TSTP Solution File: SET947+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n028.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 18:26:10 EDT 2022
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 111 ( 10 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 120 ( 45 ~; 45 |; 19 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 58 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f132,plain,
$false,
inference(subsumption_resolution,[],[f131,f49]) ).
fof(f49,plain,
~ subset(sK2,sF6),
inference(definition_folding,[],[f37,f48,f47]) ).
fof(f47,plain,
union(sK2) = sF5,
introduced(function_definition,[]) ).
fof(f48,plain,
sF6 = powerset(sF5),
introduced(function_definition,[]) ).
fof(f37,plain,
~ subset(sK2,powerset(union(sK2))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
~ subset(sK2,powerset(union(sK2))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f14,f23]) ).
fof(f23,plain,
( ? [X0] : ~ subset(X0,powerset(union(X0)))
=> ~ subset(sK2,powerset(union(sK2))) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0] : ~ subset(X0,powerset(union(X0))),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0] : subset(X0,powerset(union(X0))),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0] : subset(X0,powerset(union(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_zfmisc_1) ).
fof(f131,plain,
subset(sK2,sF6),
inference(duplicate_literal_removal,[],[f128]) ).
fof(f128,plain,
( subset(sK2,sF6)
| subset(sK2,sF6) ),
inference(resolution,[],[f118,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( in(sK3(X0,X1),X1)
& ~ in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) )
=> ( in(sK3(X0,X1),X1)
& ~ in(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f118,plain,
! [X2] :
( in(sK3(X2,sK2),sF6)
| subset(sK2,X2) ),
inference(forward_demodulation,[],[f117,f48]) ).
fof(f117,plain,
! [X2] :
( in(sK3(X2,sK2),powerset(sF5))
| subset(sK2,X2) ),
inference(resolution,[],[f99,f45]) ).
fof(f45,plain,
! [X2,X1] :
( ~ subset(X2,X1)
| in(X2,powerset(X1)) ),
inference(equality_resolution,[],[f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( in(X2,X0)
| ~ subset(X2,X1)
| powerset(X1) != X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| ~ subset(X2,X1) )
& ( subset(X2,X1)
| ~ in(X2,X0) ) )
| powerset(X1) != X0 )
& ( powerset(X1) = X0
| ( ( ~ subset(sK1(X0,X1),X1)
| ~ in(sK1(X0,X1),X0) )
& ( subset(sK1(X0,X1),X1)
| in(sK1(X0,X1),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f20,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ subset(X3,X1)
| ~ in(X3,X0) )
& ( subset(X3,X1)
| in(X3,X0) ) )
=> ( ( ~ subset(sK1(X0,X1),X1)
| ~ in(sK1(X0,X1),X0) )
& ( subset(sK1(X0,X1),X1)
| in(sK1(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| ~ subset(X2,X1) )
& ( subset(X2,X1)
| ~ in(X2,X0) ) )
| powerset(X1) != X0 )
& ( powerset(X1) = X0
| ? [X3] :
( ( ~ subset(X3,X1)
| ~ in(X3,X0) )
& ( subset(X3,X1)
| in(X3,X0) ) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 )
& ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) )
<=> powerset(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f99,plain,
! [X0] :
( subset(sK3(X0,sK2),sF5)
| subset(sK2,X0) ),
inference(superposition,[],[f60,f47]) ).
fof(f60,plain,
! [X2,X1] :
( subset(sK3(X2,X1),union(X1))
| subset(X1,X2) ),
inference(resolution,[],[f42,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ in(X1,X0)
| subset(X1,union(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ in(X1,X0)
| subset(X1,union(X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).
fof(f42,plain,
! [X0,X1] :
( in(sK3(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 14:41:03 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.45 % (30438)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.45 % (30455)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 (3000ds/467Mi)
% 0.15/0.45 % (30447)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 (3000ds/75Mi)
% 0.15/0.46 % (30454)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 (3000ds/498Mi)
% 0.15/0.46 TRYING [1]
% 0.15/0.46 TRYING [2]
% 0.15/0.46 TRYING [3]
% 0.15/0.46 TRYING [4]
% 0.15/0.47 % (30447)First to succeed.
% 0.15/0.47 % (30439)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.15/0.47 % (30446)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 (3000ds/68Mi)
% 0.15/0.47 % (30447)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (30447)------------------------------
% 0.15/0.47 % (30447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (30447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (30447)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (30447)Memory used [KB]: 1023
% 0.15/0.47 % (30447)Time elapsed: 0.066 s
% 0.15/0.47 % (30447)Instructions burned: 5 (million)
% 0.15/0.47 % (30447)------------------------------
% 0.15/0.47 % (30447)------------------------------
% 0.15/0.47 % (30431)Success in time 0.16 s
%------------------------------------------------------------------------------