TSTP Solution File: PRO002+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO002+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Tue May 21 02:23:17 EDT 2024
% Result : Theorem 34.43s 5.40s
% Output : Refutation 34.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 58
% Syntax : Number of formulae : 344 ( 100 unt; 0 def)
% Number of atoms : 1017 ( 55 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1034 ( 361 ~; 317 |; 268 &)
% ( 25 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 1 prp; 0-5 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-3 aty)
% Number of variables : 779 ( 658 !; 121 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124551,plain,
$false,
inference(subsumption_resolution,[],[f124402,f655]) ).
fof(f655,plain,
! [X2,X3,X0,X1] : ~ send_message(tptp3,X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f418,f412]) ).
fof(f412,plain,
! [X2,X3,X0,X1,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| sP8(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4] :
( sP8(X0)
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(definition_folding,[],[f198,f223]) ).
fof(f223,plain,
! [X0] :
( ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4] :
( ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 )
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( send_message(X0,X1,X2,X3,X4)
=> ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 ) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X169,X170,X171,X172,X173] :
( send_message(X169,X170,X171,X172,X173)
=> ( tptp2 != X169
& tptp3 != X169
& tptp4 != X169 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
fof(f418,plain,
~ sP8(tptp3),
inference(equality_resolution,[],[f410]) ).
fof(f410,plain,
! [X0] :
( tptp3 != X0
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f223]) ).
fof(f124402,plain,
send_message(tptp3,sK31(sK11,tptp0,sK10),sK32(sK11,tptp0,sK10),sK10,tptp0),
inference(superposition,[],[f23295,f124267]) ).
fof(f124267,plain,
tptp3 = sK12(sK18(sK9,sK11)),
inference(subsumption_resolution,[],[f124123,f654]) ).
fof(f654,plain,
! [X2,X3,X0,X1] : ~ send_message(tptp2,X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f417,f412]) ).
fof(f417,plain,
~ sP8(tptp2),
inference(equality_resolution,[],[f411]) ).
fof(f411,plain,
! [X0] :
( tptp2 != X0
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f124123,plain,
( send_message(tptp2,sK31(sK11,tptp0,sK10),sK32(sK11,tptp0,sK10),sK10,tptp0)
| tptp3 = sK12(sK18(sK9,sK11)) ),
inference(superposition,[],[f23295,f123875]) ).
fof(f123875,plain,
( tptp2 = sK12(sK18(sK9,sK11))
| tptp3 = sK12(sK18(sK9,sK11)) ),
inference(resolution,[],[f123810,f1318]) ).
fof(f1318,plain,
! [X0] :
( ~ occurrence_of(sK18(sK9,sK11),X0)
| sK12(sK18(sK9,sK11)) = X0 ),
inference(resolution,[],[f1282,f380]) ).
fof(f380,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X6)
& occurrence_of(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f1282,plain,
occurrence_of(sK18(sK9,sK11),sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f1277,f305]) ).
fof(f305,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ( occurrence_of(X0,sK12(X0))
& activity(sK12(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f129,f227]) ).
fof(f227,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
=> ( occurrence_of(X0,sK12(X0))
& activity(sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
( activity_occurrence(X2)
=> ? [X3] :
( occurrence_of(X2,X3)
& activity(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f1277,plain,
activity_occurrence(sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f1269,f318]) ).
fof(f318,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity_occurrence(X0) )
| ~ subactivity_occurrence(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
=> ( activity_occurrence(X1)
& activity_occurrence(X0) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X67,X68] :
( subactivity_occurrence(X67,X68)
=> ( activity_occurrence(X68)
& activity_occurrence(X67) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(f1269,plain,
subactivity_occurrence(sK18(sK9,sK11),sK11),
inference(forward_demodulation,[],[f1257,f687]) ).
fof(f687,plain,
sK9 = sK12(sK11),
inference(unit_resulting_resolution,[],[f290,f456,f380]) ).
fof(f456,plain,
occurrence_of(sK11,sK12(sK11)),
inference(unit_resulting_resolution,[],[f448,f305]) ).
fof(f448,plain,
activity_occurrence(sK11),
inference(unit_resulting_resolution,[],[f290,f321]) ).
fof(f321,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity(X0) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f290,plain,
occurrence_of(sK11,sK9),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( occurrence_of(sK11,sK9)
& tptp1(sK9,tptp0,sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f72,f225]) ).
fof(f225,plain,
( ? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) )
=> ( occurrence_of(sK11,sK9)
& tptp1(sK9,tptp0,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
~ ~ ? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) ),
inference(rectify,[],[f70]) ).
fof(f70,negated_conjecture,
~ ~ ? [X193,X194,X195] :
( occurrence_of(X195,X193)
& tptp1(X193,tptp0,X194) ),
inference(negated_conjecture,[],[f69]) ).
