TSTP Solution File: NUM550+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM550+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.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 : Wed Aug 31 18:05:46 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 76 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 34 ~; 23 |; 19 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f440,plain,
$false,
inference(subsumption_resolution,[],[f439,f352]) ).
fof(f352,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( aSet0(xS)
& sz00 != xk
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(f439,plain,
sz00 = xk,
inference(forward_demodulation,[],[f438,f287]) ).
fof(f287,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( isFinite0(xQ)
& xk = sbrdtbr0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(f438,plain,
sz00 = sbrdtbr0(xQ),
inference(resolution,[],[f426,f427]) ).
fof(f427,plain,
aSet0(xQ),
inference(equality_resolution,[],[f405]) ).
fof(f405,plain,
! [X0] :
( aSet0(X0)
| xQ != X0 ),
inference(definition_unfolding,[],[f344,f389]) ).
fof(f389,plain,
slcrc0 = xQ,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ! [X0] : ~ aElementOf0(X0,xQ)
& slcrc0 = xQ ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
( ~ ? [X0] : aElementOf0(X0,xQ)
& slcrc0 = xQ ),
inference(flattening,[],[f68]) ).
fof(f68,negated_conjecture,
~ ~ ( ~ ? [X0] : aElementOf0(X0,xQ)
& slcrc0 = xQ ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
~ ( ~ ? [X0] : aElementOf0(X0,xQ)
& slcrc0 = xQ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f344,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| aElementOf0(sK15(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f220,f221]) ).
fof(f221,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK15(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( slcrc0 = X0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,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(f426,plain,
( ~ aSet0(xQ)
| sz00 = sbrdtbr0(xQ) ),
inference(equality_resolution,[],[f402]) ).
fof(f402,plain,
! [X0] :
( ~ aSet0(X0)
| sz00 = sbrdtbr0(X0)
| xQ != X0 ),
inference(definition_unfolding,[],[f342,f389]) ).
fof(f342,plain,
! [X0] :
( ~ aSet0(X0)
| sz00 = sbrdtbr0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ~ aSet0(X0)
| ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) ) ),
inference(nnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ~ aSet0(X0)
| ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM550+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 07:15:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (10245)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (10269)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (10261)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (10245)First to succeed.
% 0.20/0.54 % (10249)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (10253)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (10245)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (10245)------------------------------
% 0.20/0.55 % (10245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (10245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (10245)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (10245)Memory used [KB]: 1151
% 0.20/0.55 % (10245)Time elapsed: 0.144 s
% 0.20/0.55 % (10245)Instructions burned: 11 (million)
% 0.20/0.55 % (10245)------------------------------
% 0.20/0.55 % (10245)------------------------------
% 0.20/0.55 % (10242)Success in time 0.194 s
%------------------------------------------------------------------------------