TSTP Solution File: NUM464+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM464+1 : 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 : n009.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 17:59:46 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 48 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 16 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(subsumption_resolution,[],[f243,f132]) ).
fof(f132,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f243,plain,
~ aNaturalNumber0(sz10),
inference(resolution,[],[f240,f124]) ).
fof(f124,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f240,plain,
~ sdtlseqdt0(sz10,sz10),
inference(backward_demodulation,[],[f145,f237]) ).
fof(f237,plain,
sz10 = xm,
inference(subsumption_resolution,[],[f236,f141]) ).
fof(f141,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
fof(f236,plain,
( sz10 = xm
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f235,f146]) ).
fof(f146,plain,
sz00 != xm,
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( sz00 != xm
& ~ sdtlseqdt0(sz10,xm) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ( sz00 != xm
=> sdtlseqdt0(sz10,xm) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
( sz00 != xm
=> sdtlseqdt0(sz10,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f235,plain,
( sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f147,f145]) ).
fof(f147,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| ~ aNaturalNumber0(X0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( sz10 = X0
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( sz10 = X0
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz10 = X0
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f145,plain,
~ sdtlseqdt0(sz10,xm),
inference(cnf_transformation,[],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM464+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 06:33:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (29112)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 (2999ds/39Mi)
% 0.19/0.50 % (29128)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.50 % (29113)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (29105)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (29105)First to succeed.
% 0.19/0.51 % (29105)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (29105)------------------------------
% 0.19/0.51 % (29105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29105)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (29105)Memory used [KB]: 6012
% 0.19/0.51 % (29105)Time elapsed: 0.122 s
% 0.19/0.51 % (29105)Instructions burned: 4 (million)
% 0.19/0.51 % (29105)------------------------------
% 0.19/0.51 % (29105)------------------------------
% 0.19/0.51 % (29104)Success in time 0.172 s
%------------------------------------------------------------------------------