TSTP Solution File: PRO001+4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO001+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:47:29 EDT 2024
% Result : Theorem 3.72s 0.92s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 55
% Syntax : Number of formulae : 320 ( 87 unt; 0 def)
% Number of atoms : 972 ( 54 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 998 ( 346 ~; 300 |; 274 &)
% ( 18 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-5 aty)
% Number of functors : 25 ( 25 usr; 7 con; 0-5 aty)
% Number of variables : 835 ( 703 !; 132 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37419,plain,
$false,
inference(subsumption_resolution,[],[f37399,f496]) ).
fof(f496,plain,
! [X2,X3,X0,X1] : ~ send_message(tptp3,X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f353,f340]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| sP7(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4] :
( sP7(X0)
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(definition_folding,[],[f156,f179]) ).
fof(f179,plain,
! [X0] :
( ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4] :
( ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 )
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4] :
( send_message(X0,X1,X2,X3,X4)
=> ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X109,X110,X111,X112,X113] :
( send_message(X109,X110,X111,X112,X113)
=> ( tptp2 != X109
& tptp3 != X109
& tptp4 != X109 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(f353,plain,
~ sP7(tptp3),
inference(equality_resolution,[],[f338]) ).
fof(f338,plain,
! [X0] :
( tptp3 != X0
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f179]) ).
fof(f37399,plain,
send_message(tptp3,sK28(sK12,tptp0,sK11),sK29(sK12,tptp0,sK11),sK11,tptp0),
inference(superposition,[],[f28539,f37377]) ).
fof(f37377,plain,
tptp3 = sK13(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11))),
inference(subsumption_resolution,[],[f37357,f495]) ).
fof(f495,plain,
! [X2,X3,X0,X1] : ~ send_message(tptp2,X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f352,f340]) ).
fof(f352,plain,
~ sP7(tptp2),
inference(equality_resolution,[],[f339]) ).
fof(f339,plain,
! [X0] :
( tptp2 != X0
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f37357,plain,
( send_message(tptp2,sK28(sK12,tptp0,sK11),sK29(sK12,tptp0,sK11),sK11,tptp0)
| tptp3 = sK13(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11))) ),
inference(superposition,[],[f28539,f37326]) ).
fof(f37326,plain,
( tptp2 = sK13(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)))
| tptp3 = sK13(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11))) ),
inference(resolution,[],[f37314,f16731]) ).
fof(f16731,plain,
! [X0] :
( ~ occurrence_of(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),X0)
| sK13(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11))) = X0 ),
inference(resolution,[],[f3676,f315]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,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',sos_08) ).
fof(f3676,plain,
occurrence_of(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK13(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)))),
inference(unit_resulting_resolution,[],[f3672,f259]) ).
fof(f259,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( occurrence_of(X0,sK13(X0))
| ~ activity_occurrence(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f112,f187]) ).
fof(f187,plain,
! [X0] :
( ? [X1] : occurrence_of(X0,X1)
=> occurrence_of(X0,sK13(X0)) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ? [X1] : occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] : occurrence_of(X0,X1) ),
inference(pure_predicate_removal,[],[f61]) ).
fof(f61,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',sos_12) ).
fof(f3672,plain,
activity_occurrence(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11))),
inference(unit_resulting_resolution,[],[f3442,f268]) ).
fof(f268,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity_occurrence(X0) )
| ~ subactivity_occurrence(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,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',sos_11) ).
fof(f3442,plain,
subactivity_occurrence(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK30(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f1366,f3431,f278]) ).
fof(f278,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| atomic(X0)
| subactivity_occurrence(sK18(X0,X1),X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,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])],[f123,f197]) ).
fof(f197,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(f123,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( ~ atomic(X0)
& occurrence_of(X1,X0) )
=> ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(f3431,plain,
~ atomic(sK27(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f3418,f341]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| ~ atomic(X4) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2,X3,X4] :
( ( root(X1,X0)
& root(X3,X2)
& ~ atomic(X4) )
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f239]) ).
