TSTP Solution File: LAT359+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT359+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Sun May 5 07:30:49 EDT 2024
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 82
% Syntax : Number of formulae : 354 ( 37 unt; 0 def)
% Number of atoms : 1047 ( 104 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 1148 ( 455 ~; 489 |; 109 &)
% ( 51 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 65 ( 63 usr; 42 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 319 ( 284 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2294,plain,
$false,
inference(avatar_sat_refutation,[],[f425,f441,f518,f1010,f1023,f1046,f1172,f1263,f1443,f1515,f1823,f1837,f1855,f1894,f1897,f1915,f1934,f1983,f2078,f2080,f2082,f2084,f2086,f2088,f2134,f2145,f2162,f2203,f2205,f2207,f2209,f2211,f2213,f2267,f2293]) ).
fof(f2293,plain,
( ~ spl20_9
| ~ spl20_10
| spl20_11
| ~ spl20_22 ),
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f2292,plain,
( $false
| ~ spl20_9
| ~ spl20_10
| spl20_11
| ~ spl20_22 ),
inference(subsumption_resolution,[],[f2282,f1022]) ).
fof(f1022,plain,
( ~ r2_hidden(sK7,k1_altcat_1(sK4,sK5,sK6))
| spl20_11 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1020,plain,
( spl20_11
<=> r2_hidden(sK7,k1_altcat_1(sK4,sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f2282,plain,
( r2_hidden(sK7,k1_altcat_1(sK4,sK5,sK6))
| ~ spl20_9
| ~ spl20_10
| ~ spl20_22 ),
inference(superposition,[],[f182,f2214]) ).
fof(f2214,plain,
( k1_binop_1(u1_altcat_1(sK4),sK5,sK6) = k1_altcat_1(sK4,sK5,sK6)
| ~ spl20_9
| ~ spl20_10
| ~ spl20_22 ),
inference(resolution,[],[f1013,f2107]) ).
fof(f2107,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| k1_binop_1(u1_altcat_1(sK4),X0,sK6) = k1_altcat_1(sK4,X0,sK6) )
| ~ spl20_10
| ~ spl20_22 ),
inference(subsumption_resolution,[],[f2091,f1817]) ).
fof(f1817,plain,
( l1_altcat_1(sK4)
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f1816,plain,
( spl20_22
<=> l1_altcat_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
fof(f2091,plain,
( ! [X0] :
( k1_binop_1(u1_altcat_1(sK4),X0,sK6) = k1_altcat_1(sK4,X0,sK6)
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ l1_altcat_1(sK4) )
| ~ spl20_10 ),
inference(resolution,[],[f1017,f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_binop_1(u1_altcat_1(X0),X1,X2) = k1_altcat_1(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_binop_1(u1_altcat_1(X0),X1,X2) = k1_altcat_1(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_altcat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( l1_altcat_1(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_binop_1(u1_altcat_1(X0),X1,X2) = k1_altcat_1(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_altcat_1) ).
fof(f1017,plain,
( m1_subset_1(sK6,u1_struct_0(sK4))
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1016,plain,
( spl20_10
<=> m1_subset_1(sK6,u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f1013,plain,
( m1_subset_1(sK5,u1_struct_0(sK4))
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1012,plain,
( spl20_9
<=> m1_subset_1(sK5,u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f182,plain,
r2_hidden(sK7,k1_binop_1(u1_altcat_1(sK4),sK5,sK6)),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ! [X4] :
( ! [X5] :
( ~ m1_subset_1(sK7,k1_altcat_1(sK4,X4,X5))
| ~ r2_hidden(sK7,k1_altcat_1(sK4,X4,X5))
| sK6 != X5
| sK5 != X4
| ~ m1_subset_1(X5,u1_struct_0(sK4)) )
| ~ m1_subset_1(X4,u1_struct_0(sK4)) )
& r2_hidden(sK7,k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
& l2_altcat_1(sK4)
& ~ v3_struct_0(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f78,f144,f143]) ).
fof(f143,plain,
( ? [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( ~ m1_subset_1(X3,k1_altcat_1(X0,X4,X5))
| ~ r2_hidden(X3,k1_altcat_1(X0,X4,X5))
| X2 != X5
| X1 != X4
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2)) )
& l2_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X3,X2,X1] :
( ! [X4] :
( ! [X5] :
( ~ m1_subset_1(X3,k1_altcat_1(sK4,X4,X5))
| ~ r2_hidden(X3,k1_altcat_1(sK4,X4,X5))
| X2 != X5
| X1 != X4
| ~ m1_subset_1(X5,u1_struct_0(sK4)) )
| ~ m1_subset_1(X4,u1_struct_0(sK4)) )
& r2_hidden(X3,k1_binop_1(u1_altcat_1(sK4),X1,X2)) )
& l2_altcat_1(sK4)
& ~ v3_struct_0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X3,X2,X1] :
( ! [X4] :
( ! [X5] :
( ~ m1_subset_1(X3,k1_altcat_1(sK4,X4,X5))
| ~ r2_hidden(X3,k1_altcat_1(sK4,X4,X5))
| X2 != X5
| X1 != X4
| ~ m1_subset_1(X5,u1_struct_0(sK4)) )
| ~ m1_subset_1(X4,u1_struct_0(sK4)) )
& r2_hidden(X3,k1_binop_1(u1_altcat_1(sK4),X1,X2)) )
=> ( ! [X4] :
( ! [X5] :
( ~ m1_subset_1(sK7,k1_altcat_1(sK4,X4,X5))
| ~ r2_hidden(sK7,k1_altcat_1(sK4,X4,X5))
| sK6 != X5
| sK5 != X4
| ~ m1_subset_1(X5,u1_struct_0(sK4)) )
| ~ m1_subset_1(X4,u1_struct_0(sK4)) )
& r2_hidden(sK7,k1_binop_1(u1_altcat_1(sK4),sK5,sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( ~ m1_subset_1(X3,k1_altcat_1(X0,X4,X5))
| ~ r2_hidden(X3,k1_altcat_1(X0,X4,X5))
| X2 != X5
| X1 != X4
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2)) )
& l2_altcat_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
? [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( ~ m1_subset_1(X3,k1_altcat_1(X0,X4,X5))
| ~ r2_hidden(X3,k1_altcat_1(X0,X4,X5))
| X2 != X5
| X1 != X4
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
& r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2)) )
& l2_altcat_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l2_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1,X2,X3] :
~ ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ~ ( m1_subset_1(X3,k1_altcat_1(X0,X4,X5))
& r2_hidden(X3,k1_altcat_1(X0,X4,X5))
& X2 = X5
& X1 = X4 ) ) )
& r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l2_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1,X2,X3] :
~ ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ~ ( m1_subset_1(X3,k1_altcat_1(X0,X4,X5))
& r2_hidden(X3,k1_altcat_1(X0,X4,X5))
& X2 = X5
& X1 = X4 ) ) )
& r2_hidden(X3,k1_binop_1(u1_altcat_1(X0),X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_waybel34) ).
