TSTP Solution File: SEV517+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% 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 : n014.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 18:36:05 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 8 unt; 0 def)
% Number of atoms : 192 ( 18 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 223 ( 77 ~; 65 |; 57 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 140 ( 111 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f232,plain,
$false,
inference(subsumption_resolution,[],[f228,f141]) ).
fof(f141,plain,
~ member(sK3,sK2),
inference(resolution,[],[f109,f92]) ).
fof(f92,plain,
member(sK3,difference(sK1,sK2)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( partition(sK0,sK1)
& member(sK3,difference(sK1,sK2))
& ! [X4] :
( ~ member(X4,difference(sK0,singleton(sK2)))
| ~ member(sK3,X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f47,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2,X3] :
( partition(X0,X1)
& member(X3,difference(X1,X2))
& ! [X4] :
( ~ member(X4,difference(X0,singleton(X2)))
| ~ member(X3,X4) ) )
=> ( partition(sK0,sK1)
& member(sK3,difference(sK1,sK2))
& ! [X4] :
( ~ member(X4,difference(sK0,singleton(sK2)))
| ~ member(sK3,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2,X3] :
( partition(X0,X1)
& member(X3,difference(X1,X2))
& ! [X4] :
( ~ member(X4,difference(X0,singleton(X2)))
| ~ member(X3,X4) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
? [X3,X1,X2,X0] :
( partition(X3,X1)
& member(X0,difference(X1,X2))
& ! [X4] :
( ~ member(X4,difference(X3,singleton(X2)))
| ~ member(X0,X4) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X3,X2,X0,X1] :
( ! [X4] :
( ~ member(X4,difference(X3,singleton(X2)))
| ~ member(X0,X4) )
& partition(X3,X1)
& member(X0,difference(X1,X2)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X3,X2,X0,X1] :
( ( partition(X3,X1)
& member(X0,difference(X1,X2)) )
=> ? [X4] :
( member(X0,X4)
& member(X4,difference(X3,singleton(X2))) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X2,X0,X1,X10] :
( ( member(X2,difference(X0,X1))
& partition(X10,X0) )
=> ? [X11] :
( member(X11,difference(X10,singleton(X1)))
& member(X2,X11) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X2,X0,X1,X10] :
( ( member(X2,difference(X0,X1))
& partition(X10,X0) )
=> ? [X11] :
( member(X11,difference(X10,singleton(X1)))
& member(X2,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_elem_in_partition) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X2,X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) )
& ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X2,X0] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X1,X2,X0] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X0,X1] :
( ( member(X1,X3)
& ~ member(X1,X0) )
<=> member(X1,difference(X3,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference) ).
fof(f228,plain,
member(sK3,sK2),
inference(superposition,[],[f165,f210]) ).
fof(f210,plain,
sK2 = sK8(sK0,sK3),
inference(subsumption_resolution,[],[f209,f143]) ).
fof(f143,plain,
member(sK3,sK1),
inference(resolution,[],[f110,f92]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X2,X0))
| member(X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f209,plain,
( sK2 = sK8(sK0,sK3)
| ~ member(sK3,sK1) ),
inference(resolution,[],[f171,f195]) ).
fof(f195,plain,
! [X0] :
( member(sK8(sK0,X0),sK0)
| ~ member(X0,sK1) ),
inference(resolution,[],[f120,f93]) ).
fof(f93,plain,
partition(sK0,sK1),
inference(cnf_transformation,[],[f49]) ).
fof(f120,plain,
! [X0,X1,X6] :
( ~ partition(X1,X0)
| member(sK8(X1,X6),X1)
| ~ member(X6,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ partition(X1,X0)
| ( ! [X2] :
( ~ member(X2,X1)
| subset(X2,X0) )
& ! [X3,X4] :
( ~ member(X4,X1)
| ! [X5] :
( ~ member(X5,X4)
| ~ member(X5,X3) )
| ~ member(X3,X1)
| X3 = X4 )
& ! [X6] :
( ~ member(X6,X0)
| ( member(sK8(X1,X6),X1)
& member(X6,sK8(X1,X6)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f75,f76]) ).
