TSTP Solution File: SWV116+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV116+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n008.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 Aug 31 18:44:13 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 76 ( 3 unt; 0 def)
% Number of atoms : 530 ( 85 equ)
% Maximal formula atoms : 42 ( 6 avg)
% Number of connectives : 650 ( 196 ~; 194 |; 220 &)
% ( 7 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 138 ( 104 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f586,plain,
$false,
inference(avatar_sat_refutation,[],[f304,f309,f314,f319,f324,f418,f525,f584]) ).
fof(f584,plain,
( ~ spl8_3
| ~ spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f583,plain,
( $false
| ~ spl8_3
| ~ spl8_4
| spl8_5
| ~ spl8_6
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f570,f313]) ).
fof(f313,plain,
( a_select3(pminus_ds1_filter,sK7,sK6) != a_select3(pminus_ds1_filter,sK6,sK7)
| spl8_5 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl8_5
<=> a_select3(pminus_ds1_filter,sK7,sK6) = a_select3(pminus_ds1_filter,sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f570,plain,
( a_select3(pminus_ds1_filter,sK7,sK6) = a_select3(pminus_ds1_filter,sK6,sK7)
| ~ spl8_3
| ~ spl8_4
| ~ spl8_6
| ~ spl8_7 ),
inference(unit_resulting_resolution,[],[f318,f308,f303,f323,f224]) ).
fof(f224,plain,
! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X8)
| a_select3(pminus_ds1_filter,X9,X8) = a_select3(pminus_ds1_filter,X8,X9)
| ~ leq(n0,X9) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ! [X0,X1] :
( ~ leq(n0,X1)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1))
| a_select3(pminus_ds1_filter,X3,X2) = a_select3(pminus_ds1_filter,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,minus(n6,n1))
| a_select3(id_ds1_filter,X4,X5) = a_select3(id_ds1_filter,X5,X4) )
| ~ leq(n0,X4)
| ~ leq(X4,minus(n6,n1)) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X6) )
& leq(n0,pv5)
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(X8,minus(n6,n1))
| a_select3(pminus_ds1_filter,X9,X8) = a_select3(pminus_ds1_filter,X8,X9) )
& leq(pv5,minus(n999,n1))
& ( ( leq(n0,sK6)
& leq(sK7,minus(n6,n1))
& leq(sK6,minus(n6,n1))
& leq(n0,sK7)
& a_select3(pminus_ds1_filter,sK7,sK6) != a_select3(pminus_ds1_filter,sK6,sK7) )
| sP1
| sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f157,f158]) ).
fof(f158,plain,
( ? [X10,X11] :
( leq(n0,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& a_select3(pminus_ds1_filter,X11,X10) != a_select3(pminus_ds1_filter,X10,X11) )
=> ( leq(n0,sK6)
& leq(sK7,minus(n6,n1))
& leq(sK6,minus(n6,n1))
& leq(n0,sK7)
& a_select3(pminus_ds1_filter,sK7,sK6) != a_select3(pminus_ds1_filter,sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( ! [X0,X1] :
( ~ leq(n0,X1)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1)) )
& ! [X2,X3] :
( ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1))
| a_select3(pminus_ds1_filter,X3,X2) = a_select3(pminus_ds1_filter,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,minus(n6,n1))
| a_select3(id_ds1_filter,X4,X5) = a_select3(id_ds1_filter,X5,X4) )
| ~ leq(n0,X4)
| ~ leq(X4,minus(n6,n1)) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X6) )
& leq(n0,pv5)
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(X8,minus(n6,n1))
| a_select3(pminus_ds1_filter,X9,X8) = a_select3(pminus_ds1_filter,X8,X9) )
& leq(pv5,minus(n999,n1))
& ( ? [X10,X11] :
( leq(n0,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& a_select3(pminus_ds1_filter,X11,X10) != a_select3(pminus_ds1_filter,X10,X11) )
| sP1
| sP0 ) ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
( ! [X1,X0] :
( ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1)) )
& ! [X9,X8] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| a_select3(pminus_ds1_filter,X9,X8) = a_select3(pminus_ds1_filter,X8,X9)
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X6] :
( ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1))
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
| ~ leq(n0,X6)
| ~ leq(X6,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(X3,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X2) )
& leq(n0,pv5)
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| a_select3(pminus_ds1_filter,X5,X4) = a_select3(pminus_ds1_filter,X4,X5) )
& leq(pv5,minus(n999,n1))
& ( ? [X10,X11] :
( leq(n0,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& a_select3(pminus_ds1_filter,X11,X10) != a_select3(pminus_ds1_filter,X10,X11) )
| sP1
| sP0 ) ),
inference(definition_folding,[],[f118,f141,f140]) ).