fof(f2267,plain,
( ~ spl20_40
| ~ spl20_41
| spl20_35 ),
inference(avatar_split_clause,[],[f2171,f2131,f2264,f2260]) ).
fof(f2260,plain,
( spl20_40
<=> r2_hidden(sK8(sK15),k4_tarski(sK6,k1_xboole_0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_40])]) ).
fof(f2264,plain,
( spl20_41
<=> r2_hidden(sK6,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f2131,plain,
( spl20_35
<=> sP1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f2171,plain,
( ~ r2_hidden(sK6,sK15)
| ~ r2_hidden(sK8(sK15),k4_tarski(sK6,k1_xboole_0))
| spl20_35 ),
inference(forward_demodulation,[],[f2170,f614]) ).
fof(f614,plain,
! [X0] : k1_relat_1(sK8(X0)) = X0,
inference(resolution,[],[f613,f252]) ).
fof(f252,plain,
! [X0] : m1_pboole(sK8(X0),X0),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] : m1_pboole(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f43,f151]) ).
fof(f151,plain,
! [X0] :
( ? [X1] : m1_pboole(X1,X0)
=> m1_pboole(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
! [X0] :
? [X1] : m1_pboole(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_pboole) ).
fof(f613,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k1_relat_1(X1) = X0 ),
inference(subsumption_resolution,[],[f612,f259]) ).
fof(f259,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| v1_funct_1(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ( v1_funct_1(X1)
& v1_relat_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pboole) ).
fof(f612,plain,
! [X0,X1] :
( k1_relat_1(X1) = X0
| ~ m1_pboole(X1,X0)
| ~ v1_funct_1(X1) ),
inference(subsumption_resolution,[],[f282,f258]) ).
fof(f258,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| v1_relat_1(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X0,X1] :
( k1_relat_1(X1) = X0
| ~ m1_pboole(X1,X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( ( m1_pboole(X1,X0)
| k1_relat_1(X1) != X0 )
& ( k1_relat_1(X1) = X0
| ~ m1_pboole(X1,X0) ) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( m1_pboole(X1,X0)
<=> k1_relat_1(X1) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( m1_pboole(X1,X0)
<=> k1_relat_1(X1) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( m1_pboole(X1,X0)
<=> k1_relat_1(X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pboole) ).
fof(f2170,plain,
( ~ r2_hidden(sK8(sK15),k4_tarski(sK6,k1_xboole_0))
| ~ r2_hidden(sK6,k1_relat_1(sK8(sK15)))
| spl20_35 ),
inference(subsumption_resolution,[],[f2169,f366]) ).
fof(f366,plain,
! [X0] : v1_relat_1(sK8(X0)),
inference(resolution,[],[f258,f252]) ).
fof(f2169,plain,
( ~ r2_hidden(sK8(sK15),k4_tarski(sK6,k1_xboole_0))
| ~ v1_relat_1(sK8(sK15))
| ~ r2_hidden(sK6,k1_relat_1(sK8(sK15)))
| spl20_35 ),
inference(subsumption_resolution,[],[f2167,f367]) ).
fof(f367,plain,
! [X0] : v1_funct_1(sK8(X0)),
inference(resolution,[],[f259,f252]) ).
fof(f2167,plain,
( ~ r2_hidden(sK8(sK15),k4_tarski(sK6,k1_xboole_0))
| ~ v1_funct_1(sK8(sK15))
| ~ v1_relat_1(sK8(sK15))
| ~ r2_hidden(sK6,k1_relat_1(sK8(sK15)))
| spl20_35 ),
inference(superposition,[],[f889,f2135]) ).
fof(f2135,plain,
( k1_xboole_0 = k1_funct_1(sK8(sK15),sK6)
| spl20_35 ),
inference(resolution,[],[f2132,f1241]) ).
fof(f1241,plain,
! [X0] :
( sP1(X0)
| k1_xboole_0 = k1_funct_1(sK8(sK15),X0) ),
inference(resolution,[],[f780,f301]) ).
fof(f301,plain,
v5_membered(sK15),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( v5_membered(sK15)
& v4_membered(sK15)
& v3_membered(sK15)
& v2_membered(sK15)
& v1_membered(sK15)
& ~ v1_xboole_0(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f64,f170]) ).
fof(f170,plain,
( ? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) )
=> ( v5_membered(sK15)
& v4_membered(sK15)
& v3_membered(sK15)
& v2_membered(sK15)
& v1_membered(sK15)
& ~ v1_xboole_0(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f64,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_membered) ).
fof(f780,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| k1_xboole_0 = k1_funct_1(sK8(X0),X1)
| sP1(X1) ),
inference(resolution,[],[f777,f371]) ).
fof(f371,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v5_membered(X1)
| sP1(X0) ),
inference(resolution,[],[f219,f262]) ).
fof(f262,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f219,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| sP1(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( sP1(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f89,f137]) ).
fof(f137,plain,
! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc14_membered) ).
