TSTP Solution File: PRO006+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO006+2 : 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 : 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 : Sun May 5 08:47:32 EDT 2024
% Result : Theorem 3.66s 0.93s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 31
% Syntax : Number of formulae : 166 ( 60 unt; 0 def)
% Number of atoms : 528 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 551 ( 189 ~; 174 |; 148 &)
% ( 15 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 340 ( 284 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25486,plain,
$false,
inference(subsumption_resolution,[],[f25398,f5453]) ).
fof(f5453,plain,
~ occurrence_of(sK10(sK7(sK5)),tptp3),
inference(unit_resulting_resolution,[],[f202,f5408,f268]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X64,X65,X66] :
( ( occurrence_of(X64,X66)
& occurrence_of(X64,X65) )
=> X65 = X66 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f5408,plain,
occurrence_of(sK10(sK7(sK5)),tptp1),
inference(unit_resulting_resolution,[],[f385,f3217,f3179,f3180,f223]) ).
fof(f223,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| occurrence_of(sK10(X0),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ( next_subocc(X0,sK10(X0),tptp0)
& occurrence_of(sK10(X0),tptp1) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f96,f149]) ).
fof(f149,plain,
! [X0] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
=> ( next_subocc(X0,sK10(X0),tptp0)
& occurrence_of(sK10(X0),tptp1) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X98,X99] :
( ( ~ leaf_occ(X98,X99)
& arboreal(X98)
& subactivity_occurrence(X98,X99)
& occurrence_of(X99,tptp0) )
=> ? [X100] :
( next_subocc(X98,X100,tptp0)
& occurrence_of(X100,tptp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(f3180,plain,
occurrence_of(sK19(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f3137,f256]) ).
fof(f256,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| occurrence_of(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,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])],[f177,f178]) ).
fof(f178,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(f177,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,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(f3137,plain,
sP2(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0),
inference(unit_resulting_resolution,[],[f3112,f259]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2] :
( sP2(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f110,f133]) ).
fof(f110,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,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(f3112,plain,
min_precedes(sK7(sK5),sK14(tptp0,sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f491,f613,f234]) ).
fof(f234,plain,
! [X0,X1] :
( ~ root(X1,X0)
| min_precedes(X1,sK14(X0,X1),X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| min_precedes(X1,sK14(X0,X1),X0)
| ( ! [X3] : ~ min_precedes(X3,X1,X0)
& ~ root(X1,X0) ) )
& ( ( ! [X4] : ~ min_precedes(X1,X4,X0)
& ( min_precedes(sK15(X0,X1),X1,X0)
| root(X1,X0) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f159,f161,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ? [X2] : min_precedes(X1,X2,X0)
=> min_precedes(X1,sK14(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0,X1] :
( ? [X5] : min_precedes(X5,X1,X0)
=> min_precedes(sK15(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] : min_precedes(X1,X2,X0)
| ( ! [X3] : ~ min_precedes(X3,X1,X0)
& ~ root(X1,X0) ) )
& ( ( ! [X4] : ~ min_precedes(X1,X4,X0)
& ( ? [X5] : min_precedes(X5,X1,X0)
| root(X1,X0) ) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f158]) ).
fof(f158,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] : min_precedes(X0,X2,X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] : min_precedes(X0,X2,X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f613,plain,
root(sK7(sK5),tptp0),
inference(superposition,[],[f445,f545]) ).
fof(f545,plain,
tptp0 = sK16(sK7(sK5),sK5),
inference(unit_resulting_resolution,[],[f190,f427,f268]) ).
fof(f427,plain,
occurrence_of(sK5,sK16(sK7(sK5),sK5)),
inference(unit_resulting_resolution,[],[f331,f240]) ).
fof(f240,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK16(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,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])],[f165,f166]) ).
fof(f166,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(f165,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,[],[f164]) ).
fof(f164,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,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X32,X33] :
( root_occ(X32,X33)
<=> ? [X34] :
( root(X32,X34)
& subactivity_occurrence(X32,X33)
& occurrence_of(X33,X34) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f331,plain,
root_occ(sK7(sK5),sK5),
inference(unit_resulting_resolution,[],[f289,f208]) ).