fof(f140,plain,
( ? [X12,X13] :
( leq(X12,minus(n3,n1))
& leq(n0,X12)
& leq(n0,X13)
& leq(X13,minus(n3,n1))
& a_select3(r_ds1_filter,X13,X12) != a_select3(r_ds1_filter,X12,X13) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f141,plain,
( ? [X15,X14] :
( leq(n0,X14)
& a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f118,plain,
( ! [X1,X0] :
( ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(X0,minus(n6,n1)) )
& ! [X9,X8] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| a_select3(pminus_ds1_filter,X9,X8) = a_select3(pminus_ds1_filter,X8,X9)
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X6] :
( ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1))
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
| ~ leq(n0,X6)
| ~ leq(X6,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(X3,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X2) )
& leq(n0,pv5)
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| a_select3(pminus_ds1_filter,X5,X4) = a_select3(pminus_ds1_filter,X4,X5) )
& leq(pv5,minus(n999,n1))
& ( ? [X10,X11] :
( leq(n0,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& a_select3(pminus_ds1_filter,X11,X10) != a_select3(pminus_ds1_filter,X10,X11) )
| ? [X15,X14] :
( leq(n0,X14)
& a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ? [X12,X13] :
( leq(X12,minus(n3,n1))
& leq(n0,X12)
& leq(n0,X13)
& leq(X13,minus(n3,n1))
& a_select3(r_ds1_filter,X13,X12) != a_select3(r_ds1_filter,X12,X13) ) ) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
( ( ? [X11,X10] :
( a_select3(pminus_ds1_filter,X11,X10) != a_select3(pminus_ds1_filter,X10,X11)
& leq(n0,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11) )
| ? [X13,X12] :
( a_select3(r_ds1_filter,X13,X12) != a_select3(r_ds1_filter,X12,X13)
& leq(n0,X12)
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(X13,minus(n3,n1)) )
| ? [X15,X14] :
( a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(X14,minus(n6,n1))
& leq(n0,X14)
& leq(n0,X15)
& leq(X15,minus(n6,n1)) ) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X5,X4) = a_select3(pminus_ds1_filter,X4,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n6,n1)) )
& leq(n0,pv5)
& ! [X6] :
( ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X6) )
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1)) )
& ! [X9,X8] :
( a_select3(pminus_ds1_filter,X9,X8) = a_select3(pminus_ds1_filter,X8,X9)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,minus(n6,n1)) )
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1)) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
~ ( ( ! [X4,X5] :
( ( leq(X4,minus(n6,n1))
& leq(n0,X4)
& leq(n0,X5)
& leq(X5,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X5,X4) = a_select3(pminus_ds1_filter,X4,X5) )
& leq(n0,pv5)
& ! [X6] :
( ( leq(X6,minus(n6,n1))
& leq(n0,X6) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) )
& leq(pv5,minus(n999,n1))
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3) )
& ! [X9,X8] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X8)
& leq(n0,X9)
& leq(X8,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X9,X8) = a_select3(pminus_ds1_filter,X8,X9) )
& ! [X0,X1] :
( ( leq(X0,minus(n6,n1))
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ) )
=> ( ! [X11,X10] :
( ( leq(n0,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11) )
=> a_select3(pminus_ds1_filter,X11,X10) = a_select3(pminus_ds1_filter,X10,X11) )
& ! [X13,X12] :
( ( leq(n0,X12)
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(X13,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X13,X12) = a_select3(r_ds1_filter,X12,X13) )
& ! [X15,X14] :
( ( leq(X14,minus(n6,n1))
& leq(n0,X14)
& leq(n0,X15)
& leq(X15,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X15) = a_select3(q_ds1_filter,X15,X14) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X17,X13] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X3,X19] :
( ( leq(n0,X3)
& leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X20,X21] :