fof(f777,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| k1_xboole_0 = k1_funct_1(sK8(X0),X1) ),
inference(subsumption_resolution,[],[f776,f366]) ).
fof(f776,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| k1_xboole_0 = k1_funct_1(sK8(X0),X1)
| ~ v1_relat_1(sK8(X0)) ),
inference(subsumption_resolution,[],[f775,f367]) ).
fof(f775,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| k1_xboole_0 = k1_funct_1(sK8(X0),X1)
| ~ v1_funct_1(sK8(X0))
| ~ v1_relat_1(sK8(X0)) ),
inference(superposition,[],[f313,f614]) ).
fof(f313,plain,
! [X0,X1] :
( r2_hidden(X1,k1_relat_1(X0))
| k1_funct_1(X0,X1) = k1_xboole_0
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f249]) ).
fof(f249,plain,
! [X2,X0,X1] :
( k1_funct_1(X0,X1) = X2
| k1_xboole_0 != X2
| r2_hidden(X1,k1_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( k1_funct_1(X0,X1) = X2
| k1_xboole_0 != X2 )
& ( k1_xboole_0 = X2
| k1_funct_1(X0,X1) != X2 ) )
| r2_hidden(X1,k1_relat_1(X0)) )
& ( ( ( k1_funct_1(X0,X1) = X2
| ~ r2_hidden(k4_tarski(X1,X2),X0) )
& ( r2_hidden(k4_tarski(X1,X2),X0)
| k1_funct_1(X0,X1) != X2 ) )
| ~ r2_hidden(X1,k1_relat_1(X0)) ) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1,X2] :
( ( ( k1_funct_1(X0,X1) = X2
<=> k1_xboole_0 = X2 )
| r2_hidden(X1,k1_relat_1(X0)) )
& ( ( k1_funct_1(X0,X1) = X2
<=> r2_hidden(k4_tarski(X1,X2),X0) )
| ~ r2_hidden(X1,k1_relat_1(X0)) ) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1,X2] :
( ( ( k1_funct_1(X0,X1) = X2
<=> k1_xboole_0 = X2 )
| r2_hidden(X1,k1_relat_1(X0)) )
& ( ( k1_funct_1(X0,X1) = X2
<=> r2_hidden(k4_tarski(X1,X2),X0) )
| ~ r2_hidden(X1,k1_relat_1(X0)) ) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1,X2] :
( ( ~ r2_hidden(X1,k1_relat_1(X0))
=> ( k1_funct_1(X0,X1) = X2
<=> k1_xboole_0 = X2 ) )
& ( r2_hidden(X1,k1_relat_1(X0))
=> ( k1_funct_1(X0,X1) = X2
<=> r2_hidden(k4_tarski(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f2132,plain,
( ~ sP1(sK6)
| spl20_35 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f889,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k4_tarski(X0,k1_funct_1(X1,X0)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(resolution,[],[f315,f261]) ).
fof(f261,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f315,plain,
! [X0,X1] :
( r2_hidden(k4_tarski(X1,k1_funct_1(X0,X1)),X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f246]) ).
fof(f246,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(X1,X2),X0)
| k1_funct_1(X0,X1) != X2
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2213,plain,
( spl20_3
| spl20_9
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2212]) ).
fof(f2212,plain,
( $false
| spl20_3
| spl20_9
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2199,f185]) ).
fof(f185,plain,
v1_membered(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(f2199,plain,
( ~ v1_membered(k1_xboole_0)
| spl20_3
| spl20_9
| ~ spl20_23 ),
inference(superposition,[],[f464,f2055]) ).
fof(f2055,plain,
( ! [X0] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK4),sK5,X0)
| spl20_9
| ~ spl20_23 ),
inference(superposition,[],[f1846,f2039]) ).
fof(f2039,plain,
( ! [X0] : k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(sK5,X0))
| spl20_9
| ~ spl20_23 ),
inference(resolution,[],[f1876,f1025]) ).
fof(f1025,plain,
( ~ r2_hidden(sK5,u1_struct_0(sK4))
| spl20_9 ),
inference(resolution,[],[f1014,f262]) ).
fof(f1014,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK4))
| spl20_9 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1876,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK4))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X0,X1)) )
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f1875,f1841]) ).
fof(f1841,plain,
( v1_relat_1(u1_altcat_1(sK4))
| ~ spl20_23 ),
inference(resolution,[],[f1822,f258]) ).
fof(f1822,plain,
( m1_pboole(u1_altcat_1(sK4),k1_relat_1(u1_altcat_1(sK4)))
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f1820,plain,
( spl20_23
<=> m1_pboole(u1_altcat_1(sK4),k1_relat_1(u1_altcat_1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f1875,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK4))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X0,X1))
| ~ v1_relat_1(u1_altcat_1(sK4)) )
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f1873,f1840]) ).
fof(f1840,plain,
( v1_funct_1(u1_altcat_1(sK4))
| ~ spl20_23 ),
inference(resolution,[],[f1822,f259]) ).
fof(f1873,plain,
! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK4))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X0,X1))
| ~ v1_funct_1(u1_altcat_1(sK4))
| ~ v1_relat_1(u1_altcat_1(sK4)) ),
inference(resolution,[],[f1814,f313]) ).
fof(f1814,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k1_relat_1(u1_altcat_1(sK4)))
| r2_hidden(X0,u1_struct_0(sK4)) ),
inference(superposition,[],[f286,f1807]) ).
fof(f1807,plain,
k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)) = k1_relat_1(u1_altcat_1(sK4)),
inference(resolution,[],[f1487,f181]) ).
fof(f181,plain,
l2_altcat_1(sK4),
inference(cnf_transformation,[],[f145]) ).
fof(f1487,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = k1_relat_1(u1_altcat_1(X0)) ),
inference(resolution,[],[f615,f200]) ).
fof(f200,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( l2_altcat_1(X0)
=> l1_altcat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(f615,plain,
! [X0] :
( ~ l1_altcat_1(X0)
| k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) = k1_relat_1(u1_altcat_1(X0)) ),
inference(resolution,[],[f613,f202]) ).
