TSTP Solution File: SEU411+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU411+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:29:56 EDT 2022
% Result : Theorem 1.44s 0.57s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 17 unt; 0 def)
% Number of atoms : 305 ( 6 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 357 ( 124 ~; 108 |; 93 &)
% ( 10 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 103 ( 98 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f354,plain,
$false,
inference(avatar_sat_refutation,[],[f323,f329,f353]) ).
fof(f353,plain,
~ spl15_9,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f348,f133]) ).
fof(f133,plain,
~ r2_hidden(k3_yellow_0(sK13),u1_struct_0(sK12)),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
? [X0] :
( v4_orders_2(X0)
& ? [X1] :
( l1_orders_2(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)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v4_orders_2(X1)
& v1_yellow_0(X1)
& ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
& ~ v3_struct_0(X1) )
& ~ v3_struct_0(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),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)))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v3_orders_2(X1) )
& v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0)
& ~ v3_struct_0(X0)
& v2_orders_2(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
~ ! [X0] :
( ( v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0)
& ~ v3_struct_0(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v3_orders_2(X1) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(pure_predicate_removal,[],[f51]) ).
fof(f51,plain,
~ ! [X0] :
( ( v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( v1_lattice3(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v3_orders_2(X1) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( v1_lattice3(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v3_orders_2(X1) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( v1_lattice3(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v3_orders_2(X1) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsum_1) ).
fof(f348,plain,
( r2_hidden(k3_yellow_0(sK13),u1_struct_0(sK12))
| ~ spl15_9 ),
inference(resolution,[],[f318,f197]) ).
fof(f197,plain,
! [X6,X7,X5] :
( ~ r2_hidden(X5,k3_xboole_0(X6,X7))
| r2_hidden(X5,X6) ),
inference(resolution,[],[f154,f159]) ).
fof(f159,plain,
! [X0,X1] : sQ14_eqProxy(k3_xboole_0(X0,X1),k3_xboole_0(X1,X0)),
inference(equality_proxy_replacement,[],[f114,f149]) ).
fof(f149,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ14_eqProxy])]) ).
fof(f114,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( ~ sQ14_eqProxy(k3_xboole_0(X2,X1),X0)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(equality_proxy_replacement,[],[f96,f149]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( k3_xboole_0(X2,X1) != X0
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X2,X1,X0] :
( ! [X3] :
( ( r2_hidden(X3,X1)
& r2_hidden(X3,X2) )
<=> r2_hidden(X3,X0) )
<=> k3_xboole_0(X2,X1) = X0 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] :
( ! [X3] :
( ( r2_hidden(X3,X1)
& r2_hidden(X3,X0) )
<=> r2_hidden(X3,X2) )
<=> k3_xboole_0(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f318,plain,
( r2_hidden(k3_yellow_0(sK13),k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl15_9
<=> r2_hidden(k3_yellow_0(sK13),k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f329,plain,
spl15_10,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| spl15_10 ),
inference(subsumption_resolution,[],[f327,f141]) ).
fof(f141,plain,
l1_orders_2(sK13),
inference(cnf_transformation,[],[f82]) ).
fof(f327,plain,
( ~ l1_orders_2(sK13)
| spl15_10 ),
inference(resolution,[],[f322,f102]) ).
fof(f102,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ l1_orders_2(X0)
| m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( l1_orders_2(X0)
=> m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(f322,plain,
( ~ m1_subset_1(k3_yellow_0(sK13),u1_struct_0(sK13))
| spl15_10 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl15_10
<=> m1_subset_1(k3_yellow_0(sK13),u1_struct_0(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f323,plain,
( spl15_9
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f314,f320,f316]) ).
fof(f314,plain,
( ~ m1_subset_1(k3_yellow_0(sK13),u1_struct_0(sK13))
| r2_hidden(k3_yellow_0(sK13),k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))) ),
inference(subsumption_resolution,[],[f313,f141]) ).