fof(f69,conjecture,
~ ? [X193,X194,X195] :
( occurrence_of(X195,X193)
& tptp1(X193,tptp0,X194) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f1257,plain,
subactivity_occurrence(sK18(sK12(sK11),sK11),sK11),
inference(unit_resulting_resolution,[],[f456,f511,f331]) ).
fof(f331,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| atomic(X0)
| subactivity_occurrence(sK18(X0,X1),X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( ( subactivity_occurrence(sK18(X0,X1),X1)
& root(sK18(X0,X1),X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f147,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
=> ( subactivity_occurrence(sK18(X0,X1),X1)
& root(sK18(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( ~ atomic(X0)
& occurrence_of(X1,X0) )
=> ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X76,X77] :
( ( ~ atomic(X76)
& occurrence_of(X77,X76) )
=> ? [X78] :
( subactivity_occurrence(X78,X77)
& root(X78,X76) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(f511,plain,
~ atomic(sK12(sK11)),
inference(unit_resulting_resolution,[],[f456,f503,f323]) ).
fof(f323,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( arboreal(X16)
<=> atomic(X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f503,plain,
~ arboreal(sK11),
inference(unit_resulting_resolution,[],[f290,f494,f322]) ).
fof(f322,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ arboreal(X0)
| atomic(X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f494,plain,
~ atomic(sK9),
inference(unit_resulting_resolution,[],[f490,f354]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| ~ atomic(X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0,X1,X2] :
( ( root(X1,X0)
& ~ atomic(X0)
& ~ atomic(X2)
& activity(X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f262]) ).
fof(f262,plain,
! [X1,X2,X0] :
( ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0)
& activity(X0) )
| ~ sP2(X1,X2,X0) ),
inference(nnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X1,X2,X0] :
( ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0)
& activity(X0) )
| ~ sP2(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f490,plain,
sP2(tptp0,sK10,sK9),
inference(unit_resulting_resolution,[],[f289,f357]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2] :
( sP2(X1,X2,X0)
| ~ tptp1(X0,X1,X2) ),
inference(definition_folding,[],[f149,f211]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0)
& activity(X0) )
| ~ tptp1(X0,X1,X2) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0)
& activity(X0) ) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X180,X181,X182] :
( tptp1(X180,X181,X182)
=> ( root(X182,X181)
& ~ atomic(X181)
& ~ atomic(X180)
& activity(X180) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_65) ).
fof(f289,plain,
tptp1(sK9,tptp0,sK10),
inference(cnf_transformation,[],[f226]) ).
fof(f123810,plain,
( occurrence_of(sK18(sK9,sK11),tptp3)
| tptp2 = sK12(sK18(sK9,sK11)) ),
inference(resolution,[],[f123740,f1318]) ).
fof(f123740,plain,
( occurrence_of(sK18(sK9,sK11),tptp2)
| occurrence_of(sK18(sK9,sK11),tptp3) ),
inference(forward_demodulation,[],[f123712,f95913]) ).
fof(f95913,plain,
sK18(sK9,sK11) = sK14(sK16(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f88329,f90738,f90978,f88292,f88730,f437]) ).
fof(f437,plain,
! [X2,X0,X1,X4] :
( ~ sP42(X0,X2,X1)
| X2 = X4
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ occurrence_of(X1,X0)
| min_precedes(X2,X4,X0) ),
inference(general_splitting,[],[f414,f436_D]) ).
fof(f436,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X2,X0)
| ~ root_occ(X3,X1)
| sP42(X0,X2,X1) ),
inference(cnf_transformation,[],[f436_D]) ).
fof(f436_D,plain,
! [X1,X2,X0] :
( ! [X3] :
( ~ min_precedes(X3,X2,X0)
| ~ root_occ(X3,X1) )
<=> ~ sP42(X0,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP42])]) ).
fof(f414,plain,
! [X2,X3,X0,X1,X4] :
( min_precedes(X2,X4,X0)
| X2 = X4
| ~ min_precedes(X3,X2,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4] :
( min_precedes(X2,X4,X0)
| X2 = X4
| ~ min_precedes(X3,X2,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4] :
( min_precedes(X2,X4,X0)
| X2 = X4
| ~ min_precedes(X3,X2,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( X2 != X4
& min_precedes(X3,X2,X0)
& subactivity_occurrence(X2,X1)
& leaf_occ(X4,X1)
& root_occ(X3,X1)
& occurrence_of(X1,X0) )
=> min_precedes(X2,X4,X0) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X156,X157,X158,X159,X160] :
( ( X158 != X160
& min_precedes(X159,X158,X156)
& subactivity_occurrence(X158,X157)
& leaf_occ(X160,X157)
& root_occ(X159,X157)
& occurrence_of(X157,X156) )
=> min_precedes(X158,X160,X156) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
fof(f88730,plain,
leaf_occ(sK14(sK16(sK18(sK9,sK11),tptp0)),sK16(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f88347,f310]) ).
