TSTP Solution File: SET775+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET775+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : n019.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 18:22:12 EDT 2022
% Result : Theorem 1.62s 0.58s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 146 ( 3 unt; 0 def)
% Number of atoms : 838 ( 0 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1135 ( 443 ~; 499 |; 140 &)
% ( 17 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 9 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 286 ( 235 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f334,plain,
$false,
inference(avatar_sat_refutation,[],[f128,f131,f273,f276,f279,f291,f308,f315,f330,f333]) ).
fof(f333,plain,
( ~ spl10_1
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| ~ spl10_1
| ~ spl10_9 ),
inference(subsumption_resolution,[],[f331,f66]) ).
fof(f66,plain,
pre_order(sK7,sK8),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( pre_order(sK7,sK8)
& ! [X3,X4] :
( ~ member(X3,sK8)
| ~ member(X4,sK8)
| ( ( ( apply(sK7,X3,X4)
& apply(sK7,X4,X3) )
| ~ apply(sK9,X3,X4) )
& ( apply(sK9,X3,X4)
| ~ apply(sK7,X3,X4)
| ~ apply(sK7,X4,X3) ) ) )
& ~ equivalence(sK9,sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f43,f44]) ).
fof(f44,plain,
( ? [X0,X1,X2] :
( pre_order(X0,X1)
& ! [X3,X4] :
( ~ member(X3,X1)
| ~ member(X4,X1)
| ( ( ( apply(X0,X3,X4)
& apply(X0,X4,X3) )
| ~ apply(X2,X3,X4) )
& ( apply(X2,X3,X4)
| ~ apply(X0,X3,X4)
| ~ apply(X0,X4,X3) ) ) )
& ~ equivalence(X2,X1) )
=> ( pre_order(sK7,sK8)
& ! [X4,X3] :
( ~ member(X3,sK8)
| ~ member(X4,sK8)
| ( ( ( apply(sK7,X3,X4)
& apply(sK7,X4,X3) )
| ~ apply(sK9,X3,X4) )
& ( apply(sK9,X3,X4)
| ~ apply(sK7,X3,X4)
| ~ apply(sK7,X4,X3) ) ) )
& ~ equivalence(sK9,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1,X2] :
( pre_order(X0,X1)
& ! [X3,X4] :
( ~ member(X3,X1)
| ~ member(X4,X1)
| ( ( ( apply(X0,X3,X4)
& apply(X0,X4,X3) )
| ~ apply(X2,X3,X4) )
& ( apply(X2,X3,X4)
| ~ apply(X0,X3,X4)
| ~ apply(X0,X4,X3) ) ) )
& ~ equivalence(X2,X1) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
? [X1,X0,X2] :
( pre_order(X1,X0)
& ! [X3,X4] :
( ~ member(X3,X0)
| ~ member(X4,X0)
| ( ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
| ~ apply(X2,X3,X4) )
& ( apply(X2,X3,X4)
| ~ apply(X1,X3,X4)
| ~ apply(X1,X4,X3) ) ) )
& ~ equivalence(X2,X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X1,X0,X2] :
( pre_order(X1,X0)
& ! [X3,X4] :
( ~ member(X3,X0)
| ~ member(X4,X0)
| ( ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
| ~ apply(X2,X3,X4) )
& ( apply(X2,X3,X4)
| ~ apply(X1,X3,X4)
| ~ apply(X1,X4,X3) ) ) )
& ~ equivalence(X2,X0) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
? [X1,X0,X2] :
( pre_order(X1,X0)
& ! [X3,X4] :
( ~ member(X3,X0)
| ~ member(X4,X0)
| ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
<=> apply(X2,X3,X4) ) )
& ~ equivalence(X2,X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X0)
& ! [X4,X3] :
( ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
<=> apply(X2,X3,X4) )
| ~ member(X3,X0)
| ~ member(X4,X0) )
& pre_order(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2] :
( ( ! [X4,X3] :
( ( member(X3,X0)
& member(X4,X0) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X4,X3) )
<=> apply(X2,X3,X4) ) )
& pre_order(X1,X0) )
=> equivalence(X2,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X7,X6] :
( ( ! [X0,X1] :
( ( member(X0,X3)
& member(X1,X3) )
=> ( apply(X6,X0,X1)
<=> ( apply(X7,X1,X0)
& apply(X7,X0,X1) ) ) )
& pre_order(X7,X3) )
=> equivalence(X6,X3) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X7,X6] :
( ( ! [X0,X1] :
( ( member(X0,X3)
& member(X1,X3) )
=> ( apply(X6,X0,X1)
<=> ( apply(X7,X1,X0)
& apply(X7,X0,X1) ) ) )
& pre_order(X7,X3) )
=> equivalence(X6,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII11) ).
fof(f331,plain,
( ~ pre_order(sK7,sK8)
| ~ spl10_1
| ~ spl10_9 ),
inference(resolution,[],[f307,f119]) ).
fof(f119,plain,
( member(sK4(sK8,sK9),sK8)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl10_1
<=> member(sK4(sK8,sK9),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f307,plain,
( ! [X0] :
( ~ member(sK4(sK8,sK9),X0)
| ~ pre_order(sK7,X0) )
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl10_9
<=> ! [X0] :
( ~ pre_order(sK7,X0)
| ~ member(sK4(sK8,sK9),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f330,plain,
( spl10_9
| ~ spl10_1
| ~ spl10_2
| spl10_3
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f329,f312,f125,f121,f117,f306]) ).
fof(f121,plain,
( spl10_2
<=> member(sK5(sK8,sK9),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f125,plain,
( spl10_3
<=> sP0(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f312,plain,
( spl10_10
<=> member(sK6(sK8,sK9),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f329,plain,
( ! [X1] :
( ~ pre_order(sK7,X1)
| ~ member(sK4(sK8,sK9),X1) )
| ~ spl10_1
| ~ spl10_2
| spl10_3
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f328,f62]) ).
fof(f62,plain,
~ equivalence(sK9,sK8),
inference(cnf_transformation,[],[f45]) ).
fof(f328,plain,
( ! [X1] :
( equivalence(sK9,sK8)
| ~ pre_order(sK7,X1)
| ~ member(sK4(sK8,sK9),X1) )
| ~ spl10_1
| ~ spl10_2
| spl10_3
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f327,f126]) ).
fof(f126,plain,
( ~ sP0(sK9,sK8)
| spl10_3 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f327,plain,
( ! [X1] :
( sP0(sK9,sK8)
| equivalence(sK9,sK8)
| ~ pre_order(sK7,X1)
| ~ member(sK4(sK8,sK9),X1) )
| ~ spl10_1
| ~ spl10_2
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f326,f122]) ).
