TSTP Solution File: SEV517+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n006.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 18:35:30 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 7 unt; 0 def)
% Number of atoms : 195 ( 17 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 227 ( 79 ~; 67 |; 57 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 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 : 139 ( 110 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(subsumption_resolution,[],[f185,f91]) ).
fof(f91,plain,
~ member(sK3,sK2),
inference(resolution,[],[f63,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X2,X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ( member(X0,X1)
& ~ member(X0,X2) )
<=> member(X0,difference(X1,X2)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X3,X0] :
( ( ~ member(X1,X0)
& member(X1,X3) )
<=> member(X1,difference(X3,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference) ).
fof(f63,plain,
member(sK3,difference(sK0,sK2)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( member(sK3,difference(sK0,sK2))
& ! [X4] :
( ~ member(X4,difference(sK1,singleton(sK2)))
| ~ member(sK3,X4) )
& partition(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f39,f40]) ).
fof(f40,plain,
( ? [X0,X1,X2,X3] :
( member(X3,difference(X0,X2))
& ! [X4] :
( ~ member(X4,difference(X1,singleton(X2)))
| ~ member(X3,X4) )
& partition(X1,X0) )
=> ( member(sK3,difference(sK0,sK2))
& ! [X4] :
( ~ member(X4,difference(sK1,singleton(sK2)))
| ~ member(sK3,X4) )
& partition(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0,X1,X2,X3] :
( member(X3,difference(X0,X2))
& ! [X4] :
( ~ member(X4,difference(X1,singleton(X2)))
| ~ member(X3,X4) )
& partition(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
? [X3,X2,X0,X1] :
( member(X1,difference(X3,X0))
& ! [X4] :
( ~ member(X4,difference(X2,singleton(X0)))
| ~ member(X1,X4) )
& partition(X2,X3) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
? [X0,X3,X1,X2] :
( ! [X4] :
( ~ member(X4,difference(X2,singleton(X0)))
| ~ member(X1,X4) )
& partition(X2,X3)
& member(X1,difference(X3,X0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X0,X3,X1,X2] :
( ( partition(X2,X3)
& member(X1,difference(X3,X0)) )
=> ? [X4] :
( member(X1,X4)
& member(X4,difference(X2,singleton(X0))) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X1,X2,X10,X0] :
( ( member(X2,difference(X0,X1))
& partition(X10,X0) )
=> ? [X11] :
( member(X2,X11)
& member(X11,difference(X10,singleton(X1))) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X1,X2,X10,X0] :
( ( member(X2,difference(X0,X1))
& partition(X10,X0) )
=> ? [X11] :
( member(X2,X11)
& member(X11,difference(X10,singleton(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_elem_in_partition) ).
fof(f185,plain,
member(sK3,sK2),
inference(subsumption_resolution,[],[f181,f92]) ).
fof(f92,plain,
member(sK3,sK0),
inference(resolution,[],[f63,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X2,X0))
| member(X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f181,plain,
( ~ member(sK3,sK0)
| member(sK3,sK2) ),
inference(superposition,[],[f88,f175]) ).
fof(f175,plain,
sK7(sK1,sK3) = sK2,
inference(subsumption_resolution,[],[f172,f92]) ).
fof(f172,plain,
( sK7(sK1,sK3) = sK2
| ~ member(sK3,sK0) ),
inference(resolution,[],[f168,f89]) ).
fof(f89,plain,
! [X2] :
( member(sK7(sK1,X2),sK1)
| ~ member(X2,sK0) ),
inference(resolution,[],[f61,f77]) ).
fof(f77,plain,
! [X3,X0,X1] :
( ~ partition(X0,X1)
| ~ member(X3,X1)
| member(sK7(X0,X3),X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| subset(X2,X1) )
& ! [X3] :
( ( member(X3,sK7(X0,X3))
& member(sK7(X0,X3),X0) )
| ~ member(X3,X1) )
& ! [X5,X6] :
( ~ member(X5,X0)
| ~ member(X6,X0)
| ! [X7] :
( ~ member(X7,X5)
| ~ member(X7,X6) )
| X5 = X6 ) )
| ~ partition(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f54,f55]) ).
