TSTP Solution File: PRO012+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO012+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Sun May 5 08:47:37 EDT 2024
% Result : Theorem 0.17s 0.54s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 103 ( 33 unt; 0 def)
% Number of atoms : 368 ( 33 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 377 ( 112 ~; 118 |; 122 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 227 ( 182 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11078,plain,
$false,
inference(subsumption_resolution,[],[f11075,f11038]) ).
fof(f11038,plain,
~ occurrence_of(sK8(sK4),tptp2),
inference(unit_resulting_resolution,[],[f399,f421,f10855,f251]) ).
fof(f251,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp2)
| ~ root_occ(X1,sK4)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK4)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(sK4,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f116,f199]) ).
fof(f199,plain,
( ? [X0] :
( ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,X0)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(X0,tptp0) )
=> ( ! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,sK4)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(sK4,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0] :
( ! [X1,X2] :
( ~ min_precedes(X1,X2,tptp0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ root_occ(X1,X0)
| ~ occurrence_of(X1,tptp3) )
& occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( min_precedes(X1,X2,tptp0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(rectify,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( min_precedes(X167,X168,tptp0)
& ( occurrence_of(X168,tptp1)
| occurrence_of(X168,tptp2) )
& root_occ(X167,X166)
& occurrence_of(X167,tptp3) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( min_precedes(X167,X168,tptp0)
& ( occurrence_of(X168,tptp1)
| occurrence_of(X168,tptp2) )
& root_occ(X167,X166)
& occurrence_of(X167,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f10855,plain,
min_precedes(sK6(sK4),sK8(sK4),tptp0),
inference(superposition,[],[f1921,f10766]) ).
fof(f10766,plain,
sK6(sK4) = sK18(sK8(sK4),tptp0),
inference(forward_demodulation,[],[f10758,f10417]) ).
fof(f10417,plain,
sK6(sK4) = sK18(sK7(sK4),tptp0),
inference(unit_resulting_resolution,[],[f2228,f10068,f10244,f364]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ root_occ(X1,X2)
| X0 = X1
| ~ root_occ(X0,X2)
| ~ sP27(X2) ),
inference(general_splitting,[],[f344,f363_D]) ).
fof(f363,plain,
! [X2,X3] :
( ~ occurrence_of(X2,X3)
| sP27(X2) ),
inference(cnf_transformation,[],[f363_D]) ).
fof(f363_D,plain,
! [X2] :
( ! [X3] : ~ occurrence_of(X2,X3)
<=> ~ sP27(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X105,X106,X107,X108] :
( ( root_occ(X106,X107)
& root_occ(X105,X107)
& occurrence_of(X107,X108) )
=> X105 = X106 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f10244,plain,
root_occ(sK18(sK7(sK4),tptp0),sK19(sK8(sK4),sK7(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f633,f2117,f10052,f311]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( root(X0,sK16(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK16(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f229,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( root(X0,sK16(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
| ~ root_occ(X0,X1) ) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( 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] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
fof(f10052,plain,
subactivity_occurrence(sK18(sK7(sK4),tptp0),sK19(sK8(sK4),sK7(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2117,f2437,f1920,f351]) ).
fof(f351,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| subactivity_occurrence(X0,X3) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(f1920,plain,
min_precedes(sK18(sK7(sK4),tptp0),sK7(sK4),tptp0),
inference(unit_resulting_resolution,[],[f510,f323]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK18(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2] :
( ( min_precedes(sK18(X1,X2),X1,X2)
& root(sK18(X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f144,f236]) ).
fof(f236,plain,
! [X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
=> ( min_precedes(sK18(X1,X2),X1,X2)
& root(sK18(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X31,X32,X33] :
( min_precedes(X31,X32,X33)
=> ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f510,plain,
min_precedes(sK6(sK4),sK7(sK4),tptp0),
inference(unit_resulting_resolution,[],[f379,f272]) ).
