TSTP Solution File: SWV183+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV183+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : Wed Jul 20 20:30:24 EDT 2022
% Result : Theorem 17.90s 18.12s
% Output : CNFRefutation 17.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 196 ( 58 equ)
% Maximal formula atoms : 42 ( 10 avg)
% Number of connectives : 219 ( 42 ~; 36 |; 90 &)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 56 ( 0 sgn 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0091,conjecture,
( ( gt(loopcounter,n0)
& ! [A] :
( ( leq(n0,A)
& leq(A,n135299) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> a_select3(q_init,A,B) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n4) )
=> a_select2(rho_init,C) = init )
& ! [D] :
( ( leq(n0,D)
& leq(D,n4) )
=> a_select2(mu_init,D) = init )
& ! [E] :
( ( leq(n0,E)
& leq(E,n4) )
=> a_select2(sigma_init,E) = init )
& ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select3(center_init,F,n0) = init )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select2(muold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(n0,H)
& leq(H,n4) )
=> a_select2(rhoold_init,H) = init ) )
& ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(n0,I)
& leq(I,n4) )
=> a_select2(sigmaold_init,I) = init ) )
& ! [J] :
( ( leq(n0,J)
& leq(J,n4) )
=> a_select2(muold_init,J) = init )
& ! [K] :
( ( leq(n0,K)
& leq(K,n4) )
=> a_select2(rhoold_init,K) = init )
& ! [L] :
( ( leq(n0,L)
& leq(L,n4) )
=> a_select2(sigmaold_init,L) = init ) )
=> ! [M] :
( ( leq(n0,M)
& leq(M,n4) )
=> a_select2(mu_init,M) = init ) ) ).
fof(subgoal_0,plain,
( ( gt(loopcounter,n0)
& ! [A] :
( ( leq(n0,A)
& leq(A,n135299) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> a_select3(q_init,A,B) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n4) )
=> a_select2(rho_init,C) = init )
& ! [D] :
( ( leq(n0,D)
& leq(D,n4) )
=> a_select2(mu_init,D) = init )
& ! [E] :
( ( leq(n0,E)
& leq(E,n4) )
=> a_select2(sigma_init,E) = init )
& ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select3(center_init,F,n0) = init )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select2(muold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(n0,H)
& leq(H,n4) )
=> a_select2(rhoold_init,H) = init ) )
& ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(n0,I)
& leq(I,n4) )
=> a_select2(sigmaold_init,I) = init ) )
& ! [J] :
( ( leq(n0,J)
& leq(J,n4) )
=> a_select2(muold_init,J) = init )
& ! [K] :
( ( leq(n0,K)
& leq(K,n4) )
=> a_select2(rhoold_init,K) = init )
& ! [L] :
( ( leq(n0,L)
& leq(L,n4) )
=> a_select2(sigmaold_init,L) = init ) )
=> ! [M] :
( ( leq(n0,M)
& leq(M,n4) )
=> a_select2(mu_init,M) = init ) ),
inference(strip,[],[cl5_nebula_init_0091]) ).
