TSTP Solution File: LCL664+1.010 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL664+1.010 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 14:38:41 EDT 2022
% Result : Theorem 18.39s 18.57s
% Output : Refutation 18.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of clauses : 41 ( 13 unt; 0 nHn; 41 RR)
% Number of literals : 195 ( 0 equ; 155 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
r1(skc5,skc149),
file('LCL664+1.010.p',unknown),
[] ).
cnf(7,axiom,
~ p12(skc149),
file('LCL664+1.010.p',unknown),
[] ).
cnf(12,axiom,
r1(u,skf279(u)),
file('LCL664+1.010.p',unknown),
[] ).
cnf(19,axiom,
r1(u,skf272(u)),
file('LCL664+1.010.p',unknown),
[] ).
cnf(45,axiom,
r1(u,skf246(u)),
file('LCL664+1.010.p',unknown),
[] ).
cnf(61,axiom,
r1(u,skf230(u)),
file('LCL664+1.010.p',unknown),
[] ).
cnf(72,axiom,
r1(u,skf219(u)),
file('LCL664+1.010.p',unknown),
[] ).
cnf(83,axiom,
r1(u,skf208(u)),
file('LCL664+1.010.p',unknown),
[] ).
cnf(104,axiom,
r1(u,skf187(u)),
file('LCL664+1.010.p',unknown),
[] ).
cnf(115,axiom,
r1(u,skf176(u)),
file('LCL664+1.010.p',unknown),
[] ).
cnf(136,axiom,
r1(u,skf155(u)),
file('LCL664+1.010.p',unknown),
[] ).
cnf(161,axiom,
( ~ p21(skf279(u))
| ~ r1(skc5,u)
| p12(u) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(180,axiom,
( ~ p36(skf272(u))
| ~ r1(v,u)
| ~ r1(skc5,v)
| p21(u) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(189,axiom,
( ~ p45(skf246(u))
| ~ r1(v,u)
| ~ r1(w,v)
| ~ r1(skc5,w)
| p36(u) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(204,axiom,
( ~ p54(skf230(u))
| ~ r1(v,u)
| ~ r1(w,v)
| ~ r1(x,w)
| ~ r1(skc5,x)
| p45(u) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(219,axiom,
( ~ p61(skf219(u))
| ~ r1(v,u)
| ~ r1(w,v)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(skc5,y)
| p54(u) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(230,axiom,
( ~ p74(skf208(u))
| ~ r1(v,u)
| ~ r1(w,v)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(skc5,z)
| p61(u) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(251,axiom,
( ~ p81(skf187(u))
| ~ r1(v,u)
| ~ r1(w,v)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(skc5,x1)
| p74(u) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(262,axiom,
( ~ p94(skf176(u))
| ~ r1(v,u)
| ~ r1(w,v)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(x2,x1)
| ~ r1(skc5,x2)
| p81(u) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(283,axiom,
( ~ p101(skf155(u))
| ~ r1(v,u)
| ~ r1(w,v)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(x2,x1)
| ~ r1(x3,x2)
| ~ r1(skc5,x3)
| p94(u) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(294,axiom,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(x2,x1)
| ~ r1(x3,x2)
| ~ r1(x4,x3)
| ~ r1(skc5,x4)
| p101(v) ),
file('LCL664+1.010.p',unknown),
[] ).
cnf(315,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(x2,x1)
| ~ r1(x3,x2)
| ~ r1(skc5,x3)
| p101(skf155(v)) ),
inference(res,[status(thm),theory(equality)],[136,294]),
[iquote('0:Res:136.0,294.0')] ).
cnf(442,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(x2,x1)
| ~ r1(x3,x2)
| ~ r1(skc5,x3)
| p94(v) ),
inference(mrr,[status(thm)],[283,315]),
[iquote('0:MRR:283.0,315.9')] ).
cnf(485,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(x2,x1)
| ~ r1(skc5,x2)
| p94(skf176(v)) ),
inference(res,[status(thm),theory(equality)],[115,442]),
[iquote('0:Res:115.0,442.0')] ).
cnf(591,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(x2,x1)
| ~ r1(skc5,x2)
| p81(v) ),
inference(mrr,[status(thm)],[262,485]),
[iquote('0:MRR:262.0,485.8')] ).
