TSTP Solution File: NUM440+6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM440+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 18:05:08 EDT 2022
% Result : Theorem 1.71s 0.59s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 30
% Syntax : Number of formulae : 159 ( 6 unt; 0 def)
% Number of atoms : 898 ( 33 equ)
% Maximal formula atoms : 64 ( 5 avg)
% Number of connectives : 1073 ( 334 ~; 322 |; 282 &)
% ( 83 <=>; 50 =>; 0 <=; 2 <~>)
% Maximal formula depth : 35 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 26 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 186 ( 160 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1044,plain,
$false,
inference(avatar_sat_refutation,[],[f463,f477,f505,f519,f545,f562,f572,f585,f591,f604,f616,f623,f627,f632,f640,f651,f655,f674,f682,f776,f786,f810,f813,f819,f834,f835,f1032,f1037,f1038,f1039,f1043]) ).
fof(f1043,plain,
( ~ spl31_25
| spl31_46
| spl31_32
| ~ spl31_37 ),
inference(avatar_split_clause,[],[f1042,f649,f613,f1029,f569]) ).
fof(f569,plain,
( spl31_25
<=> aInteger0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_25])]) ).
fof(f1029,plain,
( spl31_46
<=> aElementOf0(sK6,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_46])]) ).
fof(f613,plain,
( spl31_32
<=> aElementOf0(sK6,sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_32])]) ).
fof(f649,plain,
( spl31_37
<=> ! [X2] :
( aElementOf0(X2,xA)
| aElementOf0(X2,sF26)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_37])]) ).
fof(f1042,plain,
( aElementOf0(sK6,xA)
| ~ aInteger0(sK6)
| spl31_32
| ~ spl31_37 ),
inference(resolution,[],[f614,f650]) ).
fof(f650,plain,
( ! [X2] :
( aElementOf0(X2,sF26)
| aElementOf0(X2,xA)
| ~ aInteger0(X2) )
| ~ spl31_37 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f614,plain,
( ~ aElementOf0(sK6,sF26)
| spl31_32 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f1039,plain,
( ~ spl31_25
| spl31_41
| spl31_6
| ~ spl31_30 ),
inference(avatar_split_clause,[],[f840,f602,f474,f807,f569]) ).
fof(f807,plain,
( spl31_41
<=> aElementOf0(sK6,sF28) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_41])]) ).
fof(f474,plain,
( spl31_6
<=> aElementOf0(sK6,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_6])]) ).
fof(f602,plain,
( spl31_30
<=> ! [X1] :
( aElementOf0(X1,sF29)
| aElementOf0(X1,sF28)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_30])]) ).
fof(f840,plain,
( aElementOf0(sK6,sF28)
| ~ aInteger0(sK6)
| spl31_6
| ~ spl31_30 ),
inference(resolution,[],[f475,f603]) ).
fof(f603,plain,
( ! [X1] :
( aElementOf0(X1,sF29)
| ~ aInteger0(X1)
| aElementOf0(X1,sF28) )
| ~ spl31_30 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f475,plain,
( ~ aElementOf0(sK6,sF29)
| spl31_6 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f1038,plain,
( ~ spl31_39
| ~ spl31_46 ),
inference(avatar_split_clause,[],[f1036,f1029,f773]) ).
fof(f773,plain,
( spl31_39
<=> sP7(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_39])]) ).
fof(f1036,plain,
( ~ sP7(sK6)
| ~ spl31_46 ),
inference(resolution,[],[f1031,f140]) ).
fof(f140,plain,
! [X8] :
( ~ aElementOf0(X8,xA)
| ~ sP7(X8) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( aSet0(sdtbsmnsldt0(xA,xB))
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) )
& ! [X3] :
( ( aInteger0(X3)
& ~ aElementOf0(X3,xB) )
<=> aElementOf0(X3,stldt0(xB)) )
& ? [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X4,stldt0(xB))
& aInteger0(X4)
& aElementOf0(X4,stldt0(xA)) ) )
& ! [X2] :
( ( ~ aElementOf0(X2,xA)
& aInteger0(X2) )
<=> aElementOf0(X2,stldt0(xA)) )
& ! [X1] :
( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
<=> aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
| ( ? [X7] :
( aElementOf0(X7,stldt0(xB))
& ~ aElementOf0(X7,cS1395) )
& ! [X6] :
( aInteger0(X6)
<=> aElementOf0(X6,cS1395) )
& ~ aSubsetOf0(stldt0(xB),cS1395)
& ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
& aSet0(cS1395)
& aSet0(stldt0(xB)) )
| ( ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
& ! [X9] :
( aInteger0(X9)
<=> aElementOf0(X9,cS1395) )
& aSet0(stldt0(xA))
& aSet0(cS1395)
& ! [X8] :
( ( aInteger0(X8)
& ~ aElementOf0(X8,xA) )
<=> aElementOf0(X8,stldt0(xA)) )
& ~ aSubsetOf0(stldt0(xA),cS1395) ) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