fof(f202,plain,
! [X0] :
( m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_altcat_1(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( l1_altcat_1(X0)
=> m1_pboole(u1_altcat_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_altcat_1) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X2) )
& ( ( r2_hidden(X1,X3)
& r2_hidden(X0,X2) )
| ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X2) )
& ( ( r2_hidden(X1,X3)
& r2_hidden(X0,X2) )
| ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2,X3] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
<=> ( r2_hidden(X1,X3)
& r2_hidden(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f1846,plain,
( ! [X0,X1] : k1_binop_1(u1_altcat_1(sK4),X0,X1) = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X0,X1))
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f1845,f1840]) ).
fof(f1845,plain,
( ! [X0,X1] :
( ~ v1_funct_1(u1_altcat_1(sK4))
| k1_binop_1(u1_altcat_1(sK4),X0,X1) = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X0,X1)) )
| ~ spl20_23 ),
inference(resolution,[],[f1841,f245]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_binop_1) ).
fof(f464,plain,
( ~ v1_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| spl20_3 ),
inference(subsumption_resolution,[],[f462,f435]) ).
fof(f435,plain,
( ~ v1_xcmplx_0(sK7)
| spl20_3 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl20_3
<=> v1_xcmplx_0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f462,plain,
( ~ v1_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| v1_xcmplx_0(sK7) ),
inference(resolution,[],[f396,f182]) ).
fof(f396,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_membered(X1)
| v1_xcmplx_0(X0) ),
inference(resolution,[],[f242,f262]) ).
fof(f242,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v1_membered(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> v1_xcmplx_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_membered) ).
fof(f2211,plain,
( spl20_3
| spl20_9
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2210]) ).
fof(f2210,plain,
( $false
| spl20_3
| spl20_9
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2198,f186]) ).
fof(f186,plain,
v2_membered(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f2198,plain,
( ~ v2_membered(k1_xboole_0)
| spl20_3
| spl20_9
| ~ spl20_23 ),
inference(superposition,[],[f459,f2055]) ).
fof(f459,plain,
( ~ v2_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| spl20_3 ),
inference(subsumption_resolution,[],[f457,f435]) ).
fof(f457,plain,
( ~ v2_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| v1_xcmplx_0(sK7) ),
inference(resolution,[],[f392,f182]) ).
fof(f392,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v2_membered(X1)
| v1_xcmplx_0(X0) ),
inference(resolution,[],[f240,f262]) ).
fof(f240,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_membered) ).
fof(f2209,plain,
( spl20_3
| spl20_9
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2208]) ).
fof(f2208,plain,
( $false
| spl20_3
| spl20_9
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2197,f187]) ).
fof(f187,plain,
v3_membered(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f2197,plain,
( ~ v3_membered(k1_xboole_0)
| spl20_3
| spl20_9
| ~ spl20_23 ),
inference(superposition,[],[f450,f2055]) ).
fof(f450,plain,
( ~ v3_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| spl20_3 ),
inference(subsumption_resolution,[],[f448,f435]) ).
fof(f448,plain,
( ~ v3_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| v1_xcmplx_0(sK7) ),
inference(resolution,[],[f386,f182]) ).
fof(f386,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v3_membered(X1)
| v1_xcmplx_0(X0) ),
inference(resolution,[],[f236,f262]) ).
fof(f236,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc12_membered) ).
fof(f2207,plain,
( spl20_4
| spl20_9
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2206]) ).
fof(f2206,plain,
( $false
| spl20_4
| spl20_9
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2196,f188]) ).
fof(f188,plain,
v4_membered(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f2196,plain,
( ~ v4_membered(k1_xboole_0)
| spl20_4
| spl20_9
| ~ spl20_23 ),
inference(superposition,[],[f440,f2055]) ).
fof(f440,plain,
( ~ v4_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| spl20_4 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl20_4
<=> v4_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f2205,plain,
( spl20_2
| spl20_9
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2204]) ).
fof(f2204,plain,
( $false
| spl20_2
| spl20_9
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2195,f189]) ).
fof(f189,plain,
v5_membered(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f2195,plain,
( ~ v5_membered(k1_xboole_0)
| spl20_2
| spl20_9
| ~ spl20_23 ),
inference(superposition,[],[f424,f2055]) ).
fof(f424,plain,
( ~ v5_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| spl20_2 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl20_2
<=> v5_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f2203,plain,
( spl20_9
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2202,plain,
( $false
| spl20_9
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2193,f184]) ).
fof(f184,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f2193,plain,
( ~ v1_xboole_0(k1_xboole_0)
| spl20_9
| ~ spl20_23 ),
inference(superposition,[],[f368,f2055]) ).
fof(f368,plain,
~ v1_xboole_0(k1_binop_1(u1_altcat_1(sK4),sK5,sK6)),
inference(resolution,[],[f182,f285]) ).
fof(f285,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f2162,plain,
( ~ spl20_38
| ~ spl20_39
| ~ spl20_10
| spl20_32 ),
inference(avatar_split_clause,[],[f2108,f1977,f1016,f2159,f2155]) ).
fof(f2155,plain,
( spl20_38
<=> v1_setfam_1(u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
fof(f2159,plain,
( spl20_39
<=> v1_xboole_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).
fof(f1977,plain,
( spl20_32
<=> v1_xboole_0(u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f2108,plain,
( ~ v1_xboole_0(sK6)
| ~ v1_setfam_1(u1_struct_0(sK4))
| ~ spl20_10
| spl20_32 ),
inference(subsumption_resolution,[],[f2103,f1979]) ).
fof(f1979,plain,
( ~ v1_xboole_0(u1_struct_0(sK4))
| spl20_32 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f2103,plain,
( ~ v1_xboole_0(sK6)
| ~ v1_setfam_1(u1_struct_0(sK4))
| v1_xboole_0(u1_struct_0(sK4))
| ~ spl20_10 ),
inference(resolution,[],[f1017,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_setfam_1(X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v1_setfam_1(X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v1_setfam_1(X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( v1_setfam_1(X0)
& ~ v1_xboole_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ~ v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_setfam_1) ).
