TSTP Solution File: LAT292+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT292+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 : n018.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 07:27:18 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 80
% Syntax : Number of formulae : 336 ( 53 unt; 0 def)
% Number of atoms : 1349 ( 48 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 1471 ( 458 ~; 460 |; 482 &)
% ( 40 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 75 ( 73 usr; 36 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-1 aty)
% Number of variables : 197 ( 160 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2581,plain,
$false,
inference(avatar_sat_refutation,[],[f706,f715,f1167,f1401,f1414,f2018,f2032,f2049,f2052,f2056,f2059,f2062,f2065,f2068,f2076,f2123,f2127,f2143,f2147,f2444,f2461,f2468,f2475,f2482,f2529,f2550,f2563,f2580]) ).
fof(f2580,plain,
( spl38_23
| ~ spl38_24
| ~ spl38_25 ),
inference(avatar_contradiction_clause,[],[f2579]) ).
fof(f2579,plain,
( $false
| spl38_23
| ~ spl38_24
| ~ spl38_25 ),
inference(subsumption_resolution,[],[f2578,f334]) ).
fof(f334,plain,
~ v3_struct_0(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ! [X1] :
( ~ r1_filter_1(sK7,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(sK7)
& ~ v3_realset2(sK7)
& v17_lattices(sK7)
& v10_lattices(sK7)
& ~ v3_struct_0(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f138,f261]) ).
fof(f261,plain,
( ? [X0] :
( ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X1] :
( ~ r1_filter_1(sK7,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(sK7)
& ~ v3_realset2(sK7)
& v17_lattices(sK7)
& v10_lattices(sK7)
& ~ v3_struct_0(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
? [X0] :
( ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
? [X0] :
( ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( r1_filter_1(X0,k6_lopclset(X1))
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( r1_filter_1(X0,k6_lopclset(X1))
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).
fof(f2578,plain,
( v3_struct_0(sK7)
| spl38_23
| ~ spl38_24
| ~ spl38_25 ),
inference(subsumption_resolution,[],[f2577,f335]) ).
fof(f335,plain,
v10_lattices(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f2577,plain,
( ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_23
| ~ spl38_24
| ~ spl38_25 ),
inference(subsumption_resolution,[],[f2576,f336]) ).
fof(f336,plain,
v17_lattices(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f2576,plain,
( ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_23
| ~ spl38_24
| ~ spl38_25 ),
inference(subsumption_resolution,[],[f2575,f337]) ).
fof(f337,plain,
~ v3_realset2(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f2575,plain,
( v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_23
| ~ spl38_24
| ~ spl38_25 ),
inference(subsumption_resolution,[],[f2574,f338]) ).
fof(f338,plain,
l3_lattices(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f2574,plain,
( ~ l3_lattices(sK7)
| v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_23
| ~ spl38_24
| ~ spl38_25 ),
inference(resolution,[],[f2566,f453]) ).
fof(f453,plain,
! [X0] :
( r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0] :
( r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_filter_1(X0,k12_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_lopclset) ).
fof(f2566,plain,
( ~ r1_filter_1(sK7,k12_lopclset(sK7))
| spl38_23
| ~ spl38_24
| ~ spl38_25 ),
inference(subsumption_resolution,[],[f2565,f2447]) ).
fof(f2447,plain,
( ~ v3_struct_0(k11_lopclset(sK7))
| spl38_23 ),
inference(avatar_component_clause,[],[f2446]) ).
fof(f2446,plain,
( spl38_23
<=> v3_struct_0(k11_lopclset(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_23])]) ).
fof(f2565,plain,
( ~ r1_filter_1(sK7,k12_lopclset(sK7))
| v3_struct_0(k11_lopclset(sK7))
| ~ spl38_24
| ~ spl38_25 ),
inference(subsumption_resolution,[],[f2564,f2451]) ).
fof(f2451,plain,
( v2_pre_topc(k11_lopclset(sK7))
| ~ spl38_24 ),
inference(avatar_component_clause,[],[f2450]) ).
fof(f2450,plain,
( spl38_24
<=> v2_pre_topc(k11_lopclset(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_24])]) ).
fof(f2564,plain,
( ~ r1_filter_1(sK7,k12_lopclset(sK7))
| ~ v2_pre_topc(k11_lopclset(sK7))
| v3_struct_0(k11_lopclset(sK7))
| ~ spl38_25 ),
inference(subsumption_resolution,[],[f2431,f2455]) ).
fof(f2455,plain,
( l1_pre_topc(k11_lopclset(sK7))
| ~ spl38_25 ),
inference(avatar_component_clause,[],[f2454]) ).
fof(f2454,plain,
( spl38_25
<=> l1_pre_topc(k11_lopclset(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_25])]) ).
fof(f2431,plain,
( ~ r1_filter_1(sK7,k12_lopclset(sK7))
| ~ l1_pre_topc(k11_lopclset(sK7))
| ~ v2_pre_topc(k11_lopclset(sK7))
| v3_struct_0(k11_lopclset(sK7)) ),
inference(superposition,[],[f339,f2413]) ).
fof(f2413,plain,
k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7)),
inference(subsumption_resolution,[],[f2412,f334]) ).
fof(f2412,plain,
( k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7))
| v3_struct_0(sK7) ),
inference(subsumption_resolution,[],[f2411,f335]) ).
fof(f2411,plain,
( k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7))
| ~ v10_lattices(sK7)
| v3_struct_0(sK7) ),
inference(subsumption_resolution,[],[f2410,f336]) ).
fof(f2410,plain,
( k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7))
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7) ),
inference(subsumption_resolution,[],[f2396,f337]) ).
fof(f2396,plain,
( k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7))
| v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7) ),
inference(resolution,[],[f454,f338]) ).
fof(f454,plain,
! [X0] :
( ~ l3_lattices(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f202]) ).
