TSTP Solution File: LAT305+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT305+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : n007.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 17:33:37 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 30
% Syntax : Number of formulae : 132 ( 12 unt; 0 def)
% Number of atoms : 689 ( 21 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 915 ( 358 ~; 388 |; 121 &)
% ( 23 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 17 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 174 ( 153 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1225,plain,
$false,
inference(avatar_sat_refutation,[],[f388,f469,f507,f633,f647,f649,f650,f682,f683,f697,f741,f762,f767,f1137,f1162,f1221,f1224]) ).
fof(f1224,plain,
( spl26_7
| ~ spl26_24
| ~ spl26_12
| ~ spl26_30
| ~ spl26_27
| spl26_3 ),
inference(avatar_split_clause,[],[f1223,f385,f627,f678,f460,f592,f418]) ).
fof(f418,plain,
( spl26_7
<=> v3_struct_0(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f592,plain,
( spl26_24
<=> l3_lattices(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_24])]) ).
fof(f460,plain,
( spl26_12
<=> v10_lattices(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f678,plain,
( spl26_30
<=> m1_subset_1(sK9,u1_struct_0(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_30])]) ).
fof(f627,plain,
( spl26_27
<=> r3_lattices(sK8,sK9,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_27])]) ).
fof(f385,plain,
( spl26_3
<=> r2_hidden(sK9,k18_filter_2(sK8,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f1223,plain,
( ~ r3_lattices(sK8,sK9,sK9)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ v10_lattices(sK8)
| ~ l3_lattices(sK8)
| v3_struct_0(sK8)
| spl26_3 ),
inference(duplicate_literal_removal,[],[f1222]) ).
fof(f1222,plain,
( ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ l3_lattices(sK8)
| ~ v10_lattices(sK8)
| ~ r3_lattices(sK8,sK9,sK9)
| v3_struct_0(sK8)
| spl26_3 ),
inference(resolution,[],[f387,f710]) ).
fof(f710,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k18_filter_2(X0,X1))
| ~ v10_lattices(X0)
| ~ r3_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f709]) ).
fof(f709,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X2,k18_filter_2(X0,X1))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ r3_lattices(X0,X2,X1) ),
inference(superposition,[],[f375,f281]) ).
fof(f281,plain,
! [X0,X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v10_lattices(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_2) ).
fof(f375,plain,
! [X2,X1,X4] :
( r2_hidden(X4,a_2_0_filter_2(X1,X2))
| ~ r3_lattices(X1,X4,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(equality_resolution,[],[f344]) ).
fof(f344,plain,
! [X2,X0,X1,X4] :
( v3_struct_0(X1)
| r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ r3_lattices(X1,X4,X2)
| X0 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2] :
( v3_struct_0(X1)
| ( ( ( r3_lattices(X1,sK19(X0,X1,X2),X2)
& sK19(X0,X1,X2) = X0
& m1_subset_1(sK19(X0,X1,X2),u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) )
& ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X4] :
( ~ r3_lattices(X1,X4,X2)
| X0 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1)) ) ) )
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f245,f246]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,sK19(X0,X1,X2),X2)
& sK19(X0,X1,X2) = X0
& m1_subset_1(sK19(X0,X1,X2),u1_struct_0(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
! [X0,X1,X2] :
( v3_struct_0(X1)
| ( ( ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) )
& ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X4] :
( ~ r3_lattices(X1,X4,X2)
| X0 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1)) ) ) )
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1) ),
inference(rectify,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2] :
( v3_struct_0(X1)
| ( ( ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) )
& ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X3,X2)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) ) )
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( v3_struct_0(X1)
| ( ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
<=> r2_hidden(X0,a_2_0_filter_2(X1,X2)) )
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X2,X1,X0] :
( ( ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
<=> r2_hidden(X0,a_2_0_filter_2(X1,X2)) )
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X2,X1,X0] :
( ( ~ v3_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1) )
=> ( ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
<=> r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_2) ).
fof(f387,plain,
( ~ r2_hidden(sK9,k18_filter_2(sK8,sK9))
| spl26_3 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f1221,plain,
( spl26_39
| ~ spl26_22
| ~ spl26_17
| ~ spl26_24
| ~ spl26_15
| ~ spl26_28
| ~ spl26_30
| spl26_7
| ~ spl26_38 ),
inference(avatar_split_clause,[],[f1206,f1130,f418,f678,f670,f478,f592,f490,f523,f1134]) ).
