TSTP Solution File: SEU020+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU020+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 : n003.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 18:31:45 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 20 unt; 3 typ; 0 def)
% Number of atoms : 182 ( 24 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 226 ( 93 ~; 80 |; 41 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 28 !; 10 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_10,type,
sQ12_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_11,type,
sQ13_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_12,type,
sQ14_eqProxy: ( $real * $real ) > $o ).
fof(f350,plain,
$false,
inference(subsumption_resolution,[],[f341,f334]) ).
fof(f334,plain,
~ subset(relation_rng(sK6),relation_dom(sK7)),
inference(subsumption_resolution,[],[f333,f208]) ).
fof(f208,plain,
function(sK7),
inference(literal_reordering,[],[f151]) ).
fof(f151,plain,
function(sK7),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ~ one_to_one(sK6)
& relation(sK6)
& function(sK6)
& relation(sK7)
& function(sK7)
& relation_composition(sK6,sK7) = identity_relation(relation_dom(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f54,f106,f105]) ).
fof(f105,plain,
( ? [X0] :
( ~ one_to_one(X0)
& relation(X0)
& function(X0)
& ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) ) )
=> ( ~ one_to_one(sK6)
& relation(sK6)
& function(sK6)
& ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(sK6,X1) = identity_relation(relation_dom(sK6)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(sK6,X1) = identity_relation(relation_dom(sK6)) )
=> ( relation(sK7)
& function(sK7)
& relation_composition(sK6,sK7) = identity_relation(relation_dom(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0] :
( ~ one_to_one(X0)
& relation(X0)
& function(X0)
& ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0] :
( ~ one_to_one(X0)
& ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
=> one_to_one(X0) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
=> one_to_one(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_funct_1) ).
fof(f333,plain,
( ~ function(sK7)
| ~ subset(relation_rng(sK6),relation_dom(sK7)) ),
inference(subsumption_resolution,[],[f332,f222]) ).
fof(f222,plain,
! [X0] : one_to_one(identity_relation(X0)),
inference(literal_reordering,[],[f160]) ).
fof(f160,plain,
! [X0] : one_to_one(identity_relation(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : one_to_one(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_funct_1) ).
fof(f332,plain,
( ~ one_to_one(identity_relation(relation_dom(sK6)))
| ~ function(sK7)
| ~ subset(relation_rng(sK6),relation_dom(sK7)) ),
inference(subsumption_resolution,[],[f331,f209]) ).
fof(f209,plain,
function(sK6),
inference(literal_reordering,[],[f153]) ).
fof(f153,plain,
function(sK6),
inference(cnf_transformation,[],[f107]) ).
fof(f331,plain,
( ~ function(sK6)
| ~ subset(relation_rng(sK6),relation_dom(sK7))
| ~ one_to_one(identity_relation(relation_dom(sK6)))
| ~ function(sK7) ),
inference(subsumption_resolution,[],[f330,f188]) ).
fof(f188,plain,
relation(sK7),
inference(literal_reordering,[],[f152]) ).
fof(f152,plain,
relation(sK7),
inference(cnf_transformation,[],[f107]) ).
fof(f330,plain,
( ~ relation(sK7)
| ~ function(sK6)
| ~ one_to_one(identity_relation(relation_dom(sK6)))
| ~ subset(relation_rng(sK6),relation_dom(sK7))
| ~ function(sK7) ),
inference(subsumption_resolution,[],[f329,f216]) ).
fof(f216,plain,
~ one_to_one(sK6),
inference(literal_reordering,[],[f155]) ).
fof(f155,plain,
~ one_to_one(sK6),
inference(cnf_transformation,[],[f107]) ).
fof(f329,plain,
( one_to_one(sK6)
| ~ relation(sK7)
| ~ function(sK6)
| ~ subset(relation_rng(sK6),relation_dom(sK7))
| ~ one_to_one(identity_relation(relation_dom(sK6)))
| ~ function(sK7) ),
inference(subsumption_resolution,[],[f328,f198]) ).
fof(f198,plain,
relation(sK6),
inference(literal_reordering,[],[f154]) ).
fof(f154,plain,
relation(sK6),
inference(cnf_transformation,[],[f107]) ).
fof(f328,plain,
( ~ relation(sK6)
| ~ relation(sK7)
| one_to_one(sK6)
| ~ function(sK7)
| ~ one_to_one(identity_relation(relation_dom(sK6)))
| ~ subset(relation_rng(sK6),relation_dom(sK7))
| ~ function(sK6) ),
inference(superposition,[],[f221,f231]) ).
fof(f231,plain,
relation_composition(sK6,sK7) = identity_relation(relation_dom(sK6)),
inference(literal_reordering,[],[f150]) ).
fof(f150,plain,
relation_composition(sK6,sK7) = identity_relation(relation_dom(sK6)),
inference(cnf_transformation,[],[f107]) ).