fof(f272,plain,
! [X0] :
( ~ sP0(X0)
| min_precedes(sK6(X0),sK7(X0),tptp0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ( ! [X4] :
( sK8(X0) = X4
| sK7(X0) = X4
| ~ min_precedes(sK6(X0),X4,tptp0) )
& min_precedes(sK7(X0),sK8(X0),tptp0)
& ( occurrence_of(sK8(X0),tptp1)
| occurrence_of(sK8(X0),tptp2) )
& min_precedes(sK6(X0),sK7(X0),tptp0)
& occurrence_of(sK7(X0),tptp4)
& root_occ(sK6(X0),X0)
& occurrence_of(sK6(X0),tptp3) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f203,f204]) ).
fof(f204,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
=> ( ! [X4] :
( sK8(X0) = X4
| sK7(X0) = X4
| ~ min_precedes(sK6(X0),X4,tptp0) )
& min_precedes(sK7(X0),sK8(X0),tptp0)
& ( occurrence_of(sK8(X0),tptp1)
| occurrence_of(sK8(X0),tptp2) )
& min_precedes(sK6(X0),sK7(X0),tptp0)
& occurrence_of(sK7(X0),tptp4)
& root_occ(sK6(X0),X0)
& occurrence_of(sK6(X0),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f379,plain,
sP0(sK4),
inference(unit_resulting_resolution,[],[f250,f276]) ).
fof(f276,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f121,f191]) ).
fof(f121,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
| ~ occurrence_of(X0,tptp0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ min_precedes(X1,X4,tptp0) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( ! [X4] :
( min_precedes(X1,X4,tptp0)
=> ( X3 = X4
| X2 = X4 ) )
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& root_occ(X1,X0)
& occurrence_of(X1,tptp3) ) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163,X164] :
( ! [X165] :
( min_precedes(X162,X165,tptp0)
=> ( X164 = X165
| X163 = X165 ) )
& min_precedes(X163,X164,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& min_precedes(X162,X163,tptp0)
& occurrence_of(X163,tptp4)
& root_occ(X162,X161)
& occurrence_of(X162,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(f250,plain,
occurrence_of(sK4,tptp0),
inference(cnf_transformation,[],[f200]) ).
fof(f2437,plain,
subactivity_occurrence(sK7(sK4),sK19(sK8(sK4),sK7(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f626,f325]) ).
fof(f325,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X1,sK19(X0,X1,X2)) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X0,sK19(X0,X1,X2))
& subactivity_occurrence(X1,sK19(X0,X1,X2))
& occurrence_of(sK19(X0,X1,X2),X2) )
| ~ sP2(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f239,f240]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
=> ( subactivity_occurrence(X0,sK19(X0,X1,X2))
& subactivity_occurrence(X1,sK19(X0,X1,X2))
& occurrence_of(sK19(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f238]) ).
fof(f238,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
inference(nnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f626,plain,
sP2(sK8(sK4),sK7(sK4),tptp0),
inference(unit_resulting_resolution,[],[f549,f327]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2] :
( sP2(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f145,f195]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X69,X70,X71] :
( min_precedes(X70,X71,X69)
=> ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(f549,plain,
min_precedes(sK7(sK4),sK8(sK4),tptp0),
inference(unit_resulting_resolution,[],[f379,f274]) ).
fof(f274,plain,
! [X0] :
( ~ sP0(X0)
| min_precedes(sK7(X0),sK8(X0),tptp0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f2117,plain,
occurrence_of(sK19(sK8(sK4),sK7(sK4),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f626,f324]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| occurrence_of(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f241]) ).
fof(f633,plain,
root(sK18(sK7(sK4),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f510,f322]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK18(X1,X2),X2) ),
inference(cnf_transformation,[],[f237]) ).
fof(f10068,plain,
root_occ(sK6(sK4),sK19(sK8(sK4),sK7(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f774,f2117,f10047,f311]) ).
fof(f10047,plain,
subactivity_occurrence(sK6(sK4),sK19(sK8(sK4),sK7(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2117,f2437,f510,f351]) ).
fof(f774,plain,
root(sK6(sK4),tptp0),
inference(superposition,[],[f615,f711]) ).
