TSTP Solution File: SEU376+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU376+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 09:37:59 EDT 2024
% Result : Theorem 4.12s 0.96s
% Output : Refutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 56
% Syntax : Number of formulae : 271 ( 31 unt; 0 def)
% Number of atoms : 937 ( 29 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1062 ( 396 ~; 423 |; 168 &)
% ( 32 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 18 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-4 aty)
% Number of variables : 449 ( 388 !; 61 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11282,plain,
$false,
inference(avatar_sat_refutation,[],[f344,f349,f350,f351,f352,f497,f1001,f1022,f2536,f2585,f4897,f4903,f6335,f7017,f10133,f10264,f11273,f11281]) ).
fof(f11281,plain,
spl34_12,
inference(avatar_contradiction_clause,[],[f11280]) ).
fof(f11280,plain,
( $false
| spl34_12 ),
inference(subsumption_resolution,[],[f11279,f303]) ).
fof(f303,plain,
rel_str(sK7),
inference(subsumption_resolution,[],[f300,f191]) ).
fof(f191,plain,
one_sorted_str(sK6),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ~ is_often_in(sK6,sK7,sK8)
& is_eventually_in(sK6,sK7,sK8)
& net_str(sK7,sK6)
& directed_relstr(sK7)
& ~ empty_carrier(sK7)
& one_sorted_str(sK6)
& ~ empty_carrier(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f75,f132,f131,f130]) ).
fof(f130,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ is_often_in(X0,X1,X2)
& is_eventually_in(X0,X1,X2) )
& net_str(X1,X0)
& directed_relstr(X1)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ is_often_in(sK6,X1,X2)
& is_eventually_in(sK6,X1,X2) )
& net_str(X1,sK6)
& directed_relstr(X1)
& ~ empty_carrier(X1) )
& one_sorted_str(sK6)
& ~ empty_carrier(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X1] :
( ? [X2] :
( ~ is_often_in(sK6,X1,X2)
& is_eventually_in(sK6,X1,X2) )
& net_str(X1,sK6)
& directed_relstr(X1)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ~ is_often_in(sK6,sK7,X2)
& is_eventually_in(sK6,sK7,X2) )
& net_str(sK7,sK6)
& directed_relstr(sK7)
& ~ empty_carrier(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X2] :
( ~ is_often_in(sK6,sK7,X2)
& is_eventually_in(sK6,sK7,X2) )
=> ( ~ is_often_in(sK6,sK7,sK8)
& is_eventually_in(sK6,sK7,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ is_often_in(X0,X1,X2)
& is_eventually_in(X0,X1,X2) )
& net_str(X1,X0)
& directed_relstr(X1)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ is_often_in(X0,X1,X2)
& is_eventually_in(X0,X1,X2) )
& net_str(X1,X0)
& directed_relstr(X1)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_eventually_in(X0,X1,X2)
=> is_often_in(X0,X1,X2) ) ) ),
inference(pure_predicate_removal,[],[f55]) ).
fof(f55,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_eventually_in(X0,X1,X2)
=> is_often_in(X0,X1,X2) ) ) ),
inference(negated_conjecture,[],[f54]) ).
fof(f54,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_eventually_in(X0,X1,X2)
=> is_often_in(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_yellow_6) ).
fof(f300,plain,
( rel_str(sK7)
| ~ one_sorted_str(sK6) ),
inference(resolution,[],[f205,f194]) ).
fof(f194,plain,
net_str(sK7,sK6),
inference(cnf_transformation,[],[f133]) ).
fof(f205,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f11279,plain,
( ~ rel_str(sK7)
| spl34_12 ),
inference(subsumption_resolution,[],[f11278,f193]) ).
fof(f193,plain,
directed_relstr(sK7),
inference(cnf_transformation,[],[f133]) ).
fof(f11278,plain,
( ~ directed_relstr(sK7)
| ~ rel_str(sK7)
| spl34_12 ),
inference(subsumption_resolution,[],[f11277,f192]) ).
fof(f192,plain,
~ empty_carrier(sK7),
inference(cnf_transformation,[],[f133]) ).
fof(f11277,plain,
( empty_carrier(sK7)
| ~ directed_relstr(sK7)
| ~ rel_str(sK7)
| spl34_12 ),
inference(resolution,[],[f6329,f299]) ).
fof(f299,plain,
! [X0] :
( sP0(X0)
| empty_carrier(X0)
| ~ directed_relstr(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f218,f210]) ).
fof(f210,plain,
! [X0] :
( ~ sP1(X0)
| ~ directed_relstr(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( ( directed_relstr(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ directed_relstr(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( directed_relstr(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f218,plain,
! [X0] :
( sP1(X0)
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( sP1(X0)
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f84,f122,f121]) ).
