TSTP Solution File: NUM511+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : NUM511+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n024.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 : Mon Jun 24 13:25:49 EDT 2024
% Result : Theorem 212.77s 30.70s
% Output : Refutation 212.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 126 ( 25 unt; 0 def)
% Number of atoms : 383 ( 80 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 439 ( 182 ~; 194 |; 26 &)
% ( 27 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 19 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 76 ( 73 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42353,plain,
$false,
inference(avatar_sat_refutation,[],[f252,f255,f385,f388,f486,f568,f663,f797,f1167,f1342,f1366,f1371,f1374,f1414,f1427,f1450,f28657,f42350,f42352]) ).
fof(f42352,plain,
( ~ spl4_32
| ~ spl4_2815 ),
inference(avatar_contradiction_clause,[],[f42351]) ).
fof(f42351,plain,
( $false
| ~ spl4_32
| ~ spl4_2815 ),
inference(subsumption_resolution,[],[f6928,f42322]) ).
fof(f42322,plain,
( doDivides0(xp,sdtasdt0(xm,sdtsldt0(xn,xr)))
| ~ spl4_2815 ),
inference(avatar_component_clause,[],[f42320]) ).
fof(f42320,plain,
( spl4_2815
<=> doDivides0(xp,sdtasdt0(xm,sdtsldt0(xn,xr))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2815])]) ).
fof(f6928,plain,
( ~ doDivides0(xp,sdtasdt0(xm,sdtsldt0(xn,xr)))
| ~ spl4_32 ),
inference(backward_demodulation,[],[f127,f6915]) ).
fof(f6915,plain,
( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xm,sdtsldt0(xn,xr))
| ~ spl4_32 ),
inference(resolution,[],[f334,f658]) ).
fof(f658,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f656,plain,
( spl4_32
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f334,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) ),
inference(resolution,[],[f182,f138]) ).
fof(f138,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f182,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f127,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(flattening,[],[f55]) ).
fof(f55,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(negated_conjecture,[],[f54]) ).
fof(f54,conjecture,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f42350,plain,
( spl4_2815
| ~ spl4_74
| ~ spl4_12
| ~ spl4_1444
| ~ spl4_12
| ~ spl4_22
| ~ spl4_55
| ~ spl4_58
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f42317,f1425,f1165,f1122,f480,f375,f28640,f375,f1435,f42320]) ).
fof(f1435,plain,
( spl4_74
<=> aNaturalNumber0(sdtsldt0(xk,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).
fof(f28640,plain,
( spl4_1444
<=> aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xr))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1444])]) ).
fof(f375,plain,
( spl4_12
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f480,plain,
( spl4_22
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f1122,plain,
( spl4_55
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).
fof(f1165,plain,
( spl4_58
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).
fof(f1425,plain,
( spl4_72
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).
fof(f42317,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| doDivides0(xp,sdtasdt0(xm,sdtsldt0(xn,xr)))
| ~ spl4_12
| ~ spl4_22
| ~ spl4_55
| ~ spl4_58
| ~ spl4_72 ),
inference(superposition,[],[f232,f7894]) ).
fof(f7894,plain,
( sdtasdt0(xm,sdtsldt0(xn,xr)) = sdtasdt0(xp,sdtsldt0(xk,xr))
| ~ spl4_12
| ~ spl4_22
| ~ spl4_55
| ~ spl4_58
| ~ spl4_72 ),
inference(forward_demodulation,[],[f7893,f7720]) ).
fof(f7720,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xm,sdtsldt0(xn,xr))
| ~ spl4_22
| ~ spl4_58 ),
inference(forward_demodulation,[],[f7707,f6900]) ).
fof(f6900,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xm,xn)
| ~ spl4_22 ),
inference(resolution,[],[f333,f481]) ).
fof(f481,plain,
( aNaturalNumber0(xm)
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f333,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f182,f137]) ).