fof(f202,plain,
! [X0] :
( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lopclset) ).
fof(f339,plain,
! [X1] :
( ~ r1_filter_1(sK7,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f2563,plain,
( ~ spl38_33
| spl38_34
| spl38_35 ),
inference(avatar_split_clause,[],[f2427,f2560,f2556,f2552]) ).
fof(f2552,plain,
( spl38_33
<=> v17_lattices(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_33])]) ).
fof(f2556,plain,
( spl38_34
<=> v3_realset2(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_34])]) ).
fof(f2560,plain,
( spl38_35
<=> k12_lopclset(sK35) = k6_lopclset(k11_lopclset(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_35])]) ).
fof(f2427,plain,
( k12_lopclset(sK35) = k6_lopclset(k11_lopclset(sK35))
| v3_realset2(sK35)
| ~ v17_lattices(sK35) ),
inference(subsumption_resolution,[],[f2426,f600]) ).
fof(f600,plain,
~ v3_struct_0(sK35),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
( v15_lattices(sK35)
& v14_lattices(sK35)
& v13_lattices(sK35)
& v10_lattices(sK35)
& v9_lattices(sK35)
& v8_lattices(sK35)
& v7_lattices(sK35)
& v6_lattices(sK35)
& v5_lattices(sK35)
& v4_lattices(sK35)
& v3_lattices(sK35)
& ~ v3_struct_0(sK35)
& l3_lattices(sK35) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f81,f328]) ).
fof(f328,plain,
( ? [X0] :
( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v15_lattices(sK35)
& v14_lattices(sK35)
& v13_lattices(sK35)
& v10_lattices(sK35)
& v9_lattices(sK35)
& v8_lattices(sK35)
& v7_lattices(sK35)
& v6_lattices(sK35)
& v5_lattices(sK35)
& v4_lattices(sK35)
& v3_lattices(sK35)
& ~ v3_struct_0(sK35)
& l3_lattices(sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f81,axiom,
? [X0] :
( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc11_lattices) ).
fof(f2426,plain,
( k12_lopclset(sK35) = k6_lopclset(k11_lopclset(sK35))
| v3_realset2(sK35)
| ~ v17_lattices(sK35)
| v3_struct_0(sK35) ),
inference(subsumption_resolution,[],[f2403,f608]) ).
fof(f608,plain,
v10_lattices(sK35),
inference(cnf_transformation,[],[f329]) ).
fof(f2403,plain,
( k12_lopclset(sK35) = k6_lopclset(k11_lopclset(sK35))
| v3_realset2(sK35)
| ~ v17_lattices(sK35)
| ~ v10_lattices(sK35)
| v3_struct_0(sK35) ),
inference(resolution,[],[f454,f599]) ).
fof(f599,plain,
l3_lattices(sK35),
inference(cnf_transformation,[],[f329]) ).
fof(f2550,plain,
( ~ spl38_30
| spl38_31
| spl38_32 ),
inference(avatar_split_clause,[],[f2422,f2547,f2543,f2539]) ).
fof(f2539,plain,
( spl38_30
<=> v17_lattices(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_30])]) ).
fof(f2543,plain,
( spl38_31
<=> v3_realset2(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_31])]) ).
fof(f2547,plain,
( spl38_32
<=> k12_lopclset(sK33) = k6_lopclset(k11_lopclset(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_32])]) ).
fof(f2422,plain,
( k12_lopclset(sK33) = k6_lopclset(k11_lopclset(sK33))
| v3_realset2(sK33)
| ~ v17_lattices(sK33) ),
inference(subsumption_resolution,[],[f2421,f571]) ).
fof(f571,plain,
~ v3_struct_0(sK33),
inference(cnf_transformation,[],[f325]) ).
fof(f325,plain,
( v14_lattices(sK33)
& v13_lattices(sK33)
& v11_lattices(sK33)
& v10_lattices(sK33)
& v9_lattices(sK33)
& v8_lattices(sK33)
& v7_lattices(sK33)
& v6_lattices(sK33)
& v5_lattices(sK33)
& v4_lattices(sK33)
& v3_lattices(sK33)
& ~ v3_struct_0(sK33)
& l3_lattices(sK33) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f116,f324]) ).
fof(f324,plain,
( ? [X0] :
( v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v14_lattices(sK33)
& v13_lattices(sK33)
& v11_lattices(sK33)
& v10_lattices(sK33)
& v9_lattices(sK33)
& v8_lattices(sK33)
& v7_lattices(sK33)
& v6_lattices(sK33)
& v5_lattices(sK33)
& v4_lattices(sK33)
& v3_lattices(sK33)
& ~ v3_struct_0(sK33)
& l3_lattices(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0] :
( v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(pure_predicate_removal,[],[f80]) ).
fof(f80,axiom,
? [X0] :
( v14_lattices(X0)
& v13_lattices(X0)
& v12_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc10_lattices) ).
fof(f2421,plain,
( k12_lopclset(sK33) = k6_lopclset(k11_lopclset(sK33))
| v3_realset2(sK33)
| ~ v17_lattices(sK33)
| v3_struct_0(sK33) ),
inference(subsumption_resolution,[],[f2401,f579]) ).
fof(f579,plain,
v10_lattices(sK33),
inference(cnf_transformation,[],[f325]) ).
fof(f2401,plain,
( k12_lopclset(sK33) = k6_lopclset(k11_lopclset(sK33))
| v3_realset2(sK33)
| ~ v17_lattices(sK33)
| ~ v10_lattices(sK33)
| v3_struct_0(sK33) ),
inference(resolution,[],[f454,f570]) ).
fof(f570,plain,
l3_lattices(sK33),
inference(cnf_transformation,[],[f325]) ).
fof(f2529,plain,
( ~ spl38_27
| spl38_28
| spl38_29 ),
inference(avatar_split_clause,[],[f2420,f2526,f2522,f2518]) ).
