TSTP Solution File: RNG105+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG105+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_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 18:15:51 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 135 ( 32 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 140 ( 51 ~; 43 |; 38 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 40 ( 28 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f375,plain,
$false,
inference(avatar_sat_refutation,[],[f309,f340,f372,f374]) ).
fof(f374,plain,
spl24_9,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| spl24_9 ),
inference(unit_resulting_resolution,[],[f247,f289,f370,f281]) ).
fof(f281,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ~ aElement0(X1)
| aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
( ~ aElement0(X0)
| aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f370,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| spl24_9 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl24_9
<=> aElement0(sdtasdt0(xu,xz)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).
fof(f289,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1956) ).
fof(f247,plain,
aElement0(xz),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( aElementOf0(xx,slsdtgt0(xc))
& aElement0(xz)
& aElement0(sK13)
& xx = sdtasdt0(xc,sK13)
& aElement0(sK14)
& xy = sdtasdt0(xc,sK14)
& aElementOf0(xy,slsdtgt0(xc)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f47,f155,f154]) ).
fof(f154,plain,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xx )
=> ( aElement0(sK13)
& xx = sdtasdt0(xc,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
( ? [X1] :
( aElement0(X1)
& xy = sdtasdt0(xc,X1) )
=> ( aElement0(sK14)
& xy = sdtasdt0(xc,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( aElementOf0(xx,slsdtgt0(xc))
& aElement0(xz)
& ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xx )
& ? [X1] :
( aElement0(X1)
& xy = sdtasdt0(xc,X1) )
& aElementOf0(xy,slsdtgt0(xc)) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
( aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz)
& ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xx )
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).
fof(f372,plain,
( ~ spl24_9
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f361,f307,f368]) ).
fof(f307,plain,
( spl24_2
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtasdt0(xz,xx) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f361,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| ~ spl24_2 ),
inference(trivial_inequality_removal,[],[f359]) ).
fof(f359,plain,
( sdtasdt0(xz,xx) != sdtasdt0(xz,xx)
| ~ aElement0(sdtasdt0(xu,xz))
| ~ spl24_2 ),
inference(superposition,[],[f308,f190]) ).
fof(f190,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2043) ).
fof(f308,plain,
( ! [X0] :
( sdtasdt0(xc,X0) != sdtasdt0(xz,xx)
| ~ aElement0(X0) )
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f340,plain,
~ spl24_1,
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| ~ spl24_1 ),
inference(unit_resulting_resolution,[],[f289,f221,f338,f273]) ).
fof(f273,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f338,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ spl24_1 ),
inference(trivial_inequality_removal,[],[f336]) ).
fof(f336,plain,
( sdtpldt0(xx,xy) != sdtpldt0(xx,xy)
| ~ aElement0(sdtpldt0(xu,xv))
| ~ spl24_1 ),
inference(superposition,[],[f305,f185]) ).
fof(f185,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2010) ).
fof(f305,plain,
( ! [X1] :
( sdtpldt0(xx,xy) != sdtasdt0(xc,X1)
| ~ aElement0(X1) )
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl24_1
<=> ! [X1] :
( sdtpldt0(xx,xy) != sdtasdt0(xc,X1)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f221,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( aElement0(xv)
& xy = sdtasdt0(xc,xv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1979) ).
fof(f309,plain,
( spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f225,f307,f304]) ).
fof(f225,plain,
! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(xx,xy) != sdtasdt0(xc,X1)
| sdtasdt0(xc,X0) != sdtasdt0(xz,xx)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtasdt0(xz,xx) )
& ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) )
| ( ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
& ! [X1] :
( ~ aElement0(X1)
| sdtpldt0(xx,xy) != sdtasdt0(xc,X1) ) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtasdt0(xz,xx)
& aElement0(X0) ) )
& ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ? [X1] :
( aElement0(X1)
& sdtpldt0(xx,xy) = sdtasdt0(xc,X1) ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtasdt0(xz,xx)
& aElement0(X0) ) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X0] :
( sdtasdt0(xc,X0) = sdtasdt0(xz,xx)
& aElement0(X0) ) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG105+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 12:12:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.48 % (755)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (775)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)
% 0.18/0.50 % (755)Instruction limit reached!
% 0.18/0.50 % (755)------------------------------
% 0.18/0.50 % (755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (755)Termination reason: Unknown
% 0.18/0.50 % (755)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (755)Memory used [KB]: 5628
% 0.18/0.50 % (755)Time elapsed: 0.102 s
% 0.18/0.50 % (755)Instructions burned: 7 (million)
% 0.18/0.50 % (755)------------------------------
% 0.18/0.50 % (755)------------------------------
% 0.18/0.50 % (748)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)
% 0.18/0.51 % (761)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 TRYING [1]
% 0.18/0.51 TRYING [2]
% 0.18/0.51 % (769)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)
% 0.18/0.52 % (782)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)
% 0.18/0.52 % (780)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)
% 0.18/0.52 % (778)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)
% 0.18/0.52 % (749)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)
% 0.18/0.52 % (753)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)
% 0.18/0.52 % (752)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (751)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)
% 0.18/0.52 % (758)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)
% 0.18/0.52 % (756)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (763)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)
% 0.18/0.52 % (756)Instruction limit reached!
% 0.18/0.52 % (756)------------------------------
% 0.18/0.52 % (756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (756)Termination reason: Unknown
% 0.18/0.52 % (756)Termination phase: Preprocessing 2
% 0.18/0.52
% 0.18/0.52 % (756)Memory used [KB]: 895
% 0.18/0.52 % (756)Time elapsed: 0.002 s
% 0.18/0.52 % (756)Instructions burned: 2 (million)
% 0.18/0.52 % (756)------------------------------
% 0.18/0.52 % (756)------------------------------
% 0.18/0.52 % (774)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)
% 0.18/0.53 % (776)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53 % (777)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53 % (771)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53 % (767)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (768)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)
% 0.18/0.53 % (754)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)
% 0.18/0.53 TRYING [3]
% 0.18/0.53 % (765)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)
% 0.18/0.53 % (781)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.54 % (762)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54 % (760)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)
% 0.18/0.54 % (766)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54 % (759)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54 % (750)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)
% 0.18/0.54 % (749)First to succeed.
% 0.18/0.54 % (749)Refutation found. Thanks to Tanya!
% 0.18/0.54 % SZS status Theorem for theBenchmark
% 0.18/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54 % (749)------------------------------
% 0.18/0.54 % (749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (749)Termination reason: Refutation
% 0.18/0.54
% 0.18/0.54 % (749)Memory used [KB]: 5756
% 0.18/0.54 % (749)Time elapsed: 0.146 s
% 0.18/0.54 % (749)Instructions burned: 10 (million)
% 0.18/0.54 % (749)------------------------------
% 0.18/0.54 % (749)------------------------------
% 0.18/0.54 % (747)Success in time 0.199 s
%------------------------------------------------------------------------------