%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PRO004+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:30:33 PM UTC 2026
% Result : Theorem 7.83s 1.62s
% Output : Refutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of formulae : 187 ( 33 unt; 5 def)
% Number of atoms : 576 ( 28 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 656 ( 267 ~; 268 |; 96 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 6 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 281 ( 0 sgn 243 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f8,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f22,axiom,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ~ ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f26,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(f34,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(f35,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& ~ atomic(X3)
& leaf_occ(X0,X2)
& leaf_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& leaf_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& root_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f46,axiom,
! [X0,X1] :
( ( leaf(X0,X1)
& ~ atomic(X1) )
=> ? [X2] :
( occurrence_of(X2,X1)
& leaf_occ(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f50,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& occurrence_of(X2,tptp3)
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(f53,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
fof(f56,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_55) ).
fof(f60,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
fof(f64,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> root_occ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
fof(f65,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_64) ).
fof(f66,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f67,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f68,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ( activity(X0)
& activity_occurrence(X1) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f70,plain,
! [X0] :
( ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f71,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f72,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f71]) ).
fof(f79,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f96,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f97,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f120]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,X1)
& leaf_occ(X0,X2) )
| ~ leaf(X0,X1)
| atomic(X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,X1)
& leaf_occ(X0,X2) )
| ~ leaf(X0,X1)
| atomic(X1) ),
inference(flattening,[],[f133]) ).
fof(f140,plain,
! [X0] :
( ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& occurrence_of(X2,tptp3)
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f143,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f144,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f146,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0] :
( ( activity(sK0(X0))
& occurrence_of(X0,sK0(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f70]) ).
fof(f148,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f79]) ).
fof(f154,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f155,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X4] : min_precedes(X4,X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(rectify,[],[f155]) ).
fof(f157,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| min_precedes(X0,sK5(X0,X1),X1) )
& ( ( ( root(X0,X1)
| min_precedes(sK6(X0,X1),X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1))],[f156]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK7(X0,X1,X2),X2)
& min_precedes(sK7(X0,X1,X2),X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f160]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK9(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK9(X0,X1,X2))
& subactivity_occurrence(X2,sK9(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f99]) ).
fof(f169,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f170,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& root(X0,X3) )
| ~ root_occ(X0,X1) ) ),
inference(rectify,[],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK13(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1))],[f170]) ).
fof(f172,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) )
| ~ leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f173,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& leaf(X0,X3) )
| ~ leaf_occ(X0,X1) ) ),
inference(rectify,[],[f172]) ).
fof(f174,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK14(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK14(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1))],[f173]) ).
fof(f175,plain,
! [X0,X1] :
( ( occurrence_of(sK15(X0,X1),X1)
& leaf_occ(X0,sK15(X0,X1)) )
| ~ leaf(X0,X1)
| atomic(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X2,sK15(X0,X1))],[f134]) ).
fof(f176,plain,
! [X0] :
( ( occurrence_of(sK16(X0),tptp4)
& root_occ(sK16(X0),X0)
& occurrence_of(sK17(X0),tptp3)
& leaf_occ(sK17(X0),X0)
& next_subocc(sK16(X0),sK17(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0))],[f140]) ).
fof(f177,plain,
! [X0,X1] :
( ( occurrence_of(sK18(X0),tptp1)
& next_subocc(X0,sK18(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0))],[f146]) ).
fof(f178,plain,
occurrence_of(sK19,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f68]) ).
fof(f179,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f181,plain,
! [X0] :
( occurrence_of(X0,sK0(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f189,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ min_precedes(X2,X0,X1)
| leaf(X0,X1)
| min_precedes(X0,sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f226,plain,
! [X2,X0,X1] :
( occurrence_of(sK9(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f238,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f243,plain,
! [X0,X1] :
( occurrence_of(X1,sK14(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f117]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f248,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f256,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| leaf_occ(X0,sK15(X0,X1))
| atomic(X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f257,plain,
! [X0,X1] :
( occurrence_of(sK15(X0,X1),X1)
| ~ leaf(X0,X1)
| atomic(X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f261,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK16(X0),sK17(X0),tptp0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f262,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK17(X0),X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f263,plain,
! [X0] :
( occurrence_of(sK17(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f264,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK16(X0),X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f265,plain,
! [X0] :
( occurrence_of(sK16(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f267,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f268,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f53]) ).