fof(f121,plain,
! [X0] :
( sP0(X0)
<=> ! [X1] :
( ! [X2] :
( ? [X3] :
( related(X0,X2,X3)
& related(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f84,plain,
! [X0] :
( ( directed_relstr(X0)
<=> ! [X1] :
( ! [X2] :
( ? [X3] :
( related(X0,X2,X3)
& related(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( directed_relstr(X0)
<=> ! [X1] :
( ! [X2] :
( ? [X3] :
( related(X0,X2,X3)
& related(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ( directed_relstr(X0)
<=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ? [X3] :
( related(X0,X2,X3)
& related(X0,X1,X3)
& element(X3,the_carrier(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_yellow_6) ).
fof(f6329,plain,
( ~ sP0(sK7)
| spl34_12 ),
inference(avatar_component_clause,[],[f6328]) ).
fof(f6328,plain,
( spl34_12
<=> sP0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_12])]) ).
fof(f11273,plain,
( ~ spl34_9
| ~ spl34_12 ),
inference(avatar_contradiction_clause,[],[f11272]) ).
fof(f11272,plain,
( $false
| ~ spl34_9
| ~ spl34_12 ),
inference(subsumption_resolution,[],[f11271,f190]) ).
fof(f190,plain,
~ empty_carrier(sK6),
inference(cnf_transformation,[],[f133]) ).
fof(f11271,plain,
( empty_carrier(sK6)
| ~ spl34_9
| ~ spl34_12 ),
inference(subsumption_resolution,[],[f11270,f191]) ).
fof(f11270,plain,
( ~ one_sorted_str(sK6)
| empty_carrier(sK6)
| ~ spl34_9
| ~ spl34_12 ),
inference(subsumption_resolution,[],[f11269,f192]) ).
fof(f11269,plain,
( empty_carrier(sK7)
| ~ one_sorted_str(sK6)
| empty_carrier(sK6)
| ~ spl34_9
| ~ spl34_12 ),
inference(subsumption_resolution,[],[f11268,f194]) ).
fof(f11268,plain,
( ~ net_str(sK7,sK6)
| empty_carrier(sK7)
| ~ one_sorted_str(sK6)
| empty_carrier(sK6)
| ~ spl34_9
| ~ spl34_12 ),
inference(resolution,[],[f11252,f228]) ).
fof(f228,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f90,f125,f124]) ).
fof(f124,plain,
! [X2,X1,X0] :
( sP2(X2,X1,X0)
<=> ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f125,plain,
! [X0,X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> sP2(X2,X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_waybel_0) ).
fof(f11252,plain,
( ~ sP3(sK6,sK7)
| ~ spl34_9
| ~ spl34_12 ),
inference(subsumption_resolution,[],[f11251,f6330]) ).
fof(f6330,plain,
( sP0(sK7)
| ~ spl34_12 ),
inference(avatar_component_clause,[],[f6328]) ).
fof(f11251,plain,
( ~ sP0(sK7)
| ~ sP3(sK6,sK7)
| ~ spl34_9 ),
inference(subsumption_resolution,[],[f11250,f4888]) ).
fof(f4888,plain,
( sP5(sK6,sK7)
| ~ spl34_9 ),
inference(avatar_component_clause,[],[f4887]) ).
fof(f4887,plain,
( spl34_9
<=> sP5(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_9])]) ).
fof(f11250,plain,
( ~ sP5(sK6,sK7)
| ~ sP0(sK7)
| ~ sP3(sK6,sK7) ),
inference(subsumption_resolution,[],[f11249,f195]) ).
fof(f195,plain,
is_eventually_in(sK6,sK7,sK8),
inference(cnf_transformation,[],[f133]) ).
fof(f11249,plain,
( ~ is_eventually_in(sK6,sK7,sK8)
| ~ sP5(sK6,sK7)
| ~ sP0(sK7)
| ~ sP3(sK6,sK7) ),
inference(resolution,[],[f5307,f196]) ).
fof(f196,plain,
~ is_often_in(sK6,sK7,sK8),
inference(cnf_transformation,[],[f133]) ).
fof(f5307,plain,
! [X2,X0,X1] :
( is_often_in(X1,X0,X2)
| ~ is_eventually_in(X1,X0,X2)
| ~ sP5(X1,X0)
| ~ sP0(X0)
| ~ sP3(X1,X0) ),
inference(resolution,[],[f5302,f222]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ sP2(X2,X1,X0)
| is_often_in(X0,X1,X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ! [X2] :
( ( is_often_in(X0,X1,X2)
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| ~ is_often_in(X0,X1,X2) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f125]) ).
fof(f5302,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| ~ sP0(X0)
| ~ is_eventually_in(X2,X0,X1)
| ~ sP5(X2,X0) ),
inference(resolution,[],[f5300,f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( sP4(X2,X1,X0)
| ~ is_eventually_in(X0,X1,X2)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ! [X2] :
( ( is_eventually_in(X0,X1,X2)
| ~ sP4(X2,X1,X0) )
& ( sP4(X2,X1,X0)
| ~ is_eventually_in(X0,X1,X2) ) )
| ~ sP5(X0,X1) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> sP4(X2,X1,X0) )
| ~ sP5(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f5300,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| ~ sP0(X1)
| sP2(X0,X1,X2) ),
inference(subsumption_resolution,[],[f5299,f231]) ).
