TSTP Solution File: NUM549+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM549+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 : n020.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 14:33:19 EDT 2024
% Result : Theorem 0.10s 0.35s
% Output : Refutation 0.16s
% 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(f456,plain,
$false,
inference(trivial_inequality_removal,[],[f455]) ).
fof(f455,plain,
sz00 != sz00,
inference(superposition,[],[f232,f442]) ).
fof(f442,plain,
sz00 = xk,
inference(forward_demodulation,[],[f439,f383]) ).
fof(f383,plain,
sz00 = sbrdtbr0(slcrc0),
inference(resolution,[],[f351,f359]) ).
fof(f359,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f299]) ).
fof(f299,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK12(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f197,f198]) ).
fof(f198,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK12(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,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/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f351,plain,
( ~ aSet0(slcrc0)
| sz00 = sbrdtbr0(slcrc0) ),
inference(equality_resolution,[],[f250]) ).
fof(f250,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,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/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f439,plain,
xk = sbrdtbr0(slcrc0),
inference(backward_demodulation,[],[f235,f435]) ).
fof(f435,plain,
slcrc0 = xQ,
inference(resolution,[],[f433,f233]) ).
fof(f233,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& isFinite0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(f433,plain,
( ~ aSet0(xQ)
| slcrc0 = xQ ),
inference(resolution,[],[f301,f402]) ).
fof(f402,plain,
! [X0] : ~ aElementOf0(X0,xQ),
inference(duplicate_literal_removal,[],[f401]) ).
fof(f401,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xQ) ),
inference(resolution,[],[f395,f233]) ).
fof(f395,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,xQ) ),
inference(resolution,[],[f253,f226]) ).
fof(f226,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f253,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,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/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f301,plain,
! [X0] :
( aElementOf0(sK12(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f235,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f232,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM549+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.33 % Computer : n020.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 23:42:02 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % (15229)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (15235)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)
% 0.10/0.35 % (15235)First to succeed.
% 0.10/0.35 % (15235)Refutation found. Thanks to Tanya!
% 0.10/0.35 % SZS status Theorem for theBenchmark
% 0.10/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.35 % (15235)------------------------------
% 0.16/0.35 % (15235)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.35 % (15235)Termination reason: Refutation
% 0.16/0.35
% 0.16/0.35 % (15235)Memory used [KB]: 1022
% 0.16/0.35 % (15235)Time elapsed: 0.010 s
% 0.16/0.35 % (15235)Instructions burned: 15 (million)
% 0.16/0.35 % (15235)------------------------------
% 0.16/0.35 % (15235)------------------------------
% 0.16/0.35 % (15229)Success in time 0.024 s
%------------------------------------------------------------------------------