TSTP Solution File: PRO004+4 by Vampire-SAT---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : PRO004+4 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n022.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 : Mon Jun 24 13:41:44 EDT 2024
% Result : Theorem 3.68s 0.97s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 42
% Syntax : Number of formulae : 206 ( 30 unt; 0 def)
% Number of atoms : 634 ( 36 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 707 ( 279 ~; 261 |; 111 &)
% ( 23 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 16 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 291 ( 249 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14842,plain,
$false,
inference(avatar_sat_refutation,[],[f309,f463,f473,f754,f767,f869,f878,f919,f924,f1208,f2292,f3724,f5737,f5781,f6917,f14841]) ).
fof(f14841,plain,
( ~ spl16_1
| ~ spl16_44
| ~ spl16_205
| ~ spl16_390 ),
inference(avatar_contradiction_clause,[],[f14840]) ).
fof(f14840,plain,
( $false
| ~ spl16_1
| ~ spl16_44
| ~ spl16_205
| ~ spl16_390 ),
inference(trivial_inequality_removal,[],[f14839]) ).
fof(f14839,plain,
( tptp3 != tptp3
| ~ spl16_1
| ~ spl16_44
| ~ spl16_205
| ~ spl16_390 ),
inference(superposition,[],[f196,f14814]) ).
fof(f14814,plain,
( tptp3 = tptp1
| ~ spl16_1
| ~ spl16_44
| ~ spl16_205
| ~ spl16_390 ),
inference(resolution,[],[f14765,f305]) ).
fof(f305,plain,
( occurrence_of(sK6(sK2(sK0)),tptp1)
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f303,plain,
( spl16_1
<=> occurrence_of(sK6(sK2(sK0)),tptp1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f14765,plain,
( ! [X0] :
( ~ occurrence_of(sK6(sK2(sK0)),X0)
| tptp3 = X0 )
| ~ spl16_44
| ~ spl16_205
| ~ spl16_390 ),
inference(backward_demodulation,[],[f2258,f14762]) ).
fof(f14762,plain,
( sK6(sK2(sK0)) = sK3(sK14(tptp0,sK2(sK0),sK6(sK2(sK0))))
| ~ spl16_205
| ~ spl16_390 ),
inference(resolution,[],[f2291,f3654]) ).
fof(f3654,plain,
( leaf_occ(sK6(sK2(sK0)),sK14(tptp0,sK2(sK0),sK6(sK2(sK0))))
| ~ spl16_390 ),
inference(avatar_component_clause,[],[f3652]) ).
fof(f3652,plain,
( spl16_390
<=> leaf_occ(sK6(sK2(sK0)),sK14(tptp0,sK2(sK0),sK6(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_390])]) ).
fof(f2291,plain,
( ! [X0] :
( ~ leaf_occ(X0,sK14(tptp0,sK2(sK0),sK6(sK2(sK0))))
| sK3(sK14(tptp0,sK2(sK0),sK6(sK2(sK0)))) = X0 )
| ~ spl16_205 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f2290,plain,
( spl16_205
<=> ! [X0] :
( sK3(sK14(tptp0,sK2(sK0),sK6(sK2(sK0)))) = X0
| ~ leaf_occ(X0,sK14(tptp0,sK2(sK0),sK6(sK2(sK0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_205])]) ).
fof(f2258,plain,
( ! [X0] :
( ~ occurrence_of(sK3(sK14(tptp0,sK2(sK0),sK6(sK2(sK0)))),X0)
| tptp3 = X0 )
| ~ spl16_44 ),
inference(resolution,[],[f1241,f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| tptp3 = X1
| ~ occurrence_of(sK3(X0),X1) ),
inference(resolution,[],[f249,f201]) ).
fof(f201,plain,
! [X0] :
( occurrence_of(sK3(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( next_subocc(sK2(X0),sK3(X0),tptp0)
& leaf_occ(sK3(X0),X0)
& occurrence_of(sK3(X0),tptp3)
& root_occ(sK2(X0),X0)
& occurrence_of(sK2(X0),tptp4) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f96,f147]) ).
fof(f147,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(sK2(X0),sK3(X0),tptp0)
& leaf_occ(sK3(X0),X0)
& occurrence_of(sK3(X0),tptp3)
& root_occ(sK2(X0),X0)
& occurrence_of(sK2(X0),tptp4) ) ),
introduced(choice_axiom,[]) ).