fof(f2518,plain,
( spl38_27
<=> v17_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_27])]) ).
fof(f2522,plain,
( spl38_28
<=> v3_realset2(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_28])]) ).
fof(f2526,plain,
( spl38_29
<=> k12_lopclset(sK32) = k6_lopclset(k11_lopclset(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_29])]) ).
fof(f2420,plain,
( k12_lopclset(sK32) = k6_lopclset(k11_lopclset(sK32))
| v3_realset2(sK32)
| ~ v17_lattices(sK32) ),
inference(subsumption_resolution,[],[f2419,f561]) ).
fof(f561,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f323]) ).
fof(f323,plain,
( v10_lattices(sK32)
& v9_lattices(sK32)
& v8_lattices(sK32)
& v7_lattices(sK32)
& v6_lattices(sK32)
& v5_lattices(sK32)
& v4_lattices(sK32)
& v3_lattices(sK32)
& ~ v3_struct_0(sK32)
& l3_lattices(sK32) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f99,f322]) ).
fof(f322,plain,
( ? [X0] :
( v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v10_lattices(sK32)
& v9_lattices(sK32)
& v8_lattices(sK32)
& v7_lattices(sK32)
& v6_lattices(sK32)
& v5_lattices(sK32)
& v4_lattices(sK32)
& v3_lattices(sK32)
& ~ v3_struct_0(sK32)
& l3_lattices(sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f99,axiom,
? [X0] :
( v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_lattices) ).
fof(f2419,plain,
( k12_lopclset(sK32) = k6_lopclset(k11_lopclset(sK32))
| v3_realset2(sK32)
| ~ v17_lattices(sK32)
| v3_struct_0(sK32) ),
inference(subsumption_resolution,[],[f2400,f569]) ).
fof(f569,plain,
v10_lattices(sK32),
inference(cnf_transformation,[],[f323]) ).
fof(f2400,plain,
( k12_lopclset(sK32) = k6_lopclset(k11_lopclset(sK32))
| v3_realset2(sK32)
| ~ v17_lattices(sK32)
| ~ v10_lattices(sK32)
| v3_struct_0(sK32) ),
inference(resolution,[],[f454,f560]) ).
fof(f560,plain,
l3_lattices(sK32),
inference(cnf_transformation,[],[f323]) ).
fof(f2482,plain,
~ spl38_23,
inference(avatar_contradiction_clause,[],[f2481]) ).
fof(f2481,plain,
( $false
| ~ spl38_23 ),
inference(subsumption_resolution,[],[f2480,f334]) ).
fof(f2480,plain,
( v3_struct_0(sK7)
| ~ spl38_23 ),
inference(subsumption_resolution,[],[f2479,f335]) ).
fof(f2479,plain,
( ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl38_23 ),
inference(subsumption_resolution,[],[f2478,f336]) ).
fof(f2478,plain,
( ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl38_23 ),
inference(subsumption_resolution,[],[f2477,f337]) ).
fof(f2477,plain,
( v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl38_23 ),
inference(subsumption_resolution,[],[f2476,f338]) ).
fof(f2476,plain,
( ~ l3_lattices(sK7)
| v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| ~ spl38_23 ),
inference(resolution,[],[f2448,f458]) ).
fof(f458,plain,
! [X0] :
( ~ v3_struct_0(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lopclset) ).
fof(f2448,plain,
( v3_struct_0(k11_lopclset(sK7))
| ~ spl38_23 ),
inference(avatar_component_clause,[],[f2446]) ).
fof(f2475,plain,
spl38_25,
inference(avatar_contradiction_clause,[],[f2474]) ).
fof(f2474,plain,
( $false
| spl38_25 ),
inference(subsumption_resolution,[],[f2473,f334]) ).
fof(f2473,plain,
( v3_struct_0(sK7)
| spl38_25 ),
inference(subsumption_resolution,[],[f2472,f335]) ).
fof(f2472,plain,
( ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_25 ),
inference(subsumption_resolution,[],[f2471,f336]) ).
fof(f2471,plain,
( ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_25 ),
inference(subsumption_resolution,[],[f2470,f337]) ).
fof(f2470,plain,
( v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_25 ),
inference(subsumption_resolution,[],[f2469,f338]) ).
fof(f2469,plain,
( ~ l3_lattices(sK7)
| v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_25 ),
inference(resolution,[],[f2456,f463]) ).
fof(f463,plain,
! [X0] :
( l1_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_lopclset) ).
fof(f2456,plain,
( ~ l1_pre_topc(k11_lopclset(sK7))
| spl38_25 ),
inference(avatar_component_clause,[],[f2454]) ).
fof(f2468,plain,
spl38_24,
inference(avatar_contradiction_clause,[],[f2467]) ).
fof(f2467,plain,
( $false
| spl38_24 ),
inference(subsumption_resolution,[],[f2466,f334]) ).
fof(f2466,plain,
( v3_struct_0(sK7)
| spl38_24 ),
inference(subsumption_resolution,[],[f2465,f335]) ).
fof(f2465,plain,
( ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_24 ),
inference(subsumption_resolution,[],[f2464,f336]) ).
fof(f2464,plain,
( ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_24 ),
inference(subsumption_resolution,[],[f2463,f337]) ).
fof(f2463,plain,
( v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_24 ),
inference(subsumption_resolution,[],[f2462,f338]) ).
fof(f2462,plain,
( ~ l3_lattices(sK7)
| v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7)
| spl38_24 ),
inference(resolution,[],[f2452,f460]) ).
fof(f460,plain,
! [X0] :
( v2_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f2452,plain,
( ~ v2_pre_topc(k11_lopclset(sK7))
| spl38_24 ),
inference(avatar_component_clause,[],[f2450]) ).
