TSTP Solution File: SEU053+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU053+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 : Sun May 5 09:20:05 EDT 2024
% Result : Theorem 0.86s 0.82s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 18
% Syntax : Number of formulae : 114 ( 49 unt; 0 def)
% Number of atoms : 236 ( 92 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 207 ( 85 ~; 87 |; 16 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 121 ( 118 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2531,plain,
$false,
inference(avatar_sat_refutation,[],[f2380,f2433,f2498]) ).
fof(f2498,plain,
~ spl17_9,
inference(avatar_contradiction_clause,[],[f2497]) ).
fof(f2497,plain,
( $false
| ~ spl17_9 ),
inference(subsumption_resolution,[],[f2480,f170]) ).
fof(f170,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f143,f160]) ).
fof(f160,plain,
! [X0] : empty_set = sK11(X0),
inference(resolution,[],[f89,f144]) ).
fof(f144,plain,
! [X0] : empty(sK11(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',rc2_subset_1) ).
fof(f89,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',t6_boole) ).
fof(f143,plain,
! [X0] : element(sK11(X0),powerset(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f2480,plain,
( ~ element(empty_set,powerset(empty_set))
| ~ spl17_9 ),
inference(superposition,[],[f320,f2379]) ).
fof(f2379,plain,
( empty_set = singleton(apply(sK0,sK6(sK0)))
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f2377,plain,
( spl17_9
<=> empty_set = singleton(apply(sK0,sK6(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f320,plain,
! [X0] : ~ element(singleton(X0),powerset(empty_set)),
inference(resolution,[],[f213,f120]) ).
fof(f120,plain,
empty(empty_set),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',fc4_relat_1) ).
fof(f213,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ element(singleton(X0),powerset(X1)) ),
inference(resolution,[],[f128,f151]) ).
fof(f151,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f150]) ).
fof(f150,plain,
! [X2,X1] :
( in(X2,X1)
| singleton(X2) != X1 ),
inference(equality_resolution,[],[f137]) ).
fof(f137,plain,
! [X2,X0,X1] :
( X0 != X2
| in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',d1_tarski) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',t5_subset) ).
fof(f2433,plain,
~ spl17_8,
inference(avatar_contradiction_clause,[],[f2432]) ).
fof(f2432,plain,
( $false
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f2431,f87]) ).
fof(f87,plain,
~ one_to_one(sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
? [X0] :
( ~ one_to_one(X0)
& ! [X1,X2] : relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2))
& function(X0)
& relation(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X0] :
( ~ one_to_one(X0)
& ! [X1,X2] : relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2))
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X1,X2] : relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2))
=> one_to_one(X0) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X1,X2] : relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2))
=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',t122_funct_1) ).
fof(f2431,plain,
( one_to_one(sK0)
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f2430,f84]) ).
fof(f84,plain,
relation(sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f2430,plain,
( ~ relation(sK0)
| one_to_one(sK0)
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f2429,f85]) ).
fof(f85,plain,
function(sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f2429,plain,
( ~ function(sK0)
| ~ relation(sK0)
| one_to_one(sK0)
| ~ spl17_8 ),
inference(trivial_inequality_removal,[],[f2428]) ).
fof(f2428,plain,
( sK6(sK0) != sK6(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| one_to_one(sK0)
| ~ spl17_8 ),
inference(superposition,[],[f115,f2375]) ).
fof(f2375,plain,
( sK6(sK0) = sK7(sK0)
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f2373]) ).
fof(f2373,plain,
( spl17_8
<=> sK6(sK0) = sK7(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f115,plain,
! [X0] :
( sK6(X0) != sK7(X0)
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',d8_funct_1) ).
fof(f2380,plain,
( spl17_8
| spl17_9 ),
inference(avatar_split_clause,[],[f2347,f2377,f2373]) ).
fof(f2347,plain,
( empty_set = singleton(apply(sK0,sK6(sK0)))
| sK6(sK0) = sK7(sK0) ),
inference(forward_demodulation,[],[f2318,f273]) ).
fof(f273,plain,
singleton(apply(sK0,sK6(sK0))) = sF15(singleton(sK6(sK0))),
inference(forward_demodulation,[],[f272,f153]) ).
fof(f153,plain,
! [X1] : relation_image(sK0,X1) = sF15(X1),
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f272,plain,
relation_image(sK0,singleton(sK6(sK0))) = singleton(apply(sK0,sK6(sK0))),
inference(subsumption_resolution,[],[f271,f84]) ).