fof(f96,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,[],[f55]) ).
fof(f55,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,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X103] :
( next_subocc(X102,X103,tptp0)
& leaf_occ(X103,X101)
& occurrence_of(X103,tptp3)
& root_occ(X102,X101)
& occurrence_of(X102,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f126]) ).
fof(f126,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,[],[f9]) ).
fof(f9,axiom,
! [X28,X29,X30] :
( ( occurrence_of(X28,X30)
& occurrence_of(X28,X29) )
=> X29 = X30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1241,plain,
( occurrence_of(sK14(tptp0,sK2(sK0),sK6(sK2(sK0))),tptp0)
| ~ spl16_44 ),
inference(resolution,[],[f1233,f243]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK14(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X2,sK14(X0,X1,X2))
& subactivity_occurrence(X1,sK14(X0,X1,X2))
& occurrence_of(sK14(X0,X1,X2),X0) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f119,f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
=> ( subactivity_occurrence(X2,sK14(X0,X1,X2))
& subactivity_occurrence(X1,sK14(X0,X1,X2))
& occurrence_of(sK14(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f119,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,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X21,X22,X23] :
( min_precedes(X22,X23,X21)
=> ? [X24] :
( subactivity_occurrence(X23,X24)
& subactivity_occurrence(X22,X24)
& occurrence_of(X24,X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1233,plain,
( min_precedes(sK2(sK0),sK6(sK2(sK0)),tptp0)
| ~ spl16_44 ),
inference(resolution,[],[f874,f250]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ( min_precedes(sK15(X0,X1,X2),X1,X2)
& min_precedes(X0,sK15(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f182,f183]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
=> ( min_precedes(sK15(X0,X1,X2),X1,X2)
& min_precedes(X0,sK15(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f182,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) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f181]) ).
fof(f181,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) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f180]) ).
fof(f180,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) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,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,[],[f27]) ).
fof(f27,axiom,
! [X78,X79,X80] :
( next_subocc(X78,X79,X80)
<=> ( ~ ? [X81] :
( min_precedes(X81,X79,X80)
& min_precedes(X78,X81,X80) )
& min_precedes(X78,X79,X80) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f874,plain,
( next_subocc(sK2(sK0),sK6(sK2(sK0)),tptp0)
| ~ spl16_44 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f872,plain,
( spl16_44
<=> next_subocc(sK2(sK0),sK6(sK2(sK0)),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_44])]) ).
fof(f196,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6917,plain,
( ~ spl16_44
| ~ spl16_351 ),
inference(avatar_contradiction_clause,[],[f6916]) ).
fof(f6916,plain,
( $false
| ~ spl16_44
| ~ spl16_351 ),
inference(resolution,[],[f5828,f1241]) ).
fof(f5828,plain,
( ~ occurrence_of(sK14(tptp0,sK2(sK0),sK6(sK2(sK0))),tptp0)
| ~ spl16_44
| ~ spl16_351 ),
inference(resolution,[],[f3295,f1244]) ).
fof(f1244,plain,
( ! [X0] :
( ~ root_occ(sK6(sK2(sK0)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl16_44 ),
inference(resolution,[],[f1233,f247]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( root_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X35,X36,X37] :
( ( root_occ(X36,X35)
& occurrence_of(X35,X37) )
=> ~ ? [X38] : min_precedes(X38,X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3295,plain,
( root_occ(sK6(sK2(sK0)),sK14(tptp0,sK2(sK0),sK6(sK2(sK0))))
| ~ spl16_351 ),
inference(avatar_component_clause,[],[f3293]) ).
fof(f3293,plain,
( spl16_351
<=> root_occ(sK6(sK2(sK0)),sK14(tptp0,sK2(sK0),sK6(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_351])]) ).
fof(f5781,plain,
( ~ spl16_300
| spl16_390
| spl16_351
| ~ spl16_44
| ~ spl16_46 ),
inference(avatar_split_clause,[],[f4442,f912,f872,f3293,f3652,f2924]) ).
fof(f2924,plain,
( spl16_300
<=> occurrence_of(sK14(tptp0,sK2(sK0),sK6(sK2(sK0))),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_300])]) ).
fof(f912,plain,
( spl16_46
<=> arboreal(sK6(sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).
