TSTP Solution File: RNG099+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n016.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 18:14:59 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 69 ( 26 unt; 0 def)
% Number of atoms : 189 ( 7 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 183 ( 63 ~; 60 |; 40 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 57 ( 55 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f401,plain,
$false,
inference(avatar_sat_refutation,[],[f343,f348,f352,f389]) ).
fof(f389,plain,
~ spl19_3,
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f387,f235]) ).
fof(f235,plain,
aElementOf0(sF16(xw),xI),
inference(backward_demodulation,[],[f233,f221]) ).
fof(f221,plain,
! [X0] : sF16(X0) = sdtpldt0(X0,sF15),
introduced(function_definition,[]) ).
fof(f233,plain,
aElementOf0(sdtpldt0(xw,sF15),xI),
inference(forward_demodulation,[],[f178,f220]) ).
fof(f220,plain,
smndt0(xx) = sF15,
introduced(function_definition,[]) ).
fof(f178,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(f387,plain,
( ~ aElementOf0(sF16(xw),xI)
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f364,f334]) ).
fof(f334,plain,
( aElement0(xw)
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl19_3
<=> aElement0(xw) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f364,plain,
( ~ aElement0(xw)
| ~ aElementOf0(sF16(xw),xI) ),
inference(resolution,[],[f226,f236]) ).
fof(f236,plain,
aElementOf0(sF18(xw),xJ),
inference(backward_demodulation,[],[f234,f224]) ).
fof(f224,plain,
! [X0] : sF18(X0) = sdtpldt0(X0,sF17),
introduced(function_definition,[]) ).
fof(f234,plain,
aElementOf0(sdtpldt0(xw,sF17),xJ),
inference(forward_demodulation,[],[f208,f223]) ).
fof(f223,plain,
smndt0(xy) = sF17,
introduced(function_definition,[]) ).
fof(f208,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(f226,plain,
! [X0] :
( ~ aElementOf0(sF18(X0),xJ)
| ~ aElement0(X0)
| ~ aElementOf0(sF16(X0),xI) ),
inference(definition_folding,[],[f174,f221,f220,f224,f223]) ).
fof(f174,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
& ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
| ( ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
& ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ? [X0] :
( ( aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
| sdteqdtlpzmzozddtrp0(X0,xx,xI) )
& aElement0(X0)
& ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
? [X0] :
( ( aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
| sdteqdtlpzmzozddtrp0(X0,xx,xI) )
& aElement0(X0)
& ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f352,plain,
spl19_5,
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f351,plain,
( $false
| spl19_5 ),
inference(subsumption_resolution,[],[f350,f137]) ).
fof(f137,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
( aElement0(xy)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
fof(f350,plain,
( ~ aElement0(xx)
| spl19_5 ),
inference(subsumption_resolution,[],[f349,f248]) ).
fof(f248,plain,
aElement0(xb),
inference(subsumption_resolution,[],[f239,f154]) ).
fof(f154,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( aSet0(xJ)
& ! [X0] :
( ~ aElementOf0(X0,xI)
| ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),xI) ) ) )
& aIdeal0(xJ)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ) )
& ! [X5] :
( ~ aElement0(X5)
| aElementOf0(sdtasdt0(X5,X3),xJ) ) )
| ~ aElementOf0(X3,xJ) )
& aSet0(xI)
& aIdeal0(xI) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
( aSet0(xJ)
& ! [X0] :
( ~ aElementOf0(X0,xI)
| ( ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xI)
| ~ aElementOf0(X2,xI) )
& ! [X1] :
( ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xJ)
& ! [X3] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xJ)
| ~ aElementOf0(X5,xJ) )
& ! [X4] :
( ~ aElement0(X4)
| aElementOf0(sdtasdt0(X4,X3),xJ) ) )
| ~ aElementOf0(X3,xJ) )
& aSet0(xI)
& aIdeal0(xI) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
( ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X0,X2),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xJ)
& aSet0(xJ)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xJ) )
& ! [X5] :
( aElementOf0(X5,xJ)
=> aElementOf0(sdtpldt0(X3,X5),xJ) ) ) )
& aSet0(xI)
& aIdeal0(xI) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
( aSet0(xI)
& aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& ! [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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
fof(f239,plain,
( ~ aSet0(xJ)
| aElement0(xb) ),
inference(resolution,[],[f133,f158]) ).