fof(f271,plain,
( ~ relation(sK0)
| relation_image(sK0,singleton(sK6(sK0))) = singleton(apply(sK0,sK6(sK0))) ),
inference(subsumption_resolution,[],[f270,f85]) ).
fof(f270,plain,
( ~ function(sK0)
| ~ relation(sK0)
| relation_image(sK0,singleton(sK6(sK0))) = singleton(apply(sK0,sK6(sK0))) ),
inference(resolution,[],[f117,f260]) ).
fof(f260,plain,
in(sK6(sK0),relation_dom(sK0)),
inference(subsumption_resolution,[],[f259,f84]) ).
fof(f259,plain,
( in(sK6(sK0),relation_dom(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f258,f85]) ).
fof(f258,plain,
( ~ function(sK0)
| in(sK6(sK0),relation_dom(sK0))
| ~ relation(sK0) ),
inference(resolution,[],[f112,f87]) ).
fof(f112,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| in(sK6(X0),relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f117,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( in(X0,relation_dom(X1))
=> relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',t117_funct_1) ).
fof(f2318,plain,
( empty_set = sF15(singleton(sK6(sK0)))
| sK6(sK0) = sK7(sK0) ),
inference(superposition,[],[f2051,f91]) ).
fof(f91,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',idempotence_k3_xboole_0) ).
fof(f2051,plain,
! [X0] :
( empty_set = sF15(set_intersection2(singleton(sK6(sK0)),singleton(X0)))
| sK7(sK0) = X0 ),
inference(superposition,[],[f2027,f380]) ).
fof(f380,plain,
! [X0,X1] :
( empty_set = sF15(set_intersection2(singleton(X1),singleton(X0)))
| X0 = X1 ),
inference(forward_demodulation,[],[f376,f184]) ).
fof(f184,plain,
empty_set = sF15(empty_set),
inference(subsumption_resolution,[],[f182,f84]) ).
fof(f182,plain,
( empty_set = sF15(empty_set)
| ~ relation(sK0) ),
inference(superposition,[],[f116,f153]) ).
fof(f116,plain,
! [X0] :
( empty_set = relation_image(X0,empty_set)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( empty_set = relation_image(X0,empty_set)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( relation(X0)
=> empty_set = relation_image(X0,empty_set) ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',t149_relat_1) ).
fof(f376,plain,
! [X0,X1] :
( sF15(empty_set) = sF15(set_intersection2(singleton(X1),singleton(X0)))
| X0 = X1 ),
inference(superposition,[],[f230,f206]) ).
fof(f206,plain,
! [X0,X1] :
( empty_set = set_intersection2(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(resolution,[],[f123,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',d7_xboole_0) ).
fof(f123,plain,
! [X0,X1] :
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( X0 != X1
=> disjoint(singleton(X0),singleton(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',t17_zfmisc_1) ).
fof(f230,plain,
! [X0,X1] : sF15(set_intersection2(X0,X1)) = sF15(set_intersection2(X1,X0)),
inference(forward_demodulation,[],[f220,f216]) ).
fof(f216,plain,
! [X2,X1] : set_intersection2(sF15(X1),sF15(X2)) = sF15(set_intersection2(X1,X2)),
inference(forward_demodulation,[],[f154,f215]) ).
fof(f215,plain,
! [X2,X1] : sF16(X1,X2) = sF15(set_intersection2(X1,X2)),
inference(backward_demodulation,[],[f155,f214]) ).
fof(f214,plain,
! [X2,X1] : sF14(X1,X2) = sF15(set_intersection2(X1,X2)),
inference(forward_demodulation,[],[f152,f153]) ).
fof(f152,plain,
! [X2,X1] : relation_image(sK0,set_intersection2(X1,X2)) = sF14(X1,X2),
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f155,plain,
! [X2,X1] : sF14(X1,X2) = sF16(X1,X2),
inference(definition_folding,[],[f86,f154,f153,f153,f152]) ).
fof(f86,plain,
! [X2,X1] : relation_image(sK0,set_intersection2(X1,X2)) = set_intersection2(relation_image(sK0,X1),relation_image(sK0,X2)),
inference(cnf_transformation,[],[f50]) ).
fof(f154,plain,
! [X2,X1] : set_intersection2(sF15(X1),sF15(X2)) = sF16(X1,X2),
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f220,plain,
! [X0,X1] : sF15(set_intersection2(X0,X1)) = set_intersection2(sF15(X1),sF15(X0)),
inference(superposition,[],[f216,f92]) ).
