TSTP Solution File: NUM504+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM504+3 : 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 : n017.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 08:33:56 EDT 2024
% Result : ContradictoryAxioms 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 114 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 121 ( 46 ~; 36 |; 33 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2082,plain,
$false,
inference(subsumption_resolution,[],[f2081,f605]) ).
fof(f605,plain,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(subsumption_resolution,[],[f604,f584]) ).
fof(f584,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(subsumption_resolution,[],[f583,f209]) ).
fof(f209,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f583,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f557,f204]) ).
fof(f204,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f557,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f295,f205]) ).
fof(f205,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f295,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,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',mSortsB_02) ).
fof(f604,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(subsumption_resolution,[],[f603,f229]) ).
fof(f229,plain,
aNaturalNumber0(sK11),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK10)
& aNaturalNumber0(sK10)
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK11)
& aNaturalNumber0(sK11)
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f58,f152,f151]) ).
fof(f151,plain,
( ? [X0] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK10)
& aNaturalNumber0(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X1] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X1)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK11)
& aNaturalNumber0(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& ? [X0] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0)
& aNaturalNumber0(X0) )
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ? [X1] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X1)
& aNaturalNumber0(X1) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& ? [X0] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0)
& aNaturalNumber0(X0) )
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ? [X0] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X0)
& aNaturalNumber0(X0) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2414) ).
fof(f603,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f294,f230]) ).
fof(f230,plain,
sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK11),
inference(cnf_transformation,[],[f153]) ).
fof(f294,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f2081,plain,
~ aNaturalNumber0(sdtasdt0(xp,xm)),
inference(subsumption_resolution,[],[f2080,f584]) ).
fof(f2080,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(subsumption_resolution,[],[f2079,f362]) ).
fof(f362,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)),
inference(forward_demodulation,[],[f235,f205]) ).
fof(f235,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(cnf_transformation,[],[f153]) ).
fof(f2079,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(subsumption_resolution,[],[f2057,f228]) ).
fof(f228,plain,
sdtasdt0(xn,xm) != sdtasdt0(xp,xm),
inference(cnf_transformation,[],[f153]) ).
fof(f2057,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(resolution,[],[f317,f231]) ).
fof(f231,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f153]) ).
fof(f317,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM504+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 13:49:22 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (10246)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (10249)WARNING: value z3 for option sas not known
% 0.15/0.32 % (10249)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)
% 0.15/0.32 % (10251)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)
% 0.15/0.32 % (10250)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (10248)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (10253)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)
% 0.15/0.32 % (10247)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (10252)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)
% 0.15/0.33 Detected minimum model sizes of [3]
% 0.15/0.33 Detected maximum model sizes of [max]
% 0.15/0.33 TRYING [3]
% 0.15/0.36 TRYING [4]
% 0.15/0.36 % (10249)First to succeed.
% 0.15/0.36 Detected minimum model sizes of [3]
% 0.15/0.36 Detected maximum model sizes of [max]
% 0.15/0.36 % (10249)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10246"
% 0.15/0.37 % (10249)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status ContradictoryAxioms for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (10249)------------------------------
% 0.15/0.37 % (10249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (10249)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (10249)Memory used [KB]: 1837
% 0.15/0.37 % (10249)Time elapsed: 0.045 s
% 0.15/0.37 % (10249)Instructions burned: 102 (million)
% 0.15/0.37 % (10246)Success in time 0.061 s
%------------------------------------------------------------------------------