TSTP Solution File: NUM430+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM430+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_uns --cores 0 -t %d %s
% Computer : n021.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 17:59:29 EDT 2022
% Result : Theorem 1.49s 0.54s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 9 unt; 0 def)
% Number of atoms : 149 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 164 ( 67 ~; 63 |; 20 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 48 ( 44 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f276,plain,
$false,
inference(avatar_sat_refutation,[],[f203,f264,f275]) ).
fof(f275,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f273,f66]) ).
fof(f66,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
( aInteger0(xq)
& aInteger0(xc)
& aInteger0(xb)
& sz00 != xq
& aInteger0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f273,plain,
( ~ aInteger0(xb)
| spl2_2 ),
inference(subsumption_resolution,[],[f272,f106]) ).
fof(f106,plain,
~ sQ1_eqProxy(sz00,xq),
inference(equality_proxy_replacement,[],[f65,f103]) ).
fof(f103,plain,
! [X0,X1] :
( sQ1_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).
fof(f65,plain,
sz00 != xq,
inference(cnf_transformation,[],[f22]) ).
fof(f272,plain,
( sQ1_eqProxy(sz00,xq)
| ~ aInteger0(xb)
| spl2_2 ),
inference(subsumption_resolution,[],[f271,f68]) ).
fof(f68,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f22]) ).
fof(f271,plain,
( ~ aInteger0(xq)
| ~ aInteger0(xb)
| sQ1_eqProxy(sz00,xq)
| spl2_2 ),
inference(subsumption_resolution,[],[f270,f87]) ).
fof(f87,plain,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__853) ).
fof(f270,plain,
( ~ sdteqdtlpzmzozddtrp0(xb,xc,xq)
| sQ1_eqProxy(sz00,xq)
| ~ aInteger0(xq)
| ~ aInteger0(xb)
| spl2_2 ),
inference(subsumption_resolution,[],[f269,f67]) ).
fof(f67,plain,
aInteger0(xc),
inference(cnf_transformation,[],[f22]) ).
fof(f269,plain,
( ~ aInteger0(xc)
| ~ aInteger0(xq)
| ~ aInteger0(xb)
| ~ sdteqdtlpzmzozddtrp0(xb,xc,xq)
| sQ1_eqProxy(sz00,xq)
| spl2_2 ),
inference(resolution,[],[f202,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| sQ1_eqProxy(sz00,X0)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(equality_proxy_replacement,[],[f62,f103]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X0
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0)
| aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
| ~ aInteger0(X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( ~ aInteger0(X2)
| ( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
<=> sdteqdtlpzmzozddtrp0(X2,X1,X0) )
| sz00 = X0
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
<=> sdteqdtlpzmzozddtrp0(X2,X1,X0) )
| sz00 = X0
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ( sz00 != X0
& aInteger0(X1)
& aInteger0(X2)
& aInteger0(X0) )
=> ( aDivisorOf0(X0,sdtpldt0(X2,smndt0(X1)))
<=> sdteqdtlpzmzozddtrp0(X2,X1,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X2,X1,X0] :
( ( aInteger0(X1)
& sz00 != X2
& aInteger0(X2)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquMod) ).
fof(f202,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
| spl2_2 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl2_2
<=> aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f264,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f262,f67]) ).
fof(f262,plain,
( ~ aInteger0(xc)
| spl2_1 ),
inference(resolution,[],[f261,f97]) ).
fof(f97,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f261,plain,
( ~ aInteger0(smndt0(xc))
| spl2_1 ),
inference(subsumption_resolution,[],[f260,f66]) ).
fof(f260,plain,
( ~ aInteger0(smndt0(xc))
| ~ aInteger0(xb)
| spl2_1 ),
inference(resolution,[],[f198,f101]) ).
fof(f101,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
fof(f198,plain,
( ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| spl2_1 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl2_1
<=> aInteger0(sdtpldt0(xb,smndt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f203,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f194,f200,f196]) ).
fof(f194,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(sdtpldt0(xb,smndt0(xc))) ),
inference(subsumption_resolution,[],[f192,f72]) ).
