TSTP Solution File: SEU411+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU411+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:36:59 EDT 2023
% Result : Theorem 26.59s 6.03s
% Output : CNFRefutation 28.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 68 ( 22 unt; 0 def)
% Number of atoms : 264 ( 8 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 287 ( 91 ~; 86 |; 90 &)
% ( 12 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 11 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 45 (; 41 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
! [A,B,C] :
( C = k3_xboole_0(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,A)
& r2_hidden(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15831,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& v1_waybel_0(B,A)
& v12_waybel_0(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> r2_hidden(k3_yellow_0(A),B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19046,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& v1_lattice3(B)
& l1_orders_2(B) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
& v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))) )
=> r2_hidden(k3_yellow_0(B),u1_struct_0(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19047,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& v1_lattice3(B)
& l1_orders_2(B) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
& v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))) )
=> r2_hidden(k3_yellow_0(B),u1_struct_0(A)) ) ) ),
inference(negated_conjecture,[status(cth)],[f19046]) ).
fof(f19151,plain,
! [A,B,C] :
( ( C != k3_xboole_0(A,B)
| ! [D] :
( ( ~ r2_hidden(D,C)
| ( r2_hidden(D,A)
& r2_hidden(D,B) ) )
& ( r2_hidden(D,C)
| ~ r2_hidden(D,A)
| ~ r2_hidden(D,B) ) ) )
& ( C = k3_xboole_0(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
| ~ r2_hidden(D,A)
| ~ r2_hidden(D,B) )
& ( r2_hidden(D,C)
| ( r2_hidden(D,A)
& r2_hidden(D,B) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f31]) ).
fof(f19152,plain,
( ! [A,B,C] :
( C != k3_xboole_0(A,B)
| ( ! [D] :
( ~ r2_hidden(D,C)
| ( r2_hidden(D,A)
& r2_hidden(D,B) ) )
& ! [D] :
( r2_hidden(D,C)
| ~ r2_hidden(D,A)
| ~ r2_hidden(D,B) ) ) )
& ! [A,B,C] :
( C = k3_xboole_0(A,B)
| ? [D] :
( ( ~ r2_hidden(D,C)
| ~ r2_hidden(D,A)
| ~ r2_hidden(D,B) )
& ( r2_hidden(D,C)
| ( r2_hidden(D,A)
& r2_hidden(D,B) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f19151]) ).
fof(f19153,plain,
( ! [A,B,C] :
( C != k3_xboole_0(A,B)
| ( ! [D] :
( ~ r2_hidden(D,C)
| ( r2_hidden(D,A)
& r2_hidden(D,B) ) )
& ! [D] :
( r2_hidden(D,C)
| ~ r2_hidden(D,A)
| ~ r2_hidden(D,B) ) ) )
& ! [A,B,C] :
( C = k3_xboole_0(A,B)
| ( ( ~ r2_hidden(sk0_24(C,B,A),C)
| ~ r2_hidden(sk0_24(C,B,A),A)
| ~ r2_hidden(sk0_24(C,B,A),B) )
& ( r2_hidden(sk0_24(C,B,A),C)
| ( r2_hidden(sk0_24(C,B,A),A)
& r2_hidden(sk0_24(C,B,A),B) ) ) ) ) ),
inference(skolemization,[status(esa)],[f19152]) ).
fof(f19154,plain,
! [X0,X1,X2,X3] :
( X0 != k3_xboole_0(X1,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f19153]) ).
fof(f72778,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_orders_2(A)
| ~ v3_orders_2(A)
| ~ v4_orders_2(A)
| ~ v1_yellow_0(A)
| ~ l1_orders_2(A)
| ! [B] :
( v1_xboole_0(B)
| ~ v1_waybel_0(B,A)
| ~ v12_waybel_0(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| r2_hidden(k3_yellow_0(A),B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f15831]) ).
fof(f72779,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,X0)
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(k3_yellow_0(X0),X1) ),
inference(cnf_transformation,[status(esa)],[f72778]) ).
fof(f89112,plain,
? [A] :
( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& l1_orders_2(A)
& ? [B] :
( ~ v3_struct_0(B)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& v1_lattice3(B)
& l1_orders_2(B)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
& v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))
& ~ r2_hidden(k3_yellow_0(B),u1_struct_0(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f19047]) ).
