TSTP Solution File: PRO014+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO014+3 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:47:38 EDT 2024
% Result : Theorem 2.69s 0.74s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 24
% Syntax : Number of formulae : 161 ( 57 unt; 0 def)
% Number of atoms : 574 ( 7 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 606 ( 193 ~; 184 |; 189 &)
% ( 9 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 325 ( 269 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14369,plain,
$false,
inference(subsumption_resolution,[],[f14367,f14301]) ).
fof(f14301,plain,
~ occurrence_of(sK11(sK5),tptp2),
inference(unit_resulting_resolution,[],[f1318,f1323,f1319,f14270,f258]) ).
fof(f258,plain,
! [X2,X3] :
( ~ next_subocc(sK5,X2,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ~ occurrence_of(X3,tptp2)
| ~ leaf(X3,tptp0)
| ~ occurrence_of(X2,tptp3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(sK5,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK5,sK6)
& arboreal(sK5)
& subactivity_occurrence(sK5,sK6)
& occurrence_of(sK6,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f117,f202]) ).
fof(f202,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ 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] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(sK5,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK5,sK6)
& arboreal(sK5)
& subactivity_occurrence(sK5,sK6)
& occurrence_of(sK6,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ 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,[],[f116]) ).
fof(f116,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ 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,[],[f65]) ).
fof(f65,plain,
~ ! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3] :
( leaf(X3,tptp0)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X166,X167] :
( ( ~ leaf_occ(X166,X167)
& arboreal(X166)
& subactivity_occurrence(X166,X167)
& occurrence_of(X167,tptp0) )
=> ? [X168,X169] :
( leaf(X169,tptp0)
& min_precedes(X168,X169,tptp0)
& ( occurrence_of(X169,tptp1)
| occurrence_of(X169,tptp2) )
& next_subocc(X166,X168,tptp0)
& occurrence_of(X168,tptp3) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X166,X167] :
( ( ~ leaf_occ(X166,X167)
& arboreal(X166)
& subactivity_occurrence(X166,X167)
& occurrence_of(X167,tptp0) )
=> ? [X168,X169] :
( leaf(X169,tptp0)
& min_precedes(X168,X169,tptp0)
& ( occurrence_of(X169,tptp1)
| occurrence_of(X169,tptp2) )
& next_subocc(X166,X168,tptp0)
& occurrence_of(X168,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f14270,plain,
min_precedes(sK9(sK5),sK11(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1997,f1455,f14243,f361]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X2,X3)
| ~ precedes(X1,X2)
| min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( min_precedes(X1,X2,X3)
| ~ precedes(X1,X2)
| ~ min_precedes(X0,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( min_precedes(X1,X2,X3)
| ~ precedes(X1,X2)
| ~ min_precedes(X0,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ( precedes(X1,X2)
& min_precedes(X0,X2,X3)
& min_precedes(X0,X1,X3) )
=> min_precedes(X1,X2,X3) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X45,X46,X47,X48] :
( ( precedes(X46,X47)
& min_precedes(X45,X47,X48)
& min_precedes(X45,X46,X48) )
=> min_precedes(X46,X47,X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(f14243,plain,
min_precedes(sK19(sK9(sK5),tptp0),sK11(sK5),tptp0),
inference(forward_demodulation,[],[f14166,f12965]) ).
fof(f12965,plain,
sK19(sK9(sK5),tptp0) = sK19(sK10(sK5),tptp0),
inference(unit_resulting_resolution,[],[f2041,f2066,f1404,f5294,f2030,f2055,f4897,f350]) ).
fof(f350,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,[],[f165]) ).
fof(f165,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,[],[f164]) ).
fof(f164,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,[],[f101]) ).
fof(f101,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,
! [X79,X80,X81,X82] :
( ( subactivity_occurrence(X82,X80)
& subactivity_occurrence(X81,X80)
& arboreal(X82)
& arboreal(X81)
& occurrence_of(X80,X79) )
=> ( X81 = X82
| min_precedes(X82,X81,X79)
| min_precedes(X81,X82,X79) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(f4897,plain,
subactivity_occurrence(sK19(sK9(sK5),tptp0),sK12(sK11(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f1404,f2365,f1455,f359]) ).
fof(f359,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,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f180]) ).
fof(f180,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,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(f2365,plain,
subactivity_occurrence(sK9(sK5),sK12(sK11(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f1720,f1404,f2247,f359]) ).
fof(f2247,plain,
subactivity_occurrence(sK10(sK5),sK12(sK11(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f1725,f1404,f2236,f359]) ).
