TSTP Solution File: SET805+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET805+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : n023.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 18:22:19 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 96 ( 8 unt; 0 def)
% Number of atoms : 398 ( 16 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 457 ( 155 ~; 165 |; 99 &)
% ( 13 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 186 ( 159 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f286,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f93,f195,f256,f285]) ).
fof(f285,plain,
( ~ spl11_3
| spl11_4 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl11_3
| spl11_4 ),
inference(subsumption_resolution,[],[f274,f92]) ).
fof(f92,plain,
( ~ apply(sK3,sK10(sK4,sK3),sK10(sK4,sK3))
| spl11_4 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl11_4
<=> apply(sK3,sK10(sK4,sK3),sK10(sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f274,plain,
( apply(sK3,sK10(sK4,sK3),sK10(sK4,sK3))
| ~ spl11_3 ),
inference(unit_resulting_resolution,[],[f54,f264,f71]) ).
fof(f71,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| ~ order(X1,X0)
| apply(X1,X3,X3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( order(X1,X0)
| ( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
& member(sK10(X0,X1),X0) )
| ~ sP0(X0,X1)
| ~ sP1(X0,X1) )
& ( ( ! [X3] :
( apply(X1,X3,X3)
| ~ member(X3,X0) )
& sP0(X0,X1)
& sP1(X0,X1) )
| ~ order(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f49,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
=> ( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
& member(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ( order(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ~ sP0(X0,X1)
| ~ sP1(X0,X1) )
& ( ( ! [X3] :
( apply(X1,X3,X3)
| ~ member(X3,X0) )
& sP0(X0,X1)
& sP1(X0,X1) )
| ~ order(X1,X0) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( order(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ~ sP0(X0,X1)
| ~ sP1(X0,X1) )
& ( ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& sP0(X0,X1)
& sP1(X0,X1) )
| ~ order(X1,X0) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( order(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ~ sP0(X0,X1)
| ~ sP1(X0,X1) )
& ( ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& sP0(X0,X1)
& sP1(X0,X1) )
| ~ order(X1,X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( order(X1,X0)
<=> ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& sP0(X0,X1)
& sP1(X0,X1) ) ),
inference(definition_folding,[],[f30,f33,f32]) ).
fof(f32,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X4,X5,X3] :
( ~ member(X5,X0)
| ~ member(X4,X0)
| ~ apply(X1,X3,X5)
| ~ apply(X1,X5,X4)
| ~ member(X3,X0)
| apply(X1,X3,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f33,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ! [X6,X7] :
( ~ member(X7,X0)
| X6 = X7
| ~ member(X6,X0)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X7,X6) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f30,plain,
! [X0,X1] :
( order(X1,X0)
<=> ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X4,X5,X3] :
( ~ member(X5,X0)
| ~ member(X4,X0)
| ~ apply(X1,X3,X5)
| ~ apply(X1,X5,X4)
| ~ member(X3,X0)
| apply(X1,X3,X4) )
& ! [X6,X7] :
( ~ member(X7,X0)
| X6 = X7
| ~ member(X6,X0)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X7,X6) ) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( order(X1,X0)
<=> ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X4,X5,X3] :
( apply(X1,X3,X4)
| ~ apply(X1,X3,X5)
| ~ apply(X1,X5,X4)
| ~ member(X5,X0)
| ~ member(X3,X0)
| ~ member(X4,X0) )
& ! [X6,X7] :
( X6 = X7
| ~ apply(X1,X7,X6)
| ~ apply(X1,X6,X7)
| ~ member(X6,X0)
| ~ member(X7,X0) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( order(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X4,X5,X3] :
( ( member(X5,X0)
& member(X3,X0)
& member(X4,X0) )
=> ( ( apply(X1,X3,X5)
& apply(X1,X5,X4) )
=> apply(X1,X3,X4) ) )
& ! [X6,X7] :
( ( member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X7,X6)
& apply(X1,X6,X7) )
=> X6 = X7 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3,X5] :
( order(X5,X3)
<=> ( ! [X2] :
( member(X2,X3)
=> apply(X5,X2,X2) )
& ! [X2,X6,X4] :
( ( member(X4,X3)
& member(X2,X3)
& member(X6,X3) )
=> ( ( apply(X5,X2,X4)
& apply(X5,X4,X6) )
=> apply(X5,X2,X6) ) )
& ! [X2,X4] :
( ( member(X4,X3)
& member(X2,X3) )
=> ( ( apply(X5,X2,X4)
& apply(X5,X4,X2) )
=> X2 = X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f264,plain,
( member(sK10(sK4,sK3),sK2)
| ~ spl11_3 ),
inference(unit_resulting_resolution,[],[f87,f94]) ).
