TSTP Solution File: RNG050+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG050+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 : n010.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 18:14:35 EDT 2022
% Result : Theorem 1.80s 0.63s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 86 ( 31 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 38 ~; 40 |; 7 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f299,plain,
$false,
inference(unit_resulting_resolution,[],[f141,f141,f297,f297,f187]) ).
fof(f187,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X1,X0] :
( sdtlseqdt0(X0,X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X1,X0] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f297,plain,
~ sdtlseqdt0(sz0z00,sz0z00),
inference(backward_demodulation,[],[f183,f290]) ).
fof(f290,plain,
sz0z00 = sdtasasdt0(xs,xs),
inference(subsumption_resolution,[],[f289,f167]) ).
fof(f167,plain,
aVector0(xs),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
aVector0(xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1542) ).
fof(f289,plain,
( ~ aVector0(xs)
| sz0z00 = sdtasasdt0(xs,xs) ),
inference(trivial_inequality_removal,[],[f288]) ).
fof(f288,plain,
( ~ aVector0(xs)
| sz0z00 = sdtasasdt0(xs,xs)
| sz00 != sz00 ),
inference(superposition,[],[f212,f196]) ).
fof(f196,plain,
sz00 = aDimensionOf0(xs),
inference(subsumption_resolution,[],[f184,f183]) ).
fof(f184,plain,
( sz00 = aDimensionOf0(xs)
| sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 = aDimensionOf0(xs) )
& ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ( ( sz00 != aDimensionOf0(xs)
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
( ( sz00 != aDimensionOf0(xs)
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f212,plain,
! [X6] :
( sz00 != aDimensionOf0(X6)
| sz0z00 = sdtasasdt0(X6,xs)
| ~ aVector0(X6) ),
inference(subsumption_resolution,[],[f208,f167]) ).
fof(f208,plain,
! [X6] :
( sz00 != aDimensionOf0(X6)
| ~ aVector0(xs)
| sz0z00 = sdtasasdt0(X6,xs)
| ~ aVector0(X6) ),
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,plain,
! [X6] :
( ~ aVector0(X6)
| sz00 != sz00
| sz0z00 = sdtasasdt0(X6,xs)
| ~ aVector0(xs)
| sz00 != aDimensionOf0(X6) ),
inference(superposition,[],[f185,f196]) ).
fof(f185,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1)
| sz0z00 = sdtasasdt0(X1,X0)
| sz00 != aDimensionOf0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X1,X0)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( sz0z00 = sdtasasdt0(X1,X0)
| sz00 != aDimensionOf0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( ( sz00 = aDimensionOf0(X0)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X1,X0) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& sz00 = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f183,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f93]) ).
fof(f141,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG050+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
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 11:50:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.52/0.57 % (1917)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)
% 1.52/0.58 % (1933)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)
% 1.52/0.59 % (1925)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)
% 1.52/0.59 % (1918)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)
% 1.52/0.59 % (1925)Instruction limit reached!
% 1.52/0.59 % (1925)------------------------------
% 1.52/0.59 % (1925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (1934)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)
% 1.80/0.60 % (1925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (1925)Termination reason: Unknown
% 1.80/0.60 % (1925)Termination phase: Saturation
% 1.80/0.60
% 1.80/0.60 % (1925)Memory used [KB]: 1535
% 1.80/0.60 % (1925)Time elapsed: 0.005 s
% 1.80/0.60 % (1925)Instructions burned: 3 (million)
% 1.80/0.60 % (1925)------------------------------
% 1.80/0.60 % (1925)------------------------------
% 1.80/0.60 % (1926)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)
% 1.80/0.61 % (1926)Instruction limit reached!
% 1.80/0.61 % (1926)------------------------------
% 1.80/0.61 % (1926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (1934)First to succeed.
% 1.80/0.62 % (1926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (1926)Termination reason: Unknown
% 1.80/0.62 % (1926)Termination phase: Saturation
% 1.80/0.62
% 1.80/0.62 % (1926)Memory used [KB]: 6140
% 1.80/0.62 % (1926)Time elapsed: 0.181 s
% 1.80/0.62 % (1926)Instructions burned: 7 (million)
% 1.80/0.62 % (1926)------------------------------
% 1.80/0.62 % (1926)------------------------------
% 1.80/0.62 % (1913)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)
% 1.80/0.62 % (1911)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.80/0.62 % (1914)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)
% 1.80/0.63 % (1934)Refutation found. Thanks to Tanya!
% 1.80/0.63 % SZS status Theorem for theBenchmark
% 1.80/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.63 % (1934)------------------------------
% 1.80/0.63 % (1934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (1934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (1934)Termination reason: Refutation
% 1.80/0.63
% 1.80/0.63 % (1934)Memory used [KB]: 1663
% 1.80/0.63 % (1934)Time elapsed: 0.191 s
% 1.80/0.63 % (1934)Instructions burned: 9 (million)
% 1.80/0.63 % (1934)------------------------------
% 1.80/0.63 % (1934)------------------------------
% 1.80/0.63 % (1910)Success in time 0.27 s
%------------------------------------------------------------------------------