TSTP Solution File: RNG088+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG088+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 : n008.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 18:15:45 EDT 2022
% Result : Theorem 0.15s 0.55s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 71 ( 2 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 59 ( 16 ~; 14 |; 15 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f212,plain,
$false,
inference(avatar_sat_refutation,[],[f177,f209,f211]) ).
fof(f211,plain,
spl10_2,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f210,plain,
( $false
| spl10_2 ),
inference(unit_resulting_resolution,[],[f159,f140,f160,f176,f101]) ).
fof(f101,plain,
! [X3,X0,X1] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ aIdeal0(X0)
| ( aSet0(X0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(sdtpldt0(X1,X3),X0) ) ) ) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( aIdeal0(X0)
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f35,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) ) )
<=> aIdeal0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f176,plain,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| spl10_2 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl10_2
<=> aElementOf0(sdtpldt0(xk,xm),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f160,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl)
& aElementOf0(xk,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
fof(f140,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
( aElementOf0(xn,xJ)
& aElementOf0(xm,xI)
& xy = sdtpldt0(xm,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).
fof(f159,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
fof(f209,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f206,plain,
( $false
| spl10_1 ),
inference(unit_resulting_resolution,[],[f158,f141,f162,f172,f101]) ).
fof(f172,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| spl10_1 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl10_1
<=> aElementOf0(sdtpldt0(xl,xn),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f162,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f141,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f158,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
fof(f177,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f142,f174,f170]) ).
fof(f142,plain,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,negated_conjecture,
~ ( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : RNG088+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.32 % Computer : n008.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Aug 30 12:08:10 EDT 2022
% 0.09/0.32 % CPUTime :
% 0.15/0.47 % (21401)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)
% 0.15/0.47 % (21391)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.47 % (21394)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (21414)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)
% 0.15/0.47 % (21402)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)
% 0.15/0.48 % (21398)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)
% 0.15/0.49 % (21394)Instruction limit reached!
% 0.15/0.49 % (21394)------------------------------
% 0.15/0.49 % (21394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (21406)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)
% 0.15/0.49 % (21409)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)
% 0.15/0.50 % (21410)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)
% 0.15/0.50 % (21394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (21394)Termination reason: Unknown
% 0.15/0.50 % (21394)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (21394)Memory used [KB]: 5500
% 0.15/0.50 % (21394)Time elapsed: 0.113 s
% 0.15/0.50 % (21394)Instructions burned: 7 (million)
% 0.15/0.50 % (21394)------------------------------
% 0.15/0.50 % (21394)------------------------------
% 0.15/0.52 % (21400)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.52 % (21405)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.52 % (21399)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.52 % (21408)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.52 % (21389)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)
% 0.15/0.52 % (21388)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)
% 0.15/0.53 % (21390)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)
% 0.15/0.53 % (21392)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)
% 0.15/0.53 % (21388)First to succeed.
% 0.15/0.53 % (21416)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)
% 0.15/0.53 % (21412)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.53 % (21396)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)
% 0.15/0.54 % (21415)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.54 % (21413)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)
% 0.15/0.54 % (21407)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)
% 0.15/0.54 % (21404)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.54 % (21397)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.55 TRYING [1]
% 0.15/0.55 % (21391)Also succeeded, but the first one will report.
% 0.15/0.55 % (21388)Refutation found. Thanks to Tanya!
% 0.15/0.55 % SZS status Theorem for theBenchmark
% 0.15/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.55 % (21388)------------------------------
% 0.15/0.55 % (21388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (21388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (21388)Termination reason: Refutation
% 0.15/0.55
% 0.15/0.55 % (21388)Memory used [KB]: 5628
% 0.15/0.55 % (21388)Time elapsed: 0.155 s
% 0.15/0.55 % (21388)Instructions burned: 6 (million)
% 0.15/0.55 % (21388)------------------------------
% 0.15/0.55 % (21388)------------------------------
% 0.15/0.55 % (21386)Success in time 0.23 s
%------------------------------------------------------------------------------