fof(f94,plain,
! [X0] :
( member(X0,sK2)
| ~ member(X0,sK4) ),
inference(resolution,[],[f53,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( subset(X1,X0)
=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(unused_predicate_definition_removal,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f53,plain,
subset(sK4,sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( order(sK3,sK2)
& subset(sK4,sK2)
& ~ order(sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f31,f36,f35]) ).
fof(f35,plain,
( ? [X0,X1] :
( order(X1,X0)
& ? [X2] :
( subset(X2,X0)
& ~ order(X1,X2) ) )
=> ( order(sK3,sK2)
& ? [X2] :
( subset(X2,sK2)
& ~ order(sK3,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ? [X2] :
( subset(X2,sK2)
& ~ order(sK3,X2) )
=> ( subset(sK4,sK2)
& ~ order(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1] :
( order(X1,X0)
& ? [X2] :
( subset(X2,X0)
& ~ order(X1,X2) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
~ ! [X1,X0] :
( order(X1,X0)
=> ! [X2] :
( subset(X2,X0)
=> order(X1,X2) ) ),
inference(rectify,[],[f23]) ).
fof(f23,negated_conjecture,
~ ! [X3,X5] :
( order(X5,X3)
=> ! [X2] :
( subset(X2,X3)
=> order(X5,X2) ) ),
inference(negated_conjecture,[],[f22]) ).
fof(f22,conjecture,
! [X3,X5] :
( order(X5,X3)
=> ! [X2] :
( subset(X2,X3)
=> order(X5,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV17) ).
fof(f87,plain,
( member(sK10(sK4,sK3),sK4)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl11_3
<=> member(sK10(sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f54,plain,
order(sK3,sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f256,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| spl11_2 ),
inference(subsumption_resolution,[],[f247,f203]) ).
fof(f203,plain,
( apply(sK3,sK6(sK4,sK3),sK5(sK4,sK3))
| spl11_2 ),
inference(unit_resulting_resolution,[],[f83,f57]) ).
fof(f57,plain,
! [X0,X1] :
( apply(X1,sK6(X0,X1),sK5(X0,X1))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( member(sK6(X0,X1),X0)
& sK6(X0,X1) != sK5(X0,X1)
& member(sK5(X0,X1),X0)
& apply(X1,sK5(X0,X1),sK6(X0,X1))
& apply(X1,sK6(X0,X1),sK5(X0,X1)) ) )
& ( ! [X4,X5] :
( ~ member(X5,X0)
| X4 = X5
| ~ member(X4,X0)
| ~ apply(X1,X4,X5)
| ~ apply(X1,X5,X4) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f40,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2,X3] :
( member(X3,X0)
& X2 != X3
& member(X2,X0)
& apply(X1,X2,X3)
& apply(X1,X3,X2) )
=> ( member(sK6(X0,X1),X0)
& sK6(X0,X1) != sK5(X0,X1)
& member(sK5(X0,X1),X0)
& apply(X1,sK5(X0,X1),sK6(X0,X1))
& apply(X1,sK6(X0,X1),sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2,X3] :
( member(X3,X0)
& X2 != X3
& member(X2,X0)
& apply(X1,X2,X3)
& apply(X1,X3,X2) ) )
& ( ! [X4,X5] :
( ~ member(X5,X0)
| X4 = X5
| ~ member(X4,X0)
| ~ apply(X1,X4,X5)
| ~ apply(X1,X5,X4) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X6,X7] :
( member(X7,X0)
& X6 != X7
& member(X6,X0)
& apply(X1,X6,X7)
& apply(X1,X7,X6) ) )
& ( ! [X6,X7] :
( ~ member(X7,X0)
| X6 = X7
| ~ member(X6,X0)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X7,X6) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f83,plain,
( ~ sP1(sK4,sK3)
| spl11_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl11_2
<=> sP1(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f247,plain,
( ~ apply(sK3,sK6(sK4,sK3),sK5(sK4,sK3))
| spl11_2 ),
inference(unit_resulting_resolution,[],[f96,f212,f220,f204,f199,f56]) ).
fof(f56,plain,
! [X0,X1,X4,X5] :
( ~ sP1(X0,X1)
| ~ apply(X1,X4,X5)
| ~ member(X4,X0)
| ~ member(X5,X0)
| X4 = X5
| ~ apply(X1,X5,X4) ),
inference(cnf_transformation,[],[f42]) ).
fof(f199,plain,
( apply(sK3,sK5(sK4,sK3),sK6(sK4,sK3))
| spl11_2 ),
inference(unit_resulting_resolution,[],[f83,f58]) ).
