0:Res:4.0,106.0')] ).
cnf(276,plain,
equal(app(nil,skc6),skc6),
inference(res,[status(thm),theory(equality)],[4,80]),
[iquote('0:Res:4.0,80.0')] ).
cnf(277,plain,
equal(app(skc6,nil),skc6),
inference(res,[status(thm),theory(equality)],[4,81]),
[iquote('0:Res:4.0,81.0')] ).
cnf(282,plain,
segmentP(skc6,skc6),
inference(res,[status(thm),theory(equality)],[4,67]),
[iquote('0:Res:4.0,67.0')] ).
cnf(448,plain,
equal(app(nil,skc7),skc7),
inference(res,[status(thm),theory(equality)],[3,80]),
[iquote('0:Res:3.0,80.0')] ).
cnf(449,plain,
equal(app(skc7,nil),skc7),
inference(res,[status(thm),theory(equality)],[3,81]),
[iquote('0:Res:3.0,81.0')] ).
cnf(544,plain,
( ~ segmentP(skc7,skc6)
| ~ neq(skc6,nil) ),
inference(mrr,[status(thm)],[243,282]),
[iquote('0:MRR:243.2,282.0')] ).
cnf(6334,plain,
( ~ ssList(u)
| ~ ssList(skc9)
| ~ ssList(skc8)
| equal(app(skc8,app(skc9,u)),app(skc7,u)) ),
inference(spr,[status(thm),theory(equality)],[60,158]),
[iquote('0:SpR:60.0,158.3')] ).
cnf(6335,plain,
( ~ ssList(u)
| ~ ssList(skc8)
| ~ ssList(skc9)
| equal(app(skc9,app(skc8,u)),app(skc6,u)) ),
inference(spr,[status(thm),theory(equality)],[61,158]),
[iquote('0:SpR:61.0,158.3')] ).
cnf(6348,plain,
( ~ ssList(u)
| equal(app(skc8,app(skc9,u)),app(skc7,u)) ),
inference(ssi,[status(thm)],[6334,2,1]),
[iquote('0:SSi:6334.2,6334.1,2.0,1.0')] ).
cnf(6349,plain,
( ~ ssList(u)
| equal(app(skc9,app(skc8,u)),app(skc6,u)) ),
inference(ssi,[status(thm)],[6335,1,2]),
[iquote('0:SSi:6335.2,6335.1,1.0,2.0')] ).
cnf(7776,plain,
( ~ ssList(skc8)
| ~ ssList(u)
| ~ ssList(v)
| ~ ssList(skc9)
| ~ segmentP(skc9,v)
| segmentP(app(u,skc6),v) ),
inference(spr,[status(thm),theory(equality)],[61,198]),
[iquote('0:SpR:61.0,198.5')] ).
cnf(7798,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ segmentP(skc9,v)
| segmentP(app(u,skc6),v) ),
inference(ssi,[status(thm)],[7776,1,2]),
[iquote('0:SSi:7776.3,7776.0,1.0,2.0')] ).
cnf(7999,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)],[199]),
[iquote('0:EqR:199.4')] ).
cnf(8039,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| segmentP(app(w,app(u,v)),u) ),
inference(ssi,[status(thm)],[7999,90]),
[iquote('0:SSi:7999.1,90.2,90.2')] ).
cnf(13468,plain,
( ~ ssList(skc9)
| equal(app(skc9,skc7),app(skc6,skc9)) ),
inference(spr,[status(thm),theory(equality)],[60,6349]),
[iquote('0:SpR:60.0,6349.1')] ).
cnf(13480,plain,
equal(app(skc9,skc7),app(skc6,skc9)),
inference(ssi,[status(thm)],[13468,1]),
[iquote('0:SSi:13468.0,1.0')] ).
cnf(23263,plain,
( ~ ssList(nil)
| ~ ssList(u)
| ~ segmentP(skc9,u)
| segmentP(skc6,u) ),
inference(spr,[status(thm),theory(equality)],[276,7798]),
[iquote('0:SpR:276.0,7798.3')] ).
cnf(23274,plain,
( ~ ssList(u)
| ~ segmentP(skc9,u)
| segmentP(skc6,u) ),
inference(ssi,[status(thm)],[23263,14,13,10,9,8,12,11,7]),
[iquote('0:SSi:23263.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0')] ).
cnf(23299,plain,
( ~ ssList(skc9)
| ~ ssList(skc9)
| segmentP(skc6,skc9) ),
inference(res,[status(thm),theory(equality)],[67,23274]),
[iquote('0:Res:67.1,23274.1')] ).
cnf(23300,plain,
( ~ ssList(skc9)
| segmentP(skc6,skc9) ),
inference(obv,[status(thm),theory(equality)],[23299]),
[iquote('0:Obv:23299.0')] ).
cnf(27614,plain,
( ~ ssList(u)
| ~ ssList(skc9)
| ~ ssList(u)
| ~ ssList(skc8)
| segmentP(app(skc7,u),skc9) ),
inference(spr,[status(thm),theory(equality)],[6348,8039]),
[iquote('0:SpR:6348.1,8039.3')] ).
cnf(27651,plain,
( ~ ssList(skc9)
| ~ ssList(u)
| ~ ssList(skc8)
| segmentP(app(skc7,u),skc9) ),
inference(obv,[status(thm),theory(equality)],[27614]),
[iquote('0:Obv:27614.0')] ).
