TSTP Solution File: PRO002+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO002+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 08:47:30 EDT 2024
% Result : Theorem 4.17s 0.95s
% Output : Refutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 54
% Syntax : Number of formulae : 309 ( 85 unt; 0 def)
% Number of atoms : 938 ( 56 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 949 ( 320 ~; 288 |; 260 &)
% ( 23 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 1 prp; 0-5 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-3 aty)
% Number of variables : 701 ( 580 !; 121 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36446,plain,
$false,
inference(subsumption_resolution,[],[f36390,f523]) ).
fof(f523,plain,
! [X2,X3,X0,X1] : ~ send_message(tptp3,X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f329,f326]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| sP8(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( sP8(X0)
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(definition_folding,[],[f141,f160]) ).
fof(f160,plain,
! [X0] :
( ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4] :
( ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 )
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,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,
! [X103,X104,X105,X106,X107] :
( send_message(X103,X104,X105,X106,X107)
=> ( tptp2 != X103
& tptp3 != X103
& tptp4 != X103 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(f329,plain,
~ sP8(tptp3),
inference(equality_resolution,[],[f324]) ).
fof(f324,plain,
! [X0] :
( tptp3 != X0
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ( tptp2 != X0
& tptp3 != X0
& tptp4 != X0 )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f36390,plain,
send_message(tptp3,sK29(sK11,tptp0,sK10),sK30(sK11,tptp0,sK10),sK10,tptp0),
inference(superposition,[],[f4022,f36336]) ).
fof(f36336,plain,
tptp3 = sK12(sK18(sK9,sK11)),
inference(subsumption_resolution,[],[f36285,f522]) ).
fof(f522,plain,
! [X2,X3,X0,X1] : ~ send_message(tptp2,X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f328,f326]) ).
fof(f328,plain,
~ sP8(tptp2),
inference(equality_resolution,[],[f325]) ).
fof(f325,plain,
! [X0] :
( tptp2 != X0
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f36285,plain,
( send_message(tptp2,sK29(sK11,tptp0,sK10),sK30(sK11,tptp0,sK10),sK10,tptp0)
| tptp3 = sK12(sK18(sK9,sK11)) ),
inference(superposition,[],[f4022,f36147]) ).
fof(f36147,plain,
( tptp2 = sK12(sK18(sK9,sK11))
| tptp3 = sK12(sK18(sK9,sK11)) ),
inference(resolution,[],[f36117,f699]) ).
fof(f699,plain,
! [X0] :
( ~ occurrence_of(sK18(sK9,sK11),X0)
| sK12(sK18(sK9,sK11)) = X0 ),
inference(resolution,[],[f681,f303]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f127]) ).
fof(f127,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,[],[f23]) ).
fof(f23,axiom,
! [X64,X65,X66] :
( ( occurrence_of(X64,X66)
& occurrence_of(X64,X65) )
=> X65 = X66 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f681,plain,
occurrence_of(sK18(sK9,sK11),sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f678,f236]) ).
fof(f236,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ( occurrence_of(X0,sK12(X0))
& activity(sK12(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f96,f164]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
=> ( occurrence_of(X0,sK12(X0))
& activity(sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X52] :
( activity_occurrence(X52)
=> ? [X53] :
( occurrence_of(X52,X53)
& activity(X53) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(f678,plain,
activity_occurrence(sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f674,f246]) ).
fof(f246,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity_occurrence(X0) )
| ~ subactivity_occurrence(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
=> ( activity_occurrence(X1)
& activity_occurrence(X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X54,X55] :
( subactivity_occurrence(X54,X55)
=> ( activity_occurrence(X55)
& activity_occurrence(X54) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(f674,plain,
subactivity_occurrence(sK18(sK9,sK11),sK11),
inference(forward_demodulation,[],[f668,f555]) ).
fof(f555,plain,
sK9 = sK12(sK11),
inference(unit_resulting_resolution,[],[f221,f355,f303]) ).
fof(f355,plain,
occurrence_of(sK11,sK12(sK11)),
inference(unit_resulting_resolution,[],[f347,f236]) ).