fof(f239,plain,
! [X4,X3,X2,X1,X0] :
( ( root(X3,X4)
& root(X1,X2)
& ~ atomic(X0) )
| ~ sP8(X4,X3,X2,X1,X0) ),
inference(nnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X4,X3,X2,X1,X0] :
( ( root(X3,X4)
& root(X1,X2)
& ~ atomic(X0) )
| ~ sP8(X4,X3,X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f3418,plain,
sP8(tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11),sK27(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f3403,f344]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X4] :
( ~ transmit_message(X0,X1,X2,X3,X4)
| sP8(X4,X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4] :
( sP8(X4,X3,X2,X1,X0)
| ~ transmit_message(X0,X1,X2,X3,X4) ),
inference(definition_folding,[],[f157,f181]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ( root(X3,X4)
& root(X1,X2)
& ~ atomic(X0) )
| ~ transmit_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4] :
( transmit_message(X0,X1,X2,X3,X4)
=> ( root(X3,X4)
& root(X1,X2)
& ~ atomic(X0) ) ),
inference(pure_predicate_removal,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4] :
( transmit_message(X0,X1,X2,X3,X4)
=> ( root(X3,X4)
& root(X1,X2)
& ~ atomic(X0)
& activity(X0) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X120,X121,X122,X123,X124] :
( transmit_message(X120,X121,X122,X123,X124)
=> ( root(X123,X124)
& root(X121,X122)
& ~ atomic(X120)
& activity(X120) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(f3403,plain,
transmit_message(sK27(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11),sK29(sK12,tptp0,sK11),sK11,tptp0),
inference(unit_resulting_resolution,[],[f647,f327]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| transmit_message(sK27(X0,X1,X2),sK28(X0,X1,X2),sK29(X0,X1,X2),X2,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(sK30(X0,X1,X2),X0)
& occurrence_of(sK30(X0,X1,X2),sK27(X0,X1,X2))
& transmit_message(sK27(X0,X1,X2),sK28(X0,X1,X2),sK29(X0,X1,X2),X2,X1) )
| ~ sP5(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30])],[f233,f234]) ).
fof(f234,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( subactivity_occurrence(X6,X0)
& occurrence_of(X6,X3)
& transmit_message(X3,X4,X5,X2,X1) )
=> ( subactivity_occurrence(sK30(X0,X1,X2),X0)
& occurrence_of(sK30(X0,X1,X2),sK27(X0,X1,X2))
& transmit_message(sK27(X0,X1,X2),sK28(X0,X1,X2),sK29(X0,X1,X2),X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( subactivity_occurrence(X6,X0)
& occurrence_of(X6,X3)
& transmit_message(X3,X4,X5,X2,X1) )
| ~ sP5(X0,X1,X2) ),
inference(rectify,[],[f232]) ).
fof(f232,plain,
! [X3,X1,X2] :
( ? [X4,X5,X6,X7] :
( subactivity_occurrence(X7,X3)
& occurrence_of(X7,X4)
& transmit_message(X4,X5,X6,X2,X1) )
| ~ sP5(X3,X1,X2) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X3,X1,X2] :
( ? [X4,X5,X6,X7] :
( subactivity_occurrence(X7,X3)
& occurrence_of(X7,X4)
& transmit_message(X4,X5,X6,X2,X1) )
| ~ sP5(X3,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f647,plain,
sP5(sK12,tptp0,sK11),
inference(unit_resulting_resolution,[],[f246,f245,f330]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0)
| sP5(X3,X1,X2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( sP5(X3,X1,X2)
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(definition_folding,[],[f150,f175]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( subactivity_occurrence(X7,X3)
& occurrence_of(X7,X4)
& transmit_message(X4,X5,X6,X2,X1) )
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( subactivity_occurrence(X7,X3)
& occurrence_of(X7,X4)
& transmit_message(X4,X5,X6,X2,X1) )
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ( occurrence_of(X3,X0)
& tptp1(X0,X1,X2) )
=> ? [X4,X5,X6,X7] :
( subactivity_occurrence(X7,X3)
& occurrence_of(X7,X4)
& transmit_message(X4,X5,X6,X2,X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X147,X148,X149,X150] :
( ( occurrence_of(X150,X147)
& tptp1(X147,X148,X149) )
=> ? [X151,X152,X153,X154] :
( subactivity_occurrence(X154,X150)
& occurrence_of(X154,X151)
& transmit_message(X151,X152,X153,X149,X148) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_53) ).
fof(f245,plain,
tptp1(sK10,tptp0,sK11),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( occurrence_of(sK12,sK10)
& tptp1(sK10,tptp0,sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f59,f185]) ).
fof(f185,plain,
( ? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) )
=> ( occurrence_of(sK12,sK10)
& tptp1(sK10,tptp0,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
~ ~ ? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) ),
inference(rectify,[],[f57]) ).