fof(f4442,plain,
( root_occ(sK6(sK2(sK0)),sK14(tptp0,sK2(sK0),sK6(sK2(sK0))))
| leaf_occ(sK6(sK2(sK0)),sK14(tptp0,sK2(sK0),sK6(sK2(sK0))))
| ~ occurrence_of(sK14(tptp0,sK2(sK0),sK6(sK2(sK0))),tptp0)
| ~ spl16_44
| ~ spl16_46 ),
inference(resolution,[],[f945,f1243]) ).
fof(f1243,plain,
( subactivity_occurrence(sK6(sK2(sK0)),sK14(tptp0,sK2(sK0),sK6(sK2(sK0))))
| ~ spl16_44 ),
inference(resolution,[],[f1233,f245]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK14(X0,X1,X2)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f945,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK6(sK2(sK0)),X0)
| root_occ(sK6(sK2(sK0)),X0)
| leaf_occ(sK6(sK2(sK0)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl16_46 ),
inference(resolution,[],[f914,f214]) ).
fof(f214,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| root_occ(X0,X1)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( root_occ(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( root_occ(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> root_occ(X0,X1) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X104,X105] :
( ( ~ leaf_occ(X104,X105)
& arboreal(X104)
& subactivity_occurrence(X104,X105)
& occurrence_of(X105,tptp0) )
=> root_occ(X104,X105) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f914,plain,
( arboreal(sK6(sK2(sK0)))
| ~ spl16_46 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f5737,plain,
( ~ spl16_44
| ~ spl16_204 ),
inference(avatar_contradiction_clause,[],[f5736]) ).
fof(f5736,plain,
( $false
| ~ spl16_44
| ~ spl16_204 ),
inference(resolution,[],[f5679,f186]) ).
fof(f186,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5679,plain,
( atomic(tptp0)
| ~ spl16_44
| ~ spl16_204 ),
inference(resolution,[],[f2288,f1241]) ).
fof(f2288,plain,
( ! [X1] :
( ~ occurrence_of(sK14(tptp0,sK2(sK0),sK6(sK2(sK0))),X1)
| atomic(X1) )
| ~ spl16_204 ),
inference(avatar_component_clause,[],[f2287]) ).
fof(f2287,plain,
( spl16_204
<=> ! [X1] :
( atomic(X1)
| ~ occurrence_of(sK14(tptp0,sK2(sK0),sK6(sK2(sK0))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_204])]) ).
fof(f3724,plain,
( ~ spl16_44
| spl16_300 ),
inference(avatar_contradiction_clause,[],[f3723]) ).
fof(f3723,plain,
( $false
| ~ spl16_44
| spl16_300 ),
inference(resolution,[],[f2926,f1241]) ).
fof(f2926,plain,
( ~ occurrence_of(sK14(tptp0,sK2(sK0),sK6(sK2(sK0))),tptp0)
| spl16_300 ),
inference(avatar_component_clause,[],[f2924]) ).
fof(f2292,plain,
( spl16_204
| spl16_205
| ~ spl16_44 ),
inference(avatar_split_clause,[],[f2262,f872,f2290,f2287]) ).
fof(f2262,plain,
( ! [X0,X1] :
( sK3(sK14(tptp0,sK2(sK0),sK6(sK2(sK0)))) = X0
| atomic(X1)
| ~ occurrence_of(sK14(tptp0,sK2(sK0),sK6(sK2(sK0))),X1)
| ~ leaf_occ(X0,sK14(tptp0,sK2(sK0),sK6(sK2(sK0)))) )
| ~ spl16_44 ),
inference(resolution,[],[f1241,f298]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X1,tptp0)
| sK3(X1) = X0
| atomic(X2)
| ~ occurrence_of(X1,X2)
| ~ leaf_occ(X0,X1) ),
inference(resolution,[],[f254,f202]) ).
fof(f202,plain,
! [X0] :
( leaf_occ(sK3(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2)
| X0 = X1
| atomic(X3)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( ( leaf_occ(X1,X2)
& leaf_occ(X0,X2)
& ~ atomic(X3)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X86,X87,X88,X89] :
( ( leaf_occ(X87,X88)
& leaf_occ(X86,X88)
& ~ atomic(X89)
& occurrence_of(X88,X89) )
=> X86 = X87 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1208,plain,
~ spl16_45,
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1207,plain,
( $false
| ~ spl16_45 ),
inference(resolution,[],[f1206,f185]) ).