fof(f92,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594',commutativity_k3_xboole_0) ).
fof(f2027,plain,
! [X0] : sF15(set_intersection2(singleton(sK6(sK0)),X0)) = sF15(set_intersection2(singleton(sK7(sK0)),X0)),
inference(forward_demodulation,[],[f2005,f302]) ).
fof(f302,plain,
! [X0] : sF15(set_intersection2(singleton(sK6(sK0)),X0)) = set_intersection2(singleton(apply(sK0,sK6(sK0))),sF15(X0)),
inference(superposition,[],[f216,f273]) ).
fof(f2005,plain,
! [X0] : set_intersection2(singleton(apply(sK0,sK6(sK0))),sF15(X0)) = sF15(set_intersection2(singleton(sK7(sK0)),X0)),
inference(backward_demodulation,[],[f316,f1988]) ).
fof(f1988,plain,
singleton(apply(sK0,sK6(sK0))) = singleton(apply(sK0,sK7(sK0))),
inference(forward_demodulation,[],[f1987,f273]) ).
fof(f1987,plain,
sF15(singleton(sK6(sK0))) = singleton(apply(sK0,sK7(sK0))),
inference(forward_demodulation,[],[f1986,f282]) ).
fof(f282,plain,
singleton(apply(sK0,sK7(sK0))) = sF15(singleton(sK7(sK0))),
inference(forward_demodulation,[],[f281,f153]) ).
fof(f281,plain,
relation_image(sK0,singleton(sK7(sK0))) = singleton(apply(sK0,sK7(sK0))),
inference(subsumption_resolution,[],[f280,f84]) ).
fof(f280,plain,
( ~ relation(sK0)
| relation_image(sK0,singleton(sK7(sK0))) = singleton(apply(sK0,sK7(sK0))) ),
inference(subsumption_resolution,[],[f276,f85]) ).
fof(f276,plain,
( ~ function(sK0)
| ~ relation(sK0)
| relation_image(sK0,singleton(sK7(sK0))) = singleton(apply(sK0,sK7(sK0))) ),
inference(resolution,[],[f266,f117]) ).
fof(f266,plain,
in(sK7(sK0),relation_dom(sK0)),
inference(subsumption_resolution,[],[f265,f84]) ).
fof(f265,plain,
( in(sK7(sK0),relation_dom(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f264,f85]) ).
fof(f264,plain,
( ~ function(sK0)
| in(sK7(sK0),relation_dom(sK0))
| ~ relation(sK0) ),
inference(resolution,[],[f113,f87]) ).
fof(f113,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| in(sK7(X0),relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f1986,plain,
sF15(singleton(sK6(sK0))) = sF15(singleton(sK7(sK0))),
inference(forward_demodulation,[],[f1985,f91]) ).
fof(f1985,plain,
sF15(singleton(sK7(sK0))) = sF15(set_intersection2(singleton(sK6(sK0)),singleton(sK6(sK0)))),
inference(forward_demodulation,[],[f1984,f1489]) ).
fof(f1489,plain,
! [X0] : sF15(set_intersection2(X0,singleton(sK6(sK0)))) = sF15(set_intersection2(X0,singleton(sK7(sK0)))),
inference(forward_demodulation,[],[f1488,f301]) ).
fof(f301,plain,
! [X0] : sF15(set_intersection2(X0,singleton(sK6(sK0)))) = set_intersection2(sF15(X0),singleton(apply(sK0,sK6(sK0)))),
inference(superposition,[],[f216,f273]) ).
fof(f1488,plain,
! [X0] : set_intersection2(sF15(X0),singleton(apply(sK0,sK6(sK0)))) = sF15(set_intersection2(X0,singleton(sK7(sK0)))),
inference(subsumption_resolution,[],[f1487,f87]) ).
fof(f1487,plain,
! [X0] :
( set_intersection2(sF15(X0),singleton(apply(sK0,sK6(sK0)))) = sF15(set_intersection2(X0,singleton(sK7(sK0))))
| one_to_one(sK0) ),
inference(subsumption_resolution,[],[f1486,f84]) ).
fof(f1486,plain,
! [X0] :
( set_intersection2(sF15(X0),singleton(apply(sK0,sK6(sK0)))) = sF15(set_intersection2(X0,singleton(sK7(sK0))))
| ~ relation(sK0)
| one_to_one(sK0) ),
inference(subsumption_resolution,[],[f1440,f85]) ).
