TSTP Solution File: SEU169+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU169+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n001.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 18:32:18 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 216 ( 25 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 257 ( 87 ~; 88 |; 54 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 102 ( 87 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f868,plain,
$false,
inference(subsumption_resolution,[],[f863,f457]) ).
fof(f457,plain,
~ in(sK20,sK19),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
( element(sK18,powerset(sK19))
& in(sK20,sK18)
& ~ in(sK20,sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f193,f302,f301]) ).
fof(f301,plain,
( ? [X0,X1] :
( element(X0,powerset(X1))
& ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
=> ( element(sK18,powerset(sK19))
& ? [X2] :
( in(X2,sK18)
& ~ in(X2,sK19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
( ? [X2] :
( in(X2,sK18)
& ~ in(X2,sK19) )
=> ( in(sK20,sK18)
& ~ in(sK20,sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
? [X0,X1] :
( element(X0,powerset(X1))
& ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ),
inference(ennf_transformation,[],[f140]) ).
fof(f140,plain,
~ ! [X0,X1] :
( element(X0,powerset(X1))
=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
inference(rectify,[],[f48]) ).
fof(f48,negated_conjecture,
~ ! [X1,X0] :
( element(X1,powerset(X0))
=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
inference(negated_conjecture,[],[f47]) ).
fof(f47,conjecture,
! [X1,X0] :
( element(X1,powerset(X0))
=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).
fof(f863,plain,
in(sK20,sK19),
inference(superposition,[],[f843,f829]) ).
fof(f829,plain,
sK19 = set_union2(sK18,sK19),
inference(resolution,[],[f824,f493]) ).
fof(f493,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f325]) ).
fof(f325,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
! [X1,X0] :
( set_union2(X1,X0) = X0
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f155]) ).
fof(f155,plain,
! [X1,X0] :
( subset(X1,X0)
=> set_union2(X1,X0) = X0 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X1,X0] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f824,plain,
subset(sK18,sK19),
inference(resolution,[],[f823,f589]) ).
fof(f589,plain,
! [X3,X1] :
( ~ in(X3,powerset(X1))
| subset(X3,X1) ),
inference(equality_resolution,[],[f415]) ).
fof(f415,plain,
! [X3,X0,X1] :
( subset(X3,X1)
| ~ in(X3,X0)
| powerset(X1) != X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0,X1] :
( ( powerset(X1) = X0
| ( ( ~ in(sK10(X0,X1),X0)
| ~ subset(sK10(X0,X1),X1) )
& ( in(sK10(X0,X1),X0)
| subset(sK10(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( subset(X3,X1)
| ~ in(X3,X0) )
& ( in(X3,X0)
| ~ subset(X3,X1) ) )
| powerset(X1) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f272,f273]) ).
fof(f273,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X0)
| ~ subset(X2,X1) )
& ( in(X2,X0)
| subset(X2,X1) ) )
=> ( ( ~ in(sK10(X0,X1),X0)
| ~ subset(sK10(X0,X1),X1) )
& ( in(sK10(X0,X1),X0)
| subset(sK10(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f272,plain,
! [X0,X1] :
( ( powerset(X1) = X0
| ? [X2] :
( ( ~ in(X2,X0)
| ~ subset(X2,X1) )
& ( in(X2,X0)
| subset(X2,X1) ) ) )
& ( ! [X3] :
( ( subset(X3,X1)
| ~ in(X3,X0) )
& ( in(X3,X0)
| ~ subset(X3,X1) ) )
| powerset(X1) != X0 ) ),
inference(rectify,[],[f271]) ).
fof(f271,plain,
! [X1,X0] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ subset(X2,X0) )
& ( in(X2,X1)
| subset(X2,X0) ) ) )
& ( ! [X2] :
( ( subset(X2,X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ~ subset(X2,X0) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( powerset(X0) = X1
<=> ! [X2] :
( subset(X2,X0)
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f823,plain,
in(sK18,powerset(sK19)),
inference(subsumption_resolution,[],[f818,f477]) ).
fof(f477,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f818,plain,
( in(sK18,powerset(sK19))
| empty(powerset(sK19)) ),
inference(resolution,[],[f450,f459]) ).
fof(f459,plain,
element(sK18,powerset(sK19)),
inference(cnf_transformation,[],[f303]) ).
fof(f450,plain,
! [X0,X1] :
( ~ element(X1,X0)
| in(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0,X1] :
( ( ( ( in(X1,X0)
| ~ element(X1,X0) )
& ( element(X1,X0)
| ~ in(X1,X0) ) )
| empty(X0) )
& ( ( ( empty(X1)
| ~ element(X1,X0) )
& ( element(X1,X0)
| ~ empty(X1) ) )
| ~ empty(X0) ) ),
inference(rectify,[],[f294]) ).
