TSTP Solution File: LAT302+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT302+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 : Tue Apr 30 20:25:42 EDT 2024
% Result : Theorem 2.74s 0.70s
% Output : CNFRefutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 55
% Syntax : Number of formulae : 233 ( 46 unt; 0 def)
% Number of atoms : 690 ( 15 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 720 ( 263 ~; 282 |; 116 &)
% ( 36 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 54 ( 52 usr; 31 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 112 ( 104 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( v13_lattices(A)
=> m2_filter_2(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( v13_lattices(A)
=> m2_filter_2(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f15,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_lattices(A) )
=> m1_subset_1(k5_lattices(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l2_lattices(A) )
=> m1_subset_1(k6_lattices(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A] :
( l1_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_filter_0(B,A)
=> ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ? [B] : m1_filter_0(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A] : ~ v1_xboole_0(k1_tarski(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v10_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
? [A] :
( l3_lattices(A)
& ~ v3_struct_0(A)
& v3_lattices(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& v10_lattices(A)
& v13_lattices(A)
& v14_lattices(A)
& v15_lattices(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
? [A] :
( l1_struct_0(A)
& ~ v3_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
? [A] :
( l3_lattices(A)
& ~ v3_struct_0(A)
& v3_lattices(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
? [A] :
( l3_lattices(A)
& ~ v3_struct_0(A)
& v3_lattices(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& v10_lattices(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [A,B] :
( ( ~ v1_xboole_0(A)
& m1_subset_1(B,A) )
=> k6_domain_1(A,B) = k1_tarski(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_filter_2(B,A)
<=> m1_filter_0(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v14_lattices(A)
& l3_lattices(A) )
=> m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
<=> m1_filter_2(B,k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [A,B,C] :
~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C))
& v1_xboole_0(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( v13_lattices(A)
<=> v14_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v13_lattices(A)
& l3_lattices(A) )
=> k5_lattices(A) = k6_lattices(k1_lattice2(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,plain,
? [A] :
( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& v13_lattices(A)
& ~ m2_filter_2(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f95,plain,
( ~ v3_struct_0(sk0_0)
& v10_lattices(sk0_0)
& l3_lattices(sk0_0)
& v13_lattices(sk0_0)
& ~ m2_filter_2(k6_domain_1(u1_struct_0(sk0_0),k5_lattices(sk0_0)),sk0_0) ),
inference(skolemization,[status(esa)],[f94]) ).
fof(f96,plain,
~ v3_struct_0(sk0_0),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f97,plain,
v10_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f98,plain,
l3_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f99,plain,
v13_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f100,plain,
~ m2_filter_2(k6_domain_1(u1_struct_0(sk0_0),k5_lattices(sk0_0)),sk0_0),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f139,plain,
! [A] :
( ~ l3_lattices(A)
| ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f141,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f142,plain,
! [A] :
( v3_struct_0(A)
| ~ l1_lattices(A)
| m1_subset_1(k5_lattices(A),u1_struct_0(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f143,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_lattices(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f146,plain,
! [A] :
( v3_struct_0(A)
| ~ l2_lattices(A)
| m1_subset_1(k6_lattices(A),u1_struct_0(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f147,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l2_lattices(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
! [A] :
( ~ l1_lattices(A)
| l1_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f149,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f152,plain,
! [A] :
( ~ l3_lattices(A)
| ( l1_lattices(A)
& l2_lattices(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f153,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f152]) ).
fof(f154,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f152]) ).
fof(f155,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( ~ m1_filter_0(B,A)
| ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f156,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[status(esa)],[f155]) ).
fof(f157,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[status(esa)],[f155]) ).
fof(f184,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ? [B] : m1_filter_0(B,A) ),
inference(pre_NNF_transformation,[status(esa)],[f41]) ).
fof(f185,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| m1_filter_0(sk0_5(A),A) ),
inference(skolemization,[status(esa)],[f184]) ).
fof(f186,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_filter_0(sk0_5(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f185]) ).
fof(f192,plain,
! [A] : m1_subset_1(sk0_8(A),A),
inference(skolemization,[status(esa)],[f44]) ).
fof(f193,plain,
! [X0] : m1_subset_1(sk0_8(X0),X0),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f202,plain,
! [A] :
( v3_struct_0(A)
| ~ l3_lattices(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f48]) ).
fof(f203,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f202]) ).