fof(f55,plain,
! [X0,X3] :
( ? [X4] :
( member(X3,X4)
& member(X4,X0) )
=> ( member(X3,sK7(X0,X3))
& member(sK7(X0,X3),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| subset(X2,X1) )
& ! [X3] :
( ? [X4] :
( member(X3,X4)
& member(X4,X0) )
| ~ member(X3,X1) )
& ! [X5,X6] :
( ~ member(X5,X0)
| ~ member(X6,X0)
| ! [X7] :
( ~ member(X7,X5)
| ~ member(X7,X6) )
| X5 = X6 ) )
| ~ partition(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( ! [X7] :
( ~ member(X7,X1)
| subset(X7,X0) )
& ! [X2] :
( ? [X3] :
( member(X2,X3)
& member(X3,X1) )
| ~ member(X2,X0) )
& ! [X4,X5] :
( ~ member(X4,X1)
| ~ member(X5,X1)
| ! [X6] :
( ~ member(X6,X4)
| ~ member(X6,X5) )
| X4 = X5 ) )
| ~ partition(X1,X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( ! [X7] :
( ~ member(X7,X1)
| subset(X7,X0) )
& ! [X2] :
( ? [X3] :
( member(X2,X3)
& member(X3,X1) )
| ~ member(X2,X0) )
& ! [X4,X5] :
( X4 = X5
| ! [X6] :
( ~ member(X6,X4)
| ~ member(X6,X5) )
| ~ member(X4,X1)
| ~ member(X5,X1) ) )
| ~ partition(X1,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( partition(X1,X0)
=> ( ! [X7] :
( member(X7,X1)
=> subset(X7,X0) )
& ! [X2] :
( member(X2,X0)
=> ? [X3] :
( member(X2,X3)
& member(X3,X1) ) )
& ! [X4,X5] :
( ( member(X4,X1)
& member(X5,X1) )
=> ( ? [X6] :
( member(X6,X5)
& member(X6,X4) )
=> X4 = X5 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( partition(X1,X0)
<=> ( ! [X7] :
( member(X7,X1)
=> subset(X7,X0) )
& ! [X2] :
( member(X2,X0)
=> ? [X3] :
( member(X2,X3)
& member(X3,X1) ) )
& ! [X4,X5] :
( ( member(X4,X1)
& member(X5,X1) )
=> ( ? [X6] :
( member(X6,X5)
& member(X6,X4) )
=> X4 = X5 ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X0] :
( partition(X0,X3)
<=> ( ! [X2] :
( member(X2,X3)
=> ? [X4] :
( member(X2,X4)
& member(X4,X0) ) )
& ! [X4,X2] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( ? [X5] :
( member(X5,X4)
& member(X5,X2) )
=> X2 = X4 ) )
& ! [X2] :
( member(X2,X0)
=> subset(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition) ).
fof(f61,plain,
partition(sK1,sK0),
inference(cnf_transformation,[],[f41]) ).
fof(f168,plain,
( ~ member(sK7(sK1,sK3),sK1)
| sK7(sK1,sK3) = sK2 ),
inference(resolution,[],[f124,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( member(X1,singleton(X0))
| X0 != X1 )
& ( X0 = X1
| ~ member(X1,singleton(X0)) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ( member(X0,singleton(X1))
| X0 != X1 )
& ( X0 = X1
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
fof(f124,plain,
( member(sK7(sK1,sK3),singleton(sK2))
| ~ member(sK7(sK1,sK3),sK1) ),
inference(subsumption_resolution,[],[f123,f92]) ).
fof(f123,plain,
( ~ member(sK3,sK0)
| ~ member(sK7(sK1,sK3),sK1)
| member(sK7(sK1,sK3),singleton(sK2)) ),
inference(resolution,[],[f95,f88]) ).
fof(f95,plain,
! [X0] :
( ~ member(sK3,X0)
| ~ member(X0,sK1)
| member(X0,singleton(sK2)) ),
inference(resolution,[],[f62,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( member(X1,difference(X2,X0))
| member(X1,X0)
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f62,plain,
! [X4] :
( ~ member(X4,difference(sK1,singleton(sK2)))
| ~ member(sK3,X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f88,plain,
! [X1] :
( member(X1,sK7(sK1,X1))
| ~ member(X1,sK0) ),
inference(resolution,[],[f61,f78]) ).
fof(f78,plain,
! [X3,X0,X1] :
( ~ partition(X0,X1)
| ~ member(X3,X1)
| member(X3,sK7(X0,X3)) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n006.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 17:20:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.47 % (28114)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)
% 0.20/0.47 % (28131)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48 % (28123)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48 % (28105)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.49 % (28130)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)
% 0.20/0.49 % (28121)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)
% 0.20/0.49 % (28109)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)
% 0.20/0.49 % (28113)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)
% 0.20/0.50 % (28115)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)
% 0.20/0.50 % (28107)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)
% 0.20/0.50 % (28107)Instruction limit reached!
% 0.20/0.50 % (28107)------------------------------
% 0.20/0.50 % (28107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28107)Termination reason: Unknown
% 0.20/0.50 % (28107)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (28107)Memory used [KB]: 1535
% 0.20/0.50 % (28107)Time elapsed: 0.002 s
% 0.20/0.50 % (28107)Instructions burned: 3 (million)
% 0.20/0.50 % (28107)------------------------------
% 0.20/0.50 % (28107)------------------------------
% 0.20/0.50 % (28108)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)
% 0.20/0.50 % (28121)Instruction limit reached!
% 0.20/0.50 % (28121)------------------------------
% 0.20/0.50 % (28121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28121)Termination reason: Unknown
% 0.20/0.50 % (28121)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (28121)Memory used [KB]: 6140
% 0.20/0.50 % (28121)Time elapsed: 0.066 s
% 0.20/0.50 % (28121)Instructions burned: 8 (million)
% 0.20/0.50 % (28121)------------------------------
% 0.20/0.50 % (28121)------------------------------
% 0.20/0.50 % (28110)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)
% 0.20/0.50 % (28106)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)
% 0.20/0.50 % (28130)First to succeed.
% 0.20/0.51 % (28130)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (28130)------------------------------
% 0.20/0.51 % (28130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28130)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (28130)Memory used [KB]: 1663
% 0.20/0.51 % (28130)Time elapsed: 0.068 s
% 0.20/0.51 % (28130)Instructions burned: 8 (million)
% 0.20/0.51 % (28130)------------------------------
% 0.20/0.51 % (28130)------------------------------
% 0.20/0.51 % (28102)Success in time 0.165 s
%------------------------------------------------------------------------------