fof(f122,plain,
( member(sK5(sK8,sK9),sK8)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f326,plain,
( ! [X1] :
( ~ member(sK5(sK8,sK9),sK8)
| ~ member(sK4(sK8,sK9),X1)
| sP0(sK9,sK8)
| ~ pre_order(sK7,X1)
| equivalence(sK9,sK8) )
| ~ spl10_1
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f320,f119]) ).
fof(f320,plain,
( ! [X1] :
( ~ pre_order(sK7,X1)
| ~ member(sK4(sK8,sK9),X1)
| ~ member(sK4(sK8,sK9),sK8)
| equivalence(sK9,sK8)
| ~ member(sK5(sK8,sK9),sK8)
| sP0(sK9,sK8) )
| ~ spl10_10 ),
inference(resolution,[],[f314,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ member(sK6(X0,sK9),sK8)
| sP0(sK9,X0)
| ~ member(sK4(X0,sK9),sK8)
| ~ member(sK4(X0,sK9),X1)
| equivalence(sK9,X0)
| ~ pre_order(sK7,X1)
| ~ member(sK5(X0,sK9),sK8) ),
inference(subsumption_resolution,[],[f153,f73]) ).
fof(f73,plain,
! [X4,X5] :
( apply(sK9,X4,X4)
| ~ member(X4,X5)
| ~ member(X4,sK8)
| ~ pre_order(sK7,X5) ),
inference(subsumption_resolution,[],[f72,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( apply(X0,X2,X2)
| ~ member(X2,X1)
| ~ pre_order(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
& ! [X3,X4,X5] :
( ~ member(X4,X1)
| ~ member(X3,X1)
| apply(X0,X3,X4)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X5,X4)
| ~ member(X5,X1) ) )
| ~ pre_order(X0,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4,X5] :
( ~ member(X4,X0)
| ~ member(X3,X0)
| apply(X1,X3,X4)
| ~ apply(X1,X3,X5)
| ~ apply(X1,X5,X4)
| ~ member(X5,X0) ) )
| ~ pre_order(X1,X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4,X5] :
( apply(X1,X3,X4)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X5,X0)
| ~ member(X3,X0)
| ~ member(X4,X0) ) )
| ~ pre_order(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( pre_order(X1,X0)
=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4,X5] :
( ( member(X5,X0)
& member(X3,X0)
& member(X4,X0) )
=> ( ( apply(X1,X5,X4)
& apply(X1,X3,X5) )
=> apply(X1,X3,X4) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( pre_order(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4,X5] :
( ( member(X5,X0)
& member(X3,X0)
& member(X4,X0) )
=> ( ( apply(X1,X5,X4)
& apply(X1,X3,X5) )
=> apply(X1,X3,X4) ) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X6] :
( ( ! [X2] :
( member(X2,X3)
=> apply(X6,X2,X2) )
& ! [X2,X5,X4] :
( ( member(X5,X3)
& member(X4,X3)
& member(X2,X3) )
=> ( ( apply(X6,X2,X4)
& apply(X6,X4,X5) )
=> apply(X6,X2,X5) ) ) )
<=> pre_order(X6,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pre_order) ).
fof(f72,plain,
! [X4,X5] :
( ~ member(X4,X5)
| ~ member(X4,sK8)
| ~ apply(sK7,X4,X4)
| ~ pre_order(sK7,X5)
| apply(sK9,X4,X4) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f69,plain,
! [X4,X5] :
( ~ pre_order(sK7,X5)
| ~ member(X4,sK8)
| ~ member(X4,sK8)
| ~ member(X4,X5)
| apply(sK9,X4,X4)
| ~ apply(sK7,X4,X4) ),
inference(resolution,[],[f47,f63]) ).
fof(f63,plain,
! [X3,X4] :
( ~ apply(sK7,X4,X3)
| ~ member(X3,sK8)
| ~ apply(sK7,X3,X4)
| apply(sK9,X3,X4)
| ~ member(X4,sK8) ),
inference(cnf_transformation,[],[f45]) ).
fof(f153,plain,
! [X0,X1] :
( equivalence(sK9,X0)
| ~ pre_order(sK7,X1)
| ~ apply(sK9,sK4(X0,sK9),sK4(X0,sK9))
| ~ member(sK4(X0,sK9),X1)
| sP0(sK9,X0)
| ~ member(sK4(X0,sK9),sK8)
| ~ member(sK6(X0,sK9),sK8)
| ~ member(sK5(X0,sK9),sK8) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ~ member(sK5(X0,sK9),sK8)
| sP0(sK9,X0)
| ~ member(sK4(X0,sK9),X1)
| ~ pre_order(sK7,X1)
| ~ member(sK4(X0,sK9),sK8)
| equivalence(sK9,X0)
| ~ member(sK6(X0,sK9),sK8)
| ~ apply(sK9,sK4(X0,sK9),sK4(X0,sK9))
| sP0(sK9,X0)
| equivalence(sK9,X0) ),
inference(resolution,[],[f148,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apply(X1,sK5(X0,X1),sK6(X0,X1))
| ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
| sP0(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
& member(sK4(X0,X1),X0) )
| equivalence(X1,X0)
| ( apply(X1,sK6(X0,X1),sK5(X0,X1))
& member(sK5(X0,X1),X0)
& member(sK6(X0,X1),X0)
& ~ apply(X1,sK5(X0,X1),sK6(X0,X1)) )
| sP0(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f37,f39,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
=> ( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
& member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X3,X4] :
( apply(X1,X4,X3)
& member(X3,X0)
& member(X4,X0)
& ~ apply(X1,X3,X4) )
=> ( apply(X1,sK6(X0,X1),sK5(X0,X1))
& member(sK5(X0,X1),X0)
& member(sK6(X0,X1),X0)
& ~ apply(X1,sK5(X0,X1),sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| equivalence(X1,X0)
| ? [X3,X4] :
( apply(X1,X4,X3)
& member(X3,X0)
& member(X4,X0)
& ~ apply(X1,X3,X4) )
| sP0(X1,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ? [X4] :
( ~ apply(X0,X4,X4)
& member(X4,X1) )