( ( ~ aSubsetOf0(stldt0(xB),cS1395)
& ? [X7] :
( aElementOf0(X7,stldt0(xB))
& ~ aElementOf0(X7,cS1395) )
& aSet0(cS1395)
& ! [X6] :
( aInteger0(X6)
<=> aElementOf0(X6,cS1395) )
& ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
& aSet0(stldt0(xB)) )
| ( ? [X10] :
( ~ aElementOf0(X10,cS1395)
& aElementOf0(X10,stldt0(xA)) )
& ~ aSubsetOf0(stldt0(xA),cS1395)
& aSet0(cS1395)
& ! [X9] :
( aInteger0(X9)
<=> aElementOf0(X9,cS1395) )
& aSet0(stldt0(xA))
& ! [X8] :
( ( aInteger0(X8)
& ~ aElementOf0(X8,xA) )
<=> aElementOf0(X8,stldt0(xA)) ) )
| ( ? [X4] :
( aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB)))
<~> ( aElementOf0(X4,stldt0(xB))
& aInteger0(X4)
& aElementOf0(X4,stldt0(xA)) ) )
& stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X3] :
( ( aInteger0(X3)
& ~ aElementOf0(X3,xB) )
<=> aElementOf0(X3,stldt0(xB)) )
& ! [X2] :
( ( ~ aElementOf0(X2,xA)
& aInteger0(X2) )
<=> aElementOf0(X2,stldt0(xA)) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
<=> aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) )
& aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ( ( ( ! [X5] :
( aElementOf0(X5,stldt0(xB))
<=> ( ~ aElementOf0(X5,xB)
& aInteger0(X5) ) )
& aSet0(stldt0(xB)) )
=> ( ( aSet0(cS1395)
& ! [X6] :
( aInteger0(X6)
<=> aElementOf0(X6,cS1395) ) )
=> ( aSubsetOf0(stldt0(xB),cS1395)
| ! [X7] :
( aElementOf0(X7,stldt0(xB))
=> aElementOf0(X7,cS1395) ) ) ) )
& ( ( aSet0(stldt0(xA))
& ! [X8] :
( ( aInteger0(X8)
& ~ aElementOf0(X8,xA) )
<=> aElementOf0(X8,stldt0(xA)) ) )
=> ( ( aSet0(cS1395)
& ! [X9] :
( aInteger0(X9)
<=> aElementOf0(X9,cS1395) ) )
=> ( ! [X10] :
( aElementOf0(X10,stldt0(xA))
=> aElementOf0(X10,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) )
=> ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
<=> aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
=> ( ! [X2] :
( ( ~ aElementOf0(X2,xA)
& aInteger0(X2) )
<=> aElementOf0(X2,stldt0(xA)) )
=> ( ! [X3] :
( ( aInteger0(X3)
& ~ aElementOf0(X3,xB) )
<=> aElementOf0(X3,stldt0(xB)) )
=> ( ! [X4] :
( ( aElementOf0(X4,stldt0(xB))
& aInteger0(X4)
& aElementOf0(X4,stldt0(xA)) )
<=> aElementOf0(X4,stldt0(sdtbsmnsldt0(xA,xB))) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ),
inference(rectify,[],[f41]) ).
fof(f41,negated_conjecture,
~ ( ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X0)
& aElementOf0(X0,stldt0(xA))
& aElementOf0(X0,stldt0(xB)) ) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
( ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X0)
& ( aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ) ) )
=> ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X0)
& aElementOf0(X0,stldt0(xA))
& aElementOf0(X0,stldt0(xB)) ) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) ) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) )
=> ( ( aSet0(cS1395)
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) ) )
=> ( ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1031,plain,
( aElementOf0(sK6,xA)
| ~ spl31_46 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1037,plain,
( ~ spl31_20
| ~ spl31_32
| ~ spl31_46 ),
inference(avatar_contradiction_clause,[],[f1033]) ).
fof(f1033,plain,
( $false
| ~ spl31_20
| ~ spl31_32
| ~ spl31_46 ),
inference(resolution,[],[f1031,f788]) ).
fof(f788,plain,
( ~ aElementOf0(sK6,xA)
| ~ spl31_20
| ~ spl31_32 ),
inference(resolution,[],[f615,f544]) ).
fof(f544,plain,
( ! [X2] :
( ~ aElementOf0(X2,sF26)
| ~ aElementOf0(X2,xA) )
| ~ spl31_20 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl31_20
<=> ! [X2] :
( ~ aElementOf0(X2,sF26)
| ~ aElementOf0(X2,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_20])]) ).
fof(f615,plain,
( aElementOf0(sK6,sF26)
| ~ spl31_32 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f1032,plain,
( spl31_46
| spl31_40
| ~ spl31_27
| ~ spl31_41 ),
inference(avatar_split_clause,[],[f1027,f807,f583,f783,f1029]) ).
fof(f783,plain,
( spl31_40
<=> aElementOf0(sK6,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_40])]) ).
fof(f583,plain,
( spl31_27
<=> ! [X0] :
( ~ aElementOf0(X0,sF28)
| aElementOf0(X0,xA)
| aElementOf0(X0,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_27])]) ).
fof(f1027,plain,
( aElementOf0(sK6,xB)
| aElementOf0(sK6,xA)
| ~ spl31_27
| ~ spl31_41 ),
inference(resolution,[],[f584,f809]) ).
