TSTP Solution File: NUM489+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM489+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_sat --cores 0 -t %d %s
% Computer : n019.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 18:05:25 EDT 2022
% Result : Theorem 0.10s 0.40s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 85 ( 26 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 93 ( 39 ~; 35 |; 10 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f850,plain,
$false,
inference(avatar_sat_refutation,[],[f465,f466,f657,f759,f848]) ).
fof(f848,plain,
~ spl4_41,
inference(avatar_split_clause,[],[f232,f756]) ).
fof(f756,plain,
( spl4_41
<=> xn = sdtpldt0(xp,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f232,plain,
xn != sdtpldt0(xp,xr),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
xn != sdtpldt0(xp,xr),
inference(flattening,[],[f46]) ).
fof(f46,negated_conjecture,
xn != sdtpldt0(xp,xr),
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
xn = sdtpldt0(xp,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f759,plain,
( ~ spl4_6
| ~ spl4_5
| spl4_41
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f754,f403,f756,f395,f399]) ).
fof(f399,plain,
( spl4_6
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f395,plain,
( spl4_5
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f403,plain,
( spl4_7
<=> sdtlseqdt0(xp,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f754,plain,
( xn = sdtpldt0(xp,xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl4_7 ),
inference(forward_demodulation,[],[f732,f204]) ).
fof(f204,plain,
xr = sdtmndt0(xn,xp),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f732,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| xn = sdtpldt0(xp,sdtmndt0(xn,xp))
| ~ spl4_7 ),
inference(resolution,[],[f253,f404]) ).
fof(f404,plain,
( sdtlseqdt0(xp,xn)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f253,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 )
& ( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 )
& ( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X2] :
( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtmndt0(X1,X0) = X2 )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X1,X0] :
( ! [X2] :
( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtmndt0(X1,X0) = X2 )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtmndt0(X1,X0) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f657,plain,
spl4_6,
inference(avatar_split_clause,[],[f178,f399]) ).
fof(f178,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f466,plain,
spl4_5,
inference(avatar_split_clause,[],[f179,f395]) ).
fof(f179,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f465,plain,
spl4_7,
inference(avatar_split_clause,[],[f188,f403]) ).
fof(f188,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : NUM489+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Aug 30 06:46:20 EDT 2022
% 0.10/0.26 % CPUTime :
% 0.10/0.34 % (12937)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.10/0.35 % (12942)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.35 % (12934)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)
% 0.10/0.36 % (12933)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.36 % (12955)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.10/0.36 % (12938)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)
% 0.10/0.36 % (12941)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.37 % (12936)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.37 % (12932)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.10/0.37 % (12947)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.10/0.37 % (12959)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)
% 0.10/0.37 % (12940)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.37 % (12940)Instruction limit reached!
% 0.10/0.37 % (12940)------------------------------
% 0.10/0.37 % (12940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.37 % (12940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.37 % (12940)Termination reason: Unknown
% 0.10/0.37 % (12940)Termination phase: Preprocessing 3
% 0.10/0.37
% 0.10/0.37 % (12940)Memory used [KB]: 1023
% 0.10/0.37 % (12940)Time elapsed: 0.003 s
% 0.10/0.37 % (12940)Instructions burned: 2 (million)
% 0.10/0.37 % (12940)------------------------------
% 0.10/0.37 % (12940)------------------------------
% 0.10/0.37 % (12933)Refutation not found, incomplete strategy% (12933)------------------------------
% 0.10/0.37 % (12933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.38 % (12952)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.10/0.38 % (12951)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.38 % (12945)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.38 % (12939)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.39 % (12935)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)
% 0.10/0.39 % (12933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.39 % (12933)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.39
% 0.10/0.39 % (12933)Memory used [KB]: 5628
% 0.10/0.39 % (12933)Time elapsed: 0.077 s
% 0.10/0.39 % (12933)Instructions burned: 10 (million)
% 0.10/0.39 % (12933)------------------------------
% 0.10/0.39 % (12933)------------------------------
% 0.10/0.39 % (12954)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.10/0.39 TRYING [1]
% 0.10/0.40 % (12949)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.10/0.40 TRYING [2]
% 0.10/0.40 % (12942)First to succeed.
% 0.10/0.40 % (12942)Refutation found. Thanks to Tanya!
% 0.10/0.40 % SZS status Theorem for theBenchmark
% 0.10/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.40 % (12942)------------------------------
% 0.10/0.40 % (12942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.40 % (12942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.40 % (12942)Termination reason: Refutation
% 0.10/0.40
% 0.10/0.40 % (12942)Memory used [KB]: 6012
% 0.10/0.40 % (12942)Time elapsed: 0.108 s
% 0.10/0.40 % (12942)Instructions burned: 26 (million)
% 0.10/0.40 % (12942)------------------------------
% 0.10/0.40 % (12942)------------------------------
% 0.10/0.40 % (12931)Success in time 0.138 s
%------------------------------------------------------------------------------