TSTP Solution File: NUM504+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM504+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 : 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 18:05:30 EDT 2022
% Result : Unknown 1.40s 0.54s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% Number of atoms : 183 ( 61 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 201 ( 64 ~; 50 |; 75 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 51 ( 38 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,plain,
$false,
inference(unit_resulting_resolution,[],[f401,f408,f383,f373,f332,f266]) ).
fof(f266,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X1,X0] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X1,X0] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f332,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& aNaturalNumber0(sK15)
& sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK15)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK16)
& aNaturalNumber0(sK16)
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f56,f211,f210]) ).
fof(f210,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0) )
=> ( aNaturalNumber0(sK15)
& sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
( ? [X1] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X1)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK16)
& aNaturalNumber0(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0) )
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ? [X1] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X1)
& aNaturalNumber0(X1) )
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
( sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0) )
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X0) )
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2414) ).
fof(f373,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)),
inference(backward_demodulation,[],[f336,f350]) ).
fof(f350,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f336,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(cnf_transformation,[],[f212]) ).
fof(f383,plain,
sdtasdt0(xn,xm) != sdtasdt0(xp,xm),
inference(forward_demodulation,[],[f329,f350]) ).
fof(f329,plain,
sdtasdt0(xp,xk) != sdtasdt0(xp,xm),
inference(cnf_transformation,[],[f212]) ).
fof(f408,plain,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(subsumption_resolution,[],[f407,f401]) ).
fof(f407,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(subsumption_resolution,[],[f406,f330]) ).
fof(f330,plain,
aNaturalNumber0(sK16),
inference(cnf_transformation,[],[f212]) ).
fof(f406,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f355,f331]) ).
fof(f331,plain,
sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK16),
inference(cnf_transformation,[],[f212]) ).
fof(f355,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X1,X0] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f401,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(subsumption_resolution,[],[f400,f302]) ).
fof(f302,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f400,plain,
( ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(subsumption_resolution,[],[f398,f294]) ).
fof(f294,plain,
aNaturalNumber0(sK10),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm))
& sz10 != xp
& sz00 != xp
& aNaturalNumber0(sK10)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
& ! [X1] :
( ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| xp = X1
| ~ aNaturalNumber0(X1)
| sz10 = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f127,f196]) ).
fof(f196,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
=> ( aNaturalNumber0(sK10)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm))
& sz10 != xp
& sz00 != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& ! [X1] :
( ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| xp = X1
| ~ aNaturalNumber0(X1)
| sz10 = X1 ) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
( sz10 != xp
& doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& sz00 != xp
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& isPrime0(xp) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
( sz10 != xp
& doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& sz00 != xp
& ! [X1] :
( ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = xp )
| doDivides0(X1,xp) )
& aNaturalNumber0(X1) )
=> ( xp = X1
| sz10 = X1 ) )
& isPrime0(xp) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
( sz00 != xp
& sz10 != xp
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm))
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( sdtasdt0(X0,X1) = xp
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xp = X0
| sz10 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f398,plain,
( ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f354,f293]) ).
fof(f293,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK10),
inference(cnf_transformation,[],[f197]) ).
fof(f354,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM504+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 : n019.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 06:50:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (21555)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)
% 0.19/0.50 % (21567)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (21566)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (21565)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (21576)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)
% 0.19/0.51 % (21568)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 (2999ds/68Mi)
% 0.19/0.51 % (21561)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (21569)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)
% 1.28/0.51 % (21563)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)
% 1.28/0.52 % (21572)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.28/0.52 % (21564)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.52 % (21560)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)
% 1.28/0.52 % (21554)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)
% 1.28/0.52 % (21559)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)
% 1.28/0.52 % (21571)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.28/0.52 % (21556)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)
% 1.28/0.52 % (21558)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52 % (21557)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)
% 1.28/0.52 % (21561)Instruction limit reached!
% 1.28/0.52 % (21561)------------------------------
% 1.28/0.52 % (21561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (21577)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)
% 1.28/0.53 % (21561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (21561)Termination reason: Unknown
% 1.28/0.53 % (21561)Termination phase: Saturation
% 1.28/0.53
% 1.28/0.53 % (21561)Memory used [KB]: 5628
% 1.28/0.53 % (21561)Time elapsed: 0.007 s
% 1.28/0.53 % (21561)Instructions burned: 7 (million)
% 1.28/0.53 % (21561)------------------------------
% 1.28/0.53 % (21561)------------------------------
% 1.28/0.53 % (21570)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.53 TRYING [3]
% 1.40/0.53 % (21562)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.53 % (21555)First to succeed.
% 1.40/0.53 % (21562)Instruction limit reached!
% 1.40/0.53 % (21562)------------------------------
% 1.40/0.53 % (21562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (21562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (21562)Termination reason: Unknown
% 1.40/0.53 % (21562)Termination phase: Preprocessing 3
% 1.40/0.53
% 1.40/0.53 % (21562)Memory used [KB]: 1023
% 1.40/0.53 % (21562)Time elapsed: 0.003 s
% 1.40/0.53 % (21562)Instructions burned: 4 (million)
% 1.40/0.53 % (21562)------------------------------
% 1.40/0.53 % (21562)------------------------------
% 1.40/0.53 % (21555)Refutation found. Thanks to Tanya!
% 1.40/0.53 % SZS status ContradictoryAxioms for theBenchmark
% 1.40/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.54 % (21555)------------------------------
% 1.40/0.54 % (21555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (21555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (21555)Termination reason: Refutation
% 1.40/0.54
% 1.40/0.54 % (21555)Memory used [KB]: 5756
% 1.40/0.54 % (21555)Time elapsed: 0.136 s
% 1.40/0.54 % (21555)Instructions burned: 14 (million)
% 1.40/0.54 % (21555)------------------------------
% 1.40/0.54 % (21555)------------------------------
% 1.40/0.54 % (21553)Success in time 0.189 s
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