TSTP Solution File: NUM463+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:28:44 EDT 2024
% Result : Theorem 226.03s 32.58s
% Output : Refutation 226.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 172 ( 81 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 190 ( 73 ~; 84 |; 24 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f605305,plain,
$false,
inference(trivial_inequality_removal,[],[f605304]) ).
fof(f605304,plain,
sz00 != sz00,
inference(superposition,[],[f80,f206660]) ).
fof(f206660,plain,
sz00 = xm,
inference(resolution,[],[f206574,f83]) ).
fof(f83,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__987) ).
fof(f206574,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xm ),
inference(resolution,[],[f205310,f87]) ).
fof(f87,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(f205310,plain,
( ~ sdtlseqdt0(xn,xn)
| sz00 = xm ),
inference(forward_demodulation,[],[f204657,f159]) ).
fof(f159,plain,
xn = sdtasdt0(sz10,xn),
inference(resolution,[],[f93,f83]) ).
fof(f93,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,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(f204657,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(sz10,xn))
| sz00 = xm ),
inference(superposition,[],[f263,f204422]) ).
fof(f204422,plain,
( sz10 = xm
| sz00 = xm ),
inference(resolution,[],[f204343,f84]) ).
fof(f84,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f204343,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = xm
| sz10 = xm ),
inference(resolution,[],[f202538,f87]) ).
fof(f202538,plain,
( ~ sdtlseqdt0(sz00,sz00)
| sz10 = xm
| sz00 = xm ),
inference(forward_demodulation,[],[f201799,f138]) ).
fof(f138,plain,
sz00 = sdtasdt0(xm,sz00),
inference(resolution,[],[f88,f82]) ).
fof(f82,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f88,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f201799,plain,
( ~ sdtlseqdt0(sz00,sdtasdt0(xm,sz00))
| sz10 = xm
| sz00 = xm ),
inference(superposition,[],[f263,f201788]) ).
fof(f201788,plain,
( sz00 = xn
| sz10 = xm
| sz00 = xm ),
inference(resolution,[],[f201787,f85]) ).
fof(f85,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f201787,plain,
( ~ aNaturalNumber0(sz10)
| sz00 = xn
| sz10 = xm
| sz00 = xm ),
inference(resolution,[],[f201786,f82]) ).
fof(f201786,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| sz10 = xm
| sz00 = xm ),
inference(resolution,[],[f201575,f83]) ).
fof(f201575,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| sz10 = xm
| sz00 = xm ),
inference(duplicate_literal_removal,[],[f201526]) ).
fof(f201526,plain,
( sz10 = xm
| sz00 = xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f201263,f95]) ).
fof(f95,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
fof(f201263,plain,
( ~ sdtlseqdt0(sz10,xm)
| sz10 = xm
| sz00 = xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f2414,f263]) ).
fof(f2414,plain,
! [X0] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ~ sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = xn
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f125,f159]) ).
fof(f125,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& sz00 != X0 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(f263,plain,
~ sdtlseqdt0(xn,sdtasdt0(xm,xn)),
inference(backward_demodulation,[],[f81,f259]) ).
fof(f259,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f245,f83]) ).
fof(f245,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) ),
inference(resolution,[],[f101,f82]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,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/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f81,plain,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& sz00 != xm ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ( sz00 != xm
=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
( sz00 != xm
=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f80,plain,
sz00 != xm,
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 15:26:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (23546)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (23554)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)
% 0.13/0.37 % (23551)WARNING: value z3 for option sas not known
% 0.13/0.37 % (23553)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)
% 0.13/0.37 % (23552)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (23549)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (23550)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (23555)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)
% 0.13/0.37 % (23551)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.20/0.44 TRYING [5]
% 0.20/0.45 TRYING [5]
% 0.20/0.55 TRYING [6]
% 0.20/0.56 TRYING [6]
% 3.17/0.80 TRYING [7]
% 3.17/0.83 TRYING [7]
% 6.94/1.39 TRYING [8]
% 7.46/1.43 TRYING [8]
% 7.46/1.47 TRYING [1]
% 7.46/1.47 TRYING [2]
% 7.46/1.47 TRYING [3]
% 7.97/1.47 TRYING [4]
% 8.18/1.51 TRYING [5]
% 9.03/1.63 TRYING [6]
% 11.05/1.98 TRYING [7]
% 16.71/2.77 TRYING [9]
% 16.71/2.81 TRYING [9]
% 17.39/2.81 TRYING [8]
% 31.52/4.91 TRYING [9]
% 36.19/5.57 TRYING [10]
% 38.24/5.80 TRYING [10]
% 59.97/8.89 TRYING [10]
% 70.73/10.44 TRYING [11]
% 74.14/10.96 TRYING [11]
% 113.34/16.51 TRYING [11]
% 130.42/18.98 TRYING [12]
% 137.29/19.90 TRYING [12]
% 196.94/28.42 TRYING [12]
% 226.03/32.55 % (23554)First to succeed.
% 226.03/32.56 % (23554)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23546"
% 226.03/32.58 % (23554)Refutation found. Thanks to Tanya!
% 226.03/32.58 % SZS status Theorem for theBenchmark
% 226.03/32.58 % SZS output start Proof for theBenchmark
% See solution above
% 226.03/32.58 % (23554)------------------------------
% 226.03/32.58 % (23554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 226.03/32.58 % (23554)Termination reason: Refutation
% 226.03/32.58
% 226.03/32.58 % (23554)Memory used [KB]: 223619
% 226.03/32.58 % (23554)Time elapsed: 32.191 s
% 226.03/32.58 % (23554)Instructions burned: 106808 (million)
% 226.03/32.58 % (23546)Success in time 31.733 s
%------------------------------------------------------------------------------