TSTP Solution File: SEU348+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU348+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n017.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 18:33:21 EDT 2022
% Result : Theorem 1.51s 0.55s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 16 unt; 3 typ; 0 def)
% Number of atoms : 305 ( 18 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 371 ( 142 ~; 152 |; 57 &)
% ( 5 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 80 !; 20 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_32,type,
sQ20_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_33,type,
sQ21_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_34,type,
sQ22_eqProxy: ( $real * $real ) > $o ).
fof(f671,plain,
$false,
inference(subsumption_resolution,[],[f669,f663]) ).
fof(f663,plain,
~ relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11),
inference(subsumption_resolution,[],[f609,f662]) ).
fof(f662,plain,
latt_set_smaller(sK9,sK11,sK10),
inference(duplicate_literal_removal,[],[f661]) ).
fof(f661,plain,
( latt_set_smaller(sK9,sK11,sK10)
| latt_set_smaller(sK9,sK11,sK10) ),
inference(resolution,[],[f660,f608]) ).
fof(f608,plain,
( relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11)
| latt_set_smaller(sK9,sK11,sK10) ),
inference(backward_demodulation,[],[f373,f604]) ).
fof(f604,plain,
sK11 = cast_to_el_of_lattice(sK9,sK11),
inference(resolution,[],[f591,f396]) ).
fof(f396,plain,
element(sK11,the_carrier(poset_of_lattice(sK9))),
inference(literal_reordering,[],[f251]) ).
fof(f251,plain,
element(sK11,the_carrier(poset_of_lattice(sK9))),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( latt_str(sK9)
& lattice(sK9)
& ~ empty_carrier(sK9)
& element(sK11,the_carrier(poset_of_lattice(sK9)))
& ( ~ relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11)
| ~ latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,sK11),sK10) )
& ( relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11)
| latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,sK11),sK10) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f169,f171,f170]) ).
fof(f170,plain,
( ? [X0,X1] :
( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X0)))
& ( ~ relstr_element_smaller(poset_of_lattice(X0),X1,X2)
| ~ latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1) )
& ( relstr_element_smaller(poset_of_lattice(X0),X1,X2)
| latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1) ) ) )
=> ( latt_str(sK9)
& lattice(sK9)
& ~ empty_carrier(sK9)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(sK9)))
& ( ~ relstr_element_smaller(poset_of_lattice(sK9),sK10,X2)
| ~ latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,X2),sK10) )
& ( relstr_element_smaller(poset_of_lattice(sK9),sK10,X2)
| latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,X2),sK10) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
( ? [X2] :
( element(X2,the_carrier(poset_of_lattice(sK9)))
& ( ~ relstr_element_smaller(poset_of_lattice(sK9),sK10,X2)
| ~ latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,X2),sK10) )
& ( relstr_element_smaller(poset_of_lattice(sK9),sK10,X2)
| latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,X2),sK10) ) )
=> ( element(sK11,the_carrier(poset_of_lattice(sK9)))
& ( ~ relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11)
| ~ latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,sK11),sK10) )
& ( relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11)
| latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,sK11),sK10) ) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1] :
( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X0)))
& ( ~ relstr_element_smaller(poset_of_lattice(X0),X1,X2)
| ~ latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1) )
& ( relstr_element_smaller(poset_of_lattice(X0),X1,X2)
| latt_set_smaller(X0,cast_to_el_of_lattice(X0,X2),X1) ) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
? [X1,X0] :
( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
& ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,X2)
| ~ latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
| latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
? [X1,X0] :
( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
& ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,X2)
| ~ latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
| latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
? [X1,X0] :
( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1)
& ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
& ( latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
<~> relstr_element_smaller(poset_of_lattice(X1),X0,X2) ) ) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
? [X1,X0] :
( ? [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
& ( latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
<~> relstr_element_smaller(poset_of_lattice(X1),X0,X2) ) )
& latt_str(X1)
& ~ empty_carrier(X1)
& lattice(X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,negated_conjecture,
~ ! [X1,X0] :
( ( latt_str(X1)
& ~ empty_carrier(X1)
& lattice(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
! [X1,X0] :
( ( latt_str(X1)
& ~ empty_carrier(X1)
& lattice(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_lattice3) ).
fof(f591,plain,
! [X0] :
( ~ element(X0,the_carrier(poset_of_lattice(sK9)))
| cast_to_el_of_lattice(sK9,X0) = X0 ),
inference(subsumption_resolution,[],[f590,f305]) ).