fof(f89113,plain,
( ~ v3_struct_0(sk0_6520)
& v2_orders_2(sk0_6520)
& v3_orders_2(sk0_6520)
& v4_orders_2(sk0_6520)
& v1_yellow_0(sk0_6520)
& v1_lattice3(sk0_6520)
& l1_orders_2(sk0_6520)
& ~ v3_struct_0(sk0_6521)
& v2_orders_2(sk0_6521)
& v3_orders_2(sk0_6521)
& v4_orders_2(sk0_6521)
& v1_yellow_0(sk0_6521)
& v1_lattice3(sk0_6521)
& l1_orders_2(sk0_6521)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),sk0_6521)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),sk0_6521)
& m1_subset_1(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),k1_zfmisc_1(u1_struct_0(sk0_6521)))
& ~ r2_hidden(k3_yellow_0(sk0_6521),u1_struct_0(sk0_6520)) ),
inference(skolemization,[status(esa)],[f89112]) ).
fof(f89121,plain,
~ v3_struct_0(sk0_6521),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89122,plain,
v2_orders_2(sk0_6521),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89123,plain,
v3_orders_2(sk0_6521),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89124,plain,
v4_orders_2(sk0_6521),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89125,plain,
v1_yellow_0(sk0_6521),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89127,plain,
l1_orders_2(sk0_6521),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89128,plain,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521))),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89129,plain,
v1_waybel_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),sk0_6521),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89130,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),sk0_6521),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89131,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),k1_zfmisc_1(u1_struct_0(sk0_6521))),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f89132,plain,
~ r2_hidden(k3_yellow_0(sk0_6521),u1_struct_0(sk0_6520)),
inference(cnf_transformation,[status(esa)],[f89113]) ).
fof(f103500,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,k3_xboole_0(X1,X2))
| r2_hidden(X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f19154]) ).
fof(f115726,plain,
( spl0_2412
<=> v2_orders_2(sk0_6521) ),
introduced(split_symbol_definition) ).
fof(f115728,plain,
( ~ v2_orders_2(sk0_6521)
| spl0_2412 ),
inference(component_clause,[status(thm)],[f115726]) ).
fof(f115729,plain,
( spl0_2413
<=> v3_orders_2(sk0_6521) ),
introduced(split_symbol_definition) ).
fof(f115731,plain,
( ~ v3_orders_2(sk0_6521)
| spl0_2413 ),
inference(component_clause,[status(thm)],[f115729]) ).
fof(f115732,plain,
( spl0_2414
<=> v4_orders_2(sk0_6521) ),
introduced(split_symbol_definition) ).
fof(f115734,plain,
( ~ v4_orders_2(sk0_6521)
| spl0_2414 ),
inference(component_clause,[status(thm)],[f115732]) ).
fof(f115738,plain,
( spl0_2416
<=> l1_orders_2(sk0_6521) ),
introduced(split_symbol_definition) ).
fof(f115740,plain,
( ~ l1_orders_2(sk0_6521)
| spl0_2416 ),
inference(component_clause,[status(thm)],[f115738]) ).
fof(f115741,plain,
( spl0_2417
<=> v1_xboole_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521))) ),
introduced(split_symbol_definition) ).
fof(f115742,plain,
( v1_xboole_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)))
| ~ spl0_2417 ),
inference(component_clause,[status(thm)],[f115741]) ).
fof(f115744,plain,
( spl0_2418
<=> v12_waybel_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),sk0_6521) ),
introduced(split_symbol_definition) ).
fof(f115746,plain,
( ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),sk0_6521)
| spl0_2418 ),
inference(component_clause,[status(thm)],[f115744]) ).
fof(f115747,plain,
( spl0_2419
<=> m1_subset_1(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),k1_zfmisc_1(u1_struct_0(sk0_6521))) ),
introduced(split_symbol_definition) ).
fof(f115749,plain,
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),k1_zfmisc_1(u1_struct_0(sk0_6521)))
| spl0_2419 ),
inference(component_clause,[status(thm)],[f115747]) ).
fof(f115755,plain,
( $false
| spl0_2419 ),
inference(forward_subsumption_resolution,[status(thm)],[f115749,f89131]) ).
fof(f115756,plain,
spl0_2419,
inference(contradiction_clause,[status(thm)],[f115755]) ).
fof(f115757,plain,
( $false
| spl0_2418 ),
inference(forward_subsumption_resolution,[status(thm)],[f115746,f89130]) ).
fof(f115758,plain,
spl0_2418,
inference(contradiction_clause,[status(thm)],[f115757]) ).
fof(f115759,plain,
( $false
| spl0_2416 ),
inference(forward_subsumption_resolution,[status(thm)],[f115740,f89127]) ).
fof(f115760,plain,
spl0_2416,
inference(contradiction_clause,[status(thm)],[f115759]) ).
fof(f115763,plain,
( $false
| spl0_2414 ),
inference(forward_subsumption_resolution,[status(thm)],[f115734,f89124]) ).
fof(f115764,plain,
spl0_2414,
inference(contradiction_clause,[status(thm)],[f115763]) ).
