TSTP Solution File: NUM458+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM458+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_uns --cores 0 -t %d %s
% Computer : n010.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 17:59:43 EDT 2022
% Result : Theorem 1.15s 0.67s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 30 ( 10 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 29 ( 14 ~; 9 |; 5 &)
% ( 0 <=>; 1 =>; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128,plain,
$false,
inference(subsumption_resolution,[],[f127,f110]) ).
fof(f110,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f127,plain,
~ aNaturalNumber0(sz00),
inference(subsumption_resolution,[],[f120,f86]) ).
fof(f86,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__718) ).
fof(f120,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(trivial_inequality_removal,[],[f117]) ).
fof(f117,plain,
( ~ aNaturalNumber0(xm)
| xm != xm
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f98,f95]) ).
fof(f95,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f98,plain,
! [X0] :
( xm != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ! [X0] :
( xm != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) )
& ~ sdtlseqdt0(xm,xm) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,negated_conjecture,
~ ( sdtlseqdt0(xm,xm)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtpldt0(xm,X0) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
( sdtlseqdt0(xm,xm)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtpldt0(xm,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM458+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_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:28:44 EDT 2022
% 0.12/0.34 % CPUTime :
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% 0.49/0.64 % (19739)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.15/0.66 % (19734)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.15/0.67 % (19734)First to succeed.
% 1.15/0.67 % (19754)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/82Mi)
% 1.15/0.67 % (19734)Refutation found. Thanks to Tanya!
% 1.15/0.67 % SZS status Theorem for theBenchmark
% 1.15/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.15/0.67 % (19734)------------------------------
% 1.15/0.67 % (19734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.15/0.67 % (19734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.15/0.67 % (19734)Termination reason: Refutation
% 1.15/0.67
% 1.15/0.67 % (19734)Memory used [KB]: 6012
% 1.15/0.67 % (19734)Time elapsed: 0.118 s
% 1.15/0.67 % (19734)Instructions burned: 2 (million)
% 1.15/0.67 % (19734)------------------------------
% 1.15/0.67 % (19734)------------------------------
% 1.15/0.67 % (19571)Success in time 0.327 s
%------------------------------------------------------------------------------