fof(f158,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
( sz10 = sdtpldt0(xa,xb)
& aElementOf0(xb,xJ)
& aElementOf0(xa,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
fof(f133,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,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/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f349,plain,
( ~ aElement0(xb)
| ~ aElement0(xx)
| spl19_5 ),
inference(resolution,[],[f342,f179]) ).
fof(f179,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f342,plain,
( ~ aElement0(sdtasdt0(xx,xb))
| spl19_5 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl19_5
<=> aElement0(sdtasdt0(xx,xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
fof(f348,plain,
spl19_4,
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| spl19_4 ),
inference(subsumption_resolution,[],[f346,f138]) ).
fof(f138,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f346,plain,
( ~ aElement0(xy)
| spl19_4 ),
inference(subsumption_resolution,[],[f345,f244]) ).
fof(f244,plain,
aElement0(xa),
inference(subsumption_resolution,[],[f238,f148]) ).
fof(f148,plain,
aSet0(xI),
inference(cnf_transformation,[],[f98]) ).
fof(f238,plain,
( ~ aSet0(xI)
| aElement0(xa) ),
inference(resolution,[],[f133,f157]) ).
fof(f157,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f345,plain,
( ~ aElement0(xa)
| ~ aElement0(xy)
| spl19_4 ),
inference(resolution,[],[f338,f179]) ).
fof(f338,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| spl19_4 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl19_4
<=> aElement0(sdtasdt0(xy,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f343,plain,
( spl19_3
| ~ spl19_4
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f330,f340,f336,f332]) ).
fof(f330,plain,
( ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(sdtasdt0(xy,xa))
| aElement0(xw) ),
inference(superposition,[],[f180,f139]) ).
fof(f139,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(f180,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aElement0(X1)
| aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( ~ aElement0(X0)
| aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X1) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X1,X0] :
( aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 12:30:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (32018)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.49 % (32017)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)
% 0.19/0.49 % (32010)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (32018)Instruction limit reached!
% 0.19/0.50 % (32018)------------------------------
% 0.19/0.50 % (32018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (32018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (32018)Termination reason: Unknown
% 0.19/0.50 % (32018)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (32018)Memory used [KB]: 6908
% 0.19/0.50 % (32018)Time elapsed: 0.103 s
% 0.19/0.50 % (32018)Instructions burned: 49 (million)
% 0.19/0.50 % (32018)------------------------------
% 0.19/0.50 % (32018)------------------------------
% 0.19/0.50 % (32026)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)
% 0.19/0.52 % (32033)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)
% 0.19/0.52 % (32012)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 % (32012)Instruction limit reached!
% 0.19/0.52 % (32012)------------------------------
% 0.19/0.52 % (32012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (32012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (32012)Termination reason: Unknown
% 0.19/0.52 % (32012)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (32012)Memory used [KB]: 1535
% 0.19/0.52 % (32012)Time elapsed: 0.003 s
% 0.19/0.52 % (32012)Instructions burned: 4 (million)
% 0.19/0.52 % (32012)------------------------------
% 0.19/0.52 % (32012)------------------------------
% 0.19/0.52 % (32016)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)
% 0.19/0.52 % (32036)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (32019)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)
% 0.19/0.52 % (32010)First to succeed.
% 0.19/0.52 % (32039)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)
% 0.19/0.52 % (32010)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (32010)------------------------------
% 0.19/0.52 % (32010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (32010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (32010)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (32010)Memory used [KB]: 6140
% 0.19/0.52 % (32010)Time elapsed: 0.123 s
% 0.19/0.52 % (32010)Instructions burned: 9 (million)
% 0.19/0.52 % (32010)------------------------------
% 0.19/0.52 % (32010)------------------------------
% 0.19/0.52 % (32004)Success in time 0.174 s
%------------------------------------------------------------------------------