TSTP Solution File: SEU413+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU413+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_sat --cores 0 -t %d %s
% Computer : n013.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 18:33:43 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 71 ( 17 unt; 0 def)
% Number of atoms : 277 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 295 ( 89 ~; 79 |; 93 &)
% ( 12 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 17 ( 16 usr; 11 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 54 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f575,plain,
$false,
inference(avatar_sat_refutation,[],[f292,f304,f405,f412,f478,f533,f546,f558,f567,f568,f569]) ).
fof(f569,plain,
spl10_36,
inference(avatar_split_clause,[],[f117,f560]) ).
fof(f560,plain,
( spl10_36
<=> m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_36])]) ).
fof(f117,plain,
m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( l1_orders_2(sK0)
& l1_orders_2(sK1)
& r2_hidden(sK3,u1_struct_0(sK0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& ~ r2_hidden(sK2,u1_struct_0(sK0))
& m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
& m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f66,f89,f88,f87,f86]) ).
fof(f86,plain,
( ? [X0] :
( l1_orders_2(X0)
& ? [X1] :
( l1_orders_2(X1)
& ? [X2] :
( ? [X3] :
( r2_hidden(X3,u1_struct_0(X0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) )
=> ( l1_orders_2(sK0)
& ? [X1] :
( l1_orders_2(X1)
& ? [X2] :
( ? [X3] :
( r2_hidden(X3,u1_struct_0(sK0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),X1)
& r1_orders_2(k1_latsum_1(sK0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X1] :
( l1_orders_2(X1)
& ? [X2] :
( ? [X3] :
( r2_hidden(X3,u1_struct_0(sK0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),X1)
& r1_orders_2(k1_latsum_1(sK0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) ) )
=> ( l1_orders_2(sK1)
& ? [X2] :
( ? [X3] :
( r2_hidden(X3,u1_struct_0(sK0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& r1_orders_2(k1_latsum_1(sK0,sK1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ? [X2] :
( ? [X3] :
( r2_hidden(X3,u1_struct_0(sK0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& r1_orders_2(k1_latsum_1(sK0,sK1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
=> ( ? [X3] :
( r2_hidden(X3,u1_struct_0(sK0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& ~ r2_hidden(sK2,u1_struct_0(sK0))
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
& m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X3] :
( r2_hidden(X3,u1_struct_0(sK0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& ~ r2_hidden(sK2,u1_struct_0(sK0))
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
=> ( r2_hidden(sK3,u1_struct_0(sK0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& ~ r2_hidden(sK2,u1_struct_0(sK0))
& m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
? [X0] :
( l1_orders_2(X0)
& ? [X1] :
( l1_orders_2(X1)
& ? [X2] :
( ? [X3] :
( r2_hidden(X3,u1_struct_0(X0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,u1_struct_0(X0))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& r2_hidden(X3,u1_struct_0(X0))
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1) )
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& r2_hidden(X3,u1_struct_0(X0)) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& r2_hidden(X3,u1_struct_0(X0)) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).
fof(f568,plain,
spl10_37,
inference(avatar_split_clause,[],[f118,f564]) ).
fof(f564,plain,
( spl10_37
<=> m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_37])]) ).
fof(f118,plain,
m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f90]) ).
fof(f567,plain,
( ~ spl10_36
| spl10_31
| ~ spl10_13
| ~ spl10_37 ),
inference(avatar_split_clause,[],[f281,f564,f265,f416,f560]) ).
fof(f416,plain,
( spl10_31
<=> r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).
fof(f265,plain,
( spl10_13
<=> l1_orders_2(k1_latsum_1(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f281,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(resolution,[],[f146,f121]) ).
fof(f121,plain,
r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3),
inference(cnf_transformation,[],[f90]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2) )
& ( r1_orders_2(X0,X1,X2)
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) ) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
<=> r1_orders_2(X0,X1,X2) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
<=> r1_orders_2(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f558,plain,
~ spl10_34,
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f554,plain,
( $false
| ~ spl10_34 ),
inference(resolution,[],[f528,f119]) ).
fof(f119,plain,
~ r2_hidden(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f90]) ).
fof(f528,plain,
( r2_hidden(sK2,u1_struct_0(sK0))
| ~ spl10_34 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl10_34
<=> r2_hidden(sK2,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_34])]) ).
fof(f546,plain,
spl10_35,
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f545,plain,
( $false
| spl10_35 ),
inference(resolution,[],[f532,f123]) ).
fof(f123,plain,
r2_hidden(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f90]) ).
fof(f532,plain,
( ~ r2_hidden(sK3,u1_struct_0(sK0))
| spl10_35 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl10_35
<=> r2_hidden(sK3,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_35])]) ).
fof(f533,plain,
( spl10_34
| ~ spl10_35
| ~ spl10_18
| ~ spl10_31 ),
inference(avatar_split_clause,[],[f524,f416,f302,f530,f526]) ).
fof(f302,plain,
( spl10_18
<=> ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
fof(f524,plain,
( ~ r2_hidden(sK3,u1_struct_0(sK0))
| r2_hidden(sK2,u1_struct_0(sK0))
| ~ spl10_18
| ~ spl10_31 ),
inference(resolution,[],[f303,f418]) ).