fof(f137,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f7707,plain,
( sdtasdt0(xm,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(xm,xn),xr)
| ~ spl4_22
| ~ spl4_58 ),
inference(resolution,[],[f1166,f481]) ).
fof(f1166,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| ~ spl4_58 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f7893,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xp,sdtsldt0(xk,xr))
| ~ spl4_12
| ~ spl4_55
| ~ spl4_72 ),
inference(forward_demodulation,[],[f7885,f1124]) ).
fof(f1124,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ spl4_55 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f7885,plain,
( sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xp,xk),xr)
| ~ spl4_12
| ~ spl4_72 ),
inference(resolution,[],[f1426,f376]) ).
fof(f376,plain,
( aNaturalNumber0(xp)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f1426,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ spl4_72 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f232,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f28657,plain,
( spl4_1444
| ~ spl4_22
| ~ spl4_52
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f7721,f1165,f1106,f480,f28640]) ).
fof(f1106,plain,
( spl4_52
<=> aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).
fof(f7721,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xr)))
| ~ spl4_22
| ~ spl4_52
| ~ spl4_58 ),
inference(backward_demodulation,[],[f1108,f7720]) ).
fof(f1108,plain,
( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ spl4_52 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1450,plain,
( spl4_74
| ~ spl4_5
| spl4_33
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f648,f361,f660,f344,f1435]) ).
fof(f344,plain,
( spl4_5
<=> aNaturalNumber0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f660,plain,
( spl4_33
<=> sz00 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f361,plain,
( spl4_9
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f648,plain,
( ~ aNaturalNumber0(xk)
| sz00 = xr
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(resolution,[],[f231,f135]) ).
fof(f135,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f231,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ doDivides0(X0,X1)
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1427,plain,
( spl4_72
| ~ spl4_5
| spl4_33
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f1157,f361,f660,f344,f1425]) ).
fof(f1157,plain,
! [X0] :
( ~ aNaturalNumber0(xk)
| sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) ),
inference(resolution,[],[f197,f135]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1414,plain,
( spl4_3
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f1379,f971,f245]) ).
fof(f245,plain,
( spl4_3
<=> isPrime0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f971,plain,
( spl4_44
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).
fof(f1379,plain,
( isPrime0(sz00)
| ~ spl4_44 ),
inference(backward_demodulation,[],[f132,f973]) ).
fof(f973,plain,
( sz00 = xp
| ~ spl4_44 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f132,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1374,plain,
( ~ spl4_12
| spl4_44
| ~ spl4_11
| spl4_55 ),
inference(avatar_split_clause,[],[f1373,f1122,f370,f971,f375]) ).
fof(f370,plain,
( spl4_11
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f1373,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(xp) ),
inference(forward_demodulation,[],[f1142,f131]) ).
fof(f131,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1142,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(xp)
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f133,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f100]) ).
fof(f133,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f1371,plain,
( ~ spl4_12
| spl4_44
| ~ spl4_11
| spl4_9 ),
inference(avatar_split_clause,[],[f1370,f361,f370,f971,f375]) ).
fof(f1370,plain,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(xp) ),
inference(forward_demodulation,[],[f1144,f131]) ).
fof(f1144,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f133,f231]) ).
fof(f1366,plain,
( spl4_52
| ~ spl4_5
| spl4_33
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f1150,f370,f660,f344,f1106]) ).
fof(f1150,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xr
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr)) ),
inference(resolution,[],[f149,f231]) ).
fof(f149,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtlseqdt0(xr,xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1342,plain,
( ~ spl4_7
| ~ spl4_22
| spl4_11 ),
inference(avatar_split_clause,[],[f1341,f370,f480,f352]) ).
fof(f352,plain,
( spl4_7
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f1341,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl4_11 ),
inference(resolution,[],[f372,f180]) ).
fof(f180,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f372,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_11 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f1167,plain,
( spl4_58
| ~ spl4_5
| spl4_33
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f1156,f352,f660,f344,f1165]) ).
