TSTP Solution File: SET793+4 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 : Tue Jul 19 05:28:42 EDT 2022
% Result : Theorem 0.55s 0.71s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 11 unt; 6 nHn; 24 RR)
% Number of literals : 48 ( 0 equ; 22 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
total_order(skc3,skc4),
file('SET793+4.p',unknown),
[] ).
cnf(2,axiom,
max(skc5,skc3,skc4),
file('SET793+4.p',unknown),
[] ).
cnf(3,axiom,
~ greatest(skc5,skc3,skc4),
file('SET793+4.p',unknown),
[] ).
cnf(12,axiom,
( ~ max(u,v,w)
| member(u,w) ),
file('SET793+4.p',unknown),
[] ).
cnf(33,axiom,
( ~ member(u,v)
| member(skf26(v,w,x),v)
| greatest(u,y,v) ),
file('SET793+4.p',unknown),
[] ).
cnf(46,axiom,
( ~ member(u,v)
| ~ apply(w,skf26(v,u,w),u)
| greatest(u,w,v) ),
file('SET793+4.p',unknown),
[] ).
cnf(48,axiom,
( ~ member(u,v)
| ~ max(w,x,v)
| ~ apply(x,w,u)
| equal(w,u) ),
file('SET793+4.p',unknown),
[] ).
cnf(54,axiom,
( ~ total_order(u,v)
| ~ member(w,v)
| ~ member(x,v)
| apply(u,w,x)
| apply(u,x,w) ),
file('SET793+4.p',unknown),
[] ).
cnf(65,plain,
( ~ member(u,skc4)
| ~ member(v,skc4)
| apply(skc3,u,v)
| apply(skc3,v,u) ),
inference(res,[status(thm),theory(equality)],[1,54]),
[iquote('0:Res:1.0,54.2')] ).
cnf(66,plain,
member(skc5,skc4),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.0')] ).
cnf(67,plain,
( ~ member(u,skc4)
| ~ apply(skc3,skc5,u)
| equal(skc5,u) ),
inference(res,[status(thm),theory(equality)],[2,48]),
[iquote('0:Res:2.0,48.2')] ).
cnf(68,plain,
( ~ apply(skc3,skf26(skc4,skc5,skc3),skc5)
| ~ member(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[46,3]),
[iquote('0:Res:46.2,3.0')] ).
cnf(69,plain,
( ~ member(skc5,skc4)
| member(skf26(skc4,u,v),skc4) ),
inference(res,[status(thm),theory(equality)],[33,3]),
[iquote('0:Res:33.2,3.0')] ).
cnf(70,plain,
member(skf26(skc4,u,v),skc4),
inference(mrr,[status(thm)],[69,66]),
[iquote('0:MRR:69.0,66.0')] ).
cnf(71,plain,
~ apply(skc3,skf26(skc4,skc5,skc3),skc5),
inference(mrr,[status(thm)],[68,66]),
[iquote('0:MRR:68.1,66.0')] ).
cnf(535,plain,
( ~ member(u,skc4)
| apply(skc3,skc5,u)
| apply(skc3,u,skc5) ),
inference(res,[status(thm),theory(equality)],[66,65]),
[iquote('0:Res:66.0,65.0')] ).
cnf(561,plain,
( apply(skc3,skc5,skc5)
| apply(skc3,skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[66,535]),
[iquote('0:Res:66.0,535.0')] ).
cnf(564,plain,
( apply(skc3,skc5,skf26(skc4,u,v))
| apply(skc3,skf26(skc4,u,v),skc5) ),
inference(res,[status(thm),theory(equality)],[70,535]),
[iquote('0:Res:70.0,535.0')] ).
cnf(587,plain,
apply(skc3,skc5,skc5),
inference(obv,[status(thm),theory(equality)],[561]),
[iquote('0:Obv:561.0')] ).
cnf(856,plain,
apply(skc3,skc5,skf26(skc4,skc5,skc3)),
inference(res,[status(thm),theory(equality)],[564,71]),
[iquote('0:Res:564.1,71.0')] ).
cnf(859,plain,
( ~ member(skf26(skc4,skc5,skc3),skc4)
| equal(skf26(skc4,skc5,skc3),skc5) ),
inference(res,[status(thm),theory(equality)],[856,67]),
[iquote('0:Res:856.0,67.1')] ).
cnf(860,plain,
equal(skf26(skc4,skc5,skc3),skc5),
inference(mrr,[status(thm)],[859,70]),
[iquote('0:MRR:859.0,70.0')] ).
cnf(861,plain,
~ apply(skc3,skc5,skc5),
inference(rew,[status(thm),theory(equality)],[860,71]),
[iquote('0:Rew:860.0,71.0')] ).
cnf(863,plain,
$false,
inference(mrr,[status(thm)],[861,587]),
[iquote('0:MRR:861.0,587.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 02:08:28 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.55/0.71
% 0.55/0.71 SPASS V 3.9
% 0.55/0.71 SPASS beiseite: Proof found.
% 0.55/0.71 % SZS status Theorem
% 0.55/0.71 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.71 SPASS derived 701 clauses, backtracked 152 clauses, performed 9 splits and kept 575 clauses.
% 0.55/0.71 SPASS allocated 87875 KBytes.
% 0.55/0.71 SPASS spent 0:00:00.34 on the problem.
% 0.55/0.71 0:00:00.04 for the input.
% 0.55/0.71 0:00:00.17 for the FLOTTER CNF translation.
% 0.55/0.71 0:00:00.01 for inferences.
% 0.55/0.71 0:00:00.00 for the backtracking.
% 0.55/0.71 0:00:00.09 for the reduction.
% 0.55/0.71
% 0.55/0.71
% 0.55/0.71 Here is a proof with depth 5, length 24 :
% 0.55/0.71 % SZS output start Refutation
% See solution above
% 0.55/0.71 Formulae used in the proof : thIV5 max greatest total_order
% 0.55/0.71
%------------------------------------------------------------------------------