TSTP Solution File: NUM592+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM592+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 14:27:52 EDT 2022
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 28 ( 13 unt; 0 nHn; 28 RR)
% Number of literals : 56 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
aSet0(szNzAzT0),
file('NUM592+1.p',unknown),
[] ).
cnf(3,axiom,
isCountable0(szNzAzT0),
file('NUM592+1.p',unknown),
[] ).
cnf(12,axiom,
isCountable0(xX),
file('NUM592+1.p',unknown),
[] ).
cnf(19,axiom,
aSubsetOf0(xY,szNzAzT0),
file('NUM592+1.p',unknown),
[] ).
cnf(20,axiom,
aElementOf0(xu,xT),
file('NUM592+1.p',unknown),
[] ).
cnf(21,axiom,
aSubsetOf0(xX,xY),
file('NUM592+1.p',unknown),
[] ).
cnf(22,axiom,
aSet0(skf22(u,v)),
file('NUM592+1.p',unknown),
[] ).
cnf(34,axiom,
equal(sdtlpdtrp0(xC,xi),xd),
file('NUM592+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aSet0(v) ),
file('NUM592+1.p',unknown),
[] ).
cnf(69,axiom,
equal(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xY),
file('NUM592+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ aSet0(u)
| ~ aElementOf0(u,slbdtsldtrb0(xX,xk))
| equal(sdtlpdtrp0(xd,u),xu) ),
file('NUM592+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ isCountable0(u)
| ~ aSubsetOf0(u,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(v,xT)
| aElementOf0(skf22(v,u),slbdtsldtrb0(u,xk)) ),
file('NUM592+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ isCountable0(u)
| ~ aElementOf0(v,xT)
| ~ aSubsetOf0(u,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),skf22(v,u)),v) ),
file('NUM592+1.p',unknown),
[] ).
cnf(197,plain,
( ~ isCountable0(u)
| ~ aElementOf0(v,xT)
| ~ aSubsetOf0(u,xY)
| aElementOf0(skf22(v,u),slbdtsldtrb0(u,xk)) ),
inference(rew,[status(thm),theory(equality)],[69,158]),
[iquote('0:Rew:69.0,158.1')] ).
cnf(199,plain,
( ~ isCountable0(u)
| ~ aSubsetOf0(u,xY)
| ~ aElementOf0(v,xT)
| ~ equal(sdtlpdtrp0(xd,skf22(v,u)),v) ),
inference(rew,[status(thm),theory(equality)],[34,171,69]),
[iquote('0:Rew:34.0,171.3,69.0,171.2')] ).
cnf(281,plain,
( ~ isCountable0(xX)
| ~ aElementOf0(u,xT)
| aElementOf0(skf22(u,xX),slbdtsldtrb0(xX,xk)) ),
inference(res,[status(thm),theory(equality)],[21,197]),
[iquote('0:Res:21.0,197.1')] ).
cnf(291,plain,
( ~ isCountable0(xX)
| ~ aElementOf0(u,xT)
| ~ equal(sdtlpdtrp0(xd,skf22(u,xX)),u) ),
inference(res,[status(thm),theory(equality)],[21,199]),
[iquote('0:Res:21.0,199.2')] ).
cnf(292,plain,
( ~ aElementOf0(u,xT)
| aElementOf0(skf22(u,xX),slbdtsldtrb0(xX,xk)) ),
inference(mrr,[status(thm)],[281,12]),
[iquote('0:MRR:281.0,12.0')] ).
cnf(294,plain,
( ~ aElementOf0(u,xT)
| ~ equal(sdtlpdtrp0(xd,skf22(u,xX)),u) ),
inference(mrr,[status(thm)],[291,12]),
[iquote('0:MRR:291.0,12.0')] ).
cnf(374,plain,
( ~ aSet0(xY)
| aSet0(xX) ),
inference(res,[status(thm),theory(equality)],[21,59]),
[iquote('0:Res:21.0,59.1')] ).
cnf(375,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xY) ),
inference(res,[status(thm),theory(equality)],[19,59]),
[iquote('0:Res:19.0,59.1')] ).
cnf(382,plain,
aSet0(xY),
inference(ssi,[status(thm)],[375,3,2]),
[iquote('0:SSi:375.0,3.0,2.0')] ).
cnf(383,plain,
aSet0(xX),
inference(mrr,[status(thm)],[374,382]),
[iquote('0:MRR:374.0,382.0')] ).
cnf(683,plain,
( ~ aSet0(skf22(u,xX))
| ~ aElementOf0(u,xT)
| equal(sdtlpdtrp0(xd,skf22(u,xX)),xu) ),
inference(res,[status(thm),theory(equality)],[292,94]),
[iquote('0:Res:292.1,94.1')] ).
cnf(684,plain,
( ~ aElementOf0(u,xT)
| equal(sdtlpdtrp0(xd,skf22(u,xX)),xu) ),
inference(ssi,[status(thm)],[683,22,12,383]),
[iquote('0:SSi:683.0,22.0,12.0,383.0')] ).
cnf(685,plain,
( ~ aElementOf0(u,xT)
| ~ equal(xu,u) ),
inference(rew,[status(thm),theory(equality)],[684,294]),
[iquote('0:Rew:684.1,294.1')] ).
cnf(686,plain,
~ equal(xu,xu),
inference(res,[status(thm),theory(equality)],[20,685]),
[iquote('0:Res:20.0,685.0')] ).
cnf(689,plain,
$false,
inference(obv,[status(thm),theory(equality)],[686]),
[iquote('0:Obv:686.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM592+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n003.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 : Wed Jul 6 05:29:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.56/0.75
% 0.56/0.75 SPASS V 3.9
% 0.56/0.75 SPASS beiseite: Proof found.
% 0.56/0.75 % SZS status Theorem
% 0.56/0.75 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.75 SPASS derived 325 clauses, backtracked 0 clauses, performed 0 splits and kept 339 clauses.
% 0.56/0.75 SPASS allocated 100922 KBytes.
% 0.56/0.75 SPASS spent 0:00:00.40 on the problem.
% 0.56/0.75 0:00:00.04 for the input.
% 0.56/0.75 0:00:00.28 for the FLOTTER CNF translation.
% 0.56/0.75 0:00:00.01 for inferences.
% 0.56/0.75 0:00:00.00 for the backtracking.
% 0.56/0.75 0:00:00.04 for the reduction.
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 Here is a proof with depth 2, length 28 :
% 0.56/0.75 % SZS output start Refutation
% See solution above
% 0.56/0.75 Formulae used in the proof : mNATSet m__4545 m__4482 m__ m__3291 m__4448_02 mDefSub
% 0.56/0.75
%------------------------------------------------------------------------------