TSTP Solution File: NUM443+4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM443+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 14:26:14 EDT 2022
% Result : Theorem 2.24s 2.44s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 13 unt; 6 nHn; 24 RR)
% Number of literals : 57 ( 0 equ; 31 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
aInteger0(xa),
file('NUM443+4.p',unknown),
[] ).
cnf(5,axiom,
aInteger0(xq),
file('NUM443+4.p',unknown),
[] ).
cnf(6,axiom,
aInteger0(xb),
file('NUM443+4.p',unknown),
[] ).
cnf(7,axiom,
aInteger0(xc),
file('NUM443+4.p',unknown),
[] ).
cnf(11,axiom,
sdteqdtlpzmzozddtrp0(xc,xb,xq),
file('NUM443+4.p',unknown),
[] ).
cnf(14,axiom,
~ equal(xq,sz00),
file('NUM443+4.p',unknown),
[] ).
cnf(15,axiom,
aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
file('NUM443+4.p',unknown),
[] ).
cnf(16,axiom,
~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
file('NUM443+4.p',unknown),
[] ).
cnf(41,axiom,
( ~ aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdteqdtlpzmzozddtrp0(u,xa,xq) ),
file('NUM443+4.p',unknown),
[] ).
cnf(58,axiom,
( ~ aInteger0(u)
| ~ sdteqdtlpzmzozddtrp0(u,xa,xq)
| aElementOf0(u,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
file('NUM443+4.p',unknown),
[] ).
cnf(98,axiom,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(w)
| ~ sdteqdtlpzmzozddtrp0(w,v,u)
| equal(u,sz00)
| sdteqdtlpzmzozddtrp0(v,w,u) ),
file('NUM443+4.p',unknown),
[] ).
cnf(118,axiom,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(w)
| ~ aInteger0(x)
| ~ sdteqdtlpzmzozddtrp0(x,w,v)
| ~ sdteqdtlpzmzozddtrp0(w,u,v)
| equal(v,sz00)
| sdteqdtlpzmzozddtrp0(x,u,v) ),
file('NUM443+4.p',unknown),
[] ).
cnf(695,plain,
sdteqdtlpzmzozddtrp0(xc,xa,xq),
inference(res,[status(thm),theory(equality)],[15,41]),
[iquote('0:Res:15.0,41.0')] ).
cnf(1628,plain,
( ~ aInteger0(xb)
| ~ sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
inference(res,[status(thm),theory(equality)],[58,16]),
[iquote('0:Res:58.2,16.0')] ).
cnf(1632,plain,
~ sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(ssi,[status(thm)],[1628,6]),
[iquote('0:SSi:1628.0,6.0')] ).
cnf(3098,plain,
( ~ aInteger0(xq)
| ~ aInteger0(xb)
| ~ aInteger0(xc)
| equal(xq,sz00)
| sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(res,[status(thm),theory(equality)],[11,98]),
[iquote('0:Res:11.0,98.3')] ).
cnf(3109,plain,
( equal(xq,sz00)
| sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(ssi,[status(thm)],[3098,7,6,5]),
[iquote('0:SSi:3098.2,3098.1,3098.0,7.0,6.0,5.0')] ).
cnf(3110,plain,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
inference(mrr,[status(thm)],[3109,14]),
[iquote('0:MRR:3109.0,14.0')] ).
cnf(8464,plain,
( ~ aInteger0(u)
| ~ aInteger0(xq)
| ~ aInteger0(xc)
| ~ aInteger0(xb)
| ~ sdteqdtlpzmzozddtrp0(xc,u,xq)
| equal(xq,sz00)
| sdteqdtlpzmzozddtrp0(xb,u,xq) ),
inference(res,[status(thm),theory(equality)],[3110,118]),
[iquote('0:Res:3110.0,118.4')] ).
cnf(8476,plain,
( ~ aInteger0(u)
| ~ sdteqdtlpzmzozddtrp0(xc,u,xq)
| equal(xq,sz00)
| sdteqdtlpzmzozddtrp0(xb,u,xq) ),
inference(ssi,[status(thm)],[8464,6,7,5]),
[iquote('0:SSi:8464.3,8464.2,8464.1,6.0,7.0,5.0')] ).
cnf(8477,plain,
( ~ aInteger0(u)
| ~ sdteqdtlpzmzozddtrp0(xc,u,xq)
| sdteqdtlpzmzozddtrp0(xb,u,xq) ),
inference(mrr,[status(thm)],[8476,14]),
[iquote('0:MRR:8476.2,14.0')] ).
cnf(8610,plain,
( ~ aInteger0(xa)
| sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
inference(res,[status(thm),theory(equality)],[695,8477]),
[iquote('0:Res:695.0,8477.1')] ).
cnf(8614,plain,
sdteqdtlpzmzozddtrp0(xb,xa,xq),
inference(ssi,[status(thm)],[8610,4]),
[iquote('0:SSi:8610.0,4.0')] ).
cnf(8615,plain,
$false,
inference(mrr,[status(thm)],[8614,1632]),
[iquote('0:MRR:8614.0,1632.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM443+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n029.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 : Fri Jul 8 02:34:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.24/2.44
% 2.24/2.44 SPASS V 3.9
% 2.24/2.44 SPASS beiseite: Proof found.
% 2.24/2.44 % SZS status Theorem
% 2.24/2.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/2.44 SPASS derived 5329 clauses, backtracked 2072 clauses, performed 35 splits and kept 4227 clauses.
% 2.24/2.44 SPASS allocated 104215 KBytes.
% 2.24/2.44 SPASS spent 0:00:01.91 on the problem.
% 2.24/2.44 0:00:00.03 for the input.
% 2.24/2.44 0:00:00.17 for the FLOTTER CNF translation.
% 2.24/2.44 0:00:00.04 for inferences.
% 2.24/2.44 0:00:00.04 for the backtracking.
% 2.24/2.44 0:00:01.53 for the reduction.
% 2.24/2.44
% 2.24/2.44
% 2.24/2.44 Here is a proof with depth 3, length 24 :
% 2.24/2.44 % SZS output start Refutation
% See solution above
% 2.24/2.44 Formulae used in the proof : m__1962 m__2010 m__ mEquModSym mEquModTrn
% 2.24/2.44
%------------------------------------------------------------------------------