fof(f271,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f56]) ).
fof(f275,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f60]) ).
fof(f279,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f280,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK18(X0),tptp0)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f281,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK18(X0),tptp1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f282,plain,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f178]) ).
fof(f299,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| activity_occurrence(sK17(X0)) ),
inference(resolution,[],[f263,f179]) ).
fof(f311,plain,
root_occ(sK16(sK19),sK19),
inference(resolution,[],[f264,f282]) ).
fof(f312,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ atomic(tptp4)
| arboreal(sK16(X0)) ),
inference(resolution,[],[f265,f189]) ).
fof(f316,plain,
subactivity_occurrence(sK16(sK19),sK19),
inference(resolution,[],[f311,f238]) ).
fof(f326,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK16(X0)) ),
inference(forward_subsumption_resolution,[],[f312,f268]) ).
fof(f347,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| activity_occurrence(X1) ),
inference(resolution,[],[f243,f179]) ).
fof(f348,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| sK0(X0) = X1
| ~ activity_occurrence(X0) ),
inference(resolution,[],[f183,f181]) ).
fof(f355,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| sK0(X0) = X1 ),
inference(forward_subsumption_resolution,[],[f348,f179]) ).
fof(f366,plain,
next_subocc(sK16(sK19),sK17(sK19),tptp0),
inference(resolution,[],[f261,f282]) ).
fof(f367,plain,
min_precedes(sK16(sK19),sK17(sK19),tptp0),
inference(resolution,[],[f366,f215]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| activity_occurrence(sK9(X2,X0,X1)) ),
inference(resolution,[],[f226,f179]) ).
fof(f454,plain,
! [X0] :
( ~ leaf_occ(sK16(sK19),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f247,f367]) ).
fof(f481,plain,
! [X0] :
( ~ leaf(X0,tptp0)
| atomic(tptp0)
| leaf_occ(sK17(sK15(X0,tptp0)),sK15(X0,tptp0)) ),
inference(resolution,[],[f257,f262]) ).
fof(f485,plain,
! [X0] :
( leaf_occ(sK17(sK15(X0,tptp0)),sK15(X0,tptp0))
| ~ leaf(X0,tptp0) ),
inference(forward_subsumption_resolution,[],[f481,f267]) ).
fof(f684,plain,
( ~ occurrence_of(sK19,tptp0)
| occurrence_of(sK18(sK16(sK19)),tptp1)
| ~ arboreal(sK16(sK19))
| leaf_occ(sK16(sK19),sK19) ),
inference(resolution,[],[f281,f316]) ).
fof(f687,plain,
( ~ occurrence_of(sK19,tptp0)
| occurrence_of(sK18(sK16(sK19)),tptp1)
| leaf_occ(sK16(sK19),sK19) ),
inference(forward_subsumption_resolution,[],[f684,f326]) ).
fof(f690,plain,
( ~ occurrence_of(sK19,tptp0)
| occurrence_of(sK18(sK16(sK19)),tptp1) ),
inference(forward_subsumption_resolution,[],[f687,f454]) ).
fof(f692,plain,
occurrence_of(sK18(sK16(sK19)),tptp1),
inference(forward_subsumption_resolution,[],[f690,f282]) ).
fof(f702,plain,
! [X0] :
( ~ occurrence_of(sK18(sK16(sK19)),X0)
| tptp1 = X0 ),
inference(resolution,[],[f692,f183]) ).
fof(f704,plain,
( ~ atomic(tptp1)
| arboreal(sK18(sK16(sK19))) ),
inference(resolution,[],[f692,f189]) ).
fof(f707,plain,
arboreal(sK18(sK16(sK19))),
inference(forward_subsumption_resolution,[],[f704,f271]) ).