fof(f2236,plain,
subactivity_occurrence(sK11(sK5),sK12(sK11(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f1403,f313]) ).
fof(f313,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( leaf(X0,sK17(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK17(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f229,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( leaf(X0,sK17(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,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,[],[f228]) ).
fof(f228,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,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f1403,plain,
leaf_occ(sK11(sK5),sK12(sK11(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f260,f1323,f296]) ).
fof(f296,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| leaf_occ(X0,sK12(X0,X1)) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1] :
( ( leaf_occ(X0,sK12(X0,X1))
& occurrence_of(sK12(X0,X1),X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f132,f213]) ).
fof(f213,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
=> ( leaf_occ(X0,sK12(X0,X1))
& occurrence_of(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( ~ atomic(X1)
& leaf(X0,X1) )
=> ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X145,X146] :
( ( ~ atomic(X146)
& leaf(X145,X146) )
=> ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f260,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(f1725,plain,
min_precedes(sK10(sK5),sK11(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1642,f343]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| min_precedes(X2,X1,X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ( min_precedes(sK23(X0,X1,X2),X1,X0)
& min_precedes(X2,sK23(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,[sK23])],[f248,f249]) ).
fof(f249,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
=> ( min_precedes(sK23(X0,X1,X2),X1,X0)
& min_precedes(X2,sK23(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f248,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,[],[f247]) ).
fof(f247,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,[],[f246]) ).
fof(f246,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,[],[f200]) ).
fof(f200,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(f1642,plain,
sP4(tptp0,sK11(sK5),sK10(sK5)),
inference(unit_resulting_resolution,[],[f1322,f347]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| sP4(X2,X1,X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,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,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> sP4(X2,X1,X0) ),
inference(definition_folding,[],[f161,f200]) ).
fof(f161,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,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X60,X61,X62] :
( next_subocc(X60,X61,X62)
<=> ( ~ ? [X63] :
( min_precedes(X63,X61,X62)
& min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f1322,plain,
next_subocc(sK10(sK5),sK11(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1305,f292]) ).
fof(f292,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK10(X0),sK11(X0),tptp0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ( leaf(sK11(X0),tptp0)
& next_subocc(sK10(X0),sK11(X0),tptp0)
& ( occurrence_of(sK11(X0),tptp1)
| occurrence_of(sK11(X0),tptp2) )
& next_subocc(sK9(X0),sK10(X0),tptp0)
& occurrence_of(sK10(X0),tptp4)
& next_subocc(X0,sK9(X0),tptp0)
& occurrence_of(sK9(X0),tptp3) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f210,f211]) ).
fof(f211,plain,
! [X0] :
( ? [X1,X2,X3] :
( leaf(X3,tptp0)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& next_subocc(X0,X1,tptp0)
& occurrence_of(X1,tptp3) )
=> ( leaf(sK11(X0),tptp0)
& next_subocc(sK10(X0),sK11(X0),tptp0)
& ( occurrence_of(sK11(X0),tptp1)
| occurrence_of(sK11(X0),tptp2) )
& next_subocc(sK9(X0),sK10(X0),tptp0)
& occurrence_of(sK10(X0),tptp4)
& next_subocc(X0,sK9(X0),tptp0)
& occurrence_of(sK9(X0),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0] :
( ? [X1,X2,X3] :
( leaf(X3,tptp0)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X1,X2,tptp0)
& occurrence_of(X2,tptp4)
& next_subocc(X0,X1,tptp0)
& occurrence_of(X1,tptp3) )
| ~ sP0(X0) ),
inference(rectify,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1305,plain,
sP0(sK5),
inference(unit_resulting_resolution,[],[f256,f255,f257,f254,f294]) ).
fof(f294,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| sP0(X0)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( sP0(X0)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(definition_folding,[],[f130,f192]) ).
fof(f130,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& 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,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& 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,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X161,X162] :
( ( ~ leaf_occ(X161,X162)
& arboreal(X161)
& subactivity_occurrence(X161,X162)
& occurrence_of(X162,tptp0) )
=> ? [X163,X164,X165] :
( leaf(X165,tptp0)
& next_subocc(X164,X165,tptp0)
& ( occurrence_of(X165,tptp1)
| occurrence_of(X165,tptp2) )
& next_subocc(X163,X164,tptp0)
& occurrence_of(X164,tptp4)
& next_subocc(X161,X163,tptp0)
& occurrence_of(X163,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(f254,plain,
occurrence_of(sK6,tptp0),
inference(cnf_transformation,[],[f203]) ).
