TSTP Solution File: SWV116+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV116+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:40:42 EDT 2023
% Result : Theorem 0.15s 0.35s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 67 ( 2 unt; 0 def)
% Number of atoms : 388 ( 54 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 471 ( 150 ~; 152 |; 135 &)
% ( 12 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 115 (; 95 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ( leq(n0,I)
& leq(I,minus(n6,n1)) )
=> ! [J] :
( ( leq(n0,J)
& leq(J,minus(n6,n1)) )
=> a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) ) )
=> ( ! [K,L] :
( ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1)) )
=> a_select3(q_ds1_filter,K,L) = a_select3(q_ds1_filter,L,K) )
& ! [M,N] :
( ( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n3,n1))
& leq(N,minus(n3,n1)) )
=> a_select3(r_ds1_filter,M,N) = a_select3(r_ds1_filter,N,M) )
& ! [O,P] :
( ( leq(n0,O)
& leq(n0,P)
& leq(O,minus(n6,n1))
& leq(P,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,O,P) = a_select3(pminus_ds1_filter,P,O) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ( leq(n0,I)
& leq(I,minus(n6,n1)) )
=> ! [J] :
( ( leq(n0,J)
& leq(J,minus(n6,n1)) )
=> a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) ) )
=> ( ! [K,L] :
( ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1)) )
=> a_select3(q_ds1_filter,K,L) = a_select3(q_ds1_filter,L,K) )
& ! [M,N] :
( ( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n3,n1))
& leq(N,minus(n3,n1)) )
=> a_select3(r_ds1_filter,M,N) = a_select3(r_ds1_filter,N,M) )
& ! [O,P] :
( ( leq(n0,O)
& leq(n0,P)
& leq(O,minus(n6,n1))
& leq(P,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,O,P) = a_select3(pminus_ds1_filter,P,O) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f261,plain,
( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,minus(n6,n1))
| ~ leq(B,minus(n6,n1))
| a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,minus(n3,n1))
| ~ leq(D,minus(n3,n1))
| a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ~ leq(n0,E)
| ~ leq(n0,F)
| ~ leq(E,minus(n6,n1))
| ~ leq(F,minus(n6,n1))
| a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [G,H] :
( ~ leq(n0,G)
| ~ leq(n0,H)
| ~ leq(G,minus(n6,n1))
| ~ leq(H,minus(n6,n1))
| a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ~ leq(n0,I)
| ~ leq(I,minus(n6,n1))
| ! [J] :
( ~ leq(n0,J)
| ~ leq(J,minus(n6,n1))
| a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) )
& ( ? [K,L] :
( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(q_ds1_filter,K,L) != a_select3(q_ds1_filter,L,K) )
| ? [M,N] :
( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n3,n1))
& leq(N,minus(n3,n1))
& a_select3(r_ds1_filter,M,N) != a_select3(r_ds1_filter,N,M) )
| ? [O,P] :
( leq(n0,O)
& leq(n0,P)
& leq(O,minus(n6,n1))
& leq(P,minus(n6,n1))
& a_select3(pminus_ds1_filter,O,P) != a_select3(pminus_ds1_filter,P,O) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f262,plain,
( pd0_3
=> ( ? [K,L] :
( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(q_ds1_filter,K,L) != a_select3(q_ds1_filter,L,K) )
| ? [M,N] :
( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n3,n1))
& leq(N,minus(n3,n1))
& a_select3(r_ds1_filter,M,N) != a_select3(r_ds1_filter,N,M) ) ) ),
introduced(predicate_definition,[f261]) ).
fof(f263,plain,
( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,minus(n6,n1))
| ~ leq(B,minus(n6,n1))
| a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,minus(n3,n1))
| ~ leq(D,minus(n3,n1))
| a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ~ leq(n0,E)
| ~ leq(n0,F)
| ~ leq(E,minus(n6,n1))
| ~ leq(F,minus(n6,n1))
| a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [G,H] :
( ~ leq(n0,G)
| ~ leq(n0,H)
| ~ leq(G,minus(n6,n1))
| ~ leq(H,minus(n6,n1))
| a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ~ leq(n0,I)
| ~ leq(I,minus(n6,n1))
| ! [J] :
( ~ leq(n0,J)
| ~ leq(J,minus(n6,n1))
| a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) )
& ( pd0_3
| ? [O,P] :
( leq(n0,O)
& leq(n0,P)
& leq(O,minus(n6,n1))
& leq(P,minus(n6,n1))
& a_select3(pminus_ds1_filter,O,P) != a_select3(pminus_ds1_filter,P,O) ) ) ),
inference(formula_renaming,[status(thm)],[f261,f262]) ).