fof(f2461,plain,
( spl38_23
| ~ spl38_24
| ~ spl38_25
| spl38_26 ),
inference(avatar_split_clause,[],[f2428,f2458,f2454,f2450,f2446]) ).
fof(f2458,plain,
( spl38_26
<=> l3_lattices(k12_lopclset(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_26])]) ).
fof(f2428,plain,
( l3_lattices(k12_lopclset(sK7))
| ~ l1_pre_topc(k11_lopclset(sK7))
| ~ v2_pre_topc(k11_lopclset(sK7))
| v3_struct_0(k11_lopclset(sK7)) ),
inference(superposition,[],[f438,f2413]) ).
fof(f438,plain,
! [X0] :
( l3_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( l3_lattices(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& ~ v3_struct_0(k6_lopclset(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ( l3_lattices(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& ~ v3_struct_0(k6_lopclset(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& ~ v3_struct_0(k6_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lopclset) ).
fof(f2444,plain,
( spl38_21
| spl38_22 ),
inference(avatar_split_clause,[],[f2425,f2441,f2437]) ).
fof(f2437,plain,
( spl38_21
<=> v3_realset2(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_21])]) ).
fof(f2441,plain,
( spl38_22
<=> k12_lopclset(sK34) = k6_lopclset(k11_lopclset(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_22])]) ).
fof(f2425,plain,
( k12_lopclset(sK34) = k6_lopclset(k11_lopclset(sK34))
| v3_realset2(sK34) ),
inference(subsumption_resolution,[],[f2424,f584]) ).
fof(f584,plain,
~ v3_struct_0(sK34),
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
( v17_lattices(sK34)
& v16_lattices(sK34)
& v15_lattices(sK34)
& v14_lattices(sK34)
& v13_lattices(sK34)
& v11_lattices(sK34)
& v10_lattices(sK34)
& v9_lattices(sK34)
& v8_lattices(sK34)
& v7_lattices(sK34)
& v6_lattices(sK34)
& v5_lattices(sK34)
& v4_lattices(sK34)
& v3_lattices(sK34)
& ~ v3_struct_0(sK34)
& l3_lattices(sK34) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f83,f326]) ).
fof(f326,plain,
( ? [X0] :
( v17_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v17_lattices(sK34)
& v16_lattices(sK34)
& v15_lattices(sK34)
& v14_lattices(sK34)
& v13_lattices(sK34)
& v11_lattices(sK34)
& v10_lattices(sK34)
& v9_lattices(sK34)
& v8_lattices(sK34)
& v7_lattices(sK34)
& v6_lattices(sK34)
& v5_lattices(sK34)
& v4_lattices(sK34)
& v3_lattices(sK34)
& ~ v3_struct_0(sK34)
& l3_lattices(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f83,axiom,
? [X0] :
( v17_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc13_lattices) ).
fof(f2424,plain,
( k12_lopclset(sK34) = k6_lopclset(k11_lopclset(sK34))
| v3_realset2(sK34)
| v3_struct_0(sK34) ),
inference(subsumption_resolution,[],[f2423,f592]) ).
fof(f592,plain,
v10_lattices(sK34),
inference(cnf_transformation,[],[f327]) ).
fof(f2423,plain,
( k12_lopclset(sK34) = k6_lopclset(k11_lopclset(sK34))
| v3_realset2(sK34)
| ~ v10_lattices(sK34)
| v3_struct_0(sK34) ),
inference(subsumption_resolution,[],[f2402,f598]) ).
fof(f598,plain,
v17_lattices(sK34),
inference(cnf_transformation,[],[f327]) ).
fof(f2402,plain,
( k12_lopclset(sK34) = k6_lopclset(k11_lopclset(sK34))
| v3_realset2(sK34)
| ~ v17_lattices(sK34)
| ~ v10_lattices(sK34)
| v3_struct_0(sK34) ),
inference(resolution,[],[f454,f583]) ).
fof(f583,plain,
l3_lattices(sK34),
inference(cnf_transformation,[],[f327]) ).
fof(f2147,plain,
( spl38_1
| spl38_20 ),
inference(avatar_contradiction_clause,[],[f2146]) ).
fof(f2146,plain,
( $false
| spl38_1
| spl38_20 ),
inference(subsumption_resolution,[],[f2145,f700]) ).
fof(f700,plain,
( ~ v3_struct_0(sK23)
| spl38_1 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl38_1
<=> v3_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1])]) ).
fof(f2145,plain,
( v3_struct_0(sK23)
| spl38_20 ),
inference(subsumption_resolution,[],[f2144,f523]) ).
fof(f523,plain,
l1_pre_topc(sK23),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
l1_pre_topc(sK23),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f63,f304]) ).
fof(f304,plain,
( ? [X0] : l1_pre_topc(X0)
=> l1_pre_topc(sK23) ),
introduced(choice_axiom,[]) ).
fof(f63,axiom,
? [X0] : l1_pre_topc(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
fof(f2144,plain,
( ~ l1_pre_topc(sK23)
| v3_struct_0(sK23)
| spl38_20 ),
inference(resolution,[],[f2142,f490]) ).
fof(f490,plain,
! [X0,X1] :
( sP6(X0,X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0,X1] :
( sP6(X0,X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X1) ),
inference(definition_folding,[],[f225,f259,f258]) ).
fof(f258,plain,
! [X1,X0] :
( sP5(X1,X0)
<=> ? [X2] :
( v4_pre_topc(X2,X1)
& v3_pre_topc(X2,X1)
& X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f259,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_0_lopclset(X1))
<=> sP5(X1,X0) )
| ~ sP6(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f225,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_0_lopclset(X1))
<=> ? [X2] :
( v4_pre_topc(X2,X1)
& v3_pre_topc(X2,X1)
& X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ l1_pre_topc(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_0_lopclset(X1))
<=> ? [X2] :
( v4_pre_topc(X2,X1)
& v3_pre_topc(X2,X1)
& X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) )
| ~ l1_pre_topc(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0,X1] :
( ( l1_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_1_0_lopclset(X1))
<=> ? [X2] :
( v4_pre_topc(X2,X1)
& v3_pre_topc(X2,X1)
& X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_1_0_lopclset) ).