cnf(29026,plain,
segmentP(skc6,skc9),
inference(ssi,[status(thm)],[23300,1]),
[iquote('0:SSi:23300.0,1.0')] ).
cnf(31891,plain,
( ~ ssList(u)
| segmentP(app(skc7,u),skc9) ),
inference(ssi,[status(thm)],[27651,2,1]),
[iquote('0:SSi:27651.2,27651.0,2.0,1.0')] ).
cnf(36216,plain,
( ~ ssList(nil)
| segmentP(skc7,skc9) ),
inference(spr,[status(thm),theory(equality)],[449,31891]),
[iquote('0:SpR:449.0,31891.1')] ).
cnf(36223,plain,
segmentP(skc7,skc9),
inference(ssi,[status(thm)],[36216,14,13,10,9,8,12,11,7]),
[iquote('0:SSi:36216.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0')] ).
cnf(36241,plain,
( ~ ssList(skc9)
| ~ neq(skc9,nil)
| ~ segmentP(skc6,skc9) ),
inference(res,[status(thm),theory(equality)],[36223,126]),
[iquote('0:Res:36223.0,126.3')] ).
cnf(36261,plain,
( ~ neq(skc9,nil)
| ~ segmentP(skc6,skc9) ),
inference(ssi,[status(thm)],[36241,1]),
[iquote('0:SSi:36241.0,1.0')] ).
cnf(36262,plain,
~ neq(skc9,nil),
inference(mrr,[status(thm)],[36261,29026]),
[iquote('0:MRR:36261.1,29026.0')] ).
cnf(36373,plain,
( ~ ssList(nil)
| ~ ssList(skc9)
| equal(skc9,nil) ),
inference(res,[status(thm),theory(equality)],[106,36262]),
[iquote('0:Res:106.2,36262.0')] ).
cnf(36375,plain,
equal(skc9,nil),
inference(ssi,[status(thm)],[36373,1,14,13,10,9,8,12,11,7]),
[iquote('0:SSi:36373.1,36373.0,1.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0')] ).
cnf(36393,plain,
equal(app(skc6,nil),app(nil,skc7)),
inference(rew,[status(thm),theory(equality)],[36375,13480]),
[iquote('0:Rew:36375.0,13480.0')] ).
cnf(37003,plain,
equal(app(nil,skc7),skc6),
inference(rew,[status(thm),theory(equality)],[277,36393]),
[iquote('0:Rew:277.0,36393.0')] ).
cnf(38458,plain,
equal(skc7,skc6),
inference(rew,[status(thm),theory(equality)],[448,37003]),
[iquote('0:Rew:448.0,37003.0')] ).
cnf(38511,plain,
( ~ segmentP(skc6,skc6)
| ~ neq(skc6,nil) ),
inference(rew,[status(thm),theory(equality)],[38458,544]),
[iquote('0:Rew:38458.0,544.0')] ).
cnf(38512,plain,
~ neq(skc6,nil),
inference(mrr,[status(thm)],[38511,282]),
[iquote('0:MRR:38511.0,282.0')] ).
cnf(40586,plain,
( ~ ssList(nil)
| equal(skc6,nil) ),
inference(res,[status(thm),theory(equality)],[251,38512]),
[iquote('0:Res:251.1,38512.0')] ).
cnf(40589,plain,
equal(skc6,nil),
inference(ssi,[status(thm)],[40586,14,13,10,9,8,12,11,7]),
[iquote('0:SSi:40586.0,14.0,13.0,10.0,9.0,8.0,12.0,11.0,7.0')] ).
cnf(40670,plain,
equal(skc7,nil),
inference(rew,[status(thm),theory(equality)],[40589,38458]),
[iquote('0:Rew:40589.0,38458.0')] ).
cnf(41120,plain,
( ~ equal(nil,nil)
| ~ equal(nil,nil) ),
inference(rew,[status(thm),theory(equality)],[40670,79,40589]),
[iquote('0:Rew:40670.0,79.1,40589.0,79.0')] ).
cnf(41121,plain,
$false,
inference(obv,[status(thm),theory(equality)],[41120]),
[iquote('0:Obv:41120.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC075+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.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 : Sat Jun 11 23:15:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 44.81/44.98
% 44.81/44.98 SPASS V 3.9
% 44.81/44.98 SPASS beiseite: Proof found.
% 44.81/44.98 % SZS status Theorem
% 44.81/44.98 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.81/44.98 SPASS derived 24622 clauses, backtracked 11508 clauses, performed 59 splits and kept 14612 clauses.
% 44.81/44.98 SPASS allocated 131639 KBytes.
% 44.81/44.98 SPASS spent 0:0:36.89 on the problem.
% 44.81/44.98 0:00:00.04 for the input.
% 44.81/44.98 0:00:00.07 for the FLOTTER CNF translation.
% 44.81/44.98 0:00:00.34 for inferences.
% 44.81/44.98 0:00:00.74 for the backtracking.
% 44.81/44.98 0:0:35.34 for the reduction.
% 44.81/44.98
% 44.81/44.98
% 44.81/44.98 Here is a proof with depth 5, length 69 :
% 44.81/44.98 % SZS output start Refutation
% See solution above
% 44.81/44.98 Formulae used in the proof : co1 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax55 ax28 ax84 ax26 ax15 ax82 ax56 ax7
% 44.81/44.98
%------------------------------------------------------------------------------