fof(f709,plain,
( ~ occurrence_of(sK19,tptp0)
| next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
| ~ arboreal(sK16(sK19))
| leaf_occ(sK16(sK19),sK19) ),
inference(resolution,[],[f280,f316]) ).
fof(f712,plain,
( ~ occurrence_of(sK19,tptp0)
| next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
| leaf_occ(sK16(sK19),sK19) ),
inference(forward_subsumption_resolution,[],[f709,f326]) ).
fof(f715,plain,
( ~ occurrence_of(sK19,tptp0)
| next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0) ),
inference(forward_subsumption_resolution,[],[f712,f454]) ).
fof(f717,plain,
next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0),
inference(forward_subsumption_resolution,[],[f715,f282]) ).
fof(f773,plain,
min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0),
inference(resolution,[],[f717,f215]) ).
fof(f789,plain,
( leaf(sK18(sK16(sK19)),tptp0)
| min_precedes(sK18(sK16(sK19)),sK5(sK18(sK16(sK19)),tptp0),tptp0) ),
inference(resolution,[],[f773,f212]) ).
fof(f792,plain,
subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),
inference(resolution,[],[f773,f224]) ).
fof(f796,plain,
! [X0] :
( ~ root_occ(sK18(sK16(sK19)),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f773,f248]) ).
fof(f801,definition,
( spl20_26
<=> min_precedes(sK18(sK16(sK19)),sK5(sK18(sK16(sK19)),tptp0),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_26])],[avatar_definition]) ).
fof(f803,plain,
( min_precedes(sK18(sK16(sK19)),sK5(sK18(sK16(sK19)),tptp0),tptp0)
| ~ spl20_26 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f805,definition,
( spl20_27
<=> leaf(sK18(sK16(sK19)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_27])],[avatar_definition]) ).
fof(f807,plain,
( leaf(sK18(sK16(sK19)),tptp0)
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f808,plain,
( spl20_26
| spl20_27 ),
inference(avatar_split_clause,[],[f789,f805,f801]) ).
fof(f812,plain,
! [X0] :
( activity_occurrence(sK17(sK15(X0,tptp0)))
| ~ leaf(X0,tptp0)
| atomic(tptp0) ),
inference(resolution,[],[f299,f257]) ).
fof(f814,plain,
! [X0] :
( ~ leaf(X0,tptp0)
| activity_occurrence(sK17(sK15(X0,tptp0))) ),
inference(forward_subsumption_resolution,[],[f812,f267]) ).
fof(f928,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sK0(sK9(X0,X1,X2)) = X0 ),
inference(resolution,[],[f355,f226]) ).
fof(f930,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| sK0(sK15(X0,X1)) = X1
| atomic(X1) ),
inference(resolution,[],[f355,f257]) ).
fof(f932,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| tptp3 = sK0(sK17(X0)) ),
inference(resolution,[],[f355,f263]) ).
fof(f1001,plain,
activity_occurrence(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),
inference(resolution,[],[f394,f773]) ).
fof(f1174,plain,
! [X2,X0,X1] :
( ~ leaf_occ(X2,sK15(X0,tptp0))
| ~ occurrence_of(sK15(X0,tptp0),X1)
| atomic(X1)
| ~ leaf(X0,tptp0)
| sK17(sK15(X0,tptp0)) = X2 ),
inference(resolution,[],[f485,f246]) ).
fof(f1177,plain,
! [X0] :
( ~ leaf(X0,tptp0)
| activity_occurrence(sK15(X0,tptp0)) ),
inference(resolution,[],[f485,f347]) ).
fof(f2648,plain,
! [X0] :
( tptp3 = sK0(sK17(sK15(X0,tptp0)))
| ~ leaf(X0,tptp0)
| atomic(tptp0) ),
inference(resolution,[],[f932,f257]) ).
fof(f2650,plain,
! [X0] :
( ~ leaf(X0,tptp0)
| tptp3 = sK0(sK17(sK15(X0,tptp0))) ),
inference(forward_subsumption_resolution,[],[f2648,f267]) ).