fof(f1440,plain,
! [X0] :
( set_intersection2(sF15(X0),singleton(apply(sK0,sK6(sK0)))) = sF15(set_intersection2(X0,singleton(sK7(sK0))))
| ~ function(sK0)
| ~ relation(sK0)
| one_to_one(sK0) ),
inference(superposition,[],[f315,f114]) ).
fof(f114,plain,
! [X0] :
( apply(X0,sK6(X0)) = apply(X0,sK7(X0))
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f315,plain,
! [X0] : sF15(set_intersection2(X0,singleton(sK7(sK0)))) = set_intersection2(sF15(X0),singleton(apply(sK0,sK7(sK0)))),
inference(superposition,[],[f216,f282]) ).
fof(f1984,plain,
sF15(singleton(sK7(sK0))) = sF15(set_intersection2(singleton(sK6(sK0)),singleton(sK7(sK0)))),
inference(forward_demodulation,[],[f1942,f230]) ).
fof(f1942,plain,
sF15(singleton(sK7(sK0))) = sF15(set_intersection2(singleton(sK7(sK0)),singleton(sK6(sK0)))),
inference(superposition,[],[f1489,f91]) ).
fof(f316,plain,
! [X0] : sF15(set_intersection2(singleton(sK7(sK0)),X0)) = set_intersection2(singleton(apply(sK0,sK7(sK0))),sF15(X0)),
inference(superposition,[],[f216,f282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU053+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 10:49:18 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.tGcqGma68S/Vampire---4.8_8594
% 0.49/0.72 % (8708)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.49/0.72 % (8711)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.49/0.72 % (8710)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.49/0.72 % (8704)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.49/0.72 % (8706)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.49/0.72 % (8705)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.49/0.72 % (8707)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.49/0.72 % (8711)Refutation not found, incomplete strategy% (8711)------------------------------
% 0.49/0.72 % (8711)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (8711)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (8711)Memory used [KB]: 1032
% 0.49/0.72 % (8711)Time elapsed: 0.002 s
% 0.49/0.72 % (8711)Instructions burned: 3 (million)
% 0.49/0.72 % (8708)Refutation not found, incomplete strategy% (8708)------------------------------
% 0.49/0.72 % (8708)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (8708)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (8708)Memory used [KB]: 1116
% 0.49/0.72 % (8708)Time elapsed: 0.003 s
% 0.49/0.72 % (8708)Instructions burned: 5 (million)
% 0.49/0.72 % (8711)------------------------------
% 0.49/0.72 % (8711)------------------------------
% 0.49/0.72 % (8708)------------------------------
% 0.49/0.72 % (8708)------------------------------
% 0.58/0.72 % (8704)Refutation not found, incomplete strategy% (8704)------------------------------
% 0.58/0.72 % (8704)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.72 % (8704)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.72
% 0.58/0.72 % (8704)Memory used [KB]: 1063
% 0.58/0.72 % (8704)Time elapsed: 0.005 s
% 0.58/0.72 % (8704)Instructions burned: 6 (million)
% 0.58/0.73 % (8704)------------------------------
% 0.58/0.73 % (8704)------------------------------
% 0.58/0.73 % (8709)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.73 % (8714)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.73 % (8713)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.58/0.73 % (8712)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.74 % (8707)Instruction limit reached!
% 0.58/0.74 % (8707)------------------------------
% 0.58/0.74 % (8707)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (8707)Termination reason: Unknown
% 0.58/0.74 % (8707)Termination phase: Saturation
% 0.58/0.74
% 0.58/0.74 % (8707)Memory used [KB]: 1457
% 0.58/0.74 % (8707)Time elapsed: 0.018 s
% 0.58/0.74 % (8707)Instructions burned: 33 (million)
% 0.58/0.74 % (8707)------------------------------
% 0.58/0.74 % (8707)------------------------------
% 0.58/0.74 % (8709)Instruction limit reached!
% 0.58/0.74 % (8709)------------------------------
% 0.58/0.74 % (8709)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (8709)Termination reason: Unknown
% 0.58/0.74 % (8709)Termination phase: Saturation
% 0.58/0.74
% 0.58/0.74 % (8709)Memory used [KB]: 1294
% 0.58/0.74 % (8709)Time elapsed: 0.015 s
% 0.58/0.74 % (8709)Instructions burned: 48 (million)
% 0.58/0.74 % (8709)------------------------------
% 0.58/0.74 % (8709)------------------------------
% 0.58/0.74 % (8715)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.58/0.74 % (8716)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.58/0.75 % (8705)Instruction limit reached!