fof(f310,plain,
! [X0] :
( ~ sP0(X0)
| leaf_occ(sK14(X0),X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ( next_subocc(sK13(X0),sK14(X0),tptp0)
& leaf_occ(sK14(X0),X0)
& ( occurrence_of(sK14(X0),tptp2)
| occurrence_of(sK14(X0),tptp3) )
& root_occ(sK13(X0),X0)
& occurrence_of(sK13(X0),tptp4) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f229,f230]) ).
fof(f230,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
=> ( next_subocc(sK13(X0),sK14(X0),tptp0)
& leaf_occ(sK14(X0),X0)
& ( occurrence_of(sK14(X0),tptp2)
| occurrence_of(sK14(X0),tptp3) )
& root_occ(sK13(X0),X0)
& occurrence_of(sK13(X0),tptp4) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f88347,plain,
sP0(sK16(sK18(sK9,sK11),tptp0)),
inference(superposition,[],[f87305,f88102]) ).
fof(f88102,plain,
sK18(sK9,sK11) = sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28387,f28385,f29226,f28861,f85671,f437]) ).
fof(f85671,plain,
~ min_precedes(sK18(sK9,sK11),sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f28259,f85657,f382]) ).
fof(f382,plain,
! [X2,X0,X1,X4] :
( ~ sP5(X0,X1,X2)
| ~ min_precedes(X2,X4,X0)
| ~ min_precedes(X4,X1,X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ( min_precedes(sK28(X0,X1,X2),X1,X0)
& min_precedes(X2,sK28(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) )
| ~ sP5(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f276,f277]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
=> ( min_precedes(sK28(X0,X1,X2),X1,X0)
& min_precedes(X2,sK28(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
! [X0,X1,X2] :
( ( sP5(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) )
| ~ sP5(X0,X1,X2) ) ),
inference(rectify,[],[f275]) ).
fof(f275,plain,
! [X2,X1,X0] :
( ( sP5(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) )
| ~ sP5(X2,X1,X0) ) ),
inference(flattening,[],[f274]) ).
fof(f274,plain,
! [X2,X1,X0] :
( ( sP5(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) )
| ~ sP5(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X2,X1,X0] :
( sP5(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,[sP5])]) ).
fof(f85657,plain,
sP5(tptp0,sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),sK10),
inference(forward_demodulation,[],[f85646,f43843]) ).
fof(f43843,plain,
sK10 = sK13(sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28730,f28709,f28862,f427]) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ root_occ(X1,X2)
| X0 = X1
| ~ root_occ(X0,X2)
| ~ sP37(X2) ),
inference(general_splitting,[],[f390,f426_D]) ).
fof(f426,plain,
! [X2,X3] :
( ~ occurrence_of(X2,X3)
| sP37(X2) ),
inference(cnf_transformation,[],[f426_D]) ).
fof(f426_D,plain,
! [X2] :
( ! [X3] : ~ occurrence_of(X2,X3)
<=> ~ sP37(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).
fof(f390,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X105,X106,X107,X108] :
( ( root_occ(X106,X107)
& root_occ(X105,X107)
& occurrence_of(X107,X108) )
=> X105 = X106 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f28862,plain,
root_occ(sK13(sK25(sK18(sK9,sK11),sK10,tptp0)),sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28693,f308]) ).
fof(f308,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK13(X0),X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f28693,plain,
sP0(sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28387,f312]) ).
fof(f312,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f131,f207]) ).
fof(f131,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163] :
( next_subocc(X162,X163,tptp0)
& leaf_occ(X163,X161)
& ( occurrence_of(X163,tptp2)
| occurrence_of(X163,tptp3) )
& root_occ(X162,X161)
& occurrence_of(X162,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(f28709,plain,
root_occ(sK10,sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f492,f28386,f28387,f348]) ).
fof(f348,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( root(X0,sK22(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK22(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f255,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( root(X0,sK22(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK22(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f255,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,[],[f254]) ).
fof(f254,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,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X99,X100] :
( root_occ(X99,X100)
<=> ? [X101] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(f28386,plain,
subactivity_occurrence(sK10,sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28283,f367]) ).
fof(f367,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| subactivity_occurrence(X1,sK25(X0,X1,X2)) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X0,sK25(X0,X1,X2))
& subactivity_occurrence(X1,sK25(X0,X1,X2))
& occurrence_of(sK25(X0,X1,X2),X2) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f267,f268]) ).
fof(f268,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
=> ( subactivity_occurrence(X0,sK25(X0,X1,X2))
& subactivity_occurrence(X1,sK25(X0,X1,X2))
& occurrence_of(sK25(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f267,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f266]) ).
fof(f266,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP3(X2,X1,X0) ),
inference(nnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP3(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f28283,plain,
sP3(sK18(sK9,sK11),sK10,tptp0),
inference(unit_resulting_resolution,[],[f28259,f369]) ).
fof(f369,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP3(X2,X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1,X2] :
( sP3(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f156,f213]) ).
fof(f156,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,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X69,X70,X71] :
( min_precedes(X70,X71,X69)
=> ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(f492,plain,
root(sK10,tptp0),
inference(unit_resulting_resolution,[],[f490,f356]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| root(X1,X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f28730,plain,
sP37(sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28387,f426]) ).