fof(f2145,plain,
( ~ spl20_36
| spl20_37
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f2093,f1016,f2142,f2138]) ).
fof(f2138,plain,
( spl20_36
<=> v4_membered(u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f2142,plain,
( spl20_37
<=> v1_xcmplx_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f2093,plain,
( v1_xcmplx_0(sK6)
| ~ v4_membered(u1_struct_0(sK4))
| ~ spl20_10 ),
inference(resolution,[],[f1017,f231]) ).
fof(f231,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc13_membered) ).
fof(f2134,plain,
( ~ spl20_34
| spl20_35
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f2092,f1016,f2131,f2127]) ).
fof(f2127,plain,
( spl20_34
<=> v5_membered(u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
fof(f2092,plain,
( sP1(sK6)
| ~ v5_membered(u1_struct_0(sK4))
| ~ spl20_10 ),
inference(resolution,[],[f1017,f219]) ).
fof(f2088,plain,
( spl20_3
| spl20_10
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
fof(f2087,plain,
( $false
| spl20_3
| spl20_10
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2074,f185]) ).
fof(f2074,plain,
( ~ v1_membered(k1_xboole_0)
| spl20_3
| spl20_10
| ~ spl20_23 ),
inference(superposition,[],[f464,f2054]) ).
fof(f2054,plain,
( ! [X0] : k1_xboole_0 = k1_binop_1(u1_altcat_1(sK4),X0,sK6)
| spl20_10
| ~ spl20_23 ),
inference(superposition,[],[f1846,f1963]) ).
fof(f1963,plain,
( ! [X0] : k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X0,sK6))
| spl20_10
| ~ spl20_23 ),
inference(resolution,[],[f1871,f1026]) ).
fof(f1026,plain,
( ~ r2_hidden(sK6,u1_struct_0(sK4))
| spl20_10 ),
inference(resolution,[],[f1018,f262]) ).
fof(f1018,plain,
( ~ m1_subset_1(sK6,u1_struct_0(sK4))
| spl20_10 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1871,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK4))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X1,X0)) )
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f1870,f1841]) ).
fof(f1870,plain,
( ! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK4))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X1,X0))
| ~ v1_relat_1(u1_altcat_1(sK4)) )
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f1868,f1840]) ).
fof(f1868,plain,
! [X0,X1] :
( r2_hidden(X0,u1_struct_0(sK4))
| k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X1,X0))
| ~ v1_funct_1(u1_altcat_1(sK4))
| ~ v1_relat_1(u1_altcat_1(sK4)) ),
inference(resolution,[],[f1813,f313]) ).
fof(f1813,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k1_relat_1(u1_altcat_1(sK4)))
| r2_hidden(X1,u1_struct_0(sK4)) ),
inference(superposition,[],[f287,f1807]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f159]) ).
fof(f2086,plain,
( spl20_3
| spl20_10
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2085,plain,
( $false
| spl20_3
| spl20_10
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2073,f186]) ).
fof(f2073,plain,
( ~ v2_membered(k1_xboole_0)
| spl20_3
| spl20_10
| ~ spl20_23 ),
inference(superposition,[],[f459,f2054]) ).
fof(f2084,plain,
( spl20_3
| spl20_10
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2083]) ).
fof(f2083,plain,
( $false
| spl20_3
| spl20_10
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2072,f187]) ).
fof(f2072,plain,
( ~ v3_membered(k1_xboole_0)
| spl20_3
| spl20_10
| ~ spl20_23 ),
inference(superposition,[],[f450,f2054]) ).
fof(f2082,plain,
( spl20_4
| spl20_10
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2081,plain,
( $false
| spl20_4
| spl20_10
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2071,f188]) ).
fof(f2071,plain,
( ~ v4_membered(k1_xboole_0)
| spl20_4
| spl20_10
| ~ spl20_23 ),
inference(superposition,[],[f440,f2054]) ).
fof(f2080,plain,
( spl20_2
| spl20_10
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2079,plain,
( $false
| spl20_2
| spl20_10
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2070,f189]) ).
fof(f2070,plain,
( ~ v5_membered(k1_xboole_0)
| spl20_2
| spl20_10
| ~ spl20_23 ),
inference(superposition,[],[f424,f2054]) ).
fof(f2078,plain,
( spl20_10
| ~ spl20_23 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2077,plain,
( $false
| spl20_10
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2068,f184]) ).
fof(f2068,plain,
( ~ v1_xboole_0(k1_xboole_0)
| spl20_10
| ~ spl20_23 ),
inference(superposition,[],[f368,f2054]) ).
fof(f1983,plain,
( ~ spl20_32
| spl20_33
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f1946,f1820,f1981,f1977]) ).
fof(f1981,plain,
( spl20_33
<=> ! [X0,X1] : k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).
fof(f1946,plain,
( ! [X0,X1] :
( k1_xboole_0 = k1_funct_1(u1_altcat_1(sK4),k4_tarski(X0,X1))
| ~ v1_xboole_0(u1_struct_0(sK4)) )
| ~ spl20_23 ),
inference(resolution,[],[f1871,f285]) ).
fof(f1934,plain,
( spl20_30
| spl20_30
| ~ spl20_31 ),
inference(avatar_split_clause,[],[f1811,f1931,f1928,f1928]) ).
fof(f1928,plain,
( spl20_30
<=> ! [X1] : ~ r2_hidden(X1,u1_struct_0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f1931,plain,
( spl20_31
<=> v1_xboole_0(k1_relat_1(u1_altcat_1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).
fof(f1811,plain,
! [X0,X1] :
( ~ v1_xboole_0(k1_relat_1(u1_altcat_1(sK4)))
| ~ r2_hidden(X0,u1_struct_0(sK4))
| ~ r2_hidden(X1,u1_struct_0(sK4)) ),
inference(superposition,[],[f667,f1807]) ).