| equivalence(X0,X1)
| ? [X3,X2] :
( apply(X0,X2,X3)
& member(X3,X1)
& member(X2,X1)
& ~ apply(X0,X3,X2) )
| sP0(X0,X1) ),
inference(definition_folding,[],[f25,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X7,X6,X5] :
( ~ apply(X0,X5,X7)
& member(X5,X1)
& member(X7,X1)
& member(X6,X1)
& apply(X0,X5,X6)
& apply(X0,X6,X7) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f25,plain,
! [X1,X0] :
( ? [X4] :
( ~ apply(X0,X4,X4)
& member(X4,X1) )
| equivalence(X0,X1)
| ? [X3,X2] :
( apply(X0,X2,X3)
& member(X3,X1)
& member(X2,X1)
& ~ apply(X0,X3,X2) )
| ? [X7,X6,X5] :
( ~ apply(X0,X5,X7)
& member(X5,X1)
& member(X7,X1)
& member(X6,X1)
& apply(X0,X5,X6)
& apply(X0,X6,X7) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( equivalence(X0,X1)
| ? [X5,X6,X7] :
( ~ apply(X0,X5,X7)
& apply(X0,X5,X6)
& apply(X0,X6,X7)
& member(X5,X1)
& member(X7,X1)
& member(X6,X1) )
| ? [X2,X3] :
( ~ apply(X0,X3,X2)
& apply(X0,X2,X3)
& member(X3,X1)
& member(X2,X1) )
| ? [X4] :
( ~ apply(X0,X4,X4)
& member(X4,X1) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X7,X1)
& member(X6,X1) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X6,X7) )
=> apply(X0,X5,X7) ) )
& ! [X2,X3] :
( ( member(X3,X1)
& member(X2,X1) )
=> ( apply(X0,X2,X3)
=> apply(X0,X3,X2) ) )
& ! [X4] :
( member(X4,X1)
=> apply(X0,X4,X4) ) )
=> equivalence(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X7,X1)
& member(X6,X1) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X6,X7) )
=> apply(X0,X5,X7) ) )
& ! [X2,X3] :
( ( member(X3,X1)
& member(X2,X1) )
=> ( apply(X0,X2,X3)
=> apply(X0,X3,X2) ) )
& ! [X4] :
( member(X4,X1)
=> apply(X0,X4,X4) ) )
<=> equivalence(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X6,X0] :
( ( ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( apply(X6,X2,X4)
=> apply(X6,X4,X2) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X6,X2,X2) )
& ! [X2,X4,X5] :
( ( member(X4,X0)
& member(X2,X0)
& member(X5,X0) )
=> ( ( apply(X6,X2,X4)
& apply(X6,X4,X5) )
=> apply(X6,X2,X5) ) ) )
<=> equivalence(X6,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence) ).
fof(f148,plain,
! [X0,X1] :
( apply(sK9,sK5(X0,sK9),sK6(X0,sK9))
| ~ member(sK6(X0,sK9),sK8)
| ~ member(sK4(X0,sK9),sK8)
| ~ pre_order(sK7,X1)
| equivalence(sK9,X0)
| ~ member(sK5(X0,sK9),sK8)
| ~ member(sK4(X0,sK9),X1)
| sP0(sK9,X0) ),
inference(subsumption_resolution,[],[f145,f143]) ).
fof(f143,plain,
! [X2,X3] :
( apply(sK7,sK5(X2,sK9),sK6(X2,sK9))
| ~ member(sK5(X2,sK9),sK8)
| ~ member(sK4(X2,sK9),sK8)
| ~ member(sK6(X2,sK9),sK8)
| ~ pre_order(sK7,X3)
| equivalence(sK9,X2)
| sP0(sK9,X2)
| ~ member(sK4(X2,sK9),X3) ),
inference(resolution,[],[f140,f64]) ).
fof(f64,plain,
! [X3,X4] :
( ~ apply(sK9,X3,X4)
| ~ member(X3,sK8)
| ~ member(X4,sK8)
| apply(sK7,X4,X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f140,plain,
! [X6,X5] :
( apply(sK9,sK6(X5,sK9),sK5(X5,sK9))
| sP0(sK9,X5)
| ~ pre_order(sK7,X6)
| ~ member(sK4(X5,sK9),X6)
| ~ member(sK4(X5,sK9),sK8)
| equivalence(sK9,X5) ),
inference(resolution,[],[f61,f73]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
| equivalence(X1,X0)
| apply(X1,sK6(X0,X1),sK5(X0,X1))
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f145,plain,
! [X0,X1] :
( ~ member(sK6(X0,sK9),sK8)
| ~ member(sK4(X0,sK9),X1)
| ~ member(sK4(X0,sK9),sK8)
| sP0(sK9,X0)
| equivalence(sK9,X0)
| ~ member(sK5(X0,sK9),sK8)
| ~ pre_order(sK7,X1)
| ~ apply(sK7,sK5(X0,sK9),sK6(X0,sK9))
| apply(sK9,sK5(X0,sK9),sK6(X0,sK9)) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ~ pre_order(sK7,X1)
| ~ apply(sK7,sK5(X0,sK9),sK6(X0,sK9))
| ~ member(sK6(X0,sK9),sK8)
| equivalence(sK9,X0)
| sP0(sK9,X0)
| ~ member(sK4(X0,sK9),X1)
| ~ member(sK5(X0,sK9),sK8)
| apply(sK9,sK5(X0,sK9),sK6(X0,sK9))
| ~ member(sK4(X0,sK9),sK8)
| ~ member(sK5(X0,sK9),sK8)
| ~ member(sK6(X0,sK9),sK8) ),
inference(resolution,[],[f142,f63]) ).
fof(f142,plain,
! [X0,X1] :
( apply(sK7,sK6(X0,sK9),sK5(X0,sK9))
| sP0(sK9,X0)
| ~ member(sK4(X0,sK9),X1)
| equivalence(sK9,X0)
| ~ member(sK4(X0,sK9),sK8)
| ~ member(sK6(X0,sK9),sK8)
| ~ member(sK5(X0,sK9),sK8)
| ~ pre_order(sK7,X1) ),
inference(resolution,[],[f140,f65]) ).
fof(f65,plain,
! [X3,X4] :
( ~ apply(sK9,X3,X4)
| ~ member(X4,sK8)
| ~ member(X3,sK8)
| apply(sK7,X3,X4) ),
inference(cnf_transformation,[],[f45]) ).
fof(f314,plain,
( member(sK6(sK8,sK9),sK8)
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
( spl10_9
| spl10_10
| ~ spl10_1
| spl10_3 ),
inference(avatar_split_clause,[],[f310,f125,f117,f312,f306]) ).
fof(f310,plain,
( ! [X1] :
( member(sK6(sK8,sK9),sK8)
| ~ member(sK4(sK8,sK9),X1)
| ~ pre_order(sK7,X1) )
| ~ spl10_1
| spl10_3 ),
inference(subsumption_resolution,[],[f309,f126]) ).