fof(f115765,plain,
( $false
| spl0_2413 ),
inference(forward_subsumption_resolution,[status(thm)],[f115731,f89123]) ).
fof(f115766,plain,
spl0_2413,
inference(contradiction_clause,[status(thm)],[f115765]) ).
fof(f115767,plain,
( $false
| spl0_2412 ),
inference(forward_subsumption_resolution,[status(thm)],[f115728,f89122]) ).
fof(f115768,plain,
spl0_2412,
inference(contradiction_clause,[status(thm)],[f115767]) ).
fof(f115769,plain,
( $false
| ~ spl0_2417 ),
inference(forward_subsumption_resolution,[status(thm)],[f115742,f89128]) ).
fof(f115770,plain,
~ spl0_2417,
inference(contradiction_clause,[status(thm)],[f115769]) ).
fof(f116375,plain,
( spl0_2437
<=> v3_struct_0(sk0_6521) ),
introduced(split_symbol_definition) ).
fof(f116376,plain,
( v3_struct_0(sk0_6521)
| ~ spl0_2437 ),
inference(component_clause,[status(thm)],[f116375]) ).
fof(f116406,plain,
( $false
| ~ spl0_2437 ),
inference(forward_subsumption_resolution,[status(thm)],[f116376,f89121]) ).
fof(f116407,plain,
~ spl0_2437,
inference(contradiction_clause,[status(thm)],[f116406]) ).
fof(f116550,plain,
( spl0_2447
<=> v1_yellow_0(sk0_6521) ),
introduced(split_symbol_definition) ).
fof(f116552,plain,
( ~ v1_yellow_0(sk0_6521)
| spl0_2447 ),
inference(component_clause,[status(thm)],[f116550]) ).
fof(f116553,plain,
( spl0_2448
<=> r2_hidden(k3_yellow_0(sk0_6521),k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521))) ),
introduced(split_symbol_definition) ).
fof(f116554,plain,
( r2_hidden(k3_yellow_0(sk0_6521),k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)))
| ~ spl0_2448 ),
inference(component_clause,[status(thm)],[f116553]) ).
fof(f116556,plain,
( v3_struct_0(sk0_6521)
| ~ v2_orders_2(sk0_6521)
| ~ v3_orders_2(sk0_6521)
| ~ v4_orders_2(sk0_6521)
| ~ v1_yellow_0(sk0_6521)
| ~ l1_orders_2(sk0_6521)
| v1_xboole_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),sk0_6521)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521)),k1_zfmisc_1(u1_struct_0(sk0_6521)))
| r2_hidden(k3_yellow_0(sk0_6521),k3_xboole_0(u1_struct_0(sk0_6520),u1_struct_0(sk0_6521))) ),
inference(resolution,[status(thm)],[f72779,f89129]) ).
fof(f116557,plain,
( spl0_2437
| ~ spl0_2412
| ~ spl0_2413
| ~ spl0_2414
| ~ spl0_2447
| ~ spl0_2416
| spl0_2417
| ~ spl0_2418
| ~ spl0_2419
| spl0_2448 ),
inference(split_clause,[status(thm)],[f116556,f116375,f115726,f115729,f115732,f116550,f115738,f115741,f115744,f115747,f116553]) ).
fof(f116558,plain,
( $false
| spl0_2447 ),
inference(forward_subsumption_resolution,[status(thm)],[f116552,f89125]) ).
fof(f116559,plain,
spl0_2447,
inference(contradiction_clause,[status(thm)],[f116558]) ).
fof(f116686,plain,
( r2_hidden(k3_yellow_0(sk0_6521),u1_struct_0(sk0_6520))
| ~ spl0_2448 ),
inference(resolution,[status(thm)],[f116554,f103500]) ).
fof(f116687,plain,
( $false
| ~ spl0_2448 ),
inference(forward_subsumption_resolution,[status(thm)],[f116686,f89132]) ).
fof(f116688,plain,
~ spl0_2448,
inference(contradiction_clause,[status(thm)],[f116687]) ).
fof(f116689,plain,
$false,
inference(sat_refutation,[status(thm)],[f115756,f115758,f115760,f115764,f115766,f115768,f115770,f116407,f116557,f116559,f116688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SEU411+3 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 09:08:00 EDT 2023
% 0.10/0.30 % CPUTime :
% 2.74/2.90 % Drodi V3.5.1
% 26.59/6.03 % Refutation found
% 26.59/6.03 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.59/6.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.49/6.40 % Elapsed time: 6.067111 seconds
% 29.49/6.40 % CPU time: 27.658740 seconds
% 29.49/6.40 % Memory used: 5.048 GB
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