TSTP Solution File: SWV122+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:40:43 EDT 2023
% Result : Theorem 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 67 ( 2 unt; 0 def)
% Number of atoms : 328 ( 44 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 387 ( 126 ~; 128 |; 105 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 95 (; 75 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [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(q_ds1_filter,G,H) = a_select3(q_ds1_filter,H,G) )
& ! [I,J] :
( ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1)) )
=> a_select3(r_ds1_filter,I,J) = a_select3(r_ds1_filter,J,I) )
& ! [K,L] :
( ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,K,L) = a_select3(pminus_ds1_filter,L,K) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [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(q_ds1_filter,G,H) = a_select3(q_ds1_filter,H,G) )
& ! [I,J] :
( ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1)) )
=> a_select3(r_ds1_filter,I,J) = a_select3(r_ds1_filter,J,I) )
& ! [K,L] :
( ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,K,L) = a_select3(pminus_ds1_filter,L,K) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f253,plain,
( ! [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(q_ds1_filter,G,H) != a_select3(q_ds1_filter,H,G) )
| ? [I,J] :
( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1))
& a_select3(r_ds1_filter,I,J) != a_select3(r_ds1_filter,J,I) )
| ? [K,L] :
( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(pminus_ds1_filter,K,L) != a_select3(pminus_ds1_filter,L,K) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f254,plain,
( pd0_3
=> ( ? [G,H] :
( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1))
& a_select3(q_ds1_filter,G,H) != a_select3(q_ds1_filter,H,G) )
| ? [I,J] :
( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1))
& a_select3(r_ds1_filter,I,J) != a_select3(r_ds1_filter,J,I) ) ) ),
introduced(predicate_definition,[f253]) ).
fof(f255,plain,
( ! [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) )
& ( pd0_3
| ? [K,L] :
( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(pminus_ds1_filter,K,L) != a_select3(pminus_ds1_filter,L,K) ) ) ),
inference(formula_renaming,[status(thm)],[f253,f254]) ).
fof(f256,plain,
( ! [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) )
& ( 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)],[f255]) ).
fof(f257,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)],[f256]) ).
fof(f258,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)],[f256]) ).
fof(f259,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)],[f256]) ).
fof(f260,plain,
( pd0_3
| leq(n0,sk0_23) ),
inference(cnf_transformation,[status(esa)],[f256]) ).
fof(f261,plain,
( pd0_3
| leq(n0,sk0_24) ),
inference(cnf_transformation,[status(esa)],[f256]) ).
fof(f262,plain,
( pd0_3
| leq(sk0_23,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f256]) ).
fof(f263,plain,
( pd0_3
| leq(sk0_24,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f256]) ).
fof(f264,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)],[f256]) ).
fof(f334,plain,
( ~ pd0_3
| ? [G,H] :
( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1))
& a_select3(q_ds1_filter,G,H) != a_select3(q_ds1_filter,H,G) )
| ? [I,J] :
( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1))
& a_select3(r_ds1_filter,I,J) != a_select3(r_ds1_filter,J,I) ) ),
inference(pre_NNF_transformation,[status(esa)],[f254]) ).
fof(f335,plain,
! [G,H] :
( pd0_5(H,G)
=> ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1))
& a_select3(q_ds1_filter,G,H) != a_select3(q_ds1_filter,H,G) ) ),
introduced(predicate_definition,[f334]) ).
fof(f336,plain,
( ~ pd0_3
| ? [G,H] : pd0_5(H,G)
| ? [I,J] :
( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1))
& a_select3(r_ds1_filter,I,J) != a_select3(r_ds1_filter,J,I) ) ),
inference(formula_renaming,[status(thm)],[f334,f335]) ).
fof(f337,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)],[f336]) ).
fof(f338,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| leq(n0,sk0_31) ),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f339,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| leq(n0,sk0_32) ),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f340,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| leq(sk0_31,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f341,plain,
( ~ pd0_3
| pd0_5(sk0_30,sk0_29)
| leq(sk0_32,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f342,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)],[f337]) ).