fof(f221,plain,
! [X0,X1] :
( ~ one_to_one(relation_composition(X1,X0))
| ~ function(X0)
| ~ function(X1)
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1)
| ~ relation(X0)
| one_to_one(X1) ),
inference(literal_reordering,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ function(X0)
| ~ one_to_one(relation_composition(X1,X0))
| ~ relation(X0)
| ~ function(X1)
| one_to_one(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| one_to_one(X1)
| ~ one_to_one(relation_composition(X1,X0))
| ~ subset(relation_rng(X1),relation_dom(X0)) )
| ~ function(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( one_to_one(X1)
| ~ one_to_one(relation_composition(X1,X0))
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(relation_composition(X1,X0))
& subset(relation_rng(X1),relation_dom(X0)) )
=> one_to_one(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_funct_1) ).
fof(f341,plain,
subset(relation_rng(sK6),relation_dom(sK7)),
inference(subsumption_resolution,[],[f340,f188]) ).
fof(f340,plain,
( subset(relation_rng(sK6),relation_dom(sK7))
| ~ relation(sK7) ),
inference(subsumption_resolution,[],[f339,f203]) ).
fof(f203,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(literal_reordering,[],[f167]) ).
fof(f167,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f339,plain,
( relation_dom(sK6) != relation_dom(identity_relation(relation_dom(sK6)))
| subset(relation_rng(sK6),relation_dom(sK7))
| ~ relation(sK7) ),
inference(subsumption_resolution,[],[f338,f208]) ).
fof(f338,plain,
( ~ function(sK7)
| relation_dom(sK6) != relation_dom(identity_relation(relation_dom(sK6)))
| ~ relation(sK7)
| subset(relation_rng(sK6),relation_dom(sK7)) ),
inference(subsumption_resolution,[],[f337,f198]) ).
fof(f337,plain,
( ~ relation(sK6)
| ~ relation(sK7)
| subset(relation_rng(sK6),relation_dom(sK7))
| ~ function(sK7)
| relation_dom(sK6) != relation_dom(identity_relation(relation_dom(sK6))) ),
inference(subsumption_resolution,[],[f336,f209]) ).
fof(f336,plain,
( subset(relation_rng(sK6),relation_dom(sK7))
| ~ function(sK6)
| ~ relation(sK6)
| ~ relation(sK7)
| relation_dom(sK6) != relation_dom(identity_relation(relation_dom(sK6)))
| ~ function(sK7) ),
inference(superposition,[],[f226,f231]) ).
fof(f226,plain,
! [X0,X1] :
( relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1) ),
inference(literal_reordering,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| ~ function(X0)
| ~ relation(X0)
| subset(relation_rng(X1),relation_dom(X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(X1),relation_dom(X0))
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
=> subset(relation_rng(X1),relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:35:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (12434)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)
% 0.20/0.50 % (12451)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)
% 0.20/0.50 % (12442)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50 % (12432)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (12451)First to succeed.
% 0.20/0.51 % (12440)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (12449)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (12433)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (12433)Instruction limit reached!
% 0.20/0.51 % (12433)------------------------------
% 0.20/0.51 % (12433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (12433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (12433)Termination reason: Unknown
% 0.20/0.51 % (12433)Termination phase: Property scanning
% 0.20/0.51
% 0.20/0.51 % (12433)Memory used [KB]: 895
% 0.20/0.51 % (12433)Time elapsed: 0.003 s
% 0.20/0.51 % (12433)Instructions burned: 3 (million)
% 0.20/0.51 % (12433)------------------------------
% 0.20/0.51 % (12433)------------------------------
% 0.20/0.52 % (12432)Instruction limit reached!
% 0.20/0.52 % (12432)------------------------------
% 0.20/0.52 % (12432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (12432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12432)Termination reason: Unknown
% 0.20/0.52 % (12432)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (12432)Memory used [KB]: 5500
% 0.20/0.52 % (12432)Time elapsed: 0.105 s
% 0.20/0.52 % (12432)Instructions burned: 7 (million)
% 0.20/0.52 % (12432)------------------------------
% 0.20/0.52 % (12432)------------------------------
% 0.20/0.52 % (12449)Also succeeded, but the first one will report.
% 0.20/0.52 % (12451)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (12451)------------------------------
% 0.20/0.52 % (12451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12451)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (12451)Memory used [KB]: 5884
% 0.20/0.52 % (12451)Time elapsed: 0.010 s
% 0.20/0.52 % (12451)Instructions burned: 8 (million)
% 0.20/0.52 % (12451)------------------------------
% 0.20/0.52 % (12451)------------------------------
% 0.20/0.52 % (12424)Success in time 0.167 s
%------------------------------------------------------------------------------