fof(f85646,plain,
sP5(tptp0,sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),sK13(sK25(sK18(sK9,sK11),sK10,tptp0))),
inference(unit_resulting_resolution,[],[f28860,f385]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| sP5(X2,X1,X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ sP5(X2,X1,X0) )
& ( sP5(X2,X1,X0)
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> sP5(X2,X1,X0) ),
inference(definition_folding,[],[f170,f217]) ).
fof(f170,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,[],[f108]) ).
fof(f108,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,[],[f23]) ).
fof(f23,axiom,
! [X60,X61,X62] :
( next_subocc(X60,X61,X62)
<=> ( ~ ? [X63] :
( min_precedes(X63,X61,X62)
& min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f28860,plain,
next_subocc(sK13(sK25(sK18(sK9,sK11),sK10,tptp0)),sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f28693,f311]) ).
fof(f311,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK13(X0),sK14(X0),tptp0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f28259,plain,
min_precedes(sK10,sK18(sK9,sK11),tptp0),
inference(unit_resulting_resolution,[],[f1282,f28225,f440]) ).
fof(f440,plain,
! [X3,X0,X4,X5] :
( ~ occurrence_of(X5,X0)
| min_precedes(X3,X5,X4)
| sP44(X4,X0,X3) ),
inference(cnf_transformation,[],[f440_D]) ).
fof(f440_D,plain,
! [X3,X0,X4] :
( ! [X5] :
( ~ occurrence_of(X5,X0)
| min_precedes(X3,X5,X4) )
<=> ~ sP44(X4,X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP44])]) ).
fof(f28225,plain,
~ sP44(tptp0,sK12(sK18(sK9,sK11)),sK10),
inference(unit_resulting_resolution,[],[f23295,f441]) ).
fof(f441,plain,
! [X2,X3,X0,X1,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| ~ sP44(X4,X0,X3) ),
inference(general_splitting,[],[f416,f440_D]) ).
fof(f416,plain,
! [X2,X3,X0,X1,X4,X5] :
( min_precedes(X3,X5,X4)
| ~ occurrence_of(X5,X0)
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( min_precedes(X3,X5,X4)
| ~ occurrence_of(X5,X0)
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4,X5] :
( min_precedes(X3,X5,X4)
| ~ occurrence_of(X5,X0)
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( occurrence_of(X5,X0)
& send_message(X0,X1,X2,X3,X4) )
=> min_precedes(X3,X5,X4) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X174,X175,X176,X177,X178,X179] :
( ( occurrence_of(X179,X174)
& send_message(X174,X175,X176,X177,X178) )
=> min_precedes(X177,X179,X178) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_64) ).
fof(f28861,plain,
leaf_occ(sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28693,f310]) ).
fof(f29226,plain,
sP42(tptp0,sK18(sK9,sK11),sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28259,f28709,f436]) ).
fof(f28385,plain,
subactivity_occurrence(sK18(sK9,sK11),sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28283,f368]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| subactivity_occurrence(X0,sK25(X0,X1,X2)) ),
inference(cnf_transformation,[],[f269]) ).
fof(f28387,plain,
occurrence_of(sK25(sK18(sK9,sK11),sK10,tptp0),tptp0),
inference(unit_resulting_resolution,[],[f28283,f366]) ).
fof(f366,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| occurrence_of(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f87305,plain,
sP0(sK16(sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),tptp0)),
inference(unit_resulting_resolution,[],[f85883,f312]) ).
fof(f85883,plain,
occurrence_of(sK16(sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f291,f85780,f325]) ).
fof(f325,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| occurrence_of(sK16(X0,X1),X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ( leaf_occ(X0,sK16(X0,X1))
& occurrence_of(sK16(X0,X1),X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f141,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
=> ( leaf_occ(X0,sK16(X0,X1))
& occurrence_of(sK16(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( ~ atomic(X1)
& leaf(X0,X1) )
=> ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X145,X146] :
( ( ~ atomic(X146)
& leaf(X145,X146) )
=> ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f85780,plain,
leaf(sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f85715,f337]) ).
fof(f337,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f148,f209]) ).
fof(f209,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(f148,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X56,X57] :
( leaf(X56,X57)
<=> ( ~ ? [X59] : min_precedes(X56,X59,X57)
& ( ? [X58] : min_precedes(X58,X56,X57)
| root(X56,X57) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f85715,plain,
sP1(tptp0,sK14(sK25(sK18(sK9,sK11),sK10,tptp0))),
inference(unit_resulting_resolution,[],[f43649,f85673,f335]) ).