fof(f294,plain,
! [X1,X0] :
( ( ( ( in(X0,X1)
| ~ element(X0,X1) )
& ( element(X0,X1)
| ~ in(X0,X1) ) )
| empty(X1) )
& ( ( ( empty(X0)
| ~ element(X0,X1) )
& ( element(X0,X1)
| ~ empty(X0) ) )
| ~ empty(X1) ) ),
inference(nnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X1,X0] :
( ( ( in(X0,X1)
<=> element(X0,X1) )
| empty(X1) )
& ( ( empty(X0)
<=> element(X0,X1) )
| ~ empty(X1) ) ),
inference(ennf_transformation,[],[f141]) ).
fof(f141,plain,
! [X1,X0] :
( ( ~ empty(X1)
=> ( in(X0,X1)
<=> element(X0,X1) ) )
& ( empty(X1)
=> ( empty(X0)
<=> element(X0,X1) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( ( ~ empty(X0)
=> ( element(X1,X0)
<=> in(X1,X0) ) )
& ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f843,plain,
! [X22] : in(sK20,set_union2(sK18,X22)),
inference(resolution,[],[f577,f458]) ).
fof(f458,plain,
in(sK20,sK18),
inference(cnf_transformation,[],[f303]) ).
fof(f577,plain,
! [X2,X0,X4] :
( ~ in(X4,X2)
| in(X4,set_union2(X2,X0)) ),
inference(equality_resolution,[],[f375]) ).
fof(f375,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_union2(X2,X0) != X1 ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ( set_union2(X2,X0) = X1
| ( ( ( ~ in(sK3(X0,X1,X2),X2)
& ~ in(sK3(X0,X1,X2),X0) )
| ~ in(sK3(X0,X1,X2),X1) )
& ( in(sK3(X0,X1,X2),X2)
| in(sK3(X0,X1,X2),X0)
| in(sK3(X0,X1,X2),X1) ) ) )
& ( ! [X4] :
( ( in(X4,X1)
| ( ~ in(X4,X2)
& ~ in(X4,X0) ) )
& ( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1) ) )
| set_union2(X2,X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f238,f239]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X2)
& ~ in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X2)
| in(X3,X0)
| in(X3,X1) ) )
=> ( ( ( ~ in(sK3(X0,X1,X2),X2)
& ~ in(sK3(X0,X1,X2),X0) )
| ~ in(sK3(X0,X1,X2),X1) )
& ( in(sK3(X0,X1,X2),X2)
| in(sK3(X0,X1,X2),X0)
| in(sK3(X0,X1,X2),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ( set_union2(X2,X0) = X1
| ? [X3] :
( ( ( ~ in(X3,X2)
& ~ in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X2)
| in(X3,X0)
| in(X3,X1) ) ) )
& ( ! [X4] :
( ( in(X4,X1)
| ( ~ in(X4,X2)
& ~ in(X4,X0) ) )
& ( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1) ) )
| set_union2(X2,X0) != X1 ) ),
inference(rectify,[],[f237]) ).
fof(f237,plain,
! [X2,X1,X0] :
( ( set_union2(X0,X2) = X1
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X0)
| in(X3,X2)
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ( ~ in(X3,X0)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X2)
| ~ in(X3,X1) ) )
| set_union2(X0,X2) != X1 ) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X2,X1,X0] :
( ( set_union2(X0,X2) = X1
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X0)
| in(X3,X2)
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ( ~ in(X3,X0)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X2)
| ~ in(X3,X1) ) )
| set_union2(X0,X2) != X1 ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X2,X1,X0] :
( set_union2(X0,X2) = X1
<=> ! [X3] :
( in(X3,X1)
<=> ( in(X3,X0)
| in(X3,X2) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X2,X1] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU169+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.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 15:07:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (5961)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)
% 0.19/0.46 % (5982)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)
% 0.19/0.47 % (5974)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)
% 0.19/0.48 % (5985)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)
% 0.19/0.48 % (5969)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)
% 0.19/0.49 % (5965)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (5977)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (5970)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (5981)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)
% 0.19/0.50 % (5965)Instruction limit reached!
% 0.19/0.50 % (5965)------------------------------
% 0.19/0.50 % (5965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (5965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (5965)Termination reason: Unknown
% 0.19/0.50 % (5965)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (5965)Memory used [KB]: 5756
% 0.19/0.50 % (5965)Time elapsed: 0.009 s
% 0.19/0.50 % (5965)Instructions burned: 9 (million)
% 0.19/0.50 % (5965)------------------------------
% 0.19/0.50 % (5965)------------------------------
% 0.19/0.50 % (5959)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)
% 0.19/0.51 % (5971)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (5967)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)
% 0.19/0.51 % (5982)First to succeed.
% 0.19/0.51 % (5960)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)
% 0.19/0.51 % (5984)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (5974)Also succeeded, but the first one will report.
% 0.19/0.51 % (5958)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)
% 0.19/0.52 % (5982)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 % (5982)------------------------------
% 0.19/0.52 % (5982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (5982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (5982)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (5982)Memory used [KB]: 6012
% 0.19/0.52 % (5982)Time elapsed: 0.103 s
% 0.19/0.52 % (5982)Instructions burned: 25 (million)
% 0.19/0.52 % (5982)------------------------------
% 0.19/0.52 % (5982)------------------------------
% 0.19/0.52 % (5956)Success in time 0.171 s
%------------------------------------------------------------------------------