fof(f57,negated_conjecture,
~ ~ ? [X157,X158,X159] :
( occurrence_of(X159,X157)
& tptp1(X157,tptp0,X158) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
~ ? [X157,X158,X159] :
( occurrence_of(X159,X157)
& tptp1(X157,tptp0,X158) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f246,plain,
occurrence_of(sK12,sK10),
inference(cnf_transformation,[],[f186]) ).
fof(f1366,plain,
occurrence_of(sK30(sK12,tptp0,sK11),sK27(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f647,f328]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| occurrence_of(sK30(X0,X1,X2),sK27(X0,X1,X2)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f37314,plain,
( occurrence_of(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp3)
| tptp2 = sK13(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11))) ),
inference(resolution,[],[f37313,f16731]) ).
fof(f37313,plain,
( occurrence_of(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp2)
| occurrence_of(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp3) ),
inference(forward_demodulation,[],[f37301,f35225]) ).
fof(f35225,plain,
sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)) = sK15(sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(unit_resulting_resolution,[],[f33791,f34719,f34823,f33744,f34160,f364]) ).
fof(f364,plain,
! [X2,X0,X1,X4] :
( ~ sP37(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,[],[f345,f363_D]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X2,X0)
| ~ root_occ(X3,X1)
| sP37(X0,X2,X1) ),
inference(cnf_transformation,[],[f363_D]) ).
fof(f363_D,plain,
! [X1,X2,X0] :
( ! [X3] :
( ~ min_precedes(X3,X2,X0)
| ~ root_occ(X3,X1) )
<=> ~ sP37(X0,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).
fof(f345,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,[],[f159]) ).
fof(f159,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,[],[f158]) ).
fof(f158,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,[],[f98]) ).
fof(f98,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,[],[f2]) ).
fof(f2,axiom,
! [X3,X4,X5,X6,X7] :
( ( X5 != X7
& min_precedes(X6,X5,X3)
& subactivity_occurrence(X5,X4)
& leaf_occ(X7,X4)
& root_occ(X6,X4)
& occurrence_of(X4,X3) )
=> min_precedes(X5,X7,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f34160,plain,
leaf_occ(sK15(sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(unit_resulting_resolution,[],[f33812,f263]) ).
fof(f263,plain,
! [X0] :
( ~ sP0(X0)
| leaf_occ(sK15(X0),X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( next_subocc(sK14(X0),sK15(X0),tptp0)
& leaf_occ(sK15(X0),X0)
& ( occurrence_of(sK15(X0),tptp2)
| occurrence_of(sK15(X0),tptp3) )
& root_occ(sK14(X0),X0)
& occurrence_of(sK14(X0),tptp4) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f189,f190]) ).
fof(f190,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(sK14(X0),sK15(X0),tptp0)
& leaf_occ(sK15(X0),X0)
& ( occurrence_of(sK15(X0),tptp2)
| occurrence_of(sK15(X0),tptp3) )
& root_occ(sK14(X0),X0)
& occurrence_of(sK14(X0),tptp4) ) ),
introduced(choice_axiom,[]) ).
fof(f189,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,[],[f165]) ).
fof(f165,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(f33812,plain,
sP0(sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(superposition,[],[f32366,f33736]) ).
fof(f33736,plain,
sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)) = sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f7244,f7242,f7966,f7830,f32193,f364]) ).
fof(f32193,plain,
~ min_precedes(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f6540,f32183,f317]) ).
fof(f317,plain,
! [X2,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ min_precedes(X2,X4,X0)
| ~ min_precedes(X4,X1,X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ( min_precedes(sK26(X0,X1,X2),X1,X0)
& min_precedes(X2,sK26(X0,X1,X2),X0) )
| ~ min_precedes(X2,X1,X0) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X0)
| ~ min_precedes(X2,X4,X0) )
& min_precedes(X2,X1,X0) )
| ~ sP4(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f228,f229]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
=> ( min_precedes(sK26(X0,X1,X2),X1,X0)
& min_precedes(X2,sK26(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
| ~ min_precedes(X2,X1,X0) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X0)
| ~ min_precedes(X2,X4,X0) )
& min_precedes(X2,X1,X0) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f227]) ).
fof(f227,plain,
! [X2,X1,X0] :
( ( sP4(X2,X1,X0)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ sP4(X2,X1,X0) ) ),
inference(flattening,[],[f226]) ).