fof(f711,plain,
tptp0 = sK16(sK6(sK4),sK4),
inference(unit_resulting_resolution,[],[f250,f596,f338]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X6)
& occurrence_of(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f596,plain,
occurrence_of(sK4,sK16(sK6(sK4),sK4)),
inference(unit_resulting_resolution,[],[f421,f308]) ).
fof(f308,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK16(X0,X1)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f615,plain,
root(sK6(sK4),sK16(sK6(sK4),sK4)),
inference(unit_resulting_resolution,[],[f421,f310]) ).
fof(f310,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK16(X0,X1)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f2228,plain,
sP27(sK19(sK8(sK4),sK7(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2117,f363]) ).
fof(f10758,plain,
sK18(sK7(sK4),tptp0) = sK18(sK8(sK4),tptp0),
inference(unit_resulting_resolution,[],[f2228,f10244,f10270,f364]) ).
fof(f10270,plain,
root_occ(sK18(sK8(sK4),tptp0),sK19(sK8(sK4),sK7(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f634,f2117,f10055,f311]) ).
fof(f10055,plain,
subactivity_occurrence(sK18(sK8(sK4),tptp0),sK19(sK8(sK4),sK7(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2117,f2646,f1921,f351]) ).
fof(f2646,plain,
subactivity_occurrence(sK8(sK4),sK19(sK8(sK4),sK7(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f626,f326]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X0,sK19(X0,X1,X2)) ),
inference(cnf_transformation,[],[f241]) ).
fof(f634,plain,
root(sK18(sK8(sK4),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f549,f322]) ).
fof(f1921,plain,
min_precedes(sK18(sK8(sK4),tptp0),sK8(sK4),tptp0),
inference(unit_resulting_resolution,[],[f549,f323]) ).
fof(f421,plain,
root_occ(sK6(sK4),sK4),
inference(unit_resulting_resolution,[],[f379,f270]) ).
fof(f270,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK6(X0),X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f399,plain,
occurrence_of(sK6(sK4),tptp3),
inference(unit_resulting_resolution,[],[f379,f269]) ).
fof(f269,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK6(X0),tptp3) ),
inference(cnf_transformation,[],[f205]) ).
fof(f11075,plain,
occurrence_of(sK8(sK4),tptp2),
inference(unit_resulting_resolution,[],[f379,f11037,f273]) ).
fof(f273,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK8(X0),tptp2)
| occurrence_of(sK8(X0),tptp1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f11037,plain,
~ occurrence_of(sK8(sK4),tptp1),
inference(unit_resulting_resolution,[],[f399,f421,f10855,f252]) ).
fof(f252,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK4)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : PRO012+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 20:36:38 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (18134)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (18137)WARNING: value z3 for option sas not known
% 0.11/0.35 % (18138)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (18135)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (18136)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (18139)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.35 % (18141)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.35 % (18140)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.35 % (18137)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 Detected minimum model sizes of [4]
% 0.11/0.35 Detected maximum model sizes of [max]
% 0.11/0.35 Detected minimum model sizes of [4]
% 0.11/0.35 Detected maximum model sizes of [max]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [4]
% 0.11/0.37 TRYING [5]
% 0.11/0.37 TRYING [5]
% 0.17/0.41 TRYING [6]
% 0.17/0.44 TRYING [6]
% 0.17/0.51 TRYING [7]
% 0.17/0.53 % (18141)First to succeed.
% 0.17/0.53 % (18141)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18134"
% 0.17/0.54 % (18141)Refutation found. Thanks to Tanya!
% 0.17/0.54 % SZS status Theorem for theBenchmark
% 0.17/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.54 % (18141)------------------------------
% 0.17/0.54 % (18141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.54 % (18141)Termination reason: Refutation
% 0.17/0.54
% 0.17/0.54 % (18141)Memory used [KB]: 4025
% 0.17/0.54 % (18141)Time elapsed: 0.188 s
% 0.17/0.54 % (18141)Instructions burned: 380 (million)
% 0.17/0.54 % (18134)Success in time 0.202 s
%------------------------------------------------------------------------------