TSTP Solution File: NUM545+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM545+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 : n012.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 Apr 30 14:33:17 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 65 ( 12 unt; 0 def)
% Number of atoms : 244 ( 50 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 299 ( 120 ~; 112 |; 51 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 89 ( 74 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f701,plain,
$false,
inference(resolution,[],[f700,f200]) ).
fof(f200,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f700,plain,
~ aElementOf0(sz00,szNzAzT0),
inference(resolution,[],[f699,f304]) ).
fof(f304,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f254]) ).
fof(f254,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK9(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f172,f173]) ).
fof(f173,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f699,plain,
( ~ aSet0(slcrc0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f695,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(resolution,[],[f643,f506]) ).
fof(f506,plain,
! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(resolution,[],[f216,f303]) ).
fof(f303,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f255]) ).
fof(f255,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f174]) ).
fof(f216,plain,
! [X0,X1] :
( aElementOf0(sK4(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK4(X0,X1),X0)
& aElementOf0(sK4(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f149,f150]) ).
fof(f150,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK4(X0,X1),X0)
& aElementOf0(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f643,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(backward_demodulation,[],[f315,f638]) ).
fof(f638,plain,
slcrc0 = xS,
inference(resolution,[],[f635,f196]) ).
fof(f196,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
fof(f635,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| slcrc0 = xS ),
inference(resolution,[],[f634,f197]) ).
fof(f197,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f55]) ).
fof(f634,plain,
( ~ isFinite0(xS)
| slcrc0 = xS
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(duplicate_literal_removal,[],[f630]) ).
fof(f630,plain,
( slcrc0 = xS
| ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| slcrc0 = xS ),
inference(resolution,[],[f300,f424]) ).
fof(f424,plain,
( ~ aElementOf0(szmzazxdt0(xS),xS)
| slcrc0 = xS ),
inference(resolution,[],[f421,f202]) ).
fof(f202,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f421,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(szmzazxdt0(xS),xS)
| slcrc0 = xS ),
inference(resolution,[],[f411,f196]) ).
fof(f411,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzazxdt0(xS),X0)
| ~ aSet0(szNzAzT0)
| slcrc0 = xS ),
inference(resolution,[],[f215,f334]) ).
fof(f334,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| slcrc0 = xS ),
inference(resolution,[],[f332,f228]) ).
fof(f228,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f332,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| slcrc0 = xS ),
inference(resolution,[],[f198,f195]) ).
fof(f195,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( aSubsetOf0(xS,slbdtrb0(X0))
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f57]) ).
fof(f57,conjecture,
? [X0] :
( aSubsetOf0(xS,slbdtrb0(X0))
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f198,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| slcrc0 = xS ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| slcrc0 = xS ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
( slcrc0 != xS
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2035) ).
fof(f215,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f300,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK7(X0,X1),X1)
& aElementOf0(sK7(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f162,f163]) ).
fof(f163,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK7(X0,X1),X1)
& aElementOf0(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f315,plain,
( ~ aSubsetOf0(xS,slcrc0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f195,f201]) ).
fof(f201,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM545+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n012.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 Apr 29 23:38:57 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (22955)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (22958)WARNING: value z3 for option sas not known
% 0.20/0.37 % (22957)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (22961)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)
% 0.20/0.37 % (22959)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (22962)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)
% 0.20/0.37 % (22958)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)
% 0.20/0.37 % (22960)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)
% 0.20/0.38 % (22956)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 % (22961)First to succeed.
% 0.20/0.39 % (22958)Also succeeded, but the first one will report.
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 % (22961)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (22961)------------------------------
% 0.20/0.39 % (22961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.39 % (22961)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (22961)Memory used [KB]: 1207
% 0.20/0.39 % (22961)Time elapsed: 0.019 s
% 0.20/0.39 % (22961)Instructions burned: 32 (million)
% 0.20/0.39 % (22961)------------------------------
% 0.20/0.39 % (22961)------------------------------
% 0.20/0.39 % (22955)Success in time 0.034 s
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