TSTP Solution File: SET682+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : 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 : Wed Aug 31 18:21:52 EDT 2022
% Result : Theorem 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 115 ( 14 unt; 0 def)
% Number of atoms : 487 ( 12 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 601 ( 229 ~; 203 |; 103 &)
% ( 14 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 192 ( 156 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f515,plain,
$false,
inference(avatar_sat_refutation,[],[f271,f418,f514]) ).
fof(f514,plain,
( spl14_3
| spl14_4 ),
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f513,plain,
( $false
| spl14_3
| spl14_4 ),
inference(subsumption_resolution,[],[f508,f101]) ).
fof(f101,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',p24) ).
fof(f508,plain,
( ~ ilf_type(sK2,set_type)
| spl14_3
| spl14_4 ),
inference(unit_resulting_resolution,[],[f504,f119]) ).
fof(f119,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
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',p15) ).
fof(f504,plain,
( empty(power_set(sK2))
| spl14_3
| spl14_4 ),
inference(subsumption_resolution,[],[f503,f101]) ).
fof(f503,plain,
( empty(power_set(sK2))
| ~ ilf_type(power_set(sK2),set_type)
| spl14_3
| spl14_4 ),
inference(subsumption_resolution,[],[f502,f101]) ).
fof(f502,plain,
( ~ ilf_type(range_of(sK3),set_type)
| ~ ilf_type(power_set(sK2),set_type)
| empty(power_set(sK2))
| spl14_3
| spl14_4 ),
inference(subsumption_resolution,[],[f501,f247]) ).
fof(f247,plain,
ilf_type(range_of(sK3),member_type(power_set(sK2))),
inference(subsumption_resolution,[],[f246,f101]) ).
fof(f246,plain,
( ~ ilf_type(range_of(sK3),set_type)
| ilf_type(range_of(sK3),member_type(power_set(sK2))) ),
inference(subsumption_resolution,[],[f245,f101]) ).
fof(f245,plain,
( ~ ilf_type(sK2,set_type)
| ilf_type(range_of(sK3),member_type(power_set(sK2)))
| ~ ilf_type(range_of(sK3),set_type) ),
inference(resolution,[],[f160,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) )
| ~ 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',p12) ).
fof(f160,plain,
ilf_type(range_of(sK3),subset_type(sK2)),
inference(forward_demodulation,[],[f150,f158]) ).
fof(f158,plain,
range_of(sK3) = range(sK1,sK2,sK3),
inference(subsumption_resolution,[],[f157,f101]) ).
fof(f157,plain,
( ~ ilf_type(sK2,set_type)
| range_of(sK3) = range(sK1,sK2,sK3) ),
inference(subsumption_resolution,[],[f154,f101]) ).
fof(f154,plain,
( ~ ilf_type(sK1,set_type)
| ~ ilf_type(sK2,set_type)
| range_of(sK3) = range(sK1,sK2,sK3) ),
inference(resolution,[],[f99,f111]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| range(X0,X1,X2) = range_of(X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ) ) ),
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',p22) ).
fof(f99,plain,
ilf_type(sK3,relation_type(sK1,sK2)),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ~ empty(sK2)
& ilf_type(sK3,relation_type(sK1,sK2))
& ! [X4] :
( ~ ilf_type(X4,member_type(sK2))
| ~ member(X4,range(sK1,sK2,sK3)) )
& ilf_type(sK4,member_type(sK1))
& member(sK4,domain(sK1,sK2,sK3))
& ilf_type(sK2,set_type)
& ~ empty(sK1)
& ilf_type(sK1,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f37,f63,f62,f61,f60]) ).