fof(f347,plain,
activity_occurrence(sK11),
inference(unit_resulting_resolution,[],[f221,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity(X0) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X89,X90] :
( occurrence_of(X90,X89)
=> ( activity_occurrence(X90)
& activity(X89) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(f221,plain,
occurrence_of(sK11,sK9),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( occurrence_of(sK11,sK9)
& tptp1(sK9,tptp0,sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f55,f162]) ).
fof(f162,plain,
( ? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) )
=> ( occurrence_of(sK11,sK9)
& tptp1(sK9,tptp0,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
~ ~ ? [X0,X1,X2] :
( occurrence_of(X2,X0)
& tptp1(X0,tptp0,X1) ),
inference(rectify,[],[f53]) ).
fof(f53,negated_conjecture,
~ ~ ? [X127,X128,X129] :
( occurrence_of(X129,X127)
& tptp1(X127,tptp0,X128) ),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
~ ? [X127,X128,X129] :
( occurrence_of(X129,X127)
& tptp1(X127,tptp0,X128) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f668,plain,
subactivity_occurrence(sK18(sK12(sK11),sK11),sK11),
inference(unit_resulting_resolution,[],[f355,f406,f261]) ).
fof(f261,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| atomic(X0)
| subactivity_occurrence(sK18(X0,X1),X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,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])],[f112,f176]) ).
fof(f176,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(f112,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) )
| atomic(X0)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( ~ atomic(X0)
& occurrence_of(X1,X0) )
=> ? [X2] :
( subactivity_occurrence(X2,X1)
& root(X2,X0) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X91,X92] :
( ( ~ atomic(X91)
& occurrence_of(X92,X91) )
=> ? [X93] :
( subactivity_occurrence(X93,X92)
& root(X93,X91) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_30) ).
fof(f406,plain,
~ atomic(sK12(sK11)),
inference(unit_resulting_resolution,[],[f355,f398,f254]) ).
fof(f254,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X40,X41] :
( occurrence_of(X40,X41)
=> ( arboreal(X40)
<=> atomic(X41) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f398,plain,
~ arboreal(sK11),
inference(unit_resulting_resolution,[],[f221,f389,f253]) ).
fof(f253,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ arboreal(X0)
| atomic(X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f389,plain,
~ atomic(sK9),
inference(unit_resulting_resolution,[],[f385,f285]) ).
fof(f285,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| ~ atomic(X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ( root(X1,X0)
& ~ atomic(X0)
& ~ atomic(X2)
& activity(X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
! [X1,X2,X0] :
( ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0)
& activity(X0) )
| ~ sP2(X1,X2,X0) ),
inference(nnf_transformation,[],[f148]) ).
fof(f148,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(f385,plain,
sP2(tptp0,sK10,sK9),
inference(unit_resulting_resolution,[],[f220,f288]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( sP2(X1,X2,X0)
| ~ tptp1(X0,X1,X2) ),
inference(definition_folding,[],[f116,f148]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0)
& activity(X0) )
| ~ tptp1(X0,X1,X2) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( root(X2,X1)
& ~ atomic(X1)
& ~ atomic(X0)
& activity(X0) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X114,X115,X116] :
( tptp1(X114,X115,X116)
=> ( root(X116,X115)
& ~ atomic(X115)
& ~ atomic(X114)
& activity(X114) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(f220,plain,
tptp1(sK9,tptp0,sK10),
inference(cnf_transformation,[],[f163]) ).
fof(f36117,plain,
( occurrence_of(sK18(sK9,sK11),tptp3)
| tptp2 = sK12(sK18(sK9,sK11)) ),
inference(resolution,[],[f36077,f699]) ).
fof(f36077,plain,
( occurrence_of(sK18(sK9,sK11),tptp2)
| occurrence_of(sK18(sK9,sK11),tptp3) ),
inference(forward_demodulation,[],[f36056,f25102]) ).
fof(f25102,plain,
sK18(sK9,sK11) = sK14(sK17(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f22579,f22615,f22813,f336]) ).
fof(f336,plain,
! [X2,X0,X1] :
( ~ leaf_occ(X1,X2)
| X0 = X1
| ~ leaf_occ(X0,X2)
| ~ sP34(X2) ),
inference(general_splitting,[],[f310,f335_D]) ).