fof(f2142,plain,
( ~ sP6(k1_lopclset(sK23),sK23)
| spl38_20 ),
inference(avatar_component_clause,[],[f2140]) ).
fof(f2140,plain,
( spl38_20
<=> sP6(k1_lopclset(sK23),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_20])]) ).
fof(f2143,plain,
( ~ spl38_19
| ~ spl38_20
| ~ spl38_2 ),
inference(avatar_split_clause,[],[f2134,f703,f2140,f2136]) ).
fof(f2136,plain,
( spl38_19
<=> sP5(sK23,k1_lopclset(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_19])]) ).
fof(f703,plain,
( spl38_2
<=> k1_lopclset(sK23) = a_1_0_lopclset(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_2])]) ).
fof(f2134,plain,
( ~ sP6(k1_lopclset(sK23),sK23)
| ~ sP5(sK23,k1_lopclset(sK23))
| ~ spl38_2 ),
inference(duplicate_literal_removal,[],[f2133]) ).
fof(f2133,plain,
( ~ sP6(k1_lopclset(sK23),sK23)
| ~ sP5(sK23,k1_lopclset(sK23))
| ~ sP5(sK23,k1_lopclset(sK23))
| ~ sP6(k1_lopclset(sK23),sK23)
| ~ spl38_2 ),
inference(resolution,[],[f1850,f822]) ).
fof(f822,plain,
( ! [X0] :
( r2_hidden(X0,k1_lopclset(sK23))
| ~ sP5(sK23,X0)
| ~ sP6(X0,sK23) )
| ~ spl38_2 ),
inference(superposition,[],[f484,f705]) ).
fof(f705,plain,
( k1_lopclset(sK23) = a_1_0_lopclset(sK23)
| ~ spl38_2 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f484,plain,
! [X0,X1] :
( r2_hidden(X0,a_1_0_lopclset(X1))
| ~ sP5(X1,X0)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_0_lopclset(X1))
| ~ sP5(X1,X0) )
& ( sP5(X1,X0)
| ~ r2_hidden(X0,a_1_0_lopclset(X1)) ) )
| ~ sP6(X0,X1) ),
inference(nnf_transformation,[],[f259]) ).
fof(f1850,plain,
( ! [X0] :
( ~ r2_hidden(k1_lopclset(sK23),X0)
| ~ sP6(X0,sK23)
| ~ sP5(sK23,X0) )
| ~ spl38_2 ),
inference(superposition,[],[f818,f705]) ).
fof(f818,plain,
! [X0,X1] :
( ~ r2_hidden(a_1_0_lopclset(X0),X1)
| ~ sP6(X1,X0)
| ~ sP5(X0,X1) ),
inference(resolution,[],[f484,f472]) ).
fof(f472,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f2127,plain,
spl38_18,
inference(avatar_contradiction_clause,[],[f2126]) ).
fof(f2126,plain,
( $false
| spl38_18 ),
inference(subsumption_resolution,[],[f2125,f536]) ).
fof(f536,plain,
~ v3_struct_0(sK28),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
( v2_pre_topc(sK28)
& v1_pre_topc(sK28)
& ~ v3_struct_0(sK28)
& l1_pre_topc(sK28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f90,f314]) ).
fof(f314,plain,
( ? [X0] :
( v2_pre_topc(X0)
& v1_pre_topc(X0)
& ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ( v2_pre_topc(sK28)
& v1_pre_topc(sK28)
& ~ v3_struct_0(sK28)
& l1_pre_topc(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f90,axiom,
? [X0] :
( v2_pre_topc(X0)
& v1_pre_topc(X0)
& ~ v3_struct_0(X0)
& l1_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_pre_topc) ).
fof(f2125,plain,
( v3_struct_0(sK28)
| spl38_18 ),
inference(subsumption_resolution,[],[f2124,f535]) ).
fof(f535,plain,
l1_pre_topc(sK28),
inference(cnf_transformation,[],[f315]) ).
fof(f2124,plain,
( ~ l1_pre_topc(sK28)
| v3_struct_0(sK28)
| spl38_18 ),
inference(resolution,[],[f2122,f490]) ).
fof(f2122,plain,
( ~ sP6(k1_lopclset(sK28),sK28)
| spl38_18 ),
inference(avatar_component_clause,[],[f2120]) ).
fof(f2120,plain,
( spl38_18
<=> sP6(k1_lopclset(sK28),sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_18])]) ).
fof(f2123,plain,
( ~ spl38_17
| ~ spl38_18 ),
inference(avatar_split_clause,[],[f2093,f2120,f2116]) ).
fof(f2116,plain,
( spl38_17
<=> sP5(sK28,k1_lopclset(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_17])]) ).
fof(f2093,plain,
( ~ sP6(k1_lopclset(sK28),sK28)
| ~ sP5(sK28,k1_lopclset(sK28)) ),
inference(duplicate_literal_removal,[],[f2091]) ).
fof(f2091,plain,
( ~ sP6(k1_lopclset(sK28),sK28)
| ~ sP5(sK28,k1_lopclset(sK28))
| ~ sP5(sK28,k1_lopclset(sK28))
| ~ sP6(k1_lopclset(sK28),sK28) ),
inference(resolution,[],[f1849,f821]) ).
fof(f821,plain,
! [X0] :
( r2_hidden(X0,k1_lopclset(sK28))
| ~ sP5(sK28,X0)
| ~ sP6(X0,sK28) ),
inference(superposition,[],[f484,f697]) ).
