TSTP Solution File: RNG123+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG123+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 : n007.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 18:15:57 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 117 ( 3 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 140 ( 48 ~; 39 |; 41 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 51 ( 35 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f396,plain,
$false,
inference(unit_resulting_resolution,[],[f204,f244,f298,f250,f395]) ).
fof(f395,plain,
! [X2] :
( ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),X2)
| ~ aIdeal0(X2)
| aElementOf0(xr,X2)
| ~ aElementOf0(xb,X2) ),
inference(superposition,[],[f223,f270]) ).
fof(f270,plain,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2718) ).
fof(f223,plain,
! [X0,X4,X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( aElementOf0(sK10(X0),X0)
& ~ aElementOf0(sdtpldt0(sK9(X0),sK10(X0)),X0) )
| ( ~ aElementOf0(sdtasdt0(sK11(X0),sK9(X0)),X0)
& aElement0(sK11(X0)) ) )
& aElementOf0(sK9(X0),X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f146,f149,f148,f147]) ).
fof(f147,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) )
=> ( ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(sK9(X0),X2),X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,sK9(X0)),X0)
& aElement0(X3) ) )
& aElementOf0(sK9(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(sK9(X0),X2),X0) )
=> ( aElementOf0(sK10(X0),X0)
& ~ aElementOf0(sdtpldt0(sK9(X0),sK10(X0)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,sK9(X0)),X0)
& aElement0(X3) )
=> ( ~ aElementOf0(sdtasdt0(sK11(X0),sK9(X0)),X0)
& aElement0(sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X3] :
( aElementOf0(X3,X0)
& ~ aElementOf0(sdtpldt0(X1,X3),X0) )
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(sdtpldt0(X1,X3),X0) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X3] :
( aElementOf0(X3,X0)
& ~ aElementOf0(sdtpldt0(X1,X3),X0) )
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(sdtpldt0(X1,X3),X0) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(sdtpldt0(X1,X3),X0) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
& aSet0(X0) )
<=> aIdeal0(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) ) )
<=> aIdeal0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f250,plain,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2690) ).
fof(f298,plain,
~ aElementOf0(xr,xI),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
~ aElementOf0(xr,xI),
inference(flattening,[],[f56]) ).
fof(f56,negated_conjecture,
~ aElementOf0(xr,xI),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
aElementOf0(xr,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f244,plain,
aElementOf0(xb,xI),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
aElementOf0(xb,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2699) ).
fof(f204,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG123+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.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 12:00:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (27453)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)
% 0.20/0.48 % (27445)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)
% 0.20/0.49 % (27437)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (27431)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)
% 0.20/0.50 % (27437)Instruction limit reached!
% 0.20/0.50 % (27437)------------------------------
% 0.20/0.50 % (27437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (27437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (27437)Termination reason: Unknown
% 0.20/0.50 % (27437)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (27437)Memory used [KB]: 5628
% 0.20/0.50 % (27437)Time elapsed: 0.066 s
% 0.20/0.50 % (27437)Instructions burned: 8 (million)
% 0.20/0.50 % (27437)------------------------------
% 0.20/0.50 % (27437)------------------------------
% 0.20/0.51 % (27439)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (27431)First to succeed.
% 0.20/0.51 % (27451)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (27432)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)
% 0.20/0.52 % (27433)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)
% 0.20/0.52 % (27434)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (27431)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (27431)------------------------------
% 0.20/0.52 % (27431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (27431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (27431)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (27431)Memory used [KB]: 5756
% 0.20/0.52 % (27431)Time elapsed: 0.105 s
% 0.20/0.52 % (27431)Instructions burned: 11 (million)
% 0.20/0.52 % (27431)------------------------------
% 0.20/0.52 % (27431)------------------------------
% 0.20/0.52 % (27426)Success in time 0.171 s
%------------------------------------------------------------------------------