TSTP Solution File: NUM599+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM599+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 : n019.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 38.23s 5.89s
% Output : Refutation 38.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 22 unt; 0 def)
% Number of atoms : 140 ( 43 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 145 ( 56 ~; 46 |; 36 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 34 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f375966,plain,
$false,
inference(subsumption_resolution,[],[f375965,f370478]) ).
fof(f370478,plain,
sdtlpdtrp0(xe,sK48(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK48(xe))),
inference(unit_resulting_resolution,[],[f370474,f430]) ).
fof(f430,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f370474,plain,
aElementOf0(sK48(xe),szNzAzT0),
inference(forward_demodulation,[],[f370469,f429]) ).
fof(f429,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f107]) ).
fof(f370469,plain,
aElementOf0(sK48(xe),szDzozmdt0(xe)),
inference(unit_resulting_resolution,[],[f370465,f527]) ).
fof(f527,plain,
! [X0] :
( ~ sP11(X0)
| aElementOf0(sK48(X0),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,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])],[f328,f329]) ).
fof(f329,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(f328,plain,
! [X0] :
( ? [X1,X2] :
( sdtlpdtrp0(X0,X1) = sdtlpdtrp0(X0,X2)
& X1 != X2
& aElementOf0(X2,szDzozmdt0(X0))
& aElementOf0(X1,szDzozmdt0(X0)) )
| ~ sP11(X0) ),
inference(rectify,[],[f327]) ).
fof(f327,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,[],[f246]) ).
fof(f246,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(f370465,plain,
sP11(xe),
inference(subsumption_resolution,[],[f370464,f419]) ).
fof(f419,plain,
~ isCountable0(xO),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
~ isCountable0(xO),
inference(flattening,[],[f98]) ).
fof(f98,negated_conjecture,
~ isCountable0(xO),
inference(negated_conjecture,[],[f97]) ).
fof(f97,conjecture,
isCountable0(xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f370464,plain,
( isCountable0(xO)
| sP11(xe) ),
inference(forward_demodulation,[],[f370463,f425]) ).
fof(f425,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/sandbox/benchmark/theBenchmark.p',m__4891) ).
fof(f370463,plain,
( sP11(xe)
| isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(subsumption_resolution,[],[f370434,f453]) ).
fof(f453,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/sandbox/benchmark/theBenchmark.p',m__4854) ).
fof(f370434,plain,
( sP11(xe)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(resolution,[],[f158885,f454]) ).
fof(f454,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4930) ).
fof(f158885,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP11(xe)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xe,X0)) ),
inference(subsumption_resolution,[],[f158868,f428]) ).
fof(f428,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f107]) ).
fof(f158868,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| sP11(xe)
| ~ isCountable0(X0)
| isCountable0(sdtlcdtrc0(xe,X0))
| ~ aFunction0(xe) ),
inference(superposition,[],[f531,f429]) ).
fof(f531,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sP11(X0)
| ~ isCountable0(X1)
| isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtlcdtrc0(X0,X1))
| sP11(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(definition_folding,[],[f157,f246]) ).
fof(f157,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,[],[f156]) ).
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(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/sandbox/benchmark/theBenchmark.p',mImgCount) ).
fof(f375965,plain,
sdtlpdtrp0(xe,sK48(xe)) != szmzizndt0(sdtlpdtrp0(xN,sK48(xe))),
inference(forward_demodulation,[],[f375954,f372303]) ).
fof(f372303,plain,
sdtlpdtrp0(xe,sK48(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK49(xe))),
inference(forward_demodulation,[],[f371725,f370466]) ).
fof(f370466,plain,
sdtlpdtrp0(xe,sK48(xe)) = sdtlpdtrp0(xe,sK49(xe)),
inference(unit_resulting_resolution,[],[f370465,f530]) ).
fof(f530,plain,
! [X0] :
( ~ sP11(X0)
| sdtlpdtrp0(X0,sK48(X0)) = sdtlpdtrp0(X0,sK49(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f371725,plain,
sdtlpdtrp0(xe,sK49(xe)) = szmzizndt0(sdtlpdtrp0(xN,sK49(xe))),
inference(unit_resulting_resolution,[],[f370475,f430]) ).
fof(f370475,plain,
aElementOf0(sK49(xe),szNzAzT0),
inference(forward_demodulation,[],[f370468,f429]) ).
fof(f370468,plain,
aElementOf0(sK49(xe),szDzozmdt0(xe)),
inference(unit_resulting_resolution,[],[f370465,f528]) ).
fof(f528,plain,
! [X0] :
( ~ sP11(X0)
| aElementOf0(sK49(X0),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f375954,plain,
szmzizndt0(sdtlpdtrp0(xN,sK48(xe))) != szmzizndt0(sdtlpdtrp0(xN,sK49(xe))),
inference(unit_resulting_resolution,[],[f370475,f370474,f370467,f473]) ).
fof(f473,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f126]) ).
fof(f126,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/sandbox/benchmark/theBenchmark.p',m__3821) ).
fof(f370467,plain,
sK48(xe) != sK49(xe),
inference(unit_resulting_resolution,[],[f370465,f529]) ).
fof(f529,plain,
! [X0] :
( ~ sP11(X0)
| sK48(X0) != sK49(X0) ),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM599+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 05:49:52 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (11672)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (11675)WARNING: value z3 for option sas not known
% 0.14/0.37 % (11679)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 % (11674)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 % (11676)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (11675)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 % (11677)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)
% 0.14/0.38 % (11673)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (11678)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)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.48 TRYING [4]
% 0.21/0.49 TRYING [4]
% 1.74/0.60 TRYING [5]
% 2.01/0.65 TRYING [5]
% 3.76/0.89 TRYING [6]
% 4.66/1.07 TRYING [6]
% 7.80/1.48 TRYING [1]
% 7.80/1.48 TRYING [2]
% 7.80/1.49 TRYING [7]
% 7.80/1.49 TRYING [3]
% 8.31/1.54 TRYING [4]
% 9.29/1.70 TRYING [5]
% 11.43/2.00 TRYING [7]
% 12.07/2.09 TRYING [6]
% 16.58/2.73 TRYING [8]
% 17.25/2.84 TRYING [7]
% 23.45/3.71 TRYING [8]
% 29.94/4.64 TRYING [8]
% 32.50/5.06 TRYING [9]
% 38.23/5.87 % (11679)First to succeed.
% 38.23/5.87 % (11679)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11672"
% 38.23/5.89 % (11679)Refutation found. Thanks to Tanya!
% 38.23/5.89 % SZS status Theorem for theBenchmark
% 38.23/5.89 % SZS output start Proof for theBenchmark
% See solution above
% 38.23/5.89 % (11679)------------------------------
% 38.23/5.89 % (11679)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 38.23/5.89 % (11679)Termination reason: Refutation
% 38.23/5.89
% 38.23/5.89 % (11679)Memory used [KB]: 145763
% 38.23/5.89 % (11679)Time elapsed: 5.498 s
% 38.23/5.89 % (11679)Instructions burned: 13920 (million)
% 38.23/5.89 % (11672)Success in time 5.478 s
%------------------------------------------------------------------------------