TSTP Solution File: PRO011+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PRO011+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n024.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 18:10:12 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 82 ( 15 unt; 0 def)
% Number of atoms : 350 ( 11 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 356 ( 88 ~; 88 |; 147 &)
% ( 11 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 5 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 178 ( 117 !; 61 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f555,plain,
$false,
inference(avatar_sat_refutation,[],[f272,f288,f501,f536,f554]) ).
fof(f554,plain,
~ spl20_12,
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl20_12 ),
inference(unit_resulting_resolution,[],[f460,f287,f232]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| ~ leaf(X1,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ( ( ! [X2] : ~ min_precedes(X1,X2,X0)
& ( min_precedes(sK16(X0,X1),X1,X0)
| root(X1,X0) ) )
| ~ leaf(X1,X0) )
& ( leaf(X1,X0)
| min_precedes(X1,sK17(X0,X1),X0)
| ( ! [X5] : ~ min_precedes(X5,X1,X0)
& ~ root(X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f150,f152,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ? [X3] : min_precedes(X3,X1,X0)
=> min_precedes(sK16(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0,X1] :
( ? [X4] : min_precedes(X1,X4,X0)
=> min_precedes(X1,sK17(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0,X1] :
( ( ( ! [X2] : ~ min_precedes(X1,X2,X0)
& ( ? [X3] : min_precedes(X3,X1,X0)
| root(X1,X0) ) )
| ~ leaf(X1,X0) )
& ( leaf(X1,X0)
| ? [X4] : min_precedes(X1,X4,X0)
| ( ! [X5] : ~ min_precedes(X5,X1,X0)
& ~ root(X1,X0) ) ) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( ( ! [X3] : ~ min_precedes(X1,X3,X0)
& ( ? [X2] : min_precedes(X2,X1,X0)
| root(X1,X0) ) )
| ~ leaf(X1,X0) )
& ( leaf(X1,X0)
| ? [X3] : min_precedes(X1,X3,X0)
| ( ! [X2] : ~ min_precedes(X2,X1,X0)
& ~ root(X1,X0) ) ) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( ( ! [X3] : ~ min_precedes(X1,X3,X0)
& ( ? [X2] : min_precedes(X2,X1,X0)
| root(X1,X0) ) )
| ~ leaf(X1,X0) )
& ( leaf(X1,X0)
| ? [X3] : min_precedes(X1,X3,X0)
| ( ! [X2] : ~ min_precedes(X2,X1,X0)
& ~ root(X1,X0) ) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( ! [X3] : ~ min_precedes(X1,X3,X0)
& ( ? [X2] : min_precedes(X2,X1,X0)
| root(X1,X0) ) )
<=> leaf(X1,X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( ( ? [X2] : min_precedes(X2,X1,X0)
| root(X1,X0) )
& ~ ? [X3] : min_precedes(X1,X3,X0) )
<=> leaf(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X57,X56] :
( ( ( root(X56,X57)
| ? [X58] : min_precedes(X58,X56,X57) )
& ~ ? [X59] : min_precedes(X56,X59,X57) )
<=> leaf(X56,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f287,plain,
( ! [X2] : min_precedes(X2,sK4(X2),tptp0)
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl20_12
<=> ! [X2] : min_precedes(X2,sK4(X2),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f460,plain,
leaf(sK15(sK2),tptp0),
inference(backward_demodulation,[],[f371,f456]) ).
fof(f456,plain,
tptp0 = sK0(sK15(sK2),sK2),
inference(backward_demodulation,[],[f412,f402]) ).
fof(f402,plain,
tptp0 = sK9(sK2,sK14(sK2)),
inference(unit_resulting_resolution,[],[f373,f171,f168]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X2,X1,X0] :
( X0 = X2
| ~ occurrence_of(X1,X0)
| ~ occurrence_of(X1,X2) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( occurrence_of(X1,X2)
& occurrence_of(X1,X0) )
=> X0 = X2 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X6,X4,X5] :
( ( occurrence_of(X4,X6)
& occurrence_of(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f171,plain,
occurrence_of(sK2,tptp0),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ! [X1,X2] :
( ( occurrence_of(sK3(X2),tptp1)
& min_precedes(X2,sK3(X2),tptp0)
& subactivity_occurrence(sK3(X2),sK2)
& occurrence_of(X1,tptp2) )
| ( min_precedes(X2,sK4(X2),tptp0)
& occurrence_of(sK4(X2),tptp2)
& subactivity_occurrence(sK4(X2),sK2)
& occurrence_of(X1,tptp1) )
| ~ leaf_occ(X1,sK2) )
& occurrence_of(sK2,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f119,f122,f121,f120]) ).
