TSTP Solution File: NUM482+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM482+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue May 21 02:01:39 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 169 ( 69 equ)
% Maximal formula atoms : 20 ( 7 avg)
% Number of connectives : 214 ( 69 ~; 64 |; 71 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 30 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f337,plain,
$false,
inference(resolution,[],[f336,f189]) ).
fof(f189,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f336,plain,
~ aNaturalNumber0(sz10),
inference(resolution,[],[f327,f173]) ).
fof(f173,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716) ).
fof(f327,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(resolution,[],[f326,f168]) ).
fof(f168,plain,
isPrime0(xk),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ! [X0] :
( ( ~ isPrime0(X0)
& ( sP1(X0)
| sz10 = X0
| sz00 = X0 ) )
| ( ~ doDivides0(X0,xk)
& ! [X1] :
( sdtasdt0(X0,X1) != xk
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& isPrime0(xk)
& ! [X2] :
( xk = X2
| sz10 = X2
| ( ~ doDivides0(X2,xk)
& ! [X3] :
( xk != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ) )
| ~ aNaturalNumber0(X2) ) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
( ! [X2] :
( ( ~ isPrime0(X2)
& ( sP1(X2)
| sz10 = X2
| sz00 = X2 ) )
| ( ~ doDivides0(X2,xk)
& ! [X5] :
( xk != sdtasdt0(X2,X5)
| ~ aNaturalNumber0(X5) ) )
| ~ aNaturalNumber0(X2) )
& isPrime0(xk)
& ! [X0] :
( xk = X0
| sz10 = X0
| ( ~ doDivides0(X0,xk)
& ! [X1] :
( sdtasdt0(X0,X1) != xk
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) ) ),
inference(definition_folding,[],[f48,f114,f113]) ).
fof(f113,plain,
! [X2,X3] :
( ? [X4] :
( sdtasdt0(X3,X4) = X2
& aNaturalNumber0(X4) )
| ~ sP0(X2,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f114,plain,
! [X2] :
( ? [X3] :
( X2 != X3
& sz10 != X3
& doDivides0(X3,X2)
& sP0(X2,X3)
& aNaturalNumber0(X3) )
| ~ sP1(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f48,plain,
( ! [X2] :
( ( ~ isPrime0(X2)
& ( ? [X3] :
( X2 != X3
& sz10 != X3
& doDivides0(X3,X2)
& ? [X4] :
( sdtasdt0(X3,X4) = X2
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3) )
| sz10 = X2
| sz00 = X2 ) )
| ( ~ doDivides0(X2,xk)
& ! [X5] :
( xk != sdtasdt0(X2,X5)
| ~ aNaturalNumber0(X5) ) )
| ~ aNaturalNumber0(X2) )
& isPrime0(xk)
& ! [X0] :
( xk = X0
| sz10 = X0
| ( ~ doDivides0(X0,xk)
& ! [X1] :
( sdtasdt0(X0,X1) != xk
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
( ! [X2] :
( ( ~ isPrime0(X2)
& ( ? [X3] :
( X2 != X3
& sz10 != X3
& doDivides0(X3,X2)
& ? [X4] :
( sdtasdt0(X3,X4) = X2
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3) )
| sz10 = X2
| sz00 = X2 ) )
| ( ~ doDivides0(X2,xk)
& ! [X5] :
( xk != sdtasdt0(X2,X5)
| ~ aNaturalNumber0(X5) ) )
| ~ aNaturalNumber0(X2) )
& isPrime0(xk)
& ! [X0] :
( xk = X0
| sz10 = X0
| ( ~ doDivides0(X0,xk)
& ! [X1] :
( sdtasdt0(X0,X1) != xk
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ( ( isPrime0(xk)
& ! [X0] :
( ( ( doDivides0(X0,xk)
| ? [X1] :
( sdtasdt0(X0,X1) = xk
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xk = X0
| sz10 = X0 ) ) )
=> ? [X2] :
( ( isPrime0(X2)
| ( ! [X3] :
( ( doDivides0(X3,X2)
& ? [X4] :
( sdtasdt0(X3,X4) = X2
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3) )
=> ( X2 = X3
| sz10 = X3 ) )
& sz10 != X2
& sz00 != X2 ) )
& ( doDivides0(X2,xk)
| ? [X5] :
( xk = sdtasdt0(X2,X5)
& aNaturalNumber0(X5) ) )
& aNaturalNumber0(X2) ) ),
inference(rectify,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( ( isPrime0(xk)
& ! [X0] :
( ( ( doDivides0(X0,xk)
| ? [X1] :
( sdtasdt0(X0,X1) = xk
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xk = X0
| sz10 = X0 ) ) )
=> ? [X0] :
( ( isPrime0(X0)
| ( ! [X1] :
( ( doDivides0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) )
& ( doDivides0(X0,xk)
| ? [X1] :
( sdtasdt0(X0,X1) = xk
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( ( isPrime0(xk)
& ! [X0] :
( ( ( doDivides0(X0,xk)
| ? [X1] :
( sdtasdt0(X0,X1) = xk
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xk = X0
| sz10 = X0 ) ) )
=> ? [X0] :
( ( isPrime0(X0)
| ( ! [X1] :
( ( doDivides0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) )
& ( doDivides0(X0,xk)
| ? [X1] :
( sdtasdt0(X0,X1) = xk
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f326,plain,
( ~ isPrime0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(trivial_inequality_removal,[],[f325]) ).
fof(f325,plain,
( xk != xk
| ~ isPrime0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[],[f171,f320]) ).
fof(f320,plain,
xk = sdtasdt0(xk,sz10),
inference(resolution,[],[f196,f173]) ).
fof(f196,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f171,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != xk
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM482+3 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 03:45:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (15737)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (15743)WARNING: value z3 for option sas not known
% 0.15/0.38 % (15741)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (15744)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (15745)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)
% 0.15/0.38 % (15746)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)
% 0.15/0.38 % (15743)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)
% 0.15/0.38 % (15742)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 Detected minimum model sizes of [3]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.15/0.39 Detected minimum model sizes of [3]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.15/0.39 % (15747)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)
% 0.15/0.39 % (15746)First to succeed.
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (15746)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15737"
% 0.15/0.39 % (15746)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (15746)------------------------------
% 0.15/0.39 % (15746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (15746)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (15746)Memory used [KB]: 997
% 0.15/0.39 % (15746)Time elapsed: 0.010 s
% 0.15/0.39 % (15746)Instructions burned: 14 (million)
% 0.15/0.39 % (15737)Success in time 0.028 s
%------------------------------------------------------------------------------