% 0.58/0.75 % (8705)------------------------------
% 0.58/0.75 % (8705)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (8705)Termination reason: Unknown
% 0.58/0.75 % (8705)Termination phase: Saturation
% 0.58/0.75
% 0.58/0.75 % (8705)Memory used [KB]: 1415
% 0.58/0.75 % (8705)Time elapsed: 0.028 s
% 0.58/0.75 % (8705)Instructions burned: 52 (million)
% 0.58/0.75 % (8705)------------------------------
% 0.58/0.75 % (8705)------------------------------
% 0.58/0.75 % (8713)Instruction limit reached!
% 0.58/0.75 % (8713)------------------------------
% 0.58/0.75 % (8713)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (8713)Termination reason: Unknown
% 0.58/0.75 % (8713)Termination phase: Saturation
% 0.58/0.75
% 0.58/0.75 % (8713)Memory used [KB]: 1601
% 0.58/0.75 % (8713)Time elapsed: 0.024 s
% 0.58/0.75 % (8713)Instructions burned: 51 (million)
% 0.58/0.75 % (8713)------------------------------
% 0.58/0.75 % (8713)------------------------------
% 0.58/0.75 % (8717)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.58/0.75 % (8710)Instruction limit reached!
% 0.58/0.75 % (8710)------------------------------
% 0.58/0.75 % (8710)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (8710)Termination reason: Unknown
% 0.58/0.75 % (8710)Termination phase: Saturation
% 0.58/0.75
% 0.58/0.75 % (8710)Memory used [KB]: 1935
% 0.58/0.75 % (8710)Time elapsed: 0.035 s
% 0.58/0.75 % (8710)Instructions burned: 84 (million)
% 0.58/0.75 % (8710)------------------------------
% 0.58/0.75 % (8710)------------------------------
% 0.58/0.76 % (8718)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.58/0.76 % (8719)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.58/0.76 % (8712)Instruction limit reached!
% 0.58/0.76 % (8712)------------------------------
% 0.58/0.76 % (8712)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (8712)Termination reason: Unknown
% 0.58/0.76 % (8712)Termination phase: Saturation
% 0.58/0.76
% 0.58/0.76 % (8712)Memory used [KB]: 1839
% 0.58/0.76 % (8712)Time elapsed: 0.031 s
% 0.58/0.76 % (8712)Instructions burned: 55 (million)
% 0.58/0.76 % (8712)------------------------------
% 0.58/0.76 % (8712)------------------------------
% 0.58/0.76 % (8706)Instruction limit reached!
% 0.58/0.76 % (8706)------------------------------
% 0.58/0.76 % (8706)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (8706)Termination reason: Unknown
% 0.58/0.76 % (8706)Termination phase: Saturation
% 0.58/0.76
% 0.58/0.76 % (8706)Memory used [KB]: 1521
% 0.58/0.76 % (8706)Time elapsed: 0.043 s
% 0.58/0.76 % (8706)Instructions burned: 78 (million)
% 0.58/0.76 % (8706)------------------------------
% 0.58/0.76 % (8706)------------------------------
% 0.58/0.77 % (8720)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.58/0.77 % (8721)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.58/0.77 % (8715)Instruction limit reached!
% 0.58/0.77 % (8715)------------------------------
% 0.58/0.77 % (8715)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77 % (8715)Termination reason: Unknown
% 0.58/0.77 % (8715)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (8715)Memory used [KB]: 1342
% 0.58/0.77 % (8715)Time elapsed: 0.030 s
% 0.58/0.77 % (8715)Instructions burned: 52 (million)
% 0.58/0.77 % (8715)------------------------------
% 0.58/0.77 % (8715)------------------------------
% 0.58/0.77 % (8722)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.58/0.78 % (8717)Instruction limit reached!
% 0.58/0.78 % (8717)------------------------------
% 0.58/0.78 % (8717)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (8717)Termination reason: Unknown
% 0.58/0.78 % (8717)Termination phase: Saturation
% 0.58/0.78
% 0.58/0.78 % (8717)Memory used [KB]: 1442
% 0.58/0.78 % (8717)Time elapsed: 0.027 s
% 0.58/0.78 % (8717)Instructions burned: 43 (million)
% 0.58/0.78 % (8717)------------------------------
% 0.58/0.78 % (8717)------------------------------
% 0.58/0.78 % (8723)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.86/0.80 % (8723)Instruction limit reached!