fof(f205,plain,
! [A] :
( v3_struct_0(A)
| ~ l1_struct_0(A)
| ~ v1_xboole_0(u1_struct_0(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f49]) ).
fof(f206,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f205]) ).
fof(f215,plain,
! [X0] : ~ v1_xboole_0(k1_tarski(X0)),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f243,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v10_lattices(k1_lattice2(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f60]) ).
fof(f252,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f243]) ).
fof(f257,plain,
( l3_lattices(sk0_12)
& ~ v3_struct_0(sk0_12)
& v3_lattices(sk0_12)
& v4_lattices(sk0_12)
& v5_lattices(sk0_12)
& v6_lattices(sk0_12)
& v7_lattices(sk0_12)
& v8_lattices(sk0_12)
& v9_lattices(sk0_12)
& v10_lattices(sk0_12)
& v13_lattices(sk0_12)
& v14_lattices(sk0_12)
& v15_lattices(sk0_12) ),
inference(skolemization,[status(esa)],[f62]) ).
fof(f258,plain,
l3_lattices(sk0_12),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f306,plain,
( l1_struct_0(sk0_24)
& ~ v3_struct_0(sk0_24) ),
inference(skolemization,[status(esa)],[f74]) ).
fof(f308,plain,
~ v3_struct_0(sk0_24),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f313,plain,
( l3_lattices(sk0_26)
& ~ v3_struct_0(sk0_26)
& v3_lattices(sk0_26) ),
inference(skolemization,[status(esa)],[f76]) ).
fof(f314,plain,
l3_lattices(sk0_26),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f317,plain,
( l3_lattices(sk0_27)
& ~ v3_struct_0(sk0_27)
& v3_lattices(sk0_27)
& v4_lattices(sk0_27)
& v5_lattices(sk0_27)
& v6_lattices(sk0_27)
& v7_lattices(sk0_27)
& v8_lattices(sk0_27)
& v9_lattices(sk0_27)
& v10_lattices(sk0_27) ),
inference(skolemization,[status(esa)],[f77]) ).
fof(f318,plain,
l3_lattices(sk0_27),
inference(cnf_transformation,[status(esa)],[f317]) ).
fof(f328,plain,
! [A,B] :
( v1_xboole_0(A)
| ~ m1_subset_1(B,A)
| k6_domain_1(A,B) = k1_tarski(B) ),
inference(pre_NNF_transformation,[status(esa)],[f78]) ).
fof(f329,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| k6_domain_1(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f330,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( m1_filter_2(B,A)
<=> m1_filter_0(B,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f79]) ).
fof(f331,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( ( ~ m1_filter_2(B,A)
| m1_filter_0(B,A) )
& ( m1_filter_2(B,A)
| ~ m1_filter_0(B,A) ) ) ),
inference(NNF_transformation,[status(esa)],[f330]) ).
fof(f332,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ! [B] :
( ~ m1_filter_2(B,A)
| m1_filter_0(B,A) )
& ! [B] :
( m1_filter_2(B,A)
| ~ m1_filter_0(B,A) ) ) ),
inference(miniscoping,[status(esa)],[f331]) ).
fof(f334,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f341,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v14_lattices(A)
| ~ l3_lattices(A)
| m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A) ),
inference(pre_NNF_transformation,[status(esa)],[f82]) ).
fof(f342,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0) ),
inference(cnf_transformation,[status(esa)],[f341]) ).
fof(f345,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( m2_filter_2(B,A)
<=> m1_filter_2(B,k1_lattice2(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f84]) ).
fof(f346,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ! [B] :
( ( ~ m2_filter_2(B,A)
| m1_filter_2(B,k1_lattice2(A)) )
& ( m2_filter_2(B,A)
| ~ m1_filter_2(B,k1_lattice2(A)) ) ) ),
inference(NNF_transformation,[status(esa)],[f345]) ).
fof(f347,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ! [B] :
( ~ m2_filter_2(B,A)
| m1_filter_2(B,k1_lattice2(A)) )
& ! [B] :
( m2_filter_2(B,A)
| ~ m1_filter_2(B,k1_lattice2(A)) ) ) ),
inference(miniscoping,[status(esa)],[f346]) ).
fof(f349,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f347]) ).
fof(f350,plain,
! [A,B] :
( ~ m1_subset_1(A,B)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f85]) ).
fof(f351,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f359,plain,
! [A,B,C] :
( ~ r2_hidden(A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ v1_xboole_0(C) ),
inference(pre_NNF_transformation,[status(esa)],[f88]) ).