fof(f335,plain,
! [X3,X0,X1] :
( ~ min_precedes(X3,X1,X0)
| min_precedes(X1,sK19(X0,X1),X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| min_precedes(X1,sK19(X0,X1),X0)
| ( ! [X3] : ~ min_precedes(X3,X1,X0)
& ~ root(X1,X0) ) )
& ( ( ! [X4] : ~ min_precedes(X1,X4,X0)
& ( min_precedes(sK20(X0,X1),X1,X0)
| root(X1,X0) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f243,f245,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ? [X2] : min_precedes(X1,X2,X0)
=> min_precedes(X1,sK19(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
! [X0,X1] :
( ? [X5] : min_precedes(X5,X1,X0)
=> min_precedes(sK20(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f243,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,[],[f242]) ).
fof(f242,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,[],[f241]) ).
fof(f241,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,[],[f209]) ).
fof(f85673,plain,
min_precedes(sK10,sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f85657,f381]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| min_precedes(X2,X1,X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f43649,plain,
! [X0] : ~ min_precedes(sK14(sK25(sK18(sK9,sK11),sK10,tptp0)),X0,tptp0),
inference(unit_resulting_resolution,[],[f43647,f422]) ).
fof(f422,plain,
! [X2,X3,X1] :
( ~ min_precedes(X1,X3,X2)
| sP35(X2,X1) ),
inference(cnf_transformation,[],[f422_D]) ).
fof(f422_D,plain,
! [X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
<=> ~ sP35(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43647,plain,
~ sP35(tptp0,sK14(sK25(sK18(sK9,sK11),sK10,tptp0))),
inference(forward_demodulation,[],[f43638,f43448]) ).
fof(f43448,plain,
tptp0 = sK12(sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28387,f28689,f380]) ).
fof(f28689,plain,
occurrence_of(sK25(sK18(sK9,sK11),sK10,tptp0),sK12(sK25(sK18(sK9,sK11),sK10,tptp0))),
inference(unit_resulting_resolution,[],[f28639,f305]) ).
fof(f28639,plain,
activity_occurrence(sK25(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f28386,f319]) ).
fof(f319,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f43638,plain,
~ sP35(sK12(sK25(sK18(sK9,sK11),sK10,tptp0)),sK14(sK25(sK18(sK9,sK11),sK10,tptp0))),
inference(unit_resulting_resolution,[],[f28689,f28861,f423]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ sP35(X2,X1)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(general_splitting,[],[f379,f422_D]) ).
fof(f379,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( leaf_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X113,X114,X115] :
( ( leaf_occ(X114,X113)
& occurrence_of(X113,X115) )
=> ~ ? [X116] : min_precedes(X114,X116,X115) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
fof(f291,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(f88292,plain,
! [X0] : ~ min_precedes(sK18(sK9,sK11),X0,tptp0),
inference(superposition,[],[f43649,f88102]) ).
fof(f90978,plain,
sP42(tptp0,sK18(sK9,sK11),sK16(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f28259,f90875,f436]) ).
fof(f90875,plain,
root_occ(sK10,sK16(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f492,f88329,f90862,f348]) ).
fof(f90862,plain,
subactivity_occurrence(sK10,sK16(sK18(sK9,sK11),tptp0)),
inference(forward_demodulation,[],[f90837,f31158]) ).
fof(f31158,plain,
sK10 = sK24(sK18(sK9,sK11),tptp0),
inference(unit_resulting_resolution,[],[f28320,f30897,f30925,f31136,f376]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ earlier(X2,X1)
| earlier(X0,X2)
| earlier(X2,X0)
| X0 = X2
| ~ earlier(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2] :
( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0)
| ~ earlier(X2,X1)
| ~ earlier(X0,X1) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2] :
( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0)
| ~ earlier(X2,X1)
| ~ earlier(X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( earlier(X2,X1)
& earlier(X0,X1) )
=> ( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X13,X14,X15] :
( ( earlier(X15,X14)
& earlier(X13,X14) )
=> ( X13 = X15
| earlier(X13,X15)
| earlier(X15,X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f31136,plain,
earlier(sK24(sK18(sK9,sK11),tptp0),sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f30864,f338]) ).
fof(f338,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| earlier(X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( precedes(X0,X1)
<=> ( legal(X1)
& earlier(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X21,X22] :
( precedes(X21,X22)
<=> ( legal(X22)
& earlier(X21,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f30864,plain,
precedes(sK24(sK18(sK9,sK11),tptp0),sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f28282,f363]) ).
fof(f363,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X38,X39,X40] :
( min_precedes(X38,X39,X40)
=> precedes(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(f28282,plain,
min_precedes(sK24(sK18(sK9,sK11),tptp0),sK18(sK9,sK11),tptp0),
inference(unit_resulting_resolution,[],[f28259,f365]) ).
fof(f365,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK24(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0,X1,X2] :
( ( min_precedes(sK24(X1,X2),X1,X2)
& root(sK24(X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f155,f264]) ).
fof(f264,plain,
! [X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
=> ( min_precedes(sK24(X1,X2),X1,X2)
& root(sK24(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X31,X32,X33] :
( min_precedes(X31,X32,X33)
=> ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f30925,plain,
~ earlier(sK10,sK24(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f28556,f30871,f340]) ).