fof(f72,plain,
! [X0,X1] :
( aInteger0(sK0(X0,X1))
| ~ aInteger0(X0)
| ~ aDivisorOf0(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( sz00 != X1
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& aInteger0(X1) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( sz00 != X1
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(X1,X2) = X0 )
& aInteger0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).
fof(f192,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(sK0(sdtpldt0(xb,smndt0(xc)),xq)) ),
inference(resolution,[],[f108,f112]) ).
fof(f112,plain,
! [X0] :
( ~ sQ1_eqProxy(sdtasdt0(xq,X0),sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f77,f103]) ).
fof(f77,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
? [X0] :
( aInteger0(X0)
& sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f108,plain,
! [X0,X1] :
( sQ1_eqProxy(sdtasdt0(X1,sK0(X0,X1)),X0)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f71,f103]) ).
fof(f71,plain,
! [X0,X1] :
( sdtasdt0(X1,sK0(X0,X1)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM430+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.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 06:27:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (19940)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (19946)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (19956)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (19954)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)
% 0.19/0.51 % (19958)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (19948)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (19954)Instruction limit reached!
% 0.19/0.51 % (19954)------------------------------
% 0.19/0.51 % (19954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19942)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (19957)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (19964)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (19945)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (19954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19954)Termination reason: Unknown
% 0.19/0.52 % (19954)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (19954)Memory used [KB]: 6012
% 0.19/0.52 % (19954)Time elapsed: 0.004 s
% 0.19/0.52 % (19943)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (19954)Instructions burned: 3 (million)
% 0.19/0.52 % (19954)------------------------------
% 0.19/0.52 % (19954)------------------------------
% 0.19/0.52 % (19958)Instruction limit reached!
% 0.19/0.52 % (19958)------------------------------
% 0.19/0.52 % (19958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19958)Termination reason: Unknown
% 0.19/0.52 % (19958)Termination phase: Preprocessing 1
% 0.19/0.52
% 0.19/0.52 % (19958)Memory used [KB]: 1407
% 0.19/0.52 % (19958)Time elapsed: 0.003 s
% 0.19/0.52 % (19958)Instructions burned: 2 (million)
% 0.19/0.52 % (19958)------------------------------
% 0.19/0.52 % (19958)------------------------------
% 0.19/0.52 % (19967)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (19966)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (19944)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)
% 0.19/0.52 % (19955)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)
% 0.19/0.52 % (19950)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (19953)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (19951)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (19942)Instruction limit reached!
% 0.19/0.53 % (19942)------------------------------
% 0.19/0.53 % (19942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19963)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)
% 0.19/0.53 % (19942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19942)Termination reason: Unknown
% 0.19/0.53 % (19942)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19942)Memory used [KB]: 1407
% 0.19/0.53 % (19942)Time elapsed: 0.004 s
% 0.19/0.53 % (19942)Instructions burned: 3 (million)
% 0.19/0.53 % (19942)------------------------------
% 0.19/0.53 % (19942)------------------------------
% 0.19/0.53 % (19960)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)
% 0.19/0.53 % (19961)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (19969)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54 % (19960)First to succeed.
% 0.19/0.54 % (19959)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54 % (19965)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.49/0.54 % (19950)Also succeeded, but the first one will report.
% 1.49/0.54 % (19941)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)
% 1.49/0.54 % (19960)Refutation found. Thanks to Tanya!
% 1.49/0.54 % SZS status Theorem for theBenchmark
% 1.49/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.54 % (19960)------------------------------
% 1.49/0.54 % (19960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54 % (19960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54 % (19960)Termination reason: Refutation
% 1.49/0.54
% 1.49/0.54 % (19960)Memory used [KB]: 6012
% 1.49/0.54 % (19960)Time elapsed: 0.141 s
% 1.49/0.54 % (19960)Instructions burned: 7 (million)
% 1.49/0.54 % (19960)------------------------------
% 1.49/0.54 % (19960)------------------------------
% 1.49/0.54 % (19939)Success in time 0.192 s
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