fof(f1156,plain,
! [X0] :
( ~ aNaturalNumber0(xn)
| sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) ),
inference(resolution,[],[f197,f130]) ).
fof(f130,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f797,plain,
( spl4_3
| ~ spl4_33 ),
inference(avatar_split_clause,[],[f767,f660,f245]) ).
fof(f767,plain,
( isPrime0(sz00)
| ~ spl4_33 ),
inference(backward_demodulation,[],[f136,f662]) ).
fof(f662,plain,
( sz00 = xr
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f136,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f663,plain,
( spl4_32
| ~ spl4_5
| spl4_33
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f649,f352,f660,f344,f656]) ).
fof(f649,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xr
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(resolution,[],[f231,f130]) ).
fof(f568,plain,
spl4_12,
inference(avatar_split_clause,[],[f139,f375]) ).
fof(f139,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f486,plain,
spl4_22,
inference(avatar_split_clause,[],[f138,f480]) ).
fof(f388,plain,
spl4_7,
inference(avatar_split_clause,[],[f137,f352]) ).
fof(f385,plain,
spl4_5,
inference(avatar_split_clause,[],[f134,f344]) ).
fof(f134,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f255,plain,
spl4_4,
inference(avatar_split_clause,[],[f156,f249]) ).
fof(f249,plain,
( spl4_4
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f156,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f252,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f224,f249,f245]) ).
fof(f224,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM511+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_vampire %s %d SAT
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Jun 22 23:11:23 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.34 Running first-order model finding
% 0.11/0.34 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.40 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (15300)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.19/0.40 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (15306)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.19/0.40 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (15304)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.19/0.40 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (15302)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.19/0.40 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (15305)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.19/0.40 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (15301)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.19/0.40 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (15303)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.19/0.40 Detected minimum model sizes of [3]
% 0.19/0.40 Detected maximum model sizes of [max]
% 0.19/0.40 Detected minimum model sizes of [3]
% 0.19/0.40 Detected maximum model sizes of [max]
% 0.19/0.40 Detected minimum model sizes of [3]
% 0.19/0.40 TRYING [3]
% 0.19/0.40 Detected maximum model sizes of [max]
% 0.19/0.41 TRYING [4]
% 0.19/0.44 TRYING [10]
% 0.19/0.45 % (15304)Instruction limit reached!
% 0.19/0.45 % (15304)------------------------------
% 0.19/0.45 % (15304)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.45 % (15304)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.45 % (15304)Termination reason: Time limit
% 0.19/0.45 % (15304)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (15304)Memory used [KB]: 1283
% 0.19/0.45 % (15304)Time elapsed: 0.050 s
% 0.19/0.45 % (15304)Instructions burned: 105 (million)
% 0.19/0.46 % (15306)Instruction limit reached!
% 0.19/0.46 % (15306)------------------------------
% 0.19/0.46 % (15306)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.46 % (15306)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.46 % (15306)Termination reason: Time limit
% 0.19/0.46 % (15306)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (15306)Memory used [KB]: 2948
% 0.19/0.46 % (15306)Time elapsed: 0.063 s
% 0.19/0.46 % (15306)Instructions burned: 116 (million)
% 0.19/0.48 % (15305)Instruction limit reached!
% 0.19/0.48 % (15305)------------------------------
% 0.19/0.48 % (15305)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.48 % (15305)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.48 % (15305)Termination reason: Time limit
% 0.19/0.48 % (15305)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (15305)Memory used [KB]: 2008
% 0.19/0.48 % (15305)Time elapsed: 0.081 s
% 0.19/0.48 % (15305)Instructions burned: 147 (million)
% 0.19/0.48 TRYING [5]
% 0.19/0.50 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.50 % (15307)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.19/0.52 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.52 % (15308)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.19/0.54 % (15299)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.54 % (15309)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.63/0.60 % (15308)Instruction limit reached!