fof(f335,plain,
! [X2,X3] :
( ~ occurrence_of(X2,X3)
| atomic(X3)
| sP34(X2) ),
inference(cnf_transformation,[],[f335_D]) ).
fof(f335_D,plain,
! [X2] :
( ! [X3] :
( ~ occurrence_of(X2,X3)
| atomic(X3) )
<=> ~ sP34(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).
fof(f310,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ( leaf_occ(X1,X2)
& leaf_occ(X0,X2)
& ~ atomic(X3)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X11,X12,X13,X14] :
( ( leaf_occ(X12,X13)
& leaf_occ(X11,X13)
& ~ atomic(X14)
& occurrence_of(X13,X14) )
=> X11 = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f22813,plain,
leaf_occ(sK14(sK17(sK18(sK9,sK11),tptp0)),sK17(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f22575,f241]) ).
fof(f241,plain,
! [X0] :
( ~ sP0(X0)
| leaf_occ(sK14(X0),X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,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])],[f166,f167]) ).
fof(f167,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(f166,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,[],[f144]) ).
fof(f144,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(f22575,plain,
sP0(sK17(sK18(sK9,sK11),tptp0)),
inference(superposition,[],[f22058,f22529]) ).
fof(f22529,plain,
sK18(sK9,sK11) = sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f637,f4693,f21810,f4691,f8455,f8462,f21824,f311]) ).
fof(f311,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,[],[f133]) ).
fof(f133,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,[],[f132]) ).
fof(f132,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,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X3,X1)
& subactivity_occurrence(X2,X1)
& arboreal(X3)
& arboreal(X2)
& occurrence_of(X1,X0) )
=> ( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X85,X86,X87,X88] :
( ( subactivity_occurrence(X88,X86)
& subactivity_occurrence(X87,X86)
& arboreal(X88)
& arboreal(X87)
& occurrence_of(X86,X85) )
=> ( X87 = X88
| min_precedes(X88,X87,X85)
| min_precedes(X87,X88,X85) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(f21824,plain,
~ min_precedes(sK18(sK9,sK11),sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f4541,f21816,f305]) ).
fof(f305,plain,
! [X2,X0,X1,X4] :
( ~ sP5(X0,X1,X2)
| ~ min_precedes(X2,X4,X0)
| ~ min_precedes(X4,X1,X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ( min_precedes(sK27(X0,X1,X2),X1,X0)
& min_precedes(X2,sK27(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,[sK27])],[f209,f210]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
=> ( min_precedes(sK27(X0,X1,X2),X1,X0)
& min_precedes(X2,sK27(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f209,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,[],[f208]) ).
fof(f208,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,[],[f207]) ).
fof(f207,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,[],[f154]) ).
fof(f154,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(f21816,plain,
sP5(tptp0,sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),sK10),
inference(forward_demodulation,[],[f21809,f8544]) ).
fof(f8544,plain,
sK10 = sK13(sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f4988,f4979,f5002,f338]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ root_occ(X1,X2)
| X0 = X1
| ~ root_occ(X0,X2)
| ~ sP35(X2) ),
inference(general_splitting,[],[f312,f337_D]) ).
fof(f337,plain,
! [X2,X3] :
( ~ occurrence_of(X2,X3)
| sP35(X2) ),
inference(cnf_transformation,[],[f337_D]) ).
fof(f337_D,plain,
! [X2] :
( ! [X3] : ~ occurrence_of(X2,X3)
<=> ~ sP35(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ root_occ(X1,X2)
| ~ root_occ(X0,X2)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( root_occ(X1,X2)
& root_occ(X0,X2)
& occurrence_of(X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X7,X8,X9,X10] :
( ( root_occ(X8,X9)
& root_occ(X7,X9)
& occurrence_of(X9,X10) )
=> X7 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f5002,plain,
root_occ(sK13(sK24(sK18(sK9,sK11),sK10,tptp0)),sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f4969,f239]) ).
fof(f239,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK13(X0),X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f4969,plain,
sP0(sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f4693,f243]) ).