fof(f360,plain,
! [C] :
( ! [B] :
( ! [A] : ~ r2_hidden(A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(C)) )
| ~ v1_xboole_0(C) ),
inference(miniscoping,[status(esa)],[f359]) ).
fof(f361,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[status(esa)],[f360]) ).
fof(f362,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( v13_lattices(A)
<=> v14_lattices(k1_lattice2(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f89]) ).
fof(f363,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ( ~ v13_lattices(A)
| v14_lattices(k1_lattice2(A)) )
& ( v13_lattices(A)
| ~ v14_lattices(k1_lattice2(A)) ) ) ),
inference(NNF_transformation,[status(esa)],[f362]) ).
fof(f364,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| v14_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f368,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v13_lattices(A)
| ~ l3_lattices(A)
| k5_lattices(A) = k6_lattices(k1_lattice2(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f91]) ).
fof(f369,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f377,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f342]) ).
fof(f392,plain,
( spl0_4
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( v3_struct_0(sk0_0)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( spl0_5
<=> v10_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( ~ v10_lattices(sk0_0)
| spl0_5 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( spl0_6
<=> l3_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f400,plain,
( ~ l3_lattices(sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( spl0_7
<=> k5_lattices(sk0_0) = k6_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f402,plain,
( k5_lattices(sk0_0) = k6_lattices(k1_lattice2(sk0_0))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| k5_lattices(sk0_0) = k6_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f369,f99]) ).
fof(f405,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f404,f392,f395,f398,f401]) ).
fof(f406,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f400,f98]) ).
fof(f407,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f406]) ).
fof(f408,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f397,f97]) ).
fof(f409,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f408]) ).
fof(f412,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f96]) ).
fof(f413,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f412]) ).
fof(f709,plain,
l1_lattices(sk0_0),
inference(resolution,[status(thm)],[f153,f98]) ).
fof(f743,plain,
( spl0_72
<=> m1_subset_1(k5_lattices(sk0_0),u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f744,plain,
( m1_subset_1(k5_lattices(sk0_0),u1_struct_0(sk0_0))
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( v3_struct_0(sk0_0)
| m1_subset_1(k5_lattices(sk0_0),u1_struct_0(sk0_0)) ),
inference(resolution,[status(thm)],[f709,f143]) ).
fof(f747,plain,
( spl0_4
| spl0_72 ),
inference(split_clause,[status(thm)],[f746,f392,f743]) ).
fof(f759,plain,
( spl0_74
<=> v1_xboole_0(u1_struct_0(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f767,plain,
( spl0_76
<=> k6_domain_1(u1_struct_0(sk0_0),k5_lattices(sk0_0)) = k1_tarski(k5_lattices(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( k6_domain_1(u1_struct_0(sk0_0),k5_lattices(sk0_0)) = k1_tarski(k5_lattices(sk0_0))
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,plain,
( v1_xboole_0(u1_struct_0(sk0_0))
| k6_domain_1(u1_struct_0(sk0_0),k5_lattices(sk0_0)) = k1_tarski(k5_lattices(sk0_0))
| ~ spl0_72 ),
inference(resolution,[status(thm)],[f744,f329]) ).
fof(f771,plain,
( spl0_74
| spl0_76
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f770,f759,f767,f743]) ).
fof(f987,plain,
l3_lattices(k1_lattice2(sk0_27)),
inference(resolution,[status(thm)],[f141,f318]) ).
fof(f988,plain,
l3_lattices(k1_lattice2(sk0_26)),
inference(resolution,[status(thm)],[f141,f314]) ).
fof(f990,plain,
l3_lattices(k1_lattice2(sk0_12)),
inference(resolution,[status(thm)],[f141,f258]) ).
fof(f992,plain,
l3_lattices(k1_lattice2(sk0_0)),
inference(resolution,[status(thm)],[f141,f98]) ).
fof(f1036,plain,
l1_lattices(k1_lattice2(sk0_26)),
inference(resolution,[status(thm)],[f988,f153]) ).
fof(f1116,plain,
l1_lattices(k1_lattice2(sk0_12)),
inference(resolution,[status(thm)],[f990,f153]) ).
fof(f1193,plain,
l3_lattices(k1_lattice2(k1_lattice2(sk0_0))),
inference(resolution,[status(thm)],[f992,f141]) ).