fof(f305,plain,
latt_str(sK9),
inference(literal_reordering,[],[f254]) ).
fof(f254,plain,
latt_str(sK9),
inference(cnf_transformation,[],[f172]) ).
fof(f590,plain,
! [X0] :
( ~ element(X0,the_carrier(poset_of_lattice(sK9)))
| ~ latt_str(sK9)
| cast_to_el_of_lattice(sK9,X0) = X0 ),
inference(subsumption_resolution,[],[f589,f328]) ).
fof(f328,plain,
~ empty_carrier(sK9),
inference(literal_reordering,[],[f252]) ).
fof(f252,plain,
~ empty_carrier(sK9),
inference(cnf_transformation,[],[f172]) ).
fof(f589,plain,
! [X0] :
( ~ element(X0,the_carrier(poset_of_lattice(sK9)))
| empty_carrier(sK9)
| ~ latt_str(sK9)
| cast_to_el_of_lattice(sK9,X0) = X0 ),
inference(resolution,[],[f366,f335]) ).
fof(f335,plain,
lattice(sK9),
inference(literal_reordering,[],[f253]) ).
fof(f253,plain,
lattice(sK9),
inference(cnf_transformation,[],[f172]) ).
fof(f366,plain,
! [X0,X1] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| cast_to_el_of_lattice(X0,X1) = X1
| ~ latt_str(X0) ),
inference(literal_reordering,[],[f283]) ).
fof(f283,plain,
! [X0,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ lattice(X0)
| cast_to_el_of_lattice(X0,X1) = X1
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| ! [X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| cast_to_el_of_lattice(X0,X1) = X1 )
| empty_carrier(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| cast_to_el_of_lattice(X0,X1) = X1 )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(poset_of_lattice(X0)))
=> cast_to_el_of_lattice(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_lattice3) ).
fof(f373,plain,
( relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11)
| latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,sK11),sK10) ),
inference(literal_reordering,[],[f249]) ).
fof(f249,plain,
( latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,sK11),sK10)
| relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11) ),
inference(cnf_transformation,[],[f172]) ).
fof(f660,plain,
! [X0] :
( ~ relstr_element_smaller(poset_of_lattice(sK9),X0,sK11)
| latt_set_smaller(sK9,sK11,X0) ),
inference(subsumption_resolution,[],[f658,f653]) ).
fof(f653,plain,
element(sK11,the_carrier(sK9)),
inference(subsumption_resolution,[],[f651,f396]) ).
fof(f651,plain,
( ~ element(sK11,the_carrier(poset_of_lattice(sK9)))
| element(sK11,the_carrier(sK9)) ),
inference(superposition,[],[f613,f604]) ).
fof(f613,plain,
! [X0] :
( element(cast_to_el_of_lattice(sK9,X0),the_carrier(sK9))
| ~ element(X0,the_carrier(poset_of_lattice(sK9))) ),
inference(subsumption_resolution,[],[f612,f305]) ).
fof(f612,plain,
! [X0] :
( ~ latt_str(sK9)
| element(cast_to_el_of_lattice(sK9,X0),the_carrier(sK9))
| ~ element(X0,the_carrier(poset_of_lattice(sK9))) ),
inference(subsumption_resolution,[],[f611,f328]) ).
fof(f611,plain,
! [X0] :
( empty_carrier(sK9)
| ~ element(X0,the_carrier(poset_of_lattice(sK9)))
| ~ latt_str(sK9)
| element(cast_to_el_of_lattice(sK9,X0),the_carrier(sK9)) ),
inference(resolution,[],[f347,f335]) ).
fof(f347,plain,
! [X0,X1] :
( ~ lattice(X0)
| ~ latt_str(X0)
| element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0))) ),
inference(literal_reordering,[],[f269]) ).
fof(f269,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X1,X0] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ( ~ empty_carrier(X0)
& element(X1,the_carrier(poset_of_lattice(X0)))
& latt_str(X0)
& lattice(X0) )
=> element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattice3) ).
fof(f658,plain,
! [X0] :
( ~ element(sK11,the_carrier(sK9))
| latt_set_smaller(sK9,sK11,X0)
| ~ relstr_element_smaller(poset_of_lattice(sK9),X0,sK11) ),
inference(superposition,[],[f649,f654]) ).
fof(f654,plain,
sK11 = cast_to_el_of_LattPOSet(sK9,sK11),
inference(resolution,[],[f653,f587]) ).
fof(f587,plain,
! [X0] :
( ~ element(X0,the_carrier(sK9))
| cast_to_el_of_LattPOSet(sK9,X0) = X0 ),
inference(subsumption_resolution,[],[f586,f328]) ).
