TSTP Solution File: PRO016+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO016+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 : n019.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 08:47:39 EDT 2024
% Result : Theorem 209.17s 30.17s
% Output : Refutation 209.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 33
% Syntax : Number of formulae : 166 ( 47 unt; 0 def)
% Number of atoms : 660 ( 13 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 717 ( 223 ~; 208 |; 235 &)
% ( 17 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 398 ( 310 !; 88 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f669909,plain,
$false,
inference(subsumption_resolution,[],[f669905,f162588]) ).
fof(f162588,plain,
~ min_precedes(sK18(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK19(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),tptp0),
inference(unit_resulting_resolution,[],[f49781,f162426,f300]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X2,X3)
| min_precedes(X0,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( min_precedes(X0,X2,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( min_precedes(X0,X2,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X1,X2,X3)
& min_precedes(X0,X1,X3) )
=> min_precedes(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(f162426,plain,
min_precedes(sK19(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK20(sK12,sK11),tptp0),
inference(unit_resulting_resolution,[],[f162410,f291]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ sP8(X0,X1,X2)
| min_precedes(X2,X1,X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ( min_precedes(sK28(X0,X1,X2),X1,X0)
& min_precedes(X2,sK28(X0,X1,X2),X0) )
| ~ min_precedes(X2,X1,X0) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X0)
| ~ min_precedes(X2,X4,X0) )
& min_precedes(X2,X1,X0) )
| ~ sP8(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f198,f199]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
=> ( min_precedes(sK28(X0,X1,X2),X1,X0)
& min_precedes(X2,sK28(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ( sP8(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) )
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
! [X2,X1,X0] :
( ( sP8(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) )
| ~ sP8(X2,X1,X0) ) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X2,X1,X0] :
( ( sP8(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) )
| ~ sP8(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X2,X1,X0] :
( sP8(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,[sP8])]) ).
fof(f162410,plain,
sP8(tptp0,sK20(sK12,sK11),sK19(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11))),
inference(forward_demodulation,[],[f162402,f101088]) ).
fof(f101088,plain,
sK20(sK12,sK11) = sK20(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),
inference(unit_resulting_resolution,[],[f3067,f6412,f6777,f306]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ leaf_occ(X1,X2)
| X0 = X1
| ~ leaf_occ(X0,X2)
| ~ sP31(X2) ),
inference(general_splitting,[],[f297,f305_D]) ).
fof(f305,plain,
! [X2,X3] :
( ~ occurrence_of(X2,X3)
| atomic(X3)
| sP31(X2) ),
inference(cnf_transformation,[],[f305_D]) ).
fof(f305_D,plain,
! [X2] :
( ! [X3] :
( ~ occurrence_of(X2,X3)
| atomic(X3) )
<=> ~ sP31(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,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(f6777,plain,
leaf_occ(sK20(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f6434,f255]) ).
fof(f255,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| leaf_occ(sK20(X0,X1),X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( leaf_occ(sK20(X0,X1),X0)
& next_subocc(sK19(X0,X1),sK20(X0,X1),tptp0)
& ( occurrence_of(sK20(X0,X1),tptp2)
| occurrence_of(sK20(X0,X1),tptp1) )
& next_subocc(sK18(X0,X1),sK19(X0,X1),tptp0)
& occurrence_of(sK19(X0,X1),tptp4)
& next_subocc(X1,sK18(X0,X1),tptp0)
& occurrence_of(sK18(X0,X1),tptp3) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f170,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf_occ(X4,X0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X1,X2,tptp0)
& occurrence_of(X2,tptp3) )
=> ( leaf_occ(sK20(X0,X1),X0)
& next_subocc(sK19(X0,X1),sK20(X0,X1),tptp0)
& ( occurrence_of(sK20(X0,X1),tptp2)
| occurrence_of(sK20(X0,X1),tptp1) )
& next_subocc(sK18(X0,X1),sK19(X0,X1),tptp0)
& occurrence_of(sK19(X0,X1),tptp4)
& next_subocc(X1,sK18(X0,X1),tptp0)
& occurrence_of(sK18(X0,X1),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf_occ(X4,X0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X1,X2,tptp0)
& occurrence_of(X2,tptp3) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( leaf_occ(X4,X1)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| ~ sP4(X1,X0) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( leaf_occ(X4,X1)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| ~ sP4(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f6434,plain,
sP4(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),
inference(subsumption_resolution,[],[f6433,f1547]) ).