% 1.63/0.60 % (15308)------------------------------
% 1.63/0.60 % (15308)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.63/0.60 % (15308)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.63/0.60 % (15308)Termination reason: Time limit
% 1.63/0.60 % (15308)Termination phase: Saturation
% 1.63/0.60
% 1.63/0.60 % (15308)Memory used [KB]: 3367
% 1.63/0.60 % (15308)Time elapsed: 0.112 s
% 1.63/0.60 % (15308)Instructions burned: 175 (million)
% 2.11/0.66 % (15299)Running in auto input_syntax mode. Trying TPTP
% 2.11/0.66 % (15310)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.29/0.68 % (15309)Instruction limit reached!
% 2.29/0.68 % (15309)------------------------------
% 2.29/0.68 % (15309)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.29/0.68 % (15309)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.29/0.68 % (15309)Termination reason: Time limit
% 2.29/0.68 % (15309)Termination phase: Saturation
% 2.29/0.68
% 2.29/0.68 % (15309)Memory used [KB]: 4347
% 2.29/0.68 % (15309)Time elapsed: 0.173 s
% 2.29/0.68 % (15309)Instructions burned: 271 (million)
% 2.29/0.70 TRYING [6]
% 2.29/0.71 % (15307)Instruction limit reached!
% 2.29/0.71 % (15307)------------------------------
% 2.29/0.71 % (15307)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.29/0.71 % (15307)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.29/0.71 % (15307)Termination reason: Time limit
% 2.29/0.71 % (15307)Termination phase: Saturation
% 2.29/0.71
% 2.29/0.71 % (15307)Memory used [KB]: 4545
% 2.29/0.71 % (15307)Time elapsed: 0.236 s
% 2.29/0.71 % (15307)Instructions burned: 404 (million)
% 2.61/0.74 % (15299)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.74 % (15311)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 2.61/0.74 Detected minimum model sizes of [3]
% 2.61/0.74 Detected maximum model sizes of [max]
% 2.61/0.74 TRYING [3]
% 2.61/0.75 TRYING [4]
% 2.73/0.77 % (15299)Running in auto input_syntax mode. Trying TPTP
% 2.73/0.77 % (15312)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.73/0.82 TRYING [5]
% 3.82/1.04 TRYING [6]
% 5.70/1.15 % (15310)Instruction limit reached!
% 5.70/1.15 % (15310)------------------------------
% 5.70/1.15 % (15310)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.70/1.15 % (15310)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.70/1.15 % (15310)Termination reason: Time limit
% 5.70/1.15 % (15310)Termination phase: Saturation
% 5.70/1.15
% 5.70/1.15 % (15310)Memory used [KB]: 11587
% 5.70/1.15 % (15310)Time elapsed: 0.514 s
% 5.70/1.15 % (15310)Instructions burned: 900 (million)
% 5.95/1.21 % (15299)Running in auto input_syntax mode. Trying TPTP
% 5.95/1.21 % (15313)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2992ds/1187Mi)
% 5.95/1.21 TRYING [23]
% 6.98/1.42 TRYING [7]
% 8.12/1.62 TRYING [7]
% 10.98/1.97 % (15312)Instruction limit reached!
% 10.98/1.97 % (15312)------------------------------
% 10.98/1.97 % (15312)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.98/1.97 % (15312)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.98/1.97 % (15312)Termination reason: Time limit
% 10.98/1.97 % (15312)Termination phase: Saturation
% 10.98/1.97
% 10.98/1.97 % (15312)Memory used [KB]: 29922
% 10.98/1.97 % (15312)Time elapsed: 1.228 s
% 10.98/1.97 % (15312)Instructions burned: 2145 (million)
% 11.39/2.00 % (15313)Instruction limit reached!