fof(negate_0_0,plain,
~ ( ( gt(loopcounter,n0)
& ! [A] :
( ( leq(n0,A)
& leq(A,n135299) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n4) )
=> a_select3(q_init,A,B) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n4) )
=> a_select2(rho_init,C) = init )
& ! [D] :
( ( leq(n0,D)
& leq(D,n4) )
=> a_select2(mu_init,D) = init )
& ! [E] :
( ( leq(n0,E)
& leq(E,n4) )
=> a_select2(sigma_init,E) = init )
& ! [F] :
( ( leq(n0,F)
& leq(F,n4) )
=> a_select3(center_init,F,n0) = init )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(n0,G)
& leq(G,n4) )
=> a_select2(muold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(n0,H)
& leq(H,n4) )
=> a_select2(rhoold_init,H) = init ) )
& ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(n0,I)
& leq(I,n4) )
=> a_select2(sigmaold_init,I) = init ) )
& ! [J] :
( ( leq(n0,J)
& leq(J,n4) )
=> a_select2(muold_init,J) = init )
& ! [K] :
( ( leq(n0,K)
& leq(K,n4) )
=> a_select2(rhoold_init,K) = init )
& ! [L] :
( ( leq(n0,L)
& leq(L,n4) )
=> a_select2(sigmaold_init,L) = init ) )
=> ! [M] :
( ( leq(n0,M)
& leq(M,n4) )
=> a_select2(mu_init,M) = init ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( gt(loopcounter,n0)
& ( ~ gt(loopcounter,n1)
| ! [G] :
( ~ leq(G,n4)
| ~ leq(n0,G)
| a_select2(muold_init,G) = init ) )
& ( ~ gt(loopcounter,n1)
| ! [H] :
( ~ leq(H,n4)
| ~ leq(n0,H)
| a_select2(rhoold_init,H) = init ) )
& ( ~ gt(loopcounter,n1)
| ! [I] :
( ~ leq(I,n4)
| ~ leq(n0,I)
| a_select2(sigmaold_init,I) = init ) )
& ? [M] :
( a_select2(mu_init,M) != init
& leq(M,n4)
& leq(n0,M) )
& ! [A] :
( ~ leq(A,n135299)
| ~ leq(n0,A)
| ! [B] :
( ~ leq(B,n4)
| ~ leq(n0,B)
| a_select3(q_init,A,B) = init ) )
& ! [C] :
( ~ leq(C,n4)
| ~ leq(n0,C)
| a_select2(rho_init,C) = init )
& ! [D] :
( ~ leq(D,n4)
| ~ leq(n0,D)
| a_select2(mu_init,D) = init )
& ! [E] :
( ~ leq(E,n4)
| ~ leq(n0,E)
| a_select2(sigma_init,E) = init )
& ! [F] :
( ~ leq(F,n4)
| ~ leq(n0,F)
| a_select3(center_init,F,n0) = init )
& ! [J] :
( ~ leq(J,n4)
| ~ leq(n0,J)
| a_select2(muold_init,J) = init )
& ! [K] :
( ~ leq(K,n4)
| ~ leq(n0,K)
| a_select2(rhoold_init,K) = init )
& ! [L] :
( ~ leq(L,n4)
| ~ leq(n0,L)
| a_select2(sigmaold_init,L) = init ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [M] :
( a_select2(mu_init,M) != init
& leq(M,n4)
& leq(n0,M) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( a_select2(mu_init,skolemFOFtoCNF_M) != init
& leq(n0,skolemFOFtoCNF_M)
& leq(skolemFOFtoCNF_M,n4) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
leq(skolemFOFtoCNF_M,n4),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [D] :
( ~ leq(D,n4)
| ~ leq(n0,D)
| a_select2(mu_init,D) = init ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [D] :
( ~ leq(D,n4)
| ~ leq(n0,D)
| a_select2(mu_init,D) = init ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
leq(n0,skolemFOFtoCNF_M),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_7,plain,
a_select2(mu_init,skolemFOFtoCNF_M) != init,
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
leq(skolemFOFtoCNF_M,n4),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ leq(D,n4)
| ~ leq(n0,D)
| a_select2(mu_init,D) = init ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ leq(n0,skolemFOFtoCNF_M)
| ~ leq(skolemFOFtoCNF_M,n4)
| a_select2(mu_init,skolemFOFtoCNF_M) = init ),
inference(subst,[],[refute_0_1:[bind(D,$fot(skolemFOFtoCNF_M))]]) ).
cnf(refute_0_3,plain,
( ~ leq(n0,skolemFOFtoCNF_M)
| a_select2(mu_init,skolemFOFtoCNF_M) = init ),
inference(resolve,[$cnf( leq(skolemFOFtoCNF_M,n4) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
leq(n0,skolemFOFtoCNF_M),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
a_select2(mu_init,skolemFOFtoCNF_M) = init,
inference(resolve,[$cnf( leq(n0,skolemFOFtoCNF_M) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
a_select2(mu_init,skolemFOFtoCNF_M) != init,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( $equal(a_select2(mu_init,skolemFOFtoCNF_M),init) )],[refute_0_5,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV183+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 18:10:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 17.90/18.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.90/18.12
% 17.90/18.12 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.90/18.12
%------------------------------------------------------------------------------