fof(f313,plain,
( ~ m1_subset_1(k3_yellow_0(sK13),u1_struct_0(sK13))
| ~ l1_orders_2(sK13)
| r2_hidden(k3_yellow_0(sK13),k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))) ),
inference(subsumption_resolution,[],[f312,f135]) ).
fof(f135,plain,
v4_orders_2(sK13),
inference(cnf_transformation,[],[f82]) ).
fof(f312,plain,
( ~ v4_orders_2(sK13)
| ~ l1_orders_2(sK13)
| ~ m1_subset_1(k3_yellow_0(sK13),u1_struct_0(sK13))
| r2_hidden(k3_yellow_0(sK13),k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))) ),
inference(subsumption_resolution,[],[f311,f218]) ).
fof(f218,plain,
m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))),u1_struct_0(sK13)),
inference(subsumption_resolution,[],[f215,f136]) ).
fof(f136,plain,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))),
inference(cnf_transformation,[],[f82]) ).
fof(f215,plain,
( m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))),u1_struct_0(sK13))
| v1_xboole_0(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))) ),
inference(resolution,[],[f172,f193]) ).
fof(f193,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| m1_subset_1(X0,u1_struct_0(sK13)) ),
inference(resolution,[],[f100,f140]) ).
fof(f140,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)),k1_zfmisc_1(u1_struct_0(sK13))),
inference(cnf_transformation,[],[f82]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X2,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X2,X1] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f172,plain,
! [X0] :
( r2_hidden(sK4(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f116,f104]) ).
fof(f104,plain,
! [X0] : m1_subset_1(sK4(X0),X0),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f116,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f311,plain,
( ~ m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))),u1_struct_0(sK13))
| ~ v4_orders_2(sK13)
| ~ l1_orders_2(sK13)
| r2_hidden(k3_yellow_0(sK13),k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| ~ m1_subset_1(k3_yellow_0(sK13),u1_struct_0(sK13)) ),
inference(subsumption_resolution,[],[f310,f134]) ).
fof(f134,plain,
v1_yellow_0(sK13),
inference(cnf_transformation,[],[f82]) ).
fof(f310,plain,
( ~ v1_yellow_0(sK13)
| ~ m1_subset_1(k3_yellow_0(sK13),u1_struct_0(sK13))
| ~ v4_orders_2(sK13)
| ~ m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))),u1_struct_0(sK13))
| r2_hidden(k3_yellow_0(sK13),k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| ~ l1_orders_2(sK13) ),
inference(subsumption_resolution,[],[f309,f132]) ).
fof(f132,plain,
~ v3_struct_0(sK13),
inference(cnf_transformation,[],[f82]) ).
fof(f309,plain,
( v3_struct_0(sK13)
| r2_hidden(k3_yellow_0(sK13),k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| ~ v4_orders_2(sK13)
| ~ l1_orders_2(sK13)
| ~ m1_subset_1(sK4(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))),u1_struct_0(sK13))
| ~ v1_yellow_0(sK13)
| ~ m1_subset_1(k3_yellow_0(sK13),u1_struct_0(sK13)) ),
inference(resolution,[],[f293,f108]) ).
fof(f108,plain,
! [X0,X1] :
( r1_orders_2(X0,k3_yellow_0(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_orders_2(X0,k3_yellow_0(X0),X1) )
| v3_struct_0(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_orders_2(X0,k3_yellow_0(X0),X1) )
| ~ v4_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( v4_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0)
& v1_yellow_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_orders_2(X0,k3_yellow_0(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(f293,plain,
! [X0] :
( ~ r1_orders_2(sK13,X0,sK4(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))))
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| ~ m1_subset_1(X0,u1_struct_0(sK13)) ),
inference(subsumption_resolution,[],[f290,f136]) ).
fof(f290,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK13))
| ~ r1_orders_2(sK13,X0,sK4(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))))
| v1_xboole_0(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))) ),
inference(resolution,[],[f289,f172]) ).
fof(f289,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| ~ m1_subset_1(X0,u1_struct_0(sK13))
| ~ r1_orders_2(sK13,X0,X1) ),
inference(subsumption_resolution,[],[f288,f141]) ).