fof(f208,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK7(X0),X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ( next_subocc(sK7(X0),sK8(X0),tptp0)
& leaf_occ(sK8(X0),X0)
& occurrence_of(sK8(X0),tptp3)
& root_occ(sK7(X0),X0)
& occurrence_of(sK7(X0),tptp4) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f143,f144]) ).
fof(f144,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
=> ( next_subocc(sK7(X0),sK8(X0),tptp0)
& leaf_occ(sK8(X0),X0)
& occurrence_of(sK8(X0),tptp3)
& root_occ(sK7(X0),X0)
& occurrence_of(sK7(X0),tptp4) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f289,plain,
sP0(sK5),
inference(unit_resulting_resolution,[],[f190,f212]) ).
fof(f212,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f88,f129]) ).
fof(f88,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X95] :
( occurrence_of(X95,tptp0)
=> ? [X96,X97] :
( next_subocc(X96,X97,tptp0)
& leaf_occ(X97,X95)
& occurrence_of(X97,tptp3)
& root_occ(X96,X95)
& occurrence_of(X96,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f190,plain,
occurrence_of(sK5,tptp0),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
occurrence_of(sK5,tptp0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f50,f139]) ).
fof(f139,plain,
( ? [X0] : occurrence_of(X0,tptp0)
=> occurrence_of(sK5,tptp0) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f49]) ).
fof(f49,plain,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(rectify,[],[f48]) ).
fof(f48,negated_conjecture,
~ ~ ? [X101] : occurrence_of(X101,tptp0),
inference(negated_conjecture,[],[f47]) ).
fof(f47,conjecture,
~ ? [X101] : occurrence_of(X101,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f445,plain,
root(sK7(sK5),sK16(sK7(sK5),sK5)),
inference(unit_resulting_resolution,[],[f331,f242]) ).
fof(f242,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK16(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f491,plain,
~ sP1(tptp0,sK7(sK5)),
inference(unit_resulting_resolution,[],[f489,f233]) ).
fof(f233,plain,
! [X0,X1,X4] :
( ~ min_precedes(X1,X4,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f489,plain,
min_precedes(sK7(sK5),sK8(sK5),tptp0),
inference(unit_resulting_resolution,[],[f487,f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| min_precedes(X2,X1,X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ( min_precedes(sK22(X0,X1,X2),X1,X0)
& min_precedes(X2,sK22(X0,X1,X2),X0) )
| ~ min_precedes(X2,X1,X0) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X0)
| ~ min_precedes(X2,X4,X0) )
& min_precedes(X2,X1,X0) )
| ~ sP4(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f186,f187]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
=> ( min_precedes(sK22(X0,X1,X2),X1,X0)
& min_precedes(X2,sK22(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
| ~ min_precedes(X2,X1,X0) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X0)
| ~ min_precedes(X2,X4,X0) )
& min_precedes(X2,X1,X0) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
! [X2,X1,X0] :
( ( sP4(X2,X1,X0)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ sP4(X2,X1,X0) ) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X2,X1,X0] :
( ( sP4(X2,X1,X0)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ sP4(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X2,X1,X0] :
( sP4(X2,X1,X0)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f487,plain,
sP4(tptp0,sK8(sK5),sK7(sK5)),
inference(unit_resulting_resolution,[],[f421,f273]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| sP4(X2,X1,X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ sP4(X2,X1,X0) )
& ( sP4(X2,X1,X0)
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> sP4(X2,X1,X0) ),
inference(definition_folding,[],[f120,f137]) ).
fof(f120,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X15,X16,X17] :
( next_subocc(X15,X16,X17)
<=> ( ~ ? [X18] :
( min_precedes(X18,X16,X17)
& min_precedes(X15,X18,X17) )
& min_precedes(X15,X16,X17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f421,plain,
next_subocc(sK7(sK5),sK8(sK5),tptp0),
inference(unit_resulting_resolution,[],[f289,f211]) ).