fof(f697,plain,
k1_lopclset(sK28) = a_1_0_lopclset(sK28),
inference(subsumption_resolution,[],[f695,f536]) ).
fof(f695,plain,
( k1_lopclset(sK28) = a_1_0_lopclset(sK28)
| v3_struct_0(sK28) ),
inference(resolution,[],[f451,f535]) ).
fof(f451,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k1_lopclset(X0) = a_1_0_lopclset(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( k1_lopclset(X0) = a_1_0_lopclset(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0] :
( k1_lopclset(X0) = a_1_0_lopclset(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k1_lopclset(X0) = a_1_0_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lopclset) ).
fof(f1849,plain,
! [X0] :
( ~ r2_hidden(k1_lopclset(sK28),X0)
| ~ sP6(X0,sK28)
| ~ sP5(sK28,X0) ),
inference(superposition,[],[f818,f697]) ).
fof(f2076,plain,
( ~ spl38_15
| spl38_16
| ~ spl38_2 ),
inference(avatar_split_clause,[],[f2021,f703,f2074,f2070]) ).
fof(f2070,plain,
( spl38_15
<=> v1_xboole_0(k1_lopclset(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_15])]) ).
fof(f2074,plain,
( spl38_16
<=> ! [X0] :
( ~ sP5(sK23,X0)
| ~ sP6(X0,sK23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_16])]) ).
fof(f2021,plain,
( ! [X0] :
( ~ sP5(sK23,X0)
| ~ sP6(X0,sK23)
| ~ v1_xboole_0(k1_lopclset(sK23)) )
| ~ spl38_2 ),
inference(resolution,[],[f822,f498]) ).
fof(f498,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f2068,plain,
~ spl38_13,
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2067,plain,
( $false
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2066,f621]) ).
fof(f621,plain,
v10_lattices(sK36),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
( v16_lattices(sK36)
& v15_lattices(sK36)
& v14_lattices(sK36)
& v13_lattices(sK36)
& v10_lattices(sK36)
& v9_lattices(sK36)
& v8_lattices(sK36)
& v7_lattices(sK36)
& v6_lattices(sK36)
& v5_lattices(sK36)
& v4_lattices(sK36)
& v3_lattices(sK36)
& ~ v3_struct_0(sK36)
& l3_lattices(sK36) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f82,f330]) ).
fof(f330,plain,
( ? [X0] :
( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v16_lattices(sK36)
& v15_lattices(sK36)
& v14_lattices(sK36)
& v13_lattices(sK36)
& v10_lattices(sK36)
& v9_lattices(sK36)
& v8_lattices(sK36)
& v7_lattices(sK36)
& v6_lattices(sK36)
& v5_lattices(sK36)
& v4_lattices(sK36)
& v3_lattices(sK36)
& ~ v3_struct_0(sK36)
& l3_lattices(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f82,axiom,
? [X0] :
( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc12_lattices) ).
fof(f2066,plain,
( ~ v10_lattices(sK36)
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2043,f613]) ).
fof(f613,plain,
~ v3_struct_0(sK36),
inference(cnf_transformation,[],[f331]) ).
fof(f2043,plain,
( v3_struct_0(sK36)
| ~ v10_lattices(sK36)
| ~ spl38_13 ),
inference(resolution,[],[f2028,f612]) ).
fof(f612,plain,
l3_lattices(sK36),
inference(cnf_transformation,[],[f331]) ).
fof(f2028,plain,
( ! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) )
| ~ spl38_13 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f2027,plain,
( spl38_13
<=> ! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_13])]) ).
fof(f2065,plain,
~ spl38_13,
inference(avatar_contradiction_clause,[],[f2064]) ).
fof(f2064,plain,
( $false
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2063,f608]) ).
fof(f2063,plain,
( ~ v10_lattices(sK35)
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2042,f600]) ).
fof(f2042,plain,
( v3_struct_0(sK35)
| ~ v10_lattices(sK35)
| ~ spl38_13 ),
inference(resolution,[],[f2028,f599]) ).
fof(f2062,plain,
~ spl38_13,
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2061,plain,
( $false
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2060,f592]) ).
fof(f2060,plain,
( ~ v10_lattices(sK34)
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2041,f584]) ).
fof(f2041,plain,
( v3_struct_0(sK34)
| ~ v10_lattices(sK34)
| ~ spl38_13 ),
inference(resolution,[],[f2028,f583]) ).
fof(f2059,plain,
~ spl38_13,
inference(avatar_contradiction_clause,[],[f2058]) ).
fof(f2058,plain,
( $false
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2057,f579]) ).
fof(f2057,plain,
( ~ v10_lattices(sK33)
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2040,f571]) ).
fof(f2040,plain,
( v3_struct_0(sK33)
| ~ v10_lattices(sK33)
| ~ spl38_13 ),
inference(resolution,[],[f2028,f570]) ).
fof(f2056,plain,
~ spl38_13,
inference(avatar_contradiction_clause,[],[f2055]) ).
fof(f2055,plain,
( $false
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2054,f569]) ).
fof(f2054,plain,
( ~ v10_lattices(sK32)
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2039,f561]) ).
fof(f2039,plain,
( v3_struct_0(sK32)
| ~ v10_lattices(sK32)
| ~ spl38_13 ),
inference(resolution,[],[f2028,f560]) ).
fof(f2052,plain,
~ spl38_13,
inference(avatar_contradiction_clause,[],[f2051]) ).
fof(f2051,plain,
( $false
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2050,f549]) ).
fof(f549,plain,
v10_lattices(sK30),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
( ~ v3_realset2(sK30)
& v17_lattices(sK30)
& v16_lattices(sK30)
& v15_lattices(sK30)
& v14_lattices(sK30)
& v13_lattices(sK30)
& v11_lattices(sK30)
& v10_lattices(sK30)
& v9_lattices(sK30)
& v8_lattices(sK30)
& v7_lattices(sK30)
& v6_lattices(sK30)
& v5_lattices(sK30)
& v4_lattices(sK30)
& ~ v3_struct_0(sK30)
& l3_lattices(sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f117,f318]) ).
