TSTP Solution File: NUM549+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM549+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 : 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 : Sun May 5 08:37:56 EDT 2024
% Result : Theorem 0.19s 0.38s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 94 ( 33 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 42 ~; 32 |; 17 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 37 ( 30 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f524,plain,
$false,
inference(trivial_inequality_removal,[],[f523]) ).
fof(f523,plain,
xk != xk,
inference(superposition,[],[f249,f507]) ).
fof(f507,plain,
sz00 = xk,
inference(backward_demodulation,[],[f424,f502]) ).
fof(f502,plain,
xk = sbrdtbr0(slcrc0),
inference(backward_demodulation,[],[f241,f497]) ).
fof(f497,plain,
slcrc0 = xQ,
inference(resolution,[],[f496,f239]) ).
fof(f239,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& isFinite0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(f496,plain,
( ~ aSet0(xQ)
| slcrc0 = xQ ),
inference(resolution,[],[f340,f452]) ).
fof(f452,plain,
! [X0] : ~ aElementOf0(X0,xQ),
inference(duplicate_literal_removal,[],[f451]) ).
fof(f451,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xQ) ),
inference(resolution,[],[f441,f239]) ).
fof(f441,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,xQ) ),
inference(resolution,[],[f292,f236]) ).
fof(f236,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f292,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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(f340,plain,
! [X0] :
( aElementOf0(sK16(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK16(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f207,f208]) ).
fof(f208,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK16(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,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(f241,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f424,plain,
sz00 = sbrdtbr0(slcrc0),
inference(resolution,[],[f390,f398]) ).
fof(f398,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f338]) ).
fof(f338,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f209]) ).
fof(f390,plain,
( ~ aSet0(slcrc0)
| sz00 = sbrdtbr0(slcrc0) ),
inference(equality_resolution,[],[f289]) ).
fof(f289,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f249,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM549+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 14:27:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (3017)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (3020)WARNING: value z3 for option sas not known
% 0.19/0.36 % (3018)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37 % (3021)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37 % (3019)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.37 % (3022)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)
% 0.19/0.37 % (3020)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)
% 0.19/0.37 % (3023)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)
% 0.19/0.37 % (3024)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)
% 0.19/0.38 TRYING [1]
% 0.19/0.38 TRYING [1]
% 0.19/0.38 % (3023)First to succeed.
% 0.19/0.38 TRYING [2]
% 0.19/0.38 % (3023)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3017"
% 0.19/0.38 % (3020)Also succeeded, but the first one will report.
% 0.19/0.38 TRYING [2]
% 0.19/0.38 % (3023)Refutation found. Thanks to Tanya!
% 0.19/0.38 % SZS status Theorem for theBenchmark
% 0.19/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.38 % (3023)------------------------------
% 0.19/0.38 % (3023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.38 % (3023)Termination reason: Refutation
% 0.19/0.38
% 0.19/0.38 % (3023)Memory used [KB]: 1102
% 0.19/0.38 % (3023)Time elapsed: 0.013 s
% 0.19/0.38 % (3023)Instructions burned: 20 (million)
% 0.19/0.38 % (3017)Success in time 0.02 s
%------------------------------------------------------------------------------