fof(f211,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK7(X0),sK8(X0),tptp0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f3179,plain,
subactivity_occurrence(sK7(sK5),sK19(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f3137,f257]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X1,sK19(X0,X1,X2)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f3217,plain,
~ leaf_occ(sK7(sK5),sK19(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f497,f3180,f282]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ sP24(X2,X1)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(general_splitting,[],[f267,f281_D]) ).
fof(f281,plain,
! [X2,X3,X1] :
( ~ min_precedes(X1,X3,X2)
| sP24(X2,X1) ),
inference(cnf_transformation,[],[f281_D]) ).
fof(f281_D,plain,
! [X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
<=> ~ sP24(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( leaf_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X60,X61,X62] :
( ( leaf_occ(X61,X60)
& occurrence_of(X60,X62) )
=> ~ ? [X63] : min_precedes(X61,X63,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f497,plain,
sP24(tptp0,sK7(sK5)),
inference(unit_resulting_resolution,[],[f489,f281]) ).
fof(f385,plain,
arboreal(sK7(sK5)),
inference(unit_resulting_resolution,[],[f195,f309,f222]) ).
fof(f222,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X40,X41] :
( occurrence_of(X40,X41)
=> ( arboreal(X40)
<=> atomic(X41) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f309,plain,
occurrence_of(sK7(sK5),tptp4),
inference(unit_resulting_resolution,[],[f289,f207]) ).
fof(f207,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK7(X0),tptp4) ),
inference(cnf_transformation,[],[f145]) ).
fof(f195,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f202,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(f25398,plain,
occurrence_of(sK10(sK7(sK5)),tptp3),
inference(superposition,[],[f7510,f25393]) ).
fof(f25393,plain,
sK10(sK7(sK5)) = sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f5446,f7417,f7758,f7415,f14494,f14500,f24483,f276]) ).
fof(f276,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(X3,X1)
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0)
| X2 = X3
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X3,X1)
& subactivity_occurrence(X2,X1)
& arboreal(X3)
& arboreal(X2)
& occurrence_of(X1,X0) )
=> ( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X85,X86,X87,X88] :
( ( subactivity_occurrence(X88,X86)
& subactivity_occurrence(X87,X86)
& arboreal(X88)
& arboreal(X87)
& occurrence_of(X86,X85) )
=> ( X87 = X88
| min_precedes(X88,X87,X85)
| min_precedes(X87,X88,X85) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(f24483,plain,
~ min_precedes(sK10(sK7(sK5)),sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f7319,f24479,f270]) ).
fof(f270,plain,
! [X2,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ min_precedes(X2,X4,X0)
| ~ min_precedes(X4,X1,X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f24479,plain,
sP4(tptp0,sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),sK7(sK5)),
inference(forward_demodulation,[],[f24472,f14561]) ).
fof(f14561,plain,
sK7(sK5) = sK7(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f7497,f7630,f7511,f286]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ root_occ(X1,X2)
| X0 = X1
| ~ root_occ(X0,X2)
| ~ sP26(X2) ),
inference(general_splitting,[],[f277,f285_D]) ).
fof(f285,plain,
! [X2,X3] :
( ~ occurrence_of(X2,X3)
| sP26(X2) ),
inference(cnf_transformation,[],[f285_D]) ).
fof(f285_D,plain,
! [X2] :
( ! [X3] : ~ occurrence_of(X2,X3)
<=> ~ sP26(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X7,X8,X9,X10] :
( ( root_occ(X8,X9)
& root_occ(X7,X9)
& occurrence_of(X9,X10) )
=> X7 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f7511,plain,
root_occ(sK7(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f7474,f208]) ).
fof(f7474,plain,
sP0(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f7417,f212]) ).
fof(f7630,plain,
root_occ(sK7(sK5),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f613,f7417,f7416,f243]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f7416,plain,
subactivity_occurrence(sK7(sK5),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f7327,f257]) ).
fof(f7327,plain,
sP2(sK10(sK7(sK5)),sK7(sK5),tptp0),
inference(unit_resulting_resolution,[],[f7319,f259]) ).