fof(f1547,plain,
occurrence_of(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f1251,f278]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| occurrence_of(sK25(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,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) )
| ~ sP6(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f189,f190]) ).
fof(f190,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(f189,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP6(X0,X1,X2) ),
inference(rectify,[],[f188]) ).
fof(f188,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP6(X2,X1,X0) ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP6(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1251,plain,
sP6(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),
inference(unit_resulting_resolution,[],[f1043,f281]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP6(X2,X1,X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( sP6(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f110,f138]) ).
fof(f110,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,[],[f71]) ).
fof(f71,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(f1043,plain,
min_precedes(sK19(sK12,sK11),sK20(sK12,sK11),tptp0),
inference(unit_resulting_resolution,[],[f1015,f291]) ).
fof(f1015,plain,
sP8(tptp0,sK20(sK12,sK11),sK19(sK12,sK11)),
inference(unit_resulting_resolution,[],[f734,f295]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| sP8(X2,X1,X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ sP8(X2,X1,X0) )
& ( sP8(X2,X1,X0)
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> sP8(X2,X1,X0) ),
inference(definition_folding,[],[f120,f142]) ).
fof(f120,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,[],[f77]) ).
fof(f77,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(f734,plain,
next_subocc(sK19(sK12,sK11),sK20(sK12,sK11),tptp0),
inference(unit_resulting_resolution,[],[f725,f254]) ).
fof(f254,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| next_subocc(sK19(X0,X1),sK20(X0,X1),tptp0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f725,plain,
sP4(sK12,sK11),
inference(unit_resulting_resolution,[],[f212,f211,f213,f210,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| sP4(X1,X0)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( sP4(X1,X0)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(definition_folding,[],[f103,f134]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf_occ(X4,X1)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf_occ(X4,X1)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3,X4] :
( leaf_occ(X4,X1)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X95,X96] :
( ( ~ leaf_occ(X95,X96)
& arboreal(X95)
& subactivity_occurrence(X95,X96)
& occurrence_of(X96,tptp0) )
=> ? [X97,X98,X99] :
( leaf_occ(X99,X96)
& next_subocc(X98,X99,tptp0)
& ( occurrence_of(X99,tptp2)
| occurrence_of(X99,tptp1) )
& next_subocc(X97,X98,tptp0)
& occurrence_of(X98,tptp4)
& next_subocc(X95,X97,tptp0)
& occurrence_of(X97,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f210,plain,
occurrence_of(sK12,tptp0),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ! [X2,X3] :
( ( sP1(X2)
& occurrence_of(X3,tptp2) )
| sP3(X2,X3)
| ~ leaf_occ(X3,sK12)
| ~ min_precedes(X2,X3,tptp0)
| sP2(X3)
| ~ next_subocc(sK11,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK11,sK12)
& arboreal(sK11)
& subactivity_occurrence(sK11,sK12)
& occurrence_of(sK12,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f133,f156]) ).
fof(f156,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( sP1(X2)
& occurrence_of(X3,tptp2) )
| sP3(X2,X3)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| sP2(X3)
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ( ! [X3,X2] :
( ( sP1(X2)
& occurrence_of(X3,tptp2) )
| sP3(X2,X3)
| ~ leaf_occ(X3,sK12)
| ~ min_precedes(X2,X3,tptp0)
| sP2(X3)
| ~ next_subocc(sK11,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK11,sK12)
& arboreal(sK11)
& subactivity_occurrence(sK11,sK12)
& occurrence_of(sK12,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
? [X0,X1] :
( ! [X2,X3] :
( ( sP1(X2)
& occurrence_of(X3,tptp2) )
| sP3(X2,X3)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| sP2(X3)
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(definition_folding,[],[f84,f132,f131,f130,f129]) ).