fof(f243,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f98,f144]) ).
fof(f98,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,[],[f59]) ).
fof(f59,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,
! [X95] :
( occurrence_of(X95,tptp0)
=> ? [X96,X97] :
( next_subocc(X96,X97,tptp0)
& leaf_occ(X97,X95)
& ( occurrence_of(X97,tptp2)
| occurrence_of(X97,tptp3) )
& root_occ(X96,X95)
& occurrence_of(X96,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f4979,plain,
root_occ(sK10,sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f387,f4692,f4693,f273]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( root(X0,sK21(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK21(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f186,f187]) ).
fof(f187,plain,
! [X0,X1] :
( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( root(X0,sK21(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f186,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,[],[f185]) ).
fof(f185,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,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X32,X33] :
( root_occ(X32,X33)
<=> ? [X34] :
( root(X32,X34)
& subactivity_occurrence(X32,X33)
& occurrence_of(X33,X34) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f4692,plain,
subactivity_occurrence(sK10,sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f4546,f292]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| subactivity_occurrence(X1,sK24(X0,X1,X2)) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X0,sK24(X0,X1,X2))
& subactivity_occurrence(X1,sK24(X0,X1,X2))
& occurrence_of(sK24(X0,X1,X2),X2) )
| ~ sP3(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f200,f201]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
=> ( subactivity_occurrence(X0,sK24(X0,X1,X2))
& subactivity_occurrence(X1,sK24(X0,X1,X2))
& occurrence_of(sK24(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP3(X2,X1,X0) ),
inference(nnf_transformation,[],[f150]) ).
fof(f150,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(f4546,plain,
sP3(sK18(sK9,sK11),sK10,tptp0),
inference(unit_resulting_resolution,[],[f4541,f294]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP3(X2,X1,X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( sP3(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f119,f150]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(f387,plain,
root(sK10,tptp0),
inference(unit_resulting_resolution,[],[f385,f287]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| root(X1,X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f4988,plain,
sP35(sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f4693,f337]) ).
fof(f21809,plain,
sP5(tptp0,sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),sK13(sK24(sK18(sK9,sK11),sK10,tptp0))),
inference(unit_resulting_resolution,[],[f5000,f308]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| sP5(X2,X1,X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,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,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> sP5(X2,X1,X0) ),
inference(definition_folding,[],[f129,f154]) ).
fof(f129,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,[],[f5]) ).
fof(f5,axiom,
! [X15,X16,X17] :
( next_subocc(X15,X16,X17)
<=> ( ~ ? [X18] :
( min_precedes(X18,X16,X17)
& min_precedes(X15,X18,X17) )
& min_precedes(X15,X16,X17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f5000,plain,
next_subocc(sK13(sK24(sK18(sK9,sK11),sK10,tptp0)),sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f4969,f242]) ).
fof(f242,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK13(X0),sK14(X0),tptp0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f4541,plain,
min_precedes(sK10,sK18(sK9,sK11),tptp0),
inference(unit_resulting_resolution,[],[f681,f4533,f339]) ).
fof(f339,plain,
! [X3,X0,X4,X5] :
( ~ occurrence_of(X5,X0)
| min_precedes(X3,X5,X4)
| sP36(X4,X0,X3) ),
inference(cnf_transformation,[],[f339_D]) ).
fof(f339_D,plain,
! [X3,X0,X4] :
( ! [X5] :
( ~ occurrence_of(X5,X0)
| min_precedes(X3,X5,X4) )
<=> ~ sP36(X4,X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).
fof(f4533,plain,
~ sP36(tptp0,sK12(sK18(sK9,sK11)),sK10),
inference(unit_resulting_resolution,[],[f4022,f340]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| ~ sP36(X4,X0,X3) ),
inference(general_splitting,[],[f327,f339_D]) ).
fof(f327,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,[],[f143]) ).
fof(f143,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,[],[f142]) ).
fof(f142,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,[],[f93]) ).