% 11.39/2.00 % (15313)------------------------------
% 11.39/2.00 % (15313)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.39/2.00 % (15313)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.39/2.00 % (15313)Termination reason: Time limit
% 11.39/2.00 % (15313)Termination phase: Saturation
% 11.39/2.00
% 11.39/2.00 % (15313)Memory used [KB]: 13195
% 11.39/2.00 % (15313)Time elapsed: 0.773 s
% 11.39/2.00 % (15313)Instructions burned: 1188 (million)
% 11.39/2.03 % (15299)Running in auto input_syntax mode. Trying TPTP
% 11.39/2.03 % (15314)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2983ds/23580Mi)
% 11.39/2.04 Detected minimum model sizes of [3]
% 11.39/2.04 Detected maximum model sizes of [max]
% 11.39/2.04 TRYING [3]
% 11.39/2.05 TRYING [4]
% 11.39/2.06 % (15299)Running in auto input_syntax mode. Trying TPTP
% 11.39/2.06 % (15315)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2983ds/2892Mi)
% 11.88/2.06 Detected minimum model sizes of [3]
% 11.88/2.06 Detected maximum model sizes of [max]
% 12.14/2.13 TRYING [5]
% 13.61/2.34 TRYING [17]
% 13.61/2.34 TRYING [6]
% 18.18/2.98 TRYING [7]
% 18.54/3.01 % (15315)Instruction limit reached!
% 18.54/3.01 % (15315)------------------------------
% 18.54/3.01 % (15315)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.54/3.01 % (15315)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.54/3.01 % (15315)Termination reason: Time limit
% 18.54/3.01 % (15315)Termination phase: Finite model building constraint generation
% 18.54/3.01
% 18.54/3.02 % (15315)Memory used [KB]: 165080
% 18.54/3.02 % (15315)Time elapsed: 0.955 s
% 18.54/3.02 % (15315)Instructions burned: 2894 (million)
% 18.88/3.07 TRYING [8]
% 18.88/3.10 % (15299)Running in auto input_syntax mode. Trying TPTP
% 18.88/3.10 % (15316)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2973ds/1693Mi)
% 18.88/3.13 TRYING [8]
% 23.76/3.77 % (15311)Instruction limit reached!
% 23.76/3.77 % (15311)------------------------------
% 23.76/3.77 % (15311)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.76/3.77 % (15311)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.76/3.77 % (15311)Termination reason: Time limit
% 23.76/3.77 % (15311)Termination phase: Finite model building SAT solving
% 23.76/3.77
% 23.76/3.77 % (15311)Memory used [KB]: 34042
% 23.76/3.77 % (15311)Time elapsed: 3.061 s
% 23.76/3.77 % (15311)Instructions burned: 7860 (million)
% 23.97/3.84 % (15299)Running in auto input_syntax mode. Trying TPTP
% 23.97/3.84 % (15317)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2965ds/1735Mi)
% 25.93/4.07 % (15316)Instruction limit reached!
% 25.93/4.07 % (15316)------------------------------
% 25.93/4.07 % (15316)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.93/4.07 % (15316)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.93/4.07 % (15316)Termination reason: Time limit
% 25.93/4.07 % (15316)Termination phase: Saturation
% 25.93/4.07
% 25.93/4.07 % (15316)Memory used [KB]: 11543
% 25.93/4.07 % (15316)Time elapsed: 0.976 s
% 25.93/4.07 % (15316)Instructions burned: 1694 (million)
% 26.39/4.13 % (15299)Running in auto input_syntax mode. Trying TPTP
% 26.39/4.13 % (15318)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2962ds/131798Mi)
% 26.39/4.14 Detected minimum model sizes of [3]
% 26.39/4.14 Detected maximum model sizes of [max]
% 26.39/4.14 TRYING [4]
% 26.64/4.22 TRYING [5]
% 28.69/4.46 TRYING [6]
% 28.97/4.53 TRYING [8]
% 30.13/4.69 % (15317)Instruction limit reached!