fof(f226,plain,
! [X2,X1,X0] :
( ( sP4(X2,X1,X0)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ sP4(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X2,X1,X0] :
( sP4(X2,X1,X0)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f32183,plain,
sP4(tptp0,sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),sK11),
inference(forward_demodulation,[],[f32176,f28927]) ).
fof(f28927,plain,
sK11 = sK14(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f7815,f7794,f7831,f362]) ).
fof(f362,plain,
! [X2,X0,X1] :
( ~ root_occ(X1,X2)
| X0 = X1
| ~ root_occ(X0,X2)
| ~ sP36(X2) ),
inference(general_splitting,[],[f325,f361_D]) ).
fof(f361,plain,
! [X2,X3] :
( ~ occurrence_of(X2,X3)
| sP36(X2) ),
inference(cnf_transformation,[],[f361_D]) ).
fof(f361_D,plain,
! [X2] :
( ! [X3] : ~ occurrence_of(X2,X3)
<=> ~ sP36(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X90,X91,X92,X93] :
( ( root_occ(X91,X92)
& root_occ(X90,X92)
& occurrence_of(X92,X93) )
=> X90 = X91 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(f7831,plain,
root_occ(sK14(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f7782,f261]) ).
fof(f261,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK14(X0),X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f7782,plain,
sP0(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f7244,f265]) ).
fof(f265,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f113,f165]) ).
fof(f113,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,[],[f62]) ).
fof(f62,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,[],[f33]) ).
fof(f33,axiom,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X103] :
( next_subocc(X102,X103,tptp0)
& leaf_occ(X103,X101)
& ( occurrence_of(X103,tptp2)
| occurrence_of(X103,tptp3) )
& root_occ(X102,X101)
& occurrence_of(X102,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f7794,plain,
root_occ(sK11,sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f409,f7243,f7244,f293]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,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])],[f211,f212]) ).
fof(f212,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(f211,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,[],[f210]) ).
fof(f210,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,[],[f74]) ).
fof(f74,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',sos_19) ).
fof(f7243,plain,
subactivity_occurrence(sK11,sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f6556,f309]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| subactivity_occurrence(X1,sK25(X0,X1,X2)) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,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])],[f223,f224]) ).
fof(f224,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(f223,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f222]) ).
fof(f222,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP3(X2,X1,X0) ),
inference(nnf_transformation,[],[f171]) ).
fof(f171,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(f6556,plain,
sP3(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0),
inference(unit_resulting_resolution,[],[f6540,f311]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP3(X2,X1,X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( sP3(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f131,f171]) ).
fof(f131,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,[],[f81]) ).
fof(f81,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',sos_06) ).
fof(f409,plain,
root(sK11,tptp0),
inference(unit_resulting_resolution,[],[f407,f302]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| root(X1,X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1,X2] :
( ( root(X1,X0)
& ~ atomic(X0)
& ~ atomic(X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f218]) ).
fof(f218,plain,
! [X1,X2,X0] :
( ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0) )
| ~ sP2(X1,X2,X0) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X1,X2,X0] :
( ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0) )
| ~ sP2(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f407,plain,
sP2(tptp0,sK11,sK10),
inference(unit_resulting_resolution,[],[f245,f303]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( sP2(X1,X2,X0)
| ~ tptp1(X0,X1,X2) ),
inference(definition_folding,[],[f127,f169]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0) )
| ~ tptp1(X0,X1,X2) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0) ) ),
inference(pure_predicate_removal,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0)
& activity(X0) ) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X144,X145,X146] :
( tptp1(X144,X145,X146)
=> ( root(X146,X145)
& ~ atomic(X145)
& ~ atomic(X144)
& activity(X144) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
fof(f7815,plain,
sP36(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f7244,f361]) ).
fof(f32176,plain,
sP4(tptp0,sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),sK14(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0))),
inference(unit_resulting_resolution,[],[f7829,f320]) ).
fof(f320,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| sP4(X2,X1,X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ sP4(X2,X1,X0) )
& ( sP4(X2,X1,X0)
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> sP4(X2,X1,X0) ),
inference(definition_folding,[],[f140,f173]) ).
fof(f140,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,[],[f86]) ).
fof(f86,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',sos_26) ).
fof(f7829,plain,
next_subocc(sK14(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f7782,f264]) ).
