TSTP Solution File: NUM598+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM598+1 : 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 : n010.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 02:10:21 EDT 2024
% Result : Theorem 29.86s 4.62s
% Output : Refutation 29.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 28 unt; 0 def)
% Number of atoms : 185 ( 50 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 190 ( 72 ~; 62 |; 44 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 66 ( 54 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f368750,plain,
$false,
inference(subsumption_resolution,[],[f368749,f363281]) ).
fof(f363281,plain,
sdtlpdtrp0(xe,sK48(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK48(xe))),
inference(unit_resulting_resolution,[],[f363277,f429]) ).
fof(f429,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f363277,plain,
aElementOf0(sK48(xe),szNzAzT0),
inference(forward_demodulation,[],[f363272,f428]) ).
fof(f428,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f106]) ).
fof(f363272,plain,
aElementOf0(sK48(xe),szDzozmdt0(xe)),
inference(unit_resulting_resolution,[],[f363268,f524]) ).
fof(f524,plain,
! [X0] :
( ~ sP11(X0)
| aElementOf0(sK48(X0),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ( sdtlpdtrp0(X0,sK48(X0)) = sdtlpdtrp0(X0,sK49(X0))
& sK48(X0) != sK49(X0)
& aElementOf0(sK49(X0),szDzozmdt0(X0))
& aElementOf0(sK48(X0),szDzozmdt0(X0)) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f327,f328]) ).
fof(f328,plain,
! [X0] :
( ? [X1,X2] :
( sdtlpdtrp0(X0,X1) = sdtlpdtrp0(X0,X2)
& X1 != X2
& aElementOf0(X2,szDzozmdt0(X0))
& aElementOf0(X1,szDzozmdt0(X0)) )
=> ( sdtlpdtrp0(X0,sK48(X0)) = sdtlpdtrp0(X0,sK49(X0))
& sK48(X0) != sK49(X0)
& aElementOf0(sK49(X0),szDzozmdt0(X0))
& aElementOf0(sK48(X0),szDzozmdt0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
! [X0] :
( ? [X1,X2] :
( sdtlpdtrp0(X0,X1) = sdtlpdtrp0(X0,X2)
& X1 != X2
& aElementOf0(X2,szDzozmdt0(X0))
& aElementOf0(X1,szDzozmdt0(X0)) )
| ~ sP11(X0) ),
inference(rectify,[],[f326]) ).
fof(f326,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f363268,plain,
sP11(xe),
inference(subsumption_resolution,[],[f363267,f418]) ).
fof(f418,plain,
~ isCountable0(xO),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
~ isCountable0(xO),
inference(flattening,[],[f97]) ).
fof(f97,negated_conjecture,
~ isCountable0(xO),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
isCountable0(xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f363267,plain,
( isCountable0(xO)
| sP11(xe) ),
inference(forward_demodulation,[],[f363266,f424]) ).
fof(f424,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f95]) ).
fof(f95,axiom,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
fof(f363266,plain,
( sP11(xe)
| isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(subsumption_resolution,[],[f363206,f452]) ).
fof(f452,plain,
isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f94]) ).
fof(f94,axiom,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(f363206,plain,
( sP11(xe)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(resolution,[],[f158614,f75534]) ).
fof(f75534,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(forward_demodulation,[],[f73741,f440]) ).
fof(f440,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f73741,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xd)),
inference(unit_resulting_resolution,[],[f439,f913,f630]) ).
fof(f630,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aElement0(X1)
| aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPttSet) ).
fof(f913,plain,
aElement0(szDzizrdt0(xd)),
inference(unit_resulting_resolution,[],[f425,f451,f487]) ).
fof(f487,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f451,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f94]) ).
fof(f425,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f439,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f110]) ).
fof(f158614,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP11(xe)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xe,X0)) ),
inference(subsumption_resolution,[],[f158597,f427]) ).
fof(f427,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f106]) ).
fof(f158597,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP11(xe)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ aFunction0(xe) ),
inference(superposition,[],[f528,f428]) ).