fof(f231,plain,
! [X2,X0,X1] :
( element(sK17(X0,X1,X2),the_carrier(X1))
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ! [X3] :
( ( ~ in(apply_netmap(X2,X1,sK16(X0,X1,X2,X3)),X0)
& related(X1,X3,sK16(X0,X1,X2,X3))
& element(sK16(X0,X1,X2,X3),the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
& ( ( ! [X6] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,sK17(X0,X1,X2),X6)
| ~ element(X6,the_carrier(X1)) )
& element(sK17(X0,X1,X2),the_carrier(X1)) )
| ~ sP4(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f153,f155,f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
=> ( ~ in(apply_netmap(X2,X1,sK16(X0,X1,X2,X3)),X0)
& related(X1,X3,sK16(X0,X1,X2,X3))
& element(sK16(X0,X1,X2,X3),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ? [X5] :
( ! [X6] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,X5,X6)
| ~ element(X6,the_carrier(X1)) )
& element(X5,the_carrier(X1)) )
=> ( ! [X6] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,sK17(X0,X1,X2),X6)
| ~ element(X6,the_carrier(X1)) )
& element(sK17(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ! [X3] :
( ? [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
& ( ? [X5] :
( ! [X6] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,X5,X6)
| ~ element(X6,the_carrier(X1)) )
& element(X5,the_carrier(X1)) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
! [X2,X1,X0] :
( ( sP4(X2,X1,X0)
| ! [X3] :
( ? [X4] :
( ~ in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
& ( ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
| ~ sP4(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X2,X1,X0] :
( sP4(X2,X1,X0)
<=> ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f5299,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| ~ sP0(X1)
| sP2(X0,X1,X2)
| ~ element(sK17(X0,X1,X2),the_carrier(X1)) ),
inference(subsumption_resolution,[],[f5298,f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( element(sK14(X0,X1,X2),the_carrier(X1))
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ! [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,sK14(X0,X1,X2),X4)
| ~ element(X4,the_carrier(X1)) )
& element(sK14(X0,X1,X2),the_carrier(X1)) ) )
& ( ! [X5] :
( ( in(apply_netmap(X2,X1,sK15(X0,X1,X2,X5)),X0)
& related(X1,X5,sK15(X0,X1,X2,X5))
& element(sK15(X0,X1,X2,X5),the_carrier(X1)) )
| ~ element(X5,the_carrier(X1)) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f147,f149,f148]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
=> ( ! [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,sK14(X0,X1,X2),X4)
| ~ element(X4,the_carrier(X1)) )
& element(sK14(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0,X1,X2,X5] :
( ? [X6] :
( in(apply_netmap(X2,X1,X6),X0)
& related(X1,X5,X6)
& element(X6,the_carrier(X1)) )
=> ( in(apply_netmap(X2,X1,sK15(X0,X1,X2,X5)),X0)
& related(X1,X5,sK15(X0,X1,X2,X5))
& element(sK15(X0,X1,X2,X5),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
& ( ! [X5] :
( ? [X6] :
( in(apply_netmap(X2,X1,X6),X0)
& related(X1,X5,X6)
& element(X6,the_carrier(X1)) )
| ~ element(X5,the_carrier(X1)) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X2,X1,X0] :
( ( sP2(X2,X1,X0)
| ? [X3] :
( ! [X4] :
( ~ in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
& ( ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) )
| ~ sP2(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f124]) ).
fof(f5298,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| ~ element(sK14(X0,X1,X2),the_carrier(X1))
| ~ sP0(X1)
| sP2(X0,X1,X2)
| ~ element(sK17(X0,X1,X2),the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f5272]) ).
fof(f5272,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| ~ element(sK14(X0,X1,X2),the_carrier(X1))
| ~ sP0(X1)
| sP2(X0,X1,X2)
| ~ element(sK17(X0,X1,X2),the_carrier(X1))
| ~ sP0(X1) ),
inference(resolution,[],[f2418,f2236]) ).
fof(f2236,plain,
! [X2,X3,X0,X1] :
( ~ in(apply_netmap(X0,X1,sK13(X1,X2,sK14(X3,X1,X0))),X3)
| sP2(X3,X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ sP0(X1) ),
inference(subsumption_resolution,[],[f2235,f226]) ).
fof(f2235,plain,
! [X2,X3,X0,X1] :
( ~ in(apply_netmap(X0,X1,sK13(X1,X2,sK14(X3,X1,X0))),X3)
| sP2(X3,X1,X0)
| ~ element(sK14(X3,X1,X0),the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ sP0(X1) ),
inference(subsumption_resolution,[],[f2228,f212]) ).