fof(f58,plain,
! [X0,X1] :
( apply(X1,sK5(X0,X1),sK6(X0,X1))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f204,plain,
( sK6(sK4,sK3) != sK5(sK4,sK3)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f83,f60]) ).
fof(f60,plain,
! [X0,X1] :
( sP1(X0,X1)
| sK6(X0,X1) != sK5(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f220,plain,
( member(sK5(sK4,sK3),sK2)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f201,f94]) ).
fof(f201,plain,
( member(sK5(sK4,sK3),sK4)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f83,f59]) ).
fof(f59,plain,
! [X0,X1] :
( sP1(X0,X1)
| member(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f212,plain,
( member(sK6(sK4,sK3),sK2)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f53,f200,f55]) ).
fof(f200,plain,
( member(sK6(sK4,sK3),sK4)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f83,f61]) ).
fof(f61,plain,
! [X0,X1] :
( sP1(X0,X1)
| member(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f96,plain,
sP1(sK2,sK3),
inference(unit_resulting_resolution,[],[f54,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ order(X1,X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f195,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| spl11_1 ),
inference(subsumption_resolution,[],[f189,f103]) ).
fof(f103,plain,
( apply(sK3,sK9(sK4,sK3),sK8(sK4,sK3))
| spl11_1 ),
inference(unit_resulting_resolution,[],[f79,f66]) ).
fof(f66,plain,
! [X0,X1] :
( apply(X1,sK9(X0,X1),sK8(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( member(sK8(X0,X1),X0)
& member(sK7(X0,X1),X0)
& apply(X1,sK9(X0,X1),sK8(X0,X1))
& apply(X1,sK8(X0,X1),sK7(X0,X1))
& member(sK9(X0,X1),X0)
& ~ apply(X1,sK9(X0,X1),sK7(X0,X1)) ) )
& ( ! [X5,X6,X7] :
( ~ member(X6,X0)
| ~ member(X5,X0)
| ~ apply(X1,X7,X6)
| ~ apply(X1,X6,X5)
| ~ member(X7,X0)
| apply(X1,X7,X5) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f44,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( member(X3,X0)
& member(X2,X0)
& apply(X1,X4,X3)
& apply(X1,X3,X2)
& member(X4,X0)
& ~ apply(X1,X4,X2) )
=> ( member(sK8(X0,X1),X0)
& member(sK7(X0,X1),X0)
& apply(X1,sK9(X0,X1),sK8(X0,X1))
& apply(X1,sK8(X0,X1),sK7(X0,X1))
& member(sK9(X0,X1),X0)
& ~ apply(X1,sK9(X0,X1),sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3,X4] :
( member(X3,X0)
& member(X2,X0)
& apply(X1,X4,X3)
& apply(X1,X3,X2)
& member(X4,X0)
& ~ apply(X1,X4,X2) ) )
& ( ! [X5,X6,X7] :
( ~ member(X6,X0)
| ~ member(X5,X0)
| ~ apply(X1,X7,X6)
| ~ apply(X1,X6,X5)
| ~ member(X7,X0)
| apply(X1,X7,X5) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X4,X5,X3] :
( member(X5,X0)
& member(X4,X0)
& apply(X1,X3,X5)
& apply(X1,X5,X4)
& member(X3,X0)
& ~ apply(X1,X3,X4) ) )
& ( ! [X4,X5,X3] :
( ~ member(X5,X0)
| ~ member(X4,X0)
| ~ apply(X1,X3,X5)
| ~ apply(X1,X5,X4)
| ~ member(X3,X0)
| apply(X1,X3,X4) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f79,plain,
( ~ sP0(sK4,sK3)
| spl11_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl11_1
<=> sP0(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f189,plain,
( ~ apply(sK3,sK9(sK4,sK3),sK8(sK4,sK3))
| spl11_1 ),
inference(unit_resulting_resolution,[],[f97,f143,f152,f135,f100,f102,f62]) ).
fof(f62,plain,
! [X0,X1,X6,X7,X5] :
( ~ member(X7,X0)
| ~ member(X6,X0)
| ~ member(X5,X0)
| ~ apply(X1,X6,X5)
| ~ sP0(X0,X1)
| apply(X1,X7,X5)
| ~ apply(X1,X7,X6) ),
inference(cnf_transformation,[],[f46]) ).
fof(f102,plain,
( apply(sK3,sK8(sK4,sK3),sK7(sK4,sK3))
| spl11_1 ),
inference(unit_resulting_resolution,[],[f79,f65]) ).
fof(f65,plain,
! [X0,X1] :
( apply(X1,sK8(X0,X1),sK7(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f100,plain,
( ~ apply(sK3,sK9(sK4,sK3),sK7(sK4,sK3))
| spl11_1 ),
inference(unit_resulting_resolution,[],[f79,f63]) ).
