TSTP Solution File: NUM472+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM472+2 : 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 : n006.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 18:05:19 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 24 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 6 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(resolution,[],[f208,f129]) ).
fof(f129,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f208,plain,
~ aNaturalNumber0(xn),
inference(trivial_inequality_removal,[],[f207]) ).
fof(f207,plain,
( sF4 != sF4
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f199,f206]) ).
fof(f206,plain,
sF5(xn) = sF4,
inference(superposition,[],[f196,f198]) ).
fof(f198,plain,
! [X0] : sdtpldt0(xm,X0) = sF5(X0),
introduced(function_definition,[]) ).
fof(f196,plain,
sdtpldt0(xm,xn) = sF4,
introduced(function_definition,[]) ).
fof(f199,plain,
! [X0] :
( sF5(X0) != sF4
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f147,f198,f196]) ).
fof(f147,plain,
! [X0] :
( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,xn) != sdtpldt0(xm,X0) )
& ~ sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,xn) = sdtpldt0(xm,X0) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,xn) = sdtpldt0(xm,X0) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM472+2 : 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
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Tue Aug 30 06:37:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (13977)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (13988)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)
% 0.19/0.52 % (14001)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (13978)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (13977)First to succeed.
% 0.19/0.53 % (13977)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (13977)------------------------------
% 0.19/0.53 % (13977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (13977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (13977)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (13977)Memory used [KB]: 5500
% 0.19/0.53 % (13977)Time elapsed: 0.107 s
% 0.19/0.53 % (13977)Instructions burned: 6 (million)
% 0.19/0.53 % (13977)------------------------------
% 0.19/0.53 % (13977)------------------------------
% 0.19/0.53 % (13973)Success in time 0.181 s
%------------------------------------------------------------------------------