fof(f1195,plain,
l2_lattices(k1_lattice2(sk0_0)),
inference(resolution,[status(thm)],[f992,f154]) ).
fof(f1196,plain,
l1_lattices(k1_lattice2(sk0_0)),
inference(resolution,[status(thm)],[f992,f153]) ).
fof(f1197,plain,
( spl0_131
<=> v3_struct_0(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f1198,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ spl0_131 ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( spl0_132
<=> v10_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f1239,plain,
l1_struct_0(k1_lattice2(sk0_26)),
inference(resolution,[status(thm)],[f1036,f149]) ).
fof(f1279,plain,
( ~ m2_filter_2(k1_tarski(k5_lattices(sk0_0)),sk0_0)
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f768,f100]) ).
fof(f1406,plain,
l1_struct_0(k1_lattice2(sk0_0)),
inference(resolution,[status(thm)],[f1196,f149]) ).
fof(f1412,plain,
( spl0_162
<=> l3_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f1414,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| spl0_162 ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1420,plain,
( $false
| spl0_162 ),
inference(forward_subsumption_resolution,[status(thm)],[f1414,f992]) ).
fof(f1421,plain,
spl0_162,
inference(contradiction_clause,[status(thm)],[f1420]) ).
fof(f1423,plain,
l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sk0_0)))),
inference(resolution,[status(thm)],[f1193,f141]) ).
fof(f1485,plain,
l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(sk0_0))))),
inference(resolution,[status(thm)],[f1423,f141]) ).
fof(f1558,plain,
l1_struct_0(k1_lattice2(sk0_12)),
inference(resolution,[status(thm)],[f1116,f149]) ).
fof(f1627,plain,
( spl0_194
<=> m1_subset_1(k6_lattices(k1_lattice2(sk0_0)),u1_struct_0(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f1628,plain,
( m1_subset_1(k6_lattices(k1_lattice2(sk0_0)),u1_struct_0(k1_lattice2(sk0_0)))
| ~ spl0_194 ),
inference(component_clause,[status(thm)],[f1627]) ).
fof(f1630,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| m1_subset_1(k6_lattices(k1_lattice2(sk0_0)),u1_struct_0(k1_lattice2(sk0_0))) ),
inference(resolution,[status(thm)],[f147,f1195]) ).
fof(f1631,plain,
( spl0_131
| spl0_194 ),
inference(split_clause,[status(thm)],[f1630,f1197,f1627]) ).
fof(f1817,plain,
l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(sk0_0)))))),
inference(resolution,[status(thm)],[f1485,f141]) ).
fof(f1925,plain,
( v3_struct_0(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ spl0_131 ),
inference(resolution,[status(thm)],[f203,f1198]) ).
fof(f1926,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f1925,f392,f398,f1197]) ).
fof(f1933,plain,
( m1_subset_1(k5_lattices(sk0_0),u1_struct_0(k1_lattice2(sk0_0)))
| ~ spl0_7
| ~ spl0_194 ),
inference(forward_demodulation,[status(thm)],[f402,f1628]) ).
fof(f2014,plain,
! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sk0_8(X0),X0) ),
inference(resolution,[status(thm)],[f351,f193]) ).
fof(f2019,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f361,f2014]) ).
fof(f2028,plain,
( spl0_238
<=> v1_xboole_0(k1_tarski(k1_xboole_0)) ),
introduced(split_symbol_definition) ).
fof(f2029,plain,
( v1_xboole_0(k1_tarski(k1_xboole_0))
| ~ spl0_238 ),
inference(component_clause,[status(thm)],[f2028]) ).
fof(f2036,plain,
( spl0_240
<=> v1_xboole_0(k1_tarski(k1_tarski(k1_xboole_0))) ),
introduced(split_symbol_definition) ).
fof(f2037,plain,
( v1_xboole_0(k1_tarski(k1_tarski(k1_xboole_0)))
| ~ spl0_240 ),
inference(component_clause,[status(thm)],[f2036]) ).
fof(f2229,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v10_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f252,f98]) ).
fof(f2230,plain,
( spl0_4
| ~ spl0_5
| spl0_132 ),
inference(split_clause,[status(thm)],[f2229,f392,f395,f1200]) ).
fof(f2302,plain,
( spl0_279
<=> m1_filter_0(sk0_5(sk0_0),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f2303,plain,
( m1_filter_0(sk0_5(sk0_0),sk0_0)
| ~ spl0_279 ),
inference(component_clause,[status(thm)],[f2302]) ).