fof(f264,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK14(X0),sK15(X0),tptp0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f6540,plain,
min_precedes(sK11,sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),
inference(forward_demodulation,[],[f6530,f5872]) ).
fof(f5872,plain,
sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)) = sK32(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f662,f3670,f3426,f362]) ).
fof(f3426,plain,
root_occ(sK32(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)),sK30(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f3417,f349]) ).
fof(f349,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP9(X0,X1,X2,X3,X4)
| root_occ(sK32(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2,X3,X4] :
( ( root_occ(sK32(X0,X1,X2,X3,X4),X0)
& occurrence_of(sK32(X0,X1,X2,X3,X4),sK31(X0,X1,X2,X3,X4))
& send_message(sK31(X0,X1,X2,X3,X4),X4,X3,X2,X1) )
| ~ sP9(X0,X1,X2,X3,X4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f242,f243]) ).
fof(f243,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6] :
( root_occ(X6,X0)
& occurrence_of(X6,X5)
& send_message(X5,X4,X3,X2,X1) )
=> ( root_occ(sK32(X0,X1,X2,X3,X4),X0)
& occurrence_of(sK32(X0,X1,X2,X3,X4),sK31(X0,X1,X2,X3,X4))
& send_message(sK31(X0,X1,X2,X3,X4),X4,X3,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6] :
( root_occ(X6,X0)
& occurrence_of(X6,X5)
& send_message(X5,X4,X3,X2,X1) )
| ~ sP9(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f241]) ).
fof(f241,plain,
! [X5,X4,X3,X2,X1] :
( ? [X6,X7] :
( root_occ(X7,X5)
& occurrence_of(X7,X6)
& send_message(X6,X1,X2,X3,X4) )
| ~ sP9(X5,X4,X3,X2,X1) ),
inference(nnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X5,X4,X3,X2,X1] :
( ? [X6,X7] :
( root_occ(X7,X5)
& occurrence_of(X7,X6)
& send_message(X6,X1,X2,X3,X4) )
| ~ sP9(X5,X4,X3,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f3417,plain,
sP9(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f1366,f3403,f350]) ).
fof(f350,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ transmit_message(X0,X1,X2,X3,X4)
| ~ occurrence_of(X5,X0)
| sP9(X5,X4,X3,X2,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP9(X5,X4,X3,X2,X1)
| ~ occurrence_of(X5,X0)
| ~ transmit_message(X0,X1,X2,X3,X4) ),
inference(definition_folding,[],[f163,f183]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7] :
( root_occ(X7,X5)
& occurrence_of(X7,X6)
& send_message(X6,X1,X2,X3,X4) )
| ~ occurrence_of(X5,X0)
| ~ transmit_message(X0,X1,X2,X3,X4) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7] :
( root_occ(X7,X5)
& occurrence_of(X7,X6)
& send_message(X6,X1,X2,X3,X4) )
| ~ occurrence_of(X5,X0)
| ~ transmit_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( occurrence_of(X5,X0)
& transmit_message(X0,X1,X2,X3,X4) )
=> ? [X6,X7] :
( root_occ(X7,X5)
& occurrence_of(X7,X6)
& send_message(X6,X1,X2,X3,X4) ) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X136,X137,X138,X139,X140,X141] :
( ( occurrence_of(X141,X136)
& transmit_message(X136,X137,X138,X139,X140) )
=> ? [X142,X143] :
( root_occ(X143,X141)
& occurrence_of(X143,X142)
& send_message(X142,X137,X138,X139,X140) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
fof(f3670,plain,
root_occ(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK30(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f1366,f3441,f3442,f293]) ).
fof(f3441,plain,
root(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK27(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f1366,f3431,f277]) ).
fof(f277,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| atomic(X0)
| root(sK18(X0,X1),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f662,plain,
sP36(sK30(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f655,f361]) ).
fof(f655,plain,
occurrence_of(sK30(sK12,tptp0,sK11),sK13(sK30(sK12,tptp0,sK11))),
inference(unit_resulting_resolution,[],[f652,f259]) ).
fof(f652,plain,
activity_occurrence(sK30(sK12,tptp0,sK11)),
inference(unit_resulting_resolution,[],[f649,f268]) ).
fof(f649,plain,
subactivity_occurrence(sK30(sK12,tptp0,sK11),sK12),
inference(unit_resulting_resolution,[],[f647,f329]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| subactivity_occurrence(sK30(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f6530,plain,
min_precedes(sK11,sK32(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)),tptp0),
inference(unit_resulting_resolution,[],[f6285,f3599,f365]) ).