fof(f340,plain,
! [X0,X1] :
( ~ earlier(X0,X1)
| ~ legal(X1)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f30871,plain,
~ precedes(sK10,sK24(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f28259,f28561,f28282,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X2,X0,X3)
| ~ precedes(X1,X2)
| min_precedes(X1,X2,X3)
| ~ min_precedes(X1,X0,X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( min_precedes(X1,X2,X3)
| ~ precedes(X1,X2)
| ~ min_precedes(X2,X0,X3)
| ~ min_precedes(X1,X0,X3) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( min_precedes(X1,X2,X3)
| ~ precedes(X1,X2)
| ~ min_precedes(X2,X0,X3)
| ~ min_precedes(X1,X0,X3) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ( precedes(X1,X2)
& min_precedes(X2,X0,X3)
& min_precedes(X1,X0,X3) )
=> min_precedes(X1,X2,X3) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X52,X53,X54,X55] :
( ( precedes(X53,X54)
& min_precedes(X54,X52,X55)
& min_precedes(X53,X52,X55) )
=> min_precedes(X53,X54,X55) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_20) ).
fof(f28561,plain,
! [X0] : ~ min_precedes(X0,sK24(sK18(sK9,sK11),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f28281,f362]) ).
fof(f362,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X35,X36,X37] :
( min_precedes(X35,X36,X37)
=> ~ root(X36,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f28281,plain,
root(sK24(sK18(sK9,sK11),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f28259,f364]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK24(X1,X2),X2) ),
inference(cnf_transformation,[],[f265]) ).
fof(f28556,plain,
legal(sK24(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f28281,f315]) ).
fof(f315,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X41,X42] :
( root(X41,X42)
=> legal(X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(f30897,plain,
~ earlier(sK24(sK18(sK9,sK11),tptp0),sK10),
inference(unit_resulting_resolution,[],[f521,f30869,f340]) ).
fof(f30869,plain,
~ precedes(sK24(sK18(sK9,sK11),tptp0),sK10),
inference(unit_resulting_resolution,[],[f28259,f520,f28282,f403]) ).
fof(f520,plain,
! [X0] : ~ min_precedes(X0,sK10,tptp0),
inference(unit_resulting_resolution,[],[f492,f362]) ).
fof(f521,plain,
legal(sK10),
inference(unit_resulting_resolution,[],[f492,f315]) ).
fof(f28320,plain,
earlier(sK10,sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f28280,f338]) ).
fof(f28280,plain,
precedes(sK10,sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f28259,f363]) ).
fof(f90837,plain,
subactivity_occurrence(sK24(sK18(sK9,sK11),tptp0),sK16(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f28282,f88329,f90738,f401]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| subactivity_occurrence(X0,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(f90738,plain,
subactivity_occurrence(sK18(sK9,sK11),sK16(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f88385,f342]) ).
fof(f342,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( leaf(X0,sK21(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK21(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f251,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( leaf(X0,sK21(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f251,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,[],[f250]) ).
fof(f250,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,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f88385,plain,
leaf_occ(sK18(sK9,sK11),sK16(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f291,f88321,f326]) ).
fof(f326,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| leaf_occ(X0,sK16(X0,X1)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f88321,plain,
leaf(sK18(sK9,sK11),tptp0),
inference(superposition,[],[f85780,f88102]) ).
fof(f88329,plain,
occurrence_of(sK16(sK18(sK9,sK11),tptp0),tptp0),
inference(superposition,[],[f85883,f88102]) ).
fof(f123712,plain,
( occurrence_of(sK18(sK9,sK11),tptp2)
| occurrence_of(sK14(sK16(sK18(sK9,sK11),tptp0)),tptp3) ),
inference(superposition,[],[f88733,f95913]) ).
fof(f88733,plain,
( occurrence_of(sK14(sK16(sK18(sK9,sK11),tptp0)),tptp2)
| occurrence_of(sK14(sK16(sK18(sK9,sK11),tptp0)),tptp3) ),
inference(resolution,[],[f88347,f309]) ).
fof(f309,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK14(X0),tptp3)
| occurrence_of(sK14(X0),tptp2) ),
inference(cnf_transformation,[],[f231]) ).
fof(f23295,plain,
send_message(sK12(sK18(sK9,sK11)),sK31(sK11,tptp0,sK10),sK32(sK11,tptp0,sK10),sK10,tptp0),
inference(forward_demodulation,[],[f23271,f10200]) ).
fof(f10200,plain,
sK12(sK18(sK9,sK11)) = sK30(sK11,tptp0,sK10),
inference(forward_demodulation,[],[f10130,f3476]) ).
fof(f3476,plain,
sK12(sK18(sK9,sK11)) = sK23(sK18(sK9,sK11),sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f1282,f2034,f380]) ).
fof(f2034,plain,
occurrence_of(sK18(sK9,sK11),sK23(sK18(sK9,sK11),sK12(sK18(sK9,sK11)))),
inference(unit_resulting_resolution,[],[f1847,f351]) ).