fof(f809,plain,
( aElementOf0(sK6,sF28)
| ~ spl31_41 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f584,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF28)
| aElementOf0(X0,xA)
| aElementOf0(X0,xB) )
| ~ spl31_27 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f835,plain,
spl31_13,
inference(avatar_split_clause,[],[f690,f507]) ).
fof(f507,plain,
( spl31_13
<=> ! [X3] :
( ~ aElementOf0(X3,sF27)
| aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_13])]) ).
fof(f690,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,sF27) ),
inference(superposition,[],[f241,f388]) ).
fof(f388,plain,
stldt0(xB) = sF27,
introduced(function_definition,[]) ).
fof(f241,plain,
! [X17] :
( ~ aElementOf0(X17,stldt0(xB))
| aInteger0(X17) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ! [X10] :
( ( aInteger0(X10)
& ~ aElementOf0(X10,xA) )
<=> aElementOf0(X10,stldt0(xA)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& ! [X17] :
( ( aInteger0(X17)
& ~ aElementOf0(X17,xB) )
<=> aElementOf0(X17,stldt0(xB)) )
& isOpen0(stldt0(xA))
& aSet0(stldt0(xB))
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(xB)
& isOpen0(stldt0(xB))
& aSet0(stldt0(xA))
& aSet0(cS1395)
& isClosed0(xA)
& ! [X11] :
( ? [X12] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X11,X12))
& sz00 != X12
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,X12),stldt0(xA))
& aInteger0(X12)
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,X12)) )
& ! [X14] :
( ( ( ! [X15] :
( ~ aInteger0(X15)
| sdtpldt0(X14,smndt0(X11)) != sdtasdt0(X12,X15) )
& ~ sdteqdtlpzmzozddtrp0(X14,X11,X12)
& ~ aDivisorOf0(X12,sdtpldt0(X14,smndt0(X11))) )
| aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X11,X12))
| ~ aInteger0(X14) )
& ( ( ? [X16] :
( aInteger0(X16)
& sdtasdt0(X12,X16) = sdtpldt0(X14,smndt0(X11)) )
& aDivisorOf0(X12,sdtpldt0(X14,smndt0(X11)))
& aInteger0(X14)
& sdteqdtlpzmzozddtrp0(X14,X11,X12) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X11,X12)) ) ) )
| ~ aElementOf0(X11,stldt0(xA)) )
& aSet0(cS1395)
& ! [X2] :
( ~ aElementOf0(X2,stldt0(xB))
| ? [X3] :
( ! [X5] :
( ( ~ aInteger0(X5)
| aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ! [X7] :
( ~ aInteger0(X7)
| sdtasdt0(X3,X7) != sdtpldt0(X5,smndt0(X2)) )
& ~ aDivisorOf0(X3,sdtpldt0(X5,smndt0(X2)))
& ~ sdteqdtlpzmzozddtrp0(X5,X2,X3) ) )
& ( ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( sdteqdtlpzmzozddtrp0(X5,X2,X3)
& ? [X6] :
( aInteger0(X6)
& sdtpldt0(X5,smndt0(X2)) = sdtasdt0(X3,X6) )
& aInteger0(X5)
& aDivisorOf0(X3,sdtpldt0(X5,smndt0(X2))) ) ) )
& sz00 != X3
& ! [X4] :
( aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(xB))
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& aInteger0(X3) ) )
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xB) )
& aSet0(xA)
& aSubsetOf0(xB,cS1395)
& isClosed0(xB)
& ! [X8] :
( ~ aElementOf0(X8,xA)
| aElementOf0(X8,cS1395) ) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
( aSet0(cS1395)
& aSet0(xB)
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) )
& ! [X10] :
( ( aInteger0(X10)
& ~ aElementOf0(X10,xA) )
<=> aElementOf0(X10,stldt0(xA)) )
& isClosed0(xB)
& isOpen0(stldt0(xB))
& aSet0(stldt0(xB))
& ! [X17] :
( ( aInteger0(X17)
& ~ aElementOf0(X17,xB) )
<=> aElementOf0(X17,stldt0(xB)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X8] :
( ~ aElementOf0(X8,xA)
| aElementOf0(X8,cS1395) )
& aSet0(xA)
& isOpen0(stldt0(xA))
& isClosed0(xA)
& ! [X1] :
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xB) )
& ! [X2] :
( ? [X3] :
( sz00 != X3
& ! [X5] :
( ( ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( sdteqdtlpzmzozddtrp0(X5,X2,X3)
& ? [X6] :
( aInteger0(X6)
& sdtpldt0(X5,smndt0(X2)) = sdtasdt0(X3,X6) )
& aInteger0(X5)
& aDivisorOf0(X3,sdtpldt0(X5,smndt0(X2))) ) )
& ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ! [X7] :
( ~ aInteger0(X7)
| sdtasdt0(X3,X7) != sdtpldt0(X5,smndt0(X2)) )
& ~ aDivisorOf0(X3,sdtpldt0(X5,smndt0(X2)))
& ~ sdteqdtlpzmzozddtrp0(X5,X2,X3) )
| ~ aInteger0(X5) ) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(xB))
& ! [X4] :
( aElementOf0(X4,stldt0(xB))
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& aInteger0(X3)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| ~ aElementOf0(X2,stldt0(xB)) )
& aSubsetOf0(xA,cS1395)
& ! [X11] :
( ? [X12] :
( aInteger0(X12)
& sz00 != X12
& ! [X14] :
( ( ( ? [X16] :
( aInteger0(X16)