% 0.86/0.80 % (8723)------------------------------
% 0.86/0.80 % (8723)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/0.80 % (8723)Termination reason: Unknown
% 0.86/0.80 % (8723)Termination phase: Saturation
% 0.86/0.80
% 0.86/0.80 % (8723)Memory used [KB]: 1418
% 0.86/0.80 % (8723)Time elapsed: 0.040 s
% 0.86/0.80 % (8723)Instructions burned: 32 (million)
% 0.86/0.80 % (8723)------------------------------
% 0.86/0.80 % (8723)------------------------------
% 0.86/0.80 % (8719)Instruction limit reached!
% 0.86/0.80 % (8719)------------------------------
% 0.86/0.80 % (8719)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/0.80 % (8719)Termination reason: Unknown
% 0.86/0.80 % (8719)Termination phase: Saturation
% 0.86/0.80
% 0.86/0.80 % (8719)Memory used [KB]: 2738
% 0.86/0.80 % (8719)Time elapsed: 0.043 s
% 0.86/0.80 % (8719)Instructions burned: 117 (million)
% 0.86/0.80 % (8719)------------------------------
% 0.86/0.80 % (8719)------------------------------
% 0.86/0.80 % (8725)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.86/0.80 % (8714)Instruction limit reached!
% 0.86/0.80 % (8714)------------------------------
% 0.86/0.80 % (8714)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/0.80 % (8714)Termination reason: Unknown
% 0.86/0.80 % (8714)Termination phase: Saturation
% 0.86/0.80
% 0.86/0.80 % (8714)Memory used [KB]: 1974
% 0.86/0.80 % (8714)Time elapsed: 0.076 s
% 0.86/0.80 % (8714)Instructions burned: 210 (million)
% 0.86/0.80 % (8714)------------------------------
% 0.86/0.80 % (8714)------------------------------
% 0.86/0.80 % (8724)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.86/0.81 % (8726)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.86/0.82 % (8722)Instruction limit reached!
% 0.86/0.82 % (8722)------------------------------
% 0.86/0.82 % (8722)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/0.82 % (8722)Termination reason: Unknown
% 0.86/0.82 % (8722)Termination phase: Saturation
% 0.86/0.82
% 0.86/0.82 % (8722)Memory used [KB]: 2120
% 0.86/0.82 % (8722)Time elapsed: 0.044 s
% 0.86/0.82 % (8722)Instructions burned: 63 (million)
% 0.86/0.82 % (8722)------------------------------
% 0.86/0.82 % (8722)------------------------------
% 0.86/0.82 % (8725)Instruction limit reached!
% 0.86/0.82 % (8725)------------------------------
% 0.86/0.82 % (8725)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/0.82 % (8725)Termination reason: Unknown
% 0.86/0.82 % (8725)Termination phase: Saturation
% 0.86/0.82
% 0.86/0.82 % (8725)Memory used [KB]: 2357
% 0.86/0.82 % (8725)Time elapsed: 0.018 s
% 0.86/0.82 % (8725)Instructions burned: 57 (million)
% 0.86/0.82 % (8725)------------------------------
% 0.86/0.82 % (8725)------------------------------
% 0.86/0.82 % (8726)Instruction limit reached!
% 0.86/0.82 % (8726)------------------------------
% 0.86/0.82 % (8726)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/0.82 % (8726)Termination reason: Unknown
% 0.86/0.82 % (8726)Termination phase: Saturation
% 0.86/0.82
% 0.86/0.82 % (8726)Memory used [KB]: 1501
% 0.86/0.82 % (8726)Time elapsed: 0.015 s
% 0.86/0.82 % (8726)Instructions burned: 53 (million)
% 0.86/0.82 % (8726)------------------------------
% 0.86/0.82 % (8726)------------------------------
% 0.86/0.82 % (8727)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.86/0.82 % (8718)First to succeed.
% 0.86/0.82 % (8718)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8703"
% 0.86/0.82 % (8729)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.86/0.82 % (8718)Refutation found. Thanks to Tanya!
% 0.86/0.82 % SZS status Theorem for Vampire---4
% 0.86/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.86/0.82 % (8718)------------------------------
% 0.86/0.82 % (8718)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/0.82 % (8718)Termination reason: Refutation
% 0.86/0.82
% 0.86/0.82 % (8718)Memory used [KB]: 1766
% 0.86/0.82 % (8718)Time elapsed: 0.086 s
% 0.86/0.82 % (8718)Instructions burned: 200 (million)
% 0.86/0.82 % (8703)Success in time 0.48 s
% 0.86/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------