TSTP Solution File: SWV169+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV169+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : Wed Jul 20 20:30:21 EDT 2022
% Result : Theorem 51.65s 51.83s
% Output : CNFRefutation 51.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 134 ( 32 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 147 ( 30 ~; 26 |; 67 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0021,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv11)
& leq(n0,pv65)
& leq(pv10,n135299)
& leq(pv11,n4)
& leq(pv65,n4)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n135299)
& leq(B,n4) )
=> ( ( A = pv10
& gt(pv11,B) )
=> a_select3(q_init,A,B) = init ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n135299)
& leq(D,n4) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [E] :
( ( leq(n0,E)
& leq(E,pred(pv10)) )
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select3(q_init,E,F) = init ) )
& ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select3(center_init,G,n0) = init ) )
=> a_select3(center_init,pv65,n0) = init ) ).
fof(subgoal_0,plain,
( ( leq(n0,pv10)
& leq(n0,pv11)
& leq(n0,pv65)
& leq(pv10,n135299)
& leq(pv11,n4)
& leq(pv65,n4)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n135299)
& leq(B,n4) )
=> ( ( A = pv10
& gt(pv11,B) )
=> a_select3(q_init,A,B) = init ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n135299)
& leq(D,n4) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [E] :
( ( leq(n0,E)
& leq(E,pred(pv10)) )
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select3(q_init,E,F) = init ) )
& ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select3(center_init,G,n0) = init ) )
=> a_select3(center_init,pv65,n0) = init ),
inference(strip,[],[cl5_nebula_init_0021]) ).
fof(negate_0_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv11)
& leq(n0,pv65)
& leq(pv10,n135299)
& leq(pv11,n4)
& leq(pv65,n4)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n135299)
& leq(B,n4) )
=> ( ( A = pv10
& gt(pv11,B) )
=> a_select3(q_init,A,B) = init ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n135299)
& leq(D,n4) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [E] :
( ( leq(n0,E)
& leq(E,pred(pv10)) )
=> ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select3(q_init,E,F) = init ) )
& ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select3(center_init,G,n0) = init ) )
=> a_select3(center_init,pv65,n0) = init ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( a_select3(center_init,pv65,n0) != init
& leq(n0,pv10)
& leq(n0,pv11)
& leq(n0,pv65)
& leq(pv10,n135299)
& leq(pv11,n4)
& leq(pv65,n4)
& ! [E] :
( ~ leq(E,pred(pv10))
| ~ leq(n0,E)
| ! [F] :
( ~ leq(F,n4)
| ~ leq(n0,F)
| a_select3(q_init,E,F) = init ) )
& ! [G] :
( ~ leq(G,n4)
| ~ leq(n0,G)
| a_select3(center_init,G,n0) = init )
& ! [A,B] :
( A != pv10
| ~ gt(pv11,B)
| ~ leq(A,n135299)
| ~ leq(B,n4)
| ~ leq(n0,A)
| ~ leq(n0,B)
| a_select3(q_init,A,B) = init )
& ! [C,D] :
( ~ gt(pv10,C)
| ~ leq(C,n135299)
| ~ leq(D,n4)
| ~ leq(n0,C)
| ~ leq(n0,D)
| a_select3(q_init,C,D) = init ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
leq(pv65,n4),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [G] :
( ~ leq(G,n4)
| ~ leq(n0,G)
| a_select3(center_init,G,n0) = init ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
! [G] :
( ~ leq(G,n4)
| ~ leq(n0,G)
| a_select3(center_init,G,n0) = init ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
leq(n0,pv65),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
a_select3(center_init,pv65,n0) != init,
inference(conjunct,[],[normalize_0_0]) ).
cnf(refute_0_0,plain,
leq(pv65,n4),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ leq(G,n4)
| ~ leq(n0,G)
| a_select3(center_init,G,n0) = init ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ leq(n0,pv65)
| ~ leq(pv65,n4)
| a_select3(center_init,pv65,n0) = init ),
inference(subst,[],[refute_0_1:[bind(G,$fot(pv65))]]) ).
cnf(refute_0_3,plain,
( ~ leq(n0,pv65)
| a_select3(center_init,pv65,n0) = init ),
inference(resolve,[$cnf( leq(pv65,n4) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
leq(n0,pv65),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_5,plain,
a_select3(center_init,pv65,n0) = init,
inference(resolve,[$cnf( leq(n0,pv65) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
a_select3(center_init,pv65,n0) != init,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( $equal(a_select3(center_init,pv65,n0),init) )],[refute_0_5,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV169+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 00:44:14 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 51.65/51.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.65/51.83
% 51.65/51.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 51.65/51.83
%------------------------------------------------------------------------------