fof(f264,plain,
( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,minus(n6,n1))
| ~ leq(B,minus(n6,n1))
| a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,minus(n3,n1))
| ~ leq(D,minus(n3,n1))
| a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ~ leq(n0,E)
| ~ leq(n0,F)
| ~ leq(E,minus(n6,n1))
| ~ leq(F,minus(n6,n1))
| a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [G,H] :
( ~ leq(n0,G)
| ~ leq(n0,H)
| ~ leq(G,minus(n6,n1))
| ~ leq(H,minus(n6,n1))
| a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ~ leq(n0,I)
| ~ leq(I,minus(n6,n1))
| ! [J] :
( ~ leq(n0,J)
| ~ leq(J,minus(n6,n1))
| a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) )
& ( pd0_3
| ( leq(n0,sk0_23)
& leq(n0,sk0_24)
& leq(sk0_23,minus(n6,n1))
& leq(sk0_24,minus(n6,n1))
& a_select3(pminus_ds1_filter,sk0_23,sk0_24) != a_select3(pminus_ds1_filter,sk0_24,sk0_23) ) ) ),
inference(skolemization,[status(esa)],[f263]) ).
fof(f267,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f268,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f269,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f272,plain,
( pd0_3
| leq(n0,sk0_23) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f273,plain,
( pd0_3
| leq(n0,sk0_24) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f274,plain,
( pd0_3
| leq(sk0_23,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f275,plain,
( pd0_3
| leq(sk0_24,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f276,plain,
( pd0_3
| a_select3(pminus_ds1_filter,sk0_23,sk0_24) != a_select3(pminus_ds1_filter,sk0_24,sk0_23) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f354,plain,
( ~ pd0_3
| ? [K,L] :
( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(q_ds1_filter,K,L) != a_select3(q_ds1_filter,L,K) )
| ? [M,N] :
( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n3,n1))
& leq(N,minus(n3,n1))
& a_select3(r_ds1_filter,M,N) != a_select3(r_ds1_filter,N,M) ) ),
inference(pre_NNF_transformation,[status(esa)],[f262]) ).
fof(f355,plain,
! [K,L] :
( pd0_5(L,K)
=> ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(q_ds1_filter,K,L) != a_select3(q_ds1_filter,L,K) ) ),
introduced(predicate_definition,[f354]) ).
fof(f356,plain,
( ~ pd0_3
| ? [K,L] : pd0_5(L,K)
| ? [M,N] :
( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n3,n1))
& leq(N,minus(n3,n1))
& a_select3(r_ds1_filter,M,N) != a_select3(r_ds1_filter,N,M) ) ),
inference(formula_renaming,[status(thm)],[f354,f355]) ).
fof(f357,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| ( leq(n0,sk0_31)
& leq(n0,sk0_32)
& leq(sk0_31,minus(n3,n1))
& leq(sk0_32,minus(n3,n1))
& a_select3(r_ds1_filter,sk0_31,sk0_32) != a_select3(r_ds1_filter,sk0_32,sk0_31) ) ),
inference(skolemization,[status(esa)],[f356]) ).
fof(f358,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| leq(n0,sk0_31) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f359,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| leq(n0,sk0_32) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f360,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| leq(sk0_31,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f361,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| leq(sk0_32,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f362,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| a_select3(r_ds1_filter,sk0_31,sk0_32) != a_select3(r_ds1_filter,sk0_32,sk0_31) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f369,plain,
! [K,L] :
( ~ pd0_5(L,K)
| ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(q_ds1_filter,K,L) != a_select3(q_ds1_filter,L,K) ) ),
inference(pre_NNF_transformation,[status(esa)],[f355]) ).
fof(f370,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f371,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f372,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f373,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f374,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| a_select3(q_ds1_filter,X1,X0) != a_select3(q_ds1_filter,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f375,plain,
( spl0_0
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( spl0_1
<=> leq(n0,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f272,f375,f378]) ).
fof(f382,plain,
( spl0_2
<=> leq(n0,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f273,f375,f382]) ).
fof(f386,plain,
( spl0_3
<=> leq(sk0_23,minus(n6,n1)) ),
introduced(split_symbol_definition) ).