fof(f2305,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| m1_filter_0(sk0_5(sk0_0),sk0_0) ),
inference(resolution,[status(thm)],[f186,f98]) ).
fof(f2306,plain,
( spl0_4
| ~ spl0_5
| spl0_279 ),
inference(split_clause,[status(thm)],[f2305,f392,f395,f2302]) ).
fof(f2407,plain,
( spl0_299
<=> m1_subset_1(sk0_5(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f2408,plain,
( m1_subset_1(sk0_5(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))
| ~ spl0_299 ),
inference(component_clause,[status(thm)],[f2407]) ).
fof(f2410,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| m1_subset_1(sk0_5(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))
| ~ spl0_279 ),
inference(resolution,[status(thm)],[f2303,f157]) ).
fof(f2411,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_299
| ~ spl0_279 ),
inference(split_clause,[status(thm)],[f2410,f392,f395,f398,f2407,f2302]) ).
fof(f2412,plain,
( spl0_300
<=> v1_xboole_0(sk0_5(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f2415,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ v1_xboole_0(sk0_5(sk0_0))
| ~ spl0_279 ),
inference(resolution,[status(thm)],[f2303,f156]) ).
fof(f2416,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_300
| ~ spl0_279 ),
inference(split_clause,[status(thm)],[f2415,f392,f395,f398,f2412,f2302]) ).
fof(f2456,plain,
( spl0_304
<=> v1_xboole_0(u1_struct_0(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f2457,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(sk0_0)))
| ~ spl0_304 ),
inference(component_clause,[status(thm)],[f2456]) ).
fof(f2469,plain,
( spl0_307
<=> k6_domain_1(u1_struct_0(k1_lattice2(sk0_0)),k5_lattices(sk0_0)) = k1_tarski(k5_lattices(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f2470,plain,
( k6_domain_1(u1_struct_0(k1_lattice2(sk0_0)),k5_lattices(sk0_0)) = k1_tarski(k5_lattices(sk0_0))
| ~ spl0_307 ),
inference(component_clause,[status(thm)],[f2469]) ).
fof(f2472,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(sk0_0)))
| k6_domain_1(u1_struct_0(k1_lattice2(sk0_0)),k5_lattices(sk0_0)) = k1_tarski(k5_lattices(sk0_0))
| ~ spl0_7
| ~ spl0_194 ),
inference(resolution,[status(thm)],[f1933,f329]) ).
fof(f2473,plain,
( spl0_304
| spl0_307
| ~ spl0_7
| ~ spl0_194 ),
inference(split_clause,[status(thm)],[f2472,f2456,f2469,f401,f1627]) ).
fof(f2474,plain,
( spl0_308
<=> l1_struct_0(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f2476,plain,
( ~ l1_struct_0(k1_lattice2(sk0_0))
| spl0_308 ),
inference(component_clause,[status(thm)],[f2474]) ).
fof(f2477,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ l1_struct_0(k1_lattice2(sk0_0))
| ~ spl0_304 ),
inference(resolution,[status(thm)],[f2457,f206]) ).
fof(f2478,plain,
( spl0_131
| ~ spl0_308
| ~ spl0_304 ),
inference(split_clause,[status(thm)],[f2477,f1197,f2474,f2456]) ).
fof(f2494,plain,
( $false
| spl0_308 ),
inference(forward_subsumption_resolution,[status(thm)],[f2476,f1406]) ).
fof(f2495,plain,
spl0_308,
inference(contradiction_clause,[status(thm)],[f2494]) ).
fof(f2528,plain,
( spl0_316
<=> l1_struct_0(k1_lattice2(sk0_12)) ),
introduced(split_symbol_definition) ).
fof(f2530,plain,
( ~ l1_struct_0(k1_lattice2(sk0_12))
| spl0_316 ),
inference(component_clause,[status(thm)],[f2528]) ).
fof(f2547,plain,
( $false
| spl0_316 ),
inference(forward_subsumption_resolution,[status(thm)],[f2530,f1558]) ).
fof(f2548,plain,
spl0_316,
inference(contradiction_clause,[status(thm)],[f2547]) ).
fof(f2550,plain,
( ~ v1_xboole_0(u1_struct_0(sk0_0))
| v1_xboole_0(sk0_5(sk0_0))
| ~ spl0_299 ),
inference(resolution,[status(thm)],[f2408,f2019]) ).
