TSTP Solution File: NUM621+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM621+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 : Mon Jul 18 14:28:12 EDT 2022
% Result : Theorem 2.45s 2.65s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 23 ( 14 unt; 0 nHn; 23 RR)
% Number of literals : 37 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(30,axiom,
aElementOf0(xp,xQ),
file('NUM621+3.p',unknown),
[] ).
cnf(33,axiom,
aElementOf0(xn,szNzAzT0),
file('NUM621+3.p',unknown),
[] ).
cnf(34,axiom,
aElementOf0(xx,xQ),
file('NUM621+3.p',unknown),
[] ).
cnf(36,axiom,
aElementOf0(xx,szNzAzT0),
file('NUM621+3.p',unknown),
[] ).
cnf(55,axiom,
equal(szmzizndt0(xQ),xp),
file('NUM621+3.p',unknown),
[] ).
cnf(71,axiom,
equal(sdtlpdtrp0(xe,xn),xp),
file('NUM621+3.p',unknown),
[] ).
cnf(72,axiom,
~ equal(szmzizndt0(xQ),xx),
file('NUM621+3.p',unknown),
[] ).
cnf(107,axiom,
( ~ aElementOf0(u,xQ)
| aElementOf0(u,szNzAzT0) ),
file('NUM621+3.p',unknown),
[] ).
cnf(109,axiom,
( ~ aElementOf0(u,xQ)
| sdtlseqdt0(xp,u) ),
file('NUM621+3.p',unknown),
[] ).
cnf(139,axiom,
( ~ aElementOf0(u,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,u) ),
file('NUM621+3.p',unknown),
[] ).
cnf(149,axiom,
( ~ aElementOf0(u,sdtlpdtrp0(xN,xn))
| aElementOf0(u,sdtlpdtrp0(xN,xm)) ),
file('NUM621+3.p',unknown),
[] ).
cnf(157,axiom,
( ~ aElementOf0(u,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,u),sdtlpdtrp0(xN,u)) ),
file('NUM621+3.p',unknown),
[] ).
cnf(270,axiom,
( ~ sdtlseqdt0(u,v)
| ~ sdtlseqdt0(v,u)
| ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(v,szNzAzT0)
| equal(v,u) ),
file('NUM621+3.p',unknown),
[] ).
cnf(424,plain,
~ equal(xp,xx),
inference(rew,[status(thm),theory(equality)],[55,72]),
[iquote('0:Rew:55.0,72.0')] ).
cnf(579,plain,
aElementOf0(xp,szNzAzT0),
inference(res,[status(thm),theory(equality)],[30,107]),
[iquote('0:Res:30.0,107.0')] ).
cnf(902,plain,
( ~ aElementOf0(u,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(xx,u) ),
inference(res,[status(thm),theory(equality)],[149,139]),
[iquote('0:Res:149.1,139.0')] ).
cnf(911,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(spr,[status(thm),theory(equality)],[71,157]),
[iquote('0:SpR:71.0,157.1')] ).
cnf(921,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(mrr,[status(thm)],[911,33]),
[iquote('0:MRR:911.0,33.0')] ).
cnf(2131,plain,
sdtlseqdt0(xx,xp),
inference(res,[status(thm),theory(equality)],[921,902]),
[iquote('0:Res:921.0,902.0')] ).
cnf(5287,plain,
( ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xx,szNzAzT0)
| ~ aElementOf0(xp,szNzAzT0)
| equal(xp,xx) ),
inference(res,[status(thm),theory(equality)],[2131,270]),
[iquote('0:Res:2131.0,270.0')] ).
cnf(5309,plain,
~ sdtlseqdt0(xp,xx),
inference(mrr,[status(thm)],[5287,36,579,424]),
[iquote('0:MRR:5287.1,5287.2,5287.3,36.0,579.0,424.0')] ).
cnf(5326,plain,
~ aElementOf0(xx,xQ),
inference(res,[status(thm),theory(equality)],[109,5309]),
[iquote('0:Res:109.1,5309.0')] ).
cnf(5327,plain,
$false,
inference(mrr,[status(thm)],[5326,34]),
[iquote('0:MRR:5326.0,34.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : NUM621+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n004.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
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jul 5 06:48:22 EDT 2022
% 0.15/0.36 % CPUTime :
% 2.45/2.65
% 2.45/2.65 SPASS V 3.9
% 2.45/2.65 SPASS beiseite: Proof found.
% 2.45/2.65 % SZS status Theorem
% 2.45/2.65 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.45/2.65 SPASS derived 3582 clauses, backtracked 380 clauses, performed 4 splits and kept 2611 clauses.
% 2.45/2.65 SPASS allocated 105200 KBytes.
% 2.45/2.65 SPASS spent 0:00:02.23 on the problem.
% 2.45/2.65 0:00:00.04 for the input.
% 2.45/2.65 0:00:00.91 for the FLOTTER CNF translation.
% 2.45/2.65 0:00:00.07 for inferences.
% 2.45/2.65 0:00:00.01 for the backtracking.
% 2.45/2.65 0:00:01.11 for the reduction.
% 2.45/2.65
% 2.45/2.65
% 2.45/2.65 Here is a proof with depth 4, length 23 :
% 2.45/2.65 % SZS output start Refutation
% See solution above
% 2.45/2.65 Formulae used in the proof : m__5173 m__5309 m__5348 m__5365 m__5147 m__5106 m__5401 m__ m__4660 mLessASymm
% 2.45/2.65
%------------------------------------------------------------------------------