fof(f129,plain,
! [X2] :
( ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) )
| ~ sP0(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f130,plain,
! [X2] :
( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
| ~ sP1(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f131,plain,
! [X3] :
( ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ sP2(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f132,plain,
! [X2,X3] :
( ( sP0(X2)
& occurrence_of(X3,tptp1) )
| ~ sP3(X2,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f84,plain,
? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| ( ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) )
& occurrence_of(X3,tptp1) )
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| ( ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) )
& occurrence_of(X3,tptp1) )
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3] :
( ( occurrence_of(X3,tptp2)
=> ~ ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) ) )
& ( occurrence_of(X3,tptp1)
=> ~ ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) ) )
& leaf_occ(X3,X1)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f47]) ).
fof(f47,negated_conjecture,
~ ! [X100,X101] :
( ( ~ leaf_occ(X100,X101)
& arboreal(X100)
& subactivity_occurrence(X100,X101)
& occurrence_of(X101,tptp0) )
=> ? [X102,X103] :
( ( occurrence_of(X103,tptp2)
=> ~ ? [X105] :
( min_precedes(X102,X105,tptp0)
& occurrence_of(X105,tptp1) ) )
& ( occurrence_of(X103,tptp1)
=> ~ ? [X104] :
( min_precedes(X102,X104,tptp0)
& occurrence_of(X104,tptp2) ) )
& leaf_occ(X103,X101)
& min_precedes(X102,X103,tptp0)
& ( occurrence_of(X103,tptp2)
| occurrence_of(X103,tptp1) )
& next_subocc(X100,X102,tptp0)
& occurrence_of(X102,tptp3) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
! [X100,X101] :
( ( ~ leaf_occ(X100,X101)
& arboreal(X100)
& subactivity_occurrence(X100,X101)
& occurrence_of(X101,tptp0) )
=> ? [X102,X103] :
( ( occurrence_of(X103,tptp2)
=> ~ ? [X105] :
( min_precedes(X102,X105,tptp0)
& occurrence_of(X105,tptp1) ) )
& ( occurrence_of(X103,tptp1)
=> ~ ? [X104] :
( min_precedes(X102,X104,tptp0)
& occurrence_of(X104,tptp2) ) )
& leaf_occ(X103,X101)
& min_precedes(X102,X103,tptp0)
& ( occurrence_of(X103,tptp2)
| occurrence_of(X103,tptp1) )
& next_subocc(X100,X102,tptp0)
& occurrence_of(X102,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f213,plain,
~ leaf_occ(sK11,sK12),
inference(cnf_transformation,[],[f157]) ).
fof(f211,plain,
subactivity_occurrence(sK11,sK12),
inference(cnf_transformation,[],[f157]) ).
fof(f212,plain,
arboreal(sK11),
inference(cnf_transformation,[],[f157]) ).
fof(f6433,plain,
( sP4(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11))
| ~ occurrence_of(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),tptp0) ),
inference(subsumption_resolution,[],[f6432,f779]) ).
fof(f779,plain,
arboreal(sK19(sK12,sK11)),
inference(unit_resulting_resolution,[],[f218,f732,f241]) ).
fof(f241,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,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(f732,plain,
occurrence_of(sK19(sK12,sK11),tptp4),
inference(unit_resulting_resolution,[],[f725,f251]) ).
fof(f251,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| occurrence_of(sK19(X0,X1),tptp4) ),
inference(cnf_transformation,[],[f172]) ).
fof(f218,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f6432,plain,
( ~ arboreal(sK19(sK12,sK11))
| sP4(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11))
| ~ occurrence_of(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),tptp0) ),
inference(subsumption_resolution,[],[f6427,f3065]) ).
fof(f3065,plain,
~ leaf_occ(sK19(sK12,sK11),sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f1265,f1547,f304]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ sP30(X2,X1)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(general_splitting,[],[f289,f303_D]) ).
fof(f303,plain,
! [X2,X3,X1] :
( ~ min_precedes(X1,X3,X2)
| sP30(X2,X1) ),
inference(cnf_transformation,[],[f303_D]) ).
fof(f303_D,plain,
! [X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
<=> ~ sP30(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,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(f1265,plain,
sP30(tptp0,sK19(sK12,sK11)),
inference(unit_resulting_resolution,[],[f1043,f303]) ).
fof(f6427,plain,
( leaf_occ(sK19(sK12,sK11),sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0))
| ~ arboreal(sK19(sK12,sK11))
| sP4(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11))
| ~ occurrence_of(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),tptp0) ),
inference(resolution,[],[f1546,f256]) ).