fof(f185,plain,
occurrence_of(sK0,tptp0),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
occurrence_of(sK0,tptp0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f52,f143]) ).
fof(f143,plain,
( ? [X0] : occurrence_of(X0,tptp0)
=> occurrence_of(sK0,tptp0) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f51]) ).
fof(f51,plain,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(rectify,[],[f50]) ).
fof(f50,negated_conjecture,
~ ~ ? [X111] : occurrence_of(X111,tptp0),
inference(negated_conjecture,[],[f49]) ).
fof(f49,conjecture,
~ ? [X111] : occurrence_of(X111,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1206,plain,
( ~ occurrence_of(sK0,tptp0)
| ~ spl16_45 ),
inference(resolution,[],[f877,f335]) ).
fof(f335,plain,
subactivity_occurrence(sK2(sK0),sK0),
inference(resolution,[],[f261,f185]) ).
fof(f261,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| subactivity_occurrence(sK2(X0),X0) ),
inference(resolution,[],[f200,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( root(X0,sK11(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK11(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f169,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( root(X0,sK11(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,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,[],[f168]) ).
fof(f168,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,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X58,X59] :
( root_occ(X58,X59)
<=> ? [X60] :
( root(X58,X60)
& subactivity_occurrence(X58,X59)
& occurrence_of(X59,X60) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f200,plain,
! [X0] :
( root_occ(sK2(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f877,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK2(sK0),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl16_45 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f876,plain,
( spl16_45
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_45])]) ).
fof(f924,plain,
spl16_47,
inference(avatar_contradiction_clause,[],[f923]) ).
fof(f923,plain,
( $false
| spl16_47 ),
inference(resolution,[],[f918,f188]) ).
fof(f188,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f918,plain,
( ~ atomic(tptp1)
| spl16_47 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f916,plain,
( spl16_47
<=> atomic(tptp1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_47])]) ).
fof(f919,plain,
( spl16_46
| ~ spl16_47
| ~ spl16_1 ),
inference(avatar_split_clause,[],[f910,f303,f916,f912]) ).
fof(f910,plain,
( ~ atomic(tptp1)
| arboreal(sK6(sK2(sK0)))
| ~ spl16_1 ),
inference(resolution,[],[f305,f211]) ).
fof(f211,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X51,X52] :
( occurrence_of(X51,X52)
=> ( arboreal(X51)
<=> atomic(X52) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f878,plain,
( spl16_44
| spl16_45 ),
inference(avatar_split_clause,[],[f870,f876,f872]) ).
fof(f870,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0)
| next_subocc(sK2(sK0),sK6(sK2(sK0)),tptp0) ),
inference(global_subsumption,[],[f651,f310]) ).
fof(f310,plain,
! [X0] :
( leaf_occ(sK2(sK0),X0)
| next_subocc(sK2(sK0),sK6(sK2(sK0)),tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f217,f297]) ).
fof(f297,plain,
arboreal(sK2(sK0)),
inference(resolution,[],[f265,f185]) ).
fof(f265,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK2(X0)) ),
inference(global_subsumption,[],[f189,f263]) ).
fof(f263,plain,
! [X0] :
( ~ atomic(tptp4)
| arboreal(sK2(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f211,f199]) ).
fof(f199,plain,
! [X0] :
( occurrence_of(sK2(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f189,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f217,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| next_subocc(X0,sK6(X0),tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ( next_subocc(X0,sK6(X0),tptp0)
& occurrence_of(sK6(X0),tptp1) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f110,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
=> ( next_subocc(X0,sK6(X0),tptp0)
& occurrence_of(sK6(X0),tptp1) ) ),
introduced(choice_axiom,[]) ).
fof(f110,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,[],[f109]) ).
fof(f109,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,[],[f64]) ).
fof(f64,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,[],[f48]) ).
fof(f48,axiom,
! [X108,X109] :
( ( ~ leaf_occ(X108,X109)
& arboreal(X108)
& subactivity_occurrence(X108,X109)
& occurrence_of(X109,tptp0) )
=> ? [X110] :
( next_subocc(X108,X110,tptp0)
& occurrence_of(X110,tptp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f651,plain,
! [X0] :
( ~ leaf_occ(sK2(sK0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f546,f248]) ).