& sdtasdt0(X12,X16) = sdtpldt0(X14,smndt0(X11)) )
& aDivisorOf0(X12,sdtpldt0(X14,smndt0(X11)))
& aInteger0(X14)
& sdteqdtlpzmzozddtrp0(X14,X11,X12) )
| ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X11,X12)) )
& ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X11,X12))
| ( ! [X15] :
( ~ aInteger0(X15)
| sdtpldt0(X14,smndt0(X11)) != sdtasdt0(X12,X15) )
& ~ sdteqdtlpzmzozddtrp0(X14,X11,X12)
& ~ aDivisorOf0(X12,sdtpldt0(X14,smndt0(X11))) )
| ~ aInteger0(X14) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X11,X12))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,X12),stldt0(xA))
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
| ~ aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,X12)) ) )
| ~ aElementOf0(X11,stldt0(xA)) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
( aSet0(cS1395)
& aSet0(xB)
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) )
& ! [X10] :
( ( aInteger0(X10)
& ~ aElementOf0(X10,xA) )
<=> aElementOf0(X10,stldt0(xA)) )
& isClosed0(xB)
& isOpen0(stldt0(xB))
& aSet0(stldt0(xB))
& ! [X17] :
( ( aInteger0(X17)
& ~ aElementOf0(X17,xB) )
<=> aElementOf0(X17,stldt0(xB)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X8] :
( aElementOf0(X8,xA)
=> aElementOf0(X8,cS1395) )
& aSet0(xA)
& isOpen0(stldt0(xA))
& isClosed0(xA)
& ! [X1] :
( aElementOf0(X1,xB)
=> aElementOf0(X1,cS1395) )
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
=> ? [X3] :
( sz00 != X3
& ! [X5] :
( ( aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X5,X2,X3)
& ? [X6] :
( aInteger0(X6)
& sdtpldt0(X5,smndt0(X2)) = sdtasdt0(X3,X6) )
& aInteger0(X5)
& aDivisorOf0(X3,sdtpldt0(X5,smndt0(X2))) ) )
& ( ( ( sdteqdtlpzmzozddtrp0(X5,X2,X3)
| ? [X7] :
( sdtasdt0(X3,X7) = sdtpldt0(X5,smndt0(X2))
& aInteger0(X7) )
| aDivisorOf0(X3,sdtpldt0(X5,smndt0(X2))) )
& aInteger0(X5) )
=> aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(xB))
& ! [X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X4,stldt0(xB)) )
& aInteger0(X3)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSubsetOf0(xA,cS1395)
& ! [X11] :
( aElementOf0(X11,stldt0(xA))
=> ? [X12] :
( aInteger0(X12)
& sz00 != X12
& ! [X14] :
( ( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X11,X12))
=> ( ? [X16] :
( aInteger0(X16)
& sdtasdt0(X12,X16) = sdtpldt0(X14,smndt0(X11)) )
& aDivisorOf0(X12,sdtpldt0(X14,smndt0(X11)))
& aInteger0(X14)
& sdteqdtlpzmzozddtrp0(X14,X11,X12) ) )
& ( ( ( aDivisorOf0(X12,sdtpldt0(X14,smndt0(X11)))
| ? [X15] :
( aInteger0(X15)
& sdtpldt0(X14,smndt0(X11)) = sdtasdt0(X12,X15) )
| sdteqdtlpzmzozddtrp0(X14,X11,X12) )
& aInteger0(X14) )
=> aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X11,X12)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X11,X12))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X11,X12),stldt0(xA))
& ! [X13] :
( aElementOf0(X13,szAzrzSzezqlpdtcmdtrp0(X11,X12))
=> aElementOf0(X13,stldt0(xA)) ) ) ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
( isOpen0(stldt0(xB))
& aSubsetOf0(xB,cS1395)
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) )
& aSet0(xA)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,cS1395) )
& aSet0(cS1395)
& isClosed0(xA)
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> ? [X1] :
( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& aInteger0(X1)
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& aInteger0(X2)
& sdteqdtlpzmzozddtrp0(X2,X0,X1)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) ) ) )
& ( ( ( ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| sdteqdtlpzmzozddtrp0(X2,X0,X1) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& sz00 != X1
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,cS1395) )
& aSet0(cS1395)
& ! [X0] :
( aInteger0(X0)
<=> aElementOf0(X0,cS1395) )
& isClosed0(xB)
& aSubsetOf0(xA,cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xA) ) )
& aSet0(stldt0(xA))
& aSet0(stldt0(xB))
& isOpen0(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> ? [X1] :
( aInteger0(X1)
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xA)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& ! [X2] :
( ( ( ( aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
| sdteqdtlpzmzozddtrp0(X2,X0,X1) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) ) ) ) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( aInteger0(X0)
& ~ aElementOf0(X0,xB) ) )
& aSet0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1826) ).