fof(f120,plain,
( ? [X0] :
( ! [X1,X2] :
( ( ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X2,X3,tptp0)
& subactivity_occurrence(X3,X0) )
& occurrence_of(X1,tptp2) )
| ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp2)
& subactivity_occurrence(X4,X0) )
& occurrence_of(X1,tptp1) )
| ~ leaf_occ(X1,X0) )
& occurrence_of(X0,tptp0) )
=> ( ! [X2,X1] :
( ( ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X2,X3,tptp0)
& subactivity_occurrence(X3,sK2) )
& occurrence_of(X1,tptp2) )
| ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp2)
& subactivity_occurrence(X4,sK2) )
& occurrence_of(X1,tptp1) )
| ~ leaf_occ(X1,sK2) )
& occurrence_of(sK2,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X2] :
( ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X2,X3,tptp0)
& subactivity_occurrence(X3,sK2) )
=> ( occurrence_of(sK3(X2),tptp1)
& min_precedes(X2,sK3(X2),tptp0)
& subactivity_occurrence(sK3(X2),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X2] :
( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp2)
& subactivity_occurrence(X4,sK2) )
=> ( min_precedes(X2,sK4(X2),tptp0)
& occurrence_of(sK4(X2),tptp2)
& subactivity_occurrence(sK4(X2),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
? [X0] :
( ! [X1,X2] :
( ( ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X2,X3,tptp0)
& subactivity_occurrence(X3,X0) )
& occurrence_of(X1,tptp2) )
| ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp2)
& subactivity_occurrence(X4,X0) )
& occurrence_of(X1,tptp1) )
| ~ leaf_occ(X1,X0) )
& occurrence_of(X0,tptp0) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
? [X0] :
( ! [X2,X1] :
( ( ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,X0) )
& occurrence_of(X2,tptp2) )
| ( ? [X4] :
( min_precedes(X1,X4,tptp0)
& occurrence_of(X4,tptp2)
& subactivity_occurrence(X4,X0) )
& occurrence_of(X2,tptp1) )
| ~ leaf_occ(X2,X0) )
& occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
=> ~ ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,X0) ) )
& ( occurrence_of(X2,tptp1)
=> ~ ? [X4] :
( min_precedes(X1,X4,tptp0)
& occurrence_of(X4,tptp2)
& subactivity_occurrence(X4,X0) ) ) ) ),
inference(rectify,[],[f50]) ).
fof(f50,negated_conjecture,
~ ! [X109] :
( occurrence_of(X109,tptp0)
=> ? [X110,X111] :
( ( occurrence_of(X111,tptp2)
=> ~ ? [X113] :
( min_precedes(X110,X113,tptp0)
& occurrence_of(X113,tptp1)
& subactivity_occurrence(X113,X109) ) )
& ( occurrence_of(X111,tptp1)
=> ~ ? [X112] :
( subactivity_occurrence(X112,X109)
& occurrence_of(X112,tptp2)
& min_precedes(X110,X112,tptp0) ) )
& leaf_occ(X111,X109) ) ),
inference(negated_conjecture,[],[f49]) ).
fof(f49,conjecture,
! [X109] :
( occurrence_of(X109,tptp0)
=> ? [X110,X111] :
( ( occurrence_of(X111,tptp2)
=> ~ ? [X113] :
( min_precedes(X110,X113,tptp0)
& occurrence_of(X113,tptp1)
& subactivity_occurrence(X113,X109) ) )
& ( occurrence_of(X111,tptp1)
=> ~ ? [X112] :
( subactivity_occurrence(X112,X109)
& occurrence_of(X112,tptp2)
& min_precedes(X110,X112,tptp0) ) )
& leaf_occ(X111,X109) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f373,plain,
occurrence_of(sK2,sK9(sK2,sK14(sK2))),
inference(unit_resulting_resolution,[],[f325,f201]) ).
fof(f201,plain,
! [X0,X1] :
( occurrence_of(X0,sK9(X0,X1))
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( root(X1,sK9(X0,X1))
& subactivity_occurrence(X1,X0)
& occurrence_of(X0,sK9(X0,X1)) )
| ~ root_occ(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f134,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ? [X2] :
( root(X1,X2)
& subactivity_occurrence(X1,X0)
& occurrence_of(X0,X2) )
=> ( root(X1,sK9(X0,X1))
& subactivity_occurrence(X1,X0)
& occurrence_of(X0,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X2] :
( root(X1,X2)
& subactivity_occurrence(X1,X0)
& occurrence_of(X0,X2) )
| ~ root_occ(X1,X0) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X1,X0] :
( ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ root_occ(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( root_occ(X0,X1)
=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(unused_predicate_definition_removal,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X99,X100] :
( root_occ(X99,X100)
<=> ? [X101] :
( subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101)
& root(X99,X101) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
fof(f325,plain,
root_occ(sK14(sK2),sK2),
inference(unit_resulting_resolution,[],[f171,f218]) ).