fof(f76,plain,
! [X1,X6] :
( ? [X7] :
( member(X7,X1)
& member(X6,X7) )
=> ( member(sK8(X1,X6),X1)
& member(X6,sK8(X1,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ~ partition(X1,X0)
| ( ! [X2] :
( ~ member(X2,X1)
| subset(X2,X0) )
& ! [X3,X4] :
( ~ member(X4,X1)
| ! [X5] :
( ~ member(X5,X4)
| ~ member(X5,X3) )
| ~ member(X3,X1)
| X3 = X4 )
& ! [X6] :
( ~ member(X6,X0)
| ? [X7] :
( member(X7,X1)
& member(X6,X7) ) ) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ~ partition(X0,X1)
| ( ! [X5] :
( ~ member(X5,X0)
| subset(X5,X1) )
& ! [X3,X2] :
( ~ member(X2,X0)
| ! [X4] :
( ~ member(X4,X2)
| ~ member(X4,X3) )
| ~ member(X3,X0)
| X2 = X3 )
& ! [X6] :
( ~ member(X6,X1)
| ? [X7] :
( member(X7,X0)
& member(X6,X7) ) ) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( ! [X3,X2] :
( X2 = X3
| ! [X4] :
( ~ member(X4,X2)
| ~ member(X4,X3) )
| ~ member(X3,X0)
| ~ member(X2,X0) )
& ! [X6] :
( ~ member(X6,X1)
| ? [X7] :
( member(X7,X0)
& member(X6,X7) ) )
& ! [X5] :
( ~ member(X5,X0)
| subset(X5,X1) ) )
| ~ partition(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( partition(X0,X1)
=> ( ! [X3,X2] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( member(X7,X0)
& member(X6,X7) ) )
& ! [X5] :
( member(X5,X0)
=> subset(X5,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ( ! [X3,X2] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( member(X7,X0)
& member(X6,X7) ) )
& ! [X5] :
( member(X5,X0)
=> subset(X5,X1) ) )
<=> partition(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X3] :
( ( ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( ? [X5] :
( member(X5,X4)
& member(X5,X2) )
=> X2 = X4 ) )
& ! [X2] :
( member(X2,X0)
=> subset(X2,X3) )
& ! [X2] :
( member(X2,X3)
=> ? [X4] :
( member(X4,X0)
& member(X2,X4) ) ) )
<=> partition(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition) ).
fof(f171,plain,
( ~ member(sK8(sK0,sK3),sK0)
| sK2 = sK8(sK0,sK3) ),
inference(resolution,[],[f167,f165]) ).
fof(f167,plain,
! [X0] :
( ~ member(sK3,X0)
| ~ member(X0,sK0)
| sK2 = X0 ),
inference(resolution,[],[f159,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( X0 = X1
| ~ member(X0,singleton(X1)) )
& ( member(X0,singleton(X1))
| X0 != X1 ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ( X0 = X1
| ~ member(X1,singleton(X0)) )
& ( member(X1,singleton(X0))
| X0 != X1 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( X0 = X1
<=> member(X1,singleton(X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
fof(f159,plain,
! [X0] :
( member(X0,singleton(sK2))
| ~ member(X0,sK0)
| ~ member(sK3,X0) ),
inference(resolution,[],[f111,f91]) ).
fof(f91,plain,
! [X4] :
( ~ member(X4,difference(sK0,singleton(sK2)))
| ~ member(sK3,X4) ),
inference(cnf_transformation,[],[f49]) ).
fof(f111,plain,
! [X2,X0,X1] :
( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f165,plain,
member(sK3,sK8(sK0,sK3)),
inference(resolution,[],[f163,f143]) ).
fof(f163,plain,
! [X0] :
( ~ member(X0,sK1)
| member(X0,sK8(sK0,X0)) ),
inference(resolution,[],[f119,f93]) ).
fof(f119,plain,
! [X0,X1,X6] :
( ~ partition(X1,X0)
| ~ member(X6,X0)
| member(X6,sK8(X1,X6)) ),
inference(cnf_transformation,[],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 17:22:03 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.50 % (10651)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)
% 0.21/0.50 % (10642)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)
% 0.21/0.51 % (10634)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)
% 0.21/0.51 % (10635)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.52 TRYING [3]
% 0.21/0.53 % (10649)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)
% 0.21/0.53 % (10654)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53 % (10631)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)
% 0.21/0.53 % (10630)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)
% 0.21/0.53 % (10656)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)
% 0.21/0.53 % (10640)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (10658)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)
% 0.21/0.53 % (10628)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)
% 0.21/0.53 % (10632)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (10629)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)
% 0.21/0.53 % (10630)First to succeed.
% 0.21/0.53 % (10633)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)
% 0.21/0.53 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (10636)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (10630)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (10630)------------------------------
% 0.21/0.54 % (10630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (10630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (10630)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (10630)Memory used [KB]: 1151
% 0.21/0.54 % (10630)Time elapsed: 0.133 s
% 0.21/0.54 % (10630)Instructions burned: 8 (million)
% 0.21/0.54 % (10630)------------------------------
% 0.21/0.54 % (10630)------------------------------
% 0.21/0.54 % (10627)Success in time 0.179 s
%------------------------------------------------------------------------------