fof(f3002,plain,
tptp0 = sK0(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),
inference(resolution,[],[f928,f773]) ).
fof(f6977,definition,
( spl20_246
<=> occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl20_246])],[avatar_definition]) ).
fof(f6978,plain,
( occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ spl20_246 ),
inference(avatar_component_clause,[],[f6977]) ).
fof(f7017,plain,
( ! [X0] :
( ~ leaf_occ(sK18(sK16(sK19)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl20_26 ),
inference(resolution,[],[f803,f247]) ).
fof(f8163,plain,
( occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ activity_occurrence(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
inference(superposition,[],[f181,f3002]) ).
fof(f8175,plain,
occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0),
inference(forward_subsumption_resolution,[],[f8163,f1001]) ).
fof(f8177,plain,
spl20_246,
inference(avatar_split_clause,[],[f8175,f6977]) ).
fof(f25270,plain,
( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| root_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ arboreal(sK18(sK16(sK19)))
| leaf_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
inference(resolution,[],[f792,f279]) ).
fof(f25280,plain,
( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ arboreal(sK18(sK16(sK19)))
| leaf_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
inference(forward_subsumption_resolution,[],[f25270,f796]) ).
fof(f25300,plain,
( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ arboreal(sK18(sK16(sK19)))
| ~ spl20_26 ),
inference(forward_subsumption_resolution,[],[f25280,f7017]) ).
fof(f25303,plain,
( ~ arboreal(sK18(sK16(sK19)))
| ~ spl20_26
| ~ spl20_246 ),
inference(forward_subsumption_resolution,[],[f25300,f6978]) ).
fof(f25304,plain,
( $false
| ~ spl20_26
| ~ spl20_246 ),
inference(forward_subsumption_resolution,[],[f25303,f707]) ).
fof(f25305,plain,
( ~ spl20_26
| ~ spl20_246 ),
inference(avatar_contradiction_clause,[],[f25304]) ).
fof(f25513,plain,
( activity_occurrence(sK17(sK15(sK18(sK16(sK19)),tptp0)))
| ~ spl20_27 ),
inference(resolution,[],[f807,f814]) ).
fof(f25517,plain,
( activity_occurrence(sK15(sK18(sK16(sK19)),tptp0))
| ~ spl20_27 ),
inference(resolution,[],[f807,f1177]) ).
fof(f25520,plain,
( tptp3 = sK0(sK17(sK15(sK18(sK16(sK19)),tptp0)))
| ~ spl20_27 ),
inference(resolution,[],[f807,f2650]) ).
fof(f25557,plain,
( leaf_occ(sK18(sK16(sK19)),sK15(sK18(sK16(sK19)),tptp0))
| atomic(tptp0)
| ~ spl20_27 ),
inference(resolution,[],[f807,f256]) ).
fof(f25571,plain,
( tptp0 = sK0(sK15(sK18(sK16(sK19)),tptp0))
| atomic(tptp0)
| ~ spl20_27 ),
inference(resolution,[],[f807,f930]) ).
fof(f25608,plain,
( tptp0 = sK0(sK15(sK18(sK16(sK19)),tptp0))
| ~ spl20_27 ),
inference(forward_subsumption_resolution,[],[f25571,f267]) ).
fof(f25618,plain,
( leaf_occ(sK18(sK16(sK19)),sK15(sK18(sK16(sK19)),tptp0))
| ~ spl20_27 ),
inference(forward_subsumption_resolution,[],[f25557,f267]) ).
fof(f28938,plain,
( occurrence_of(sK17(sK15(sK18(sK16(sK19)),tptp0)),tptp3)
| ~ activity_occurrence(sK17(sK15(sK18(sK16(sK19)),tptp0)))
| ~ spl20_27 ),
inference(superposition,[],[f181,f25520]) ).