fof(f528,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP11(X0)
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sP11(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f156,f245]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ? [X2,X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2)
& X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szDzozmdt0(X0)) )
=> ( ! [X2,X3] :
( ( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X0,X2) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
fof(f368749,plain,
sdtlpdtrp0(xe,sK48(xe)) != szmzizndt0(sdtlpdtrp0(xN,sK48(xe))),
inference(forward_demodulation,[],[f368738,f365094]) ).
fof(f365094,plain,
sdtlpdtrp0(xe,sK48(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK49(xe))),
inference(forward_demodulation,[],[f364518,f363269]) ).
fof(f363269,plain,
sdtlpdtrp0(xe,sK48(xe)) = sdtlpdtrp0(xe,sK49(xe)),
inference(unit_resulting_resolution,[],[f363268,f527]) ).
fof(f527,plain,
! [X0] :
( ~ sP11(X0)
| sdtlpdtrp0(X0,sK48(X0)) = sdtlpdtrp0(X0,sK49(X0)) ),
inference(cnf_transformation,[],[f329]) ).
fof(f364518,plain,
sdtlpdtrp0(xe,sK49(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK49(xe))),
inference(unit_resulting_resolution,[],[f363278,f429]) ).
fof(f363278,plain,
aElementOf0(sK49(xe),szNzAzT0),
inference(forward_demodulation,[],[f363271,f428]) ).
fof(f363271,plain,
aElementOf0(sK49(xe),szDzozmdt0(xe)),
inference(unit_resulting_resolution,[],[f363268,f525]) ).
fof(f525,plain,
! [X0] :
( ~ sP11(X0)
| aElementOf0(sK49(X0),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f329]) ).
fof(f368738,plain,
szmzizndt0(sdtlpdtrp0(xN,sK48(xe))) != szmzizndt0(sdtlpdtrp0(xN,sK49(xe))),
inference(unit_resulting_resolution,[],[f363278,f363277,f363270,f470]) ).
fof(f470,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(f363270,plain,
sK48(xe) != sK49(xe),
inference(unit_resulting_resolution,[],[f363268,f526]) ).
fof(f526,plain,
! [X0] :
( ~ sP11(X0)
| sK48(X0) != sK49(X0) ),
inference(cnf_transformation,[],[f329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM598+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 05:24:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (11882)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (11885)WARNING: value z3 for option sas not known
% 0.13/0.37 % (11886)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (11884)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 % (11885)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 % (11887)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 % (11888)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 % (11889)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 % (11883)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [1]
% 0.13/0.40 TRYING [2]
% 0.13/0.40 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.49 TRYING [4]
% 0.21/0.50 TRYING [4]
% 2.00/0.62 TRYING [5]
% 2.03/0.66 TRYING [5]
% 3.90/0.90 TRYING [6]
% 4.66/1.05 TRYING [6]
% 7.89/1.46 TRYING [7]
% 7.93/1.48 TRYING [1]
% 7.93/1.48 TRYING [2]
% 7.93/1.49 TRYING [3]
% 8.40/1.54 TRYING [4]
% 9.49/1.70 TRYING [5]
% 11.06/1.93 TRYING [7]
% 12.21/2.09 TRYING [6]
% 15.73/2.60 TRYING [8]
% 17.35/2.85 TRYING [7]
% 22.83/3.65 TRYING [8]
% 29.03/4.50 TRYING [8]
% 29.86/4.60 % (11889)First to succeed.
% 29.86/4.61 % (11889)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11882"
% 29.86/4.62 % (11889)Refutation found. Thanks to Tanya!
% 29.86/4.62 % SZS status Theorem for theBenchmark
% 29.86/4.62 % SZS output start Proof for theBenchmark
% See solution above
% 29.86/4.62 % (11889)------------------------------
% 29.86/4.62 % (11889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 29.86/4.62 % (11889)Termination reason: Refutation
% 29.86/4.62
% 29.86/4.62 % (11889)Memory used [KB]: 144220
% 29.86/4.62 % (11889)Time elapsed: 4.236 s
% 29.86/4.62 % (11889)Instructions burned: 13698 (million)
% 29.86/4.62 % (11882)Success in time 4.214 s
%------------------------------------------------------------------------------