fof(f309,plain,
( ! [X1] :
( member(sK6(sK8,sK9),sK8)
| ~ member(sK4(sK8,sK9),X1)
| ~ pre_order(sK7,X1)
| sP0(sK9,sK8) )
| ~ spl10_1 ),
inference(subsumption_resolution,[],[f293,f62]) ).
fof(f293,plain,
( ! [X1] :
( equivalence(sK9,sK8)
| ~ pre_order(sK7,X1)
| sP0(sK9,sK8)
| member(sK6(sK8,sK9),sK8)
| ~ member(sK4(sK8,sK9),X1) )
| ~ spl10_1 ),
inference(resolution,[],[f119,f134]) ).
fof(f134,plain,
! [X6,X5] :
( ~ member(sK4(X5,sK9),sK8)
| sP0(sK9,X5)
| member(sK6(X5,sK9),X5)
| ~ member(sK4(X5,sK9),X6)
| equivalence(sK9,X5)
| ~ pre_order(sK7,X6) ),
inference(resolution,[],[f59,f73]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
| sP0(X1,X0)
| equivalence(X1,X0)
| member(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f308,plain,
( spl10_2
| spl10_9
| ~ spl10_1
| spl10_3 ),
inference(avatar_split_clause,[],[f304,f125,f117,f306,f121]) ).
fof(f304,plain,
( ! [X0] :
( ~ pre_order(sK7,X0)
| ~ member(sK4(sK8,sK9),X0)
| member(sK5(sK8,sK9),sK8) )
| ~ spl10_1
| spl10_3 ),
inference(subsumption_resolution,[],[f303,f62]) ).
fof(f303,plain,
( ! [X0] :
( equivalence(sK9,sK8)
| ~ member(sK4(sK8,sK9),X0)
| ~ pre_order(sK7,X0)
| member(sK5(sK8,sK9),sK8) )
| ~ spl10_1
| spl10_3 ),
inference(subsumption_resolution,[],[f292,f126]) ).
fof(f292,plain,
( ! [X0] :
( ~ member(sK4(sK8,sK9),X0)
| ~ pre_order(sK7,X0)
| sP0(sK9,sK8)
| equivalence(sK9,sK8)
| member(sK5(sK8,sK9),sK8) )
| ~ spl10_1 ),
inference(resolution,[],[f119,f137]) ).
fof(f137,plain,
! [X6,X5] :
( ~ member(sK4(X5,sK9),sK8)
| member(sK5(X5,sK9),X5)
| sP0(sK9,X5)
| ~ member(sK4(X5,sK9),X6)
| ~ pre_order(sK7,X6)
| equivalence(sK9,X5) ),
inference(resolution,[],[f60,f73]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apply(X1,sK4(X0,X1),sK4(X0,X1))
| member(sK5(X0,X1),X0)
| sP0(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f291,plain,
( ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f283,f271,f267,f263,f125]) ).
fof(f263,plain,
( spl10_4
<=> member(sK1(sK9,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f267,plain,
( spl10_5
<=> member(sK2(sK9,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f271,plain,
( spl10_6
<=> ! [X0] :
( ~ member(sK2(sK9,sK8),X0)
| ~ member(sK3(sK9,sK8),X0)
| ~ member(sK1(sK9,sK8),X0)
| ~ pre_order(sK7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f283,plain,
( ~ sP0(sK9,sK8)
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(subsumption_resolution,[],[f282,f268]) ).
fof(f268,plain,
( member(sK2(sK9,sK8),sK8)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f282,plain,
( ~ member(sK2(sK9,sK8),sK8)
| ~ sP0(sK9,sK8)
| ~ spl10_4
| ~ spl10_6 ),
inference(subsumption_resolution,[],[f281,f264]) ).
fof(f264,plain,
( member(sK1(sK9,sK8),sK8)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f281,plain,
( ~ member(sK1(sK9,sK8),sK8)
| ~ member(sK2(sK9,sK8),sK8)
| ~ sP0(sK9,sK8)
| ~ spl10_6 ),
inference(subsumption_resolution,[],[f280,f66]) ).
fof(f280,plain,
( ~ pre_order(sK7,sK8)
| ~ member(sK2(sK9,sK8),sK8)
| ~ member(sK1(sK9,sK8),sK8)
| ~ sP0(sK9,sK8)
| ~ spl10_6 ),
inference(resolution,[],[f272,f52]) ).
fof(f52,plain,
! [X0,X1] :
( member(sK3(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( ~ apply(X0,sK3(X0,X1),sK1(X0,X1))
& member(sK3(X0,X1),X1)
& member(sK1(X0,X1),X1)
& member(sK2(X0,X1),X1)
& apply(X0,sK3(X0,X1),sK2(X0,X1))
& apply(X0,sK2(X0,X1),sK1(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f34,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ~ apply(X0,X4,X2)
& member(X4,X1)
& member(X2,X1)
& member(X3,X1)
& apply(X0,X4,X3)
& apply(X0,X3,X2) )
=> ( ~ apply(X0,sK3(X0,X1),sK1(X0,X1))
& member(sK3(X0,X1),X1)
& member(sK1(X0,X1),X1)
& member(sK2(X0,X1),X1)
& apply(X0,sK3(X0,X1),sK2(X0,X1))
& apply(X0,sK2(X0,X1),sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ~ apply(X0,X4,X2)
& member(X4,X1)
& member(X2,X1)
& member(X3,X1)
& apply(X0,X4,X3)
& apply(X0,X3,X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X7,X6,X5] :
( ~ apply(X0,X5,X7)
& member(X5,X1)
& member(X7,X1)
& member(X6,X1)
& apply(X0,X5,X6)
& apply(X0,X6,X7) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f30]) ).
fof(f272,plain,
( ! [X0] :
( ~ member(sK3(sK9,sK8),X0)
| ~ pre_order(sK7,X0)
| ~ member(sK1(sK9,sK8),X0)
| ~ member(sK2(sK9,sK8),X0) )
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f279,plain,
( ~ spl10_3
| spl10_5 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl10_3
| spl10_5 ),
inference(subsumption_resolution,[],[f277,f127]) ).
fof(f127,plain,
( sP0(sK9,sK8)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f277,plain,
( ~ sP0(sK9,sK8)
| spl10_5 ),
inference(resolution,[],[f269,f50]) ).
fof(f50,plain,
! [X0,X1] :
( member(sK2(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f269,plain,
( ~ member(sK2(sK9,sK8),sK8)
| spl10_5 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f276,plain,
( ~ spl10_3
| spl10_4 ),
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| ~ spl10_3
| spl10_4 ),
inference(subsumption_resolution,[],[f274,f127]) ).