fof(f28971,plain,
( occurrence_of(sK17(sK15(sK18(sK16(sK19)),tptp0)),tptp3)
| ~ spl20_27 ),
inference(forward_subsumption_resolution,[],[f28938,f25513]) ).
fof(f29525,plain,
( ! [X0] :
( ~ occurrence_of(sK15(sK18(sK16(sK19)),tptp0),X0)
| atomic(X0)
| ~ leaf(sK18(sK16(sK19)),tptp0)
| sK18(sK16(sK19)) = sK17(sK15(sK18(sK16(sK19)),tptp0)) )
| ~ spl20_27 ),
inference(resolution,[],[f25618,f1174]) ).
fof(f29546,definition,
( spl20_1133
<=> ! [X0] :
( ~ occurrence_of(sK15(sK18(sK16(sK19)),tptp0),X0)
| atomic(X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_1133])],[avatar_definition]) ).
fof(f29547,plain,
( ! [X0] :
( ~ occurrence_of(sK15(sK18(sK16(sK19)),tptp0),X0)
| atomic(X0) )
| ~ spl20_1133 ),
inference(avatar_component_clause,[],[f29546]) ).
fof(f29550,plain,
( ! [X0] :
( ~ occurrence_of(sK15(sK18(sK16(sK19)),tptp0),X0)
| atomic(X0)
| sK18(sK16(sK19)) = sK17(sK15(sK18(sK16(sK19)),tptp0)) )
| ~ spl20_27 ),
inference(forward_subsumption_resolution,[],[f29525,f807]) ).
fof(f29554,definition,
( spl20_1134
<=> sK18(sK16(sK19)) = sK17(sK15(sK18(sK16(sK19)),tptp0)) ),
introduced(definition,[new_symbols(definition,[spl20_1134])],[avatar_definition]) ).
fof(f29556,plain,
( sK18(sK16(sK19)) = sK17(sK15(sK18(sK16(sK19)),tptp0))
| ~ spl20_1134 ),
inference(avatar_component_clause,[],[f29554]) ).
fof(f29557,plain,
( spl20_1134
| spl20_1133
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f29550,f805,f29546,f29554]) ).
fof(f30123,plain,
( atomic(sK0(sK15(sK18(sK16(sK19)),tptp0)))
| ~ activity_occurrence(sK15(sK18(sK16(sK19)),tptp0))
| ~ spl20_1133 ),
inference(resolution,[],[f29547,f181]) ).
fof(f30128,plain,
( atomic(sK0(sK15(sK18(sK16(sK19)),tptp0)))
| ~ spl20_27
| ~ spl20_1133 ),
inference(forward_subsumption_resolution,[],[f30123,f25517]) ).
fof(f30132,plain,
( atomic(tptp0)
| ~ spl20_27
| ~ spl20_1133 ),
inference(forward_demodulation,[],[f30128,f25608]) ).
fof(f30135,plain,
( $false
| ~ spl20_27
| ~ spl20_1133 ),
inference(forward_subsumption_resolution,[],[f30132,f267]) ).
fof(f30136,plain,
( ~ spl20_27
| ~ spl20_1133 ),
inference(avatar_contradiction_clause,[],[f30135]) ).
fof(f31815,plain,
( occurrence_of(sK18(sK16(sK19)),tptp3)
| ~ spl20_27
| ~ spl20_1134 ),
inference(superposition,[],[f28971,f29556]) ).
fof(f31913,plain,
( tptp3 = tptp1
| ~ spl20_27
| ~ spl20_1134 ),
inference(resolution,[],[f31815,f702]) ).
fof(f31925,plain,
( $false
| ~ spl20_27
| ~ spl20_1134 ),
inference(forward_subsumption_resolution,[],[f31913,f275]) ).
fof(f31926,plain,
( ~ spl20_27
| ~ spl20_1134 ),
inference(avatar_contradiction_clause,[],[f31925]) ).
cnf(s23,plain,
( spl20_26
| spl20_27 ),
inference(sat_conversion,[],[f808]) ).
cnf(s302,plain,
spl20_246,
inference(sat_conversion,[],[f8177]) ).
