TSTP Solution File: RNG102+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG102+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 : n001.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 18:15:00 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 135 ( 46 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 169 ( 60 ~; 61 |; 40 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 46 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f753,plain,
$false,
inference(unit_resulting_resolution,[],[f353,f352,f217]) ).
fof(f217,plain,
! [X0] :
( xy != sdtasdt0(xc,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( xy != sdtasdt0(xc,X0)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& xy = sdtasdt0(xc,X0) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
? [X0] :
( aElement0(X0)
& xy = sdtasdt0(xc,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f352,plain,
xy = sdtasdt0(xc,sK15(xc,xy)),
inference(subsumption_resolution,[],[f346,f186]) ).
fof(f186,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(f346,plain,
( ~ aElement0(xc)
| xy = sdtasdt0(xc,sK15(xc,xy)) ),
inference(resolution,[],[f194,f279]) ).
fof(f279,plain,
! [X0,X5] :
( ~ aElementOf0(X5,slsdtgt0(X0))
| ~ aElement0(X0)
| sdtasdt0(X0,sK15(X0,X5)) = X5 ),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X5] :
( sdtasdt0(X0,sK15(X0,X5)) = X5
| ~ aElementOf0(X5,X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ( ( ~ aElementOf0(sK13(X0,X1),X1)
| ! [X3] :
( sdtasdt0(X0,X3) != sK13(X0,X1)
| ~ aElement0(X3) ) )
& ( aElementOf0(sK13(X0,X1),X1)
| ( sK13(X0,X1) = sdtasdt0(X0,sK14(X0,X1))
& aElement0(sK14(X0,X1)) ) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( ( sdtasdt0(X0,sK15(X0,X5)) = X5
& aElement0(sK15(X0,X5)) )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( sdtasdt0(X0,X7) != X5
| ~ aElement0(X7) ) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f150,f153,f152,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) ) ) )
=> ( ( ~ aElementOf0(sK13(X0,X1),X1)
| ! [X3] :
( sdtasdt0(X0,X3) != sK13(X0,X1)
| ~ aElement0(X3) ) )
& ( aElementOf0(sK13(X0,X1),X1)
| ? [X4] :
( sK13(X0,X1) = sdtasdt0(X0,X4)
& aElement0(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0,X1] :
( ? [X4] :
( sK13(X0,X1) = sdtasdt0(X0,X4)
& aElement0(X4) )
=> ( sK13(X0,X1) = sdtasdt0(X0,sK14(X0,X1))
& aElement0(sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0,X5] :
( ? [X6] :
( sdtasdt0(X0,X6) = X5
& aElement0(X6) )
=> ( sdtasdt0(X0,sK15(X0,X5)) = X5
& aElement0(sK15(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) ) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( ? [X6] :
( sdtasdt0(X0,X6) = X5
& aElement0(X6) )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( sdtasdt0(X0,X7) != X5
| ~ aElement0(X7) ) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( aSet0(X1)
& ! [X2] :
( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
<=> aElementOf0(X2,X1) ) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( aSet0(X1)
& ! [X2] :
( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
<=> aElementOf0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f194,plain,
aElementOf0(xy,slsdtgt0(xc)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f353,plain,
aElement0(sK15(xc,xy)),
inference(subsumption_resolution,[],[f347,f186]) ).
fof(f347,plain,
( aElement0(sK15(xc,xy))
| ~ aElement0(xc) ),
inference(resolution,[],[f194,f280]) ).
fof(f280,plain,
! [X0,X5] :
( ~ aElementOf0(X5,slsdtgt0(X0))
| ~ aElement0(X0)
| aElement0(sK15(X0,X5)) ),
inference(equality_resolution,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X5] :
( aElement0(sK15(X0,X5))
| ~ aElementOf0(X5,X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG102+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : n001.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 12:29:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (23216)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)
% 0.19/0.45 % (23208)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)
% 0.19/0.46 % (23200)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)
% 0.19/0.46 % (23208)Instruction limit reached!
% 0.19/0.46 % (23208)------------------------------
% 0.19/0.46 % (23208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (23208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (23208)Termination reason: Unknown
% 0.19/0.46 % (23208)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (23208)Memory used [KB]: 6140
% 0.19/0.46 % (23208)Time elapsed: 0.044 s
% 0.19/0.46 % (23208)Instructions burned: 8 (million)
% 0.19/0.46 % (23208)------------------------------
% 0.19/0.46 % (23208)------------------------------
% 0.19/0.48 % (23216)First to succeed.
% 0.19/0.49 % (23216)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (23216)------------------------------
% 0.19/0.49 % (23216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (23216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (23216)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (23216)Memory used [KB]: 2302
% 0.19/0.49 % (23216)Time elapsed: 0.068 s
% 0.19/0.49 % (23216)Instructions burned: 32 (million)
% 0.19/0.49 % (23216)------------------------------
% 0.19/0.49 % (23216)------------------------------
% 0.19/0.49 % (23190)Success in time 0.141 s
%------------------------------------------------------------------------------