fof(f93,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,
! [X108,X109,X110,X111,X112,X113] :
( ( occurrence_of(X113,X108)
& send_message(X108,X109,X110,X111,X112) )
=> min_precedes(X111,X113,X112) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(f8462,plain,
! [X0] : ~ min_precedes(sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),X0,tptp0),
inference(unit_resulting_resolution,[],[f8460,f333]) ).
fof(f333,plain,
! [X2,X3,X1] :
( ~ min_precedes(X1,X3,X2)
| sP33(X2,X1) ),
inference(cnf_transformation,[],[f333_D]) ).
fof(f333_D,plain,
! [X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
<=> ~ sP33(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).
fof(f8460,plain,
~ sP33(tptp0,sK14(sK24(sK18(sK9,sK11),sK10,tptp0))),
inference(forward_demodulation,[],[f8452,f8406]) ).
fof(f8406,plain,
tptp0 = sK12(sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f4693,f4957,f303]) ).
fof(f4957,plain,
occurrence_of(sK24(sK18(sK9,sK11),sK10,tptp0),sK12(sK24(sK18(sK9,sK11),sK10,tptp0))),
inference(unit_resulting_resolution,[],[f4946,f236]) ).
fof(f4946,plain,
activity_occurrence(sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f4692,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f8452,plain,
~ sP33(sK12(sK24(sK18(sK9,sK11),sK10,tptp0)),sK14(sK24(sK18(sK9,sK11),sK10,tptp0))),
inference(unit_resulting_resolution,[],[f4957,f5001,f334]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ sP33(X2,X1)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(general_splitting,[],[f302,f333_D]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f125]) ).
fof(f125,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,[],[f22]) ).
fof(f22,axiom,
! [X60,X61,X62] :
( ( leaf_occ(X61,X60)
& occurrence_of(X60,X62) )
=> ~ ? [X63] : min_precedes(X61,X63,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f5001,plain,
leaf_occ(sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f4969,f241]) ).
fof(f8455,plain,
subactivity_occurrence(sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f5001,f279]) ).
fof(f279,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,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])],[f194,f195]) ).
fof(f195,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(f194,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,[],[f193]) ).
fof(f193,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,[],[f12]) ).
fof(f12,axiom,
! [X35,X36] :
( leaf_occ(X35,X36)
<=> ? [X37] :
( leaf(X35,X37)
& subactivity_occurrence(X35,X36)
& occurrence_of(X36,X37) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(f4691,plain,
subactivity_occurrence(sK18(sK9,sK11),sK24(sK18(sK9,sK11),sK10,tptp0)),
inference(unit_resulting_resolution,[],[f4546,f293]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| subactivity_occurrence(X0,sK24(X0,X1,X2)) ),
inference(cnf_transformation,[],[f202]) ).
fof(f21810,plain,
arboreal(sK14(sK24(sK18(sK9,sK11),sK10,tptp0))),
inference(unit_resulting_resolution,[],[f5000,f283]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ( arboreal(X1)
& arboreal(X0) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X1)
& arboreal(X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20,X21] :
( next_subocc(X19,X20,X21)
=> ( arboreal(X20)
& arboreal(X19) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f4693,plain,
occurrence_of(sK24(sK18(sK9,sK11),sK10,tptp0),tptp0),
inference(unit_resulting_resolution,[],[f4546,f291]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| occurrence_of(sK24(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f637,plain,
arboreal(sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f633,f234]) ).
fof(f234,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X51] :
( legal(X51)
=> arboreal(X51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(f633,plain,
legal(sK18(sK9,sK11)),
inference(unit_resulting_resolution,[],[f627,f248]) ).
fof(f248,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X38,X39] :
( root(X38,X39)
=> legal(X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f627,plain,
root(sK18(sK9,sK11),sK9),
inference(forward_demodulation,[],[f621,f555]) ).
fof(f621,plain,
root(sK18(sK12(sK11),sK11),sK12(sK11)),
inference(unit_resulting_resolution,[],[f355,f406,f260]) ).
fof(f260,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| atomic(X0)
| root(sK18(X0,X1),X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f22058,plain,
sP0(sK17(sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),tptp0)),
inference(unit_resulting_resolution,[],[f21917,f243]) ).
fof(f21917,plain,
occurrence_of(sK17(sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f222,f21886,f257]) ).