fof(f667,plain,
! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X3,X1))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(resolution,[],[f288,f285]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1915,plain,
( spl20_28
| ~ spl20_29
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f1904,f1891,f1912,f1908]) ).
fof(f1908,plain,
( spl20_28
<=> k1_xboole_0 = k1_relat_1(u1_altcat_1(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f1912,plain,
( spl20_29
<=> v1_xboole_0(u1_altcat_1(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f1891,plain,
( spl20_27
<=> m1_pboole(u1_altcat_1(sK10),k1_relat_1(u1_altcat_1(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
fof(f1904,plain,
( ~ v1_xboole_0(u1_altcat_1(sK10))
| k1_xboole_0 = k1_relat_1(u1_altcat_1(sK10))
| ~ spl20_27 ),
inference(resolution,[],[f1901,f951]) ).
fof(f951,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_xboole_0(X0)
| k1_relat_1(X0) = k1_xboole_0 ),
inference(resolution,[],[f945,f223]) ).
fof(f223,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f945,plain,
! [X0] :
( v1_xboole_0(k1_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(resolution,[],[f914,f426]) ).
fof(f426,plain,
! [X0] :
( r2_hidden(sK9(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f260,f253]) ).
fof(f253,plain,
! [X0] : m1_subset_1(sK9(X0),X0),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] : m1_subset_1(sK9(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f44,f153]) ).
fof(f153,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f260,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f914,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1) ),
inference(subsumption_resolution,[],[f890,f222]) ).
fof(f222,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f890,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1) ),
inference(resolution,[],[f315,f285]) ).
fof(f1901,plain,
( v1_relat_1(u1_altcat_1(sK10))
| ~ spl20_27 ),
inference(resolution,[],[f1893,f258]) ).
fof(f1893,plain,
( m1_pboole(u1_altcat_1(sK10),k1_relat_1(u1_altcat_1(sK10)))
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f1897,plain,
spl20_26,
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1896,plain,
( $false
| spl20_26 ),
inference(subsumption_resolution,[],[f1895,f289]) ).
fof(f289,plain,
l2_altcat_1(sK10),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
l2_altcat_1(sK10),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f42,f160]) ).
fof(f160,plain,
( ? [X0] : l2_altcat_1(X0)
=> l2_altcat_1(sK10) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
? [X0] : l2_altcat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_altcat_1) ).
fof(f1895,plain,
( ~ l2_altcat_1(sK10)
| spl20_26 ),
inference(resolution,[],[f1889,f200]) ).
fof(f1889,plain,
( ~ l1_altcat_1(sK10)
| spl20_26 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f1887,plain,
( spl20_26
<=> l1_altcat_1(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).
fof(f1894,plain,
( ~ spl20_26
| spl20_27 ),
inference(avatar_split_clause,[],[f1877,f1891,f1887]) ).
fof(f1877,plain,
( m1_pboole(u1_altcat_1(sK10),k1_relat_1(u1_altcat_1(sK10)))
| ~ l1_altcat_1(sK10) ),
inference(superposition,[],[f202,f1808]) ).
fof(f1808,plain,
k2_zfmisc_1(u1_struct_0(sK10),u1_struct_0(sK10)) = k1_relat_1(u1_altcat_1(sK10)),
inference(resolution,[],[f1487,f289]) ).
fof(f1855,plain,
( spl20_24
| ~ spl20_25
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f1844,f1820,f1852,f1848]) ).
fof(f1848,plain,
( spl20_24
<=> k1_xboole_0 = k1_relat_1(u1_altcat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f1852,plain,
( spl20_25
<=> v1_xboole_0(u1_altcat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f1844,plain,
( ~ v1_xboole_0(u1_altcat_1(sK4))
| k1_xboole_0 = k1_relat_1(u1_altcat_1(sK4))
| ~ spl20_23 ),
inference(resolution,[],[f1841,f951]) ).
fof(f1837,plain,
spl20_22,
inference(avatar_contradiction_clause,[],[f1836]) ).
fof(f1836,plain,
( $false
| spl20_22 ),
inference(subsumption_resolution,[],[f1835,f181]) ).
fof(f1835,plain,
( ~ l2_altcat_1(sK4)
| spl20_22 ),
inference(resolution,[],[f1818,f200]) ).
fof(f1818,plain,
( ~ l1_altcat_1(sK4)
| spl20_22 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f1823,plain,
( ~ spl20_22
| spl20_23 ),
inference(avatar_split_clause,[],[f1809,f1820,f1816]) ).
fof(f1809,plain,
( m1_pboole(u1_altcat_1(sK4),k1_relat_1(u1_altcat_1(sK4)))
| ~ l1_altcat_1(sK4) ),
inference(superposition,[],[f202,f1807]) ).
fof(f1515,plain,
( spl20_20
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f1504,f1512,f1508]) ).
fof(f1508,plain,
( spl20_20
<=> k1_xboole_0 = k1_relat_1(u1_altcat_1(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f1512,plain,
( spl20_21
<=> v1_xboole_0(u1_altcat_1(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f1504,plain,
( ~ v1_xboole_0(u1_altcat_1(sK11))
| k1_xboole_0 = k1_relat_1(u1_altcat_1(sK11)) ),
inference(resolution,[],[f1496,f951]) ).
fof(f1496,plain,
v1_relat_1(u1_altcat_1(sK11)),
inference(resolution,[],[f1493,f258]) ).
fof(f1493,plain,
m1_pboole(u1_altcat_1(sK11),k1_relat_1(u1_altcat_1(sK11))),
inference(subsumption_resolution,[],[f1488,f290]) ).
fof(f290,plain,
l1_altcat_1(sK11),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
l1_altcat_1(sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f40,f162]) ).
fof(f162,plain,
( ? [X0] : l1_altcat_1(X0)
=> l1_altcat_1(sK11) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
? [X0] : l1_altcat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_altcat_1) ).