( ( leq(n0,X21)
& leq(X21,minus(n6,n1))
& leq(n0,X20)
& leq(X20,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X4] :
( ( leq(X4,minus(n6,n1))
& leq(n0,X4) )
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X4,X10) = a_select3(id_ds1_filter,X10,X4) ) )
& ! [X28,X27] :
( ( leq(X27,minus(n6,n1))
& leq(n0,X27)
& leq(n0,X28)
& leq(X28,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27) ) )
=> ( ! [X30,X29] :
( ( leq(X29,minus(n6,n1))
& leq(n0,X30)
& leq(n0,X29)
& leq(X30,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29) )
& ! [X18,X14] :
( ( leq(n0,X18)
& leq(n0,X14)
& leq(X18,minus(n3,n1))
& leq(X14,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X18,X14) = a_select3(r_ds1_filter,X14,X18) )
& ! [X5,X15] :
( ( leq(X5,minus(n6,n1))
& leq(n0,X15)
& leq(X15,minus(n6,n1))
& leq(n0,X5) )
=> a_select3(q_ds1_filter,X15,X5) = a_select3(q_ds1_filter,X5,X15) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X17,X13] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X3,X19] :
( ( leq(n0,X3)
& leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X20,X21] :
( ( leq(n0,X21)
& leq(X21,minus(n6,n1))
& leq(n0,X20)
& leq(X20,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X4] :
( ( leq(X4,minus(n6,n1))
& leq(n0,X4) )
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X4,X10) = a_select3(id_ds1_filter,X10,X4) ) )
& ! [X28,X27] :
( ( leq(X27,minus(n6,n1))
& leq(n0,X27)
& leq(n0,X28)
& leq(X28,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27) ) )
=> ( ! [X30,X29] :
( ( leq(X29,minus(n6,n1))
& leq(n0,X30)
& leq(n0,X29)
& leq(X30,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29) )
& ! [X18,X14] :
( ( leq(n0,X18)
& leq(n0,X14)
& leq(X18,minus(n3,n1))
& leq(X14,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X18,X14) = a_select3(r_ds1_filter,X14,X18) )
& ! [X5,X15] :
( ( leq(X5,minus(n6,n1))
& leq(n0,X15)
& leq(X15,minus(n6,n1))
& leq(n0,X5) )
=> a_select3(q_ds1_filter,X15,X5) = a_select3(q_ds1_filter,X5,X15) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0009) ).
fof(f323,plain,
( leq(sK7,minus(n6,n1))
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl8_7
<=> leq(sK7,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f303,plain,
( leq(sK6,minus(n6,n1))
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl8_3
<=> leq(sK6,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f308,plain,
( leq(n0,sK6)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl8_4
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f318,plain,
( leq(n0,sK7)
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl8_6
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f525,plain,
~ spl8_1,
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f524,plain,
( $false
| ~ spl8_1 ),
inference(subsumption_resolution,[],[f511,f420]) ).
fof(f420,plain,
( a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4)
| ~ spl8_1 ),
inference(unit_resulting_resolution,[],[f295,f213]) ).
fof(f213,plain,
( a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( leq(sK4,minus(n3,n1))
& leq(n0,sK4)
& leq(n0,sK5)
& leq(sK5,minus(n3,n1))
& a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f154,f155]) ).
fof(f155,plain,
( ? [X0,X1] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,minus(n3,n1))
& a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0) )
=> ( leq(sK4,minus(n3,n1))
& leq(n0,sK4)
& leq(n0,sK5)
& leq(sK5,minus(n3,n1))
& a_select3(r_ds1_filter,sK4,sK5) != a_select3(r_ds1_filter,sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( ? [X0,X1] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,minus(n3,n1))
& a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0) )
| ~ sP0 ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
( ? [X12,X13] :
( leq(X12,minus(n3,n1))
& leq(n0,X12)
& leq(n0,X13)
& leq(X13,minus(n3,n1))
& a_select3(r_ds1_filter,X13,X12) != a_select3(r_ds1_filter,X12,X13) )
| ~ sP0 ),
inference(nnf_transformation,[],[f140]) ).