fof(f60,plain,
( ? [X0] :
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(X4,range(X0,X1,X2)) )
& ilf_type(X3,member_type(X0))
& member(X3,domain(X0,X1,X2)) ) )
& ilf_type(X1,set_type) )
& ~ empty(X0)
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(sK1,X1))
& ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(X4,range(sK1,X1,X2)) )
& ilf_type(X3,member_type(sK1))
& member(X3,domain(sK1,X1,X2)) ) )
& ilf_type(X1,set_type) )
& ~ empty(sK1)
& ilf_type(sK1,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(sK1,X1))
& ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(X4,range(sK1,X1,X2)) )
& ilf_type(X3,member_type(sK1))
& member(X3,domain(sK1,X1,X2)) ) )
& ilf_type(X1,set_type) )
=> ( ~ empty(sK2)
& ? [X2] :
( ilf_type(X2,relation_type(sK1,sK2))
& ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,member_type(sK2))
| ~ member(X4,range(sK1,sK2,X2)) )
& ilf_type(X3,member_type(sK1))
& member(X3,domain(sK1,sK2,X2)) ) )
& ilf_type(sK2,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X2] :
( ilf_type(X2,relation_type(sK1,sK2))
& ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,member_type(sK2))
| ~ member(X4,range(sK1,sK2,X2)) )
& ilf_type(X3,member_type(sK1))
& member(X3,domain(sK1,sK2,X2)) ) )
=> ( ilf_type(sK3,relation_type(sK1,sK2))
& ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,member_type(sK2))
| ~ member(X4,range(sK1,sK2,sK3)) )
& ilf_type(X3,member_type(sK1))
& member(X3,domain(sK1,sK2,sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,member_type(sK2))
| ~ member(X4,range(sK1,sK2,sK3)) )
& ilf_type(X3,member_type(sK1))
& member(X3,domain(sK1,sK2,sK3)) )
=> ( ! [X4] :
( ~ ilf_type(X4,member_type(sK2))
| ~ member(X4,range(sK1,sK2,sK3)) )
& ilf_type(sK4,member_type(sK1))
& member(sK4,domain(sK1,sK2,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] :
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(X4,range(X0,X1,X2)) )
& ilf_type(X3,member_type(X0))
& member(X3,domain(X0,X1,X2)) ) )
& ilf_type(X1,set_type) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(X4,range(X0,X1,X2)) )
& member(X3,domain(X0,X1,X2))
& ilf_type(X3,member_type(X0)) )
& ilf_type(X2,relation_type(X0,X1)) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [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] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [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',prove_relset_1_49) ).
fof(f150,plain,
ilf_type(range(sK1,sK2,sK3),subset_type(sK2)),
inference(unit_resulting_resolution,[],[f101,f101,f99,f114]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) )
| ~ ilf_type(X1,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',p23) ).
fof(f501,plain,
( ~ ilf_type(range_of(sK3),member_type(power_set(sK2)))
| empty(power_set(sK2))
| ~ ilf_type(power_set(sK2),set_type)
| ~ ilf_type(range_of(sK3),set_type)
| spl14_3
| spl14_4 ),
inference(resolution,[],[f463,f112]) ).
fof(f112,plain,
! [X0,X1] :
( member(X0,X1)
| empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) ) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f463,plain,
( ~ member(range_of(sK3),power_set(sK2))
| spl14_3
| spl14_4 ),
inference(unit_resulting_resolution,[],[f101,f272,f101,f101,f425,f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| member(X2,X1)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ( member(sK9(X0,X1),X0)
& ~ member(sK9(X0,X1),X1)
& ilf_type(sK9(X0,X1),set_type) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f81,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1)
& ilf_type(X3,set_type) )
=> ( member(sK9(X0,X1),X0)
& ~ member(sK9(X0,X1),X1)
& ilf_type(sK9(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1)
& ilf_type(X3,set_type) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1)
& ilf_type(X2,set_type) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
<=> member(X0,power_set(X1)) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f48]) ).
fof(f48,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',p14) ).
fof(f425,plain,
( member(sK5(range_of(sK3)),range_of(sK3))
| spl14_3 ),
inference(unit_resulting_resolution,[],[f101,f265,f106]) ).
fof(f106,plain,
! [X0] :
( member(sK5(X0),X0)
| empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ( ilf_type(sK5(X0),set_type)
& member(sK5(X0),X0) ) )
& ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0) )
| ~ empty(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f67,f68]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) )
=> ( ilf_type(sK5(X0),set_type)
& member(sK5(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) ) )
& ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0) )
| ~ empty(X0) ) ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) ) )
& ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) )
| ~ empty(X0) ) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ) ) ),
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',p6) ).
fof(f265,plain,
( ~ empty(range_of(sK3))
| spl14_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl14_3
<=> empty(range_of(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f272,plain,
( ~ member(sK5(range_of(sK3)),sK2)
| spl14_4 ),
inference(unit_resulting_resolution,[],[f100,f101,f101,f270,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f74]) ).
fof(f270,plain,
( ~ ilf_type(sK5(range_of(sK3)),member_type(sK2))
| spl14_4 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl14_4
<=> ilf_type(sK5(range_of(sK3)),member_type(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f100,plain,
~ empty(sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f418,plain,
~ spl14_3,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f401,f101]) ).
fof(f401,plain,
( ~ ilf_type(sK1,set_type)
| ~ spl14_3 ),
inference(unit_resulting_resolution,[],[f299,f101,f162,f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ) ) ),
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',p18) ).
fof(f162,plain,
ilf_type(sK3,subset_type(cross_product(sK1,sK2))),
inference(subsumption_resolution,[],[f161,f101]) ).
fof(f161,plain,
( ~ ilf_type(sK2,set_type)
| ilf_type(sK3,subset_type(cross_product(sK1,sK2))) ),
inference(subsumption_resolution,[],[f156,f101]) ).
