TSTP Solution File: RNG046+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG046+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 : n010.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 18:14:34 EDT 2022
% Result : Theorem 0.15s 0.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 120 ( 36 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 120 ( 47 ~; 44 |; 20 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f770,plain,
$false,
inference(avatar_sat_refutation,[],[f432,f476,f481,f544,f755,f769]) ).
fof(f769,plain,
( ~ spl1_21
| ~ spl1_15
| spl1_36 ),
inference(avatar_split_clause,[],[f766,f677,f419,f469]) ).
fof(f469,plain,
( spl1_21
<=> aScalar0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
fof(f419,plain,
( spl1_15
<=> aScalar0(xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
fof(f677,plain,
( spl1_36
<=> sdtasdt0(xx,xy) = smndt0(smndt0(sdtasdt0(xx,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
fof(f766,plain,
( ~ aScalar0(xy)
| ~ aScalar0(xx)
| spl1_36 ),
inference(resolution,[],[f763,f84]) ).
fof(f84,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f763,plain,
( ~ aScalar0(sdtasdt0(xx,xy))
| spl1_36 ),
inference(trivial_inequality_removal,[],[f762]) ).
fof(f762,plain,
( ~ aScalar0(sdtasdt0(xx,xy))
| sdtasdt0(xx,xy) != sdtasdt0(xx,xy)
| spl1_36 ),
inference(superposition,[],[f679,f82]) ).
fof(f82,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ~ aScalar0(X0)
| ( smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,sz0z00) = X0
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sdtpldt0(sz0z00,X0) = X0
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sz0z00 = smndt0(sz0z00) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,sz0z00) = X0
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sdtpldt0(sz0z00,X0) = X0
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sz0z00 = smndt0(sz0z00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f679,plain,
( sdtasdt0(xx,xy) != smndt0(smndt0(sdtasdt0(xx,xy)))
| spl1_36 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f755,plain,
( ~ spl1_15
| ~ spl1_21
| ~ spl1_36
| spl1_22 ),
inference(avatar_split_clause,[],[f754,f473,f677,f469,f419]) ).
fof(f473,plain,
( spl1_22
<=> sdtasdt0(xx,xy) = smndt0(sdtasdt0(xx,smndt0(xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
fof(f754,plain,
( sdtasdt0(xx,xy) != smndt0(smndt0(sdtasdt0(xx,xy)))
| ~ aScalar0(xx)
| ~ aScalar0(xy)
| spl1_22 ),
inference(superposition,[],[f475,f59]) ).
fof(f59,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f475,plain,
( sdtasdt0(xx,xy) != smndt0(sdtasdt0(xx,smndt0(xy)))
| spl1_22 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f544,plain,
spl1_21,
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f543,plain,
( $false
| spl1_21 ),
inference(resolution,[],[f471,f62]) ).
fof(f62,plain,
aScalar0(xx),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( aScalar0(xx)
& aScalar0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f471,plain,
( ~ aScalar0(xx)
| spl1_21 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f481,plain,
( ~ spl1_15
| spl1_20 ),
inference(avatar_split_clause,[],[f480,f465,f419]) ).
fof(f465,plain,
( spl1_20
<=> aScalar0(smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
fof(f480,plain,
( ~ aScalar0(xy)
| spl1_20 ),
inference(resolution,[],[f467,f64]) ).
fof(f64,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f467,plain,
( ~ aScalar0(smndt0(xy))
| spl1_20 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f476,plain,
( ~ spl1_20
| ~ spl1_21
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f440,f473,f469,f465]) ).
fof(f440,plain,
( sdtasdt0(xx,xy) != smndt0(sdtasdt0(xx,smndt0(xy)))
| ~ aScalar0(xx)
| ~ aScalar0(smndt0(xy)) ),
inference(superposition,[],[f66,f60]) ).
fof(f60,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f66,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(flattening,[],[f20]) ).
fof(f20,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f432,plain,
spl1_15,
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| spl1_15 ),
inference(resolution,[],[f421,f61]) ).
fof(f61,plain,
aScalar0(xy),
inference(cnf_transformation,[],[f18]) ).
fof(f421,plain,
( ~ aScalar0(xy)
| spl1_15 ),
inference(avatar_component_clause,[],[f419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : RNG046+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 11:48:59 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.43 % (29185)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)
% 0.15/0.46 % (29202)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)
% 0.15/0.46 % (29194)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (29184)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)
% 0.15/0.47 % (29187)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)
% 0.15/0.47 % (29201)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)
% 0.15/0.47 % (29189)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)
% 0.15/0.47 % (29180)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)
% 0.15/0.47 % (29193)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)
% 0.15/0.47 % (29189)Refutation not found, incomplete strategy% (29189)------------------------------
% 0.15/0.47 % (29189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (29189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (29189)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.47
% 0.15/0.47 % (29189)Memory used [KB]: 6012
% 0.15/0.47 % (29189)Time elapsed: 0.117 s
% 0.15/0.47 % (29189)Instructions burned: 3 (million)
% 0.15/0.47 % (29189)------------------------------
% 0.15/0.47 % (29189)------------------------------
% 0.15/0.48 % (29188)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)
% 0.15/0.48 % (29193)Instruction limit reached!
% 0.15/0.48 % (29193)------------------------------
% 0.15/0.48 % (29193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (29193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (29193)Termination reason: Unknown
% 0.15/0.48 % (29193)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (29193)Memory used [KB]: 5884
% 0.15/0.48 % (29193)Time elapsed: 0.006 s
% 0.15/0.48 % (29193)Instructions burned: 3 (million)
% 0.15/0.48 % (29193)------------------------------
% 0.15/0.48 % (29193)------------------------------
% 0.15/0.48 % (29194)Instruction limit reached!
% 0.15/0.48 % (29194)------------------------------
% 0.15/0.48 % (29194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (29186)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)
% 0.15/0.49 % (29183)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)
% 0.15/0.49 % (29194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (29194)Termination reason: Unknown
% 0.15/0.49 % (29194)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (29194)Memory used [KB]: 6012
% 0.15/0.49 % (29194)Time elapsed: 0.067 s
% 0.15/0.49 % (29194)Instructions burned: 7 (million)
% 0.15/0.49 % (29194)------------------------------
% 0.15/0.49 % (29194)------------------------------
% 0.15/0.49 % (29201)First to succeed.
% 0.15/0.50 % (29182)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)
% 0.15/0.50 % (29181)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)
% 0.15/0.50 % (29179)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.15/0.50 % (29201)Refutation found. Thanks to Tanya!
% 0.15/0.50 % SZS status Theorem for theBenchmark
% 0.15/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50 % (29201)------------------------------
% 0.15/0.50 % (29201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (29201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (29201)Termination reason: Refutation
% 0.15/0.50
% 0.15/0.50 % (29201)Memory used [KB]: 6268
% 0.15/0.50 % (29201)Time elapsed: 0.126 s
% 0.15/0.50 % (29201)Instructions burned: 14 (million)
% 0.15/0.50 % (29201)------------------------------
% 0.15/0.50 % (29201)------------------------------
% 0.15/0.50 % (29178)Success in time 0.189 s
%------------------------------------------------------------------------------