TSTP Solution File: SET776+4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 05:28:35 EDT 2022
% Result : Theorem 45.45s 45.70s
% Output : Refutation 45.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 22 RR)
% Number of literals : 51 ( 0 equ; 31 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
member(skc13,skc7),
file('SET776+4.p',unknown),
[] ).
cnf(2,axiom,
member(skc12,skc7),
file('SET776+4.p',unknown),
[] ).
cnf(3,axiom,
member(skc11,skc7),
file('SET776+4.p',unknown),
[] ).
cnf(4,axiom,
member(skc10,skc7),
file('SET776+4.p',unknown),
[] ).
cnf(5,axiom,
pre_order(skc8,skc7),
file('SET776+4.p',unknown),
[] ).
cnf(6,axiom,
apply(skc9,skc13,skc11),
file('SET776+4.p',unknown),
[] ).
cnf(7,axiom,
apply(skc8,skc13,skc12),
file('SET776+4.p',unknown),
[] ).
cnf(8,axiom,
apply(skc9,skc12,skc10),
file('SET776+4.p',unknown),
[] ).
cnf(10,axiom,
~ apply(skc8,skc11,skc10),
file('SET776+4.p',unknown),
[] ).
cnf(80,axiom,
( ~ member(u,skc7)
| ~ member(v,skc7)
| ~ apply(skc9,v,u)
| apply(skc8,v,u) ),
file('SET776+4.p',unknown),
[] ).
cnf(81,axiom,
( ~ member(u,skc7)
| ~ member(v,skc7)
| ~ apply(skc9,v,u)
| apply(skc8,u,v) ),
file('SET776+4.p',unknown),
[] ).
cnf(89,axiom,
( ~ pre_order(u,v)
| ~ member(w,v)
| ~ member(x,v)
| ~ member(y,v)
| ~ apply(u,x,w)
| ~ apply(u,y,x)
| apply(u,y,w) ),
file('SET776+4.p',unknown),
[] ).
cnf(137,plain,
( ~ pre_order(u,skc7)
| ~ member(v,skc7)
| ~ member(w,skc7)
| ~ apply(u,w,v)
| ~ apply(u,skc11,w)
| apply(u,skc11,v) ),
inference(res,[status(thm),theory(equality)],[3,89]),
[iquote('0:Res:3.0,89.0')] ).
cnf(1525,plain,
( ~ member(skc11,skc7)
| ~ member(skc13,skc7)
| apply(skc8,skc11,skc13) ),
inference(res,[status(thm),theory(equality)],[6,81]),
[iquote('0:Res:6.0,81.2')] ).
cnf(1538,plain,
apply(skc8,skc11,skc13),
inference(mrr,[status(thm)],[1525,3,1]),
[iquote('0:MRR:1525.0,1525.1,3.0,1.0')] ).
cnf(1555,plain,
( ~ member(skc10,skc7)
| ~ member(skc12,skc7)
| apply(skc8,skc12,skc10) ),
inference(res,[status(thm),theory(equality)],[8,80]),
[iquote('0:Res:8.0,80.2')] ).
cnf(1568,plain,
apply(skc8,skc12,skc10),
inference(mrr,[status(thm)],[1555,4,2]),
[iquote('0:MRR:1555.0,1555.1,4.0,2.0')] ).
cnf(44426,plain,
( ~ pre_order(skc8,skc7)
| ~ member(skc12,skc7)
| ~ member(skc13,skc7)
| ~ apply(skc8,skc11,skc13)
| apply(skc8,skc11,skc12) ),
inference(res,[status(thm),theory(equality)],[7,137]),
[iquote('0:Res:7.0,137.3')] ).
cnf(44467,plain,
( ~ pre_order(skc8,skc7)
| ~ member(skc10,skc7)
| ~ member(skc12,skc7)
| ~ apply(skc8,skc11,skc12)
| apply(skc8,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[1568,137]),
[iquote('0:Res:1568.0,137.3')] ).
cnf(44493,plain,
~ apply(skc8,skc11,skc12),
inference(mrr,[status(thm)],[44467,5,4,2,10]),
[iquote('0:MRR:44467.0,44467.1,44467.2,44467.4,5.0,4.0,2.0,10.0')] ).
cnf(44496,plain,
apply(skc8,skc11,skc12),
inference(mrr,[status(thm)],[44426,5,2,1,1538]),
[iquote('0:MRR:44426.0,44426.1,44426.2,44426.3,5.0,2.0,1.0,1538.0')] ).
cnf(44497,plain,
$false,
inference(mrr,[status(thm)],[44496,44493]),
[iquote('0:MRR:44496.0,44493.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET776+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 08:36:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 45.45/45.70
% 45.45/45.70 SPASS V 3.9
% 45.45/45.70 SPASS beiseite: Proof found.
% 45.45/45.70 % SZS status Theorem
% 45.45/45.70 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.45/45.70 SPASS derived 39706 clauses, backtracked 0 clauses, performed 0 splits and kept 21162 clauses.
% 45.45/45.70 SPASS allocated 118841 KBytes.
% 45.45/45.70 SPASS spent 0:0:44.10 on the problem.
% 45.45/45.70 0:00:00.04 for the input.
% 45.45/45.70 0:00:00.16 for the FLOTTER CNF translation.
% 45.45/45.70 0:00:00.59 for inferences.
% 45.45/45.70 0:00:00.00 for the backtracking.
% 45.45/45.70 0:0:42.48 for the reduction.
% 45.45/45.70
% 45.45/45.70
% 45.45/45.70 Here is a proof with depth 2, length 22 :
% 45.45/45.70 % SZS output start Refutation
% See solution above
% 45.45/45.70 Formulae used in the proof : thIII12 pre_order
% 45.45/45.70
%------------------------------------------------------------------------------