cnf(s992,plain,
( ~ spl20_26
| ~ spl20_246 ),
inference(sat_conversion,[],[f25305]) ).
cnf(s1255,plain,
( ~ spl20_27
| spl20_1133
| spl20_1134 ),
inference(sat_conversion,[],[f29557]) ).
cnf(s1264,plain,
( ~ spl20_27
| ~ spl20_1133 ),
inference(sat_conversion,[],[f30136]) ).
cnf(s1306,plain,
( ~ spl20_27
| ~ spl20_1134 ),
inference(sat_conversion,[],[f31926]) ).
cnf(s1308,plain,
~ spl20_26,
inference(rat,[],[s992,s302]) ).
cnf(s1347,plain,
spl20_27,
inference(rat,[],[s23,s1308]) ).
cnf(s1348,plain,
~ spl20_1134,
inference(rat,[],[s1306,s1347]) ).
cnf(s1350,plain,
~ spl20_1133,
inference(rat,[],[s1264,s1347]) ).
cnf(s1351,plain,
$false,
inference(rat,[],[s1255,s1348,s1350,s1347]) ).
fof(f31927,plain,
$false,
inference(avatar_sat_refutation,[],[s1351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO004+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:16:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.83/1.62 % (2462857)Will run a generic schedule for satisfiability detection.
% 7.83/1.62 % (2462871)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4047062992_2999 on theBenchmark for (2999ds/0Mi)
% 7.83/1.62 % Detected minimum model sizes of [4]
% 7.83/1.62 % Detected maximum model sizes of [max]
% 7.83/1.62 % TRYING [4]
% 7.83/1.62 % (2462872)% WARNING: option uhcvi not known.
% 7.83/1.62 % (2462875)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=846391823:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.83/1.62 % (2462874)dis+10_1_sil=32000:sp=arity:random_seed=2303025661:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.83/1.62 % (2462872)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1584365506:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.83/1.62 % (2462873)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=898585233:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.83/1.62 % (2462877)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1446489960:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.83/1.62 % (2462876)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2571687925:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.83/1.62 % TRYING [5]
% 7.83/1.62 % TRYING [6]
% 7.83/1.62 % (2462877)Instruction limit reached!
% 7.83/1.62 % (2462877)------------------------------
% 7.83/1.62 % (2462877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462877)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462877)Termination reason: Instruction limit
% 7.83/1.62 % (2462877)Termination phase: Saturation
% 7.83/1.62 % (2462877)Time elapsed: 0.067 s
% 7.83/1.62 % (2462877)Peak memory usage: 12 MB
% 7.83/1.62 % (2462877)Instructions burned: 161 (million)
% 7.83/1.62 % (2462874)Instruction limit reached!
% 7.83/1.62 % (2462874)------------------------------
% 7.83/1.62 % (2462874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462874)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462874)Termination reason: Instruction limit
% 7.83/1.62 % (2462874)Termination phase: Saturation
% 7.83/1.62 % (2462874)Time elapsed: 0.072 s
% 7.83/1.62 % (2462874)Peak memory usage: 12 MB
% 7.83/1.62 % (2462874)Instructions burned: 104 (million)
% 7.83/1.62 % (2462875)Instruction limit reached!
% 7.83/1.62 % (2462875)------------------------------
% 7.83/1.62 % (2462875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462875)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462875)Termination reason: Instruction limit
% 7.83/1.62 % (2462875)Termination phase: Saturation
% 7.83/1.62 % (2462875)Time elapsed: 0.075 s
% 7.83/1.62 % (2462875)Peak memory usage: 12 MB
% 7.83/1.62 % (2462875)Instructions burned: 116 (million)
% 7.83/1.62 % (2462891)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2688486858:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.83/1.62 % (2462876)Instruction limit reached!