fof(f257,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| occurrence_of(sK17(X0,X1),X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,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])],[f108,f174]) ).
fof(f174,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(f108,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( ~ atomic(X1)
& leaf(X0,X1) )
=> ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X74,X75] :
( ( ~ atomic(X75)
& leaf(X74,X75) )
=> ? [X76] :
( leaf_occ(X74,X76)
& occurrence_of(X76,X75) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(f21886,plain,
leaf(sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f21841,f267]) ).
fof(f267,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f113,f146]) ).
fof(f146,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(f113,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,[],[f15]) ).
fof(f15,axiom,
! [X42,X43] :
( leaf(X42,X43)
<=> ( ~ ? [X45] : min_precedes(X42,X45,X43)
& ( ? [X44] : min_precedes(X44,X42,X43)
| root(X42,X43) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(f21841,plain,
sP1(tptp0,sK14(sK24(sK18(sK9,sK11),sK10,tptp0))),
inference(unit_resulting_resolution,[],[f8462,f21828,f265]) ).
fof(f265,plain,
! [X3,X0,X1] :
( ~ min_precedes(X3,X1,X0)
| min_precedes(X1,sK19(X0,X1),X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,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])],[f180,f182,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X2] : min_precedes(X1,X2,X0)
=> min_precedes(X1,sK19(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0,X1] :
( ? [X5] : min_precedes(X5,X1,X0)
=> min_precedes(sK20(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f180,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,[],[f179]) ).
fof(f179,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,[],[f178]) ).
fof(f178,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,[],[f146]) ).
fof(f21828,plain,
min_precedes(sK10,sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f21816,f304]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| min_precedes(X2,X1,X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f222,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(f22615,plain,
leaf_occ(sK18(sK9,sK11),sK17(sK18(sK9,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f222,f22561,f258]) ).
fof(f258,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| leaf_occ(X0,sK17(X0,X1)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f22561,plain,
leaf(sK18(sK9,sK11),tptp0),
inference(superposition,[],[f21886,f22529]) ).
fof(f22579,plain,
sP34(sK17(sK18(sK9,sK11),tptp0)),
inference(superposition,[],[f22091,f22529]) ).
fof(f22091,plain,
sP34(sK17(sK14(sK24(sK18(sK9,sK11),sK10,tptp0)),tptp0)),
inference(unit_resulting_resolution,[],[f222,f21917,f335]) ).
fof(f36056,plain,
( occurrence_of(sK18(sK9,sK11),tptp2)
| occurrence_of(sK14(sK17(sK18(sK9,sK11),tptp0)),tptp3) ),
inference(superposition,[],[f22816,f25102]) ).
fof(f22816,plain,
( occurrence_of(sK14(sK17(sK18(sK9,sK11),tptp0)),tptp2)
| occurrence_of(sK14(sK17(sK18(sK9,sK11),tptp0)),tptp3) ),
inference(resolution,[],[f22575,f240]) ).
fof(f240,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK14(X0),tptp3)
| occurrence_of(sK14(X0),tptp2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f4022,plain,
send_message(sK12(sK18(sK9,sK11)),sK29(sK11,tptp0,sK10),sK30(sK11,tptp0,sK10),sK10,tptp0),
inference(forward_demodulation,[],[f4019,f3286]) ).
fof(f3286,plain,
sK12(sK18(sK9,sK11)) = sK28(sK11,tptp0,sK10),
inference(forward_demodulation,[],[f3267,f1591]) ).
fof(f1591,plain,
sK22(sK18(sK9,sK11),sK15(sK9,sK18(sK9,sK11))) = sK12(sK18(sK9,sK11)),
inference(forward_demodulation,[],[f1574,f1244]) ).
fof(f1244,plain,
sK12(sK18(sK9,sK11)) = sK22(sK18(sK9,sK11),sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f681,f960,f303]) ).
