TSTP Solution File: CAT032+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT032+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 : n003.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 15:51:03 EDT 2022
% Result : Theorem 1.55s 0.64s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of formulae : 116 ( 14 unt; 0 def)
% Number of atoms : 526 ( 0 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 687 ( 277 ~; 270 |; 100 &)
% ( 19 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 17 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 112 ( 91 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f620,plain,
$false,
inference(avatar_sat_refutation,[],[f491,f499,f523,f527,f529,f541,f543,f556,f558,f560,f562,f576,f586,f609,f615,f617,f619]) ).
fof(f619,plain,
( ~ spl13_14
| ~ spl13_13
| ~ spl13_15
| ~ spl13_16
| spl13_7 ),
inference(avatar_split_clause,[],[f618,f468,f520,f516,f508,f512]) ).
fof(f512,plain,
( spl13_14
<=> v2_cat_1(k12_nattra_1(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f508,plain,
( spl13_13
<=> l1_cat_1(k12_nattra_1(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f516,plain,
( spl13_15
<=> v2_cat_1(k12_nattra_1(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f520,plain,
( spl13_16
<=> l1_cat_1(k12_nattra_1(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f468,plain,
( spl13_7
<=> l1_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f618,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,sK3))
| ~ v2_cat_1(k12_nattra_1(sK1,sK3))
| ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| spl13_7 ),
inference(resolution,[],[f470,f208]) ).
fof(f208,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X1,X0))
& l1_cat_1(k11_cat_2(X1,X0)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X1,X0] :
( ( v2_cat_1(k11_cat_2(X1,X0))
& l1_cat_1(k11_cat_2(X1,X0)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& v2_cat_1(X0)
& l1_cat_1(X0) )
=> ( v2_cat_1(k11_cat_2(X1,X0))
& l1_cat_1(k11_cat_2(X1,X0)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X1) )
=> ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f470,plain,
( ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
| spl13_7 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f617,plain,
( ~ spl13_8
| ~ spl13_18
| ~ spl13_10
| ~ spl13_17
| spl13_6 ),
inference(avatar_split_clause,[],[f616,f464,f579,f480,f583,f472]) ).
fof(f472,plain,
( spl13_8
<=> l1_cat_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f583,plain,
( spl13_18
<=> v2_cat_1(k11_cat_2(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f480,plain,
( spl13_10
<=> v2_cat_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f579,plain,
( spl13_17
<=> l1_cat_1(k11_cat_2(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f464,plain,
( spl13_6
<=> l1_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f616,plain,
( ~ l1_cat_1(k11_cat_2(sK2,sK3))
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(k11_cat_2(sK2,sK3))
| ~ l1_cat_1(sK1)
| spl13_6 ),
inference(resolution,[],[f466,f163]) ).
fof(f163,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( v2_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( ( v2_cat_1(k12_nattra_1(X1,X0))
& v1_cat_1(k12_nattra_1(X1,X0))
& l1_cat_1(k12_nattra_1(X1,X0)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( ( v2_cat_1(k12_nattra_1(X1,X0))
& v1_cat_1(k12_nattra_1(X1,X0))
& l1_cat_1(k12_nattra_1(X1,X0)) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X0) )
=> ( v2_cat_1(k12_nattra_1(X1,X0))
& v1_cat_1(k12_nattra_1(X1,X0))
& l1_cat_1(k12_nattra_1(X1,X0)) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( l1_cat_1(X0)
& l1_cat_1(X1)
& v2_cat_1(X0)
& v2_cat_1(X1) )
=> ( l1_cat_1(k12_nattra_1(X0,X1))
& v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f466,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)))
| spl13_6 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f615,plain,
( ~ spl13_9
| ~ spl13_12
| ~ spl13_11
| ~ spl13_3
| spl13_18 ),
inference(avatar_split_clause,[],[f614,f583,f452,f484,f488,f476]) ).
fof(f476,plain,
( spl13_9
<=> v2_cat_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f488,plain,
( spl13_12
<=> l1_cat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f484,plain,
( spl13_11
<=> l1_cat_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f452,plain,
( spl13_3
<=> v2_cat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f614,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK3)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK3)
| spl13_18 ),
inference(resolution,[],[f585,f209]) ).
fof(f209,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f585,plain,
( ~ v2_cat_1(k11_cat_2(sK2,sK3))
| spl13_18 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f609,plain,
( ~ spl13_12
| ~ spl13_3
| ~ spl13_9
| ~ spl13_11
| spl13_17 ),
inference(avatar_split_clause,[],[f608,f579,f484,f476,f452,f488]) ).
