TSTP Solution File: LCL650+1.001 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 14:38:23 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of clauses : 43 ( 14 unt; 12 nHn; 43 RR)
% Number of literals : 130 ( 0 equ; 95 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
r1(skc13,skc14),
file('LCL650+1.001.p',unknown),
[] ).
cnf(7,axiom,
r1(skc12,skc13),
file('LCL650+1.001.p',unknown),
[] ).
cnf(8,axiom,
r1(skc11,skc12),
file('LCL650+1.001.p',unknown),
[] ).
cnf(9,axiom,
r1(skc10,skc11),
file('LCL650+1.001.p',unknown),
[] ).
cnf(17,axiom,
( ~ r1(u,v)
| ~ r1(w,x)
| ~ r1(v,w)
| ~ r1(skc10,u)
| p2(x)
| p1(x) ),
file('LCL650+1.001.p',unknown),
[] ).
cnf(18,axiom,
( ~ r1(u,v)
| ~ r1(w,x)
| ~ r1(v,w)
| ~ r1(skc10,u)
| p3(x)
| p2(x) ),
file('LCL650+1.001.p',unknown),
[] ).
cnf(19,axiom,
( ~ r1(u,v)
| ~ r1(w,u)
| ~ r1(x,w)
| ~ r1(skc10,x)
| p1(v)
| p3(v) ),
file('LCL650+1.001.p',unknown),
[] ).
cnf(20,axiom,
( ~ p1(u)
| ~ p2(u)
| ~ r1(v,w)
| ~ r1(x,u)
| ~ r1(w,x)
| ~ r1(skc10,v) ),
file('LCL650+1.001.p',unknown),
[] ).
cnf(21,axiom,
( ~ p2(u)
| ~ p3(u)
| ~ r1(v,w)
| ~ r1(x,u)
| ~ r1(w,x)
| ~ r1(skc10,v) ),
file('LCL650+1.001.p',unknown),
[] ).
cnf(22,axiom,
( ~ p3(u)
| ~ p1(u)
| ~ r1(v,u)
| ~ r1(w,v)
| ~ r1(x,w)
| ~ r1(skc10,x) ),
file('LCL650+1.001.p',unknown),
[] ).
cnf(53,plain,
( ~ r1(u,v)
| ~ r1(skc12,u)
| ~ r1(skc10,skc11)
| p2(v)
| p1(v) ),
inference(res,[status(thm),theory(equality)],[8,17]),
[iquote('0:Res:8.0,17.0')] ).
cnf(63,plain,
( ~ r1(u,v)
| ~ r1(skc12,u)
| p2(v)
| p1(v) ),
inference(mrr,[status(thm)],[53,9]),
[iquote('0:MRR:53.2,9.0')] ).
cnf(84,plain,
( ~ r1(u,skc13)
| ~ r1(v,u)
| ~ r1(skc10,v)
| p1(skc14)
| p3(skc14) ),
inference(res,[status(thm),theory(equality)],[6,19]),
[iquote('0:Res:6.0,19.0')] ).
cnf(122,plain,
( ~ r1(u,v)
| ~ r1(skc12,u)
| ~ r1(skc10,skc11)
| p3(v)
| p2(v) ),
inference(res,[status(thm),theory(equality)],[8,18]),
[iquote('0:Res:8.0,18.0')] ).
cnf(140,plain,
( ~ r1(u,v)
| ~ r1(skc12,u)
| p3(v)
| p2(v) ),
inference(mrr,[status(thm)],[122,9]),
[iquote('0:MRR:122.2,9.0')] ).
cnf(171,plain,
( ~ p3(skc14)
| ~ p1(skc14)
| ~ r1(u,skc13)
| ~ r1(v,u)
| ~ r1(skc10,v) ),
inference(res,[status(thm),theory(equality)],[6,22]),
[iquote('0:Res:6.0,22.2')] ).
cnf(211,plain,
( ~ r1(skc12,skc13)
| p2(skc14)
| p1(skc14) ),
inference(res,[status(thm),theory(equality)],[6,63]),
[iquote('0:Res:6.0,63.0')] ).
cnf(231,plain,
( p2(skc14)
| p1(skc14) ),
inference(mrr,[status(thm)],[211,7]),
[iquote('0:MRR:211.0,7.0')] ).
cnf(234,plain,
p2(skc14),
inference(spt,[spt(split,[position(s1)])],[231]),
[iquote('1:Spt:231.0')] ).
cnf(240,plain,
( ~ p1(u)
| ~ p2(u)
| ~ r1(v,u)
| ~ r1(skc12,v)
| ~ r1(skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[8,20]),
[iquote('0:Res:8.0,20.2')] ).
cnf(262,plain,
( ~ p1(u)
| ~ p2(u)
| ~ r1(v,u)
| ~ r1(skc12,v) ),
inference(mrr,[status(thm)],[240,9]),
[iquote('0:MRR:240.4,9.0')] ).
cnf(275,plain,
( ~ p2(u)
| ~ p3(u)
| ~ r1(v,u)
| ~ r1(skc12,v)
| ~ r1(skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[8,21]),
[iquote('0:Res:8.0,21.2')] ).