fof(f212,plain,
! [X0,X4,X5] :
( element(sK13(X0,X4,X5),the_carrier(X0))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X3] :
( ~ related(X0,sK12(X0),X3)
| ~ related(X0,sK11(X0),X3)
| ~ element(X3,the_carrier(X0)) )
& element(sK12(X0),the_carrier(X0))
& element(sK11(X0),the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ( related(X0,X5,sK13(X0,X4,X5))
& related(X0,X4,sK13(X0,X4,X5))
& element(sK13(X0,X4,X5),the_carrier(X0)) )
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f140,f143,f142,f141]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ related(X0,X2,X3)
| ~ related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
=> ( ? [X2] :
( ! [X3] :
( ~ related(X0,X2,X3)
| ~ related(X0,sK11(X0),X3)
| ~ element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& element(sK11(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ related(X0,X2,X3)
| ~ related(X0,sK11(X0),X3)
| ~ element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
=> ( ! [X3] :
( ~ related(X0,sK12(X0),X3)
| ~ related(X0,sK11(X0),X3)
| ~ element(X3,the_carrier(X0)) )
& element(sK12(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0,X4,X5] :
( ? [X6] :
( related(X0,X5,X6)
& related(X0,X4,X6)
& element(X6,the_carrier(X0)) )
=> ( related(X0,X5,sK13(X0,X4,X5))
& related(X0,X4,sK13(X0,X4,X5))
& element(sK13(X0,X4,X5),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ related(X0,X2,X3)
| ~ related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( ? [X6] :
( related(X0,X5,X6)
& related(X0,X4,X6)
& element(X6,the_carrier(X0)) )
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ related(X0,X2,X3)
| ~ related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) ) )
& ( ! [X1] :
( ! [X2] :
( ? [X3] :
( related(X0,X2,X3)
& related(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f2228,plain,
! [X2,X3,X0,X1] :
( ~ in(apply_netmap(X0,X1,sK13(X1,X2,sK14(X3,X1,X0))),X3)
| sP2(X3,X1,X0)
| ~ element(sK13(X1,X2,sK14(X3,X1,X0)),the_carrier(X1))
| ~ element(sK14(X3,X1,X0),the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ sP0(X1) ),
inference(resolution,[],[f227,f214]) ).
fof(f214,plain,
! [X0,X4,X5] :
( related(X0,X5,sK13(X0,X4,X5))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f227,plain,
! [X2,X0,X1,X4] :
( ~ related(X1,sK14(X0,X1,X2),X4)
| ~ in(apply_netmap(X2,X1,X4),X0)
| sP2(X0,X1,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2418,plain,
! [X2,X3,X0,X1] :
( in(apply_netmap(X0,X1,sK13(X1,sK17(X2,X1,X0),X3)),X2)
| ~ sP4(X2,X1,X0)
| ~ element(X3,the_carrier(X1))
| ~ sP0(X1) ),
inference(subsumption_resolution,[],[f2417,f231]) ).
fof(f2417,plain,
! [X2,X3,X0,X1] :
( in(apply_netmap(X0,X1,sK13(X1,sK17(X2,X1,X0),X3)),X2)
| ~ sP4(X2,X1,X0)
| ~ element(X3,the_carrier(X1))
| ~ element(sK17(X2,X1,X0),the_carrier(X1))
| ~ sP0(X1) ),
inference(subsumption_resolution,[],[f2411,f212]) ).
fof(f2411,plain,
! [X2,X3,X0,X1] :
( in(apply_netmap(X0,X1,sK13(X1,sK17(X2,X1,X0),X3)),X2)
| ~ element(sK13(X1,sK17(X2,X1,X0),X3),the_carrier(X1))
| ~ sP4(X2,X1,X0)
| ~ element(X3,the_carrier(X1))
| ~ element(sK17(X2,X1,X0),the_carrier(X1))
| ~ sP0(X1) ),
inference(resolution,[],[f232,f213]) ).
fof(f213,plain,
! [X0,X4,X5] :
( related(X0,X4,sK13(X0,X4,X5))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f232,plain,
! [X2,X0,X1,X6] :
( ~ related(X1,sK17(X0,X1,X2),X6)
| in(apply_netmap(X2,X1,X6),X0)
| ~ element(X6,the_carrier(X1))
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f10264,plain,
( spl34_7
| ~ spl34_16 ),
inference(avatar_contradiction_clause,[],[f10263]) ).
fof(f10263,plain,
( $false
| spl34_7
| ~ spl34_16 ),
inference(subsumption_resolution,[],[f10134,f2530]) ).
fof(f2530,plain,
( ~ empty(sK9(sK9(sK9(powerset(empty_set)))))
| spl34_7 ),
inference(avatar_component_clause,[],[f2529]) ).
fof(f2529,plain,
( spl34_7
<=> empty(sK9(sK9(sK9(powerset(empty_set))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_7])]) ).
fof(f10134,plain,
( empty(sK9(sK9(sK9(powerset(empty_set)))))
| ~ spl34_16 ),
inference(resolution,[],[f10128,f203]) ).
fof(f203,plain,
! [X0] :
( ~ empty(sK9(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ~ empty(sK9(X0))
& element(sK9(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f76,f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK9(X0))
& element(sK9(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f10128,plain,
( empty(sK9(sK9(sK9(sK9(powerset(empty_set))))))
| ~ spl34_16 ),
inference(avatar_component_clause,[],[f10126]) ).