fof(f295,plain,
( sP0
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl8_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f511,plain,
( a_select3(r_ds1_filter,sK4,sK5) = a_select3(r_ds1_filter,sK5,sK4)
| ~ spl8_1 ),
inference(unit_resulting_resolution,[],[f421,f422,f423,f424,f226]) ).
fof(f226,plain,
! [X6,X7] :
( ~ leq(X7,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X6,minus(n3,n1)) ),
inference(cnf_transformation,[],[f159]) ).
fof(f424,plain,
( leq(sK4,minus(n3,n1))
| ~ spl8_1 ),
inference(unit_resulting_resolution,[],[f295,f217]) ).
fof(f217,plain,
( leq(sK4,minus(n3,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f423,plain,
( leq(sK5,minus(n3,n1))
| ~ spl8_1 ),
inference(unit_resulting_resolution,[],[f295,f214]) ).
fof(f214,plain,
( leq(sK5,minus(n3,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f422,plain,
( leq(n0,sK4)
| ~ spl8_1 ),
inference(unit_resulting_resolution,[],[f295,f216]) ).
fof(f216,plain,
( leq(n0,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f421,plain,
( leq(n0,sK5)
| ~ spl8_1 ),
inference(unit_resulting_resolution,[],[f295,f215]) ).
fof(f215,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f418,plain,
~ spl8_2,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl8_2 ),
inference(subsumption_resolution,[],[f396,f325]) ).
fof(f325,plain,
( a_select3(q_ds1_filter,sK3,sK2) != a_select3(q_ds1_filter,sK2,sK3)
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f299,f211]) ).
fof(f211,plain,
( a_select3(q_ds1_filter,sK3,sK2) != a_select3(q_ds1_filter,sK2,sK3)
| ~ sP1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( leq(n0,sK3)
& a_select3(q_ds1_filter,sK3,sK2) != a_select3(q_ds1_filter,sK2,sK3)
& leq(n0,sK2)
& leq(sK3,minus(n6,n1))
& leq(sK2,minus(n6,n1)) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f150,f151]) ).
fof(f151,plain,
( ? [X0,X1] :
( leq(n0,X1)
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1)) )
=> ( leq(n0,sK3)
& a_select3(q_ds1_filter,sK3,sK2) != a_select3(q_ds1_filter,sK2,sK3)
& leq(n0,sK2)
& leq(sK3,minus(n6,n1))
& leq(sK2,minus(n6,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X0,X1] :
( leq(n0,X1)
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1)) )
| ~ sP1 ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
( ? [X15,X14] :
( leq(n0,X14)
& a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(n0,X15)
& leq(X14,minus(n6,n1))
& leq(X15,minus(n6,n1)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f141]) ).
fof(f299,plain,
( sP1
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl8_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f396,plain,
( a_select3(q_ds1_filter,sK3,sK2) = a_select3(q_ds1_filter,sK2,sK3)
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f326,f329,f327,f328,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f328,plain,
( leq(sK3,minus(n6,n1))
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f299,f209]) ).
fof(f209,plain,
( leq(sK3,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f327,plain,
( leq(sK2,minus(n6,n1))
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f299,f208]) ).
fof(f208,plain,
( leq(sK2,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f329,plain,
( leq(n0,sK3)
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f299,f212]) ).
fof(f212,plain,
( leq(n0,sK3)
| ~ sP1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f326,plain,
( leq(n0,sK2)
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f299,f210]) ).
fof(f210,plain,
( leq(n0,sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f324,plain,
( spl8_2
| spl8_7
| spl8_1 ),
inference(avatar_split_clause,[],[f221,f293,f321,f297]) ).
fof(f221,plain,
( sP0
| leq(sK7,minus(n6,n1))
| sP1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f319,plain,
( spl8_1
| spl8_6
| spl8_2 ),
inference(avatar_split_clause,[],[f219,f297,f316,f293]) ).
