TSTP Solution File: RNG125+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG125+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 : n027.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 1.70s 0.59s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 124 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 115 ( 41 ~; 35 |; 18 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f564,plain,
$false,
inference(avatar_sat_refutation,[],[f271,f332,f341,f554,f559,f561,f563]) ).
fof(f563,plain,
spl23_9,
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f562,plain,
( $false
| spl23_9 ),
inference(resolution,[],[f558,f142]) ).
fof(f142,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f558,plain,
( ~ aElement0(xa)
| spl23_9 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl23_9
<=> aElement0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f561,plain,
spl23_8,
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f560,plain,
( $false
| spl23_8 ),
inference(resolution,[],[f553,f143]) ).
fof(f143,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f553,plain,
( ~ aElement0(xb)
| spl23_8 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f551,plain,
( spl23_8
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f559,plain,
( ~ spl23_9
| spl23_4
| ~ spl23_5 ),
inference(avatar_split_clause,[],[f549,f325,f268,f556]) ).
fof(f268,plain,
( spl23_4
<=> aDivisorOf0(xu,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f325,plain,
( spl23_5
<=> aElement0(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f549,plain,
( ~ aElement0(xu)
| aDivisorOf0(xu,xa)
| ~ aElement0(xa) ),
inference(resolution,[],[f221,f202]) ).
fof(f202,plain,
doDivides0(xu,xa),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
doDivides0(xu,xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2479) ).
fof(f221,plain,
! [X0,X1] :
( ~ doDivides0(X1,X0)
| aDivisorOf0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( doDivides0(X1,X0)
& aElement0(X1) )
<=> aDivisorOf0(X1,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( doDivides0(X1,X0)
& aElement0(X1) )
<=> aDivisorOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDvs) ).
fof(f554,plain,
( ~ spl23_5
| ~ spl23_8
| spl23_3 ),
inference(avatar_split_clause,[],[f548,f264,f551,f325]) ).
fof(f264,plain,
( spl23_3
<=> aDivisorOf0(xu,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f548,plain,
( aDivisorOf0(xu,xb)
| ~ aElement0(xb)
| ~ aElement0(xu) ),
inference(resolution,[],[f221,f194]) ).
fof(f194,plain,
doDivides0(xu,xb),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
doDivides0(xu,xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).
fof(f341,plain,
spl23_6,
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| spl23_6 ),
inference(resolution,[],[f331,f272]) ).
fof(f272,plain,
aSet0(xI),
inference(resolution,[],[f193,f171]) ).
fof(f171,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) ).
fof(f193,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) ) ) )
<=> aIdeal0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) )
<=> aIdeal0(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f331,plain,
( ~ aSet0(xI)
| spl23_6 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl23_6
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f332,plain,
( spl23_5
| ~ spl23_6 ),
inference(avatar_split_clause,[],[f321,f329,f325]) ).
fof(f321,plain,
( ~ aSet0(xI)
| aElement0(xu) ),
inference(resolution,[],[f209,f206]) ).
fof(f206,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& aElementOf0(xu,xI)
& sz00 != xu ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( sz00 != xu
& aElementOf0(xu,xI)
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( sz00 != xu
& aElementOf0(xu,xI)
& ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f209,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f271,plain,
( ~ spl23_3
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f156,f268,f264]) ).
fof(f156,plain,
( ~ aDivisorOf0(xu,xa)
| ~ aDivisorOf0(xu,xb) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
~ ( aDivisorOf0(xu,xb)
& aDivisorOf0(xu,xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2383) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % 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 : n027.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 12:30:46 EDT 2022
% 0.21/0.34 % CPUTime :
% 0.21/0.53 % (13139)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)
% 0.21/0.53 % (13135)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)
% 0.21/0.53 % (13137)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (13136)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)
% 0.21/0.53 % (13113)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)
% 0.21/0.54 % (13127)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 % (13119)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)
% 0.21/0.54 % (13129)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)
% 0.21/0.54 % (13128)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)
% 0.21/0.55 % (13121)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (13121)Instruction limit reached!
% 0.21/0.55 % (13121)------------------------------
% 0.21/0.55 % (13121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (13121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (13121)Termination reason: Unknown
% 0.21/0.55 % (13121)Termination phase: shuffling
% 0.21/0.55
% 0.21/0.55 % (13121)Memory used [KB]: 895
% 0.21/0.55 % (13121)Time elapsed: 0.002 s
% 0.21/0.55 % (13121)Instructions burned: 2 (million)
% 0.21/0.55 % (13121)------------------------------
% 0.21/0.55 % (13121)------------------------------
% 0.21/0.55 % (13120)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (13117)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (13142)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)
% 0.21/0.55 % (13134)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (13120)Instruction limit reached!
% 0.21/0.55 % (13120)------------------------------
% 0.21/0.55 % (13120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (13120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (13120)Termination reason: Unknown
% 0.21/0.55 % (13120)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (13120)Memory used [KB]: 5628
% 0.21/0.55 % (13120)Time elapsed: 0.131 s
% 0.21/0.55 % (13120)Instructions burned: 7 (million)
% 0.21/0.55 % (13120)------------------------------
% 0.21/0.55 % (13120)------------------------------
% 0.21/0.55 % (13114)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)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 % (13116)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)
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (13118)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)
% 0.21/0.56 % (13138)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56 % (13126)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 TRYING [2]
% 1.57/0.56 % (13116)First to succeed.
% 1.57/0.56 % (13123)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.57/0.56 % (13130)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.57/0.56 % (13131)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.57/0.57 TRYING [3]
% 1.57/0.57 % (13133)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)
% 1.57/0.57 % (13124)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)
% 1.57/0.57 % (13122)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)
% 1.57/0.57 % (13140)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)
% 1.57/0.57 % (13141)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.57/0.57 % (13132)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)
% 1.57/0.57 % (13125)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.70/0.58 TRYING [3]
% 1.70/0.58 % (13119)Instruction limit reached!
% 1.70/0.58 % (13119)------------------------------
% 1.70/0.58 % (13119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (13119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (13119)Termination reason: Unknown
% 1.70/0.58 % (13119)Termination phase: Finite model building constraint generation
% 1.70/0.58
% 1.70/0.58 % (13119)Memory used [KB]: 8059
% 1.70/0.59 % (13115)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)
% 1.70/0.59 % (13119)Time elapsed: 0.147 s
% 1.70/0.59 % (13119)Instructions burned: 53 (million)
% 1.70/0.59 % (13119)------------------------------
% 1.70/0.59 % (13119)------------------------------
% 1.70/0.59 % (13116)Refutation found. Thanks to Tanya!
% 1.70/0.59 % SZS status Theorem for theBenchmark
% 1.70/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.59 % (13116)------------------------------
% 1.70/0.59 % (13116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (13116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (13116)Termination reason: Refutation
% 1.70/0.59
% 1.70/0.59 % (13116)Memory used [KB]: 5756
% 1.70/0.59 % (13116)Time elapsed: 0.155 s
% 1.70/0.59 % (13116)Instructions burned: 17 (million)
% 1.70/0.59 % (13116)------------------------------
% 1.70/0.59 % (13116)------------------------------
% 1.70/0.59 % (13112)Success in time 0.236 s
%------------------------------------------------------------------------------