TSTP Solution File: SWC378+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC378+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 22:03:41 EDT 2022
% Result : Theorem 10.46s 10.72s
% Output : Refutation 10.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 38 ( 13 unt; 10 nHn; 38 RR)
% Number of literals : 113 ( 0 equ; 70 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssItem(skc11),
file('SWC378+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc10),
file('SWC378+1.p',unknown),
[] ).
cnf(3,axiom,
ssList(skc9),
file('SWC378+1.p',unknown),
[] ).
cnf(61,axiom,
equal(app(skc9,skc10),skc8),
file('SWC378+1.p',unknown),
[] ).
cnf(62,axiom,
equal(app(skc10,skc9),skc7),
file('SWC378+1.p',unknown),
[] ).
cnf(63,axiom,
( memberP(skc7,skc11)
| memberP(skc8,skc11) ),
file('SWC378+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ memberP(skc7,skc11)
| ~ memberP(skc8,skc11) ),
file('SWC378+1.p',unknown),
[] ).
cnf(146,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ memberP(v,w)
| memberP(app(v,u),w) ),
file('SWC378+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ memberP(u,w)
| memberP(app(v,u),w) ),
file('SWC378+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ memberP(app(v,u),w)
| memberP(u,w)
| memberP(v,w) ),
file('SWC378+1.p',unknown),
[] ).
cnf(4594,plain,
memberP(skc7,skc11),
inference(spt,[spt(split,[position(s1)])],[63]),
[iquote('1:Spt:63.0')] ).
cnf(4595,plain,
~ memberP(skc8,skc11),
inference(mrr,[status(thm)],[81,4594]),
[iquote('1:MRR:81.0,4594.0')] ).
cnf(6156,plain,
( ~ ssList(skc9)
| ~ ssList(skc10)
| ~ ssItem(u)
| ~ memberP(skc9,u)
| memberP(skc7,u) ),
inference(spr,[status(thm),theory(equality)],[62,147]),
[iquote('0:SpR:62.0,147.4')] ).
cnf(6157,plain,
( ~ ssList(skc10)
| ~ ssList(skc9)
| ~ ssItem(u)
| ~ memberP(skc10,u)
| memberP(skc8,u) ),
inference(spr,[status(thm),theory(equality)],[61,147]),
[iquote('0:SpR:61.0,147.4')] ).
cnf(6159,plain,
( ~ ssItem(u)
| ~ memberP(skc9,u)
| memberP(skc7,u) ),
inference(ssi,[status(thm)],[6156,2,3]),
[iquote('0:SSi:6156.1,6156.0,2.0,3.0')] ).
cnf(6160,plain,
( ~ ssItem(u)
| ~ memberP(skc10,u)
| memberP(skc8,u) ),
inference(ssi,[status(thm)],[6157,3,2]),
[iquote('0:SSi:6157.1,6157.0,3.0,2.0')] ).
cnf(6180,plain,
( ~ ssList(skc9)
| ~ ssList(skc10)
| ~ ssItem(u)
| ~ memberP(skc10,u)
| memberP(skc7,u) ),
inference(spr,[status(thm),theory(equality)],[62,146]),
[iquote('0:SpR:62.0,146.4')] ).
cnf(6181,plain,
( ~ ssList(skc10)
| ~ ssList(skc9)
| ~ ssItem(u)
| ~ memberP(skc9,u)
| memberP(skc8,u) ),
inference(spr,[status(thm),theory(equality)],[61,146]),
[iquote('0:SpR:61.0,146.4')] ).
cnf(6183,plain,
( ~ ssItem(u)
| ~ memberP(skc10,u)
| memberP(skc7,u) ),
inference(ssi,[status(thm)],[6180,2,3]),
[iquote('0:SSi:6180.1,6180.0,2.0,3.0')] ).
cnf(6184,plain,
( ~ ssItem(u)
| ~ memberP(skc9,u)
| memberP(skc8,u) ),
inference(ssi,[status(thm)],[6181,3,2]),
[iquote('0:SSi:6181.1,6181.0,3.0,2.0')] ).
cnf(7743,plain,
( ~ ssList(skc9)
| ~ ssList(skc10)
| ~ ssItem(u)
| ~ memberP(skc7,u)
| memberP(skc9,u)
| memberP(skc10,u) ),
inference(spl,[status(thm),theory(equality)],[62,171]),
[iquote('0:SpL:62.0,171.3')] ).
cnf(7744,plain,
( ~ ssList(skc10)
| ~ ssList(skc9)
| ~ ssItem(u)
| ~ memberP(skc8,u)
| memberP(skc10,u)
| memberP(skc9,u) ),
inference(spl,[status(thm),theory(equality)],[61,171]),
[iquote('0:SpL:61.0,171.3')] ).
