TSTP Solution File: RNG121+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG121+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 : n028.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 18:15:56 EDT 2022
% Result : Theorem 2.48s 0.69s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 130 ( 45 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 129 ( 30 ~; 23 |; 71 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 43 ( 15 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f814,plain,
$false,
inference(subsumption_resolution,[],[f813,f497]) ).
fof(f497,plain,
aElementOf0(xb,sF48),
inference(forward_demodulation,[],[f369,f456]) ).
fof(f456,plain,
slsdtgt0(xb) = sF48,
introduced(function_definition,[]) ).
fof(f369,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( sz00 = sdtasdt0(xb,sK30)
& aElement0(sK30)
& aElementOf0(sz00,slsdtgt0(xa))
& aElement0(sK31)
& xb = sdtasdt0(xb,sK31)
& aElementOf0(xb,slsdtgt0(xb))
& xa = sdtasdt0(xa,sK32)
& aElement0(sK32)
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xa,slsdtgt0(xa))
& sz00 = sdtasdt0(xa,sK33)
& aElement0(sK33) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33])],[f213,f217,f216,f215,f214]) ).
fof(f214,plain,
( ? [X0] :
( sz00 = sdtasdt0(xb,X0)
& aElement0(X0) )
=> ( sz00 = sdtasdt0(xb,sK30)
& aElement0(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
( ? [X1] :
( aElement0(X1)
& xb = sdtasdt0(xb,X1) )
=> ( aElement0(sK31)
& xb = sdtasdt0(xb,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
( ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
=> ( xa = sdtasdt0(xa,sK32)
& aElement0(sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
( ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) )
=> ( sz00 = sdtasdt0(xa,sK33)
& aElement0(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
( ? [X0] :
( sz00 = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X1] :
( aElement0(X1)
& xb = sdtasdt0(xb,X1) )
& aElementOf0(xb,slsdtgt0(xb))
& ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xa,slsdtgt0(xa))
& ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
( ? [X3] :
( sz00 = sdtasdt0(xb,X3)
& aElement0(X3) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X0] :
( aElement0(X0)
& xb = sdtasdt0(xb,X0) )
& aElementOf0(xb,slsdtgt0(xb))
& ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xa,slsdtgt0(xa))
& ? [X1] :
( sz00 = sdtasdt0(xa,X1)
& aElement0(X1) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
( ? [X0] :
( aElement0(X0)
& xb = sdtasdt0(xb,X0) )
& ? [X0] :
( sz00 = sdtasdt0(xa,X0)
& aElement0(X0) )
& ? [X0] :
( aElement0(X0)
& xa = sdtasdt0(xa,X0) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X0] :
( sz00 = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(xb,slsdtgt0(xb))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(sz00,slsdtgt0(xa)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
fof(f813,plain,
~ aElementOf0(xb,sF48),
inference(subsumption_resolution,[],[f812,f466]) ).
fof(f466,plain,
aElementOf0(sz00,sF49),
inference(forward_demodulation,[],[f372,f457]) ).
fof(f457,plain,
slsdtgt0(xa) = sF49,
introduced(function_definition,[]) ).
fof(f372,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f218]) ).
fof(f812,plain,
( ~ aElementOf0(sz00,sF49)
| ~ aElementOf0(xb,sF48) ),
inference(trivial_inequality_removal,[],[f811]) ).
fof(f811,plain,
( xb != xb
| ~ aElementOf0(sz00,sF49)
| ~ aElementOf0(xb,sF48) ),
inference(superposition,[],[f458,f564]) ).
fof(f564,plain,
xb = sdtpldt0(sz00,xb),
inference(resolution,[],[f379,f356]) ).
fof(f356,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(f379,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ~ aElement0(X0)
| ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f458,plain,
! [X0,X1] :
( sdtpldt0(X1,X0) != xb
| ~ aElementOf0(X0,sF48)
| ~ aElementOf0(X1,sF49) ),
inference(definition_folding,[],[f418,f457,f456]) ).