fof(f608,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl13_17 ),
inference(resolution,[],[f581,f208]) ).
fof(f581,plain,
( ~ l1_cat_1(k11_cat_2(sK2,sK3))
| spl13_17 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f586,plain,
( ~ spl13_17
| ~ spl13_18
| ~ spl13_10
| ~ spl13_8
| spl13_5 ),
inference(avatar_split_clause,[],[f577,f460,f472,f480,f583,f579]) ).
fof(f460,plain,
( spl13_5
<=> v2_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f577,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(k11_cat_2(sK2,sK3))
| ~ l1_cat_1(k11_cat_2(sK2,sK3))
| spl13_5 ),
inference(resolution,[],[f462,f165]) ).
fof(f165,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f462,plain,
( ~ v2_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)))
| spl13_5 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f576,plain,
( ~ spl13_9
| ~ spl13_11
| ~ spl13_8
| ~ spl13_10
| spl13_16 ),
inference(avatar_split_clause,[],[f575,f520,f480,f472,f484,f476]) ).
fof(f575,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| spl13_16 ),
inference(resolution,[],[f522,f163]) ).
fof(f522,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,sK3))
| spl13_16 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f562,plain,
spl13_11,
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f561,plain,
( $false
| spl13_11 ),
inference(resolution,[],[f486,f174]) ).
fof(f174,plain,
l1_cat_1(sK3),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( v2_cat_1(sK3)
& ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
& l1_cat_1(sK3)
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& v2_cat_1(sK1)
& l1_cat_1(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f88,f129,f128,f127]) ).
fof(f127,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( v2_cat_1(X2)
& ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
& l1_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) )
=> ( ? [X1] :
( ? [X2] :
( v2_cat_1(X2)
& ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(sK1,X1),k12_nattra_1(sK1,X2)))
& l1_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& v2_cat_1(sK1)
& l1_cat_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X1] :
( ? [X2] :
( v2_cat_1(X2)
& ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(sK1,X1),k12_nattra_1(sK1,X2)))
& l1_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> ( ? [X2] :
( v2_cat_1(X2)
& ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,X2)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,X2)))
& l1_cat_1(X2) )
& l1_cat_1(sK2)
& v2_cat_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X2] :
( v2_cat_1(X2)
& ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,X2)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,X2)))
& l1_cat_1(X2) )
=> ( v2_cat_1(sK3)
& ~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
& l1_cat_1(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( v2_cat_1(X2)
& ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
& l1_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
& l1_cat_1(X2)
& v2_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_isocat_2) ).
fof(f486,plain,
( ~ l1_cat_1(sK3)
| spl13_11 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f560,plain,
spl13_9,
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f559,plain,
( $false
| spl13_9 ),
inference(resolution,[],[f478,f176]) ).
fof(f176,plain,
v2_cat_1(sK3),
inference(cnf_transformation,[],[f130]) ).
fof(f478,plain,
( ~ v2_cat_1(sK3)
| spl13_9 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f558,plain,
( ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_10
| spl13_15 ),
inference(avatar_split_clause,[],[f557,f516,f480,f484,f476,f472]) ).
fof(f557,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK1)
| spl13_15 ),
inference(resolution,[],[f518,f165]) ).
fof(f518,plain,
( ~ v2_cat_1(k12_nattra_1(sK1,sK3))
| spl13_15 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f556,plain,
( ~ spl13_12
| ~ spl13_10
| ~ spl13_3
| ~ spl13_8
| spl13_14 ),
inference(avatar_split_clause,[],[f555,f512,f472,f452,f480,f488]) ).
fof(f555,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK2)
| spl13_14 ),
inference(resolution,[],[f514,f165]) ).
fof(f514,plain,
( ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| spl13_14 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f543,plain,
spl13_12,
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f542,plain,
( $false
| spl13_12 ),
inference(resolution,[],[f490,f173]) ).
fof(f173,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f130]) ).
fof(f490,plain,
( ~ l1_cat_1(sK2)
| spl13_12 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f541,plain,
spl13_10,
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| spl13_10 ),
inference(resolution,[],[f482,f171]) ).
fof(f171,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f482,plain,
( ~ v2_cat_1(sK1)
| spl13_10 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f529,plain,
spl13_8,
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| spl13_8 ),
inference(resolution,[],[f474,f170]) ).