fof(f257,plain,
~ leaf_occ(sK5,sK6),
inference(cnf_transformation,[],[f203]) ).
fof(f255,plain,
subactivity_occurrence(sK5,sK6),
inference(cnf_transformation,[],[f203]) ).
fof(f256,plain,
arboreal(sK5),
inference(cnf_transformation,[],[f203]) ).
fof(f1720,plain,
min_precedes(sK9(sK5),sK10(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1630,f343]) ).
fof(f1630,plain,
sP4(tptp0,sK10(sK5),sK9(sK5)),
inference(unit_resulting_resolution,[],[f1321,f347]) ).
fof(f1321,plain,
next_subocc(sK9(sK5),sK10(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1305,f290]) ).
fof(f290,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK9(X0),sK10(X0),tptp0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f2055,plain,
! [X0] : ~ min_precedes(X0,sK19(sK10(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f1786,f324]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X35,X36,X37] :
( min_precedes(X35,X36,X37)
=> ~ root(X36,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f1786,plain,
root(sK19(sK10(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f1720,f326]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK19(X1,X2),X2) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2] :
( ( min_precedes(sK19(X1,X2),X1,X2)
& root(sK19(X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f146,f236]) ).
fof(f236,plain,
! [X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
=> ( min_precedes(sK19(X1,X2),X1,X2)
& root(sK19(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X31,X32,X33] :
( min_precedes(X31,X32,X33)
=> ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f2030,plain,
! [X0] : ~ min_precedes(X0,sK19(sK9(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f1454,f324]) ).
fof(f1454,plain,
root(sK19(sK9(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f1444,f326]) ).
fof(f1444,plain,
min_precedes(sK5,sK9(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1433,f343]) ).
fof(f1433,plain,
sP4(tptp0,sK9(sK5),sK5),
inference(unit_resulting_resolution,[],[f1319,f347]) ).
fof(f5294,plain,
subactivity_occurrence(sK19(sK10(sK5),tptp0),sK12(sK11(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f1404,f2247,f1787,f359]) ).
fof(f1787,plain,
min_precedes(sK19(sK10(sK5),tptp0),sK10(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1720,f327]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK19(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f237]) ).
fof(f1404,plain,
occurrence_of(sK12(sK11(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f260,f1323,f295]) ).
fof(f295,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| occurrence_of(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f2066,plain,
arboreal(sK19(sK10(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f2050,f272]) ).
fof(f272,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X18] :
( legal(X18)
=> arboreal(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f2050,plain,
legal(sK19(sK10(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f1786,f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X41,X42] :
( root(X41,X42)
=> legal(X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(f2041,plain,
arboreal(sK19(sK9(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f2025,f272]) ).
fof(f2025,plain,
legal(sK19(sK9(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f1454,f276]) ).
fof(f14166,plain,
min_precedes(sK19(sK10(sK5),tptp0),sK11(sK5),tptp0),
inference(superposition,[],[f1912,f12773]) ).
fof(f12773,plain,
sK19(sK10(sK5),tptp0) = sK19(sK11(sK5),tptp0),
inference(unit_resulting_resolution,[],[f2103,f2066,f1404,f5294,f2092,f2055,f5397,f350]) ).
fof(f5397,plain,
subactivity_occurrence(sK19(sK11(sK5),tptp0),sK12(sK11(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f1404,f2236,f1912,f359]) ).
fof(f2092,plain,
! [X0] : ~ min_precedes(X0,sK19(sK11(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f1911,f324]) ).
fof(f1911,plain,
root(sK19(sK11(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f1725,f326]) ).
fof(f2103,plain,
arboreal(sK19(sK11(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f2087,f272]) ).
fof(f2087,plain,
legal(sK19(sK11(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f1911,f276]) ).
fof(f1912,plain,
min_precedes(sK19(sK11(sK5),tptp0),sK11(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1725,f327]) ).
fof(f1455,plain,
min_precedes(sK19(sK9(sK5),tptp0),sK9(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1444,f327]) ).
fof(f1997,plain,
precedes(sK9(sK5),sK11(sK5)),
inference(unit_resulting_resolution,[],[f1951,f1968,f305]) ).