fof(f274,plain,
( ~ sP0(sK9,sK8)
| spl10_4 ),
inference(resolution,[],[f265,f51]) ).
fof(f51,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f265,plain,
( ~ member(sK1(sK9,sK8),sK8)
| spl10_4 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f273,plain,
( ~ spl10_4
| ~ spl10_5
| spl10_6
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f261,f125,f271,f267,f263]) ).
fof(f261,plain,
( ! [X0] :
( ~ member(sK2(sK9,sK8),X0)
| ~ pre_order(sK7,X0)
| ~ member(sK1(sK9,sK8),X0)
| ~ member(sK2(sK9,sK8),sK8)
| ~ member(sK3(sK9,sK8),X0)
| ~ member(sK1(sK9,sK8),sK8) )
| ~ spl10_3 ),
inference(subsumption_resolution,[],[f260,f127]) ).
fof(f260,plain,
! [X0] :
( ~ member(sK2(sK9,sK8),X0)
| ~ member(sK1(sK9,sK8),sK8)
| ~ sP0(sK9,sK8)
| ~ member(sK2(sK9,sK8),sK8)
| ~ member(sK1(sK9,sK8),X0)
| ~ pre_order(sK7,X0)
| ~ member(sK3(sK9,sK8),X0) ),
inference(duplicate_literal_removal,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ~ sP0(sK9,sK8)
| ~ pre_order(sK7,X0)
| ~ member(sK2(sK9,sK8),sK8)
| ~ member(sK3(sK9,sK8),X0)
| ~ member(sK1(sK9,sK8),X0)
| ~ member(sK1(sK9,sK8),sK8)
| ~ member(sK2(sK9,sK8),X0)
| ~ sP0(sK9,sK8) ),
inference(resolution,[],[f258,f52]) ).
fof(f258,plain,
! [X3,X4] :
( ~ member(sK3(sK9,X3),sK8)
| ~ member(sK2(sK9,X3),X4)
| ~ member(sK1(sK9,X3),X4)
| ~ pre_order(sK7,X4)
| ~ sP0(sK9,X3)
| ~ member(sK2(sK9,X3),sK8)
| ~ member(sK1(sK9,X3),sK8)
| ~ member(sK3(sK9,X3),X4) ),
inference(subsumption_resolution,[],[f257,f215]) ).
fof(f215,plain,
! [X6,X5] :
( apply(sK7,sK3(sK9,X5),sK1(sK9,X5))
| ~ member(sK2(sK9,X5),sK8)
| ~ member(sK1(sK9,X5),sK8)
| ~ member(sK1(sK9,X5),X6)
| ~ sP0(sK9,X5)
| ~ member(sK3(sK9,X5),sK8)
| ~ member(sK3(sK9,X5),X6)
| ~ pre_order(sK7,X6)
| ~ member(sK2(sK9,X5),X6) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,plain,
! [X6,X5] :
( ~ member(sK1(sK9,X5),X6)
| ~ pre_order(sK7,X6)
| ~ member(sK2(sK9,X5),sK8)
| apply(sK7,sK3(sK9,X5),sK1(sK9,X5))
| ~ sP0(sK9,X5)
| ~ member(sK2(sK9,X5),X6)
| ~ member(sK3(sK9,X5),X6)
| ~ member(sK1(sK9,X5),sK8)
| ~ member(sK3(sK9,X5),sK8)
| ~ member(sK2(sK9,X5),sK8)
| ~ sP0(sK9,X5) ),
inference(resolution,[],[f186,f92]) ).
fof(f92,plain,
! [X0] :
( apply(sK7,sK3(sK9,X0),sK2(sK9,X0))
| ~ sP0(sK9,X0)
| ~ member(sK3(sK9,X0),sK8)
| ~ member(sK2(sK9,X0),sK8) ),
inference(resolution,[],[f49,f65]) ).
fof(f49,plain,
! [X0,X1] :
( apply(X0,sK3(X0,X1),sK2(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f186,plain,
! [X31,X29,X30] :
( ~ apply(sK7,X29,sK2(sK9,X30))
| ~ member(sK2(sK9,X30),sK8)
| ~ member(sK1(sK9,X30),sK8)
| ~ member(X29,X31)
| apply(sK7,X29,sK1(sK9,X30))
| ~ pre_order(sK7,X31)
| ~ sP0(sK9,X30)
| ~ member(sK1(sK9,X30),X31)
| ~ member(sK2(sK9,X30),X31) ),
inference(resolution,[],[f46,f80]) ).
fof(f80,plain,
! [X0] :
( apply(sK7,sK2(sK9,X0),sK1(sK9,X0))
| ~ member(sK1(sK9,X0),sK8)
| ~ member(sK2(sK9,X0),sK8)
| ~ sP0(sK9,X0) ),
inference(resolution,[],[f48,f65]) ).
fof(f48,plain,
! [X0,X1] :
( apply(X0,sK2(X0,X1),sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f46,plain,
! [X3,X0,X1,X4,X5] :
( ~ apply(X0,X5,X4)
| ~ apply(X0,X3,X5)
| ~ pre_order(X0,X1)
| ~ member(X5,X1)
| apply(X0,X3,X4)
| ~ member(X4,X1)
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f257,plain,
! [X3,X4] :
( ~ member(sK3(sK9,X3),sK8)
| ~ pre_order(sK7,X4)
| ~ apply(sK7,sK3(sK9,X3),sK1(sK9,X3))
| ~ member(sK2(sK9,X3),X4)
| ~ member(sK1(sK9,X3),X4)
| ~ member(sK2(sK9,X3),sK8)
| ~ sP0(sK9,X3)
| ~ member(sK1(sK9,X3),sK8)
| ~ member(sK3(sK9,X3),X4) ),
inference(subsumption_resolution,[],[f255,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ apply(X0,sK3(X0,X1),sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f255,plain,
! [X3,X4] :
( apply(sK9,sK3(sK9,X3),sK1(sK9,X3))
| ~ sP0(sK9,X3)
| ~ pre_order(sK7,X4)
| ~ member(sK3(sK9,X3),sK8)
| ~ member(sK1(sK9,X3),sK8)
| ~ member(sK2(sK9,X3),sK8)
| ~ member(sK2(sK9,X3),X4)
| ~ apply(sK7,sK3(sK9,X3),sK1(sK9,X3))
| ~ member(sK3(sK9,X3),X4)
| ~ member(sK1(sK9,X3),X4) ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f253,plain,
! [X3,X4] :
( ~ member(sK2(sK9,X3),sK8)
| apply(sK9,sK3(sK9,X3),sK1(sK9,X3))
| ~ pre_order(sK7,X4)
| ~ member(sK3(sK9,X3),sK8)
| ~ member(sK1(sK9,X3),sK8)
| ~ member(sK3(sK9,X3),sK8)
| ~ member(sK3(sK9,X3),X4)
| ~ member(sK1(sK9,X3),sK8)
| ~ member(sK1(sK9,X3),X4)
| ~ sP0(sK9,X3)
| ~ apply(sK7,sK3(sK9,X3),sK1(sK9,X3))
| ~ member(sK2(sK9,X3),X4) ),
inference(resolution,[],[f226,f63]) ).