% 30.13/4.69 % (15317)------------------------------
% 30.13/4.69 % (15317)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.13/4.69 % (15317)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.13/4.69 % (15317)Termination reason: Time limit
% 30.13/4.69 % (15317)Termination phase: Saturation
% 30.13/4.69
% 30.13/4.69 % (15317)Memory used [KB]: 13415
% 30.13/4.69 % (15317)Time elapsed: 0.856 s
% 30.13/4.69 % (15317)Instructions burned: 1736 (million)
% 30.73/4.76 % (15299)Running in auto input_syntax mode. Trying TPTP
% 30.73/4.76 % (15319)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2956ds/3451Mi)
% 30.73/4.76 Detected minimum model sizes of [3]
% 30.73/4.76 Detected maximum model sizes of [max]
% 32.37/4.98 TRYING [16]
% 33.01/5.07 TRYING [7]
% 38.31/5.85 % (15319)Instruction limit reached!
% 38.31/5.85 % (15319)------------------------------
% 38.31/5.85 % (15319)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 38.31/5.85 % (15319)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 38.31/5.85 % (15319)Termination reason: Time limit
% 38.31/5.85 % (15319)Termination phase: Finite model building constraint generation
% 38.31/5.85
% 38.31/5.85 % (15319)Memory used [KB]: 209417
% 38.31/5.85 % (15319)Time elapsed: 1.094 s
% 38.31/5.85 % (15319)Instructions burned: 3452 (million)
% 38.80/5.94 % (15299)Running in auto input_syntax mode. Trying TPTP
% 38.80/5.94 % (15320)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2944ds/3978Mi)
% 43.03/6.53 TRYING [8]
% 46.92/7.08 TRYING [9]
% 53.58/8.03 % (15320)Instruction limit reached!
% 53.58/8.03 % (15320)------------------------------
% 53.58/8.03 % (15320)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 53.58/8.03 % (15320)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 53.58/8.03 % (15320)Termination reason: Time limit
% 53.58/8.03 % (15320)Termination phase: Saturation
% 53.58/8.03
% 53.58/8.03 % (15320)Memory used [KB]: 45534
% 53.58/8.03 % (15320)Time elapsed: 2.099 s
% 53.58/8.03 % (15320)Instructions burned: 3979 (million)
% 53.92/8.09 % (15299)Running in auto input_syntax mode. Trying TPTP
% 53.92/8.09 % (15321)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2923ds/33091Mi)
% 57.16/8.53 TRYING [9]
% 66.01/9.79 TRYING [9]
% 72.55/10.73 % (15314)Instruction limit reached!
% 72.55/10.73 % (15314)------------------------------
% 72.55/10.73 % (15314)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 72.55/10.73 % (15314)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 72.55/10.73 % (15314)Termination reason: Time limit
% 72.55/10.73 % (15314)Termination phase: Finite model building SAT solving
% 72.55/10.73
% 72.55/10.73 % (15314)Memory used [KB]: 52437
% 72.55/10.73 % (15314)Time elapsed: 8.697 s
% 72.55/10.73 % (15314)Instructions burned: 23581 (million)
% 72.79/10.77 % (15299)Running in auto input_syntax mode. Trying TPTP
% 72.79/10.77 % (15555)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2896ds/9564Mi)
% 82.97/12.22 TRYING [11]
% 85.45/12.57 TRYING [10]
% 91.01/13.36 TRYING [10]
% 91.01/13.40 % (15555)Instruction limit reached!