fof(f1134,plain,
( spl26_39
<=> r3_lattices(sK8,k4_lattices(sK8,sK9,sK10),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_39])]) ).
fof(f523,plain,
( spl26_22
<=> v9_lattices(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f490,plain,
( spl26_17
<=> v6_lattices(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f478,plain,
( spl26_15
<=> v8_lattices(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f670,plain,
( spl26_28
<=> m1_subset_1(sK10,u1_struct_0(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).
fof(f1130,plain,
( spl26_38
<=> m1_subset_1(k4_lattices(sK8,sK9,sK10),u1_struct_0(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_38])]) ).
fof(f1206,plain,
( v3_struct_0(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ m1_subset_1(sK10,u1_struct_0(sK8))
| ~ v8_lattices(sK8)
| ~ l3_lattices(sK8)
| ~ v6_lattices(sK8)
| ~ v9_lattices(sK8)
| r3_lattices(sK8,k4_lattices(sK8,sK9,sK10),sK9)
| ~ spl26_38 ),
inference(resolution,[],[f717,f1131]) ).
fof(f1131,plain,
( m1_subset_1(k4_lattices(sK8,sK9,sK10),u1_struct_0(sK8))
| ~ spl26_38 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f717,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v8_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v6_lattices(X0) ),
inference(duplicate_literal_removal,[],[f716]) ).
fof(f716,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ l3_lattices(X0)
| r3_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ v6_lattices(X0)
| ~ m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ v8_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v9_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v8_lattices(X0) ),
inference(resolution,[],[f327,f290]) ).
fof(f290,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ~ v8_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_lattices(X0,k4_lattices(X0,X1,X2),X1) ) )
| ~ l3_lattices(X0)
| ~ v6_lattices(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_lattices(X0,k4_lattices(X0,X1,X2),X1) ) )
| ~ l3_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ( l3_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> r1_lattices(X0,k4_lattices(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_lattices) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X2,X0,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ v8_lattices(X2)
| r3_lattices(X2,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ v6_lattices(X2) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ~ l3_lattices(X2)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ( ( r1_lattices(X2,X0,X1)
| ~ r3_lattices(X2,X0,X1) )
& ( r3_lattices(X2,X0,X1)
| ~ r1_lattices(X2,X0,X1) ) ) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X0,X2,X1] :
( ~ l3_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( ( r1_lattices(X1,X0,X2)
| ~ r3_lattices(X1,X0,X2) )
& ( r3_lattices(X1,X0,X2)
| ~ r1_lattices(X1,X0,X2) ) ) ),
inference(nnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X2,X1] :
( ~ l3_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( r1_lattices(X1,X0,X2)
<=> r3_lattices(X1,X0,X2) ) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X2,X1,X0] :
( ( r1_lattices(X1,X0,X2)
<=> r3_lattices(X1,X0,X2) )
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X2,X1,X0] :
( ( v8_lattices(X1)
& v6_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X0,u1_struct_0(X1))
& l3_lattices(X1)
& ~ v3_struct_0(X1)
& v9_lattices(X1) )
=> ( r1_lattices(X1,X0,X2)
<=> r3_lattices(X1,X0,X2) ) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X1,X0,X2] :
( ( ~ v3_struct_0(X0)
& v9_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f1162,plain,
( ~ spl26_17
| ~ spl26_29
| ~ spl26_28
| spl26_7
| ~ spl26_30
| spl26_38 ),
inference(avatar_split_clause,[],[f1154,f1130,f678,f418,f670,f674,f490]) ).
fof(f674,plain,
( spl26_29
<=> l1_lattices(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).
fof(f1154,plain,
( ~ m1_subset_1(sK9,u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ m1_subset_1(sK10,u1_struct_0(sK8))
| ~ l1_lattices(sK8)
| ~ v6_lattices(sK8)
| spl26_38 ),
inference(resolution,[],[f1132,f668]) ).
fof(f668,plain,
! [X3,X4,X5] :
( m1_subset_1(k4_lattices(X3,X5,X4),u1_struct_0(X3))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ l1_lattices(X3)
| ~ m1_subset_1(X5,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ v6_lattices(X3) ),
inference(duplicate_literal_removal,[],[f661]) ).
fof(f661,plain,
! [X3,X4,X5] :
( ~ l1_lattices(X3)
| ~ l1_lattices(X3)
| v3_struct_0(X3)
| ~ v6_lattices(X3)
| ~ v6_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_subset_1(k4_lattices(X3,X5,X4),u1_struct_0(X3))
| ~ m1_subset_1(X5,u1_struct_0(X3))
| ~ m1_subset_1(X5,u1_struct_0(X3)) ),
inference(superposition,[],[f301,f317]) ).
