TSTP Solution File: RNG102+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n024.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 18:15:50 EDT 2022
% Result : Theorem 1.55s 0.58s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 138 ( 47 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 175 ( 65 ~; 62 |; 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(f373,plain,
$false,
inference(subsumption_resolution,[],[f372,f236]) ).
fof(f236,plain,
aElementOf0(xy,slsdtgt0(xc)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc))
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f372,plain,
~ aElementOf0(xy,slsdtgt0(xc)),
inference(subsumption_resolution,[],[f371,f212]) ).
fof(f212,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(f371,plain,
( ~ aElement0(xc)
| ~ aElementOf0(xy,slsdtgt0(xc)) ),
inference(resolution,[],[f351,f273]) ).
fof(f273,plain,
! [X0,X5] :
( aElement0(sK8(X0,X5))
| ~ aElement0(X0)
| ~ aElementOf0(X5,slsdtgt0(X0)) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X5] :
( ~ aElement0(X0)
| aElement0(sK8(X0,X5))
| ~ aElementOf0(X5,X1)
| slsdtgt0(X0) != X1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ( ( ~ aElementOf0(sK6(X0,X1),X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != sK6(X0,X1) ) )
& ( aElementOf0(sK6(X0,X1),X1)
| ( aElement0(sK7(X0,X1))
& sdtasdt0(X0,sK7(X0,X1)) = sK6(X0,X1) ) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( ( aElement0(sK8(X0,X5))
& sdtasdt0(X0,sK8(X0,X5)) = X5 )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(X0,X7) != X5 ) ) ) )
| slsdtgt0(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f132,f135,f134,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = X2 ) ) )
=> ( ( ~ aElementOf0(sK6(X0,X1),X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != sK6(X0,X1) ) )
& ( aElementOf0(sK6(X0,X1),X1)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = sK6(X0,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = sK6(X0,X1) )
=> ( aElement0(sK7(X0,X1))
& sdtasdt0(X0,sK7(X0,X1)) = sK6(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0,X5] :
( ? [X6] :
( aElement0(X6)
& sdtasdt0(X0,X6) = X5 )
=> ( aElement0(sK8(X0,X5))
& sdtasdt0(X0,sK8(X0,X5)) = X5 ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = X2 ) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( ? [X6] :
( aElement0(X6)
& sdtasdt0(X0,X6) = X5 )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(X0,X7) != X5 ) ) ) )
| slsdtgt0(X0) != X1 ) ) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) ) ) )
| slsdtgt0(X0) != X1 ) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) ) ) )
| slsdtgt0(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( slsdtgt0(X0) = X1
<=> ( aSet0(X1)
& ! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
<=> aElementOf0(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( aSet0(X1)
& ! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
<=> aElementOf0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f351,plain,
~ aElement0(sK8(xc,xy)),
inference(trivial_inequality_removal,[],[f349]) ).
fof(f349,plain,
( ~ aElement0(sK8(xc,xy))
| xy != xy ),
inference(superposition,[],[f245,f313]) ).
fof(f313,plain,
xy = sdtasdt0(xc,sK8(xc,xy)),
inference(subsumption_resolution,[],[f311,f212]) ).
fof(f311,plain,
( xy = sdtasdt0(xc,sK8(xc,xy))
| ~ aElement0(xc) ),
inference(resolution,[],[f274,f236]) ).
fof(f274,plain,
! [X0,X5] :
( ~ aElementOf0(X5,slsdtgt0(X0))
| sdtasdt0(X0,sK8(X0,X5)) = X5
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X5] :
( ~ aElement0(X0)
| sdtasdt0(X0,sK8(X0,X5)) = X5
| ~ aElementOf0(X5,X1)
| slsdtgt0(X0) != X1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f245,plain,
! [X0] :
( xy != sdtasdt0(xc,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,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__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG102+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 12:10:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (9867)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (9877)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)
% 0.20/0.55 % (9886)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)
% 0.20/0.55 % (9869)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)
% 0.20/0.55 % (9878)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)
% 0.20/0.56 % (9870)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 TRYING [1]
% 0.20/0.56 % (9891)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56 % (9885)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)
% 0.20/0.57 % (9872)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)
% 0.20/0.57 TRYING [2]
% 1.55/0.57 % (9888)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.55/0.57 % (9870)Instruction limit reached!
% 1.55/0.57 % (9870)------------------------------
% 1.55/0.57 % (9870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57 % (9870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57 % (9870)Termination reason: Unknown
% 1.55/0.57 % (9870)Termination phase: Saturation
% 1.55/0.57
% 1.55/0.57 % (9870)Memory used [KB]: 5628
% 1.55/0.57 % (9870)Time elapsed: 0.090 s
% 1.55/0.57 % (9870)Instructions burned: 7 (million)
% 1.55/0.57 % (9870)------------------------------
% 1.55/0.57 % (9870)------------------------------
% 1.55/0.57 % (9875)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.55/0.57 % (9863)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)
% 1.55/0.58 % (9886)First to succeed.
% 1.55/0.58 % (9880)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.55/0.58 % (9886)Refutation found. Thanks to Tanya!
% 1.55/0.58 % SZS status Theorem for theBenchmark
% 1.55/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.58 % (9886)------------------------------
% 1.55/0.58 % (9886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58 % (9886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (9886)Termination reason: Refutation
% 1.55/0.58
% 1.55/0.58 % (9886)Memory used [KB]: 5756
% 1.55/0.58 % (9886)Time elapsed: 0.097 s
% 1.55/0.58 % (9886)Instructions burned: 13 (million)
% 1.55/0.58 % (9886)------------------------------
% 1.55/0.58 % (9886)------------------------------
% 1.55/0.58 % (9862)Success in time 0.22 s
%------------------------------------------------------------------------------