cnf(650,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(skc5,x1)
| p81(skf187(v)) ),
inference(res,[status(thm),theory(equality)],[104,591]),
[iquote('0:Res:104.0,591.0')] ).
cnf(745,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(x1,z)
| ~ r1(skc5,x1)
| p74(v) ),
inference(mrr,[status(thm)],[251,650]),
[iquote('0:MRR:251.0,650.7')] ).
cnf(822,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(skc5,z)
| p74(skf208(v)) ),
inference(res,[status(thm),theory(equality)],[83,745]),
[iquote('0:Res:83.0,745.0')] ).
cnf(896,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(z,y)
| ~ r1(skc5,z)
| p61(v) ),
inference(mrr,[status(thm)],[230,822]),
[iquote('0:MRR:230.0,822.6')] ).
cnf(987,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(skc5,y)
| p61(skf219(v)) ),
inference(res,[status(thm),theory(equality)],[72,896]),
[iquote('0:Res:72.0,896.0')] ).
cnf(1050,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(y,x)
| ~ r1(skc5,y)
| p54(v) ),
inference(mrr,[status(thm)],[219,987]),
[iquote('0:MRR:219.0,987.5')] ).
cnf(1149,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(skc5,x)
| p54(skf230(v)) ),
inference(res,[status(thm),theory(equality)],[61,1050]),
[iquote('0:Res:61.0,1050.0')] ).
cnf(1204,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(skc5,x)
| p45(v) ),
inference(mrr,[status(thm)],[204,1149]),
[iquote('0:MRR:204.0,1149.4')] ).
cnf(2806,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(skc5,w)
| p45(skf246(v)) ),
inference(res,[status(thm),theory(equality)],[45,1204]),
[iquote('0:Res:45.0,1204.0')] ).
cnf(2842,plain,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(skc5,w)
| p36(v) ),
inference(mrr,[status(thm)],[189,2806]),
[iquote('0:MRR:189.0,2806.3')] ).
cnf(2979,plain,
( ~ r1(u,v)
| ~ r1(skc5,u)
| p36(skf272(v)) ),
inference(res,[status(thm),theory(equality)],[19,2842]),
[iquote('0:Res:19.0,2842.0')] ).
cnf(2989,plain,
( ~ r1(u,v)
| ~ r1(skc5,u)
| p21(v) ),
inference(mrr,[status(thm)],[180,2979]),
[iquote('0:MRR:180.0,2979.2')] ).
cnf(3133,plain,
( ~ r1(skc5,u)
| p21(skf279(u)) ),
inference(res,[status(thm),theory(equality)],[12,2989]),
[iquote('0:Res:12.0,2989.0')] ).
cnf(3140,plain,
( ~ r1(skc5,u)
| p12(u) ),
inference(mrr,[status(thm)],[161,3133]),
[iquote('0:MRR:161.0,3133.1')] ).
cnf(3143,plain,
p12(skc149),
inference(res,[status(thm),theory(equality)],[2,3140]),
[iquote('0:Res:2.0,3140.0')] ).
cnf(3287,plain,
$false,
inference(mrr,[status(thm)],[3143,7]),
[iquote('0:MRR:3143.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL664+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n005.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 : Sat Jul 2 14:23:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 18.39/18.57
% 18.39/18.57 SPASS V 3.9
% 18.39/18.57 SPASS beiseite: Proof found.
% 18.39/18.57 % SZS status Theorem
% 18.39/18.57 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.39/18.57 SPASS derived 2969 clauses, backtracked 0 clauses, performed 0 splits and kept 3264 clauses.
% 18.39/18.57 SPASS allocated 88133 KBytes.
% 18.39/18.57 SPASS spent 0:0:18.17 on the problem.
% 18.39/18.57 0:00:00.04 for the input.
% 18.39/18.57 0:00:00.61 for the FLOTTER CNF translation.
% 18.39/18.57 0:00:00.03 for inferences.
% 18.39/18.57 0:00:00.00 for the backtracking.
% 18.39/18.57 0:0:17.43 for the reduction.
% 18.39/18.57
% 18.39/18.57
% 18.39/18.57 Here is a proof with depth 1, length 41 :
% 18.39/18.57 % SZS output start Refutation
% See solution above
% 18.39/18.57 Formulae used in the proof : main reflexivity
% 18.39/18.57
%------------------------------------------------------------------------------