fof(f1488,plain,
( m1_pboole(u1_altcat_1(sK11),k1_relat_1(u1_altcat_1(sK11)))
| ~ l1_altcat_1(sK11) ),
inference(superposition,[],[f202,f1486]) ).
fof(f1486,plain,
k2_zfmisc_1(u1_struct_0(sK11),u1_struct_0(sK11)) = k1_relat_1(u1_altcat_1(sK11)),
inference(resolution,[],[f615,f290]) ).
fof(f1443,plain,
( spl20_18
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f1434,f1440,f1436]) ).
fof(f1436,plain,
( spl20_18
<=> r2_hidden(k4_tarski(k1_xboole_0,k1_xboole_0),sK8(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f1440,plain,
( spl20_19
<=> r2_hidden(k1_xboole_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
fof(f1434,plain,
( ~ r2_hidden(k1_xboole_0,sK13)
| r2_hidden(k4_tarski(k1_xboole_0,k1_xboole_0),sK8(sK13)) ),
inference(forward_demodulation,[],[f1433,f614]) ).
fof(f1433,plain,
( r2_hidden(k4_tarski(k1_xboole_0,k1_xboole_0),sK8(sK13))
| ~ r2_hidden(k1_xboole_0,k1_relat_1(sK8(sK13))) ),
inference(subsumption_resolution,[],[f1432,f366]) ).
fof(f1432,plain,
( r2_hidden(k4_tarski(k1_xboole_0,k1_xboole_0),sK8(sK13))
| ~ r2_hidden(k1_xboole_0,k1_relat_1(sK8(sK13)))
| ~ v1_relat_1(sK8(sK13)) ),
inference(subsumption_resolution,[],[f1431,f367]) ).
fof(f1431,plain,
( r2_hidden(k4_tarski(k1_xboole_0,k1_xboole_0),sK8(sK13))
| ~ r2_hidden(k1_xboole_0,k1_relat_1(sK8(sK13)))
| ~ v1_funct_1(sK8(sK13))
| ~ v1_relat_1(sK8(sK13)) ),
inference(superposition,[],[f315,f1428]) ).
fof(f1428,plain,
k1_xboole_0 = k1_funct_1(sK8(sK13),k1_xboole_0),
inference(resolution,[],[f1425,f184]) ).
fof(f1425,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = k1_funct_1(sK8(sK13),X0) ),
inference(resolution,[],[f791,f293]) ).
fof(f293,plain,
v1_setfam_1(sK13),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( v1_setfam_1(sK13)
& ~ v1_xboole_0(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f65,f166]) ).
fof(f166,plain,
( ? [X0] :
( v1_setfam_1(X0)
& ~ v1_xboole_0(X0) )
=> ( v1_setfam_1(sK13)
& ~ v1_xboole_0(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f65,axiom,
? [X0] :
( v1_setfam_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_setfam_1) ).
fof(f791,plain,
! [X0,X1] :
( ~ v1_setfam_1(X0)
| k1_xboole_0 = k1_funct_1(sK8(X0),X1)
| ~ v1_xboole_0(X1) ),
inference(resolution,[],[f777,f507]) ).
fof(f507,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_setfam_1(X1)
| ~ v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f506,f285]) ).
fof(f506,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_setfam_1(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(resolution,[],[f244,f262]) ).
fof(f1263,plain,
( spl20_16
| ~ spl20_17
| spl20_1 ),
inference(avatar_split_clause,[],[f1254,f418,f1260,f1256]) ).
fof(f1256,plain,
( spl20_16
<=> r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f1260,plain,
( spl20_17
<=> r2_hidden(sK7,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f418,plain,
( spl20_1
<=> sP1(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f1254,plain,
( ~ r2_hidden(sK7,sK15)
| r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK15))
| spl20_1 ),
inference(forward_demodulation,[],[f1253,f614]) ).
fof(f1253,plain,
( r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK15))
| ~ r2_hidden(sK7,k1_relat_1(sK8(sK15)))
| spl20_1 ),
inference(subsumption_resolution,[],[f1252,f366]) ).
fof(f1252,plain,
( r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK15))
| ~ r2_hidden(sK7,k1_relat_1(sK8(sK15)))
| ~ v1_relat_1(sK8(sK15))
| spl20_1 ),
inference(subsumption_resolution,[],[f1251,f367]) ).
fof(f1251,plain,
( r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK15))
| ~ r2_hidden(sK7,k1_relat_1(sK8(sK15)))
| ~ v1_funct_1(sK8(sK15))
| ~ v1_relat_1(sK8(sK15))
| spl20_1 ),
inference(superposition,[],[f315,f1250]) ).
fof(f1250,plain,
( k1_xboole_0 = k1_funct_1(sK8(sK15),sK7)
| spl20_1 ),
inference(resolution,[],[f1241,f419]) ).
fof(f419,plain,
( ~ sP1(sK7)
| spl20_1 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f1172,plain,
( spl20_14
| ~ spl20_15
| spl20_5 ),
inference(avatar_split_clause,[],[f928,f511,f1169,f1165]) ).
fof(f1165,plain,
( spl20_14
<=> r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK9(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f1169,plain,
( spl20_15
<=> r2_hidden(sK7,sK9(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f511,plain,
( spl20_5
<=> v1_xboole_0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f928,plain,
( ~ r2_hidden(sK7,sK9(sK7))
| r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK9(sK7)))
| spl20_5 ),
inference(forward_demodulation,[],[f927,f614]) ).
fof(f927,plain,
( r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK9(sK7)))
| ~ r2_hidden(sK7,k1_relat_1(sK8(sK9(sK7))))
| spl20_5 ),
inference(subsumption_resolution,[],[f926,f366]) ).
fof(f926,plain,
( r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK9(sK7)))
| ~ r2_hidden(sK7,k1_relat_1(sK8(sK9(sK7))))
| ~ v1_relat_1(sK8(sK9(sK7)))
| spl20_5 ),
inference(subsumption_resolution,[],[f908,f367]) ).