fof(f317,plain,
! [X2,X0,X1] :
( k4_lattices(X2,X0,X1) = k4_lattices(X2,X1,X0)
| ~ v6_lattices(X2)
| v3_struct_0(X2)
| ~ l1_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X0,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ v6_lattices(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l1_lattices(X2)
| k4_lattices(X2,X0,X1) = k4_lattices(X2,X1,X0) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X2,X1,X0] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X2,X1,X0] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ v6_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X2,X1,X0] :
( ( v6_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& l1_lattices(X0) )
=> k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f301,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ~ v6_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X2,X1,X0] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X2,X1,X0] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattices) ).
fof(f1132,plain,
( ~ m1_subset_1(k4_lattices(sK8,sK9,sK10),u1_struct_0(sK8))
| spl26_38 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1137,plain,
( spl26_7
| ~ spl26_24
| ~ spl26_12
| ~ spl26_38
| ~ spl26_39
| ~ spl26_30
| spl26_2 ),
inference(avatar_split_clause,[],[f1126,f381,f678,f1134,f1130,f460,f592,f418]) ).
fof(f381,plain,
( spl26_2
<=> r2_hidden(k4_lattices(sK8,sK9,sK10),k18_filter_2(sK8,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f1126,plain,
( ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ r3_lattices(sK8,k4_lattices(sK8,sK9,sK10),sK9)
| ~ m1_subset_1(k4_lattices(sK8,sK9,sK10),u1_struct_0(sK8))
| ~ v10_lattices(sK8)
| ~ l3_lattices(sK8)
| v3_struct_0(sK8)
| spl26_2 ),
inference(resolution,[],[f710,f383]) ).
fof(f383,plain,
( ~ r2_hidden(k4_lattices(sK8,sK9,sK10),k18_filter_2(sK8,sK9))
| spl26_2 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f767,plain,
( ~ spl26_22
| spl26_27
| spl26_26
| ~ spl26_24
| ~ spl26_15
| spl26_7
| ~ spl26_17
| ~ spl26_30 ),
inference(avatar_split_clause,[],[f764,f678,f490,f418,f478,f592,f622,f627,f523]) ).
fof(f622,plain,
( spl26_26
<=> ! [X1] : ~ m1_subset_1(X1,u1_struct_0(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).
fof(f764,plain,
( ! [X0] :
( ~ v6_lattices(sK8)
| v3_struct_0(sK8)
| ~ v8_lattices(sK8)
| ~ l3_lattices(sK8)
| ~ m1_subset_1(X0,u1_struct_0(sK8))
| r3_lattices(sK8,sK9,sK9)
| ~ v9_lattices(sK8) )
| ~ spl26_30 ),
inference(resolution,[],[f679,f325]) ).
fof(f325,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v8_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X2)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v9_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| r3_lattices(X1,X2,X2)
| ~ v8_lattices(X1)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ v9_lattices(X1) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X2,X1,X0] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| r3_lattices(X1,X0,X0)
| ~ v8_lattices(X1)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ v9_lattices(X1) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( r3_lattices(X1,X0,X0)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X1)
& v9_lattices(X1)
& v8_lattices(X1)
& v6_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X0,u1_struct_0(X1))
& l3_lattices(X1) )
=> r3_lattices(X1,X0,X0) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X1,X0,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& v6_lattices(X0)
& v9_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0)
& v8_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f679,plain,
( m1_subset_1(sK9,u1_struct_0(sK8))
| ~ spl26_30 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f762,plain,
spl26_30,
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| spl26_30 ),
inference(resolution,[],[f680,f310]) ).
fof(f310,plain,
m1_subset_1(sK9,u1_struct_0(sK8)),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( m1_subset_1(sK9,u1_struct_0(sK8))
& ( ~ r2_hidden(sK9,k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,sK9,sK10),k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,sK10,sK9),k18_filter_2(sK8,sK9)) )
& m1_subset_1(sK10,u1_struct_0(sK8))
& v10_lattices(sK8)
& l3_lattices(sK8)
& ~ v3_struct_0(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f189,f216,f215,f214]) ).