fof(f318,plain,
( ? [X0] :
( ~ v3_realset2(X0)
& v17_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_realset2(sK30)
& v17_lattices(sK30)
& v16_lattices(sK30)
& v15_lattices(sK30)
& v14_lattices(sK30)
& v13_lattices(sK30)
& v11_lattices(sK30)
& v10_lattices(sK30)
& v9_lattices(sK30)
& v8_lattices(sK30)
& v7_lattices(sK30)
& v6_lattices(sK30)
& v5_lattices(sK30)
& v4_lattices(sK30)
& ~ v3_struct_0(sK30)
& l3_lattices(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0] :
( ~ v3_realset2(X0)
& v17_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(pure_predicate_removal,[],[f86]) ).
fof(f86,axiom,
? [X0] :
( ~ v3_realset2(X0)
& v17_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v12_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lopclset) ).
fof(f2050,plain,
( ~ v10_lattices(sK30)
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2037,f542]) ).
fof(f542,plain,
~ v3_struct_0(sK30),
inference(cnf_transformation,[],[f319]) ).
fof(f2037,plain,
( v3_struct_0(sK30)
| ~ v10_lattices(sK30)
| ~ spl38_13 ),
inference(resolution,[],[f2028,f541]) ).
fof(f541,plain,
l3_lattices(sK30),
inference(cnf_transformation,[],[f319]) ).
fof(f2049,plain,
~ spl38_13,
inference(avatar_contradiction_clause,[],[f2048]) ).
fof(f2048,plain,
( $false
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2047,f335]) ).
fof(f2047,plain,
( ~ v10_lattices(sK7)
| ~ spl38_13 ),
inference(subsumption_resolution,[],[f2035,f334]) ).
fof(f2035,plain,
( v3_struct_0(sK7)
| ~ v10_lattices(sK7)
| ~ spl38_13 ),
inference(resolution,[],[f2028,f338]) ).
fof(f2032,plain,
( spl38_13
| spl38_14 ),
inference(avatar_split_clause,[],[f491,f2030,f2027]) ).
fof(f2030,plain,
( spl38_14
<=> ! [X0] :
( r1_filter_1(X0,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_14])]) ).
fof(f491,plain,
! [X0,X1] :
( r1_filter_1(X0,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( r1_filter_1(X0,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f226]) ).
fof(f226,plain,
! [X0,X1] :
( r1_filter_1(X0,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_filter_1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_filter_1) ).
fof(f2018,plain,
( ~ spl38_11
| spl38_12 ),
inference(avatar_split_clause,[],[f2006,f2016,f2012]) ).
fof(f2012,plain,
( spl38_11
<=> v1_xboole_0(k1_lopclset(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_11])]) ).
fof(f2016,plain,
( spl38_12
<=> ! [X0] :
( ~ sP5(sK28,X0)
| ~ sP6(X0,sK28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_12])]) ).
fof(f2006,plain,
! [X0] :
( ~ sP5(sK28,X0)
| ~ sP6(X0,sK28)
| ~ v1_xboole_0(k1_lopclset(sK28)) ),
inference(resolution,[],[f821,f498]) ).
fof(f1414,plain,
( spl38_9
| ~ spl38_10 ),
inference(avatar_split_clause,[],[f1081,f1411,f1407]) ).
fof(f1407,plain,
( spl38_9
<=> v1_xboole_0(sK9(k1_zfmisc_1(k1_xboole_0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_9])]) ).
fof(f1411,plain,
( spl38_10
<=> r2_hidden(sK9(k1_zfmisc_1(k1_xboole_0)),k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_10])]) ).
fof(f1081,plain,
( ~ r2_hidden(sK9(k1_zfmisc_1(k1_xboole_0)),k1_xboole_0)
| v1_xboole_0(sK9(k1_zfmisc_1(k1_xboole_0))) ),
inference(superposition,[],[f670,f1067]) ).
fof(f1067,plain,
k1_xboole_0 = sK13(sK9(k1_zfmisc_1(k1_xboole_0))),
inference(resolution,[],[f1015,f340]) ).
fof(f340,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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(f1015,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK13(sK9(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f1011,f390]) ).
fof(f390,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f1011,plain,
! [X0] :
( v1_xboole_0(sK13(sK9(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f984,f666]) ).
fof(f666,plain,
! [X0] :
( r2_hidden(sK13(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f474,f467]) ).
fof(f467,plain,
! [X0] : m1_subset_1(sK13(X0),X0),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] : m1_subset_1(sK13(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f68,f279]) ).
fof(f279,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK13(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f68,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f474,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,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(f984,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK13(sK9(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f976,f346]) ).
fof(f346,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( v4_finsub_1(k1_zfmisc_1(X0))
& v3_finsub_1(k1_zfmisc_1(X0))
& v1_finsub_1(k1_zfmisc_1(X0))
& ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_finsub_1) ).
fof(f976,plain,
! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK13(sK9(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f972,f519]) ).
fof(f519,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f972,plain,
! [X0] :
( m1_subset_1(sK13(sK9(X0)),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f969,f354]) ).
fof(f354,plain,
! [X0] :
( ~ v1_xboole_0(sK9(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ( v1_finset_1(sK9(X0))
& ~ v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f140,f265]) ).
fof(f265,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_finset_1(sK9(X0))
& ~ v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(f969,plain,
! [X0] :
( m1_subset_1(sK13(sK9(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK9(X0)) ),
inference(resolution,[],[f841,f666]) ).
fof(f841,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK9(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) ),
inference(resolution,[],[f516,f353]) ).