fof(f351,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| occurrence_of(X0,sK23(X0,X1)) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ occurrence_of(X0,X2)
| ~ atomic(X2)
| ~ subactivity(X1,X2) ) )
& ( ( occurrence_of(X0,sK23(X0,X1))
& atomic(sK23(X0,X1))
& subactivity(X1,sK23(X0,X1)) )
| ~ atocc(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f259,f260]) ).
fof(f260,plain,
! [X0,X1] :
( ? [X3] :
( occurrence_of(X0,X3)
& atomic(X3)
& subactivity(X1,X3) )
=> ( occurrence_of(X0,sK23(X0,X1))
& atomic(sK23(X0,X1))
& subactivity(X1,sK23(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ occurrence_of(X0,X2)
| ~ atomic(X2)
| ~ subactivity(X1,X2) ) )
& ( ? [X3] :
( occurrence_of(X0,X3)
& atomic(X3)
& subactivity(X1,X3) )
| ~ atocc(X0,X1) ) ),
inference(rectify,[],[f258]) ).
fof(f258,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ occurrence_of(X0,X2)
| ~ atomic(X2)
| ~ subactivity(X1,X2) ) )
& ( ? [X2] :
( occurrence_of(X0,X2)
& atomic(X2)
& subactivity(X1,X2) )
| ~ atocc(X0,X1) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( atocc(X0,X1)
<=> ? [X2] :
( occurrence_of(X0,X2)
& atomic(X2)
& subactivity(X1,X2) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X64,X65] :
( atocc(X64,X65)
<=> ? [X66] :
( occurrence_of(X64,X66)
& atomic(X66)
& subactivity(X65,X66) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
fof(f1847,plain,
atocc(sK18(sK9,sK11),sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f1306,f1282,f1286,f352]) ).
fof(f352,plain,
! [X2,X0,X1] :
( ~ subactivity(X1,X2)
| ~ occurrence_of(X0,X2)
| ~ atomic(X2)
| atocc(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1286,plain,
subactivity(sK12(sK18(sK9,sK11)),sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f1283,f306]) ).
fof(f306,plain,
! [X0] :
( ~ activity(X0)
| subactivity(X0,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( subactivity(X0,X0)
| ~ activity(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( activity(X0)
=> subactivity(X0,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X7] :
( activity(X7)
=> subactivity(X7,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f1283,plain,
activity(sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f1277,f304]) ).
fof(f304,plain,
! [X0] :
( ~ activity_occurrence(X0)
| activity(sK12(X0)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f1306,plain,
atomic(sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f1090,f1282,f322]) ).
fof(f1090,plain,
arboreal(sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f1082,f303]) ).
fof(f303,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X18] :
( legal(X18)
=> arboreal(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f1082,plain,
legal(sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f1070,f315]) ).
fof(f1070,plain,
root(sK18(sK9,sK11),sK9),
inference(forward_demodulation,[],[f1060,f687]) ).
fof(f1060,plain,
root(sK18(sK12(sK11),sK11),sK12(sK11)),
inference(unit_resulting_resolution,[],[f456,f511,f330]) ).
fof(f330,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| atomic(X0)
| root(sK18(X0,X1),X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f10130,plain,
sK23(sK18(sK9,sK11),sK12(sK18(sK9,sK11))) = sK30(sK11,tptp0,sK10),
inference(unit_resulting_resolution,[],[f2034,f10117,f380]) ).
fof(f10117,plain,
occurrence_of(sK18(sK9,sK11),sK30(sK11,tptp0,sK10)),
inference(forward_demodulation,[],[f10108,f6169]) ).
fof(f6169,plain,
sK18(sK9,sK11) = sK33(sK11,tptp0,sK10),
inference(unit_resulting_resolution,[],[f454,f2244,f6119,f427]) ).
fof(f6119,plain,
root_occ(sK18(sK9,sK11),sK11),
inference(unit_resulting_resolution,[],[f290,f1070,f1269,f348]) ).
fof(f2244,plain,
root_occ(sK33(sK11,tptp0,sK10),sK11),
inference(unit_resulting_resolution,[],[f2240,f398]) ).
fof(f398,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| root_occ(sK33(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0,X1,X2] :
( ( root_occ(sK33(X0,X1,X2),X0)
& occurrence_of(sK33(X0,X1,X2),sK30(X0,X1,X2))
& send_message(sK30(X0,X1,X2),sK31(X0,X1,X2),sK32(X0,X1,X2),X2,X1) )
| ~ sP6(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33])],[f283,f284]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( root_occ(X6,X0)
& occurrence_of(X6,X3)
& send_message(X3,X4,X5,X2,X1) )
=> ( root_occ(sK33(X0,X1,X2),X0)
& occurrence_of(sK33(X0,X1,X2),sK30(X0,X1,X2))
& send_message(sK30(X0,X1,X2),sK31(X0,X1,X2),sK32(X0,X1,X2),X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f283,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( root_occ(X6,X0)
& occurrence_of(X6,X3)
& send_message(X3,X4,X5,X2,X1) )
| ~ sP6(X0,X1,X2) ),
inference(rectify,[],[f282]) ).