fof(f960,plain,
occurrence_of(sK18(sK9,sK11),sK22(sK18(sK9,sK11),sK12(sK18(sK9,sK11)))),
inference(unit_resulting_resolution,[],[f775,f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| occurrence_of(X0,sK22(X0,X1)) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ occurrence_of(X0,X2)
| ~ atomic(X2)
| ~ subactivity(X1,X2) ) )
& ( ( occurrence_of(X0,sK22(X0,X1))
& atomic(sK22(X0,X1))
& subactivity(X1,sK22(X0,X1)) )
| ~ atocc(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f190,f191]) ).
fof(f191,plain,
! [X0,X1] :
( ? [X3] :
( occurrence_of(X0,X3)
& atomic(X3)
& subactivity(X1,X3) )
=> ( occurrence_of(X0,sK22(X0,X1))
& atomic(sK22(X0,X1))
& subactivity(X1,sK22(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f190,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,[],[f189]) ).
fof(f189,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,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( atocc(X0,X1)
<=> ? [X2] :
( occurrence_of(X0,X2)
& atomic(X2)
& subactivity(X1,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X46,X47] :
( atocc(X46,X47)
<=> ? [X48] :
( occurrence_of(X46,X48)
& atomic(X48)
& subactivity(X47,X48) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(f775,plain,
atocc(sK18(sK9,sK11),sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f689,f681,f685,f277]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ subactivity(X1,X2)
| ~ occurrence_of(X0,X2)
| ~ atomic(X2)
| atocc(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f685,plain,
subactivity(sK12(sK18(sK9,sK11)),sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f682,f237]) ).
fof(f237,plain,
! [X0] :
( ~ activity(X0)
| subactivity(X0,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( subactivity(X0,X0)
| ~ activity(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( activity(X0)
=> subactivity(X0,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X94] :
( activity(X94)
=> subactivity(X94,X94) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_31) ).
fof(f682,plain,
activity(sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f678,f235]) ).
fof(f235,plain,
! [X0] :
( ~ activity_occurrence(X0)
| activity(sK12(X0)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f689,plain,
atomic(sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f637,f681,f253]) ).
fof(f1574,plain,
sK22(sK18(sK9,sK11),sK15(sK9,sK18(sK9,sK11))) = sK22(sK18(sK9,sK11),sK12(sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f960,f646,f303]) ).
fof(f646,plain,
occurrence_of(sK18(sK9,sK11),sK22(sK18(sK9,sK11),sK15(sK9,sK18(sK9,sK11)))),
inference(unit_resulting_resolution,[],[f630,f276]) ).
fof(f630,plain,
atocc(sK18(sK9,sK11),sK15(sK9,sK18(sK9,sK11))),
inference(unit_resulting_resolution,[],[f627,f250]) ).
fof(f250,plain,
! [X0,X1] :
( ~ root(X1,X0)
| atocc(X1,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( atocc(X1,sK15(X0,X1))
& subactivity(sK15(X0,X1),X0) )
| ~ root(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f102,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ? [X2] :
( atocc(X1,X2)
& subactivity(X2,X0) )
=> ( atocc(X1,sK15(X0,X1))
& subactivity(sK15(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( atocc(X1,X2)
& subactivity(X2,X0) )
| ~ root(X1,X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( root(X1,X0)
=> ? [X2] :
( atocc(X1,X2)
& subactivity(X2,X0) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X82,X83] :
( root(X83,X82)
=> ? [X84] :
( atocc(X83,X84)
& subactivity(X84,X82) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(f3267,plain,
sK22(sK18(sK9,sK11),sK15(sK9,sK18(sK9,sK11))) = sK28(sK11,tptp0,sK10),
inference(unit_resulting_resolution,[],[f646,f3255,f303]) ).
fof(f3255,plain,
occurrence_of(sK18(sK9,sK11),sK28(sK11,tptp0,sK10)),
inference(forward_demodulation,[],[f3253,f1845]) ).
fof(f1845,plain,
sK18(sK9,sK11) = sK31(sK11,tptp0,sK10),
inference(unit_resulting_resolution,[],[f353,f818,f1836,f338]) ).
fof(f1836,plain,
root_occ(sK18(sK9,sK11),sK11),
inference(unit_resulting_resolution,[],[f221,f627,f674,f273]) ).
