TSTP Solution File: RNG089+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG089+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_sat --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 18:15:46 EDT 2022
% Result : Theorem 1.83s 0.61s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 155 ( 15 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 152 ( 34 ~; 30 |; 72 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 44 ( 28 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f483,plain,
$false,
inference(avatar_sat_refutation,[],[f205,f462,f481]) ).
fof(f481,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f480,plain,
( $false
| spl16_1 ),
inference(subsumption_resolution,[],[f479,f149]) ).
fof(f149,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aElementOf0(xl,xJ)
& aElementOf0(xk,xI)
& xx = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
fof(f479,plain,
( ~ aElementOf0(xl,xJ)
| spl16_1 ),
inference(subsumption_resolution,[],[f478,f159]) ).
fof(f159,plain,
aElement0(xz),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( aElementOf0(sK6,xJ)
& xx = sdtpldt0(sK5,sK6)
& aElementOf0(sK5,xI)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElementOf0(sK7,xJ)
& xy = sdtpldt0(sK8,sK7)
& aElementOf0(sK8,xI)
& aElement0(xz) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f96,f98,f97]) ).
fof(f97,plain,
( ? [X0,X1] :
( aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx
& aElementOf0(X0,xI) )
=> ( aElementOf0(sK6,xJ)
& xx = sdtpldt0(sK5,sK6)
& aElementOf0(sK5,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X2,X3] :
( aElementOf0(X2,xJ)
& xy = sdtpldt0(X3,X2)
& aElementOf0(X3,xI) )
=> ( aElementOf0(sK7,xJ)
& xy = sdtpldt0(sK8,sK7)
& aElementOf0(sK8,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X0,X1] :
( aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( aElementOf0(X2,xJ)
& xy = sdtpldt0(X3,X2)
& aElementOf0(X3,xI) )
& aElement0(xz) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
( ? [X3,X2] :
( aElementOf0(X2,xJ)
& xx = sdtpldt0(X3,X2)
& aElementOf0(X3,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( aElementOf0(X0,xJ)
& sdtpldt0(X1,X0) = xy
& aElementOf0(X1,xI) )
& aElement0(xz) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( aElementOf0(xx,sdtpldt1(xI,xJ))
& aElement0(xz)
& ? [X1,X0] :
( aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xy
& aElementOf0(X0,xI) )
& ? [X1,X0] :
( aElementOf0(X0,xI)
& sdtpldt0(X0,X1) = xx
& aElementOf0(X1,xJ) )
& aElementOf0(xy,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).
fof(f478,plain,
( ~ aElement0(xz)
| ~ aElementOf0(xl,xJ)
| spl16_1 ),
inference(subsumption_resolution,[],[f466,f200]) ).
fof(f200,plain,
( ~ aElementOf0(sF14,xJ)
| spl16_1 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl16_1
<=> aElementOf0(sF14,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f466,plain,
( aElementOf0(sF14,xJ)
| ~ aElement0(xz)
| ~ aElementOf0(xl,xJ) ),
inference(superposition,[],[f117,f194]) ).
fof(f194,plain,
sdtasdt0(xz,xl) = sF14,
introduced(function_definition,[]) ).
fof(f117,plain,
! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),xJ)
| ~ aElement0(X2)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( ~ aElementOf0(X0,xJ)
| ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xJ)
| ~ aElementOf0(X1,xJ) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xJ)
| ~ aElement0(X2) ) ) )
& aIdeal0(xJ)
& ! [X3] :
( ( ! [X4] :
( ~ aElement0(X4)
| aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
( aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( ~ aElementOf0(X3,xJ)
| ( ! [X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ) )
& ! [X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5) ) ) )
& aIdeal0(xJ)
& ! [X0] :
( ( ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),xI) )
& ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) ) )
| ~ aElementOf0(X0,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
( aIdeal0(xI)
& aSet0(xI)
& aIdeal0(xJ)
& aSet0(xJ)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) ) ) )
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X4] :
( aElementOf0(X4,xJ)
=> aElementOf0(sdtpldt0(X3,X4),xJ) )
& ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xJ) ) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
( ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) ) ) )
& aIdeal0(xJ)
& aSet0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
fof(f462,plain,
spl16_2,
inference(avatar_split_clause,[],[f461,f202]) ).
