TSTP Solution File: NUM491+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM491+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_uns --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 17:59:59 EDT 2022
% Result : Theorem 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 22 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 20 ( 9 ~; 5 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f360,plain,
$false,
inference(subsumption_resolution,[],[f359,f216]) ).
fof(f216,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f359,plain,
~ aNaturalNumber0(xm),
inference(resolution,[],[f357,f280]) ).
fof(f280,plain,
! [X0] :
( ~ sQ14_eqProxy(sdtasdt0(xp,X0),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0) ),
inference(equality_proxy_replacement,[],[f158,f265]) ).
fof(f265,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ14_eqProxy])]) ).
fof(f158,plain,
! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtasdt0(xp,xm) )
& ~ doDivides0(xp,sdtasdt0(xp,xm)) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,X0) = sdtasdt0(xp,xm) )
| doDivides0(xp,sdtasdt0(xp,xm)) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,X0) = sdtasdt0(xp,xm) )
| doDivides0(xp,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f357,plain,
! [X0] : sQ14_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM491+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.30 % Computer : n026.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Aug 30 06:58:05 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.46 % (4658)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.46 % (4647)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.46 % (4647)Instruction limit reached!
% 0.15/0.46 % (4647)------------------------------
% 0.15/0.46 % (4647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (4647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46 % (4647)Termination reason: Unknown
% 0.15/0.46 % (4647)Termination phase: Saturation
% 0.15/0.46
% 0.15/0.46 % (4647)Memory used [KB]: 1535
% 0.15/0.46 % (4647)Time elapsed: 0.005 s
% 0.15/0.46 % (4647)Instructions burned: 13 (million)
% 0.15/0.46 % (4647)------------------------------
% 0.15/0.46 % (4647)------------------------------
% 0.15/0.47 % (4658)Instruction limit reached!
% 0.15/0.47 % (4658)------------------------------
% 0.15/0.47 % (4658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (4663)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.15/0.47 % (4650)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)
% 0.15/0.47 % (4655)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.48 % (4666)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)
% 0.15/0.48 % (4658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (4658)Termination reason: Unknown
% 0.15/0.48 % (4658)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (4658)Memory used [KB]: 6140
% 0.15/0.48 % (4658)Time elapsed: 0.008 s
% 0.15/0.48 % (4658)Instructions burned: 8 (million)
% 0.15/0.48 % (4658)------------------------------
% 0.15/0.48 % (4658)------------------------------
% 0.15/0.48 % (4671)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.48 % (4665)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 (2999ds/82Mi)
% 0.15/0.48 % (4671)Instruction limit reached!
% 0.15/0.48 % (4671)------------------------------
% 0.15/0.48 % (4671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (4671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (4671)Termination reason: Unknown
% 0.15/0.48 % (4671)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (4671)Memory used [KB]: 6140
% 0.15/0.48 % (4671)Time elapsed: 0.133 s
% 0.15/0.48 % (4671)Instructions burned: 9 (million)
% 0.15/0.48 % (4671)------------------------------
% 0.15/0.48 % (4671)------------------------------
% 0.15/0.48 % (4663)First to succeed.
% 0.15/0.48 % (4641)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.49 % (4657)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.49 % (4663)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Theorem for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (4663)------------------------------
% 0.15/0.49 % (4663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (4663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (4663)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (4663)Memory used [KB]: 6140
% 0.15/0.49 % (4663)Time elapsed: 0.133 s
% 0.15/0.49 % (4663)Instructions burned: 8 (million)
% 0.15/0.49 % (4663)------------------------------
% 0.15/0.49 % (4663)------------------------------
% 0.15/0.49 % (4638)Success in time 0.175 s
%------------------------------------------------------------------------------