fof(f10126,plain,
( spl34_16
<=> empty(sK9(sK9(sK9(sK9(powerset(empty_set)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_16])]) ).
fof(f10133,plain,
( spl34_16
| spl34_17 ),
inference(avatar_split_clause,[],[f1093,f10130,f10126]) ).
fof(f10130,plain,
( spl34_17
<=> in(empty_set,sK9(sK9(sK9(sK9(powerset(empty_set)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_17])]) ).
fof(f1093,plain,
( in(empty_set,sK9(sK9(sK9(sK9(powerset(empty_set))))))
| empty(sK9(sK9(sK9(sK9(powerset(empty_set)))))) ),
inference(superposition,[],[f317,f1058]) ).
fof(f1058,plain,
empty_set = sK19(sK9(sK9(sK9(sK9(powerset(empty_set)))))),
inference(resolution,[],[f1033,f197]) ).
fof(f197,plain,
empty(empty_set),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f1033,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK19(sK9(sK9(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f1026,f209]) ).
fof(f209,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f1026,plain,
! [X0] :
( empty(sK19(sK9(sK9(sK9(sK9(powerset(X0)))))))
| ~ empty(X0) ),
inference(resolution,[],[f679,f317]) ).
fof(f679,plain,
! [X0,X1] :
( ~ in(X1,sK19(sK9(sK9(sK9(sK9(powerset(X0)))))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f676,f201]) ).
fof(f201,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f676,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK19(sK9(sK9(sK9(sK9(powerset(X0))))))) ),
inference(resolution,[],[f534,f267]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f534,plain,
! [X0] :
( element(sK19(sK9(sK9(sK9(sK9(X0))))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f527,f203]) ).
fof(f527,plain,
! [X0] :
( empty(sK9(X0))
| element(sK19(sK9(sK9(sK9(sK9(X0))))),X0)
| empty(X0) ),
inference(resolution,[],[f486,f405]) ).
fof(f405,plain,
! [X0,X1] :
( ~ in(X0,sK9(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f264,f202]) ).
fof(f202,plain,
! [X0] :
( element(sK9(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f264,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f486,plain,
! [X0] :
( in(sK19(sK9(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f483]) ).
fof(f483,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK19(sK9(sK9(sK9(X0)))),X0) ),
inference(resolution,[],[f468,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f468,plain,
! [X0] :
( element(sK19(sK9(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f463,f203]) ).
fof(f463,plain,
! [X0] :
( empty(sK9(X0))
| element(sK19(sK9(sK9(sK9(X0)))),X0)
| empty(X0) ),
inference(resolution,[],[f438,f405]) ).
fof(f438,plain,
! [X0] :
( in(sK19(sK9(sK9(X0))),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f435]) ).
fof(f435,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK19(sK9(sK9(X0))),X0) ),
inference(resolution,[],[f427,f247]) ).
fof(f427,plain,
! [X0] :
( element(sK19(sK9(sK9(X0))),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f423,f203]) ).
fof(f423,plain,
! [X0] :
( empty(sK9(X0))
| element(sK19(sK9(sK9(X0))),X0)
| empty(X0) ),
inference(resolution,[],[f416,f405]) ).
fof(f416,plain,
! [X0] :
( in(sK19(sK9(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f413,plain,
! [X0] :
( empty(X0)
| empty(X0)
| in(sK19(sK9(X0)),X0) ),
inference(resolution,[],[f412,f247]) ).
fof(f412,plain,
! [X0] :
( element(sK19(sK9(X0)),X0)
| empty(X0) ),
inference(subsumption_resolution,[],[f411,f203]) ).
fof(f411,plain,
! [X0] :
( element(sK19(sK9(X0)),X0)
| empty(X0)
| empty(sK9(X0)) ),
inference(resolution,[],[f405,f317]) ).
fof(f317,plain,
! [X0] :
( in(sK19(X0),X0)
| empty(X0) ),
inference(resolution,[],[f247,f241]) ).
fof(f241,plain,
! [X0] : element(sK19(X0),X0),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] : element(sK19(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f30,f159]) ).
fof(f159,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK19(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f7017,plain,
( spl34_14
| spl34_15 ),
inference(avatar_split_clause,[],[f6954,f7014,f7010]) ).
fof(f7010,plain,
( spl34_14
<=> empty_set = sK19(powerset(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_14])]) ).
fof(f7014,plain,
( spl34_15
<=> empty_set = sK19(sK19(powerset(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_15])]) ).
fof(f6954,plain,
( empty_set = sK19(sK19(powerset(powerset(empty_set))))
| empty_set = sK19(powerset(powerset(empty_set))) ),
inference(resolution,[],[f3104,f197]) ).
fof(f3104,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK19(sK19(powerset(powerset(X0))))
| empty_set = sK19(powerset(powerset(X0))) ),
inference(resolution,[],[f2957,f209]) ).
fof(f2957,plain,
! [X0] :
( empty(sK19(powerset(powerset(X0))))
| ~ empty(X0)
| empty_set = sK19(sK19(powerset(powerset(X0)))) ),
inference(resolution,[],[f2943,f209]) ).