fof(f305,plain,
! [X0,X1] :
( ~ earlier(X0,X1)
| ~ legal(X1)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( precedes(X0,X1)
<=> ( legal(X1)
& earlier(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X21,X22] :
( precedes(X21,X22)
<=> ( legal(X22)
& earlier(X21,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f1968,plain,
earlier(sK9(sK5),sK11(sK5)),
inference(unit_resulting_resolution,[],[f1823,f1950,f337]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ earlier(X1,X2)
| earlier(X0,X2)
| ~ earlier(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( earlier(X0,X2)
| ~ earlier(X1,X2)
| ~ earlier(X0,X1) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( earlier(X0,X2)
| ~ earlier(X1,X2)
| ~ earlier(X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( earlier(X1,X2)
& earlier(X0,X1) )
=> earlier(X0,X2) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X10,X11,X12] :
( ( earlier(X11,X12)
& earlier(X10,X11) )
=> earlier(X10,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f1950,plain,
earlier(sK10(sK5),sK11(sK5)),
inference(unit_resulting_resolution,[],[f1910,f303]) ).
fof(f303,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| earlier(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1910,plain,
precedes(sK10(sK5),sK11(sK5)),
inference(unit_resulting_resolution,[],[f1725,f325]) ).
fof(f325,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X38,X39,X40] :
( min_precedes(X38,X39,X40)
=> precedes(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(f1823,plain,
earlier(sK9(sK5),sK10(sK5)),
inference(unit_resulting_resolution,[],[f1785,f303]) ).
fof(f1785,plain,
precedes(sK9(sK5),sK10(sK5)),
inference(unit_resulting_resolution,[],[f1720,f325]) ).
fof(f1951,plain,
legal(sK11(sK5)),
inference(unit_resulting_resolution,[],[f1910,f304]) ).
fof(f304,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| legal(X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f1319,plain,
next_subocc(sK5,sK9(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1305,f288]) ).
fof(f288,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(X0,sK9(X0),tptp0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f1323,plain,
leaf(sK11(sK5),tptp0),
inference(unit_resulting_resolution,[],[f1305,f293]) ).
fof(f293,plain,
! [X0] :
( ~ sP0(X0)
| leaf(sK11(X0),tptp0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f1318,plain,
occurrence_of(sK9(sK5),tptp3),
inference(unit_resulting_resolution,[],[f1305,f287]) ).
fof(f287,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK9(X0),tptp3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f14367,plain,
occurrence_of(sK11(sK5),tptp2),
inference(unit_resulting_resolution,[],[f1305,f14300,f291]) ).
fof(f291,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK11(X0),tptp2)
| occurrence_of(sK11(X0),tptp1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f14300,plain,
~ occurrence_of(sK11(sK5),tptp1),
inference(unit_resulting_resolution,[],[f1318,f1323,f1319,f14270,f259]) ).
fof(f259,plain,
! [X2,X3] :
( ~ next_subocc(sK5,X2,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ~ occurrence_of(X3,tptp1)
| ~ leaf(X3,tptp0)
| ~ occurrence_of(X2,tptp3) ),
inference(cnf_transformation,[],[f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO014+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.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 % (15592)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (15595)WARNING: value z3 for option sas not known
% 0.20/0.37 % (15595)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)
% 0.20/0.38 % (15593)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (15596)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (15597)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)
% 0.20/0.38 % (15594)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (15598)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)
% 0.20/0.38 % (15599)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)
% 0.20/0.38 Detected minimum model sizes of [4]
% 0.20/0.38 Detected maximum model sizes of [max]
% 0.20/0.38 Detected minimum model sizes of [4]
% 0.20/0.38 Detected maximum model sizes of [max]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4]
% 0.20/0.40 TRYING [5]
% 0.20/0.41 TRYING [5]
% 0.20/0.44 TRYING [6]
% 0.20/0.48 TRYING [6]
% 0.20/0.52 TRYING [7]
% 1.55/0.57 TRYING [7]
% 1.99/0.64 TRYING [8]
% 2.69/0.74 % (15599)First to succeed.
% 2.69/0.74 % (15599)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15592"
% 2.69/0.74 % (15599)Refutation found. Thanks to Tanya!
% 2.69/0.74 % SZS status Theorem for theBenchmark
% 2.69/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/0.74 % (15599)------------------------------
% 2.69/0.74 % (15599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.69/0.74 % (15599)Termination reason: Refutation
% 2.69/0.74
% 2.69/0.74 % (15599)Memory used [KB]: 4728
% 2.69/0.74 % (15599)Time elapsed: 0.363 s
% 2.69/0.74 % (15599)Instructions burned: 959 (million)
% 2.69/0.74 % (15592)Success in time 0.374 s
%------------------------------------------------------------------------------