TSTP Solution File: RNG050+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n020.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 18:15:32 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 10 unt; 0 def)
% Number of atoms : 96 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 96 ( 42 ~; 39 |; 3 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f636,plain,
$false,
inference(avatar_sat_refutation,[],[f195,f273,f290,f407,f591,f633]) ).
fof(f633,plain,
( ~ spl2_15
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f592,f588,f348]) ).
fof(f348,plain,
( spl2_15
<=> sdtlseqdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f588,plain,
( spl2_23
<=> sz0z00 = sdtasasdt0(xs,xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
fof(f592,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ spl2_23 ),
inference(backward_demodulation,[],[f153,f590]) ).
fof(f590,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f153,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f67]) ).
fof(f67,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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f591,plain,
( spl2_23
| ~ spl2_7
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f586,f192,f258,f588]) ).
fof(f258,plain,
( spl2_7
<=> aVector0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f192,plain,
( spl2_2
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f586,plain,
( ~ aVector0(xs)
| sz0z00 = sdtasasdt0(xs,xs)
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f585]) ).
fof(f585,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| sz00 != sz00
| ~ aVector0(xs)
| ~ spl2_2 ),
inference(superposition,[],[f328,f194]) ).
fof(f194,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f328,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| sz0z00 = sdtasasdt0(X0,X0) ),
inference(duplicate_literal_removal,[],[f327]) ).
fof(f327,plain,
! [X0] :
( ~ aVector0(X0)
| ~ aVector0(X0)
| sz0z00 = sdtasasdt0(X0,X0)
| sz00 != aDimensionOf0(X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1)
| sz00 != aDimensionOf0(X1) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 = aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f407,plain,
spl2_15,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| spl2_15 ),
inference(resolution,[],[f350,f215]) ).
fof(f215,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(resolution,[],[f151,f180]) ).
fof(f180,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f151,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f350,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl2_15 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f290,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f289,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f190,f153]) ).
fof(f190,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl2_1
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f273,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| spl2_7 ),
inference(resolution,[],[f260,f139]) ).
fof(f139,plain,
aVector0(xs),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
aVector0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).
fof(f260,plain,
( ~ aVector0(xs)
| spl2_7 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f195,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f152,f192,f188]) ).
fof(f152,plain,
( sz00 = aDimensionOf0(xs)
| sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(cnf_transformation,[],[f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG050+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % 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 : n020.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 12:00:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.45 % (28673)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.48 % (28664)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)
% 0.21/0.49 TRYING [1]
% 0.21/0.50 % (28687)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.50 TRYING [2]
% 0.21/0.50 % (28678)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.50 TRYING [3]
% 0.21/0.52 % (28659)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)
% 0.21/0.53 % (28670)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (28664)Instruction limit reached!
% 0.21/0.53 % (28664)------------------------------
% 0.21/0.53 % (28664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (28662)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (28681)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54 % (28687)First to succeed.
% 0.21/0.54 % (28661)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)
% 0.21/0.54 % (28672)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)
% 0.21/0.54 % (28658)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)
% 0.21/0.54 % (28660)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)
% 0.21/0.54 % (28669)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)
% 0.21/0.54 % (28665)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (28666)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (28675)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (28677)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)
% 0.21/0.55 % (28664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (28664)Termination reason: Unknown
% 0.21/0.55 % (28664)Termination phase: Finite model building constraint generation
% 0.21/0.55
% 0.21/0.55 % (28664)Memory used [KB]: 8315
% 0.21/0.55 % (28664)Time elapsed: 0.141 s
% 0.21/0.55 % (28664)Instructions burned: 51 (million)
% 0.21/0.55 % (28664)------------------------------
% 0.21/0.55 % (28664)------------------------------
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (28659)Also succeeded, but the first one will report.
% 0.21/0.55 % (28687)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (28687)------------------------------
% 0.21/0.55 % (28687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (28687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (28687)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (28687)Memory used [KB]: 5884
% 0.21/0.55 % (28687)Time elapsed: 0.148 s
% 0.21/0.55 % (28687)Instructions burned: 20 (million)
% 0.21/0.55 % (28687)------------------------------
% 0.21/0.55 % (28687)------------------------------
% 0.21/0.55 % (28657)Success in time 0.191 s
%------------------------------------------------------------------------------