fof(f248,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f124]) ).
fof(f124,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,[],[f10]) ).
fof(f10,axiom,
! [X31,X32,X33] :
( ( leaf_occ(X32,X31)
& occurrence_of(X31,X33) )
=> ~ ? [X34] : min_precedes(X32,X34,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f546,plain,
min_precedes(sK2(sK0),sK3(sK0),tptp0),
inference(resolution,[],[f361,f185]) ).
fof(f361,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK2(X0),sK3(X0),tptp0) ),
inference(resolution,[],[f250,f203]) ).
fof(f203,plain,
! [X0] :
( next_subocc(sK2(X0),sK3(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f869,plain,
( ~ spl16_14
| ~ spl16_42 ),
inference(avatar_contradiction_clause,[],[f868]) ).
fof(f868,plain,
( $false
| ~ spl16_14
| ~ spl16_42 ),
inference(trivial_inequality_removal,[],[f867]) ).
fof(f867,plain,
( tptp4 != tptp4
| ~ spl16_14
| ~ spl16_42 ),
inference(superposition,[],[f194,f840]) ).
fof(f840,plain,
( tptp4 = tptp3
| ~ spl16_14
| ~ spl16_42 ),
inference(forward_demodulation,[],[f790,f393]) ).
fof(f393,plain,
tptp4 = sK1(sK2(sK0)),
inference(resolution,[],[f382,f347]) ).
fof(f347,plain,
occurrence_of(sK2(sK0),sK1(sK2(sK0))),
inference(resolution,[],[f338,f198]) ).
fof(f198,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( occurrence_of(X0,sK1(X0))
| ~ activity_occurrence(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f95,f145]) ).
fof(f145,plain,
! [X0] :
( ? [X1] : occurrence_of(X0,X1)
=> occurrence_of(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ? [X1] : occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] : occurrence_of(X0,X1) ),
inference(pure_predicate_removal,[],[f54]) ).
fof(f54,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X41] :
( activity_occurrence(X41)
=> ? [X42] :
( occurrence_of(X41,X42)
& activity(X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f338,plain,
activity_occurrence(sK2(sK0)),
inference(resolution,[],[f335,f207]) ).
fof(f207,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity_occurrence(X0) )
| ~ subactivity_occurrence(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
=> ( activity_occurrence(X1)
& activity_occurrence(X0) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X39,X40] :
( subactivity_occurrence(X39,X40)
=> ( activity_occurrence(X40)
& activity_occurrence(X39) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f382,plain,
! [X0] :
( ~ occurrence_of(sK2(sK0),X0)
| tptp4 = X0 ),
inference(resolution,[],[f275,f185]) ).
fof(f275,plain,
! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| tptp4 = X1
| ~ occurrence_of(sK2(X0),X1) ),
inference(resolution,[],[f249,f199]) ).
fof(f790,plain,
( tptp3 = sK1(sK2(sK0))
| ~ spl16_14
| ~ spl16_42 ),
inference(backward_demodulation,[],[f405,f774]) ).
fof(f774,plain,
( sK2(sK0) = sK3(sK0)
| ~ spl16_14
| ~ spl16_42 ),
inference(resolution,[],[f749,f462]) ).
fof(f462,plain,
( ! [X0] :
( ~ leaf_occ(X0,sK0)
| sK3(sK0) = X0 )
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl16_14
<=> ! [X0] :
( sK3(sK0) = X0
| ~ leaf_occ(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f749,plain,
( leaf_occ(sK2(sK0),sK0)
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f747,plain,
( spl16_42
<=> leaf_occ(sK2(sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_42])]) ).
fof(f405,plain,
tptp3 = sK1(sK3(sK0)),
inference(resolution,[],[f403,f377]) ).
fof(f377,plain,
occurrence_of(sK3(sK0),sK1(sK3(sK0))),
inference(resolution,[],[f376,f198]) ).
fof(f376,plain,
activity_occurrence(sK3(sK0)),
inference(resolution,[],[f271,f185]) ).
fof(f271,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| activity_occurrence(sK3(X0)) ),
inference(resolution,[],[f209,f201]) ).