fof(f156,plain,
( ilf_type(sK3,subset_type(cross_product(sK1,sK2)))
| ~ ilf_type(sK1,set_type)
| ~ ilf_type(sK2,set_type) ),
inference(resolution,[],[f99,f116]) ).
fof(f116,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(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',p2) ).
fof(f299,plain,
( ~ relation_like(sK3)
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f298,f101]) ).
fof(f298,plain,
( ~ relation_like(sK3)
| ~ ilf_type(sK3,set_type)
| ~ spl14_3 ),
inference(resolution,[],[f286,f141]) ).
fof(f141,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,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',p10) ).
fof(f286,plain,
( ~ ilf_type(sK3,binary_relation_type)
| ~ spl14_3 ),
inference(unit_resulting_resolution,[],[f101,f166,f278,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| member(sK8(X1),range_of(X1))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( member(sK8(X1),range_of(X1))
& ilf_type(sK8(X1),set_type) )
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f29,f78]) ).
fof(f78,plain,
! [X1] :
( ? [X2] :
( member(X2,range_of(X1))
& ilf_type(X2,set_type) )
=> ( member(sK8(X1),range_of(X1))
& ilf_type(sK8(X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ? [X2] :
( member(X2,range_of(X1))
& ilf_type(X2,set_type) )
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ) ),
inference(flattening,[],[f28]) ).
fof(f28,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',p1) ).
fof(f278,plain,
( ! [X0] : ~ member(X0,range_of(sK3))
| ~ spl14_3 ),
inference(unit_resulting_resolution,[],[f101,f101,f266,f105]) ).
fof(f105,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f69]) ).
fof(f266,plain,
( empty(range_of(sK3))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f166,plain,
member(sK4,domain_of(sK3)),
inference(backward_demodulation,[],[f96,f164]) ).
fof(f164,plain,
domain_of(sK3) = domain(sK1,sK2,sK3),
inference(subsumption_resolution,[],[f163,f101]) ).
fof(f163,plain,
( ~ ilf_type(sK2,set_type)
| domain_of(sK3) = domain(sK1,sK2,sK3) ),
inference(subsumption_resolution,[],[f155,f101]) ).
fof(f155,plain,
( ~ ilf_type(sK1,set_type)
| ~ ilf_type(sK2,set_type)
| domain_of(sK3) = domain(sK1,sK2,sK3) ),
inference(resolution,[],[f99,f140]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| domain(X0,X1,X2) = domain_of(X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [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) ) ) ),
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',p20) ).
fof(f96,plain,
member(sK4,domain(sK1,sK2,sK3)),
inference(cnf_transformation,[],[f64]) ).
fof(f271,plain,
( spl14_3
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f186,f268,f264]) ).
fof(f186,plain,
( ~ ilf_type(sK5(range_of(sK3)),member_type(sK2))
| empty(range_of(sK3)) ),
inference(subsumption_resolution,[],[f184,f101]) ).
fof(f184,plain,
( ~ ilf_type(sK5(range_of(sK3)),member_type(sK2))
| empty(range_of(sK3))
| ~ ilf_type(range_of(sK3),set_type) ),
inference(resolution,[],[f159,f106]) ).
fof(f159,plain,
! [X4] :
( ~ member(X4,range_of(sK3))
| ~ ilf_type(X4,member_type(sK2)) ),
inference(backward_demodulation,[],[f98,f158]) ).
fof(f98,plain,
! [X4] :
( ~ member(X4,range(sK1,sK2,sK3))
| ~ ilf_type(X4,member_type(sK2)) ),
inference(cnf_transformation,[],[f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30 % Computer : n019.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 14:17:05 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.45 % (23723)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.46 % (23723)Refutation not found, incomplete strategy% (23723)------------------------------
% 0.15/0.46 % (23723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (23723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46 % (23723)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.46
% 0.15/0.46 % (23723)Memory used [KB]: 6012
% 0.15/0.46 % (23723)Time elapsed: 0.104 s
% 0.15/0.46 % (23723)Instructions burned: 5 (million)
% 0.15/0.46 % (23723)------------------------------
% 0.15/0.46 % (23723)------------------------------
% 0.15/0.46 % (23738)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.15/0.46 % (23740)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.47 % (23731)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.47 % (23724)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.47 % (23747)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.47 % (23730)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (23742)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.48 % (23747)Refutation not found, incomplete strategy% (23747)------------------------------
% 0.15/0.48 % (23747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (23747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (23747)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48
% 0.15/0.48 % (23747)Memory used [KB]: 6012
% 0.15/0.48 % (23747)Time elapsed: 0.123 s
% 0.15/0.48 % (23747)Instructions burned: 4 (million)
% 0.15/0.48 % (23747)------------------------------
% 0.15/0.48 % (23747)------------------------------
% 0.15/0.48 % (23748)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.15/0.48 % (23733)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.48 % (23738)Instruction limit reached!