% 7.83/1.62 % (2462876)------------------------------
% 7.83/1.62 % (2462876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462876)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462876)Termination reason: Instruction limit
% 7.83/1.62 % (2462876)Termination phase: Saturation
% 7.83/1.62 % (2462876)Time elapsed: 0.089 s
% 7.83/1.62 % (2462876)Peak memory usage: 13 MB
% 7.83/1.62 % (2462876)Instructions burned: 131 (million)
% 7.83/1.62 % (2462892)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2008060295:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.83/1.62 % Detected minimum model sizes of [4]
% 7.83/1.62 % Detected maximum model sizes of [max]
% 7.83/1.62 % TRYING [4]
% 7.83/1.62 % (2462893)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2556858596:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.83/1.62 % TRYING [7]
% 7.83/1.62 % TRYING [5]
% 7.83/1.62 % (2462895)ott-21_1_sil=16000:fs=off:random_seed=1593757248:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.83/1.62 % TRYING [6]
% 7.83/1.62 % (2462892)Instruction limit reached!
% 7.83/1.62 % (2462892)------------------------------
% 7.83/1.62 % (2462892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462892)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462892)Termination reason: Instruction limit
% 7.83/1.62 % (2462892)Termination phase: Saturation
% 7.83/1.62 % (2462892)Time elapsed: 0.088 s
% 7.83/1.62 % (2462892)Peak memory usage: 13 MB
% 7.83/1.62 % (2462892)Instructions burned: 131 (million)
% 7.83/1.62 % (2462899)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2210098568:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.83/1.62 % (2462895)Instruction limit reached!
% 7.83/1.62 % (2462895)------------------------------
% 7.83/1.62 % (2462895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462895)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462895)Termination reason: Instruction limit
% 7.83/1.62 % (2462895)Termination phase: Saturation
% 7.83/1.62 % (2462895)Time elapsed: 0.099 s
% 7.83/1.62 % (2462895)Peak memory usage: 13 MB
% 7.83/1.62 % (2462895)Instructions burned: 180 (million)
% 7.83/1.62 % (2462901)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1810267132:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.83/1.62 % Detected minimum model sizes of [4]
% 7.83/1.62 % Detected maximum model sizes of [max]
% 7.83/1.62 % TRYING [4]
% 7.83/1.62 % TRYING [5]
% 7.83/1.62 % TRYING [7]
% 7.83/1.62 % TRYING [6]
% 7.83/1.62 % (2462891)Instruction limit reached!
% 7.83/1.62 % (2462891)------------------------------
% 7.83/1.62 % (2462891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462891)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462891)Termination reason: Instruction limit
% 7.83/1.62 % (2462891)Termination phase: Finite model building constraint generation
% 7.83/1.62 % (2462891)Time elapsed: 0.308 s
% 7.83/1.62 % (2462891)Peak memory usage: 28 MB
% 7.83/1.62 % (2462891)Instructions burned: 714 (million)
% 7.83/1.62 % (2462903)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1953135190:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.83/1.62 % TRYING [8]
% 7.83/1.62 % TRYING [7]
% 7.83/1.62 % (2462893)Instruction limit reached!
% 7.83/1.62 % (2462893)------------------------------
% 7.83/1.62 % (2462893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462893)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462893)Termination reason: Instruction limit
% 7.83/1.62 % (2462893)Termination phase: Saturation
% 7.83/1.62 % (2462893)Time elapsed: 0.436 s
% 7.83/1.62 % (2462893)Peak memory usage: 20 MB
% 7.83/1.62 % (2462893)Instructions burned: 685 (million)
% 7.83/1.62 % (2462899)Instruction limit reached!
% 7.83/1.62 % (2462899)------------------------------
% 7.83/1.62 % (2462899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462899)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462899)Termination reason: Instruction limit
% 7.83/1.62 % (2462899)Termination phase: Saturation
% 7.83/1.62 % (2462899)Time elapsed: 0.342 s
% 7.83/1.62 % (2462899)Peak memory usage: 15 MB
% 7.83/1.62 % (2462899)Instructions burned: 477 (million)
% 7.83/1.62 % (2462905)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1778022524:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.83/1.62 % (2462906)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2785093495:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.83/1.62 % (2462901)Instruction limit reached!
