TSTP Solution File: SET790+4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 05:28:41 EDT 2022
% Result : Theorem 2.18s 2.36s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 8 unt; 0 nHn; 20 RR)
% Number of literals : 48 ( 0 equ; 35 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
order(skc4,skc5),
file('SET790+4.p',unknown),
[] ).
cnf(2,axiom,
least(skc7,skc4,skc5),
file('SET790+4.p',unknown),
[] ).
cnf(3,axiom,
least(skc6,skc4,skc5),
file('SET790+4.p',unknown),
[] ).
cnf(4,axiom,
~ equal(skc7,skc6),
file('SET790+4.p',unknown),
[] ).
cnf(6,axiom,
( ~ order(u,v)
| skP1(u,v) ),
file('SET790+4.p',unknown),
[] ).
cnf(12,axiom,
( ~ least(u,v,w)
| member(u,w) ),
file('SET790+4.p',unknown),
[] ).
cnf(33,axiom,
( ~ member(u,v)
| ~ least(w,x,v)
| apply(x,w,u) ),
file('SET790+4.p',unknown),
[] ).
cnf(63,axiom,
( ~ member(u,v)
| ~ member(w,v)
| ~ skP1(x,v)
| ~ apply(x,u,w)
| ~ apply(x,w,u)
| equal(w,u) ),
file('SET790+4.p',unknown),
[] ).
cnf(70,plain,
skP1(skc4,skc5),
inference(res,[status(thm),theory(equality)],[1,6]),
[iquote('0:Res:1.0,6.0')] ).
cnf(77,plain,
( ~ skP1(u,v)
| ~ member(skc7,v)
| ~ member(skc6,v)
| ~ apply(u,skc7,skc6)
| ~ apply(u,skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[63,4]),
[iquote('0:Res:63.5,4.0')] ).
cnf(78,plain,
member(skc6,skc5),
inference(res,[status(thm),theory(equality)],[3,12]),
[iquote('0:Res:3.0,12.0')] ).
cnf(79,plain,
( ~ member(u,skc5)
| apply(skc4,skc6,u) ),
inference(res,[status(thm),theory(equality)],[3,33]),
[iquote('0:Res:3.0,33.1')] ).
cnf(80,plain,
member(skc7,skc5),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.0')] ).
cnf(81,plain,
( ~ member(u,skc5)
| apply(skc4,skc7,u) ),
inference(res,[status(thm),theory(equality)],[2,33]),
[iquote('0:Res:2.0,33.1')] ).
cnf(5655,plain,
( ~ member(skc6,skc5)
| ~ skP1(skc4,u)
| ~ member(skc7,u)
| ~ member(skc6,u)
| ~ apply(skc4,skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[81,77]),
[iquote('0:Res:81.1,77.3')] ).
cnf(5656,plain,
( ~ skP1(skc4,u)
| ~ member(skc7,u)
| ~ member(skc6,u)
| ~ apply(skc4,skc6,skc7) ),
inference(mrr,[status(thm)],[5655,78]),
[iquote('0:MRR:5655.0,78.0')] ).
cnf(5682,plain,
( ~ member(skc7,skc5)
| ~ skP1(skc4,u)
| ~ member(skc7,u)
| ~ member(skc6,u) ),
inference(res,[status(thm),theory(equality)],[79,5656]),
[iquote('0:Res:79.1,5656.3')] ).
cnf(5685,plain,
( ~ skP1(skc4,u)
| ~ member(skc7,u)
| ~ member(skc6,u) ),
inference(mrr,[status(thm)],[5682,80]),
[iquote('0:MRR:5682.0,80.0')] ).
cnf(5721,plain,
( ~ member(skc7,skc5)
| ~ member(skc6,skc5) ),
inference(res,[status(thm),theory(equality)],[70,5685]),
[iquote('0:Res:70.0,5685.0')] ).
cnf(5722,plain,
$false,
inference(mrr,[status(thm)],[5721,80,78]),
[iquote('0:MRR:5721.0,5721.1,80.0,78.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.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 : Sun Jul 10 09:43:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.18/2.36
% 2.18/2.36 SPASS V 3.9
% 2.18/2.36 SPASS beiseite: Proof found.
% 2.18/2.36 % SZS status Theorem
% 2.18/2.36 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.18/2.36 SPASS derived 5204 clauses, backtracked 2028 clauses, performed 96 splits and kept 4156 clauses.
% 2.18/2.36 SPASS allocated 90470 KBytes.
% 2.18/2.36 SPASS spent 0:00:01.98 on the problem.
% 2.18/2.36 0:00:00.04 for the input.
% 2.18/2.36 0:00:00.22 for the FLOTTER CNF translation.
% 2.18/2.36 0:00:00.09 for inferences.
% 2.18/2.36 0:00:00.09 for the backtracking.
% 2.18/2.36 0:00:01.48 for the reduction.
% 2.18/2.36
% 2.18/2.36
% 2.18/2.36 Here is a proof with depth 4, length 20 :
% 2.18/2.36 % SZS output start Refutation
% See solution above
% 2.18/2.36 Formulae used in the proof : thIV2 order least
% 2.18/2.36
%------------------------------------------------------------------------------