TSTP Solution File: SET804+4 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET804+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 05:28:46 EDT 2022
% Result : Theorem 0.39s 0.59s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 11 unt; 0 nHn; 21 RR)
% Number of literals : 37 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
min(skc8,skc5,skc6),
file('SET804+4.p',unknown),
[] ).
cnf(3,axiom,
~ equal(skc8,skc7),
file('SET804+4.p',unknown),
[] ).
cnf(4,axiom,
min(skc7,skc5,skc6),
file('SET804+4.p',unknown),
[] ).
cnf(5,axiom,
least(skc9,skc5,skc6),
file('SET804+4.p',unknown),
[] ).
cnf(13,axiom,
( ~ least(u,v,w)
| member(u,w) ),
file('SET804+4.p',unknown),
[] ).
cnf(15,axiom,
( ~ min(u,v,w)
| member(u,w) ),
file('SET804+4.p',unknown),
[] ).
cnf(34,axiom,
( ~ member(u,v)
| ~ least(w,x,v)
| apply(x,w,u) ),
file('SET804+4.p',unknown),
[] ).
cnf(51,axiom,
( ~ member(u,v)
| ~ min(w,x,v)
| ~ apply(x,u,w)
| equal(w,u) ),
file('SET804+4.p',unknown),
[] ).
cnf(73,plain,
member(skc9,skc6),
inference(res,[status(thm),theory(equality)],[5,13]),
[iquote('0:Res:5.0,13.0')] ).
cnf(74,plain,
( ~ member(u,skc6)
| apply(skc5,skc9,u) ),
inference(res,[status(thm),theory(equality)],[5,34]),
[iquote('0:Res:5.0,34.1')] ).
cnf(75,plain,
member(skc7,skc6),
inference(res,[status(thm),theory(equality)],[4,15]),
[iquote('0:Res:4.0,15.0')] ).
cnf(76,plain,
( ~ member(u,skc6)
| ~ apply(skc5,u,skc7)
| equal(skc7,u) ),
inference(res,[status(thm),theory(equality)],[4,51]),
[iquote('0:Res:4.0,51.2')] ).
cnf(83,plain,
member(skc8,skc6),
inference(res,[status(thm),theory(equality)],[2,15]),
[iquote('0:Res:2.0,15.0')] ).
cnf(84,plain,
( ~ member(u,skc6)
| ~ apply(skc5,u,skc8)
| equal(skc8,u) ),
inference(res,[status(thm),theory(equality)],[2,51]),
[iquote('0:Res:2.0,51.2')] ).
cnf(87,plain,
( ~ member(skc8,skc6)
| ~ apply(skc5,skc8,skc7) ),
inference(res,[status(thm),theory(equality)],[76,3]),
[iquote('0:Res:76.2,3.0')] ).
cnf(90,plain,
~ apply(skc5,skc8,skc7),
inference(mrr,[status(thm)],[87,83]),
[iquote('0:MRR:87.0,83.0')] ).
cnf(96,plain,
( ~ member(skc8,skc6)
| ~ member(skc9,skc6)
| equal(skc9,skc8) ),
inference(res,[status(thm),theory(equality)],[74,84]),
[iquote('0:Res:74.1,84.1')] ).
cnf(97,plain,
equal(skc9,skc8),
inference(mrr,[status(thm)],[96,83,73]),
[iquote('0:MRR:96.0,96.1,83.0,73.0')] ).
cnf(100,plain,
( ~ member(u,skc6)
| apply(skc5,skc8,u) ),
inference(rew,[status(thm),theory(equality)],[97,74]),
[iquote('0:Rew:97.0,74.1')] ).
cnf(104,plain,
~ member(skc7,skc6),
inference(res,[status(thm),theory(equality)],[100,90]),
[iquote('0:Res:100.1,90.0')] ).
cnf(105,plain,
$false,
inference(mrr,[status(thm)],[104,75]),
[iquote('0:MRR:104.0,75.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 12:47:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.39/0.59
% 0.39/0.59 SPASS V 3.9
% 0.39/0.59 SPASS beiseite: Proof found.
% 0.39/0.59 % SZS status Theorem
% 0.39/0.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.59 SPASS derived 36 clauses, backtracked 0 clauses, performed 1 splits and kept 90 clauses.
% 0.39/0.59 SPASS allocated 88105 KBytes.
% 0.39/0.59 SPASS spent 0:00:00.24 on the problem.
% 0.39/0.59 0:00:00.04 for the input.
% 0.39/0.59 0:00:00.18 for the FLOTTER CNF translation.
% 0.39/0.59 0:00:00.00 for inferences.
% 0.39/0.59 0:00:00.00 for the backtracking.
% 0.39/0.59 0:00:00.00 for the reduction.
% 0.39/0.59
% 0.39/0.59
% 0.39/0.59 Here is a proof with depth 3, length 21 :
% 0.39/0.59 % SZS output start Refutation
% See solution above
% 0.39/0.59 Formulae used in the proof : thIV16 least min
% 0.39/0.59
%------------------------------------------------------------------------------