fof(f2943,plain,
! [X0] :
( empty(sK19(sK19(powerset(powerset(X0)))))
| empty(sK19(powerset(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f560,f317]) ).
fof(f560,plain,
! [X0,X1] :
( ~ in(X1,sK19(sK19(powerset(powerset(X0)))))
| ~ empty(X0)
| empty(sK19(powerset(powerset(X0)))) ),
inference(resolution,[],[f408,f267]) ).
fof(f408,plain,
! [X0] :
( element(sK19(sK19(powerset(X0))),X0)
| empty(sK19(powerset(X0))) ),
inference(resolution,[],[f407,f317]) ).
fof(f407,plain,
! [X0,X1] :
( ~ in(X0,sK19(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f264,f241]) ).
fof(f6335,plain,
( spl34_12
| spl34_13 ),
inference(avatar_split_clause,[],[f6326,f6332,f6328]) ).
fof(f6332,plain,
( spl34_13
<=> apply_netmap(sK6,sK7,sK11(sK7)) = apply_on_structs(sK7,sK6,the_mapping(sK6,sK7),sK11(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_13])]) ).
fof(f6326,plain,
( apply_netmap(sK6,sK7,sK11(sK7)) = apply_on_structs(sK7,sK6,the_mapping(sK6,sK7),sK11(sK7))
| sP0(sK7) ),
inference(subsumption_resolution,[],[f6325,f190]) ).
fof(f6325,plain,
( apply_netmap(sK6,sK7,sK11(sK7)) = apply_on_structs(sK7,sK6,the_mapping(sK6,sK7),sK11(sK7))
| empty_carrier(sK6)
| sP0(sK7) ),
inference(subsumption_resolution,[],[f6324,f191]) ).
fof(f6324,plain,
( apply_netmap(sK6,sK7,sK11(sK7)) = apply_on_structs(sK7,sK6,the_mapping(sK6,sK7),sK11(sK7))
| ~ one_sorted_str(sK6)
| empty_carrier(sK6)
| sP0(sK7) ),
inference(subsumption_resolution,[],[f6321,f192]) ).
fof(f6321,plain,
( apply_netmap(sK6,sK7,sK11(sK7)) = apply_on_structs(sK7,sK6,the_mapping(sK6,sK7),sK11(sK7))
| empty_carrier(sK7)
| ~ one_sorted_str(sK6)
| empty_carrier(sK6)
| sP0(sK7) ),
inference(resolution,[],[f2589,f194]) ).
fof(f2589,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| apply_netmap(X0,X1,sK11(X1)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK11(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP0(X1) ),
inference(resolution,[],[f220,f215]) ).
fof(f215,plain,
! [X0] :
( element(sK11(X0),the_carrier(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X1))
| apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_waybel_0) ).
fof(f4903,plain,
spl34_9,
inference(avatar_contradiction_clause,[],[f4902]) ).
fof(f4902,plain,
( $false
| spl34_9 ),
inference(subsumption_resolution,[],[f4901,f190]) ).
fof(f4901,plain,
( empty_carrier(sK6)
| spl34_9 ),
inference(subsumption_resolution,[],[f4900,f191]) ).
fof(f4900,plain,
( ~ one_sorted_str(sK6)
| empty_carrier(sK6)
| spl34_9 ),
inference(subsumption_resolution,[],[f4899,f192]) ).
fof(f4899,plain,
( empty_carrier(sK7)
| ~ one_sorted_str(sK6)
| empty_carrier(sK6)
| spl34_9 ),
inference(subsumption_resolution,[],[f4898,f194]) ).
fof(f4898,plain,
( ~ net_str(sK7,sK6)
| empty_carrier(sK7)
| ~ one_sorted_str(sK6)
| empty_carrier(sK6)
| spl34_9 ),
inference(resolution,[],[f4889,f236]) ).
fof(f236,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( sP5(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f92,f128,f127]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( related(X1,X3,X4)
=> in(apply_netmap(X0,X1,X4),X2) ) )
& element(X3,the_carrier(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_waybel_0) ).
fof(f4889,plain,
( ~ sP5(sK6,sK7)
| spl34_9 ),
inference(avatar_component_clause,[],[f4887]) ).
fof(f4897,plain,
( ~ spl34_9
| spl34_10
| ~ spl34_11 ),
inference(avatar_split_clause,[],[f4885,f4894,f4891,f4887]) ).
fof(f4891,plain,
( spl34_10
<=> ! [X0,X1] : sP4(X0,sK7,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_10])]) ).
fof(f4894,plain,
( spl34_11
<=> empty(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_11])]) ).
fof(f4885,plain,
! [X0,X1] :
( ~ empty(sK8)
| sP4(X0,sK7,X1)
| ~ sP5(sK6,sK7) ),
inference(resolution,[],[f4882,f195]) ).