fof(f365,plain,
! [X3,X0,X4,X5] :
( ~ occurrence_of(X5,X0)
| min_precedes(X3,X5,X4)
| sP38(X4,X0,X3) ),
inference(cnf_transformation,[],[f365_D]) ).
fof(f365_D,plain,
! [X3,X0,X4] :
( ! [X5] :
( ~ occurrence_of(X5,X0)
| min_precedes(X3,X5,X4) )
<=> ~ sP38(X4,X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).
fof(f3599,plain,
occurrence_of(sK32(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)),sK31(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11))),
inference(unit_resulting_resolution,[],[f3417,f348]) ).
fof(f348,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP9(X0,X1,X2,X3,X4)
| occurrence_of(sK32(X0,X1,X2,X3,X4),sK31(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f6285,plain,
~ sP38(tptp0,sK31(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)),sK11),
inference(unit_resulting_resolution,[],[f3425,f366]) ).
fof(f366,plain,
! [X2,X3,X0,X1,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| ~ sP38(X4,X0,X3) ),
inference(general_splitting,[],[f346,f365_D]) ).
fof(f346,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,[],[f161]) ).
fof(f161,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,[],[f160]) ).
fof(f160,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,[],[f99]) ).
fof(f99,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,[],[f48]) ).
fof(f48,axiom,
! [X114,X115,X116,X117,X118,X119] :
( ( occurrence_of(X119,X114)
& send_message(X114,X115,X116,X117,X118) )
=> min_precedes(X117,X119,X118) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(f3425,plain,
send_message(sK31(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)),sK28(sK12,tptp0,sK11),sK29(sK12,tptp0,sK11),sK11,tptp0),
inference(unit_resulting_resolution,[],[f3417,f347]) ).
fof(f347,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP9(X0,X1,X2,X3,X4)
| send_message(sK31(X0,X1,X2,X3,X4),X4,X3,X2,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f7830,plain,
leaf_occ(sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f7782,f263]) ).
fof(f7966,plain,
sP37(tptp0,sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f6540,f7794,f363]) ).
fof(f7242,plain,
subactivity_occurrence(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f6556,f310]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| subactivity_occurrence(X0,sK25(X0,X1,X2)) ),
inference(cnf_transformation,[],[f225]) ).
fof(f7244,plain,
occurrence_of(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0),tptp0),
inference(unit_resulting_resolution,[],[f6556,f308]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| occurrence_of(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f225]) ).
fof(f32366,plain,
sP0(sK17(sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),tptp0)),
inference(unit_resulting_resolution,[],[f32292,f265]) ).
fof(f32292,plain,
occurrence_of(sK17(sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f247,f32261,f275]) ).
fof(f275,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| occurrence_of(sK17(X0,X1),X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ( leaf_occ(X0,sK17(X0,X1))
& occurrence_of(sK17(X0,X1),X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f121,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
=> ( leaf_occ(X0,sK17(X0,X1))
& occurrence_of(sK17(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( ~ atomic(X1)
& leaf(X0,X1) )
=> ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X25,X26] :
( ( ~ atomic(X26)
& leaf(X25,X26) )
=> ? [X27] :
( leaf_occ(X25,X27)
& occurrence_of(X27,X26) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f32261,plain,
leaf(sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f32213,f284]) ).
fof(f284,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f124,f167]) ).
fof(f167,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(f124,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X47,X48] :
( leaf(X47,X48)
<=> ( ~ ? [X50] : min_precedes(X47,X50,X48)
& ( ? [X49] : min_precedes(X49,X47,X48)
| root(X47,X48) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(f32213,plain,
sP1(tptp0,sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0))),
inference(unit_resulting_resolution,[],[f28790,f32197,f282]) ).
fof(f282,plain,
! [X3,X0,X1] :
( ~ min_precedes(X3,X1,X0)
| min_precedes(X1,sK19(X0,X1),X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,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])],[f201,f203,f202]) ).
fof(f202,plain,
! [X0,X1] :
( ? [X2] : min_precedes(X1,X2,X0)
=> min_precedes(X1,sK19(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X5] : min_precedes(X5,X1,X0)
=> min_precedes(sK20(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f201,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,[],[f200]) ).
fof(f200,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,[],[f199]) ).
fof(f199,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,[],[f167]) ).