fof(f214,plain,
( ? [X0] :
( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( ( ~ r2_hidden(X1,k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(sK8))
& ? [X2] :
( ( ~ r2_hidden(X1,k18_filter_2(sK8,X1))
| ~ r2_hidden(k4_lattices(sK8,X1,X2),k18_filter_2(sK8,X1))
| ~ r2_hidden(k4_lattices(sK8,X2,X1),k18_filter_2(sK8,X1)) )
& m1_subset_1(X2,u1_struct_0(sK8)) ) )
& v10_lattices(sK8)
& l3_lattices(sK8)
& ~ v3_struct_0(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
( ? [X1] :
( m1_subset_1(X1,u1_struct_0(sK8))
& ? [X2] :
( ( ~ r2_hidden(X1,k18_filter_2(sK8,X1))
| ~ r2_hidden(k4_lattices(sK8,X1,X2),k18_filter_2(sK8,X1))
| ~ r2_hidden(k4_lattices(sK8,X2,X1),k18_filter_2(sK8,X1)) )
& m1_subset_1(X2,u1_struct_0(sK8)) ) )
=> ( m1_subset_1(sK9,u1_struct_0(sK8))
& ? [X2] :
( ( ~ r2_hidden(sK9,k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,sK9,X2),k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,X2,sK9),k18_filter_2(sK8,sK9)) )
& m1_subset_1(X2,u1_struct_0(sK8)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
( ? [X2] :
( ( ~ r2_hidden(sK9,k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,sK9,X2),k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,X2,sK9),k18_filter_2(sK8,sK9)) )
& m1_subset_1(X2,u1_struct_0(sK8)) )
=> ( ( ~ r2_hidden(sK9,k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,sK9,sK10),k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,sK10,sK9),k18_filter_2(sK8,sK9)) )
& m1_subset_1(sK10,u1_struct_0(sK8)) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
? [X0] :
( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( ( ~ r2_hidden(X1,k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
? [X0] :
( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( ( ~ r2_hidden(X1,k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_filter_2) ).
fof(f680,plain,
( ~ m1_subset_1(sK9,u1_struct_0(sK8))
| spl26_30 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f741,plain,
spl26_28,
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f740,plain,
( $false
| spl26_28 ),
inference(resolution,[],[f672,f308]) ).
fof(f308,plain,
m1_subset_1(sK10,u1_struct_0(sK8)),
inference(cnf_transformation,[],[f217]) ).
fof(f672,plain,
( ~ m1_subset_1(sK10,u1_struct_0(sK8))
| spl26_28 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f697,plain,
~ spl26_26,
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| ~ spl26_26 ),
inference(resolution,[],[f623,f310]) ).
fof(f623,plain,
( ! [X1] : ~ m1_subset_1(X1,u1_struct_0(sK8))
| ~ spl26_26 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f683,plain,
( spl26_29
| ~ spl26_24 ),
inference(avatar_split_clause,[],[f640,f592,f674]) ).
fof(f640,plain,
( l1_lattices(sK8)
| ~ spl26_24 ),
inference(resolution,[],[f593,f334]) ).
fof(f334,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l1_lattices(X0)
& l2_lattices(X0) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f593,plain,
( l3_lattices(sK8)
| ~ spl26_24 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f682,plain,
( ~ spl26_17
| ~ spl26_30
| spl26_7
| ~ spl26_2
| ~ spl26_28
| ~ spl26_29
| spl26_1 ),
inference(avatar_split_clause,[],[f662,f377,f674,f670,f381,f418,f678,f490]) ).
fof(f377,plain,
( spl26_1
<=> r2_hidden(k4_lattices(sK8,sK10,sK9),k18_filter_2(sK8,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f662,plain,
( ~ l1_lattices(sK8)
| ~ m1_subset_1(sK10,u1_struct_0(sK8))
| ~ r2_hidden(k4_lattices(sK8,sK9,sK10),k18_filter_2(sK8,sK9))
| v3_struct_0(sK8)
| ~ m1_subset_1(sK9,u1_struct_0(sK8))
| ~ v6_lattices(sK8)
| spl26_1 ),
inference(superposition,[],[f379,f317]) ).
fof(f379,plain,
( ~ r2_hidden(k4_lattices(sK8,sK10,sK9),k18_filter_2(sK8,sK9))
| spl26_1 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f650,plain,
( ~ spl26_12
| spl26_22
| spl26_7
| ~ spl26_24 ),
inference(avatar_split_clause,[],[f646,f592,f418,f523,f460]) ).