% 7.83/1.62 % (2462901)------------------------------
% 7.83/1.62 % (2462901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462901)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462901)Termination reason: Instruction limit
% 7.83/1.62 % (2462901)Termination phase: Finite model building constraint generation
% 7.83/1.62 % (2462901)Time elapsed: 0.334 s
% 7.83/1.62 % (2462901)Peak memory usage: 22 MB
% 7.83/1.62 % (2462901)Instructions burned: 865 (million)
% 7.83/1.62 % (2462909)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1492692117:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.83/1.62 % TRYING [14]
% 7.83/1.62 % (2462906)Instruction limit reached!
% 7.83/1.62 % (2462906)------------------------------
% 7.83/1.62 % (2462906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462906)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462906)Termination reason: Instruction limit
% 7.83/1.62 % (2462906)Termination phase: Saturation
% 7.83/1.62 % (2462906)Time elapsed: 0.311 s
% 7.83/1.62 % (2462906)Peak memory usage: 13 MB
% 7.83/1.62 % (2462906)Instructions burned: 692 (million)
% 7.83/1.62 % (2462905)Instruction limit reached!
% 7.83/1.62 % (2462905)------------------------------
% 7.83/1.62 % (2462905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462905)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462905)Termination reason: Instruction limit
% 7.83/1.62 % (2462905)Termination phase: Finite model building constraint generation
% 7.83/1.62 % (2462905)Time elapsed: 0.324 s
% 7.83/1.62 % (2462905)Peak memory usage: 73 MB
% 7.83/1.62 % (2462905)Instructions burned: 891 (million)
% 7.83/1.62 % (2462911)fmb+10_1_sil=64000:random_seed=381684143:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 7.83/1.62 % Detected minimum model sizes of [4]
% 7.83/1.62 % Detected maximum model sizes of [max]
% 7.83/1.62 % TRYING [4]
% 7.83/1.62 % (2462912)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2330702642:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.83/1.62 % Detected minimum model sizes of [4]
% 7.83/1.62 % Detected maximum model sizes of [max]
% 7.83/1.62 % TRYING [20]
% 7.83/1.62 % TRYING [5]
% 7.83/1.62 % TRYING [6]
% 7.83/1.62 % (2462909)Instruction limit reached!
% 7.83/1.62 % (2462909)------------------------------
% 7.83/1.62 % (2462909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.62 % (2462909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.62 % (2462909)CaDiCaL version: 2.1.3
% 7.83/1.62 % (2462909)Termination reason: Instruction limit
% 7.83/1.62 % (2462909)Termination phase: Saturation
% 7.83/1.62 % (2462909)Time elapsed: 0.505 s
% 7.83/1.62 % (2462909)Peak memory usage: 18 MB
% 7.83/1.62 % (2462909)Instructions burned: 880 (million)
% 7.83/1.62 % (2462915)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1699137190:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 7.83/1.62 % Detected minimum model sizes of [4]
% 7.83/1.62 % Detected maximum model sizes of [max]
% 7.83/1.62 % TRYING [8]
% 7.83/1.62 % (2462903) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2462857-2462903"...
% 7.83/1.62 % (2462903)...printing done.
% 7.83/1.62 % (2462903)Refutation found. Thanks to Tanya!
% 7.83/1.62 % SZS status Theorem for theBenchmark
% 7.83/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 7.83/1.63 % (2462903)------------------------------
% 7.83/1.63 % (2462903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.63 % (2462903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.63 % (2462903)CaDiCaL version: 2.1.3
% 7.83/1.63 % (2462903)Termination reason: Refutation
% 7.83/1.63 % (2462903)Time elapsed: 0.747 s
% 7.83/1.63 % (2462903)Peak memory usage: 27 MB
% 7.83/1.63 % (2462903)Instructions burned: 1187 (million)
% 7.83/1.63 % (2462857)Success in time 1.209 s
% 7.83/1.63 % Vampire exiting
%------------------------------------------------------------------------------