fof(f226,plain,
! [X3,X4] :
( apply(sK7,sK1(sK9,X3),sK3(sK9,X3))
| ~ member(sK3(sK9,X3),X4)
| ~ member(sK1(sK9,X3),sK8)
| ~ sP0(sK9,X3)
| ~ member(sK1(sK9,X3),X4)
| ~ member(sK2(sK9,X3),X4)
| ~ member(sK3(sK9,X3),sK8)
| ~ pre_order(sK7,X4)
| ~ member(sK2(sK9,X3),sK8) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f220,plain,
! [X3,X4] :
( ~ member(sK2(sK9,X3),X4)
| ~ member(sK2(sK9,X3),sK8)
| ~ member(sK2(sK9,X3),sK8)
| ~ sP0(sK9,X3)
| apply(sK7,sK1(sK9,X3),sK3(sK9,X3))
| ~ sP0(sK9,X3)
| ~ member(sK1(sK9,X3),X4)
| ~ member(sK3(sK9,X3),sK8)
| ~ pre_order(sK7,X4)
| ~ member(sK3(sK9,X3),X4)
| ~ member(sK1(sK9,X3),sK8) ),
inference(resolution,[],[f187,f81]) ).
fof(f81,plain,
! [X1] :
( apply(sK7,sK1(sK9,X1),sK2(sK9,X1))
| ~ member(sK1(sK9,X1),sK8)
| ~ sP0(sK9,X1)
| ~ member(sK2(sK9,X1),sK8) ),
inference(resolution,[],[f48,f64]) ).
fof(f187,plain,
! [X34,X32,X33] :
( ~ apply(sK7,X32,sK2(sK9,X33))
| ~ sP0(sK9,X33)
| apply(sK7,X32,sK3(sK9,X33))
| ~ pre_order(sK7,X34)
| ~ member(sK3(sK9,X33),X34)
| ~ member(sK3(sK9,X33),sK8)
| ~ member(sK2(sK9,X33),sK8)
| ~ member(X32,X34)
| ~ member(sK2(sK9,X33),X34) ),
inference(resolution,[],[f46,f93]) ).
fof(f93,plain,
! [X1] :
( apply(sK7,sK2(sK9,X1),sK3(sK9,X1))
| ~ member(sK3(sK9,X1),sK8)
| ~ member(sK2(sK9,X1),sK8)
| ~ sP0(sK9,X1) ),
inference(resolution,[],[f49,f64]) ).
fof(f131,plain,
( spl10_3
| spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f130,f121,f117,f125]) ).
fof(f130,plain,
( member(sK4(sK8,sK9),sK8)
| sP0(sK9,sK8)
| spl10_2 ),
inference(subsumption_resolution,[],[f129,f62]) ).
fof(f129,plain,
( equivalence(sK9,sK8)
| member(sK4(sK8,sK9),sK8)
| sP0(sK9,sK8)
| spl10_2 ),
inference(resolution,[],[f123,f56]) ).
fof(f56,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| equivalence(X1,X0)
| member(sK4(X0,X1),X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f123,plain,
( ~ member(sK5(sK8,sK9),sK8)
| spl10_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f128,plain,
( spl10_1
| ~ spl10_2
| spl10_3 ),
inference(avatar_split_clause,[],[f115,f125,f121,f117]) ).
fof(f115,plain,
( sP0(sK9,sK8)
| ~ member(sK5(sK8,sK9),sK8)
| member(sK4(sK8,sK9),sK8) ),
inference(subsumption_resolution,[],[f114,f62]) ).
fof(f114,plain,
( ~ member(sK5(sK8,sK9),sK8)
| sP0(sK9,sK8)
| equivalence(sK9,sK8)
| member(sK4(sK8,sK9),sK8) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
( equivalence(sK9,sK8)
| equivalence(sK9,sK8)
| sP0(sK9,sK8)
| ~ member(sK5(sK8,sK9),sK8)
| member(sK4(sK8,sK9),sK8)
| sP0(sK9,sK8)
| member(sK4(sK8,sK9),sK8) ),
inference(resolution,[],[f112,f55]) ).
fof(f55,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| equivalence(X1,X0)
| member(sK4(X0,X1),X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f112,plain,
! [X0] :
( ~ member(sK6(X0,sK9),sK8)
| member(sK4(X0,sK9),X0)
| equivalence(sK9,X0)
| sP0(sK9,X0)
| ~ member(sK5(X0,sK9),sK8) ),
inference(subsumption_resolution,[],[f109,f105]) ).
fof(f105,plain,
! [X1] :
( apply(sK7,sK5(X1,sK9),sK6(X1,sK9))
| ~ member(sK5(X1,sK9),sK8)
| sP0(sK9,X1)
| ~ member(sK6(X1,sK9),sK8)
| member(sK4(X1,sK9),X1)
| equivalence(sK9,X1) ),
inference(resolution,[],[f57,f64]) ).
fof(f57,plain,
! [X0,X1] :
( apply(X1,sK6(X0,X1),sK5(X0,X1))
| member(sK4(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f109,plain,
! [X0] :
( ~ member(sK6(X0,sK9),sK8)
| member(sK4(X0,sK9),X0)
| equivalence(sK9,X0)
| ~ apply(sK7,sK5(X0,sK9),sK6(X0,sK9))
| sP0(sK9,X0)
| ~ member(sK5(X0,sK9),sK8) ),
inference(subsumption_resolution,[],[f108,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ apply(X1,sK5(X0,X1),sK6(X0,X1))
| equivalence(X1,X0)
| member(sK4(X0,X1),X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f108,plain,
! [X0] :
( ~ member(sK6(X0,sK9),sK8)
| equivalence(sK9,X0)
| apply(sK9,sK5(X0,sK9),sK6(X0,sK9))
| ~ apply(sK7,sK5(X0,sK9),sK6(X0,sK9))
| member(sK4(X0,sK9),X0)
| sP0(sK9,X0)
| ~ member(sK5(X0,sK9),sK8) ),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f107,plain,
! [X0] :
( sP0(sK9,X0)
| member(sK4(X0,sK9),X0)
| ~ apply(sK7,sK5(X0,sK9),sK6(X0,sK9))
| ~ member(sK6(X0,sK9),sK8)
| apply(sK9,sK5(X0,sK9),sK6(X0,sK9))
| ~ member(sK5(X0,sK9),sK8)
| ~ member(sK5(X0,sK9),sK8)
| ~ member(sK6(X0,sK9),sK8)
| equivalence(sK9,X0) ),
inference(resolution,[],[f104,f63]) ).