fof(f349,plain,
! [G,H] :
( ~ pd0_5(H,G)
| ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1))
& a_select3(q_ds1_filter,G,H) != a_select3(q_ds1_filter,H,G) ) ),
inference(pre_NNF_transformation,[status(esa)],[f335]) ).
fof(f350,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f349]) ).
fof(f351,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f349]) ).
fof(f352,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f349]) ).
fof(f353,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f349]) ).
fof(f354,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)],[f349]) ).
fof(f355,plain,
( spl0_0
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( spl0_1
<=> leq(n0,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f260,f355,f358]) ).
fof(f362,plain,
( spl0_2
<=> leq(n0,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f261,f355,f362]) ).
fof(f366,plain,
( spl0_3
<=> leq(sk0_23,minus(n6,n1)) ),
introduced(split_symbol_definition) ).
fof(f369,plain,
( spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f262,f355,f366]) ).
fof(f370,plain,
( spl0_4
<=> leq(sk0_24,minus(n6,n1)) ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f263,f355,f370]) ).
fof(f374,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(f376,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)],[f374]) ).
fof(f377,plain,
( spl0_0
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f264,f355,f374]) ).
fof(f378,plain,
( spl0_6
<=> pd0_5(sk0_30,sk0_29) ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( pd0_5(sk0_30,sk0_29)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( spl0_7
<=> leq(n0,sk0_31) ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( ~ spl0_0
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f338,f355,f378,f381]) ).
fof(f385,plain,
( spl0_8
<=> leq(n0,sk0_32) ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( ~ spl0_0
| spl0_6
| spl0_8 ),
inference(split_clause,[status(thm)],[f339,f355,f378,f385]) ).
fof(f389,plain,
( spl0_9
<=> leq(sk0_31,minus(n3,n1)) ),
introduced(split_symbol_definition) ).
fof(f392,plain,
( ~ spl0_0
| spl0_6
| spl0_9 ),
inference(split_clause,[status(thm)],[f340,f355,f378,f389]) ).
fof(f393,plain,
( spl0_10
<=> leq(sk0_32,minus(n3,n1)) ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( ~ spl0_0
| spl0_6
| spl0_10 ),
inference(split_clause,[status(thm)],[f341,f355,f378,f393]) ).
fof(f397,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(f399,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)],[f397]) ).
fof(f400,plain,
( ~ spl0_0
| spl0_6
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f342,f355,f378,f397]) ).
fof(f405,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(resolution,[status(thm)],[f354,f257]) ).
fof(f406,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f351]) ).
fof(f410,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)],[f258,f399]) ).
fof(f411,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f410,f381,f385,f389,f393,f397]) ).
fof(f414,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)],[f259,f376]) ).
fof(f415,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f414,f358,f362,f366,f370,f374]) ).
fof(f434,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f406,f350]) ).
fof(f439,plain,
! [X0,X1,X2] :
( ~ pd0_5(X0,X1)
| ~ leq(X0,minus(n6,n1))
| ~ pd0_5(X2,X1) ),
inference(resolution,[status(thm)],[f434,f352]) ).
fof(f440,plain,
! [X0,X1,X2] :
( ~ pd0_5(X0,X1)
| ~ pd0_5(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f439,f353]) ).
fof(f442,plain,
! [X0] :
( ~ pd0_5(X0,sk0_29)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f440,f379]) ).
fof(f443,plain,
( $false
| ~ spl0_6 ),
inference(backward_subsumption_resolution,[status(thm)],[f379,f442]) ).
fof(f444,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f443]) ).
fof(f445,plain,
$false,
inference(sat_refutation,[status(thm)],[f361,f365,f369,f373,f377,f384,f388,f392,f396,f400,f411,f415,f444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n016.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 12:04:29 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.07/0.28 % Refutation found
% 0.07/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.29 % Elapsed time: 0.025572 seconds
% 0.07/0.29 % CPU time: 0.090743 seconds
% 0.07/0.29 % Memory used: 17.068 MB
%------------------------------------------------------------------------------