fof(f353,plain,
! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f516,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f670,plain,
! [X0] :
( ~ r2_hidden(X0,sK13(X0))
| v1_xboole_0(X0) ),
inference(resolution,[],[f666,f472]) ).
fof(f1401,plain,
( spl38_7
| ~ spl38_8 ),
inference(avatar_split_clause,[],[f946,f1398,f1394]) ).
fof(f1394,plain,
( spl38_7
<=> v1_xboole_0(sK8(k1_zfmisc_1(k1_xboole_0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_7])]) ).
fof(f1398,plain,
( spl38_8
<=> r2_hidden(sK8(k1_zfmisc_1(k1_xboole_0)),k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_8])]) ).
fof(f946,plain,
( ~ r2_hidden(sK8(k1_zfmisc_1(k1_xboole_0)),k1_xboole_0)
| v1_xboole_0(sK8(k1_zfmisc_1(k1_xboole_0))) ),
inference(superposition,[],[f670,f934]) ).
fof(f934,plain,
k1_xboole_0 = sK13(sK8(k1_zfmisc_1(k1_xboole_0))),
inference(resolution,[],[f915,f340]) ).
fof(f915,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK13(sK8(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f909,f390]) ).
fof(f909,plain,
! [X0] :
( v1_xboole_0(sK13(sK8(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f878,f666]) ).
fof(f878,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK13(sK8(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f870,f346]) ).
fof(f870,plain,
! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK13(sK8(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f868,f519]) ).
fof(f868,plain,
! [X0] :
( m1_subset_1(sK13(sK8(X0)),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f867,f351]) ).
fof(f351,plain,
! [X0] :
( ~ v1_xboole_0(sK8(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ( v1_finset_1(sK8(X0))
& ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f139,f263]) ).
fof(f263,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_finset_1(sK8(X0))
& ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(f867,plain,
! [X0] :
( m1_subset_1(sK13(sK8(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK8(X0)) ),
inference(resolution,[],[f840,f666]) ).
fof(f840,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK8(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) ),
inference(resolution,[],[f516,f350]) ).
fof(f350,plain,
! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f1167,plain,
( ~ spl38_5
| spl38_6 ),
inference(avatar_split_clause,[],[f1158,f1164,f1160]) ).
fof(f1160,plain,
( spl38_5
<=> v11_lattices(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_5])]) ).
fof(f1164,plain,
( spl38_6
<=> v17_lattices(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_6])]) ).
fof(f1158,plain,
( v17_lattices(sK36)
| ~ v11_lattices(sK36) ),
inference(subsumption_resolution,[],[f1157,f612]) ).
fof(f1157,plain,
( v17_lattices(sK36)
| ~ v11_lattices(sK36)
| ~ l3_lattices(sK36) ),
inference(subsumption_resolution,[],[f1156,f613]) ).
fof(f1156,plain,
( v17_lattices(sK36)
| ~ v11_lattices(sK36)
| v3_struct_0(sK36)
| ~ l3_lattices(sK36) ),
inference(subsumption_resolution,[],[f1154,f624]) ).
fof(f624,plain,
v15_lattices(sK36),
inference(cnf_transformation,[],[f331]) ).
fof(f1154,plain,
( v17_lattices(sK36)
| ~ v15_lattices(sK36)
| ~ v11_lattices(sK36)
| v3_struct_0(sK36)
| ~ l3_lattices(sK36) ),
inference(resolution,[],[f402,f625]) ).
fof(f625,plain,
v16_lattices(sK36),
inference(cnf_transformation,[],[f331]) ).
fof(f402,plain,
! [X0] :
( ~ v16_lattices(X0)
| v17_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v16_lattices(X0)
& v15_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f715,plain,
( spl38_3
| spl38_4 ),
inference(avatar_split_clause,[],[f696,f712,f708]) ).
fof(f708,plain,
( spl38_3
<=> v3_struct_0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_3])]) ).
fof(f712,plain,
( spl38_4
<=> k1_lopclset(sK29) = a_1_0_lopclset(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_4])]) ).
fof(f696,plain,
( k1_lopclset(sK29) = a_1_0_lopclset(sK29)
| v3_struct_0(sK29) ),
inference(resolution,[],[f451,f539]) ).
fof(f539,plain,
l1_pre_topc(sK29),
inference(cnf_transformation,[],[f317]) ).
fof(f317,plain,
( v1_pre_topc(sK29)
& l1_pre_topc(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f88,f316]) ).
fof(f316,plain,
( ? [X0] :
( v1_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( v1_pre_topc(sK29)
& l1_pre_topc(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f88,axiom,
? [X0] :
( v1_pre_topc(X0)
& l1_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_pre_topc) ).
fof(f706,plain,
( spl38_1
| spl38_2 ),
inference(avatar_split_clause,[],[f694,f703,f699]) ).
fof(f694,plain,
( k1_lopclset(sK23) = a_1_0_lopclset(sK23)
| v3_struct_0(sK23) ),
inference(resolution,[],[f451,f523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.32 % Computer : n018.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Fri May 3 12:34:46 EDT 2024
% 0.14/0.32 % CPUTime :
% 0.14/0.32 % (28366)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.34 % (28369)WARNING: value z3 for option sas not known
% 0.14/0.34 % (28367)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.34 % (28369)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)
% 0.14/0.34 % (28371)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)
% 0.14/0.34 % (28373)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)
% 0.14/0.34 % (28368)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.34 % (28370)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.35 % (28372)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)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 % (28369)First to succeed.
% 0.14/0.39 % (28369)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28366"
% 0.14/0.39 % (28369)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (28369)------------------------------
% 0.14/0.39 % (28369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (28369)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (28369)Memory used [KB]: 2217
% 0.14/0.39 % (28369)Time elapsed: 0.049 s
% 0.14/0.39 % (28369)Instructions burned: 144 (million)
% 0.14/0.39 % (28366)Success in time 0.064 s
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