TSTP Solution File: SET789+4 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 05:28:41 EDT 2022
% Result : Theorem 3.74s 3.99s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 8 unt; 0 nHn; 20 RR)
% Number of literals : 48 ( 0 equ; 35 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
order(skc4,skc5),
file('SET789+4.p',unknown),
[] ).
cnf(2,axiom,
greatest(skc7,skc4,skc5),
file('SET789+4.p',unknown),
[] ).
cnf(3,axiom,
greatest(skc6,skc4,skc5),
file('SET789+4.p',unknown),
[] ).
cnf(4,axiom,
~ equal(skc7,skc6),
file('SET789+4.p',unknown),
[] ).
cnf(6,axiom,
( ~ order(u,v)
| skP1(u,v) ),
file('SET789+4.p',unknown),
[] ).
cnf(11,axiom,
( ~ greatest(u,v,w)
| member(u,w) ),
file('SET789+4.p',unknown),
[] ).
cnf(32,axiom,
( ~ member(u,v)
| ~ greatest(w,x,v)
| apply(x,u,w) ),
file('SET789+4.p',unknown),
[] ).
cnf(63,axiom,
( ~ member(u,v)
| ~ member(w,v)
| ~ skP1(x,v)
| ~ apply(x,u,w)
| ~ apply(x,w,u)
| equal(w,u) ),
file('SET789+4.p',unknown),
[] ).
cnf(70,plain,
skP1(skc4,skc5),
inference(res,[status(thm),theory(equality)],[1,6]),
[iquote('0:Res:1.0,6.0')] ).
cnf(77,plain,
( ~ skP1(u,v)
| ~ member(skc7,v)
| ~ member(skc6,v)
| ~ apply(u,skc7,skc6)
| ~ apply(u,skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[63,4]),
[iquote('0:Res:63.5,4.0')] ).
cnf(78,plain,
member(skc6,skc5),
inference(res,[status(thm),theory(equality)],[3,11]),
[iquote('0:Res:3.0,11.0')] ).
cnf(79,plain,
( ~ member(u,skc5)
| apply(skc4,u,skc6) ),
inference(res,[status(thm),theory(equality)],[3,32]),
[iquote('0:Res:3.0,32.1')] ).
cnf(80,plain,
member(skc7,skc5),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.0')] ).
cnf(81,plain,
( ~ member(u,skc5)
| apply(skc4,u,skc7) ),
inference(res,[status(thm),theory(equality)],[2,32]),
[iquote('0:Res:2.0,32.1')] ).
cnf(7744,plain,
( ~ member(skc7,skc5)
| ~ skP1(skc4,u)
| ~ member(skc7,u)
| ~ member(skc6,u)
| ~ apply(skc4,skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[79,77]),
[iquote('0:Res:79.1,77.3')] ).
cnf(7745,plain,
( ~ skP1(skc4,u)
| ~ member(skc7,u)
| ~ member(skc6,u)
| ~ apply(skc4,skc6,skc7) ),
inference(mrr,[status(thm)],[7744,80]),
[iquote('0:MRR:7744.0,80.0')] ).
cnf(8744,plain,
( ~ member(skc6,skc5)
| ~ skP1(skc4,u)
| ~ member(skc7,u)
| ~ member(skc6,u) ),
inference(res,[status(thm),theory(equality)],[81,7745]),
[iquote('0:Res:81.1,7745.3')] ).
cnf(8745,plain,
( ~ skP1(skc4,u)
| ~ member(skc7,u)
| ~ member(skc6,u) ),
inference(mrr,[status(thm)],[8744,78]),
[iquote('0:MRR:8744.0,78.0')] ).
cnf(8784,plain,
( ~ member(skc7,skc5)
| ~ member(skc6,skc5) ),
inference(res,[status(thm),theory(equality)],[70,8745]),
[iquote('0:Res:70.0,8745.0')] ).
cnf(8785,plain,
$false,
inference(mrr,[status(thm)],[8784,80,78]),
[iquote('0:MRR:8784.0,8784.1,80.0,78.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Mon Jul 11 04:37:45 EDT 2022
% 0.15/0.37 % CPUTime :
% 3.74/3.99
% 3.74/3.99 SPASS V 3.9
% 3.74/3.99 SPASS beiseite: Proof found.
% 3.74/3.99 % SZS status Theorem
% 3.74/3.99 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.74/3.99 SPASS derived 8078 clauses, backtracked 3535 clauses, performed 162 splits and kept 6329 clauses.
% 3.74/3.99 SPASS allocated 92488 KBytes.
% 3.74/3.99 SPASS spent 0:00:03.55 on the problem.
% 3.74/3.99 0:00:00.04 for the input.
% 3.74/3.99 0:00:00.19 for the FLOTTER CNF translation.
% 3.74/3.99 0:00:00.16 for inferences.
% 3.74/3.99 0:00:00.18 for the backtracking.
% 3.74/3.99 0:00:02.90 for the reduction.
% 3.74/3.99
% 3.74/3.99
% 3.74/3.99 Here is a proof with depth 4, length 20 :
% 3.74/3.99 % SZS output start Refutation
% See solution above
% 3.74/3.99 Formulae used in the proof : thIV1 order greatest
% 3.74/3.99
%------------------------------------------------------------------------------