fof(f218,plain,
! [X0] :
( root_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( ( occurrence_of(sK15(X0),tptp2)
| occurrence_of(sK15(X0),tptp1) )
& next_subocc(sK14(X0),sK13(X0),tptp0)
& occurrence_of(sK14(X0),tptp3)
& next_subocc(sK13(X0),sK15(X0),tptp0)
& occurrence_of(sK13(X0),tptp4)
& leaf_occ(sK15(X0),X0)
& root_occ(sK14(X0),X0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f89,f145]) ).
fof(f145,plain,
! [X0] :
( ? [X1,X2,X3] :
( ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& next_subocc(X2,X1,tptp0)
& occurrence_of(X2,tptp3)
& next_subocc(X1,X3,tptp0)
& occurrence_of(X1,tptp4)
& leaf_occ(X3,X0)
& root_occ(X2,X0) )
=> ( ( occurrence_of(sK15(X0),tptp2)
| occurrence_of(sK15(X0),tptp1) )
& next_subocc(sK14(X0),sK13(X0),tptp0)
& occurrence_of(sK14(X0),tptp3)
& next_subocc(sK13(X0),sK15(X0),tptp0)
& occurrence_of(sK13(X0),tptp4)
& leaf_occ(sK15(X0),X0)
& root_occ(sK14(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ? [X1,X2,X3] :
( ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& next_subocc(X2,X1,tptp0)
& occurrence_of(X2,tptp3)
& next_subocc(X1,X3,tptp0)
& occurrence_of(X1,tptp4)
& leaf_occ(X3,X0)
& root_occ(X2,X0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& next_subocc(X2,X1,tptp0)
& occurrence_of(X2,tptp3)
& next_subocc(X1,X3,tptp0)
& occurrence_of(X1,tptp4)
& leaf_occ(X3,X0)
& root_occ(X2,X0) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X107,X106,X108] :
( ( occurrence_of(X108,tptp2)
| occurrence_of(X108,tptp1) )
& occurrence_of(X106,tptp3)
& next_subocc(X107,X108,tptp0)
& root_occ(X106,X105)
& next_subocc(X106,X107,tptp0)
& occurrence_of(X107,tptp4)
& leaf_occ(X108,X105) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f412,plain,
sK0(sK15(sK2),sK2) = sK9(sK2,sK14(sK2)),
inference(unit_resulting_resolution,[],[f367,f373,f168]) ).
fof(f367,plain,
occurrence_of(sK2,sK0(sK15(sK2),sK2)),
inference(unit_resulting_resolution,[],[f327,f163]) ).
fof(f163,plain,
! [X0,X1] :
( occurrence_of(X1,sK0(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2)
| ~ occurrence_of(X1,X2) ) )
& ( ( subactivity_occurrence(X0,X1)
& leaf(X0,sK0(X0,X1))
& occurrence_of(X1,sK0(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f112,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ? [X3] :
( subactivity_occurrence(X0,X1)
& leaf(X0,X3)
& occurrence_of(X1,X3) )
=> ( subactivity_occurrence(X0,X1)
& leaf(X0,sK0(X0,X1))
& occurrence_of(X1,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X3] :
( subactivity_occurrence(X0,X1)
& leaf(X0,X3)
& occurrence_of(X1,X3) )
| ~ leaf_occ(X0,X1) ) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X2] :
( subactivity_occurrence(X0,X1)
& leaf(X0,X2)
& occurrence_of(X1,X2) )
| ~ leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( subactivity_occurrence(X0,X1)
& leaf(X0,X2)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(f327,plain,
leaf_occ(sK15(sK2),sK2),
inference(unit_resulting_resolution,[],[f171,f219]) ).
fof(f219,plain,
! [X0] :
( leaf_occ(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f371,plain,
leaf(sK15(sK2),sK0(sK15(sK2),sK2)),
inference(unit_resulting_resolution,[],[f327,f164]) ).
fof(f164,plain,
! [X0,X1] :
( leaf(X0,sK0(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f536,plain,
~ spl20_7,
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f533,plain,
( $false
| ~ spl20_7 ),
inference(unit_resulting_resolution,[],[f460,f268,f232]) ).
fof(f268,plain,
( ! [X2] : min_precedes(X2,sK3(X2),tptp0)
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl20_7
<=> ! [X2] : min_precedes(X2,sK3(X2),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f501,plain,
( ~ spl20_5
| ~ spl20_8 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| ~ spl20_5
| ~ spl20_8 ),
inference(subsumption_resolution,[],[f431,f343]) ).