% 0.15/0.48 % (23738)------------------------------
% 0.15/0.48 % (23738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (23733)Instruction limit reached!
% 0.15/0.48 % (23733)------------------------------
% 0.15/0.48 % (23733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (23733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (23733)Termination reason: Unknown
% 0.15/0.48 % (23733)Termination phase: shuffling
% 0.15/0.48
% 0.15/0.48 % (23733)Memory used [KB]: 1407
% 0.15/0.48 % (23733)Time elapsed: 0.005 s
% 0.15/0.48 % (23733)Instructions burned: 3 (million)
% 0.15/0.48 % (23733)------------------------------
% 0.15/0.48 % (23733)------------------------------
% 0.15/0.48 % (23732)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.48 % (23730)Instruction limit reached!
% 0.15/0.48 % (23730)------------------------------
% 0.15/0.48 % (23730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (23741)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.49 % (23725)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.49 % (23746)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.49 % (23722)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.49 % (23730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (23731)Instruction limit reached!
% 0.15/0.49 % (23731)------------------------------
% 0.15/0.49 % (23731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (23730)Termination reason: Unknown
% 0.15/0.49 % (23731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (23731)Termination reason: Unknown
% 0.15/0.49 % (23731)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (23731)Memory used [KB]: 1663
% 0.15/0.49 % (23731)Time elapsed: 0.149 s
% 0.15/0.49 % (23731)Instructions burned: 16 (million)
% 0.15/0.49 % (23731)------------------------------
% 0.15/0.49 % (23731)------------------------------
% 0.15/0.49 % (23730)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (23730)Memory used [KB]: 6140
% 0.15/0.49 % (23730)Time elapsed: 0.113 s
% 0.15/0.49 % (23730)Instructions burned: 7 (million)
% 0.15/0.49 % (23730)------------------------------
% 0.15/0.49 % (23730)------------------------------
% 0.15/0.49 % (23738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (23738)Termination reason: Unknown
% 0.15/0.49 % (23738)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (23738)Memory used [KB]: 6268
% 0.15/0.49 % (23738)Time elapsed: 0.106 s
% 0.15/0.49 % (23738)Instructions burned: 11 (million)
% 0.15/0.49 % (23738)------------------------------
% 0.15/0.49 % (23738)------------------------------
% 0.15/0.49 % (23725)Refutation not found, incomplete strategy% (23725)------------------------------
% 0.15/0.49 % (23725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (23725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (23725)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.49
% 0.15/0.49 % (23725)Memory used [KB]: 6012
% 0.15/0.49 % (23725)Time elapsed: 0.075 s
% 0.15/0.49 % (23725)Instructions burned: 5 (million)
% 0.15/0.49 % (23725)------------------------------
% 0.15/0.49 % (23725)------------------------------
% 0.15/0.50 % (23720)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.50 % (23724)Instruction limit reached!
% 0.15/0.50 % (23724)------------------------------
% 0.15/0.50 % (23724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (23724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (23724)Termination reason: Unknown
% 0.15/0.50 % (23724)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (23724)Memory used [KB]: 1663
% 0.15/0.50 % (23724)Time elapsed: 0.129 s
% 0.15/0.50 % (23724)Instructions burned: 15 (million)
% 0.15/0.50 % (23724)------------------------------
% 0.15/0.50 % (23724)------------------------------
% 0.15/0.51 % (23740)First to succeed.
% 0.15/0.51 % (23721)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.51 % (23745)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.51 % (23721)Instruction limit reached!
% 0.15/0.51 % (23721)------------------------------
% 0.15/0.51 % (23721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (23721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (23721)Termination reason: Unknown
% 0.15/0.51 % (23721)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (23721)Memory used [KB]: 1535
% 0.15/0.51 % (23721)Time elapsed: 0.003 s
% 0.15/0.51 % (23721)Instructions burned: 3 (million)
% 0.15/0.51 % (23721)------------------------------
% 0.15/0.51 % (23721)------------------------------
% 0.15/0.51 % (23740)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Theorem for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (23740)------------------------------
% 0.15/0.51 % (23740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (23740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (23740)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (23740)Memory used [KB]: 6268
% 0.15/0.51 % (23740)Time elapsed: 0.143 s
% 0.15/0.51 % (23740)Instructions burned: 16 (million)
% 0.15/0.51 % (23740)------------------------------
% 0.15/0.51 % (23740)------------------------------
% 0.15/0.51 % (23718)Success in time 0.191 s
%------------------------------------------------------------------------------