fof(f4882,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_eventually_in(X4,X1,X3)
| ~ empty(X3)
| sP4(X0,X1,X2)
| ~ sP5(X4,X1) ),
inference(resolution,[],[f4856,f229]) ).
fof(f4856,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| sP4(X3,X1,X4)
| ~ empty(X0) ),
inference(resolution,[],[f2416,f258]) ).
fof(f258,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f2416,plain,
! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X0,X1,sK16(X2,X1,X3,sK17(X4,X1,X0))),X4)
| ~ sP4(X4,X1,X0)
| sP4(X2,X1,X3) ),
inference(subsumption_resolution,[],[f2415,f231]) ).
fof(f2415,plain,
! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X0,X1,sK16(X2,X1,X3,sK17(X4,X1,X0))),X4)
| ~ sP4(X4,X1,X0)
| sP4(X2,X1,X3)
| ~ element(sK17(X4,X1,X0),the_carrier(X1)) ),
inference(subsumption_resolution,[],[f2410,f233]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( element(sK16(X0,X1,X2,X3),the_carrier(X1))
| sP4(X0,X1,X2)
| ~ element(X3,the_carrier(X1)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f2410,plain,
! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X0,X1,sK16(X2,X1,X3,sK17(X4,X1,X0))),X4)
| ~ element(sK16(X2,X1,X3,sK17(X4,X1,X0)),the_carrier(X1))
| ~ sP4(X4,X1,X0)
| sP4(X2,X1,X3)
| ~ element(sK17(X4,X1,X0),the_carrier(X1)) ),
inference(resolution,[],[f232,f234]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( related(X1,X3,sK16(X0,X1,X2,X3))
| sP4(X0,X1,X2)
| ~ element(X3,the_carrier(X1)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f2585,plain,
( spl34_5
| ~ spl34_7 ),
inference(avatar_contradiction_clause,[],[f2584]) ).
fof(f2584,plain,
( $false
| spl34_5
| ~ spl34_7 ),
inference(subsumption_resolution,[],[f2537,f995]) ).
fof(f995,plain,
( ~ empty(sK9(sK9(powerset(empty_set))))
| spl34_5 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f994,plain,
( spl34_5
<=> empty(sK9(sK9(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_5])]) ).
fof(f2537,plain,
( empty(sK9(sK9(powerset(empty_set))))
| ~ spl34_7 ),
inference(resolution,[],[f2531,f203]) ).
fof(f2531,plain,
( empty(sK9(sK9(sK9(powerset(empty_set)))))
| ~ spl34_7 ),
inference(avatar_component_clause,[],[f2529]) ).
fof(f2536,plain,
( spl34_7
| spl34_8 ),
inference(avatar_split_clause,[],[f706,f2533,f2529]) ).
fof(f2533,plain,
( spl34_8
<=> in(empty_set,sK9(sK9(sK9(powerset(empty_set))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_8])]) ).
fof(f706,plain,
( in(empty_set,sK9(sK9(sK9(powerset(empty_set)))))
| empty(sK9(sK9(sK9(powerset(empty_set))))) ),
inference(superposition,[],[f317,f680]) ).
fof(f680,plain,
empty_set = sK19(sK9(sK9(sK9(powerset(empty_set))))),
inference(resolution,[],[f664,f197]) ).
fof(f664,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK19(sK9(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f659,f209]) ).
fof(f659,plain,
! [X0] :
( empty(sK19(sK9(sK9(sK9(powerset(X0))))))
| ~ empty(X0) ),
inference(resolution,[],[f488,f317]) ).
fof(f488,plain,
! [X0,X1] :
( ~ in(X1,sK19(sK9(sK9(sK9(powerset(X0))))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f485,f201]) ).
fof(f485,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK19(sK9(sK9(sK9(powerset(X0)))))) ),
inference(resolution,[],[f468,f267]) ).
fof(f1022,plain,
( spl34_3
| ~ spl34_5 ),
inference(avatar_contradiction_clause,[],[f1021]) ).
fof(f1021,plain,
( $false
| spl34_3
| ~ spl34_5 ),
inference(subsumption_resolution,[],[f1002,f491]) ).
fof(f491,plain,
( ~ empty(sK9(powerset(empty_set)))
| spl34_3 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl34_3
<=> empty(sK9(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_3])]) ).
fof(f1002,plain,
( empty(sK9(powerset(empty_set)))
| ~ spl34_5 ),
inference(resolution,[],[f996,f203]) ).
fof(f996,plain,
( empty(sK9(sK9(powerset(empty_set))))
| ~ spl34_5 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f1001,plain,
( spl34_5
| spl34_6 ),
inference(avatar_split_clause,[],[f520,f998,f994]) ).
fof(f998,plain,
( spl34_6
<=> in(empty_set,sK9(sK9(powerset(empty_set)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_6])]) ).
fof(f520,plain,
( in(empty_set,sK9(sK9(powerset(empty_set))))
| empty(sK9(sK9(powerset(empty_set)))) ),
inference(superposition,[],[f317,f501]) ).
