TSTP Solution File: SWV180+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV180+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : 300s
% DateTime : Wed May 31 12:40:51 EDT 2023
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 148 ( 38 equ)
% Maximal formula atoms : 41 ( 8 avg)
% Number of connectives : 168 ( 38 ~; 35 |; 61 &)
% ( 2 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(n0,pv86)
& leq(pv86,n4)
& ! [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 ) )
=> a_select2(muold_init,pv86) = init ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv86)
& leq(pv86,n4)
& ! [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 ) )
=> a_select2(muold_init,pv86) = init ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( leq(n0,pv86)
& leq(pv86,n4)
& ! [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 )
& a_select2(muold_init,pv86) != init ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f252,plain,
leq(n0,pv86),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f253,plain,
leq(pv86,n4),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f262,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| a_select2(muold_init,X0) = init ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f265,plain,
a_select2(muold_init,pv86) != init,
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f355,plain,
( spl0_4
<=> leq(n0,pv86) ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( ~ leq(n0,pv86)
| spl0_4 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( spl0_5
<=> leq(pv86,n4) ),
introduced(split_symbol_definition) ).
fof(f360,plain,
( ~ leq(pv86,n4)
| spl0_5 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( ~ leq(n0,pv86)
| ~ leq(pv86,n4) ),
inference(resolution,[status(thm)],[f265,f262]) ).
fof(f362,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f361,f355,f358]) ).
fof(f363,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f252]) ).
fof(f364,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f360,f253]) ).
fof(f366,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f365]) ).
fof(f367,plain,
$false,
inference(sat_refutation,[status(thm)],[f362,f364,f366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWV180+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n009.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:33:46 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.39 % Elapsed time: 0.074198 seconds
% 0.14/0.39 % CPU time: 0.135719 seconds
% 0.14/0.39 % Memory used: 21.082 MB
%------------------------------------------------------------------------------