fof(f343,plain,
( occurrence_of(sK15(sK2),tptp1)
| ~ spl20_8 ),
inference(unit_resulting_resolution,[],[f327,f271]) ).
fof(f271,plain,
( ! [X1] :
( ~ leaf_occ(X1,sK2)
| occurrence_of(X1,tptp1) )
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl20_8
<=> ! [X1] :
( occurrence_of(X1,tptp1)
| ~ leaf_occ(X1,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f431,plain,
( ~ occurrence_of(sK15(sK2),tptp1)
| ~ spl20_5 ),
inference(unit_resulting_resolution,[],[f234,f335,f168]) ).
fof(f335,plain,
( occurrence_of(sK15(sK2),tptp2)
| ~ spl20_5 ),
inference(unit_resulting_resolution,[],[f327,f260]) ).
fof(f260,plain,
( ! [X1] :
( ~ leaf_occ(X1,sK2)
| occurrence_of(X1,tptp2) )
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl20_5
<=> ! [X1] :
( occurrence_of(X1,tptp2)
| ~ leaf_occ(X1,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f234,plain,
tptp1 != tptp2,
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(f288,plain,
( spl20_5
| spl20_12 ),
inference(avatar_split_clause,[],[f175,f286,f259]) ).
fof(f175,plain,
! [X2,X1] :
( min_precedes(X2,sK4(X2),tptp0)
| ~ leaf_occ(X1,sK2)
| occurrence_of(X1,tptp2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f272,plain,
( spl20_7
| spl20_8 ),
inference(avatar_split_clause,[],[f180,f270,f267]) ).
fof(f180,plain,
! [X2,X1] :
( occurrence_of(X1,tptp1)
| min_precedes(X2,sK3(X2),tptp0)
| ~ leaf_occ(X1,sK2) ),
inference(cnf_transformation,[],[f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PRO011+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 10:29:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (28465)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)
% 0.20/0.51 % (28468)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)
% 0.20/0.51 % (28455)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (28464)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)
% 0.20/0.52 % (28476)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)
% 0.20/0.52 % (28462)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)
% 0.20/0.52 % (28458)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)
% 0.20/0.53 % (28458)Refutation not found, incomplete strategy% (28458)------------------------------
% 0.20/0.53 % (28458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28477)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)
% 0.20/0.53 % (28458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28458)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (28458)Memory used [KB]: 6012
% 0.20/0.53 % (28458)Time elapsed: 0.119 s
% 0.20/0.53 % (28458)Instructions burned: 2 (million)
% 0.20/0.53 % (28458)------------------------------
% 0.20/0.53 % (28458)------------------------------
% 0.20/0.53 % (28473)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)
% 0.20/0.53 % (28473)Instruction limit reached!
% 0.20/0.53 % (28473)------------------------------
% 0.20/0.53 % (28473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28473)Termination reason: Unknown
% 0.20/0.53 % (28473)Termination phase: SInE selection
% 0.20/0.53
% 0.20/0.53 % (28473)Memory used [KB]: 1407
% 0.20/0.53 % (28473)Time elapsed: 0.002 s
% 0.20/0.53 % (28473)Instructions burned: 2 (million)
% 0.20/0.53 % (28473)------------------------------
% 0.20/0.53 % (28473)------------------------------
% 0.20/0.53 % (28456)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)
% 0.20/0.53 % (28468)First to succeed.
% 0.20/0.53 % (28461)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)
% 0.20/0.53 % (28459)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)
% 0.20/0.53 % (28471)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)
% 0.20/0.53 % (28457)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)
% 0.20/0.53 % (28460)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)
% 0.20/0.53 % (28457)Instruction limit reached!
% 0.20/0.53 % (28457)------------------------------
% 0.20/0.53 % (28457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28457)Termination reason: Unknown
% 0.20/0.53 % (28457)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (28457)Memory used [KB]: 1535
% 0.20/0.53 % (28457)Time elapsed: 0.002 s
% 0.20/0.53 % (28457)Instructions burned: 3 (million)
% 0.20/0.53 % (28457)------------------------------
% 0.20/0.53 % (28457)------------------------------
% 0.20/0.54 % (28468)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (28468)------------------------------
% 0.20/0.54 % (28468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (28468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (28468)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (28468)Memory used [KB]: 6396
% 0.20/0.54 % (28468)Time elapsed: 0.132 s
% 0.20/0.54 % (28468)Instructions burned: 13 (million)
% 0.20/0.54 % (28468)------------------------------
% 0.20/0.54 % (28468)------------------------------
% 0.20/0.54 % (28454)Success in time 0.178 s
%------------------------------------------------------------------------------