fof(f834,plain,
( ~ spl31_2
| ~ spl31_13 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl31_2
| ~ spl31_13 ),
inference(resolution,[],[f826,f825]) ).
fof(f825,plain,
( aInteger0(sK2)
| ~ spl31_2
| ~ spl31_13 ),
inference(resolution,[],[f459,f680]) ).
fof(f680,plain,
( ! [X0] :
( ~ sP5(X0)
| aInteger0(X0) )
| ~ spl31_13 ),
inference(resolution,[],[f508,f431]) ).
fof(f431,plain,
! [X7] :
( aElementOf0(X7,sF27)
| ~ sP5(X7) ),
inference(definition_folding,[],[f143,f388]) ).
fof(f143,plain,
! [X7] :
( aElementOf0(X7,stldt0(xB))
| ~ sP5(X7) ),
inference(cnf_transformation,[],[f71]) ).
fof(f508,plain,
( ! [X3] :
( ~ aElementOf0(X3,sF27)
| aInteger0(X3) )
| ~ spl31_13 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f459,plain,
( sP5(sK2)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl31_2
<=> sP5(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f826,plain,
( ~ aInteger0(sK2)
| ~ spl31_2 ),
inference(resolution,[],[f459,f672]) ).
fof(f672,plain,
! [X1] :
( ~ sP5(X1)
| ~ aInteger0(X1) ),
inference(resolution,[],[f245,f142]) ).
fof(f142,plain,
! [X7] :
( ~ aElementOf0(X7,cS1395)
| ~ sP5(X7) ),
inference(cnf_transformation,[],[f71]) ).
fof(f245,plain,
! [X0] :
( aElementOf0(X0,cS1395)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f819,plain,
( ~ spl31_40
| ~ spl31_5
| ~ spl31_38 ),
inference(avatar_split_clause,[],[f817,f653,f470,f783]) ).
fof(f470,plain,
( spl31_5
<=> aElementOf0(sK6,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).
fof(f653,plain,
( spl31_38
<=> ! [X3] :
( ~ aElementOf0(X3,xB)
| ~ aElementOf0(X3,sF27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_38])]) ).
fof(f817,plain,
( ~ aElementOf0(sK6,xB)
| ~ spl31_5
| ~ spl31_38 ),
inference(resolution,[],[f472,f654]) ).
fof(f654,plain,
( ! [X3] :
( ~ aElementOf0(X3,sF27)
| ~ aElementOf0(X3,xB) )
| ~ spl31_38 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f472,plain,
( aElementOf0(sK6,sF27)
| ~ spl31_5 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f813,plain,
( ~ spl31_6
| ~ spl31_34
| ~ spl31_41 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl31_6
| ~ spl31_34
| ~ spl31_41 ),
inference(resolution,[],[f809,f687]) ).
fof(f687,plain,
( ~ aElementOf0(sK6,sF28)
| ~ spl31_6
| ~ spl31_34 ),
inference(resolution,[],[f626,f476]) ).
fof(f476,plain,
( aElementOf0(sK6,sF29)
| ~ spl31_6 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f626,plain,
( ! [X1] :
( ~ aElementOf0(X1,sF29)
| ~ aElementOf0(X1,sF28) )
| ~ spl31_34 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl31_34
<=> ! [X1] :
( ~ aElementOf0(X1,sF29)
| ~ aElementOf0(X1,sF28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_34])]) ).
fof(f810,plain,
( ~ spl31_25
| spl31_41
| ~ spl31_35
| ~ spl31_40 ),
inference(avatar_split_clause,[],[f805,f783,f638,f807,f569]) ).
fof(f638,plain,
( spl31_35
<=> ! [X0] :
( aElementOf0(X0,sF28)
| ~ aInteger0(X0)
| ~ aElementOf0(X0,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_35])]) ).
fof(f805,plain,
( aElementOf0(sK6,sF28)
| ~ aInteger0(sK6)
| ~ spl31_35
| ~ spl31_40 ),
inference(resolution,[],[f639,f785]) ).
fof(f785,plain,
( aElementOf0(sK6,xB)
| ~ spl31_40 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f639,plain,
( ! [X0] :
( ~ aElementOf0(X0,xB)
| aElementOf0(X0,sF28)
| ~ aInteger0(X0) )
| ~ spl31_35 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f786,plain,
( ~ spl31_25
| spl31_40
| spl31_5
| ~ spl31_15 ),
inference(avatar_split_clause,[],[f780,f517,f470,f783,f569]) ).
fof(f517,plain,
( spl31_15
<=> ! [X3] :
( ~ aInteger0(X3)
| aElementOf0(X3,sF27)
| aElementOf0(X3,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_15])]) ).
fof(f780,plain,
( aElementOf0(sK6,xB)
| ~ aInteger0(sK6)
| spl31_5
| ~ spl31_15 ),
inference(resolution,[],[f471,f518]) ).
