TSTP Solution File: NUM477+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM477+2 : 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 : 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 : Sun May 5 08:30:48 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 66 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 22 ~; 20 |; 15 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f539,plain,
$false,
inference(subsumption_resolution,[],[f538,f118]) ).
fof(f118,plain,
sz00 != xn,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( sz00 != xn
& doDivides0(xm,xn)
& xn = sdtasdt0(xm,sK0)
& aNaturalNumber0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f36,f97]) ).
fof(f97,plain,
( ? [X0] :
( xn = sdtasdt0(xm,X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtasdt0(xm,sK0)
& aNaturalNumber0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
( sz00 != xn
& doDivides0(xm,xn)
& ? [X0] :
( xn = sdtasdt0(xm,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494_04) ).
fof(f538,plain,
sz00 = xn,
inference(forward_demodulation,[],[f525,f189]) ).
fof(f189,plain,
sz00 = sdtasdt0(xm,sz00),
inference(resolution,[],[f123,f113]) ).
fof(f113,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494) ).
fof(f123,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,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(f525,plain,
xn = sdtasdt0(xm,sz00),
inference(superposition,[],[f116,f516]) ).
fof(f516,plain,
sz00 = sK0,
inference(subsumption_resolution,[],[f515,f115]) ).
fof(f115,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f98]) ).
fof(f515,plain,
( sz00 = sK0
| ~ aNaturalNumber0(sK0) ),
inference(subsumption_resolution,[],[f514,f113]) ).
fof(f514,plain,
( sz00 = sK0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0) ),
inference(subsumption_resolution,[],[f496,f112]) ).
fof(f112,plain,
~ sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ~ sdtlseqdt0(xm,xn)
& ! [X0] :
( xn != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
| ? [X0] :
( xn = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
( sdtlseqdt0(xm,xn)
| ? [X0] :
( xn = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f496,plain,
( sdtlseqdt0(xm,xn)
| sz00 = sK0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[],[f139,f116]) ).
fof(f139,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(f116,plain,
xn = sdtasdt0(xm,sK0),
inference(cnf_transformation,[],[f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM477+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 14:16:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (10290)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (10296)WARNING: value z3 for option sas not known
% 0.14/0.36 % (10296)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)
% 0.14/0.37 % (10298)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)
% 0.14/0.37 % (10294)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (10300)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)
% 0.14/0.37 % (10297)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (10295)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (10299)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)
% 0.14/0.37 % (10296)First to succeed.
% 0.14/0.37 % (10296)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10290"
% 0.14/0.37 % (10296)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (10296)------------------------------
% 0.14/0.37 % (10296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (10296)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (10296)Memory used [KB]: 995
% 0.14/0.37 % (10296)Time elapsed: 0.010 s
% 0.14/0.37 % (10296)Instructions burned: 26 (million)
% 0.14/0.37 % (10290)Success in time 0.014 s
%------------------------------------------------------------------------------