fof(f32197,plain,
min_precedes(sK11,sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f32183,f316]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| min_precedes(X2,X1,X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f28790,plain,
! [X0] : ~ min_precedes(sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),X0,tptp0),
inference(unit_resulting_resolution,[],[f28788,f357]) ).
fof(f357,plain,
! [X2,X3,X1] :
( ~ min_precedes(X1,X3,X2)
| sP34(X2,X1) ),
inference(cnf_transformation,[],[f357_D]) ).
fof(f357_D,plain,
! [X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
<=> ~ sP34(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).
fof(f28788,plain,
~ sP34(tptp0,sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0))),
inference(forward_demodulation,[],[f28780,f28705]) ).
fof(f28705,plain,
tptp0 = sK13(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f7244,f7780,f315]) ).
fof(f7780,plain,
occurrence_of(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0),sK13(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0))),
inference(unit_resulting_resolution,[],[f7769,f259]) ).
fof(f7769,plain,
activity_occurrence(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f7243,f269]) ).
fof(f269,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f28780,plain,
~ sP34(sK13(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0))),
inference(unit_resulting_resolution,[],[f7780,f7830,f358]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ sP34(X2,X1)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(general_splitting,[],[f314,f357_D]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,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',sos_09) ).
fof(f247,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(f33744,plain,
! [X0] : ~ min_precedes(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),X0,tptp0),
inference(superposition,[],[f28790,f33736]) ).
fof(f34823,plain,
sP37(tptp0,sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(forward_demodulation,[],[f34812,f33736]) ).
fof(f34812,plain,
sP37(tptp0,sK15(sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(unit_resulting_resolution,[],[f32197,f34770,f363]) ).
fof(f34770,plain,
root_occ(sK11,sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(unit_resulting_resolution,[],[f409,f33791,f34755,f293]) ).
fof(f34755,plain,
subactivity_occurrence(sK11,sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(forward_demodulation,[],[f34748,f25256]) ).
fof(f25256,plain,
sK11 = sK24(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),
inference(unit_resulting_resolution,[],[f437,f7619,f7244,f432,f7613,f7243,f22007,f324]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(X3,X1)
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0)
| X2 = X3
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X3,X1)
& subactivity_occurrence(X2,X1)
& arboreal(X3)
& arboreal(X2)
& occurrence_of(X1,X0) )
=> ( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X15,X16,X17] :
( ( subactivity_occurrence(X17,X15)
& subactivity_occurrence(X16,X15)
& arboreal(X17)
& arboreal(X16)
& occurrence_of(X15,X14) )
=> ( X16 = X17
| min_precedes(X17,X16,X14)
| min_precedes(X16,X17,X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f22007,plain,
subactivity_occurrence(sK24(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),sK25(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK11,tptp0)),
inference(unit_resulting_resolution,[],[f6555,f7244,f7242,f331]) ).
fof(f331,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,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f151]) ).
fof(f151,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,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X82,X83,X84,X85] :
( ( subactivity_occurrence(X83,X85)
& occurrence_of(X85,X84)
& min_precedes(X82,X83,X84) )
=> subactivity_occurrence(X82,X85) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(f6555,plain,
min_precedes(sK24(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),
inference(unit_resulting_resolution,[],[f6540,f307]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK24(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,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])],[f130,f220]) ).
fof(f220,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(f130,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X68,X69,X70] :
( min_precedes(X68,X69,X70)
=> ? [X71] :
( min_precedes(X71,X69,X70)
& root(X71,X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
fof(f7613,plain,
! [X0] : ~ min_precedes(X0,sK24(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f6554,f304]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X65,X66,X67] :
( min_precedes(X65,X66,X67)
=> ~ root(X66,X67) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f6554,plain,
root(sK24(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f6540,f306]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK24(X1,X2),X2) ),
inference(cnf_transformation,[],[f221]) ).
fof(f432,plain,
! [X0] : ~ min_precedes(X0,sK11,tptp0),
inference(unit_resulting_resolution,[],[f409,f304]) ).
fof(f7619,plain,
arboreal(sK24(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(unit_resulting_resolution,[],[f7615,f258]) ).
fof(f258,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X43] :
( legal(X43)
=> arboreal(X43) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f7615,plain,
legal(sK24(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(unit_resulting_resolution,[],[f6554,f270]) ).
fof(f270,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X53,X54] :
( root(X53,X54)
=> legal(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(f437,plain,
arboreal(sK11),
inference(unit_resulting_resolution,[],[f434,f258]) ).