fof(f518,plain,
( ! [X3] :
( aElementOf0(X3,sF27)
| ~ aInteger0(X3)
| aElementOf0(X3,xB) )
| ~ spl31_15 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f471,plain,
( ~ aElementOf0(sK6,sF27)
| spl31_5 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f776,plain,
( ~ spl31_25
| spl31_39
| ~ spl31_6
| ~ spl31_28
| ~ spl31_34 ),
inference(avatar_split_clause,[],[f771,f625,f589,f474,f773,f569]) ).
fof(f589,plain,
( spl31_28
<=> ! [X0] :
( ~ aInteger0(X0)
| ~ aElementOf0(X0,xA)
| aElementOf0(X0,sF28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_28])]) ).
fof(f771,plain,
( sP7(sK6)
| ~ aInteger0(sK6)
| ~ spl31_6
| ~ spl31_28
| ~ spl31_34 ),
inference(resolution,[],[f769,f687]) ).
fof(f769,plain,
( ! [X0] :
( aElementOf0(X0,sF28)
| ~ aInteger0(X0)
| sP7(X0) )
| ~ spl31_28 ),
inference(duplicate_literal_removal,[],[f768]) ).
fof(f768,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sP7(X0)
| ~ aInteger0(X0)
| aElementOf0(X0,sF28) )
| ~ spl31_28 ),
inference(resolution,[],[f590,f139]) ).
fof(f139,plain,
! [X8] :
( aElementOf0(X8,xA)
| ~ aInteger0(X8)
| sP7(X8) ),
inference(cnf_transformation,[],[f71]) ).
fof(f590,plain,
( ! [X0] :
( ~ aElementOf0(X0,xA)
| ~ aInteger0(X0)
| aElementOf0(X0,sF28) )
| ~ spl31_28 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f682,plain,
( spl31_25
| ~ spl31_6
| ~ spl31_33 ),
inference(avatar_split_clause,[],[f681,f621,f474,f569]) ).
fof(f621,plain,
( spl31_33
<=> ! [X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,sF29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_33])]) ).
fof(f681,plain,
( aInteger0(sK6)
| ~ spl31_6
| ~ spl31_33 ),
inference(resolution,[],[f622,f476]) ).
fof(f622,plain,
( ! [X1] :
( ~ aElementOf0(X1,sF29)
| aInteger0(X1) )
| ~ spl31_33 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f674,plain,
( ~ spl31_3
| ~ spl31_11
| spl31_12 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl31_3
| ~ spl31_11
| spl31_12 ),
inference(resolution,[],[f670,f669]) ).
fof(f669,plain,
( aInteger0(sK1)
| ~ spl31_3
| ~ spl31_11 ),
inference(resolution,[],[f667,f141]) ).
fof(f141,plain,
! [X8] :
( ~ sP7(X8)
| aInteger0(X8) ),
inference(cnf_transformation,[],[f71]) ).
fof(f667,plain,
( sP7(sK1)
| ~ spl31_3
| ~ spl31_11 ),
inference(resolution,[],[f462,f497]) ).
fof(f497,plain,
( aElementOf0(sK1,sF26)
| ~ spl31_11 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl31_11
<=> aElementOf0(sK1,sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).
fof(f462,plain,
( ! [X8] :
( ~ aElementOf0(X8,sF26)
| sP7(X8) )
| ~ spl31_3 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl31_3
<=> ! [X8] :
( sP7(X8)
| ~ aElementOf0(X8,sF26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f670,plain,
( ~ aInteger0(sK1)
| spl31_12 ),
inference(resolution,[],[f245,f502]) ).
fof(f502,plain,
( ~ aElementOf0(sK1,cS1395)
| spl31_12 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl31_12
<=> aElementOf0(sK1,cS1395) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_12])]) ).
fof(f655,plain,
( ~ spl31_1
| spl31_38 ),
inference(avatar_split_clause,[],[f446,f653,f453]) ).
fof(f453,plain,
( spl31_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f446,plain,
! [X3] :
( ~ aElementOf0(X3,xB)
| ~ sP0
| ~ aElementOf0(X3,sF27) ),
inference(definition_folding,[],[f124,f388]) ).
fof(f124,plain,
! [X3] :
( ~ aElementOf0(X3,stldt0(xB))
| ~ aElementOf0(X3,xB)
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f651,plain,
( ~ spl31_1
| spl31_37 ),
inference(avatar_split_clause,[],[f440,f649,f453]) ).
fof(f440,plain,
! [X2] :
( aElementOf0(X2,xA)
| ~ sP0
| ~ aInteger0(X2)
| aElementOf0(X2,sF26) ),
inference(definition_folding,[],[f130,f385]) ).
fof(f385,plain,
stldt0(xA) = sF26,
introduced(function_definition,[]) ).
fof(f130,plain,
! [X2] :
( aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f640,plain,
( spl31_35
| ~ spl31_1 ),
inference(avatar_split_clause,[],[f451,f453,f638]) ).
fof(f451,plain,
! [X0] :
( ~ sP0
| aElementOf0(X0,sF28)
| ~ aElementOf0(X0,xB)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f119,f401]) ).
