%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM614+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 14:28:07 EDT 2022
% Result : Theorem 24.84s 25.01s
% Output : Refutation 24.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 31 ( 0 equ; 23 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(13,axiom,
aSet0(xO),
file('NUM614+1.p',unknown),
[] ).
cnf(14,axiom,
isCountable0(xO),
file('NUM614+1.p',unknown),
[] ).
cnf(19,axiom,
aElementOf0(xk,szNzAzT0),
file('NUM614+1.p',unknown),
[] ).
cnf(27,axiom,
aSubsetOf0(xP,xO),
file('NUM614+1.p',unknown),
[] ).
cnf(45,axiom,
equal(sbrdtbr0(xP),xk),
file('NUM614+1.p',unknown),
[] ).
cnf(51,axiom,
~ aElementOf0(xP,slbdtsldtrb0(xO,xk)),
file('NUM614+1.p',unknown),
[] ).
cnf(180,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aElementOf0(w,szNzAzT0)
| ~ equal(x,slbdtsldtrb0(u,w))
| ~ equal(sbrdtbr0(v),w)
| aElementOf0(v,x) ),
file('NUM614+1.p',unknown),
[] ).
cnf(5058,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aElementOf0(w,szNzAzT0)
| ~ equal(sbrdtbr0(v),w)
| aElementOf0(v,slbdtsldtrb0(u,w)) ),
inference(eqr,[status(thm),theory(equality)],[180]),
[iquote('0:EqR:180.3')] ).
cnf(41743,plain,
( ~ aSet0(xO)
| ~ aSubsetOf0(xP,xO)
| ~ aElementOf0(xk,szNzAzT0)
| ~ equal(sbrdtbr0(xP),xk) ),
inference(res,[status(thm),theory(equality)],[5058,51]),
[iquote('0:Res:5058.4,51.0')] ).
cnf(41744,plain,
( ~ aSet0(xO)
| ~ aSubsetOf0(xP,xO)
| ~ aElementOf0(xk,szNzAzT0)
| ~ equal(xk,xk) ),
inference(rew,[status(thm),theory(equality)],[45,41743]),
[iquote('0:Rew:45.0,41743.3')] ).
cnf(41745,plain,
( ~ aSet0(xO)
| ~ aSubsetOf0(xP,xO)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(obv,[status(thm),theory(equality)],[41744]),
[iquote('0:Obv:41744.3')] ).
cnf(41746,plain,
( ~ aSubsetOf0(xP,xO)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(ssi,[status(thm)],[41745,13,14]),
[iquote('0:SSi:41745.0,13.0,14.0')] ).
cnf(41747,plain,
$false,
inference(mrr,[status(thm)],[41746,27,19]),
[iquote('0:MRR:41746.0,41746.1,27.0,19.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM614+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n013.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 12:02:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 24.84/25.01
% 24.84/25.01 SPASS V 3.9
% 24.84/25.01 SPASS beiseite: Proof found.
% 24.84/25.01 % SZS status Theorem
% 24.84/25.01 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.84/25.01 SPASS derived 32659 clauses, backtracked 7157 clauses, performed 67 splits and kept 17452 clauses.
% 24.84/25.01 SPASS allocated 127944 KBytes.
% 24.84/25.01 SPASS spent 0:0:23.18 on the problem.
% 24.84/25.01 0:00:00.04 for the input.
% 24.84/25.01 0:00:00.30 for the FLOTTER CNF translation.
% 24.84/25.01 0:00:00.56 for inferences.
% 24.84/25.01 0:00:00.82 for the backtracking.
% 24.84/25.01 0:0:21.08 for the reduction.
% 24.84/25.01
% 24.84/25.01
% 24.84/25.01 Here is a proof with depth 2, length 13 :
% 24.84/25.01 % SZS output start Refutation
% See solution above
% 24.84/25.01 Formulae used in the proof : m__4908 m__3533 m__5208 m__5217 m__ mDefSel
% 24.84/25.01
%------------------------------------------------------------------------------