fof(f63,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ apply(X1,sK9(X0,X1),sK7(X0,X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f135,plain,
( member(sK9(sK4,sK3),sK2)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f53,f101,f55]) ).
fof(f101,plain,
( member(sK9(sK4,sK3),sK4)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f79,f64]) ).
fof(f64,plain,
! [X0,X1] :
( member(sK9(X0,X1),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f152,plain,
( member(sK8(sK4,sK3),sK2)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f105,f94]) ).
fof(f105,plain,
( member(sK8(sK4,sK3),sK4)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f79,f68]) ).
fof(f68,plain,
! [X0,X1] :
( member(sK8(X0,X1),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f143,plain,
( member(sK7(sK4,sK3),sK2)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f104,f94]) ).
fof(f104,plain,
( member(sK7(sK4,sK3),sK4)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f79,f67]) ).
fof(f67,plain,
! [X0,X1] :
( member(sK7(X0,X1),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f97,plain,
sP0(sK2,sK3),
inference(resolution,[],[f54,f70]) ).
fof(f70,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ order(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f93,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_1 ),
inference(avatar_split_clause,[],[f74,f77,f90,f81]) ).
fof(f74,plain,
( ~ sP0(sK4,sK3)
| ~ apply(sK3,sK10(sK4,sK3),sK10(sK4,sK3))
| ~ sP1(sK4,sK3) ),
inference(resolution,[],[f52,f73]) ).
fof(f73,plain,
! [X0,X1] :
( order(X1,X0)
| ~ sP1(X0,X1)
| ~ sP0(X0,X1)
| ~ apply(X1,sK10(X0,X1),sK10(X0,X1)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f52,plain,
~ order(sK3,sK4),
inference(cnf_transformation,[],[f37]) ).
fof(f88,plain,
( ~ spl11_1
| ~ spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f75,f85,f81,f77]) ).
fof(f75,plain,
( member(sK10(sK4,sK3),sK4)
| ~ sP1(sK4,sK3)
| ~ sP0(sK4,sK3) ),
inference(resolution,[],[f52,f72]) ).
fof(f72,plain,
! [X0,X1] :
( member(sK10(X0,X1),X0)
| ~ sP0(X0,X1)
| ~ sP1(X0,X1)
| order(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET805+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:42:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (15023)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)
% 0.19/0.50 % (15023)Refutation not found, incomplete strategy% (15023)------------------------------
% 0.19/0.50 % (15023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (15046)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)
% 0.19/0.51 % (15037)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)
% 0.19/0.51 % (15023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (15023)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (15023)Memory used [KB]: 6012
% 0.19/0.51 % (15023)Time elapsed: 0.090 s
% 0.19/0.51 % (15023)Instructions burned: 2 (million)
% 0.19/0.51 % (15023)------------------------------
% 0.19/0.51 % (15023)------------------------------
% 0.19/0.51 % (15038)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)
% 0.19/0.51 % (15046)Refutation not found, incomplete strategy% (15046)------------------------------
% 0.19/0.51 % (15046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (15030)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)
% 0.19/0.51 % (15046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (15046)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (15046)Memory used [KB]: 1535
% 0.19/0.51 % (15046)Time elapsed: 0.059 s
% 0.19/0.51 % (15046)Instructions burned: 3 (million)
% 0.19/0.51 % (15046)------------------------------
% 0.19/0.51 % (15046)------------------------------
% 0.19/0.51 % (15037)Instruction limit reached!
% 0.19/0.51 % (15037)------------------------------
% 0.19/0.51 % (15037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (15045)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)
% 0.19/0.52 % (15038)Instruction limit reached!
% 0.19/0.52 % (15038)------------------------------
% 0.19/0.52 % (15038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (15038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (15038)Termination reason: Unknown
% 0.19/0.52 % (15038)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (15038)Memory used [KB]: 6140
% 0.19/0.52 % (15038)Time elapsed: 0.062 s
% 0.19/0.52 % (15038)Instructions burned: 8 (million)
% 0.19/0.52 % (15038)------------------------------
% 0.19/0.52 % (15038)------------------------------
% 0.19/0.52 % (15030)First to succeed.
% 0.19/0.52 % (15030)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (15030)------------------------------
% 0.19/0.52 % (15030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (15030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (15030)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (15030)Memory used [KB]: 6140
% 0.19/0.52 % (15030)Time elapsed: 0.067 s
% 0.19/0.52 % (15030)Instructions burned: 7 (million)
% 0.19/0.52 % (15030)------------------------------
% 0.19/0.52 % (15030)------------------------------
% 0.19/0.52 % (15018)Success in time 0.168 s
%------------------------------------------------------------------------------