fof(f282,plain,
! [X3,X1,X2] :
( ? [X4,X5,X6,X7] :
( root_occ(X7,X3)
& occurrence_of(X7,X4)
& send_message(X4,X5,X6,X2,X1) )
| ~ sP6(X3,X1,X2) ),
inference(nnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X3,X1,X2] :
( ? [X4,X5,X6,X7] :
( root_occ(X7,X3)
& occurrence_of(X7,X4)
& send_message(X4,X5,X6,X2,X1) )
| ~ sP6(X3,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2240,plain,
sP6(sK11,tptp0,sK10),
inference(unit_resulting_resolution,[],[f290,f289,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0)
| sP6(X3,X1,X2) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( sP6(X3,X1,X2)
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(definition_folding,[],[f188,f219]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( root_occ(X7,X3)
& occurrence_of(X7,X4)
& send_message(X4,X5,X6,X2,X1) )
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( root_occ(X7,X3)
& occurrence_of(X7,X4)
& send_message(X4,X5,X6,X2,X1) )
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ( occurrence_of(X3,X0)
& tptp1(X0,X1,X2) )
=> ? [X4,X5,X6,X7] :
( root_occ(X7,X3)
& occurrence_of(X7,X4)
& send_message(X4,X5,X6,X2,X1) ) ),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X183,X184,X185,X186] :
( ( occurrence_of(X186,X183)
& tptp1(X183,X184,X185) )
=> ? [X187,X188,X189,X190] :
( root_occ(X190,X186)
& occurrence_of(X190,X187)
& send_message(X187,X188,X189,X185,X184) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_66) ).
fof(f454,plain,
sP37(sK11),
inference(unit_resulting_resolution,[],[f290,f426]) ).
fof(f10108,plain,
occurrence_of(sK33(sK11,tptp0,sK10),sK30(sK11,tptp0,sK10)),
inference(unit_resulting_resolution,[],[f2240,f397]) ).
fof(f397,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| occurrence_of(sK33(X0,X1,X2),sK30(X0,X1,X2)) ),
inference(cnf_transformation,[],[f285]) ).
fof(f23271,plain,
send_message(sK30(sK11,tptp0,sK10),sK31(sK11,tptp0,sK10),sK32(sK11,tptp0,sK10),sK10,tptp0),
inference(unit_resulting_resolution,[],[f2240,f396]) ).
fof(f396,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| send_message(sK30(X0,X1,X2),sK31(X0,X1,X2),sK32(X0,X1,X2),X2,X1) ),
inference(cnf_transformation,[],[f285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PRO002+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n007.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun May 19 04:01:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (27464)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (27468)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (27471)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)
% 0.14/0.39 % (27470)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)
% 0.14/0.39 % (27465)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (27466)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (27467)WARNING: value z3 for option sas not known
% 0.14/0.40 Detected minimum model sizes of [4]
% 0.14/0.40 Detected maximum model sizes of [max]
% 0.14/0.40 Detected minimum model sizes of [4]
% 0.14/0.40 Detected maximum model sizes of [max]
% 0.14/0.40 % (27467)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)
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.21/0.42 % (27469)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)
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.54 TRYING [6]
% 1.30/0.57 TRYING [6]
% 2.62/0.81 TRYING [7]
% 3.51/0.90 TRYING [7]
% 7.48/1.48 TRYING [8]
% 7.48/1.49 Detected minimum model sizes of [4]
% 7.48/1.49 Detected maximum model sizes of [max]
% 7.48/1.50 TRYING [4]
% 7.74/1.53 TRYING [5]
% 7.85/1.56 TRYING [8]
% 7.85/1.60 TRYING [6]
% 9.83/1.86 TRYING [7]
% 13.97/2.49 TRYING [8]
% 18.21/3.04 TRYING [9]
% 19.55/3.21 TRYING [9]
% 26.17/4.14 TRYING [9]
% 34.43/5.39 % (27471)First to succeed.
% 34.43/5.40 % (27471)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27464"
% 34.43/5.40 % (27471)Refutation found. Thanks to Tanya!
% 34.43/5.40 % SZS status Theorem for theBenchmark
% 34.43/5.40 % SZS output start Proof for theBenchmark
% See solution above
% 34.43/5.40 % (27471)------------------------------
% 34.43/5.40 % (27471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 34.43/5.40 % (27471)Termination reason: Refutation
% 34.43/5.40
% 34.43/5.40 % (27471)Memory used [KB]: 15807
% 34.43/5.40 % (27471)Time elapsed: 5.006 s
% 34.43/5.40 % (27471)Instructions burned: 13820 (million)
% 34.43/5.40 % (27464)Success in time 5.016 s
%------------------------------------------------------------------------------