fof(f418,plain,
( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ spl10_31 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f303,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK0)) )
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f478,plain,
spl10_16,
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| spl10_16 ),
inference(resolution,[],[f296,f122]) ).
fof(f122,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f296,plain,
( ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
| spl10_16 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl10_16
<=> v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f412,plain,
spl10_17,
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| spl10_17 ),
inference(resolution,[],[f300,f125]) ).
fof(f125,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f300,plain,
( ~ l1_orders_2(sK0)
| spl10_17 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl10_17
<=> l1_orders_2(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f405,plain,
( ~ spl10_15
| ~ spl10_17
| spl10_13 ),
inference(avatar_split_clause,[],[f404,f265,f298,f275]) ).
fof(f275,plain,
( spl10_15
<=> l1_orders_2(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f404,plain,
( ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| spl10_13 ),
inference(resolution,[],[f267,f114]) ).
fof(f114,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( l1_orders_2(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ( l1_orders_2(k1_latsum_1(X1,X0))
& v1_orders_2(k1_latsum_1(X1,X0)) )
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( l1_orders_2(k1_latsum_1(X1,X0))
& v1_orders_2(k1_latsum_1(X1,X0)) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( l1_orders_2(X0)
& l1_orders_2(X1) )
=> ( l1_orders_2(k1_latsum_1(X1,X0))
& v1_orders_2(k1_latsum_1(X1,X0)) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( l1_orders_2(X1)
& l1_orders_2(X0) )
=> ( l1_orders_2(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(f267,plain,
( ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| spl10_13 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f304,plain,
( ~ spl10_16
| ~ spl10_15
| ~ spl10_17
| spl10_18 ),
inference(avatar_split_clause,[],[f282,f302,f298,f275,f294]) ).
fof(f282,plain,
! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
| ~ r2_hidden(X1,u1_struct_0(sK0)) ),
inference(resolution,[],[f133,f120]) ).
fof(f120,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f90]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X1)
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ~ l1_orders_2(X1)
| ! [X2,X3] :
( ~ r2_hidden(X3,u1_struct_0(X0))
| r2_hidden(X2,u1_struct_0(X0))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X3,X2] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1))) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X3,X2] :
( ( r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& r2_hidden(X3,u1_struct_0(X0))
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1))) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsum_1) ).
fof(f292,plain,
spl10_15,
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| spl10_15 ),
inference(resolution,[],[f277,f124]) ).
fof(f124,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f277,plain,
( ~ l1_orders_2(sK1)
| spl10_15 ),
inference(avatar_component_clause,[],[f275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU413+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.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 : Tue Aug 30 15:24:32 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (21755)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)
% 0.20/0.47 TRYING [1]
% 0.20/0.47 TRYING [2]
% 0.20/0.47 TRYING [3]
% 0.20/0.49 % (21778)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)
% 0.20/0.49 % (21763)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)
% 0.20/0.50 % (21760)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)
% 0.20/0.50 TRYING [4]
% 0.20/0.50 % (21770)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (21758)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)
% 0.20/0.51 % (21754)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)
% 0.20/0.51 % (21757)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (21778)First to succeed.
% 0.20/0.52 % (21752)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)
% 0.20/0.52 % (21750)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)
% 0.20/0.52 % (21749)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)
% 0.20/0.52 % (21759)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (21755)Instruction limit reached!
% 0.20/0.53 % (21755)------------------------------
% 0.20/0.53 % (21755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (21755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (21755)Termination reason: Unknown
% 0.20/0.53 % (21755)Termination phase: Finite model building SAT solving
% 0.20/0.53
% 0.20/0.53 % (21755)Memory used [KB]: 7036
% 0.20/0.53 % (21755)Time elapsed: 0.101 s
% 0.20/0.53 % (21755)Instructions burned: 51 (million)
% 0.20/0.53 % (21755)------------------------------
% 0.20/0.53 % (21755)------------------------------
% 0.20/0.53 % (21753)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (21757)Instruction limit reached!
% 0.20/0.53 % (21757)------------------------------
% 0.20/0.53 % (21757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (21757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (21757)Termination reason: Unknown
% 0.20/0.53 % (21757)Termination phase: Blocked clause elimination
% 0.20/0.53
% 0.20/0.53 % (21757)Memory used [KB]: 895
% 0.20/0.53 % (21757)Time elapsed: 0.004 s
% 0.20/0.53 % (21757)Instructions burned: 3 (million)
% 0.20/0.53 % (21757)------------------------------
% 0.20/0.53 % (21757)------------------------------
% 0.20/0.53 % (21751)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)
% 0.20/0.53 % (21768)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)
% 0.20/0.53 % (21767)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (21771)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)
% 0.20/0.53 % (21777)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (21763)Also succeeded, but the first one will report.
% 0.20/0.54 % (21778)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (21778)------------------------------
% 0.20/0.54 % (21778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (21778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (21778)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (21778)Memory used [KB]: 5884
% 0.20/0.54 % (21778)Time elapsed: 0.131 s
% 0.20/0.54 % (21778)Instructions burned: 14 (million)
% 0.20/0.54 % (21778)------------------------------
% 0.20/0.54 % (21778)------------------------------
% 0.20/0.54 % (21748)Success in time 0.181 s
%------------------------------------------------------------------------------