% 91.01/13.40 % (15555)------------------------------
% 91.01/13.40 % (15555)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 91.01/13.40 % (15555)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 91.01/13.40 % (15555)Termination reason: Time limit
% 91.01/13.40 % (15555)Termination phase: Saturation
% 91.01/13.40
% 91.01/13.40 % (15555)Memory used [KB]: 59811
% 91.01/13.40 % (15555)Time elapsed: 2.656 s
% 91.01/13.40 % (15555)Instructions burned: 9567 (million)
% 91.01/13.44 % (15299)Running in auto input_syntax mode. Trying TPTP
% 91.01/13.44 % (15556)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2869ds/50409Mi)
% 91.01/13.44 Detected minimum model sizes of [3]
% 91.01/13.44 Detected maximum model sizes of [max]
% 91.01/13.44 TRYING [3]
% 91.01/13.45 TRYING [4]
% 91.74/13.50 TRYING [5]
% 92.46/13.64 TRYING [6]
% 95.21/13.97 TRYING [7]
% 100.77/14.78 TRYING [8]
% 112.79/16.52 % (15321)Instruction limit reached!
% 112.79/16.52 % (15321)------------------------------
% 112.79/16.52 % (15321)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 112.79/16.52 % (15321)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 112.79/16.52 % (15321)Termination reason: Time limit
% 112.79/16.52 % (15321)Termination phase: Saturation
% 112.79/16.52
% 112.79/16.52 % (15321)Memory used [KB]: 307888
% 112.79/16.52 % (15321)Time elapsed: 8.428 s
% 112.79/16.52 % (15321)Instructions burned: 33094 (million)
% 113.41/16.58 % (15299)Running in auto input_syntax mode. Trying TPTP
% 113.41/16.58 % (16138)dis+2_3:1_bsr=on:sil=64000:abs=on:i=10852:gsp=on:fs=off:fsr=off_0 on theBenchmark for (2838ds/10852Mi)
% 113.41/16.58 TRYING [9]
% 134.71/19.60 % (16138)Instruction limit reached!
% 134.71/19.60 % (16138)------------------------------
% 134.71/19.60 % (16138)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 134.71/19.60 % (16138)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 134.71/19.60 % (16138)Termination reason: Time limit
% 134.71/19.60 % (16138)Termination phase: Saturation
% 134.71/19.60
% 134.71/19.60 % (16138)Memory used [KB]: 127368
% 134.71/19.60 % (16138)Time elapsed: 3.024 s
% 134.71/19.60 % (16138)Instructions burned: 10853 (million)
% 134.71/19.65 % (15299)Running in auto input_syntax mode. Trying TPTP
% 134.71/19.65 % (16139)dis+11_61:31_bsr=unit_only:sil=16000:sp=frequency:rp=on:newcnf=on:i=11327:uhcvi=on:rawr=on:abs=on:lsd=5:add=off_0 on theBenchmark for (2807ds/11327Mi)
% 138.79/20.21 TRYING [11]
% 138.79/20.24 TRYING [10]
% 143.24/20.80 TRYING [11]
% 157.48/22.82 % (16139)Instruction limit reached!
% 157.48/22.82 % (16139)------------------------------
% 157.48/22.82 % (16139)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 157.48/22.82 % (16139)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 157.48/22.82 % (16139)Termination reason: Time limit
% 157.48/22.82 % (16139)Termination phase: Saturation
% 157.48/22.82
% 157.48/22.82 % (16139)Memory used [KB]: 76190
% 157.48/22.82 % (16139)Time elapsed: 3.175 s
% 157.48/22.82 % (16139)Instructions burned: 11328 (million)
% 157.58/22.86 % (15299)Running in auto input_syntax mode. Trying TPTP
% 157.58/22.86 % (16140)fmb+10_1:1_fmbas=expand:sil=128000:i=17908:nm=2:fmbss=15:gsp=on_0 on theBenchmark for (2775ds/17908Mi)
% 157.58/22.87 Detected minimum model sizes of [3]
% 157.58/22.87 Detected maximum model sizes of [max]
% 158.05/22.97 TRYING [15]
% 177.66/25.71 % (15556)Instruction limit reached!