fof(f434,plain,
legal(sK11),
inference(unit_resulting_resolution,[],[f409,f270]) ).
fof(f34748,plain,
subactivity_occurrence(sK24(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(unit_resulting_resolution,[],[f6555,f33791,f34719,f331]) ).
fof(f34719,plain,
subactivity_occurrence(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(unit_resulting_resolution,[],[f33975,f295]) ).
fof(f295,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( leaf(X0,sK23(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK23(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f215,f216]) ).
fof(f216,plain,
! [X0,X1] :
( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( leaf(X0,sK23(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK23(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f215,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,[],[f214]) ).
fof(f214,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,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X55,X56] :
( leaf_occ(X55,X56)
<=> ? [X57] :
( leaf(X55,X57)
& subactivity_occurrence(X55,X56)
& occurrence_of(X56,X57) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(f33975,plain,
leaf_occ(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),
inference(unit_resulting_resolution,[],[f247,f33780,f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| leaf_occ(X0,sK17(X0,X1)) ),
inference(cnf_transformation,[],[f196]) ).
fof(f33780,plain,
leaf(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),
inference(superposition,[],[f32261,f33736]) ).
fof(f33791,plain,
occurrence_of(sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0),tptp0),
inference(superposition,[],[f32292,f33736]) ).
fof(f37301,plain,
( occurrence_of(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp2)
| occurrence_of(sK15(sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),tptp3) ),
inference(superposition,[],[f34163,f35225]) ).
fof(f34163,plain,
( occurrence_of(sK15(sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),tptp2)
| occurrence_of(sK15(sK17(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),tptp0)),tptp3) ),
inference(resolution,[],[f33812,f262]) ).
fof(f262,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK15(X0),tptp3)
| occurrence_of(sK15(X0),tptp2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f28539,plain,
send_message(sK13(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11))),sK28(sK12,tptp0,sK11),sK29(sK12,tptp0,sK11),sK11,tptp0),
inference(superposition,[],[f3425,f16688]) ).
fof(f16688,plain,
sK31(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)) = sK13(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11))),
inference(unit_resulting_resolution,[],[f3676,f6548]) ).
fof(f6548,plain,
! [X0] :
( ~ occurrence_of(sK18(sK27(sK12,tptp0,sK11),sK30(sK12,tptp0,sK11)),X0)
| sK31(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)) = X0 ),
inference(forward_demodulation,[],[f6536,f5872]) ).
fof(f6536,plain,
! [X0] :
( sK31(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)) = X0
| ~ occurrence_of(sK32(sK30(sK12,tptp0,sK11),tptp0,sK11,sK29(sK12,tptp0,sK11),sK28(sK12,tptp0,sK11)),X0) ),
inference(resolution,[],[f3599,f315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PRO001+4 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:36:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (24112)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (24115)WARNING: value z3 for option sas not known
% 0.21/0.37 % (24113)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (24115)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)
% 0.21/0.37 % (24116)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (24117)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)
% 0.21/0.37 % (24118)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)
% 0.21/0.37 % (24114)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (24119)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)
% 0.21/0.37 Detected minimum model sizes of [4]
% 0.21/0.37 Detected maximum model sizes of [max]
% 0.21/0.37 Detected minimum model sizes of [4]
% 0.21/0.37 Detected maximum model sizes of [max]
% 0.21/0.38 TRYING [4]
% 0.21/0.38 TRYING [4]
% 0.21/0.50 TRYING [5]
% 0.21/0.50 TRYING [5]
% 3.51/0.83 TRYING [6]
% 3.72/0.87 TRYING [6]
% 3.72/0.91 % (24119)First to succeed.
% 3.72/0.91 % (24119)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24112"
% 3.72/0.92 % (24119)Refutation found. Thanks to Tanya!
% 3.72/0.92 % SZS status Theorem for theBenchmark
% 3.72/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/0.92 % (24119)------------------------------
% 3.72/0.92 % (24119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.72/0.92 % (24119)Termination reason: Refutation
% 3.72/0.92
% 3.72/0.92 % (24119)Memory used [KB]: 6467
% 3.72/0.92 % (24119)Time elapsed: 0.547 s
% 3.72/0.92 % (24119)Instructions burned: 1544 (million)
% 3.72/0.92 % (24112)Success in time 0.556 s
%------------------------------------------------------------------------------