TSTP Solution File: NUM436+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM436+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 : n014.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 18:05:06 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 63 ( 18 unt; 0 def)
% Number of atoms : 163 ( 37 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 180 ( 80 ~; 70 |; 22 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f529,plain,
$false,
inference(avatar_sat_refutation,[],[f177,f475,f485,f487,f489,f516,f528]) ).
fof(f528,plain,
( ~ spl6_1
| ~ spl6_17 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl6_1
| ~ spl6_17 ),
inference(resolution,[],[f526,f124]) ).
fof(f124,plain,
aInteger0(xm),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),xm)
& aInteger0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1032) ).
fof(f526,plain,
( ~ aInteger0(xm)
| ~ spl6_1
| ~ spl6_17 ),
inference(resolution,[],[f520,f474]) ).
fof(f474,plain,
( ! [X0] :
( aInteger0(sF4(X0))
| ~ aInteger0(X0) )
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl6_17
<=> ! [X0] :
( ~ aInteger0(X0)
| aInteger0(sF4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f520,plain,
( ~ aInteger0(sF4(xm))
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f519]) ).
fof(f519,plain,
( sF3 != sF3
| ~ aInteger0(sF4(xm))
| ~ spl6_1 ),
inference(superposition,[],[f143,f307]) ).
fof(f307,plain,
sF5(sF4(xm)) = sF3,
inference(forward_demodulation,[],[f305,f130]) ).
fof(f130,plain,
sdtpldt0(xa,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f305,plain,
sdtpldt0(xa,sF2) = sF5(sF4(xm)),
inference(superposition,[],[f150,f137]) ).
fof(f137,plain,
! [X0] : sdtasdt0(xq,X0) = sF5(X0),
introduced(function_definition,[]) ).
fof(f150,plain,
sdtasdt0(xq,sF4(xm)) = sdtpldt0(xa,sF2),
inference(forward_demodulation,[],[f149,f129]) ).
fof(f129,plain,
smndt0(xb) = sF2,
introduced(function_definition,[]) ).
fof(f149,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sF4(xm)),
inference(forward_demodulation,[],[f119,f134]) ).
fof(f134,plain,
! [X1] : sF4(X1) = sdtasdt0(xp,X1),
introduced(function_definition,[]) ).
fof(f119,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,sdtasdt0(xq,xm))
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1071) ).
fof(f143,plain,
( ! [X0] :
( sF3 != sF5(X0)
| ~ aInteger0(X0) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl6_1
<=> ! [X0] :
( sF3 != sF5(X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f516,plain,
( ~ spl6_6
| ~ spl6_19 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f515,plain,
( $false
| ~ spl6_6
| ~ spl6_19 ),
inference(resolution,[],[f503,f124]) ).
fof(f503,plain,
( ~ aInteger0(xm)
| ~ spl6_6
| ~ spl6_19 ),
inference(resolution,[],[f484,f313]) ).
fof(f313,plain,
( ~ aInteger0(sF5(xm))
| ~ spl6_6 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f312,plain,
( ~ aInteger0(sF5(xm))
| sF3 != sF3
| ~ spl6_6 ),
inference(forward_demodulation,[],[f311,f130]) ).
fof(f311,plain,
( sdtpldt0(xa,sF2) != sF3
| ~ aInteger0(sF5(xm))
| ~ spl6_6 ),
inference(forward_demodulation,[],[f310,f137]) ).
fof(f310,plain,
( ~ aInteger0(sdtasdt0(xq,xm))
| sdtpldt0(xa,sF2) != sF3
| ~ spl6_6 ),
inference(superposition,[],[f176,f169]) ).
fof(f169,plain,
sF4(sdtasdt0(xq,xm)) = sdtpldt0(xa,sF2),
inference(forward_demodulation,[],[f168,f129]) ).
fof(f168,plain,
sdtpldt0(xa,smndt0(xb)) = sF4(sdtasdt0(xq,xm)),
inference(forward_demodulation,[],[f120,f134]) ).
fof(f120,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(cnf_transformation,[],[f26]) ).
fof(f176,plain,
( ! [X1] :
( sF4(X1) != sF3
| ~ aInteger0(X1) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl6_6
<=> ! [X1] :
( ~ aInteger0(X1)
| sF4(X1) != sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f484,plain,
( ! [X1] :
( aInteger0(sF5(X1))
| ~ aInteger0(X1) )
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl6_19
<=> ! [X1] :
( aInteger0(sF5(X1))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f489,plain,
spl6_18,
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f488,plain,
( $false
| spl6_18 ),
inference(resolution,[],[f481,f95]) ).