cnf(297,plain,
( ~ p2(u)
| ~ p3(u)
| ~ r1(v,u)
| ~ r1(skc12,v) ),
inference(mrr,[status(thm)],[275,9]),
[iquote('0:MRR:275.4,9.0')] ).
cnf(343,plain,
( ~ r1(skc12,skc13)
| p3(skc14)
| p2(skc14) ),
inference(res,[status(thm),theory(equality)],[6,140]),
[iquote('0:Res:6.0,140.0')] ).
cnf(420,plain,
( ~ p1(skc14)
| ~ p2(skc14)
| ~ r1(skc12,skc13) ),
inference(res,[status(thm),theory(equality)],[6,262]),
[iquote('0:Res:6.0,262.2')] ).
cnf(445,plain,
( ~ p1(skc14)
| ~ r1(skc12,skc13) ),
inference(ssi,[status(thm)],[420,234]),
[iquote('1:SSi:420.1,234.0')] ).
cnf(446,plain,
~ p1(skc14),
inference(mrr,[status(thm)],[445,7]),
[iquote('1:MRR:445.1,7.0')] ).
cnf(447,plain,
( ~ r1(u,skc13)
| ~ r1(v,u)
| ~ r1(skc10,v)
| p3(skc14) ),
inference(mrr,[status(thm)],[84,446]),
[iquote('1:MRR:84.3,446.0')] ).
cnf(468,plain,
( ~ r1(u,skc12)
| ~ r1(skc10,u)
| p3(skc14) ),
inference(res,[status(thm),theory(equality)],[7,447]),
[iquote('1:Res:7.0,447.0')] ).
cnf(523,plain,
( ~ p2(skc14)
| ~ p3(skc14)
| ~ r1(skc12,skc13) ),
inference(res,[status(thm),theory(equality)],[6,297]),
[iquote('0:Res:6.0,297.2')] ).
cnf(548,plain,
( ~ p3(skc14)
| ~ r1(skc12,skc13) ),
inference(ssi,[status(thm)],[523,234]),
[iquote('1:SSi:523.0,234.0')] ).
cnf(549,plain,
~ p3(skc14),
inference(mrr,[status(thm)],[548,7]),
[iquote('1:MRR:548.1,7.0')] ).
cnf(551,plain,
( ~ r1(u,skc12)
| ~ r1(skc10,u) ),
inference(mrr,[status(thm)],[468,549]),
[iquote('1:MRR:468.2,549.0')] ).
cnf(658,plain,
~ r1(skc10,skc11),
inference(res,[status(thm),theory(equality)],[8,551]),
[iquote('1:Res:8.0,551.0')] ).
cnf(659,plain,
$false,
inference(mrr,[status(thm)],[658,9]),
[iquote('1:MRR:658.0,9.0')] ).
cnf(660,plain,
~ p2(skc14),
inference(spt,[spt(split,[position(sa)])],[659,234]),
[iquote('1:Spt:659.0,231.0,234.0')] ).
cnf(661,plain,
p1(skc14),
inference(spt,[spt(split,[position(s2)])],[231]),
[iquote('1:Spt:659.0,231.1')] ).
cnf(663,plain,
( p3(skc14)
| p2(skc14) ),
inference(mrr,[status(thm)],[343,7]),
[iquote('0:MRR:343.0,7.0')] ).
cnf(664,plain,
p3(skc14),
inference(mrr,[status(thm)],[663,660]),
[iquote('1:MRR:663.1,660.0')] ).
cnf(668,plain,
( ~ r1(u,skc13)
| ~ r1(v,u)
| ~ r1(skc10,v) ),
inference(mrr,[status(thm)],[171,664,661]),
[iquote('1:MRR:171.0,171.1,664.0,661.0')] ).
cnf(685,plain,
( ~ r1(u,skc12)
| ~ r1(skc10,u) ),
inference(res,[status(thm),theory(equality)],[7,668]),
[iquote('1:Res:7.0,668.0')] ).
cnf(721,plain,
~ r1(skc10,skc11),
inference(res,[status(thm),theory(equality)],[8,685]),
[iquote('1:Res:8.0,685.0')] ).
cnf(722,plain,
$false,
inference(mrr,[status(thm)],[721,9]),
[iquote('1:MRR:721.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 3 10:31:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.54
% 0.19/0.54 SPASS V 3.9
% 0.19/0.54 SPASS beiseite: Proof found.
% 0.19/0.54 % SZS status Theorem
% 0.19/0.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54 SPASS derived 463 clauses, backtracked 127 clauses, performed 25 splits and kept 547 clauses.
% 0.19/0.54 SPASS allocated 98134 KBytes.
% 0.19/0.54 SPASS spent 0:00:00.19 on the problem.
% 0.19/0.54 0:00:00.04 for the input.
% 0.19/0.54 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.54 0:00:00.01 for inferences.
% 0.19/0.54 0:00:00.00 for the backtracking.
% 0.19/0.54 0:00:00.09 for the reduction.
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 Here is a proof with depth 3, length 43 :
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 Formulae used in the proof : main
% 0.19/0.54
%------------------------------------------------------------------------------