fof(f586,plain,
! [X0] :
( cast_to_el_of_LattPOSet(sK9,X0) = X0
| ~ element(X0,the_carrier(sK9))
| empty_carrier(sK9) ),
inference(subsumption_resolution,[],[f585,f305]) ).
fof(f585,plain,
! [X0] :
( cast_to_el_of_LattPOSet(sK9,X0) = X0
| ~ latt_str(sK9)
| ~ element(X0,the_carrier(sK9))
| empty_carrier(sK9) ),
inference(resolution,[],[f377,f335]) ).
fof(f377,plain,
! [X0,X1] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| cast_to_el_of_LattPOSet(X0,X1) = X1 ),
inference(literal_reordering,[],[f279]) ).
fof(f279,plain,
! [X0,X1] :
( ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| cast_to_el_of_LattPOSet(X0,X1) = X1 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) ) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f649,plain,
! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK9),X1,cast_to_el_of_LattPOSet(sK9,X0))
| latt_set_smaller(sK9,X0,X1)
| ~ element(X0,the_carrier(sK9)) ),
inference(subsumption_resolution,[],[f648,f328]) ).
fof(f648,plain,
! [X0,X1] :
( latt_set_smaller(sK9,X0,X1)
| empty_carrier(sK9)
| ~ element(X0,the_carrier(sK9))
| ~ relstr_element_smaller(poset_of_lattice(sK9),X1,cast_to_el_of_LattPOSet(sK9,X0)) ),
inference(subsumption_resolution,[],[f647,f305]) ).
fof(f647,plain,
! [X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(sK9),X1,cast_to_el_of_LattPOSet(sK9,X0))
| ~ element(X0,the_carrier(sK9))
| ~ latt_str(sK9)
| latt_set_smaller(sK9,X0,X1)
| empty_carrier(sK9) ),
inference(resolution,[],[f381,f335]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| latt_set_smaller(X0,X2,X1)
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ~ element(X2,the_carrier(X0)) ),
inference(literal_reordering,[],[f273]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| latt_set_smaller(X0,X2,X1)
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ~ latt_set_smaller(X0,X2,X1) )
& ( latt_set_smaller(X0,X2,X1)
| ~ relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X1,X0] :
( ! [X2] :
( ( ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_set_smaller(X1,X2,X0) )
& ( latt_set_smaller(X1,X2,X0)
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) )
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
( ! [X2] :
( ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
<=> latt_set_smaller(X1,X2,X0) )
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
<=> latt_set_smaller(X1,X2,X0) )
| ~ element(X2,the_carrier(X1)) )
| ~ latt_str(X1)
| empty_carrier(X1)
| ~ lattice(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( latt_str(X1)
& ~ empty_carrier(X1)
& lattice(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
<=> latt_set_smaller(X1,X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattice3) ).
fof(f609,plain,
( ~ latt_set_smaller(sK9,sK11,sK10)
| ~ relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11) ),
inference(backward_demodulation,[],[f319,f604]) ).
fof(f319,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11)
| ~ latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,sK11),sK10) ),
inference(literal_reordering,[],[f250]) ).
fof(f250,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11)
| ~ latt_set_smaller(sK9,cast_to_el_of_lattice(sK9,sK11),sK10) ),
inference(cnf_transformation,[],[f172]) ).
fof(f669,plain,
relstr_element_smaller(poset_of_lattice(sK9),sK10,sK11),
inference(forward_demodulation,[],[f668,f654]) ).
fof(f668,plain,
relstr_element_smaller(poset_of_lattice(sK9),sK10,cast_to_el_of_LattPOSet(sK9,sK11)),
inference(subsumption_resolution,[],[f667,f335]) ).
fof(f667,plain,
( relstr_element_smaller(poset_of_lattice(sK9),sK10,cast_to_el_of_LattPOSet(sK9,sK11))
| ~ lattice(sK9) ),
inference(subsumption_resolution,[],[f666,f305]) ).
fof(f666,plain,
( ~ latt_str(sK9)
| ~ lattice(sK9)
| relstr_element_smaller(poset_of_lattice(sK9),sK10,cast_to_el_of_LattPOSet(sK9,sK11)) ),
inference(subsumption_resolution,[],[f665,f653]) ).
fof(f665,plain,
( relstr_element_smaller(poset_of_lattice(sK9),sK10,cast_to_el_of_LattPOSet(sK9,sK11))
| ~ element(sK11,the_carrier(sK9))
| ~ latt_str(sK9)
| ~ lattice(sK9) ),
inference(subsumption_resolution,[],[f664,f328]) ).
