TSTP Solution File: RNG099+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG099+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 : n014.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 18:15:49 EDT 2022
% Result : Theorem 1.80s 0.63s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 18 unt; 0 def)
% Number of atoms : 154 ( 3 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 160 ( 55 ~; 46 |; 41 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 56 ( 54 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f500,plain,
$false,
inference(subsumption_resolution,[],[f499,f146]) ).
fof(f146,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
( aElement0(xy)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
fof(f499,plain,
~ aElement0(xx),
inference(subsumption_resolution,[],[f498,f324]) ).
fof(f324,plain,
aElement0(xb),
inference(resolution,[],[f317,f195]) ).
fof(f195,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
( aElementOf0(xb,xJ)
& aElementOf0(xa,xI)
& sz10 = sdtpldt0(xa,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
fof(f317,plain,
! [X0] :
( ~ aElementOf0(X0,xJ)
| aElement0(X0) ),
inference(resolution,[],[f188,f201]) ).
fof(f201,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( aIdeal0(xJ)
& aSet0(xI)
& aIdeal0(xI)
& ! [X0] :
( ( ! [X1] :
( ~ aElementOf0(X1,xJ)
| aElementOf0(sdtpldt0(X0,X1),xJ) )
& ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),xJ) ) )
| ~ aElementOf0(X0,xJ) )
& ! [X3] :
( ~ aElementOf0(X3,xI)
| ( ! [X4] :
( ~ aElement0(X4)
| aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) ) )
& aSet0(xJ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
( aIdeal0(xJ)
& aSet0(xI)
& aIdeal0(xI)
& ! [X3] :
( ( ! [X5] :
( ~ aElementOf0(X5,xJ)
| aElementOf0(sdtpldt0(X3,X5),xJ) )
& ! [X4] :
( ~ aElement0(X4)
| aElementOf0(sdtasdt0(X4,X3),xJ) ) )
| ~ aElementOf0(X3,xJ) )
& ! [X0] :
( ~ aElementOf0(X0,xI)
| ( ! [X1] :
( ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xI)
| ~ aElementOf0(X2,xI) ) ) )
& aSet0(xJ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
( ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X0,X2),xI) ) ) )
& aSet0(xI)
& aIdeal0(xJ)
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xJ) )
& ! [X5] :
( aElementOf0(X5,xJ)
=> aElementOf0(sdtpldt0(X3,X5),xJ) ) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
( ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& aSet0(xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
fof(f188,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aElement0(X1)
| ~ aElementOf0(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f498,plain,
( ~ aElement0(xb)
| ~ aElement0(xx) ),
inference(resolution,[],[f497,f130]) ).
fof(f130,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f497,plain,
~ aElement0(sdtasdt0(xx,xb)),
inference(subsumption_resolution,[],[f496,f147]) ).
fof(f147,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f496,plain,
( ~ aElement0(xy)
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(subsumption_resolution,[],[f495,f367]) ).
fof(f367,plain,
aElement0(xa),
inference(resolution,[],[f319,f194]) ).
fof(f194,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f319,plain,
! [X4] :
( ~ aElementOf0(X4,xI)
| aElement0(X4) ),
inference(resolution,[],[f188,f207]) ).
fof(f207,plain,
aSet0(xI),
inference(cnf_transformation,[],[f129]) ).
fof(f495,plain,
( ~ aElement0(xa)
| ~ aElement0(xy)
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(resolution,[],[f494,f130]) ).
fof(f494,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(subsumption_resolution,[],[f493,f254]) ).
fof(f254,plain,
~ aElement0(xw),
inference(subsumption_resolution,[],[f248,f200]) ).
fof(f200,plain,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1332) ).
fof(f248,plain,
( ~ aElement0(xw)
| ~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI) ),
inference(resolution,[],[f139,f149]) ).
fof(f149,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElement0(X0)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ aElement0(X0)
| ( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
& ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
| ( ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
& ~ sdteqdtlpzmzozddtrp0(X0,xx,xI) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ? [X0] :
( ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X0,xx,xI)
| aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) )
& aElement0(X0) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
? [X0] :
( ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X0,xx,xI)
| aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) )
& aElement0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f139,plain,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).
fof(f493,plain,
( aElement0(xw)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(sdtasdt0(xy,xa)) ),
inference(superposition,[],[f212,f197]) ).
fof(f197,plain,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1319) ).
fof(f212,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X1) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % 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 : n014.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 12:08:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.54 % (19381)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)
% 0.21/0.56 % (19369)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)
% 0.21/0.56 % (19373)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)
% 1.45/0.57 % (19386)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.57 TRYING [1]
% 1.45/0.57 % (19389)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)
% 1.45/0.58 % (19377)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.80/0.59 % (19370)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)
% 1.80/0.59 TRYING [2]
% 1.80/0.59 % (19367)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)
% 1.80/0.59 % (19371)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.59 % (19372)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)
% 1.80/0.59 % (19390)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)
% 1.80/0.60 % (19374)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.80/0.60 % (19382)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)
% 1.80/0.61 % (19369)First to succeed.
% 1.80/0.61 % (19396)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.80/0.62 % (19374)Instruction limit reached!
% 1.80/0.62 % (19374)------------------------------
% 1.80/0.62 % (19374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (19374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (19374)Termination reason: Unknown
% 1.80/0.62 % (19374)Termination phase: Saturation
% 1.80/0.62
% 1.80/0.62 % (19374)Memory used [KB]: 5628
% 1.80/0.62 % (19374)Time elapsed: 0.129 s
% 1.80/0.62 % (19374)Instructions burned: 8 (million)
% 1.80/0.62 % (19374)------------------------------
% 1.80/0.62 % (19374)------------------------------
% 1.80/0.62 % (19394)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.80/0.62 TRYING [3]
% 1.80/0.62 % (19393)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)
% 1.80/0.62 % (19392)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.80/0.63 % (19368)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)
% 1.80/0.63 % (19380)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.80/0.63 % (19385)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.63 % (19395)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.80/0.63 % (19369)Refutation found. Thanks to Tanya!
% 1.80/0.63 % SZS status Theorem for theBenchmark
% 1.80/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.63 % (19369)------------------------------
% 1.80/0.63 % (19369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (19369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (19369)Termination reason: Refutation
% 1.80/0.63
% 1.80/0.63 % (19369)Memory used [KB]: 1407
% 1.80/0.63 % (19369)Time elapsed: 0.181 s
% 1.80/0.63 % (19369)Instructions burned: 26 (million)
% 1.80/0.63 % (19369)------------------------------
% 1.80/0.63 % (19369)------------------------------
% 1.80/0.63 % (19366)Success in time 0.27 s
%------------------------------------------------------------------------------