fof(f209,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( activity_occurrence(X1)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> activity_occurrence(X1) ),
inference(pure_predicate_removal,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X12,X13] :
( occurrence_of(X13,X12)
=> ( activity_occurrence(X13)
& activity(X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f403,plain,
! [X0] :
( ~ occurrence_of(sK3(sK0),X0)
| tptp3 = X0 ),
inference(resolution,[],[f276,f185]) ).
fof(f194,plain,
tptp4 != tptp3,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f767,plain,
spl16_43,
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f766,plain,
( $false
| spl16_43 ),
inference(resolution,[],[f753,f185]) ).
fof(f753,plain,
( ~ occurrence_of(sK0,tptp0)
| spl16_43 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl16_43
<=> occurrence_of(sK0,tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_43])]) ).
fof(f754,plain,
( spl16_42
| ~ spl16_43
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f745,f307,f751,f747]) ).
fof(f307,plain,
( spl16_2
<=> ! [X0] :
( leaf_occ(sK2(sK0),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK2(sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f745,plain,
( ~ occurrence_of(sK0,tptp0)
| leaf_occ(sK2(sK0),sK0)
| ~ spl16_2 ),
inference(resolution,[],[f308,f335]) ).
fof(f308,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK2(sK0),X0)
| ~ occurrence_of(X0,tptp0)
| leaf_occ(sK2(sK0),X0) )
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f473,plain,
~ spl16_13,
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl16_13 ),
inference(resolution,[],[f467,f186]) ).
fof(f467,plain,
( atomic(tptp0)
| ~ spl16_13 ),
inference(resolution,[],[f459,f185]) ).
fof(f459,plain,
( ! [X1] :
( ~ occurrence_of(sK0,X1)
| atomic(X1) )
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl16_13
<=> ! [X1] :
( atomic(X1)
| ~ occurrence_of(sK0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f463,plain,
( spl16_13
| spl16_14 ),
inference(avatar_split_clause,[],[f456,f461,f458]) ).
fof(f456,plain,
! [X0,X1] :
( sK3(sK0) = X0
| atomic(X1)
| ~ occurrence_of(sK0,X1)
| ~ leaf_occ(X0,sK0) ),
inference(resolution,[],[f298,f185]) ).
fof(f309,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f301,f307,f303]) ).
fof(f301,plain,
! [X0] :
( leaf_occ(sK2(sK0),X0)
| occurrence_of(sK6(sK2(sK0)),tptp1)
| ~ subactivity_occurrence(sK2(sK0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f216,f297]) ).
fof(f216,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| occurrence_of(sK6(X0),tptp1)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO004+4 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.32 % Computer : n022.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 06:27:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.21/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.21/0.35 Running first-order model finding
% 0.21/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (32324)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.21/0.39 Detected minimum model sizes of [4]
% 0.21/0.39 Detected maximum model sizes of [max]
% 0.21/0.41 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (32325)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.41 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (32322)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.21/0.41 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (32323)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.41 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (32321)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.41 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (32326)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.21/0.41 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (32327)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.21/0.42 Detected minimum model sizes of [4]
% 0.21/0.42 Detected maximum model sizes of [max]
% 0.21/0.42 Detected minimum model sizes of [4]
% 0.21/0.42 Detected maximum model sizes of [max]
% 0.21/0.42 TRYING [4]
% 0.21/0.43 TRYING [5]
% 0.21/0.43 TRYING [10]
% 0.21/0.46 TRYING [6]
% 0.21/0.47 % (32325)Instruction limit reached!
% 0.21/0.47 % (32325)------------------------------
% 0.21/0.47 % (32325)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (32325)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (32325)Termination reason: Time limit
% 0.21/0.47 % (32325)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (32325)Memory used [KB]: 1643
% 0.21/0.47 % (32325)Time elapsed: 0.060 s
% 0.21/0.47 % (32325)Instructions burned: 104 (million)
% 0.21/0.47 % (32327)Instruction limit reached!
% 0.21/0.47 % (32327)------------------------------
% 0.21/0.47 % (32327)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (32327)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (32327)Termination reason: Time limit
% 0.21/0.47 % (32327)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (32327)Memory used [KB]: 2665
% 0.21/0.47 % (32327)Time elapsed: 0.064 s
% 0.21/0.47 % (32327)Instructions burned: 117 (million)
% 0.21/0.49 % (32326)Instruction limit reached!