fof(f288,plain,
! [X0,X1] :
( ~ r1_orders_2(sK13,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK13))
| ~ r2_hidden(X1,k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| ~ l1_orders_2(sK13)
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13))) ),
inference(subsumption_resolution,[],[f283,f139]) ).
fof(f139,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)),sK13),
inference(cnf_transformation,[],[f82]) ).
fof(f283,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)),sK13)
| ~ r1_orders_2(sK13,X0,X1)
| ~ l1_orders_2(sK13)
| r2_hidden(X0,k3_xboole_0(u1_struct_0(sK12),u1_struct_0(sK13)))
| ~ m1_subset_1(X0,u1_struct_0(sK13)) ),
inference(resolution,[],[f281,f140]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r1_orders_2(X0,X3,X2)
| ~ r2_hidden(X2,X1)
| ~ v12_waybel_0(X1,X0)
| r2_hidden(X3,X1) ),
inference(subsumption_resolution,[],[f117,f100]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X2,X1)
| r2_hidden(X3,X1)
| ~ l1_orders_2(X0)
| ~ v12_waybel_0(X1,X0)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( r2_hidden(X3,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r1_orders_2(X0,X3,X2)
| ~ r2_hidden(X2,X1) ) )
<=> v12_waybel_0(X1,X0) ) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<=> v12_waybel_0(X1,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r1_orders_2(X0,X3,X2) )
=> r2_hidden(X3,X1) ) ) )
<=> v12_waybel_0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d19_waybel_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU411+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 15:31:05 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (24942)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)
% 0.21/0.52 % (24934)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)
% 0.21/0.52 % (24926)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)
% 0.21/0.52 % (24925)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)
% 0.21/0.52 % (24918)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.29/0.53 % (24934)Instruction limit reached!
% 1.29/0.53 % (24934)------------------------------
% 1.29/0.53 % (24934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53 % (24934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53 % (24934)Termination reason: Unknown
% 1.29/0.53 % (24934)Termination phase: Saturation
% 1.29/0.53
% 1.29/0.53 % (24934)Memory used [KB]: 6140
% 1.29/0.53 % (24934)Time elapsed: 0.081 s
% 1.29/0.53 % (24934)Instructions burned: 7 (million)
% 1.29/0.53 % (24934)------------------------------
% 1.29/0.53 % (24934)------------------------------
% 1.29/0.53 % (24933)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)
% 1.29/0.53 % (24935)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.53 % (24922)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)
% 1.29/0.53 % (24920)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)
% 1.29/0.54 % (24921)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)
% 1.29/0.54 % (24920)Instruction limit reached!
% 1.29/0.54 % (24920)------------------------------
% 1.29/0.54 % (24920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.54 % (24924)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)
% 1.29/0.54 % (24923)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)
% 1.29/0.54 % (24919)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)
% 1.29/0.54 % (24932)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)
% 1.29/0.54 % (24947)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)
% 1.29/0.54 % (24943)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)
% 1.29/0.55 % (24946)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)
% 1.29/0.55 % (24939)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)
% 1.44/0.55 % (24937)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)
% 1.44/0.55 % (24931)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)
% 1.44/0.55 % (24933)Instruction limit reached!