fof(f908,plain,
( r2_hidden(k4_tarski(sK7,k1_xboole_0),sK8(sK9(sK7)))
| ~ r2_hidden(sK7,k1_relat_1(sK8(sK9(sK7))))
| ~ v1_funct_1(sK8(sK9(sK7)))
| ~ v1_relat_1(sK8(sK9(sK7)))
| spl20_5 ),
inference(superposition,[],[f315,f818]) ).
fof(f818,plain,
( k1_xboole_0 = k1_funct_1(sK8(sK9(sK7)),sK7)
| spl20_5 ),
inference(resolution,[],[f792,f513]) ).
fof(f513,plain,
( ~ v1_xboole_0(sK7)
| spl20_5 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f792,plain,
! [X0] :
( v1_xboole_0(X0)
| k1_xboole_0 = k1_funct_1(sK8(sK9(X0)),X0) ),
inference(resolution,[],[f777,f429]) ).
fof(f429,plain,
! [X0] :
( ~ r2_hidden(X0,sK9(X0))
| v1_xboole_0(X0) ),
inference(resolution,[],[f426,f261]) ).
fof(f1046,plain,
( spl20_12
| ~ spl20_13 ),
inference(avatar_split_clause,[],[f986,f1043,f1039]) ).
fof(f1039,plain,
( spl20_12
<=> k1_xboole_0 = k1_relat_1(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f1043,plain,
( spl20_13
<=> v1_xboole_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f986,plain,
( ~ v1_xboole_0(sK18)
| k1_xboole_0 = k1_relat_1(sK18) ),
inference(resolution,[],[f951,f306]) ).
fof(f306,plain,
v1_relat_1(sK18),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( v1_funct_1(sK18)
& v1_relat_1(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f76,f176]) ).
fof(f176,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK18)
& v1_relat_1(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f67]) ).
fof(f67,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f1023,plain,
( ~ spl20_9
| ~ spl20_10
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f977,f1020,f1016,f1012]) ).
fof(f977,plain,
( ~ r2_hidden(sK7,k1_altcat_1(sK4,sK5,sK6))
| ~ m1_subset_1(sK6,u1_struct_0(sK4))
| ~ m1_subset_1(sK5,u1_struct_0(sK4)) ),
inference(subsumption_resolution,[],[f312,f262]) ).
fof(f312,plain,
( ~ m1_subset_1(sK7,k1_altcat_1(sK4,sK5,sK6))
| ~ r2_hidden(sK7,k1_altcat_1(sK4,sK5,sK6))
| ~ m1_subset_1(sK6,u1_struct_0(sK4))
| ~ m1_subset_1(sK5,u1_struct_0(sK4)) ),
inference(equality_resolution,[],[f311]) ).
fof(f311,plain,
! [X4] :
( ~ m1_subset_1(sK7,k1_altcat_1(sK4,X4,sK6))
| ~ r2_hidden(sK7,k1_altcat_1(sK4,X4,sK6))
| sK5 != X4
| ~ m1_subset_1(sK6,u1_struct_0(sK4))
| ~ m1_subset_1(X4,u1_struct_0(sK4)) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X4,X5] :
( ~ m1_subset_1(sK7,k1_altcat_1(sK4,X4,X5))
| ~ r2_hidden(sK7,k1_altcat_1(sK4,X4,X5))
| sK6 != X5
| sK5 != X4
| ~ m1_subset_1(X5,u1_struct_0(sK4))
| ~ m1_subset_1(X4,u1_struct_0(sK4)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f1010,plain,
( spl20_7
| ~ spl20_8 ),
inference(avatar_split_clause,[],[f985,f1007,f1003]) ).
fof(f1003,plain,
( spl20_7
<=> k1_xboole_0 = k1_relat_1(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f1007,plain,
( spl20_8
<=> v1_xboole_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f985,plain,
( ~ v1_xboole_0(sK17)
| k1_xboole_0 = k1_relat_1(sK17) ),
inference(resolution,[],[f951,f304]) ).
fof(f304,plain,
v1_relat_1(sK17),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( v1_funct_1(sK17)
& v1_relat_1(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f63,f174]) ).
fof(f174,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK17)
& v1_relat_1(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f63,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f518,plain,
( ~ spl20_5
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f508,f515,f511]) ).
fof(f515,plain,
( spl20_6
<=> v1_setfam_1(k1_binop_1(u1_altcat_1(sK4),sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f508,plain,
( ~ v1_setfam_1(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| ~ v1_xboole_0(sK7) ),
inference(resolution,[],[f507,f182]) ).
fof(f441,plain,
( spl20_3
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f431,f438,f434]) ).
fof(f431,plain,
( ~ v4_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| v1_xcmplx_0(sK7) ),
inference(resolution,[],[f378,f182]) ).
fof(f378,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v4_membered(X1)
| v1_xcmplx_0(X0) ),
inference(resolution,[],[f231,f262]) ).
fof(f425,plain,
( spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f416,f422,f418]) ).
fof(f416,plain,
( ~ v5_membered(k1_binop_1(u1_altcat_1(sK4),sK5,sK6))
| sP1(sK7) ),
inference(resolution,[],[f371,f182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT359+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:10:42 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (25068)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (25071)WARNING: value z3 for option sas not known
% 0.15/0.38 % (25069)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (25070)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (25072)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (25071)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (25073)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (25074)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (25075)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [4]
% 0.22/0.43 TRYING [3]
% 0.22/0.46 % (25071)First to succeed.
% 0.22/0.46 TRYING [5]
% 0.22/0.47 % (25071)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25068"
% 0.22/0.47 % (25071)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (25071)------------------------------
% 0.22/0.47 % (25071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.47 % (25071)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (25071)Memory used [KB]: 1863
% 0.22/0.47 % (25071)Time elapsed: 0.084 s
% 0.22/0.47 % (25071)Instructions burned: 141 (million)
% 0.22/0.47 % (25068)Success in time 0.102 s
%------------------------------------------------------------------------------