fof(f646,plain,
( v3_struct_0(sK8)
| v9_lattices(sK8)
| ~ v10_lattices(sK8)
| ~ spl26_24 ),
inference(resolution,[],[f593,f361]) ).
fof(f361,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v9_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v9_lattices(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v9_lattices(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v3_struct_0(X0)
& v9_lattices(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f649,plain,
( spl26_7
| ~ spl26_12
| spl26_15
| ~ spl26_24 ),
inference(avatar_split_clause,[],[f642,f592,f478,f460,f418]) ).
fof(f642,plain,
( v8_lattices(sK8)
| ~ v10_lattices(sK8)
| v3_struct_0(sK8)
| ~ spl26_24 ),
inference(resolution,[],[f593,f357]) ).
fof(f357,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f647,plain,
( spl26_7
| spl26_17
| ~ spl26_12
| ~ spl26_24 ),
inference(avatar_split_clause,[],[f643,f592,f460,f490,f418]) ).
fof(f643,plain,
( ~ v10_lattices(sK8)
| v6_lattices(sK8)
| v3_struct_0(sK8)
| ~ spl26_24 ),
inference(resolution,[],[f593,f358]) ).
fof(f358,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f633,plain,
spl26_24,
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f632,plain,
( $false
| spl26_24 ),
inference(resolution,[],[f594,f306]) ).
fof(f306,plain,
l3_lattices(sK8),
inference(cnf_transformation,[],[f217]) ).
fof(f594,plain,
( ~ l3_lattices(sK8)
| spl26_24 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f507,plain,
~ spl26_7,
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f506,plain,
( $false
| ~ spl26_7 ),
inference(resolution,[],[f420,f305]) ).
fof(f305,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f217]) ).
fof(f420,plain,
( v3_struct_0(sK8)
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f469,plain,
spl26_12,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| spl26_12 ),
inference(resolution,[],[f462,f307]) ).
fof(f307,plain,
v10_lattices(sK8),
inference(cnf_transformation,[],[f217]) ).
fof(f462,plain,
( ~ v10_lattices(sK8)
| spl26_12 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f388,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f309,f385,f381,f377]) ).
fof(f309,plain,
( ~ r2_hidden(sK9,k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,sK9,sK10),k18_filter_2(sK8,sK9))
| ~ r2_hidden(k4_lattices(sK8,sK10,sK9),k18_filter_2(sK8,sK9)) ),
inference(cnf_transformation,[],[f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT305+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:49:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (9773)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)
% 0.20/0.47 % (9785)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)
% 0.20/0.47 % (9801)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)
% 0.20/0.48 % (9773)Instruction limit reached!
% 0.20/0.48 % (9773)------------------------------
% 0.20/0.48 % (9773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (9793)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)
% 0.20/0.50 % (9773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (9773)Termination reason: Unknown
% 0.20/0.50 % (9773)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (9773)Memory used [KB]: 6268
% 0.20/0.50 % (9773)Time elapsed: 0.093 s
% 0.20/0.50 % (9773)Instructions burned: 14 (million)
% 0.20/0.50 % (9773)------------------------------
% 0.20/0.50 % (9773)------------------------------
% 0.20/0.51 % (9794)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)
% 0.20/0.51 % (9786)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)
% 0.20/0.52 % (9778)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)
% 0.20/0.52 % (9786)Instruction limit reached!
% 0.20/0.52 % (9786)------------------------------
% 0.20/0.52 % (9786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9786)Termination reason: Unknown
% 0.20/0.52 % (9786)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (9786)Memory used [KB]: 1663
% 0.20/0.52 % (9786)Time elapsed: 0.004 s
% 0.20/0.52 % (9786)Instructions burned: 5 (million)
% 0.20/0.52 % (9786)------------------------------
% 0.20/0.52 % (9786)------------------------------
% 0.20/0.52 % (9801)Instruction limit reached!
% 0.20/0.52 % (9801)------------------------------
% 0.20/0.52 % (9801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9784)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)
% 0.20/0.53 % (9774)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)
% 0.20/0.53 % (9801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9801)Termination reason: Unknown
% 0.20/0.53 % (9801)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (9801)Memory used [KB]: 6524
% 0.20/0.53 % (9801)Time elapsed: 0.123 s
% 0.20/0.53 % (9801)Instructions burned: 24 (million)
% 0.20/0.53 % (9801)------------------------------
% 0.20/0.53 % (9801)------------------------------
% 0.20/0.53 % (9774)Instruction limit reached!
