TSTP Solution File: NUM429+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM429+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_sat --cores 0 -t %d %s
% Computer : n024.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 18:05:04 EDT 2022
% Result : Theorem 0.36s 0.68s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 62 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 50 ( 10 ~; 4 |; 34 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 14 ( 4 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(subsumption_resolution,[],[f141,f118]) ).
fof(f118,plain,
aInteger0(sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1)
& aInteger0(sK1)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aInteger0(sK2)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK2)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f78,f80,f79]) ).
fof(f79,plain,
( ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) )
=> ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1)
& aInteger0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X1] :
( aInteger0(X1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X1) )
=> ( aInteger0(sK2)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& sdteqdtlpzmzozddtrp0(xb,xc,xq)
& ? [X1] :
( aInteger0(X1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X1) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
( ? [X1] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X1)
& aInteger0(X1) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& sdteqdtlpzmzozddtrp0(xb,xc,xq)
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) )
& sdteqdtlpzmzozddtrp0(xb,xc,xq)
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).
fof(f141,plain,
~ aInteger0(sK1),
inference(trivial_inequality_removal,[],[f140]) ).
fof(f140,plain,
( ~ aInteger0(sK1)
| sF5 != sF5 ),
inference(superposition,[],[f132,f137]) ).
fof(f137,plain,
sF5 = sF3(sK1),
inference(forward_demodulation,[],[f136,f131]) ).
fof(f131,plain,
sF5 = sdtpldt0(xa,sF4),
introduced(function_definition,[]) ).
fof(f136,plain,
sdtpldt0(xa,sF4) = sF3(sK1),
inference(forward_demodulation,[],[f135,f130]) ).
fof(f130,plain,
smndt0(xb) = sF4,
introduced(function_definition,[]) ).
fof(f135,plain,
sdtpldt0(xa,smndt0(xb)) = sF3(sK1),
inference(forward_demodulation,[],[f119,f129]) ).
fof(f129,plain,
! [X0] : sdtasdt0(xq,X0) = sF3(X0),
introduced(function_definition,[]) ).
fof(f119,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f132,plain,
! [X0] :
( sF5 != sF3(X0)
| ~ aInteger0(X0) ),
inference(definition_folding,[],[f89,f131,f130,f129]) ).
fof(f89,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM429+3 : 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
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 06:33:49 EDT 2022
% 0.13/0.34 % CPUTime :
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% 0.36/0.66 % (10953)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.36/0.66 % (10978)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 (2998ds/68Mi)
% 0.36/0.66 % (10957)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 (2998ds/48Mi)
% 0.36/0.67 % (10969)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 0.36/0.67 % (10955)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.36/0.67 % (10962)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.36/0.67 % (10961)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 (2998ds/51Mi)
% 0.36/0.67 % (10977)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 0.36/0.67 % (10970)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.36/0.67 % (10977)First to succeed.
% 0.36/0.68 % (10954)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 (2998ds/37Mi)
% 0.36/0.68 TRYING [1]
% 0.36/0.68 % (10977)Refutation found. Thanks to Tanya!
% 0.36/0.68 % SZS status Theorem for theBenchmark
% 0.36/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.68 % (10977)------------------------------
% 0.36/0.68 % (10977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.36/0.68 % (10977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.36/0.68 % (10977)Termination reason: Refutation
% 0.36/0.68
% 0.36/0.68 % (10977)Memory used [KB]: 5500
% 0.36/0.68 % (10977)Time elapsed: 0.109 s
% 0.36/0.68 % (10977)Instructions burned: 4 (million)
% 0.36/0.68 % (10977)------------------------------
% 0.36/0.68 % (10977)------------------------------
% 0.36/0.68 % (10746)Success in time 0.332 s
%------------------------------------------------------------------------------