TSTP Solution File: RNG115+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG115+4 : 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 : n029.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 18:15:54 EDT 2022
% Result : Theorem 1.69s 0.62s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 120 ( 44 equ)
% Maximal formula atoms : 11 ( 6 avg)
% Number of connectives : 155 ( 55 ~; 37 |; 60 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 52 ( 24 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f465,plain,
$false,
inference(subsumption_resolution,[],[f464,f333]) ).
fof(f333,plain,
aElementOf0(sK22,slsdtgt0(xa)),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( sz00 != xu
& aElementOf0(xu,xI)
& ! [X0] :
( ( ! [X1,X2] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| sdtpldt0(X2,X1) != X0
| ~ aElementOf0(X1,slsdtgt0(xb)) )
& ~ aElementOf0(X0,xI) )
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0 )
& xu = sdtpldt0(sK22,sK23)
& aElementOf0(sK22,slsdtgt0(xa))
& aElementOf0(sK23,slsdtgt0(xb)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f189,f190]) ).
fof(f190,plain,
( ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb)) )
=> ( xu = sdtpldt0(sK22,sK23)
& aElementOf0(sK22,slsdtgt0(xa))
& aElementOf0(sK23,slsdtgt0(xb)) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
( sz00 != xu
& aElementOf0(xu,xI)
& ! [X0] :
( ( ! [X1,X2] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| sdtpldt0(X2,X1) != X0
| ~ aElementOf0(X1,slsdtgt0(xb)) )
& ~ aElementOf0(X0,xI) )
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0 )
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb)) ) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
( sz00 != xu
& aElementOf0(xu,xI)
& ! [X0] :
( ( ! [X2,X1] :
( ~ aElementOf0(X1,slsdtgt0(xa))
| sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb)) )
& ~ aElementOf0(X0,xI) )
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0 )
& ? [X4,X3] :
( xu = sdtpldt0(X4,X3)
& aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb)) ) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ! [X2,X1] :
( ~ aElementOf0(X1,slsdtgt0(xa))
| sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb)) )
& ~ aElementOf0(X0,xI) ) )
& aElementOf0(xu,xI)
& sz00 != xu
& ? [X4,X3] :
( xu = sdtpldt0(X4,X3)
& aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb)) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X2,X1] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& aElementOf0(xu,xI)
& sz00 != xu
& ? [X4,X3] :
( xu = sdtpldt0(X4,X3)
& aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X2,X1] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& aElementOf0(xu,xI)
& sz00 != xu
& ? [X1,X0] :
( aElementOf0(X0,slsdtgt0(xa))
& sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f464,plain,
~ aElementOf0(sK22,slsdtgt0(xa)),
inference(subsumption_resolution,[],[f463,f332]) ).
fof(f332,plain,
aElementOf0(sK23,slsdtgt0(xb)),
inference(cnf_transformation,[],[f191]) ).
fof(f463,plain,
( ~ aElementOf0(sK23,slsdtgt0(xb))
| ~ aElementOf0(sK22,slsdtgt0(xa)) ),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f462,plain,
( ~ aElementOf0(sK22,slsdtgt0(xa))
| ~ aElementOf0(sK23,slsdtgt0(xb))
| xu != xu ),
inference(superposition,[],[f285,f334]) ).
fof(f334,plain,
xu = sdtpldt0(sK22,sK23),
inference(cnf_transformation,[],[f191]) ).
fof(f285,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X0,slsdtgt0(xa))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( ! [X2] :
( sdtasdt0(xb,X2) != X1
| ~ aElement0(X2) )
& ~ aElementOf0(X1,slsdtgt0(xb)) )
| ( ! [X3] :
( sdtasdt0(xa,X3) != X0
| ~ aElement0(X3) )
& ~ aElementOf0(X0,slsdtgt0(xa)) )
| sdtpldt0(X0,X1) != xu ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( ! [X3] :
( sdtasdt0(xb,X3) != X1
| ~ aElement0(X3) )
& ~ aElementOf0(X1,slsdtgt0(xb)) )
| ( ! [X2] :
( sdtasdt0(xa,X2) != X0
| ~ aElement0(X2) )
& ~ aElementOf0(X0,slsdtgt0(xa)) )
| sdtpldt0(X0,X1) != xu ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ? [X1,X0] :
( sdtpldt0(X0,X1) = xu
& ( aElementOf0(X1,slsdtgt0(xb))
| ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X1 ) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X0 ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,negated_conjecture,
~ ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X0 ) )
& ( ? [X2] :
( aElement0(X2)
& sdtasdt0(xb,X2) = X1 )
| aElementOf0(X1,slsdtgt0(xb)) ) ),
inference(negated_conjecture,[],[f47]) ).
fof(f47,conjecture,
? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X0 ) )
& ( ? [X2] :
( aElement0(X2)
& sdtasdt0(xb,X2) = X1 )
| aElementOf0(X1,slsdtgt0(xb)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : RNG115+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % 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 : n029.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 12:22:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.58 % (28119)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)
% 0.20/0.58 % (28136)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)
% 0.20/0.59 % (28128)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)
% 0.20/0.59 % (28135)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)
% 0.20/0.59 % (28127)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)
% 0.20/0.60 % (28120)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.69/0.61 % (28120)Instruction limit reached!
% 1.69/0.61 % (28120)------------------------------
% 1.69/0.61 % (28120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (28120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (28120)Termination reason: Unknown
% 1.69/0.61 % (28120)Termination phase: Property scanning
% 1.69/0.61
% 1.69/0.61 % (28120)Memory used [KB]: 1151
% 1.69/0.61 % (28120)Time elapsed: 0.011 s
% 1.69/0.61 % (28120)Instructions burned: 7 (million)
% 1.69/0.61 % (28120)------------------------------
% 1.69/0.61 % (28120)------------------------------
% 1.69/0.61 % (28136)First to succeed.
% 1.69/0.61 % (28128)Also succeeded, but the first one will report.
% 1.69/0.62 TRYING [1]
% 1.69/0.62 % (28136)Refutation found. Thanks to Tanya!
% 1.69/0.62 % SZS status Theorem for theBenchmark
% 1.69/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.62 % (28136)------------------------------
% 1.69/0.62 % (28136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.62 % (28136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.62 % (28136)Termination reason: Refutation
% 1.69/0.62
% 1.69/0.62 % (28136)Memory used [KB]: 5884
% 1.69/0.62 % (28136)Time elapsed: 0.112 s
% 1.69/0.62 % (28136)Instructions burned: 13 (million)
% 1.69/0.62 % (28136)------------------------------
% 1.69/0.62 % (28136)------------------------------
% 1.69/0.62 % (28112)Success in time 0.257 s
%------------------------------------------------------------------------------