% 1.44/0.55 % (24933)------------------------------
% 1.44/0.55 % (24933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (24933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (24933)Termination reason: Unknown
% 1.44/0.55 % (24933)Termination phase: Property scanning
% 1.44/0.55
% 1.44/0.55 % (24933)Memory used [KB]: 1535
% 1.44/0.55 % (24933)Time elapsed: 0.002 s
% 1.44/0.55 % (24933)Instructions burned: 3 (million)
% 1.44/0.55 % (24933)------------------------------
% 1.44/0.55 % (24933)------------------------------
% 1.44/0.55 % (24948)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)
% 1.44/0.55 % (24938)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)
% 1.44/0.55 % (24928)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)
% 1.44/0.55 % (24920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (24920)Termination reason: Unknown
% 1.44/0.55 % (24920)Termination phase: Saturation
% 1.44/0.55
% 1.44/0.55 % (24920)Memory used [KB]: 6012
% 1.44/0.55 % (24920)Time elapsed: 0.122 s
% 1.44/0.55 % (24920)Instructions burned: 4 (million)
% 1.44/0.55 % (24920)------------------------------
% 1.44/0.55 % (24920)------------------------------
% 1.44/0.55 % (24931)Refutation not found, incomplete strategy% (24931)------------------------------
% 1.44/0.55 % (24931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (24928)Refutation not found, incomplete strategy% (24928)------------------------------
% 1.44/0.55 % (24928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (24930)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)
% 1.44/0.56 % (24939)First to succeed.
% 1.44/0.56 % (24930)Instruction limit reached!
% 1.44/0.56 % (24930)------------------------------
% 1.44/0.56 % (24930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (24940)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)
% 1.44/0.56 % (24947)Instruction limit reached!
% 1.44/0.56 % (24947)------------------------------
% 1.44/0.56 % (24947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (24937)Instruction limit reached!
% 1.44/0.56 % (24937)------------------------------
% 1.44/0.56 % (24937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (24937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (24937)Termination reason: Unknown
% 1.44/0.56 % (24937)Termination phase: Saturation
% 1.44/0.56
% 1.44/0.56 % (24937)Memory used [KB]: 1535
% 1.44/0.56 % (24937)Time elapsed: 0.005 s
% 1.44/0.56 % (24937)Instructions burned: 3 (million)
% 1.44/0.56 % (24937)------------------------------
% 1.44/0.56 % (24937)------------------------------
% 1.44/0.56 % (24945)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)
% 1.44/0.56 % (24922)Instruction limit reached!
% 1.44/0.56 % (24922)------------------------------
% 1.44/0.56 % (24922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (24922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (24922)Termination reason: Unknown
% 1.44/0.56 % (24922)Termination phase: Saturation
% 1.44/0.56
% 1.44/0.56 % (24922)Memory used [KB]: 6140
% 1.44/0.56 % (24922)Time elapsed: 0.156 s
% 1.44/0.56 % (24922)Instructions burned: 14 (million)
% 1.44/0.56 % (24922)------------------------------
% 1.44/0.56 % (24922)------------------------------
% 1.44/0.56 % (24947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (24947)Termination reason: Unknown
% 1.44/0.56 % (24947)Termination phase: Saturation
% 1.44/0.56
% 1.44/0.56 % (24947)Memory used [KB]: 6140
% 1.44/0.56 % (24947)Time elapsed: 0.149 s
% 1.44/0.56 % (24947)Instructions burned: 8 (million)
% 1.44/0.56 % (24947)------------------------------
% 1.44/0.56 % (24947)------------------------------
% 1.44/0.56 % (24931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (24931)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.56
% 1.44/0.56 % (24931)Memory used [KB]: 1663
% 1.44/0.56 % (24931)Time elapsed: 0.142 s
% 1.44/0.56 % (24931)Instructions burned: 7 (million)
% 1.44/0.56 % (24931)------------------------------
% 1.44/0.56 % (24931)------------------------------
% 1.44/0.57 % (24939)Refutation found. Thanks to Tanya!
% 1.44/0.57 % SZS status Theorem for theBenchmark
% 1.44/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.57 % (24939)------------------------------
% 1.44/0.57 % (24939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (24939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (24939)Termination reason: Refutation
% 1.44/0.57
% 1.44/0.57 % (24939)Memory used [KB]: 6140
% 1.44/0.57 % (24939)Time elapsed: 0.152 s
% 1.44/0.57 % (24939)Instructions burned: 10 (million)
% 1.44/0.57 % (24939)------------------------------
% 1.44/0.57 % (24939)------------------------------
% 1.44/0.57 % (24914)Success in time 0.205 s
%------------------------------------------------------------------------------