fof(f1546,plain,
subactivity_occurrence(sK19(sK12,sK11),sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f1251,f279]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| subactivity_occurrence(X1,sK25(X0,X1,X2)) ),
inference(cnf_transformation,[],[f191]) ).
fof(f6412,plain,
leaf_occ(sK20(sK12,sK11),sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f1280,f1547,f1545,f273]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ leaf(X0,X2)
| leaf_occ(X0,X1)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( leaf(X0,sK24(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK24(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f185,f186]) ).
fof(f186,plain,
! [X0,X1] :
( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( leaf(X0,sK24(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK24(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,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,[],[f184]) ).
fof(f184,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,[],[f67]) ).
fof(f67,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(f1545,plain,
subactivity_occurrence(sK20(sK12,sK11),sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f1251,f280]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| subactivity_occurrence(X0,sK25(X0,X1,X2)) ),
inference(cnf_transformation,[],[f191]) ).
fof(f1280,plain,
leaf(sK20(sK12,sK11),tptp0),
inference(unit_resulting_resolution,[],[f1248,f262]) ).
fof(f262,plain,
! [X0,X1] :
( ~ sP5(X1,X0)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ~ sP5(X1,X0) )
& ( sP5(X1,X0)
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> sP5(X1,X0) ),
inference(definition_folding,[],[f104,f136]) ).
fof(f136,plain,
! [X1,X0] :
( sP5(X1,X0)
<=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f104,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,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(f1248,plain,
sP5(tptp0,sK20(sK12,sK11)),
inference(unit_resulting_resolution,[],[f836,f1043,f260]) ).
fof(f260,plain,
! [X3,X0,X1] :
( ~ min_precedes(X3,X1,X0)
| min_precedes(X1,sK21(X0,X1),X0)
| sP5(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ( sP5(X0,X1)
| min_precedes(X1,sK21(X0,X1),X0)
| ( ! [X3] : ~ min_precedes(X3,X1,X0)
& ~ root(X1,X0) ) )
& ( ( ! [X4] : ~ min_precedes(X1,X4,X0)
& ( min_precedes(sK22(X0,X1),X1,X0)
| root(X1,X0) ) )
| ~ sP5(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f175,f177,f176]) ).
fof(f176,plain,
! [X0,X1] :
( ? [X2] : min_precedes(X1,X2,X0)
=> min_precedes(X1,sK21(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0,X1] :
( ? [X5] : min_precedes(X5,X1,X0)
=> min_precedes(sK22(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X0,X1] :
( ( sP5(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) ) )
| ~ sP5(X0,X1) ) ),
inference(rectify,[],[f174]) ).
fof(f174,plain,
! [X1,X0] :
( ( sP5(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) ) )
| ~ sP5(X1,X0) ) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X1,X0] :
( ( sP5(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) ) )
| ~ sP5(X1,X0) ) ),
inference(nnf_transformation,[],[f136]) ).
fof(f836,plain,
! [X0] : ~ min_precedes(sK20(sK12,sK11),X0,tptp0),
inference(unit_resulting_resolution,[],[f822,f303]) ).
fof(f822,plain,
~ sP30(tptp0,sK20(sK12,sK11)),
inference(forward_demodulation,[],[f814,f384]) ).
fof(f384,plain,
tptp0 = sK13(sK12),
inference(unit_resulting_resolution,[],[f210,f330,f290]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,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(f330,plain,
occurrence_of(sK12,sK13(sK12)),
inference(unit_resulting_resolution,[],[f317,f231]) ).
fof(f231,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( occurrence_of(X0,sK13(X0))
& activity(sK13(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f87,f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
=> ( occurrence_of(X0,sK13(X0))
& activity(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,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(f317,plain,
activity_occurrence(sK12),
inference(unit_resulting_resolution,[],[f211,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity_occurrence(X0) )
| ~ subactivity_occurrence(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,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(f814,plain,
~ sP30(sK13(sK12),sK20(sK12,sK11)),
inference(unit_resulting_resolution,[],[f330,f735,f304]) ).
fof(f735,plain,
leaf_occ(sK20(sK12,sK11),sK12),
inference(unit_resulting_resolution,[],[f725,f255]) ).
fof(f3067,plain,
sP31(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0)),
inference(unit_resulting_resolution,[],[f216,f1547,f305]) ).