fof(f389,plain,
( spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f274,f375,f386]) ).
fof(f390,plain,
( spl0_4
<=> leq(sk0_24,minus(n6,n1)) ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f275,f375,f390]) ).
fof(f394,plain,
( spl0_5
<=> a_select3(pminus_ds1_filter,sk0_23,sk0_24) = a_select3(pminus_ds1_filter,sk0_24,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( a_select3(pminus_ds1_filter,sk0_23,sk0_24) != a_select3(pminus_ds1_filter,sk0_24,sk0_23)
| spl0_5 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( spl0_0
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f276,f375,f394]) ).
fof(f398,plain,
( spl0_6
<=> pd0_5(sk0_30,sk0_29) ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( pd0_5(sk0_30,sk0_29)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( spl0_7
<=> leq(n0,sk0_31) ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( ~ spl0_0
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f358,f375,f398,f401]) ).
fof(f405,plain,
( spl0_8
<=> leq(n0,sk0_32) ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( ~ spl0_0
| spl0_6
| spl0_8 ),
inference(split_clause,[status(thm)],[f359,f375,f398,f405]) ).
fof(f409,plain,
( spl0_9
<=> leq(sk0_31,minus(n3,n1)) ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( ~ spl0_0
| spl0_6
| spl0_9 ),
inference(split_clause,[status(thm)],[f360,f375,f398,f409]) ).
fof(f413,plain,
( spl0_10
<=> leq(sk0_32,minus(n3,n1)) ),
introduced(split_symbol_definition) ).
fof(f416,plain,
( ~ spl0_0
| spl0_6
| spl0_10 ),
inference(split_clause,[status(thm)],[f361,f375,f398,f413]) ).
fof(f417,plain,
( spl0_11
<=> a_select3(r_ds1_filter,sk0_31,sk0_32) = a_select3(r_ds1_filter,sk0_32,sk0_31) ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( a_select3(r_ds1_filter,sk0_31,sk0_32) != a_select3(r_ds1_filter,sk0_32,sk0_31)
| spl0_11 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( ~ spl0_0
| spl0_6
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f362,f375,f398,f417]) ).
fof(f426,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ pd0_5(X1,X0) ),
inference(resolution,[status(thm)],[f267,f374]) ).
fof(f427,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ pd0_5(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f426,f371]) ).
fof(f430,plain,
( ~ leq(n0,sk0_31)
| ~ leq(n0,sk0_32)
| ~ leq(sk0_31,minus(n3,n1))
| ~ leq(sk0_32,minus(n3,n1))
| spl0_11 ),
inference(resolution,[status(thm)],[f268,f419]) ).
fof(f431,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f430,f401,f405,f409,f413,f417]) ).
fof(f445,plain,
! [X0,X1] :
( ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ pd0_5(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f370]) ).
fof(f450,plain,
! [X0,X1,X2] :
( ~ leq(X0,minus(n6,n1))
| ~ pd0_5(X1,X0)
| ~ pd0_5(X1,X2) ),
inference(resolution,[status(thm)],[f445,f373]) ).
fof(f451,plain,
! [X0,X1,X2] :
( ~ pd0_5(X0,X1)
| ~ pd0_5(X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f372]) ).
fof(f454,plain,
! [X0] :
( ~ pd0_5(sk0_30,X0)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f451,f399]) ).
fof(f456,plain,
( $false
| ~ spl0_6 ),
inference(backward_subsumption_resolution,[status(thm)],[f399,f454]) ).
fof(f457,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f456]) ).
fof(f458,plain,
( ~ leq(n0,sk0_23)
| ~ leq(n0,sk0_24)
| ~ leq(sk0_23,minus(n6,n1))
| ~ leq(sk0_24,minus(n6,n1))
| spl0_5 ),
inference(resolution,[status(thm)],[f269,f396]) ).
fof(f459,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f458,f378,f382,f386,f390,f394]) ).
fof(f462,plain,
$false,
inference(sat_refutation,[status(thm)],[f381,f385,f389,f393,f397,f404,f408,f412,f416,f420,f431,f457,f459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV116+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n005.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue May 30 11:33:06 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.35 % Refutation found
% 0.15/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.38 % Elapsed time: 0.061313 seconds
% 0.15/0.38 % CPU time: 0.100867 seconds
% 0.15/0.38 % Memory used: 14.936 MB
%------------------------------------------------------------------------------