fof(f202,plain,
( spl16_2
<=> aElementOf0(sF15,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f461,plain,
aElementOf0(sF15,xI),
inference(subsumption_resolution,[],[f460,f148]) ).
fof(f148,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f460,plain,
( ~ aElementOf0(xk,xI)
| aElementOf0(sF15,xI) ),
inference(subsumption_resolution,[],[f449,f159]) ).
fof(f449,plain,
( ~ aElement0(xz)
| aElementOf0(sF15,xI)
| ~ aElementOf0(xk,xI) ),
inference(superposition,[],[f115,f195]) ).
fof(f195,plain,
sdtasdt0(xz,xk) = sF15,
introduced(function_definition,[]) ).
fof(f115,plain,
! [X3,X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElementOf0(X3,xI)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f82]) ).
fof(f205,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f196,f202,f198]) ).
fof(f196,plain,
( ~ aElementOf0(sF15,xI)
| ~ aElementOf0(sF14,xJ) ),
inference(definition_folding,[],[f170,f195,f194]) ).
fof(f170,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ( aElementOf0(sdtasdt0(xz,xl),xJ)
& aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
( aElementOf0(sdtasdt0(xz,xl),xJ)
& aElementOf0(sdtasdt0(xz,xk),xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG089+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 12:01:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.55 % (26657)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (26673)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)
% 0.20/0.56 % (26665)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)
% 0.20/0.57 % (26657)Instruction limit reached!
% 0.20/0.57 % (26657)------------------------------
% 0.20/0.57 % (26657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57 % (26657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (26658)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.71/0.58 % (26658)Instruction limit reached!
% 1.71/0.58 % (26658)------------------------------
% 1.71/0.58 % (26658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (26658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (26658)Termination reason: Unknown
% 1.71/0.58 % (26658)Termination phase: Preprocessing 2
% 1.71/0.58
% 1.71/0.58 % (26658)Memory used [KB]: 895
% 1.71/0.58 % (26658)Time elapsed: 0.003 s
% 1.71/0.58 % (26658)Instructions burned: 2 (million)
% 1.71/0.58 % (26658)------------------------------
% 1.71/0.58 % (26658)------------------------------
% 1.71/0.58 % (26666)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.71/0.58 % (26674)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.71/0.58 % (26657)Termination reason: Unknown
% 1.71/0.58 % (26657)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (26657)Memory used [KB]: 5628
% 1.71/0.58 % (26657)Time elapsed: 0.144 s
% 1.71/0.58 % (26657)Instructions burned: 7 (million)
% 1.71/0.58 % (26657)------------------------------
% 1.71/0.58 % (26657)------------------------------
% 1.83/0.59 % (26650)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)
% 1.83/0.60 % (26652)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)
% 1.83/0.60 % (26655)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.83/0.61 % (26653)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)
% 1.83/0.61 % (26664)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)
% 1.83/0.61 % (26674)First to succeed.
% 1.83/0.61 % (26654)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.61 % (26651)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)
% 1.83/0.61 % (26672)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.83/0.61 % (26674)Refutation found. Thanks to Tanya!
% 1.83/0.61 % SZS status Theorem for theBenchmark
% 1.83/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.61 % (26674)------------------------------
% 1.83/0.61 % (26674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61 % (26674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61 % (26674)Termination reason: Refutation
% 1.83/0.61
% 1.83/0.61 % (26674)Memory used [KB]: 5756
% 1.83/0.61 % (26674)Time elapsed: 0.181 s
% 1.83/0.61 % (26674)Instructions burned: 15 (million)
% 1.83/0.61 % (26674)------------------------------
% 1.83/0.61 % (26674)------------------------------
% 1.83/0.61 % (26649)Success in time 0.26 s
%------------------------------------------------------------------------------