% 0.20/0.53 % (9774)------------------------------
% 0.20/0.53 % (9774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9774)Termination reason: Unknown
% 0.20/0.53 % (9774)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (9774)Memory used [KB]: 1535
% 0.20/0.53 % (9774)Time elapsed: 0.003 s
% 0.20/0.53 % (9774)Instructions burned: 3 (million)
% 0.20/0.53 % (9774)------------------------------
% 0.20/0.53 % (9774)------------------------------
% 0.20/0.53 % (9800)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)
% 0.20/0.53 % (9776)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)
% 0.20/0.53 % (9800)Instruction limit reached!
% 0.20/0.53 % (9800)------------------------------
% 0.20/0.53 % (9800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9800)Termination reason: Unknown
% 0.20/0.53 % (9800)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (9800)Memory used [KB]: 6268
% 0.20/0.53 % (9800)Time elapsed: 0.121 s
% 0.20/0.53 % (9800)Instructions burned: 8 (million)
% 0.20/0.53 % (9800)------------------------------
% 0.20/0.53 % (9800)------------------------------
% 0.20/0.53 % (9792)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.53 % (9775)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)
% 0.20/0.53 % (9775)Refutation not found, incomplete strategy% (9775)------------------------------
% 0.20/0.53 % (9775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9775)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (9775)Memory used [KB]: 6140
% 0.20/0.53 % (9775)Time elapsed: 0.130 s
% 0.20/0.53 % (9775)Instructions burned: 4 (million)
% 0.20/0.53 % (9775)------------------------------
% 0.20/0.53 % (9775)------------------------------
% 0.20/0.54 % (9772)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (9799)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)
% 0.20/0.54 % (9798)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)
% 0.20/0.54 % (9779)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (9777)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)
% 0.20/0.54 % (9790)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (9787)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (9784)Instruction limit reached!
% 0.20/0.54 % (9784)------------------------------
% 0.20/0.54 % (9784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (9789)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (9782)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54 % (9791)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)
% 0.20/0.55 % (9785)Instruction limit reached!
% 0.20/0.55 % (9785)------------------------------
% 0.20/0.55 % (9785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (9785)Termination reason: Unknown
% 0.20/0.55 % (9785)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (9785)Memory used [KB]: 6908
% 0.20/0.55 % (9785)Time elapsed: 0.155 s
% 0.20/0.55 % (9785)Instructions burned: 51 (million)
% 0.20/0.55 % (9785)------------------------------
% 0.20/0.55 % (9785)------------------------------
% 0.20/0.55 % (9781)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.55 % (9783)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)
% 0.20/0.55 % (9776)Instruction limit reached!
% 0.20/0.55 % (9776)------------------------------
% 0.20/0.55 % (9776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (9776)Termination reason: Unknown
% 0.20/0.55 % (9776)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (9776)Memory used [KB]: 6268
% 0.20/0.55 % (9776)Time elapsed: 0.131 s
% 0.20/0.55 % (9776)Instructions burned: 15 (million)
% 0.20/0.55 % (9776)------------------------------
% 0.20/0.55 % (9776)------------------------------
% 0.20/0.55 % (9796)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (9790)Instruction limit reached!
% 0.20/0.55 % (9790)------------------------------
% 0.20/0.55 % (9790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (9790)Termination reason: Unknown
% 0.20/0.55 % (9790)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (9790)Memory used [KB]: 1535
% 0.20/0.55 % (9790)Time elapsed: 0.003 s
% 0.20/0.55 % (9790)Instructions burned: 3 (million)
% 0.20/0.55 % (9790)------------------------------
% 0.20/0.55 % (9790)------------------------------
% 0.20/0.55 % (9780)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55 % (9797)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.56 % (9795)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)
% 0.20/0.56 % (9794)First to succeed.
% 0.20/0.56 % (9789)Instruction limit reached!
% 0.20/0.56 % (9789)------------------------------
% 0.20/0.56 % (9789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (9794)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (9794)------------------------------
% 0.20/0.56 % (9794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (9794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (9794)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (9794)Memory used [KB]: 6652
% 0.20/0.56 % (9794)Time elapsed: 0.109 s
% 0.20/0.56 % (9794)Instructions burned: 30 (million)
% 0.20/0.56 % (9794)------------------------------
% 0.20/0.56 % (9794)------------------------------
% 0.20/0.56 % (9771)Success in time 0.199 s
%------------------------------------------------------------------------------