fof(f219,plain,
( sP1
| leq(n0,sK7)
| sP0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f314,plain,
( ~ spl8_5
| spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f218,f297,f293,f311]) ).
fof(f218,plain,
( sP1
| sP0
| a_select3(pminus_ds1_filter,sK7,sK6) != a_select3(pminus_ds1_filter,sK6,sK7) ),
inference(cnf_transformation,[],[f159]) ).
fof(f309,plain,
( spl8_1
| spl8_2
| spl8_4 ),
inference(avatar_split_clause,[],[f222,f306,f297,f293]) ).
fof(f222,plain,
( leq(n0,sK6)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f304,plain,
( spl8_1
| spl8_2
| spl8_3 ),
inference(avatar_split_clause,[],[f220,f301,f297,f293]) ).
fof(f220,plain,
( leq(sK6,minus(n6,n1))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV116+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.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 : 300
% 0.12/0.33 % DateTime : Tue Aug 30 20:46:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (22696)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.49 % (22710)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (22718)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.50 % (22702)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.50 % (22699)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.50 % (22704)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.51 % (22717)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.51 % (22711)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (22709)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51 % (22710)Instruction limit reached!
% 0.18/0.51 % (22710)------------------------------
% 0.18/0.51 % (22710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22716)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (22709)Instruction limit reached!
% 0.18/0.52 % (22709)------------------------------
% 0.18/0.52 % (22709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22709)Termination reason: Unknown
% 0.18/0.52 % (22709)Termination phase: Preprocessing 3
% 0.18/0.52
% 0.18/0.52 % (22709)Memory used [KB]: 1535
% 0.18/0.52 % (22709)Time elapsed: 0.005 s
% 0.18/0.52 % (22709)Instructions burned: 3 (million)
% 0.18/0.52 % (22709)------------------------------
% 0.18/0.52 % (22709)------------------------------
% 0.18/0.52 % (22710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22710)Termination reason: Unknown
% 0.18/0.52 % (22710)Termination phase: Function definition elimination
% 0.18/0.52
% 0.18/0.52 % (22710)Memory used [KB]: 1663
% 0.18/0.52 % (22710)Time elapsed: 0.007 s
% 0.18/0.52 % (22710)Instructions burned: 7 (million)
% 0.18/0.52 % (22710)------------------------------
% 0.18/0.52 % (22710)------------------------------
% 0.18/0.52 % (22701)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.52 % (22724)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.52 % (22696)Instruction limit reached!
% 0.18/0.52 % (22696)------------------------------
% 0.18/0.52 % (22696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22696)Termination reason: Unknown
% 0.18/0.52 % (22696)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (22696)Memory used [KB]: 1791
% 0.18/0.52 % (22696)Time elapsed: 0.008 s
% 0.18/0.52 % (22696)Instructions burned: 14 (million)
% 0.18/0.52 % (22696)------------------------------
% 0.18/0.52 % (22696)------------------------------
% 0.18/0.52 % (22695)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (22720)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.52 % (22704)First to succeed.
% 0.18/0.52 % (22697)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53 % (22700)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.53 % (22697)Instruction limit reached!
% 0.18/0.53 % (22697)------------------------------
% 0.18/0.53 % (22697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (22698)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (22697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (22697)Termination reason: Unknown
% 0.18/0.53 % (22697)Termination phase: Naming
% 0.18/0.53
% 0.18/0.53 % (22697)Memory used [KB]: 1535
% 0.18/0.53 % (22697)Time elapsed: 0.003 s
% 0.18/0.53 % (22697)Instructions burned: 3 (million)
% 0.18/0.53 % (22697)------------------------------
% 0.18/0.53 % (22697)------------------------------
% 0.18/0.53 % (22723)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53 % (22704)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (22704)------------------------------
% 0.18/0.53 % (22704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (22704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (22704)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (22704)Memory used [KB]: 6396
% 0.18/0.53 % (22704)Time elapsed: 0.119 s
% 0.18/0.53 % (22704)Instructions burned: 18 (million)
% 0.18/0.53 % (22704)------------------------------
% 0.18/0.53 % (22704)------------------------------
% 0.18/0.53 % (22694)Success in time 0.188 s
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