fof(f501,plain,
empty_set = sK19(sK9(sK9(powerset(empty_set)))),
inference(resolution,[],[f482,f197]) ).
fof(f482,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK19(sK9(sK9(powerset(X0)))) ),
inference(resolution,[],[f474,f209]) ).
fof(f474,plain,
! [X0] :
( empty(sK19(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(resolution,[],[f440,f317]) ).
fof(f440,plain,
! [X0,X1] :
( ~ in(X1,sK19(sK9(sK9(powerset(X0)))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f437,f201]) ).
fof(f437,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK19(sK9(sK9(powerset(X0))))) ),
inference(resolution,[],[f427,f267]) ).
fof(f497,plain,
( spl34_3
| spl34_4 ),
inference(avatar_split_clause,[],[f456,f494,f490]) ).
fof(f494,plain,
( spl34_4
<=> in(empty_set,sK9(powerset(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f456,plain,
( in(empty_set,sK9(powerset(empty_set)))
| empty(sK9(powerset(empty_set))) ),
inference(superposition,[],[f317,f441]) ).
fof(f441,plain,
empty_set = sK19(sK9(powerset(empty_set))),
inference(resolution,[],[f434,f197]) ).
fof(f434,plain,
! [X0] :
( ~ empty(X0)
| empty_set = sK19(sK9(powerset(X0))) ),
inference(resolution,[],[f428,f209]) ).
fof(f428,plain,
! [X0] :
( empty(sK19(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f418,f317]) ).
fof(f418,plain,
! [X0,X1] :
( ~ in(X1,sK19(sK9(powerset(X0))))
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f415,f201]) ).
fof(f415,plain,
! [X0,X1] :
( empty(powerset(X0))
| ~ empty(X0)
| ~ in(X1,sK19(sK9(powerset(X0)))) ),
inference(resolution,[],[f412,f267]) ).
fof(f352,plain,
~ spl34_2,
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| ~ spl34_2 ),
inference(resolution,[],[f343,f197]) ).
fof(f343,plain,
( ! [X0] : ~ empty(X0)
| ~ spl34_2 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl34_2
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_2])]) ).
fof(f351,plain,
~ spl34_2,
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| ~ spl34_2 ),
inference(resolution,[],[f343,f243]) ).
fof(f243,plain,
! [X0] : empty(sK20(X0)),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( empty(sK20(X0))
& element(sK20(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f44,f161]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK20(X0))
& element(sK20(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f350,plain,
~ spl34_2,
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| ~ spl34_2 ),
inference(resolution,[],[f343,f276]) ).
fof(f276,plain,
empty(sK27),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( relation(sK27)
& empty(sK27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f40,f176]) ).
fof(f176,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK27)
& empty(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f349,plain,
~ spl34_2,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl34_2 ),
inference(resolution,[],[f343,f288]) ).
fof(f288,plain,
empty(sK33),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( function(sK33)
& empty(sK33)
& relation(sK33) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f42,f188]) ).
fof(f188,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK33)
& empty(sK33)
& relation(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f344,plain,
( spl34_1
| spl34_2 ),
inference(avatar_split_clause,[],[f335,f342,f339]) ).
fof(f339,plain,
( spl34_1
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1])]) ).
fof(f335,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,empty_set) ),
inference(resolution,[],[f267,f298]) ).
fof(f298,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f242,f291]) ).
fof(f291,plain,
! [X0] : empty_set = sK20(X0),
inference(resolution,[],[f209,f243]) ).
fof(f242,plain,
! [X0] : element(sK20(X0),powerset(X0)),
inference(cnf_transformation,[],[f162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU376+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n012.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 : Fri May 3 11:36:25 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (19254)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (19257)WARNING: value z3 for option sas not known
% 0.15/0.38 % (19256)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (19258)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (19257)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (19260)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (19255)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (19261)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (19259)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.21/0.40 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.44 TRYING [4]
% 0.21/0.49 TRYING [3]
% 0.21/0.52 TRYING [5]
% 0.21/0.58 TRYING [1]
% 0.21/0.58 TRYING [2]
% 0.21/0.58 TRYING [3]
% 1.85/0.61 TRYING [4]
% 1.85/0.61 TRYING [4]
% 2.00/0.68 TRYING [5]
% 2.00/0.71 TRYING [6]
% 3.73/0.88 TRYING [6]
% 4.12/0.96 % (19257)First to succeed.
% 4.12/0.96 % (19257)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19254"
% 4.12/0.96 % (19257)Refutation found. Thanks to Tanya!
% 4.12/0.96 % SZS status Theorem for theBenchmark
% 4.12/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 4.12/0.96 % (19257)------------------------------
% 4.12/0.96 % (19257)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.12/0.96 % (19257)Termination reason: Refutation
% 4.12/0.96
% 4.12/0.96 % (19257)Memory used [KB]: 10646
% 4.12/0.96 % (19257)Time elapsed: 0.584 s
% 4.12/0.96 % (19257)Instructions burned: 2170 (million)
% 4.12/0.96 % (19254)Success in time 0.592 s
%------------------------------------------------------------------------------