fof(f170,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f474,plain,
( ~ l1_cat_1(sK1)
| spl13_8 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f527,plain,
( ~ spl13_10
| ~ spl13_12
| ~ spl13_8
| ~ spl13_3
| spl13_13 ),
inference(avatar_split_clause,[],[f526,f508,f452,f472,f488,f480]) ).
fof(f526,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK1)
| spl13_13 ),
inference(resolution,[],[f510,f163]) ).
fof(f510,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_13 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f523,plain,
( ~ spl13_13
| ~ spl13_14
| ~ spl13_15
| ~ spl13_16
| spl13_4 ),
inference(avatar_split_clause,[],[f506,f456,f520,f516,f512,f508]) ).
fof(f456,plain,
( spl13_4
<=> v2_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f506,plain,
( ~ l1_cat_1(k12_nattra_1(sK1,sK3))
| ~ v2_cat_1(k12_nattra_1(sK1,sK3))
| ~ v2_cat_1(k12_nattra_1(sK1,sK2))
| ~ l1_cat_1(k12_nattra_1(sK1,sK2))
| spl13_4 ),
inference(resolution,[],[f458,f209]) ).
fof(f458,plain,
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
| spl13_4 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f499,plain,
spl13_3,
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f498,plain,
( $false
| spl13_3 ),
inference(resolution,[],[f454,f172]) ).
fof(f172,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f130]) ).
fof(f454,plain,
( ~ v2_cat_1(sK2)
| spl13_3 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f491,plain,
( ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_8
| ~ spl13_9
| ~ spl13_10
| ~ spl13_11
| ~ spl13_12 ),
inference(avatar_split_clause,[],[f448,f488,f484,f480,f476,f472,f468,f464,f460,f456,f452]) ).
fof(f448,plain,
( ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
| ~ l1_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)))
| ~ v2_cat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3)))
| ~ v2_cat_1(sK2) ),
inference(resolution,[],[f371,f175]) ).
fof(f175,plain,
~ r1_isocat_1(k12_nattra_1(sK1,k11_cat_2(sK2,sK3)),k11_cat_2(k12_nattra_1(sK1,sK2),k12_nattra_1(sK1,sK3))),
inference(cnf_transformation,[],[f130]) ).
fof(f371,plain,
! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X0)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X0)))
| ~ v2_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X0))) ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X0)))
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X0)))
| ~ l1_cat_1(X0)
| r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X0)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X0)))
| ~ l1_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X0))) ),
inference(resolution,[],[f298,f190]) ).
fof(f190,plain,
! [X2,X0,X1] :
( m2_cat_1(k17_isocat_2(X2,X1,X0),k12_nattra_1(X2,k11_cat_2(X1,X0)),k11_cat_2(k12_nattra_1(X2,X1),k12_nattra_1(X2,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| m2_cat_1(k17_isocat_2(X2,X1,X0),k12_nattra_1(X2,k11_cat_2(X1,X0)),k11_cat_2(k12_nattra_1(X2,X1),k12_nattra_1(X2,X0)))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X1,X2,X0] :
( ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| m2_cat_1(k17_isocat_2(X0,X2,X1),k12_nattra_1(X0,k11_cat_2(X2,X1)),k11_cat_2(k12_nattra_1(X0,X2),k12_nattra_1(X0,X1)))
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X1,X0,X2] :
( m2_cat_1(k17_isocat_2(X0,X2,X1),k12_nattra_1(X0,k11_cat_2(X2,X1)),k11_cat_2(k12_nattra_1(X0,X2),k12_nattra_1(X0,X1)))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X2) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0,X2] :
( ( l1_cat_1(X2)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X0)
& v2_cat_1(X2) )
=> m2_cat_1(k17_isocat_2(X0,X2,X1),k12_nattra_1(X0,k11_cat_2(X2,X1)),k11_cat_2(k12_nattra_1(X0,X2),k12_nattra_1(X0,X1))) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X2,X1] :
( ( v2_cat_1(X2)
& v2_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X0)
& l1_cat_1(X1)
& l1_cat_1(X2) )
=> m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_isocat_2) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(k17_isocat_2(X0,X2,X1),k12_nattra_1(X0,k11_cat_2(X2,X1)),k11_cat_2(k12_nattra_1(X0,X2),k12_nattra_1(X0,X1)))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X2,X1)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X2,X1)),k11_cat_2(k12_nattra_1(X0,X2),k12_nattra_1(X0,X1)))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X2),k12_nattra_1(X0,X1)))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X0,X2),k12_nattra_1(X0,X1)))
| ~ v2_cat_1(k12_nattra_1(X0,k11_cat_2(X2,X1)))
| ~ v2_cat_1(X2) ),
inference(resolution,[],[f201,f162]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ v8_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| r1_isocat_1(X0,X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1) ) )
& ( ( v8_cat_1(sK0(X0,X1),X0,X1)
& m2_cat_1(sK0(X0,X1),X0,X1) )
| ~ r1_isocat_1(X0,X1) ) ) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f119,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ? [X3] :
( v8_cat_1(X3,X0,X1)
& m2_cat_1(X3,X0,X1) )
=> ( v8_cat_1(sK0(X0,X1),X0,X1)
& m2_cat_1(sK0(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1) ) )
& ( ? [X3] :
( v8_cat_1(X3,X0,X1)
& m2_cat_1(X3,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) ) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1) ) )
& ( ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) ) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) ) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( v8_cat_1(X2,X0,X1)
& m2_cat_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_isocat_1) ).
