TSTP Solution File: RNG088+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --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 18:14:54 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 96 ( 2 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 93 ( 32 ~; 30 |; 17 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f574,plain,
$false,
inference(avatar_sat_refutation,[],[f213,f483,f573]) ).
fof(f573,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f572,plain,
( $false
| spl11_2 ),
inference(subsumption_resolution,[],[f571,f160]) ).
fof(f160,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
fof(f571,plain,
( ~ aIdeal0(xJ)
| spl11_2 ),
inference(subsumption_resolution,[],[f570,f155]) ).
fof(f155,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl)
& aElementOf0(xk,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__934) ).
fof(f570,plain,
( ~ aElementOf0(xl,xJ)
| ~ aIdeal0(xJ)
| spl11_2 ),
inference(subsumption_resolution,[],[f567,f125]) ).
fof(f125,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
( aElementOf0(xm,xI)
& aElementOf0(xn,xJ)
& xy = sdtpldt0(xm,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__967) ).
fof(f567,plain,
( ~ aElementOf0(xn,xJ)
| ~ aElementOf0(xl,xJ)
| ~ aIdeal0(xJ)
| spl11_2 ),
inference(resolution,[],[f212,f163]) ).
fof(f163,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,X0)
| ~ aIdeal0(X0)
| aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X1,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ aIdeal0(X0)
| ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ~ aIdeal0(X0)
| ( aSet0(X0)
& ! [X1] :
( ( ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) )
& ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( aIdeal0(X0)
=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) )
& aSet0(X0) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f31,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f212,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| spl11_2 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl11_2
<=> aElementOf0(sdtpldt0(xl,xn),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f483,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| spl11_1 ),
inference(subsumption_resolution,[],[f481,f153]) ).
fof(f153,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f481,plain,
( ~ aElementOf0(xk,xI)
| spl11_1 ),
inference(subsumption_resolution,[],[f480,f161]) ).
fof(f161,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
fof(f480,plain,
( ~ aIdeal0(xI)
| ~ aElementOf0(xk,xI)
| spl11_1 ),
inference(subsumption_resolution,[],[f477,f126]) ).
fof(f126,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[],[f28]) ).
fof(f477,plain,
( ~ aElementOf0(xm,xI)
| ~ aElementOf0(xk,xI)
| ~ aIdeal0(xI)
| spl11_1 ),
inference(resolution,[],[f208,f163]) ).
fof(f208,plain,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| spl11_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl11_1
<=> aElementOf0(sdtpldt0(xk,xm),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f213,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f127,f210,f206]) ).
fof(f127,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG088+1 : 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_uns --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 12:20:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (29499)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (29506)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51 % (29495)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (29519)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.51 % (29503)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (29505)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (29498)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (29504)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (29504)First to succeed.
% 0.19/0.52 % (29501)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (29505)Instruction limit reached!
% 0.19/0.52 % (29505)------------------------------
% 0.19/0.52 % (29505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29496)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (29516)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52 % (29497)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (29496)Instruction limit reached!
% 0.19/0.52 % (29496)------------------------------
% 0.19/0.52 % (29496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29512)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (29517)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53 % (29494)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (29508)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (29523)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (29518)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (29514)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53 % (29510)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (29500)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (29508)Instruction limit reached!
% 0.19/0.53 % (29508)------------------------------
% 0.19/0.53 % (29508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (29508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (29508)Termination reason: Unknown
% 0.19/0.53 % (29508)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (29508)Memory used [KB]: 6012
% 0.19/0.53 % (29508)Time elapsed: 0.005 s
% 0.19/0.53 % (29508)Instructions burned: 4 (million)
% 0.19/0.53 % (29508)------------------------------
% 0.19/0.53 % (29508)------------------------------
% 0.19/0.53 % (29515)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (29513)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54 % (29504)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (29504)------------------------------
% 0.19/0.54 % (29504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (29504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (29504)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (29504)Memory used [KB]: 6140
% 0.19/0.54 % (29504)Time elapsed: 0.115 s
% 0.19/0.54 % (29504)Instructions burned: 6 (million)
% 0.19/0.54 % (29504)------------------------------
% 0.19/0.54 % (29504)------------------------------
% 0.19/0.54 % (29493)Success in time 0.184 s
%------------------------------------------------------------------------------