cnf(7759,plain,
( ~ ssItem(u)
| ~ memberP(skc7,u)
| memberP(skc9,u)
| memberP(skc10,u) ),
inference(ssi,[status(thm)],[7743,2,3]),
[iquote('0:SSi:7743.1,7743.0,2.0,3.0')] ).
cnf(7760,plain,
( ~ ssItem(u)
| ~ memberP(skc8,u)
| memberP(skc10,u)
| memberP(skc9,u) ),
inference(ssi,[status(thm)],[7744,3,2]),
[iquote('0:SSi:7744.1,7744.0,3.0,2.0')] ).
cnf(12609,plain,
( ~ ssItem(u)
| ~ ssItem(u)
| ~ memberP(skc7,u)
| memberP(skc9,u)
| memberP(skc8,u) ),
inference(res,[status(thm),theory(equality)],[7759,6160]),
[iquote('0:Res:7759.3,6160.1')] ).
cnf(12610,plain,
( ~ ssItem(u)
| ~ memberP(skc7,u)
| memberP(skc9,u)
| memberP(skc8,u) ),
inference(obv,[status(thm),theory(equality)],[12609]),
[iquote('0:Obv:12609.0')] ).
cnf(12611,plain,
( ~ ssItem(u)
| ~ memberP(skc7,u)
| memberP(skc8,u) ),
inference(mrr,[status(thm)],[12610,6184]),
[iquote('0:MRR:12610.2,6184.1')] ).
cnf(12790,plain,
( ~ ssItem(u)
| ~ ssItem(u)
| ~ memberP(skc8,u)
| memberP(skc9,u)
| memberP(skc7,u) ),
inference(res,[status(thm),theory(equality)],[7760,6183]),
[iquote('0:Res:7760.2,6183.1')] ).
cnf(12792,plain,
( ~ ssItem(u)
| ~ memberP(skc8,u)
| memberP(skc9,u)
| memberP(skc7,u) ),
inference(obv,[status(thm),theory(equality)],[12790]),
[iquote('0:Obv:12790.0')] ).
cnf(12793,plain,
( ~ ssItem(u)
| ~ memberP(skc8,u)
| memberP(skc7,u) ),
inference(mrr,[status(thm)],[12792,6159]),
[iquote('0:MRR:12792.2,6159.1')] ).
cnf(13312,plain,
( ~ ssItem(skc11)
| ~ memberP(skc7,skc11) ),
inference(res,[status(thm),theory(equality)],[12611,4595]),
[iquote('1:Res:12611.2,4595.0')] ).
cnf(13313,plain,
~ memberP(skc7,skc11),
inference(ssi,[status(thm)],[13312,1]),
[iquote('1:SSi:13312.0,1.0')] ).
cnf(13314,plain,
$false,
inference(mrr,[status(thm)],[13313,4594]),
[iquote('1:MRR:13313.0,4594.0')] ).
cnf(13315,plain,
~ memberP(skc7,skc11),
inference(spt,[spt(split,[position(sa)])],[13314,4594]),
[iquote('1:Spt:13314.0,63.0,4594.0')] ).
cnf(13316,plain,
memberP(skc8,skc11),
inference(spt,[spt(split,[position(s2)])],[63]),
[iquote('1:Spt:13314.0,63.1')] ).
cnf(18026,plain,
( ~ ssItem(skc11)
| memberP(skc7,skc11) ),
inference(res,[status(thm),theory(equality)],[13316,12793]),
[iquote('1:Res:13316.0,12793.1')] ).
cnf(18027,plain,
memberP(skc7,skc11),
inference(ssi,[status(thm)],[18026,1]),
[iquote('1:SSi:18026.0,1.0')] ).
cnf(18028,plain,
$false,
inference(mrr,[status(thm)],[18027,13315]),
[iquote('1:MRR:18027.0,13315.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC378+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 06:23:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.46/10.72
% 10.46/10.72 SPASS V 3.9
% 10.46/10.72 SPASS beiseite: Proof found.
% 10.46/10.72 % SZS status Theorem
% 10.46/10.72 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.46/10.72 SPASS derived 12079 clauses, backtracked 3148 clauses, performed 58 splits and kept 7849 clauses.
% 10.46/10.72 SPASS allocated 112629 KBytes.
% 10.46/10.72 SPASS spent 0:00:09.47 on the problem.
% 10.46/10.72 0:00:00.04 for the input.
% 10.46/10.72 0:00:00.07 for the FLOTTER CNF translation.
% 10.46/10.72 0:00:00.13 for inferences.
% 10.46/10.72 0:00:00.18 for the backtracking.
% 10.46/10.72 0:00:08.81 for the reduction.
% 10.46/10.72
% 10.46/10.72
% 10.46/10.72 Here is a proof with depth 3, length 38 :
% 10.46/10.72 % SZS output start Refutation
% See solution above
% 10.46/10.72 Formulae used in the proof : co1 ax36
% 10.46/10.72
%------------------------------------------------------------------------------