TSTP Solution File: NUM477+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM477+2 : 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 : n025.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 17:59:52 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 71 ( 28 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 24 ~; 21 |; 16 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f271,plain,
$false,
inference(subsumption_resolution,[],[f270,f130]) ).
fof(f130,plain,
sz00 != xn,
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( xn = sdtasdt0(xm,sK0)
& aNaturalNumber0(sK0)
& sz00 != xn
& doDivides0(xm,xn) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f36,f101]) ).
fof(f101,plain,
( ? [X0] :
( xn = sdtasdt0(xm,X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtasdt0(xm,sK0)
& aNaturalNumber0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
( ? [X0] :
( xn = sdtasdt0(xm,X0)
& aNaturalNumber0(X0) )
& sz00 != xn
& doDivides0(xm,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1494_04) ).
fof(f270,plain,
sz00 = xn,
inference(subsumption_resolution,[],[f265,f156]) ).
fof(f156,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1494) ).
fof(f265,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xn ),
inference(superposition,[],[f161,f260]) ).
fof(f260,plain,
xn = sdtasdt0(xm,sz00),
inference(backward_demodulation,[],[f132,f259]) ).
fof(f259,plain,
sz00 = sK0,
inference(subsumption_resolution,[],[f258,f156]) ).
fof(f258,plain,
( ~ aNaturalNumber0(xm)
| sz00 = sK0 ),
inference(subsumption_resolution,[],[f257,f131]) ).
fof(f131,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f257,plain,
( ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| sz00 = sK0 ),
inference(subsumption_resolution,[],[f249,f127]) ).
fof(f127,plain,
~ sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ! [X0] :
( xn != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) )
& ~ sdtlseqdt0(xm,xn) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtpldt0(xm,X0) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
( sdtlseqdt0(xm,xn)
| ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtpldt0(xm,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f249,plain,
( sz00 = sK0
| sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f126,f132]) ).
fof(f126,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,sdtasdt0(X0,X1)) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sz00 != X1
=> sdtlseqdt0(X0,sdtasdt0(X0,X1)) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f132,plain,
xn = sdtasdt0(xm,sK0),
inference(cnf_transformation,[],[f102]) ).
fof(f161,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM477+2 : 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 : n025.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 06:48:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (15238)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)
% 0.20/0.50 % (15239)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)
% 0.20/0.50 % (15255)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)
% 0.20/0.51 % (15247)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)
% 0.20/0.51 % (15248)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)
% 0.20/0.51 % (15239)First to succeed.
% 0.20/0.52 % (15258)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)
% 0.20/0.52 % (15256)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)
% 0.20/0.52 % (15237)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)
% 0.20/0.52 % (15242)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)
% 0.20/0.52 % (15237)Instruction limit reached!
% 0.20/0.52 % (15237)------------------------------
% 0.20/0.52 % (15237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15254)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)
% 0.20/0.53 % (15255)Also succeeded, but the first one will report.
% 0.20/0.53 % (15250)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (15239)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (15239)------------------------------
% 0.20/0.53 % (15239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15239)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (15239)Memory used [KB]: 6012
% 0.20/0.53 % (15239)Time elapsed: 0.103 s
% 0.20/0.53 % (15239)Instructions burned: 7 (million)
% 0.20/0.53 % (15239)------------------------------
% 0.20/0.53 % (15239)------------------------------
% 0.20/0.53 % (15232)Success in time 0.173 s
%------------------------------------------------------------------------------