TSTP Solution File: SET682+3 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SET682+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n019.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 : Mon Jun 24 14:59:24 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 102 ( 13 unt; 0 def)
% Number of atoms : 340 ( 12 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 402 ( 164 ~; 148 |; 31 &)
% ( 14 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 201 ( 188 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1054,plain,
$false,
inference(avatar_sat_refutation,[],[f297,f308,f1029]) ).
fof(f1029,plain,
~ spl14_11,
inference(avatar_contradiction_clause,[],[f1028]) ).
fof(f1028,plain,
( $false
| ~ spl14_11 ),
inference(subsumption_resolution,[],[f990,f348]) ).
fof(f348,plain,
( ~ member(sK8(sK2),sK1)
| ~ spl14_11 ),
inference(resolution,[],[f310,f152]) ).
fof(f152,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f151,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f114,f66]) ).
fof(f66,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f114,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f77,f66]) ).
fof(f77,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f151,plain,
! [X0,X1] :
( empty(X1)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(subsumption_resolution,[],[f150,f66]) ).
fof(f150,plain,
! [X0,X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(subsumption_resolution,[],[f100,f66]) ).
fof(f100,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| empty(X1)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f310,plain,
( ~ ilf_type(sK8(sK2),member_type(sK1))
| ~ spl14_11 ),
inference(resolution,[],[f292,f270]) ).
fof(f270,plain,
! [X4] :
( ~ member(X4,range_of(sK2))
| ~ ilf_type(X4,member_type(sK1)) ),
inference(backward_demodulation,[],[f58,f264]) ).
fof(f264,plain,
range(sK0,sK1,sK2) = range_of(sK2),
inference(resolution,[],[f135,f61]) ).
fof(f61,plain,
ilf_type(sK2,relation_type(sK0,sK1)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(X0,X1,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,domain(X0,X1,X2))
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ member(X4,range(X0,X1,X2))
| ~ ilf_type(X4,member_type(X1)) )
& member(X3,domain(X0,X1,X2))
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,domain(X0,X1,X2))
=> ? [X4] :
( member(X4,range(X0,X1,X2))
& ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,domain(X0,X1,X2))
=> ? [X4] :
( member(X4,range(X0,X1,X2))
& ilf_type(X4,member_type(X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(subsumption_resolution,[],[f134,f66]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(subsumption_resolution,[],[f94,f66]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f58,plain,
! [X4] :
( ~ member(X4,range(sK0,sK1,sK2))
| ~ ilf_type(X4,member_type(sK1)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f292,plain,
( member(sK8(sK2),range_of(sK2))
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl14_11
<=> member(sK8(sK2),range_of(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f990,plain,
( member(sK8(sK2),sK1)
| ~ spl14_11 ),
inference(resolution,[],[f532,f292]) ).
fof(f532,plain,
! [X0] :
( ~ member(X0,range_of(sK2))
| member(X0,sK1) ),
inference(resolution,[],[f333,f219]) ).
fof(f219,plain,
ilf_type(range_of(sK2),subset_type(sK1)),
inference(resolution,[],[f143,f61]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range_of(X2),subset_type(X1)) ),
inference(forward_subsumption_demodulation,[],[f142,f135]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(subsumption_resolution,[],[f141,f66]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(subsumption_resolution,[],[f97,f66]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(resolution,[],[f178,f129]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(subsumption_resolution,[],[f128,f66]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f127,f66]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f88,f66]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f178,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(subsumption_resolution,[],[f174,f106]) ).
fof(f106,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f69,f66]) ).
fof(f69,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f174,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f149,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f130,f66]) ).
fof(f130,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f93,f66]) ).
fof(f93,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f149,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f148,f66]) ).
fof(f148,plain,
! [X0,X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(subsumption_resolution,[],[f101,f66]) ).
fof(f101,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| empty(X1)
| ~ ilf_type(X1,set_type)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f308,plain,
spl14_12,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| spl14_12 ),
inference(subsumption_resolution,[],[f305,f298]) ).
fof(f298,plain,
( ~ relation_like(sK2)
| spl14_12 ),
inference(resolution,[],[f296,f116]) ).
fof(f116,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f81,f66]) ).
fof(f81,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f296,plain,
( ~ ilf_type(sK2,binary_relation_type)
| spl14_12 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl14_12
<=> ilf_type(sK2,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f305,plain,
relation_like(sK2),
inference(resolution,[],[f224,f61]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f122,f145]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f144,f66]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f98,f66]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f122,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f121,f66]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f86,f66]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f297,plain,
( spl14_11
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f286,f294,f290]) ).
fof(f286,plain,
( ~ ilf_type(sK2,binary_relation_type)
| member(sK8(sK2),range_of(sK2)) ),
inference(resolution,[],[f283,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| member(sK8(X1),range_of(X1)) ),
inference(subsumption_resolution,[],[f83,f66]) ).
fof(f83,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,domain_of(X1))
| member(sK8(X1),range_of(X1)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( member(X2,range_of(X1))
& ilf_type(X2,set_type) )
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( member(X2,range_of(X1))
& ilf_type(X2,set_type) )
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,domain_of(X1))
=> ? [X2] :
( member(X2,range_of(X1))
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f283,plain,
member(sK3,domain_of(sK2)),
inference(backward_demodulation,[],[f60,f278]) ).
fof(f278,plain,
domain(sK0,sK1,sK2) = domain_of(sK2),
inference(resolution,[],[f137,f61]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(subsumption_resolution,[],[f136,f66]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(subsumption_resolution,[],[f95,f66]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f60,plain,
member(sK3,domain(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET682+3 : TPTP v8.2.0. Released v2.2.0.
% 0.12/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 17:53:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41 % (3472)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (3474)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.12/0.41 % (3472)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (3478)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.12/0.41 % (3472)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (3476)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.12/0.41 % (3472)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (3475)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.42 % (3472)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3473)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.42 % (3472)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (3479)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.43 TRYING [3]
% 0.20/0.43 % (3472)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (3477)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.43 TRYING [10]
% 0.20/0.45 TRYING [4]
% 0.20/0.46 % (3477)First to succeed.
% 0.20/0.46 % (3477)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3472"
% 0.20/0.46 % (3472)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.46 % (3477)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (3477)------------------------------
% 0.20/0.46 % (3477)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.46 % (3477)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.46 % (3477)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (3477)Memory used [KB]: 1348
% 0.20/0.46 % (3477)Time elapsed: 0.033 s
% 0.20/0.46 % (3477)Instructions burned: 47 (million)
% 0.20/0.46 % (3477)------------------------------
% 0.20/0.46 % (3477)------------------------------
% 0.20/0.46 % (3472)Success in time 0.103 s
%------------------------------------------------------------------------------