fof(f2551,plain,
( ~ spl0_74
| spl0_300
| ~ spl0_299 ),
inference(split_clause,[status(thm)],[f2550,f759,f2412,f2407]) ).
fof(f2606,plain,
( spl0_324
<=> l1_struct_0(k1_lattice2(sk0_26)) ),
introduced(split_symbol_definition) ).
fof(f2608,plain,
( ~ l1_struct_0(k1_lattice2(sk0_26))
| spl0_324 ),
inference(component_clause,[status(thm)],[f2606]) ).
fof(f2625,plain,
( $false
| spl0_324 ),
inference(forward_subsumption_resolution,[status(thm)],[f2608,f1239]) ).
fof(f2626,plain,
spl0_324,
inference(contradiction_clause,[status(thm)],[f2625]) ).
fof(f2647,plain,
l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(sk0_0))))))),
inference(resolution,[status(thm)],[f1817,f141]) ).
fof(f2681,plain,
( spl0_335
<=> l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(sk0_0)))))) ),
introduced(split_symbol_definition) ).
fof(f2683,plain,
( ~ l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(sk0_0))))))
| spl0_335 ),
inference(component_clause,[status(thm)],[f2681]) ).
fof(f2689,plain,
( $false
| spl0_335 ),
inference(forward_subsumption_resolution,[status(thm)],[f2683,f1817]) ).
fof(f2690,plain,
spl0_335,
inference(contradiction_clause,[status(thm)],[f2689]) ).
fof(f2778,plain,
( spl0_349
<=> v3_struct_0(sk0_24) ),
introduced(split_symbol_definition) ).
fof(f2779,plain,
( v3_struct_0(sk0_24)
| ~ spl0_349 ),
inference(component_clause,[status(thm)],[f2778]) ).
fof(f2794,plain,
( $false
| ~ spl0_349 ),
inference(forward_subsumption_resolution,[status(thm)],[f2779,f308]) ).
fof(f2795,plain,
~ spl0_349,
inference(contradiction_clause,[status(thm)],[f2794]) ).
fof(f3077,plain,
( $false
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[status(thm)],[f2037,f215]) ).
fof(f3078,plain,
~ spl0_240,
inference(contradiction_clause,[status(thm)],[f3077]) ).
fof(f3079,plain,
( $false
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f215]) ).
fof(f3080,plain,
~ spl0_238,
inference(contradiction_clause,[status(thm)],[f3079]) ).
fof(f3161,plain,
( spl0_421
<=> v14_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3162,plain,
( v14_lattices(k1_lattice2(sk0_0))
| ~ spl0_421 ),
inference(component_clause,[status(thm)],[f3161]) ).
fof(f3164,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| v14_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f364,f99]) ).
fof(f3165,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_421 ),
inference(split_clause,[status(thm)],[f3164,f392,f395,f398,f3161]) ).
fof(f3233,plain,
( spl0_429
<=> l3_lattices(k1_lattice2(sk0_12)) ),
introduced(split_symbol_definition) ).
fof(f3235,plain,
( ~ l3_lattices(k1_lattice2(sk0_12))
| spl0_429 ),
inference(component_clause,[status(thm)],[f3233]) ).
fof(f3404,plain,
( $false
| spl0_429 ),
inference(forward_subsumption_resolution,[status(thm)],[f3235,f990]) ).
fof(f3405,plain,
spl0_429,
inference(contradiction_clause,[status(thm)],[f3404]) ).
fof(f3408,plain,
( spl0_461
<=> l3_lattices(k1_lattice2(sk0_27)) ),
introduced(split_symbol_definition) ).
fof(f3410,plain,
( ~ l3_lattices(k1_lattice2(sk0_27))
| spl0_461 ),
inference(component_clause,[status(thm)],[f3408]) ).
fof(f3418,plain,
( $false
| spl0_461 ),
inference(forward_subsumption_resolution,[status(thm)],[f3410,f987]) ).
fof(f3419,plain,
spl0_461,
inference(contradiction_clause,[status(thm)],[f3418]) ).
fof(f3609,plain,
( spl0_498
<=> l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(sk0_0))))))) ),
introduced(split_symbol_definition) ).
fof(f3611,plain,
( ~ l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(sk0_0)))))))
| spl0_498 ),
inference(component_clause,[status(thm)],[f3609]) ).
fof(f3617,plain,
( $false
| spl0_498 ),
inference(forward_subsumption_resolution,[status(thm)],[f3611,f2647]) ).