% 177.66/25.71 % (15556)------------------------------
% 177.66/25.71 % (15556)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 177.66/25.71 % (15556)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 177.66/25.71 % (15556)Termination reason: Time limit
% 177.66/25.71 % (15556)Termination phase: Finite model building SAT solving
% 177.66/25.71
% 177.66/25.71 % (15556)Memory used [KB]: 89178
% 177.66/25.71 % (15556)Time elapsed: 12.275 s
% 177.66/25.71 % (15556)Instructions burned: 50409 (million)
% 177.66/25.75 % (15299)Running in auto input_syntax mode. Trying TPTP
% 177.66/25.75 % (16141)dis+11_1:1_anc=all:sil=64000:rp=on:newcnf=on:i=22636:alpa=false:atotf=0.1:gs=on_0 on theBenchmark for (2746ds/22636Mi)
% 179.91/26.05 TRYING [12]
% 187.58/27.13 % (16140)Instruction limit reached!
% 187.58/27.13 % (16140)------------------------------
% 187.58/27.13 % (16140)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 187.58/27.13 % (16140)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 187.58/27.13 % (16140)Termination reason: Time limit
% 187.58/27.13 % (16140)Termination phase: Finite model building constraint generation
% 187.58/27.13
% 187.58/27.13 % (16140)Memory used [KB]: 640307
% 187.58/27.13 % (16140)Time elapsed: 4.267 s
% 187.58/27.13 % (16140)Instructions burned: 17908 (million)
% 187.96/27.22 % (15299)Running in auto input_syntax mode. Trying TPTP
% 187.96/27.22 % (16142)fmb+10_1:1_i=30223_0 on theBenchmark for (2731ds/30223Mi)
% 187.96/27.23 Detected minimum model sizes of [3]
% 187.96/27.23 Detected maximum model sizes of [max]
% 187.96/27.23 TRYING [3]
% 187.96/27.24 TRYING [4]
% 188.55/27.28 TRYING [5]
% 189.49/27.42 TRYING [6]
% 192.18/27.79 TRYING [7]
% 198.36/28.69 TRYING [8]
% 205.33/29.68 % (15300)Instruction limit reached!
% 205.33/29.68 % (15300)------------------------------
% 205.33/29.68 % (15300)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 205.33/29.68 % (15300)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 205.33/29.68 % (15300)Termination reason: Time limit
% 205.33/29.68 % (15300)Termination phase: Finite model building SAT solving
% 205.33/29.68
% 205.33/29.68 % (15300)Memory used [KB]: 206239
% 205.33/29.68 % (15300)Time elapsed: 29.273 s
% 205.33/29.68 % (15300)Instructions burned: 98887 (million)
% 205.89/29.74 % (15299)Running in auto input_syntax mode. Trying TPTP
% 205.89/29.74 % (16258)ott+11_8:1_sil=64000:i=37350:fsr=off:bsr=unit_only:newcnf=on_0 on theBenchmark for (2706ds/37350Mi)
% 212.49/30.69 % (16258)First to succeed.
% 212.77/30.69 % (16258)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15299"
% 212.77/30.70 % (15299)Running in auto input_syntax mode. Trying TPTP
% 212.77/30.70 % (16258)Refutation found. Thanks to Tanya!
% 212.77/30.70 % SZS status Theorem for theBenchmark
% 212.77/30.70 % SZS output start Proof for theBenchmark
% See solution above
% 212.77/30.70 % (16258)------------------------------
% 212.77/30.70 % (16258)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 212.77/30.70 % (16258)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 212.77/30.70 % (16258)Termination reason: Refutation
% 212.77/30.70
% 212.77/30.70 % (16258)Memory used [KB]: 19446
% 212.77/30.70 % (16258)Time elapsed: 0.958 s
% 212.77/30.70 % (16258)Instructions burned: 2643 (million)
% 212.77/30.70 % (16258)------------------------------
% 212.77/30.70 % (16258)------------------------------
% 212.77/30.70 % (15299)Success in time 30.344 s
%------------------------------------------------------------------------------