fof(f104,plain,
! [X0] :
( apply(sK7,sK6(X0,sK9),sK5(X0,sK9))
| member(sK4(X0,sK9),X0)
| ~ member(sK5(X0,sK9),sK8)
| equivalence(sK9,X0)
| ~ member(sK6(X0,sK9),sK8)
| sP0(sK9,X0) ),
inference(resolution,[],[f57,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET775+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:20:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.47 % (3554)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.22/0.47 % (3546)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.48 % (3546)Instruction limit reached!
% 0.22/0.48 % (3546)------------------------------
% 0.22/0.48 % (3546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.49 % (3546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.49 % (3546)Termination reason: Unknown
% 0.22/0.49 % (3546)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (3546)Memory used [KB]: 1663
% 0.22/0.49 % (3546)Time elapsed: 0.067 s
% 0.22/0.49 % (3546)Instructions burned: 16 (million)
% 0.22/0.49 % (3546)------------------------------
% 0.22/0.49 % (3546)------------------------------
% 0.22/0.50 % (3554)Instruction limit reached!
% 0.22/0.50 % (3554)------------------------------
% 0.22/0.50 % (3554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.50 % (3554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.50 % (3554)Termination reason: Unknown
% 0.22/0.50 % (3554)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (3554)Memory used [KB]: 6268
% 0.22/0.50 % (3554)Time elapsed: 0.090 s
% 0.22/0.50 % (3554)Instructions burned: 31 (million)
% 0.22/0.50 % (3554)------------------------------
% 0.22/0.50 % (3554)------------------------------
% 0.22/0.52 % (3545)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.52 % (3562)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)
% 0.22/0.53 % (3543)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)
% 0.22/0.53 % (3548)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)
% 0.22/0.53 % (3534)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.22/0.53 % (3543)Refutation not found, incomplete strategy% (3543)------------------------------
% 0.22/0.53 % (3543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (3543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (3543)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (3543)Memory used [KB]: 6012
% 0.22/0.53 % (3543)Time elapsed: 0.112 s
% 0.22/0.53 % (3543)Instructions burned: 2 (million)
% 0.22/0.53 % (3543)------------------------------
% 0.22/0.53 % (3543)------------------------------
% 0.22/0.53 % (3548)Instruction limit reached!
% 0.22/0.53 % (3548)------------------------------
% 0.22/0.53 % (3548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (3548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (3548)Termination reason: Unknown
% 0.22/0.53 % (3548)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (3548)Memory used [KB]: 6012
% 0.22/0.53 % (3548)Time elapsed: 0.003 s
% 0.22/0.53 % (3548)Instructions burned: 4 (million)
% 0.22/0.53 % (3548)------------------------------
% 0.22/0.53 % (3548)------------------------------
% 0.22/0.53 % (3561)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.22/0.53 % (3542)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.22/0.53 % (3542)Refutation not found, incomplete strategy% (3542)------------------------------
% 0.22/0.53 % (3542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (3542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (3542)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (3542)Memory used [KB]: 6012
% 0.22/0.53 % (3542)Time elapsed: 0.114 s
% 0.22/0.53 % (3542)Instructions burned: 5 (million)
% 0.22/0.53 % (3542)------------------------------
% 0.22/0.53 % (3542)------------------------------
% 0.22/0.53 % (3538)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)
% 0.22/0.54 % (3556)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)
% 0.22/0.54 % (3536)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)
% 0.22/0.54 % (3545)Refutation not found, incomplete strategy% (3545)------------------------------
% 0.22/0.54 % (3545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (3545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (3545)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (3545)Memory used [KB]: 6012
% 0.22/0.54 % (3545)Time elapsed: 0.126 s
% 0.22/0.54 % (3545)Instructions burned: 2 (million)
% 0.22/0.54 % (3545)------------------------------
% 0.22/0.54 % (3545)------------------------------
% 0.22/0.54 % (3535)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)
% 0.22/0.54 % (3536)Instruction limit reached!
% 0.22/0.54 % (3536)------------------------------
% 0.22/0.54 % (3536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (3536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (3536)Termination reason: Unknown
% 0.22/0.54 % (3536)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (3536)Memory used [KB]: 6012
% 0.22/0.54 % (3536)Time elapsed: 0.003 s
% 0.22/0.54 % (3536)Instructions burned: 4 (million)
% 0.22/0.54 % (3536)------------------------------
% 0.22/0.54 % (3536)------------------------------
% 0.22/0.54 % (3544)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.22/0.54 % (3562)Instruction limit reached!
% 0.22/0.54 % (3562)------------------------------
% 0.22/0.54 % (3562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (3562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (3562)Termination reason: Unknown
% 0.22/0.54 % (3562)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (3562)Memory used [KB]: 6140
% 0.22/0.54 % (3562)Time elapsed: 0.116 s
% 0.22/0.54 % (3562)Instructions burned: 9 (million)
% 0.22/0.54 % (3562)------------------------------
% 0.22/0.54 % (3562)------------------------------
% 0.22/0.54 % (3563)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)
% 1.42/0.54 % (3539)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)
% 1.42/0.54 % (3544)Instruction limit reached!
% 1.42/0.54 % (3544)------------------------------
% 1.42/0.54 % (3544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (3540)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)
% 1.42/0.55 % (3555)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)
% 1.42/0.55 % (3537)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)
% 1.42/0.55 % (3538)Instruction limit reached!
% 1.42/0.55 % (3538)------------------------------
% 1.42/0.55 % (3538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (3538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (3538)Termination reason: Unknown
% 1.42/0.55 % (3538)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (3538)Memory used [KB]: 6140
% 1.42/0.55 % (3538)Time elapsed: 0.133 s
% 1.42/0.55 % (3538)Instructions burned: 13 (million)
% 1.42/0.55 % (3538)------------------------------
% 1.42/0.55 % (3538)------------------------------
% 1.42/0.55 % (3537)Refutation not found, incomplete strategy% (3537)------------------------------
% 1.42/0.55 % (3537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (3537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (3537)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55
% 1.42/0.55 % (3537)Memory used [KB]: 6012
% 1.42/0.55 % (3537)Time elapsed: 0.137 s
% 1.42/0.55 % (3537)Instructions burned: 3 (million)
% 1.42/0.55 % (3537)------------------------------
% 1.42/0.55 % (3537)------------------------------
% 1.42/0.55 % (3560)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55 % (3550)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)
% 1.42/0.55 % (3552)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.55 % (3549)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)
% 1.42/0.55 % (3552)Instruction limit reached!