fof(f401,plain,
sdtbsmnsldt0(xA,xB) = sF28,
introduced(function_definition,[]) ).
fof(f119,plain,
! [X0] :
( ~ aElementOf0(X0,xB)
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f632,plain,
( ~ spl31_1
| ~ spl31_5
| ~ spl31_25
| ~ spl31_6
| ~ spl31_32 ),
inference(avatar_split_clause,[],[f444,f613,f474,f569,f470,f453]) ).
fof(f444,plain,
( ~ aElementOf0(sK6,sF26)
| ~ aElementOf0(sK6,sF29)
| ~ aInteger0(sK6)
| ~ aElementOf0(sK6,sF27)
| ~ sP0 ),
inference(definition_folding,[],[f126,f403,f401,f388,f385]) ).
fof(f403,plain,
sF29 = stldt0(sF28),
introduced(function_definition,[]) ).
fof(f126,plain,
( ~ aElementOf0(sK6,stldt0(xA))
| ~ aInteger0(sK6)
| ~ aElementOf0(sK6,stldt0(xB))
| ~ aElementOf0(sK6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f627,plain,
( spl31_34
| ~ spl31_1 ),
inference(avatar_split_clause,[],[f435,f453,f625]) ).
fof(f435,plain,
! [X1] :
( ~ sP0
| ~ aElementOf0(X1,sF29)
| ~ aElementOf0(X1,sF28) ),
inference(definition_folding,[],[f135,f401,f403,f401]) ).
fof(f135,plain,
! [X1] :
( ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f623,plain,
( spl31_33
| ~ spl31_1 ),
inference(avatar_split_clause,[],[f436,f453,f621]) ).
fof(f436,plain,
! [X1] :
( ~ sP0
| aInteger0(X1)
| ~ aElementOf0(X1,sF29) ),
inference(definition_folding,[],[f134,f403,f401]) ).
fof(f134,plain,
! [X1] :
( ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(X1)
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f616,plain,
( spl31_32
| ~ spl31_1
| spl31_6 ),
inference(avatar_split_clause,[],[f443,f474,f453,f613]) ).
fof(f443,plain,
( aElementOf0(sK6,sF29)
| ~ sP0
| aElementOf0(sK6,sF26) ),
inference(definition_folding,[],[f127,f403,f401,f385]) ).
fof(f127,plain,
( aElementOf0(sK6,stldt0(xA))
| aElementOf0(sK6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f604,plain,
( ~ spl31_1
| spl31_30 ),
inference(avatar_split_clause,[],[f437,f602,f453]) ).
fof(f437,plain,
! [X1] :
( aElementOf0(X1,sF29)
| ~ sP0
| ~ aInteger0(X1)
| aElementOf0(X1,sF28) ),
inference(definition_folding,[],[f133,f401,f403,f401]) ).
fof(f133,plain,
! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X1)
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f591,plain,
( ~ spl31_1
| spl31_28 ),
inference(avatar_split_clause,[],[f450,f589,f453]) ).
fof(f450,plain,
! [X0] :
( ~ aInteger0(X0)
| ~ sP0
| aElementOf0(X0,sF28)
| ~ aElementOf0(X0,xA) ),
inference(definition_folding,[],[f120,f401]) ).
fof(f120,plain,
! [X0] :
( ~ aElementOf0(X0,xA)
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f585,plain,
( ~ spl31_1
| spl31_27 ),
inference(avatar_split_clause,[],[f449,f583,f453]) ).
fof(f449,plain,
! [X0] :
( ~ aElementOf0(X0,sF28)
| aElementOf0(X0,xB)
| aElementOf0(X0,xA)
| ~ sP0 ),
inference(definition_folding,[],[f121,f401]) ).
fof(f121,plain,
! [X0] :
( aElementOf0(X0,xB)
| aElementOf0(X0,xA)
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f572,plain,
( spl31_6
| spl31_25
| ~ spl31_1 ),
inference(avatar_split_clause,[],[f442,f453,f569,f474]) ).
fof(f442,plain,
( ~ sP0
| aInteger0(sK6)
| aElementOf0(sK6,sF29) ),
inference(definition_folding,[],[f128,f403,f401]) ).
fof(f128,plain,
( aInteger0(sK6)
| aElementOf0(sK6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f562,plain,
( ~ spl31_12
| spl31_2
| spl31_1 ),
inference(avatar_split_clause,[],[f147,f453,f457,f500]) ).
fof(f147,plain,
( sP0
| sP5(sK2)
| ~ aElementOf0(sK1,cS1395) ),
inference(cnf_transformation,[],[f71]) ).
fof(f545,plain,
( ~ spl31_1
| spl31_20 ),
inference(avatar_split_clause,[],[f438,f543,f453]) ).
fof(f438,plain,
! [X2] :
( ~ aElementOf0(X2,sF26)
| ~ sP0
| ~ aElementOf0(X2,xA) ),
inference(definition_folding,[],[f132,f385]) ).
fof(f132,plain,
! [X2] :
( ~ aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X2,xA)
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f519,plain,
( ~ spl31_1
| spl31_15 ),
inference(avatar_split_clause,[],[f447,f517,f453]) ).
