%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM601+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 14:27:58 EDT 2022
% Result : Theorem 1.92s 2.11s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 24 ( 9 unt; 0 nHn; 24 RR)
% Number of literals : 47 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
aSet0(xS),
file('NUM601+3.p',unknown),
[] ).
cnf(16,axiom,
aElementOf0(skc1,xO),
file('NUM601+3.p',unknown),
[] ).
cnf(17,axiom,
aElementOf0(sz00,szNzAzT0),
file('NUM601+3.p',unknown),
[] ).
cnf(22,axiom,
~ aElementOf0(skc1,xS),
file('NUM601+3.p',unknown),
[] ).
cnf(35,axiom,
equal(szDzozmdt0(xd),szNzAzT0),
file('NUM601+3.p',unknown),
[] ).
cnf(43,axiom,
equal(sdtlpdtrp0(xN,sz00),xS),
file('NUM601+3.p',unknown),
[] ).
cnf(60,axiom,
( ~ aElementOf0(u,szNzAzT0)
| sdtlseqdt0(sz00,u) ),
file('NUM601+3.p',unknown),
[] ).
cnf(66,axiom,
aElementOf0(skf93(u),sdtlbdtrb0(xd,szDzizrdt0(xd))),
file('NUM601+3.p',unknown),
[] ).
cnf(95,axiom,
( ~ aElementOf0(u,xO)
| equal(sdtlpdtrp0(xe,skf93(u)),u) ),
file('NUM601+3.p',unknown),
[] ).
cnf(105,axiom,
( ~ aElementOf0(u,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,u),sdtlpdtrp0(xN,u)) ),
file('NUM601+3.p',unknown),
[] ).
cnf(107,axiom,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(u,szDzozmdt0(xd)) ),
file('NUM601+3.p',unknown),
[] ).
cnf(138,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aSubsetOf0(w,u)
| aElementOf0(v,u) ),
file('NUM601+3.p',unknown),
[] ).
cnf(224,axiom,
( ~ sdtlseqdt0(u,v)
| ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(v,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,v),sdtlpdtrp0(xN,u)) ),
file('NUM601+3.p',unknown),
[] ).
cnf(374,plain,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(u,szNzAzT0) ),
inference(rew,[status(thm),theory(equality)],[35,107]),
[iquote('0:Rew:35.0,107.1')] ).
cnf(505,plain,
( ~ aSet0(xS)
| ~ aSubsetOf0(u,xS)
| ~ aElementOf0(skc1,u) ),
inference(res,[status(thm),theory(equality)],[138,22]),
[iquote('0:Res:138.3,22.0')] ).
cnf(517,plain,
( ~ aSubsetOf0(u,xS)
| ~ aElementOf0(skc1,u) ),
inference(mrr,[status(thm)],[505,6]),
[iquote('0:MRR:505.0,6.0')] ).
cnf(670,plain,
aElementOf0(skf93(u),szNzAzT0),
inference(res,[status(thm),theory(equality)],[66,374]),
[iquote('0:Res:66.0,374.0')] ).
cnf(753,plain,
( ~ aElementOf0(u,xO)
| ~ aElementOf0(skf93(u),szNzAzT0)
| aElementOf0(u,sdtlpdtrp0(xN,skf93(u))) ),
inference(spr,[status(thm),theory(equality)],[95,105]),
[iquote('0:SpR:95.1,105.1')] ).
cnf(761,plain,
( ~ aElementOf0(u,xO)
| aElementOf0(u,sdtlpdtrp0(xN,skf93(u))) ),
inference(mrr,[status(thm)],[753,670]),
[iquote('0:MRR:753.1,670.0')] ).
cnf(5658,plain,
( ~ sdtlseqdt0(sz00,u)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(u,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(spr,[status(thm),theory(equality)],[43,224]),
[iquote('0:SpR:43.0,224.3')] ).
cnf(5664,plain,
( ~ aElementOf0(u,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,u),xS) ),
inference(mrr,[status(thm)],[5658,60,17]),
[iquote('0:MRR:5658.0,5658.1,60.1,17.0')] ).
cnf(5683,plain,
( ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(skc1,sdtlpdtrp0(xN,u)) ),
inference(res,[status(thm),theory(equality)],[5664,517]),
[iquote('0:Res:5664.1,517.0')] ).
cnf(5704,plain,
( ~ aElementOf0(skc1,xO)
| ~ aElementOf0(skf93(skc1),szNzAzT0) ),
inference(res,[status(thm),theory(equality)],[761,5683]),
[iquote('0:Res:761.1,5683.1')] ).
cnf(5708,plain,
$false,
inference(mrr,[status(thm)],[5704,16,670]),
[iquote('0:MRR:5704.0,5704.1,16.0,670.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM601+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 04:59:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.92/2.11
% 1.92/2.11 SPASS V 3.9
% 1.92/2.11 SPASS beiseite: Proof found.
% 1.92/2.11 % SZS status Theorem
% 1.92/2.11 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.92/2.11 SPASS derived 4025 clauses, backtracked 711 clauses, performed 12 splits and kept 3041 clauses.
% 1.92/2.11 SPASS allocated 104653 KBytes.
% 1.92/2.11 SPASS spent 0:00:01.73 on the problem.
% 1.92/2.11 0:00:00.04 for the input.
% 1.92/2.11 0:00:00.68 for the FLOTTER CNF translation.
% 1.92/2.11 0:00:00.06 for inferences.
% 1.92/2.11 0:00:00.03 for the backtracking.
% 1.92/2.11 0:00:00.86 for the reduction.
% 1.92/2.11
% 1.92/2.11
% 1.92/2.11 Here is a proof with depth 3, length 24 :
% 1.92/2.11 % SZS output start Refutation
% See solution above
% 1.92/2.11 Formulae used in the proof : m__3435 m__ mZeroNum m__4730 m__3623 mZeroLess m__4891 m__4982 m__4660 mDefSub m__3754
% 1.92/2.11
%------------------------------------------------------------------------------