fof(f418,plain,
! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(xb))
| sdtpldt0(X1,X0) != xb
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,slsdtgt0(xb))
| sdtpldt0(X1,X0) != xb
| ~ aElementOf0(X1,slsdtgt0(xa)) )
& ~ aElementOf0(xb,xI)
& ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| xb != sdtpldt0(X2,X3) ) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
( ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xb))
| xb != sdtpldt0(X3,X2)
| ~ aElementOf0(X3,slsdtgt0(xa)) )
& ~ aElementOf0(xb,xI)
& ! [X1,X0] :
( ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElementOf0(X0,slsdtgt0(xb))
| sdtpldt0(X1,X0) != xb ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
~ ( aElementOf0(xb,xI)
| ? [X2,X3] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& xb = sdtpldt0(X3,X2) )
| ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xb))
& sdtpldt0(X1,X0) = xb
& aElementOf0(X1,slsdtgt0(xa)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ? [X1,X0] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| aElementOf0(xb,xI)
| ? [X1,X0] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ? [X1,X0] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| aElementOf0(xb,xI)
| ? [X1,X0] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG121+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : n028.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 12:22:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (6694)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 % (6701)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.57 % (6709)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.45/0.58 % (6717)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)
% 1.45/0.58 % (6692)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.74/0.58 % (6702)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)
% 1.74/0.58 % (6710)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)
% 1.74/0.58 TRYING [1]
% 1.74/0.59 % (6693)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)
% 1.74/0.59 % (6690)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)
% 1.74/0.59 % (6689)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)
% 1.74/0.60 % (6688)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)
% 1.74/0.60 % (6691)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)
% 1.74/0.60 % (6711)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)
% 1.74/0.60 TRYING [2]
% 1.74/0.60 % (6703)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)
% 1.74/0.61 % (6715)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)
% 1.74/0.61 % (6713)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.74/0.62 % (6695)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.74/0.62 % (6698)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.74/0.62 % (6705)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.74/0.62 % (6699)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.74/0.62 % (6706)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.74/0.62 % (6712)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.74/0.63 TRYING [3]
% 1.74/0.63 % (6697)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)
% 1.74/0.63 % (6696)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.74/0.63 % (6716)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.74/0.63 % (6714)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)
% 1.74/0.63 % (6704)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.74/0.63 % (6695)Instruction limit reached!
% 1.74/0.63 % (6695)------------------------------
% 1.74/0.63 % (6695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.63 % (6695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.63 % (6695)Termination reason: Unknown
% 1.74/0.63 % (6695)Termination phase: Saturation
% 1.74/0.63
% 1.74/0.63 % (6695)Memory used [KB]: 1151
% 1.74/0.63 % (6695)Time elapsed: 0.011 s
% 1.74/0.63 % (6695)Instructions burned: 7 (million)
% 1.74/0.63 % (6695)------------------------------
% 1.74/0.63 % (6695)------------------------------
% 1.74/0.64 % (6694)Instruction limit reached!
% 1.74/0.64 % (6694)------------------------------
% 1.74/0.64 % (6694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.64 % (6700)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.74/0.64 % (6707)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)
% 1.74/0.64 % (6708)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.74/0.64 % (6694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.64 % (6694)Termination reason: Unknown
% 1.74/0.64 % (6694)Termination phase: Finite model building constraint generation
% 1.74/0.64
% 1.74/0.64 % (6694)Memory used [KB]: 7931
% 1.74/0.64 % (6694)Time elapsed: 0.192 s
% 1.74/0.64 % (6694)Instructions burned: 53 (million)
% 1.74/0.64 % (6694)------------------------------
% 1.74/0.64 % (6694)------------------------------
% 1.74/0.65 % (6696)Instruction limit reached!
% 1.74/0.65 % (6696)------------------------------
% 1.74/0.65 % (6696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.65 % (6696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.65 % (6696)Termination reason: Unknown
% 1.74/0.65 % (6696)Termination phase: Preprocessing 1
% 1.74/0.65
% 1.74/0.65 % (6696)Memory used [KB]: 895
% 1.74/0.65 % (6696)Time elapsed: 0.003 s
% 1.74/0.65 % (6696)Instructions burned: 2 (million)
% 1.74/0.65 % (6696)------------------------------
% 1.74/0.65 % (6696)------------------------------
% 1.74/0.65 TRYING [1]
% 2.48/0.68 TRYING [2]
% 2.48/0.68 % (6703)First to succeed.
% 2.48/0.68 TRYING [1]
% 2.48/0.69 % (6703)Refutation found. Thanks to Tanya!
% 2.48/0.69 % SZS status Theorem for theBenchmark
% 2.48/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.69 % (6703)------------------------------
% 2.48/0.69 % (6703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.69 % (6703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.69 % (6703)Termination reason: Refutation
% 2.48/0.69
% 2.48/0.69 % (6703)Memory used [KB]: 1663
% 2.48/0.69 % (6703)Time elapsed: 0.200 s
% 2.48/0.69 % (6703)Instructions burned: 27 (million)
% 2.48/0.69 % (6703)------------------------------
% 2.48/0.69 % (6703)------------------------------
% 2.48/0.69 % (6686)Success in time 0.334 s
%------------------------------------------------------------------------------