% 1.42/0.55 % (3552)------------------------------
% 1.42/0.55 % (3552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (3552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (3552)Termination reason: Unknown
% 1.42/0.55 % (3552)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (3552)Memory used [KB]: 6012
% 1.42/0.55 % (3552)Time elapsed: 0.140 s
% 1.42/0.55 % (3552)Instructions burned: 3 (million)
% 1.42/0.55 % (3552)------------------------------
% 1.42/0.55 % (3552)------------------------------
% 1.42/0.55 % (3558)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.55 % (3539)Instruction limit reached!
% 1.42/0.55 % (3539)------------------------------
% 1.42/0.55 % (3539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (3539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (3539)Termination reason: Unknown
% 1.42/0.55 % (3539)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (3539)Memory used [KB]: 1535
% 1.42/0.55 % (3539)Time elapsed: 0.138 s
% 1.42/0.55 % (3539)Instructions burned: 15 (million)
% 1.42/0.55 % (3539)------------------------------
% 1.42/0.55 % (3539)------------------------------
% 1.42/0.56 % (3553)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.42/0.56 % (3559)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)
% 1.42/0.56 % (3547)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.56 % (3547)Refutation not found, incomplete strategy% (3547)------------------------------
% 1.62/0.56 % (3547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56 % (3544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56 % (3544)Termination reason: Unknown
% 1.62/0.56 % (3544)Termination phase: Saturation
% 1.62/0.56
% 1.62/0.56 % (3544)Memory used [KB]: 6140
% 1.62/0.56 % (3544)Time elapsed: 0.128 s
% 1.62/0.56 % (3544)Instructions burned: 13 (million)
% 1.62/0.56 % (3544)------------------------------
% 1.62/0.56 % (3544)------------------------------
% 1.62/0.56 % (3541)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)
% 1.62/0.57 % (3535)Instruction limit reached!
% 1.62/0.57 % (3535)------------------------------
% 1.62/0.57 % (3535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (3540)First to succeed.
% 1.62/0.57 % (3547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (3547)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.57
% 1.62/0.57 % (3547)Memory used [KB]: 6012
% 1.62/0.57 % (3547)Time elapsed: 0.151 s
% 1.62/0.57 % (3547)Instructions burned: 2 (million)
% 1.62/0.57 % (3547)------------------------------
% 1.62/0.57 % (3547)------------------------------
% 1.62/0.57 % (3551)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.62/0.57 % (3551)Instruction limit reached!
% 1.62/0.57 % (3551)------------------------------
% 1.62/0.57 % (3551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (3551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (3551)Termination reason: Unknown
% 1.62/0.57 % (3551)Termination phase: shuffling
% 1.62/0.57
% 1.62/0.57 % (3551)Memory used [KB]: 1535
% 1.62/0.57 % (3551)Time elapsed: 0.003 s
% 1.62/0.57 % (3551)Instructions burned: 3 (million)
% 1.62/0.57 % (3551)------------------------------
% 1.62/0.57 % (3551)------------------------------
% 1.62/0.57 % (3535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (3535)Termination reason: Unknown
% 1.62/0.57 % (3535)Termination phase: Saturation
% 1.62/0.57
% 1.62/0.57 % (3535)Memory used [KB]: 6268
% 1.62/0.57 % (3535)Time elapsed: 0.150 s
% 1.62/0.57 % (3535)Instructions burned: 13 (million)
% 1.62/0.57 % (3535)------------------------------
% 1.62/0.57 % (3535)------------------------------
% 1.62/0.57 % (3561)Instruction limit reached!
% 1.62/0.57 % (3561)------------------------------
% 1.62/0.57 % (3561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (3553)Instruction limit reached!
% 1.62/0.57 % (3553)------------------------------
% 1.62/0.57 % (3553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (3549)Instruction limit reached!
% 1.62/0.57 % (3549)------------------------------
% 1.62/0.57 % (3549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (3549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (3549)Termination reason: Unknown
% 1.62/0.57 % (3549)Termination phase: Saturation
% 1.62/0.57
% 1.62/0.57 % (3549)Memory used [KB]: 6140
% 1.62/0.57 % (3549)Time elapsed: 0.162 s
% 1.62/0.57 % (3549)Instructions burned: 7 (million)
% 1.62/0.57 % (3549)------------------------------
% 1.62/0.57 % (3549)------------------------------
% 1.62/0.57 % (3553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (3553)Termination reason: Unknown
% 1.62/0.57 % (3553)Termination phase: Saturation
% 1.62/0.57
% 1.62/0.57 % (3553)Memory used [KB]: 6140
% 1.62/0.57 % (3553)Time elapsed: 0.156 s
% 1.62/0.57 % (3553)Instructions burned: 12 (million)
% 1.62/0.57 % (3553)------------------------------
% 1.62/0.57 % (3553)------------------------------
% 1.62/0.58 % (3557)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)
% 1.62/0.58 % (3561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (3561)Termination reason: Unknown
% 1.62/0.58 % (3561)Termination phase: Saturation
% 1.62/0.58
% 1.62/0.58 % (3561)Memory used [KB]: 6524
% 1.62/0.58 % (3561)Time elapsed: 0.147 s
% 1.62/0.58 % (3561)Instructions burned: 26 (million)
% 1.62/0.58 % (3561)------------------------------
% 1.62/0.58 % (3561)------------------------------
% 1.62/0.58 % (3557)Refutation not found, incomplete strategy% (3557)------------------------------
% 1.62/0.58 % (3557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (3540)Refutation found. Thanks to Tanya!
% 1.62/0.58 % SZS status Theorem for theBenchmark
% 1.62/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.58 % (3540)------------------------------
% 1.62/0.58 % (3540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (3540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (3540)Termination reason: Refutation
% 1.62/0.58
% 1.62/0.58 % (3540)Memory used [KB]: 6140
% 1.62/0.58 % (3540)Time elapsed: 0.129 s
% 1.62/0.58 % (3540)Instructions burned: 13 (million)
% 1.62/0.58 % (3540)------------------------------
% 1.62/0.58 % (3540)------------------------------
% 1.62/0.58 % (3533)Success in time 0.212 s
%------------------------------------------------------------------------------