TSTP Solution File: NUM491+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM491+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 17:59:59 EDT 2022
% Result : Theorem 1.56s 0.58s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 103 ( 19 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 116 ( 47 ~; 42 |; 18 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f363,plain,
$false,
inference(subsumption_resolution,[],[f362,f358]) ).
fof(f358,plain,
aNaturalNumber0(sdtasdt0(xm,xp)),
inference(forward_demodulation,[],[f320,f302]) ).
fof(f302,plain,
sdtasdt0(xp,xm) = sdtasdt0(xm,xp),
inference(unit_resulting_resolution,[],[f192,f193,f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X1,X0] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f193,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xp)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f192,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f320,plain,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(unit_resulting_resolution,[],[f192,f193,f202]) ).
fof(f202,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f362,plain,
~ aNaturalNumber0(sdtasdt0(xm,xp)),
inference(forward_demodulation,[],[f324,f302]) ).
fof(f324,plain,
~ aNaturalNumber0(sdtasdt0(xp,xm)),
inference(unit_resulting_resolution,[],[f192,f171,f193,f223]) ).
fof(f223,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X3)) ),
inference(equality_resolution,[],[f188]) ).
fof(f188,plain,
! [X3,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f136,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
=> ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) ) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) ) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> doDivides0(X0,X1) ) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> doDivides0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> doDivides0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f171,plain,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(flattening,[],[f49]) ).
fof(f49,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
doDivides0(xp,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM491+1 : 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_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 06:40:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.38/0.54 % (18780)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)
% 1.38/0.54 % (18788)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)
% 1.38/0.55 % (18778)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)
% 1.56/0.55 % (18796)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)
% 1.56/0.56 % (18799)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)
% 1.56/0.56 % (18775)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)
% 1.56/0.56 % (18783)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)
% 1.56/0.56 % (18786)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)
% 1.56/0.56 % (18783)Instruction limit reached!
% 1.56/0.56 % (18783)------------------------------
% 1.56/0.56 % (18783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (18786)Instruction limit reached!
% 1.56/0.56 % (18786)------------------------------
% 1.56/0.56 % (18786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (18786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (18786)Termination reason: Unknown
% 1.56/0.56 % (18786)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (18786)Memory used [KB]: 6012
% 1.56/0.56 % (18786)Time elapsed: 0.004 s
% 1.56/0.56 % (18786)Instructions burned: 5 (million)
% 1.56/0.56 % (18786)------------------------------
% 1.56/0.56 % (18786)------------------------------
% 1.56/0.56 % (18783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (18783)Termination reason: Unknown
% 1.56/0.57 % (18783)Termination phase: Saturation
% 1.56/0.57
% 1.56/0.57 % (18783)Memory used [KB]: 6012
% 1.56/0.57 % (18783)Time elapsed: 0.006 s
% 1.56/0.57 % (18783)Instructions burned: 7 (million)
% 1.56/0.57 % (18783)------------------------------
% 1.56/0.57 % (18783)------------------------------
% 1.56/0.57 % (18793)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)
% 1.56/0.57 % (18784)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.56/0.57 % (18775)First to succeed.
% 1.56/0.57 % (18794)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.56/0.57 % (18774)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)
% 1.56/0.57 % (18789)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.56/0.57 % (18801)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)
% 1.56/0.57 % (18800)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.56/0.57 % (18795)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)
% 1.56/0.57 % (18779)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.56/0.58 % (18791)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)
% 1.56/0.58 % (18781)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.56/0.58 % (18772)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.56/0.58 % (18776)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)
% 1.56/0.58 % (18785)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)
% 1.56/0.58 % (18775)Refutation found. Thanks to Tanya!
% 1.56/0.58 % SZS status Theorem for theBenchmark
% 1.56/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.58 % (18775)------------------------------
% 1.56/0.58 % (18775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58 % (18775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.58 % (18775)Termination reason: Refutation
% 1.56/0.58
% 1.56/0.58 % (18775)Memory used [KB]: 6268
% 1.56/0.58 % (18775)Time elapsed: 0.154 s
% 1.56/0.58 % (18775)Instructions burned: 13 (million)
% 1.56/0.58 % (18775)------------------------------
% 1.56/0.58 % (18775)------------------------------
% 1.56/0.58 % (18771)Success in time 0.231 s
%------------------------------------------------------------------------------