fof(f818,plain,
root_occ(sK31(sK11,tptp0,sK10),sK11),
inference(unit_resulting_resolution,[],[f816,f315]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| root_occ(sK31(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ( root_occ(sK31(X0,X1,X2),X0)
& occurrence_of(sK31(X0,X1,X2),sK28(X0,X1,X2))
& send_message(sK28(X0,X1,X2),sK29(X0,X1,X2),sK30(X0,X1,X2),X2,X1) )
| ~ sP6(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31])],[f214,f215]) ).
fof(f215,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(sK31(X0,X1,X2),X0)
& occurrence_of(sK31(X0,X1,X2),sK28(X0,X1,X2))
& send_message(sK28(X0,X1,X2),sK29(X0,X1,X2),sK30(X0,X1,X2),X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f214,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,[],[f213]) ).
fof(f213,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,[],[f156]) ).
fof(f156,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(f816,plain,
sP6(sK11,tptp0,sK10),
inference(unit_resulting_resolution,[],[f221,f220,f316]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0)
| sP6(X3,X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( sP6(X3,X1,X2)
| ~ occurrence_of(X3,X0)
| ~ tptp1(X0,X1,X2) ),
inference(definition_folding,[],[f137,f156]) ).
fof(f137,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,[],[f136]) ).
fof(f136,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,[],[f90]) ).
fof(f90,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,[],[f50]) ).
fof(f50,axiom,
! [X117,X118,X119,X120] :
( ( occurrence_of(X120,X117)
& tptp1(X117,X118,X119) )
=> ? [X121,X122,X123,X124] :
( root_occ(X124,X120)
& occurrence_of(X124,X121)
& send_message(X121,X122,X123,X119,X118) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(f353,plain,
sP35(sK11),
inference(unit_resulting_resolution,[],[f221,f337]) ).
fof(f3253,plain,
occurrence_of(sK31(sK11,tptp0,sK10),sK28(sK11,tptp0,sK10)),
inference(unit_resulting_resolution,[],[f816,f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| occurrence_of(sK31(X0,X1,X2),sK28(X0,X1,X2)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f4019,plain,
send_message(sK28(sK11,tptp0,sK10),sK29(sK11,tptp0,sK10),sK30(sK11,tptp0,sK10),sK10,tptp0),
inference(unit_resulting_resolution,[],[f816,f313]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| send_message(sK28(X0,X1,X2),sK29(X0,X1,X2),sK30(X0,X1,X2),X2,X1) ),
inference(cnf_transformation,[],[f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO002+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 20:36:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (15063)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (15067)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 Detected minimum model sizes of [4]
% 0.13/0.36 Detected maximum model sizes of [max]
% 0.13/0.37 % (15066)WARNING: value z3 for option sas not known
% 0.13/0.37 TRYING [4]
% 0.13/0.37 % (15064)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (15065)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (15066)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)
% 0.13/0.37 % (15068)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)
% 0.13/0.37 % (15069)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)
% 0.13/0.37 % (15071)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)
% 0.13/0.37 Detected minimum model sizes of [4]
% 0.13/0.37 Detected maximum model sizes of [max]
% 0.13/0.37 TRYING [4]
% 0.13/0.39 TRYING [5]
% 0.19/0.41 TRYING [5]
% 0.19/0.45 TRYING [6]
% 0.19/0.52 TRYING [6]
% 1.90/0.62 TRYING [7]
% 3.02/0.81 TRYING [7]
% 4.17/0.95 % (15071)First to succeed.
% 4.17/0.95 % (15071)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15063"
% 4.17/0.95 % (15071)Refutation found. Thanks to Tanya!
% 4.17/0.95 % SZS status Theorem for theBenchmark
% 4.17/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 4.17/0.96 % (15071)------------------------------
% 4.17/0.96 % (15071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.17/0.96 % (15071)Termination reason: Refutation
% 4.17/0.96
% 4.17/0.96 % (15071)Memory used [KB]: 8282
% 4.17/0.96 % (15071)Time elapsed: 0.586 s
% 4.17/0.96 % (15071)Instructions burned: 1737 (million)
% 4.17/0.96 % (15063)Success in time 0.548 s
%------------------------------------------------------------------------------