fof(f216,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(f162402,plain,
sP8(tptp0,sK20(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK19(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11))),
inference(unit_resulting_resolution,[],[f6776,f295]) ).
fof(f6776,plain,
next_subocc(sK19(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK20(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),tptp0),
inference(unit_resulting_resolution,[],[f6434,f254]) ).
fof(f49781,plain,
~ min_precedes(sK18(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK20(sK12,sK11),tptp0),
inference(unit_resulting_resolution,[],[f1015,f46806,f292]) ).
fof(f292,plain,
! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ min_precedes(X2,X4,X0)
| ~ min_precedes(X4,X1,X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f46806,plain,
min_precedes(sK19(sK12,sK11),sK18(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),tptp0),
inference(unit_resulting_resolution,[],[f44709,f291]) ).
fof(f44709,plain,
sP8(tptp0,sK18(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK19(sK12,sK11)),
inference(unit_resulting_resolution,[],[f6773,f295]) ).
fof(f6773,plain,
next_subocc(sK19(sK12,sK11),sK18(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),tptp0),
inference(unit_resulting_resolution,[],[f6434,f250]) ).
fof(f250,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| next_subocc(X1,sK18(X0,X1),tptp0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f669905,plain,
min_precedes(sK18(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK19(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),tptp0),
inference(unit_resulting_resolution,[],[f161390,f291]) ).
fof(f161390,plain,
sP8(tptp0,sK19(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK18(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11))),
inference(unit_resulting_resolution,[],[f6775,f295]) ).
fof(f6775,plain,
next_subocc(sK18(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),sK19(sK25(sK20(sK12,sK11),sK19(sK12,sK11),tptp0),sK19(sK12,sK11)),tptp0),
inference(unit_resulting_resolution,[],[f6434,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| next_subocc(sK18(X0,X1),sK19(X0,X1),tptp0) ),
inference(cnf_transformation,[],[f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO016+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
% 0.14/0.35 % Computer : n019.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 :
% 0.14/0.36 % (6922)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6925)WARNING: value z3 for option sas not known
% 0.14/0.37 % (6926)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (6927)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)
% 0.14/0.37 % (6923)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (6925)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (6924)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (6928)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (6929)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [4]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 Detected minimum model sizes of [4]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.22/0.40 TRYING [5]
% 0.22/0.41 TRYING [5]
% 0.22/0.47 TRYING [6]
% 0.22/0.47 TRYING [6]
% 0.22/0.55 TRYING [7]
% 0.22/0.56 TRYING [7]
% 2.68/0.72 TRYING [8]
% 2.68/0.75 TRYING [8]
% 6.23/1.25 TRYING [9]
% 6.23/1.25 TRYING [9]
% 7.94/1.48 Detected minimum model sizes of [4]
% 7.94/1.48 Detected maximum model sizes of [max]
% 7.94/1.48 TRYING [4]
% 7.94/1.49 TRYING [5]
% 8.31/1.52 TRYING [6]
% 8.34/1.60 TRYING [7]
% 9.48/1.77 TRYING [8]
% 13.14/2.29 TRYING [9]
% 20.71/3.29 TRYING [10]
% 21.52/3.47 TRYING [10]
% 25.77/4.06 TRYING [10]
% 82.72/12.14 TRYING [11]
% 83.26/12.21 TRYING [11]
% 88.31/12.92 TRYING [11]
% 209.17/30.14 % (6929)First to succeed.
% 209.17/30.15 % (6929)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6922"
% 209.17/30.17 % (6929)Refutation found. Thanks to Tanya!
% 209.17/30.17 % SZS status Theorem for theBenchmark
% 209.17/30.17 % SZS output start Proof for theBenchmark
% See solution above
% 209.17/30.17 % (6929)------------------------------
% 209.17/30.17 % (6929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 209.17/30.17 % (6929)Termination reason: Refutation
% 209.17/30.17
% 209.17/30.17 % (6929)Memory used [KB]: 192571
% 209.17/30.17 % (6929)Time elapsed: 29.777 s
% 209.17/30.17 % (6929)Instructions burned: 112038 (million)
% 209.17/30.17 % (6922)Success in time 29.405 s
%------------------------------------------------------------------------------