fof(f95,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( sz00 != xq
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xp)
& aInteger0(xa)
& sz00 != xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__979) ).
fof(f481,plain,
( ~ aInteger0(xq)
| spl6_18 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f479,plain,
( spl6_18
<=> aInteger0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f487,plain,
spl6_16,
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f486,plain,
( $false
| spl6_16 ),
inference(resolution,[],[f471,f93]) ).
fof(f93,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f23]) ).
fof(f471,plain,
( ~ aInteger0(xp)
| spl6_16 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl6_16
<=> aInteger0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f485,plain,
( ~ spl6_18
| spl6_19 ),
inference(avatar_split_clause,[],[f450,f483,f479]) ).
fof(f450,plain,
! [X1] :
( aInteger0(sF5(X1))
| ~ aInteger0(X1)
| ~ aInteger0(xq) ),
inference(superposition,[],[f109,f137]) ).
fof(f109,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X1,X0))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtasdt0(X1,X0)) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X1,X0))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(f475,plain,
( ~ spl6_16
| spl6_17 ),
inference(avatar_split_clause,[],[f447,f473,f469]) ).
fof(f447,plain,
! [X0] :
( ~ aInteger0(X0)
| ~ aInteger0(xp)
| aInteger0(sF4(X0)) ),
inference(superposition,[],[f109,f134]) ).
fof(f177,plain,
( spl6_1
| spl6_6 ),
inference(avatar_split_clause,[],[f138,f175,f142]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sF3 != sF5(X0)
| sF4(X1) != sF3 ),
inference(definition_folding,[],[f84,f137,f130,f129,f134,f130,f129]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xp,X1)
| ~ aInteger0(X0)
| sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ! [X0] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,X0)
| ~ aInteger0(X0) ) )
| ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xp)
& ! [X1] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xp,X1)
| ~ aInteger0(X1) )
& ~ aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
~ ( ( ? [X1] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,X1)
& aInteger0(X1) )
| sdteqdtlpzmzozddtrp0(xa,xb,xp)
| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))) )
& ( aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ? [X0] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X0)
& aInteger0(X0) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ( ( aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ? [X0] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X0)
& aInteger0(X0) ) )
& ( aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| ? [X0] :
( aInteger0(X0)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,X0) )
| sdteqdtlpzmzozddtrp0(xa,xb,xp) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
( ( aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ? [X0] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X0)
& aInteger0(X0) ) )
& ( aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| ? [X0] :
( aInteger0(X0)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,X0) )
| sdteqdtlpzmzozddtrp0(xa,xb,xp) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM436+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 06:33:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (27825)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50 % (27816)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (27840)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)
% 0.20/0.50 % (27835)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)
% 0.20/0.50 % (27832)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)
% 0.20/0.51 % (27824)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)
% 0.20/0.51 % (27826)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (27812)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)
% 0.20/0.53 % (27817)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)
% 0.20/0.53 % (27838)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (27820)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (27820)Instruction limit reached!
% 0.20/0.53 % (27820)------------------------------
% 0.20/0.53 % (27820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (27820)Termination reason: Unknown
% 0.20/0.53 % (27820)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (27820)Memory used [KB]: 895
% 0.20/0.53 % (27820)Time elapsed: 0.002 s
% 0.20/0.53 % (27820)Instructions burned: 2 (million)
% 0.20/0.53 % (27820)------------------------------
% 0.20/0.53 % (27820)------------------------------
% 0.20/0.53 % (27814)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)
% 0.20/0.53 % (27824)First to succeed.
% 0.20/0.53 % (27813)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)
% 0.20/0.53 % (27818)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)
% 0.20/0.53 % (27821)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (27831)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (27829)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)
% 0.20/0.53 % (27837)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.54 % (27830)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (27841)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (27827)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)
% 0.20/0.54 % (27815)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)
% 0.20/0.54 % (27824)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (27824)------------------------------
% 0.20/0.54 % (27824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (27824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (27824)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (27824)Memory used [KB]: 5756
% 0.20/0.54 % (27824)Time elapsed: 0.123 s
% 0.20/0.54 % (27824)Instructions burned: 15 (million)
% 0.20/0.54 % (27824)------------------------------
% 0.20/0.54 % (27824)------------------------------
% 0.20/0.54 % (27810)Success in time 0.183 s
%------------------------------------------------------------------------------