fof(f664,plain,
( empty_carrier(sK9)
| ~ lattice(sK9)
| ~ element(sK11,the_carrier(sK9))
| relstr_element_smaller(poset_of_lattice(sK9),sK10,cast_to_el_of_LattPOSet(sK9,sK11))
| ~ latt_str(sK9) ),
inference(resolution,[],[f662,f330]) ).
fof(f330,plain,
! [X2,X0,X1] :
( ~ latt_set_smaller(X0,X2,X1)
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2)) ),
inference(literal_reordering,[],[f274]) ).
fof(f274,plain,
! [X2,X0,X1] :
( relstr_element_smaller(poset_of_lattice(X0),X1,cast_to_el_of_LattPOSet(X0,X2))
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_set_smaller(X0,X2,X1) ),
inference(cnf_transformation,[],[f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU348+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:40:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (2901)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.51 % (2905)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (2893)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52 % (2885)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (2880)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (2883)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.53 % (2895)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.53 % (2887)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.53 % (2897)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.30/0.53 % (2882)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.53 % (2880)Refutation not found, incomplete strategy% (2880)------------------------------
% 1.30/0.53 % (2880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (2880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (2880)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53
% 1.30/0.53 % (2880)Memory used [KB]: 5628
% 1.30/0.53 % (2880)Time elapsed: 0.129 s
% 1.30/0.53 % (2880)Instructions burned: 6 (million)
% 1.30/0.53 % (2880)------------------------------
% 1.30/0.53 % (2880)------------------------------
% 1.30/0.53 % (2879)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.30/0.53 % (2884)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.30/0.53 % (2907)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.30/0.53 % (2881)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.30/0.53 % (2889)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.53 % (2888)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.54 % (2887)Instruction limit reached!
% 1.30/0.54 % (2887)------------------------------
% 1.30/0.54 % (2887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54 % (2887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54 % (2887)Termination reason: Unknown
% 1.30/0.54 % (2887)Termination phase: Property scanning
% 1.30/0.54
% 1.30/0.54 % (2887)Memory used [KB]: 1023
% 1.30/0.54 % (2887)Time elapsed: 0.004 s
% 1.30/0.54 % (2887)Instructions burned: 3 (million)
% 1.30/0.54 % (2887)------------------------------
% 1.30/0.54 % (2887)------------------------------
% 1.30/0.54 % (2899)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.30/0.54 % (2893)First to succeed.
% 1.30/0.54 % (2906)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.30/0.54 % (2900)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.30/0.54 % (2902)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.30/0.54 % (2903)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.30/0.54 % (2891)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.30/0.54 % (2886)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.54 % (2904)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.30/0.54 % (2892)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.55 % (2894)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.30/0.55 % (2886)Instruction limit reached!
% 1.30/0.55 % (2886)------------------------------
% 1.30/0.55 % (2886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 TRYING [1]
% 1.51/0.55 TRYING [1]
% 1.51/0.55 TRYING [2]
% 1.51/0.55 % (2908)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.51/0.55 % (2896)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.55 % (2898)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.55 % (2890)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.55 TRYING [3]
% 1.51/0.55 % (2886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (2886)Termination reason: Unknown
% 1.51/0.55 % (2886)Termination phase: Saturation
% 1.51/0.55
% 1.51/0.55 % (2886)Memory used [KB]: 5628
% 1.51/0.55 % (2886)Time elapsed: 0.136 s
% 1.51/0.55 % (2886)Instructions burned: 8 (million)
% 1.51/0.55 % (2886)------------------------------
% 1.51/0.55 % (2886)------------------------------
% 1.51/0.55 % (2901)Also succeeded, but the first one will report.
% 1.51/0.55 TRYING [2]
% 1.51/0.55 % (2893)Refutation found. Thanks to Tanya!
% 1.51/0.55 % SZS status Theorem for theBenchmark
% 1.51/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.55 % (2893)------------------------------
% 1.51/0.55 % (2893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (2893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (2893)Termination reason: Refutation
% 1.51/0.55
% 1.51/0.55 % (2893)Memory used [KB]: 6268
% 1.51/0.55 % (2893)Time elapsed: 0.019 s
% 1.51/0.55 % (2893)Instructions burned: 18 (million)
% 1.51/0.55 % (2893)------------------------------
% 1.51/0.55 % (2893)------------------------------
% 1.51/0.55 % (2878)Success in time 0.197 s
%------------------------------------------------------------------------------