fof(f447,plain,
! [X3] :
( ~ aInteger0(X3)
| aElementOf0(X3,xB)
| aElementOf0(X3,sF27)
| ~ sP0 ),
inference(definition_folding,[],[f123,f388]) ).
fof(f123,plain,
! [X3] :
( aElementOf0(X3,stldt0(xB))
| aElementOf0(X3,xB)
| ~ aInteger0(X3)
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f505,plain,
( spl31_1
| spl31_2
| spl31_11 ),
inference(avatar_split_clause,[],[f430,f495,f457,f453]) ).
fof(f430,plain,
( aElementOf0(sK1,sF26)
| sP5(sK2)
| sP0 ),
inference(definition_folding,[],[f146,f385]) ).
fof(f146,plain,
( aElementOf0(sK1,stldt0(xA))
| sP5(sK2)
| sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f477,plain,
( ~ spl31_1
| spl31_5
| spl31_6 ),
inference(avatar_split_clause,[],[f441,f474,f470,f453]) ).
fof(f441,plain,
( aElementOf0(sK6,sF29)
| aElementOf0(sK6,sF27)
| ~ sP0 ),
inference(definition_folding,[],[f129,f403,f401,f388]) ).
fof(f129,plain,
( aElementOf0(sK6,stldt0(xB))
| aElementOf0(sK6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
fof(f463,plain,
( spl31_1
| spl31_2
| spl31_3 ),
inference(avatar_split_clause,[],[f418,f461,f457,f453]) ).
fof(f418,plain,
! [X8] :
( sP7(X8)
| ~ aElementOf0(X8,sF26)
| sP5(sK2)
| sP0 ),
inference(definition_folding,[],[f170,f385]) ).
fof(f170,plain,
! [X8] :
( ~ aElementOf0(X8,stldt0(xA))
| sP7(X8)
| sP5(sK2)
| sP0 ),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM440+6 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:33:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (30082)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (30090)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (30079)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (30080)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (30077)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (30077)Instruction limit reached!
% 0.20/0.52 % (30077)------------------------------
% 0.20/0.52 % (30077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30077)Termination reason: Unknown
% 0.20/0.52 % (30077)Termination phase: shuffling
% 0.20/0.52
% 0.20/0.52 % (30077)Memory used [KB]: 895
% 0.20/0.52 % (30077)Time elapsed: 0.002 s
% 0.20/0.52 % (30077)Instructions burned: 2 (million)
% 0.20/0.52 % (30077)------------------------------
% 0.20/0.52 % (30077)------------------------------
% 0.20/0.52 % (30072)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (30073)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (30074)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (30071)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (30081)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (30088)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (30091)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 % (30069)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (30083)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (30078)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (30070)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (30097)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (30093)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (30098)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (30085)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (30095)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (30086)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (30096)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (30094)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (30075)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (30092)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 % (30089)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.60/0.56 % (30087)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.60/0.56 % (30070)Refutation not found, incomplete strategy% (30070)------------------------------
% 1.60/0.56 % (30070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (30070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (30070)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.56
% 1.60/0.56 % (30070)Memory used [KB]: 6012
% 1.60/0.56 % (30070)Time elapsed: 0.140 s
% 1.60/0.56 % (30070)Instructions burned: 18 (million)
% 1.60/0.56 % (30070)------------------------------
% 1.60/0.56 % (30070)------------------------------
% 1.60/0.56 % (30084)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.60/0.56 % (30076)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.60/0.57 % (30080)First to succeed.
% 1.60/0.57 TRYING [1]
% 1.71/0.58 % (30076)Instruction limit reached!
% 1.71/0.58 % (30076)------------------------------
% 1.71/0.58 % (30076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (30076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (30076)Termination reason: Unknown
% 1.71/0.58 % (30076)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (30076)Memory used [KB]: 5756
% 1.71/0.58 % (30076)Time elapsed: 0.006 s
% 1.71/0.58 % (30076)Instructions burned: 8 (million)
% 1.71/0.58 % (30076)------------------------------
% 1.71/0.58 % (30076)------------------------------
% 1.71/0.59 TRYING [1]
% 1.71/0.59 TRYING [1]
% 1.71/0.59 TRYING [2]
% 1.71/0.59 TRYING [2]
% 1.71/0.59 TRYING [2]
% 1.71/0.59 % (30094)Also succeeded, but the first one will report.
% 1.71/0.59 % (30080)Refutation found. Thanks to Tanya!
% 1.71/0.59 % SZS status Theorem for theBenchmark
% 1.71/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.59 % (30080)------------------------------
% 1.71/0.59 % (30080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (30080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (30080)Termination reason: Refutation
% 1.71/0.59
% 1.71/0.59 % (30080)Memory used [KB]: 6268
% 1.71/0.59 % (30080)Time elapsed: 0.146 s
% 1.71/0.59 % (30080)Instructions burned: 28 (million)
% 1.71/0.59 % (30080)------------------------------
% 1.71/0.59 % (30080)------------------------------
% 1.71/0.59 % (30068)Success in time 0.236 s
%------------------------------------------------------------------------------