fof(f7497,plain,
sP26(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f7417,f285]) ).
fof(f24472,plain,
sP4(tptp0,sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),sK7(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0))),
inference(unit_resulting_resolution,[],[f7508,f273]) ).
fof(f7508,plain,
next_subocc(sK7(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f7474,f211]) ).
fof(f7319,plain,
min_precedes(sK7(sK5),sK10(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f7310,f269]) ).
fof(f7310,plain,
sP4(tptp0,sK10(sK7(sK5)),sK7(sK5)),
inference(unit_resulting_resolution,[],[f7262,f273]) ).
fof(f7262,plain,
next_subocc(sK7(sK5),sK10(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f385,f3217,f3179,f3180,f224]) ).
fof(f224,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| next_subocc(X0,sK10(X0),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f14500,plain,
! [X0] : ~ min_precedes(sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),X0,tptp0),
inference(unit_resulting_resolution,[],[f14491,f281]) ).
fof(f14491,plain,
~ sP24(tptp0,sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0))),
inference(unit_resulting_resolution,[],[f7417,f7509,f282]) ).
fof(f7509,plain,
leaf_occ(sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f7474,f210]) ).
fof(f210,plain,
! [X0] :
( ~ sP0(X0)
| leaf_occ(sK8(X0),X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f14494,plain,
subactivity_occurrence(sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f7509,f249]) ).
fof(f249,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( leaf(X0,sK18(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK18(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f173,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( leaf(X0,sK18(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
| ~ leaf_occ(X0,X1) ) ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X35,X36] :
( leaf_occ(X35,X36)
<=> ? [X37] :
( leaf(X35,X37)
& subactivity_occurrence(X35,X36)
& occurrence_of(X36,X37) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(f7415,plain,
subactivity_occurrence(sK10(sK7(sK5)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f7327,f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X0,sK19(X0,X1,X2)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f7758,plain,
arboreal(sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0))),
inference(unit_resulting_resolution,[],[f196,f7510,f222]) ).
fof(f196,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(f7417,plain,
occurrence_of(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f7327,f256]) ).
fof(f5446,plain,
arboreal(sK10(sK7(sK5))),
inference(unit_resulting_resolution,[],[f194,f5408,f222]) ).
fof(f194,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(f7510,plain,
occurrence_of(sK8(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),tptp3),
inference(unit_resulting_resolution,[],[f7474,f209]) ).
fof(f209,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK8(X0),tptp3) ),
inference(cnf_transformation,[],[f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PRO006+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:37:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (23254)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (23257)WARNING: value z3 for option sas not known
% 0.14/0.37 % (23257)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)
% 0.14/0.38 % (23256)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (23255)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (23258)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (23259)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)
% 0.14/0.38 % (23260)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)
% 0.14/0.38 % (23261)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)
% 0.14/0.38 Detected minimum model sizes of [4]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 Detected minimum model sizes of [4]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.40 TRYING [5]
% 0.14/0.40 TRYING [5]
% 0.22/0.44 TRYING [6]
% 0.22/0.45 TRYING [6]
% 0.22/0.53 TRYING [7]
% 0.22/0.54 TRYING [7]
% 2.03/0.64 TRYING [8]
% 2.03/0.71 TRYING [8]
% 3.66/0.93 TRYING [9]
% 3.66/0.93 % (23261)First to succeed.
% 3.66/0.93 % (23261)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23254"
% 3.66/0.93 % (23261)Refutation found. Thanks to Tanya!
% 3.66/0.93 % SZS status Theorem for theBenchmark
% 3.66/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/0.93 % (23261)------------------------------
% 3.66/0.93 % (23261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.66/0.93 % (23261)Termination reason: Refutation
% 3.66/0.93
% 3.66/0.93 % (23261)Memory used [KB]: 7484
% 3.66/0.93 % (23261)Time elapsed: 0.554 s
% 3.66/0.93 % (23261)Instructions burned: 1658 (million)
% 3.66/0.93 % (23254)Success in time 0.55 s
%------------------------------------------------------------------------------