fof(f3618,plain,
spl0_498,
inference(contradiction_clause,[status(thm)],[f3617]) ).
fof(f3846,plain,
( spl0_511
<=> m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sk0_0)),k6_lattices(k1_lattice2(sk0_0))),k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3847,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sk0_0)),k6_lattices(k1_lattice2(sk0_0))),k1_lattice2(sk0_0))
| ~ spl0_511 ),
inference(component_clause,[status(thm)],[f3846]) ).
fof(f3849,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ l3_lattices(k1_lattice2(sk0_0))
| m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sk0_0)),k6_lattices(k1_lattice2(sk0_0))),k1_lattice2(sk0_0))
| ~ spl0_421 ),
inference(resolution,[status(thm)],[f377,f3162]) ).
fof(f3850,plain,
( spl0_131
| ~ spl0_132
| ~ spl0_162
| spl0_511
| ~ spl0_421 ),
inference(split_clause,[status(thm)],[f3849,f1197,f1200,f1412,f3846,f3161]) ).
fof(f3851,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sk0_0)),k5_lattices(sk0_0)),k1_lattice2(sk0_0))
| ~ spl0_7
| ~ spl0_511 ),
inference(forward_demodulation,[status(thm)],[f402,f3847]) ).
fof(f3852,plain,
( m1_filter_0(k1_tarski(k5_lattices(sk0_0)),k1_lattice2(sk0_0))
| ~ spl0_307
| ~ spl0_7
| ~ spl0_511 ),
inference(forward_demodulation,[status(thm)],[f2470,f3851]) ).
fof(f4012,plain,
( spl0_531
<=> m1_filter_2(k1_tarski(k5_lattices(sk0_0)),k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4013,plain,
( m1_filter_2(k1_tarski(k5_lattices(sk0_0)),k1_lattice2(sk0_0))
| ~ spl0_531 ),
inference(component_clause,[status(thm)],[f4012]) ).
fof(f4015,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ l3_lattices(k1_lattice2(sk0_0))
| m1_filter_2(k1_tarski(k5_lattices(sk0_0)),k1_lattice2(sk0_0))
| ~ spl0_307
| ~ spl0_7
| ~ spl0_511 ),
inference(resolution,[status(thm)],[f3852,f334]) ).
fof(f4016,plain,
( spl0_131
| ~ spl0_132
| ~ spl0_162
| spl0_531
| ~ spl0_307
| ~ spl0_7
| ~ spl0_511 ),
inference(split_clause,[status(thm)],[f4015,f1197,f1200,f1412,f4012,f2469,f401,f3846]) ).
fof(f4074,plain,
( spl0_543
<=> m2_filter_2(k1_tarski(k5_lattices(sk0_0)),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f4075,plain,
( m2_filter_2(k1_tarski(k5_lattices(sk0_0)),sk0_0)
| ~ spl0_543 ),
inference(component_clause,[status(thm)],[f4074]) ).
fof(f4077,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| m2_filter_2(k1_tarski(k5_lattices(sk0_0)),sk0_0)
| ~ spl0_531 ),
inference(resolution,[status(thm)],[f4013,f349]) ).
fof(f4078,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_543
| ~ spl0_531 ),
inference(split_clause,[status(thm)],[f4077,f392,f395,f398,f4074,f4012]) ).
fof(f4086,plain,
( $false
| ~ spl0_76
| ~ spl0_543 ),
inference(forward_subsumption_resolution,[status(thm)],[f4075,f1279]) ).
fof(f4087,plain,
( ~ spl0_76
| ~ spl0_543 ),
inference(contradiction_clause,[status(thm)],[f4086]) ).
fof(f4088,plain,
$false,
inference(sat_refutation,[status(thm)],[f405,f407,f409,f413,f747,f771,f1421,f1631,f1926,f2230,f2306,f2411,f2416,f2473,f2478,f2495,f2548,f2551,f2626,f2690,f2795,f3078,f3080,f3165,f3405,f3419,f3618,f3850,f4016,f4078,f4087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT302+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n024.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 19:54:36 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 2.74/0.70 % Refutation found
% 2.74/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.74/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.74/0.74 % Elapsed time: 0.418362 seconds
% 2.74/0.74 % CPU time: 3.134953 seconds
% 2.74/0.74 % Total memory used: 142.811 MB
% 2.74/0.74 % Net memory used: 140.341 MB
%------------------------------------------------------------------------------