fof(f201,plain,
! [X2,X0,X1] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_isocat_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT032+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % 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 : n003.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
% 0.13/0.34 % DateTime : Mon Aug 29 16:28:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.55/0.56 % (4339)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)
% 1.55/0.56 % (4331)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)
% 1.55/0.57 % (4323)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)
% 1.55/0.57 % (4322)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)
% 1.55/0.57 % (4322)Refutation not found, incomplete strategy% (4322)------------------------------
% 1.55/0.57 % (4322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58 % (4331)Instruction limit reached!
% 1.55/0.58 % (4331)------------------------------
% 1.55/0.58 % (4331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58 % (4331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (4331)Termination reason: Unknown
% 1.55/0.58 % (4331)Termination phase: Saturation
% 1.55/0.58
% 1.55/0.58 % (4331)Memory used [KB]: 6140
% 1.55/0.58 % (4331)Time elapsed: 0.094 s
% 1.55/0.58 % (4331)Instructions burned: 7 (million)
% 1.55/0.58 % (4331)------------------------------
% 1.55/0.58 % (4331)------------------------------
% 1.55/0.58 % (4330)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)
% 1.55/0.58 % (4322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (4322)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.58
% 1.55/0.58 % (4322)Memory used [KB]: 5884
% 1.55/0.58 % (4322)Time elapsed: 0.135 s
% 1.55/0.58 % (4322)Instructions burned: 2 (million)
% 1.55/0.58 % (4322)------------------------------
% 1.55/0.58 % (4322)------------------------------
% 1.55/0.58 % (4338)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)
% 1.55/0.59 % (4330)Instruction limit reached!
% 1.55/0.59 % (4330)------------------------------
% 1.55/0.59 % (4330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59 % (4330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59 % (4330)Termination reason: Unknown
% 1.55/0.59 % (4330)Termination phase: Preprocessing 3
% 1.55/0.59
% 1.55/0.59 % (4330)Memory used [KB]: 1535
% 1.55/0.59 % (4330)Time elapsed: 0.006 s
% 1.55/0.59 % (4330)Instructions burned: 3 (million)
% 1.55/0.59 % (4330)------------------------------
% 1.55/0.59 % (4330)------------------------------
% 1.55/0.62 % (4321)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)
% 1.55/0.62 % (4343)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)
% 1.55/0.62 % (4318)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)
% 1.55/0.63 % (4338)First to succeed.
% 1.55/0.63 % (4344)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)
% 1.55/0.63 % (4319)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)
% 1.55/0.63 % (4345)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)
% 1.55/0.63 % (4316)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.55/0.63 % (4342)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)
% 1.55/0.63 % (4336)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)
% 1.55/0.63 % (4337)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)
% 1.55/0.63 % (4335)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)
% 1.55/0.64 % (4338)Refutation found. Thanks to Tanya!
% 1.55/0.64 % SZS status Theorem for theBenchmark
% 1.55/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.64 % (4338)------------------------------
% 1.55/0.64 % (4338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.64 % (4338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.64 % (4338)Termination reason: Refutation
% 1.55/0.64
% 1.55/0.64 % (4338)Memory used [KB]: 6268
% 1.55/0.64 % (4338)Time elapsed: 0.186 s
% 1.55/0.64 % (4338)Instructions burned: 21 (million)
% 1.55/0.64 % (4338)------------------------------
% 1.55/0.64 % (4338)------------------------------
% 1.55/0.64 % (4315)Success in time 0.28 s
%------------------------------------------------------------------------------