% 0.21/0.49 % (32326)------------------------------
% 0.21/0.49 % (32326)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (32326)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (32326)Termination reason: Time limit
% 0.21/0.49 % (32326)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (32326)Memory used [KB]: 2506
% 0.21/0.49 % (32326)Time elapsed: 0.080 s
% 0.21/0.49 % (32326)Instructions burned: 148 (million)
% 0.21/0.50 TRYING [7]
% 0.21/0.51 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (32328)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.21/0.51 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (32329)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.52 % (32320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (32330)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.56/0.56 TRYING [23]
% 1.56/0.57 % (32329)Instruction limit reached!
% 1.56/0.57 % (32329)------------------------------
% 1.56/0.57 % (32329)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.56/0.57 % (32329)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.56/0.57 % (32329)Termination reason: Time limit
% 1.56/0.57 % (32329)Termination phase: Saturation
% 1.56/0.57
% 1.56/0.57 % (32329)Memory used [KB]: 3107
% 1.56/0.57 % (32329)Time elapsed: 0.060 s
% 1.56/0.57 % (32329)Instructions burned: 177 (million)
% 1.70/0.59 TRYING [8]
% 1.70/0.60 % (32330)Instruction limit reached!
% 1.70/0.60 % (32330)------------------------------
% 1.70/0.60 % (32330)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.70/0.60 % (32330)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.70/0.60 % (32330)Termination reason: Time limit
% 1.70/0.60 % (32330)Termination phase: Saturation
% 1.70/0.60
% 1.70/0.60 % (32330)Memory used [KB]: 2523
% 1.70/0.60 % (32330)Time elapsed: 0.081 s
% 1.70/0.60 % (32330)Instructions burned: 270 (million)
% 1.70/0.60 % (32320)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.60 % (32331)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.02/0.64 % (32320)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.64 % (32332)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.02/0.64 Detected minimum model sizes of [4]
% 2.02/0.64 Detected maximum model sizes of [max]
% 2.02/0.64 TRYING [4]
% 2.02/0.64 TRYING [5]
% 2.09/0.67 TRYING [6]
% 2.09/0.67 % (32328)Instruction limit reached!
% 2.09/0.67 % (32328)------------------------------
% 2.09/0.67 % (32328)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.09/0.67 % (32328)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.09/0.67 % (32328)Termination reason: Time limit
% 2.09/0.67 % (32328)Termination phase: Saturation
% 2.09/0.67
% 2.09/0.67 % (32328)Memory used [KB]: 4608
% 2.09/0.67 % (32328)Time elapsed: 0.162 s
% 2.09/0.67 % (32328)Instructions burned: 404 (million)
% 2.09/0.70 % (32320)Running in auto input_syntax mode. Trying TPTP
% 2.09/0.70 % (32333)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 2.09/0.71 TRYING [7]
% 2.58/0.80 TRYING [9]
% 2.58/0.80 TRYING [8]
% 3.27/0.94 % (32331)Instruction limit reached!
% 3.27/0.94 % (32331)------------------------------
% 3.27/0.94 % (32331)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.27/0.94 % (32331)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.27/0.94 % (32331)Termination reason: Time limit
% 3.27/0.94 % (32331)Termination phase: Saturation
% 3.27/0.94
% 3.27/0.94 % (32331)Memory used [KB]: 8909
% 3.27/0.94 % (32331)Time elapsed: 0.354 s
% 3.27/0.94 % (32331)Instructions burned: 902 (million)
% 3.68/0.96 % (32333)First to succeed.
% 3.68/0.96 % (32333)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32320"
% 3.68/0.97 % (32320)Running in auto input_syntax mode. Trying TPTP
% 3.68/0.97 % (32333)Refutation found. Thanks to Tanya!
% 3.68/0.97 % SZS status Theorem for theBenchmark
% 3.68/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/0.97 % (32333)------------------------------
% 3.68/0.97 % (32333)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.68/0.97 % (32333)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.68/0.97 % (32333)Termination reason: Refutation
% 3.68/0.97
% 3.68/0.97 % (32333)Memory used [KB]: 5648
% 3.68/0.97 % (32333)Time elapsed: 0.282 s
% 3.68/0.97 % (32333)Instructions burned: 730 (million)
% 3.68/0.97 % (32333)------------------------------
% 3.68/0.97 % (32333)------------------------------
% 3.68/0.97 % (32320)Success in time 0.617 s
%------------------------------------------------------------------------------