%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : 600s
% DateTime : Sun Jul 17 06:02:20 EDT 2022
% Result : Theorem 63.07s 63.29s
% Output : CNFRefutation 63.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 18
% Syntax : Number of formulae : 151 ( 26 unt; 0 def)
% Number of atoms : 621 ( 45 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 760 ( 290 ~; 345 |; 95 &)
% ( 6 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn 85 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t25_filter_2,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( v13_lattices(A)
=> r2_hidden(k5_lattices(A),B) ) ) ) ).
fof(d6_filter_2,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> k7_filter_2(A,B) = B ) ) ).
fof(dt_k15_filter_2,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m2_filter_2(B,A) )
=> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)) ) ).
fof(dt_k1_lattice2,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ).
fof(dt_m2_filter_2,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( ~ v1_xboole_0(B)
& m2_lattice4(B,A) ) ) ) ).
fof(dt_m2_lattice4,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_lattice4(B,A)
=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc1_lattice2,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ) ).
fof(fc6_lattice2,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)) ) ) ).
fof(redefinition_k15_filter_2,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m2_filter_2(B,A) )
=> k15_filter_2(A,B) = k7_filter_2(A,B) ) ).
fof(redefinition_m1_filter_2,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_filter_2(B,A)
<=> m1_filter_0(B,A) ) ) ).
fof(t12_filter_0,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_filter_0(B,A)
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v14_lattices(A)
& l3_lattices(A) )
=> r2_hidden(k6_lattices(A),B) ) ) ) ).
fof(t63_lattice2,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( v13_lattices(A)
<=> v14_lattices(k1_lattice2(A)) ) ) ).
fof(t78_lattice2,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v13_lattices(A)
& l3_lattices(A) )
=> k5_lattices(A) = k6_lattices(k1_lattice2(A)) ) ).
fof(subgoal_0,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( m2_filter_2(B,A)
& v13_lattices(A) )
=> r2_hidden(k5_lattices(A),B) ) ),
inference(strip,[],[t25_filter_2]) ).
fof(negate_0_0,plain,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( m2_filter_2(B,A)
& v13_lattices(A) )
=> r2_hidden(k5_lattices(A),B) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A] :
( ~ l3_lattices(A)
| v3_struct_0(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
inference(canonicalize,[],[fc1_lattice2]) ).
fof(normalize_0_1,plain,
! [A] :
( ~ l3_lattices(A)
| v3_struct_0(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A] :
( ( ~ l3_lattices(A)
| ~ v3_struct_0(k1_lattice2(A))
| v3_struct_0(A) )
& ( ~ l3_lattices(A)
| v3_lattices(k1_lattice2(A))
| v3_struct_0(A) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v3_struct_0(k1_lattice2(A))
| v3_struct_0(A) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ m1_filter_0(B,A)
<=> ~ m1_filter_2(B,A) ) ),
inference(canonicalize,[],[redefinition_m1_filter_2]) ).
fof(normalize_0_5,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ m1_filter_0(B,A)
<=> ~ m1_filter_2(B,A) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B] :
( ( ~ l3_lattices(A)
| ~ m1_filter_0(B,A)
| ~ v10_lattices(A)
| m1_filter_2(B,A)
| v3_struct_0(A) )
& ( ~ l3_lattices(A)
| ~ m1_filter_2(B,A)
| ~ v10_lattices(A)
| m1_filter_0(B,A)
| v3_struct_0(A) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B] :
( ~ l3_lattices(A)
| ~ m1_filter_2(B,A)
| ~ v10_lattices(A)
| m1_filter_0(B,A)
| v3_struct_0(A) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
? [A] :
( ~ v3_struct_0(A)
& l3_lattices(A)
& v10_lattices(A)
& ? [B] :
( ~ r2_hidden(k5_lattices(A),B)
& m2_filter_2(B,A)
& v13_lattices(A) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_9,plain,
( ~ v3_struct_0(skolemFOFtoCNF_A_14)
& l3_lattices(skolemFOFtoCNF_A_14)
& v10_lattices(skolemFOFtoCNF_A_14)
& ? [B] :
( ~ r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),B)
& m2_filter_2(B,skolemFOFtoCNF_A_14)
& v13_lattices(skolemFOFtoCNF_A_14) ) ),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
? [B] :
( ~ r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),B)
& m2_filter_2(B,skolemFOFtoCNF_A_14)
& v13_lattices(skolemFOFtoCNF_A_14) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
( ~ r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9)
& m2_filter_2(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14)
& v13_lattices(skolemFOFtoCNF_A_14) ),
inference(skolemize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
m2_filter_2(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B] :
( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| m1_filter_2(k15_filter_2(A,B),k1_lattice2(A))
| v3_struct_0(A) ),
inference(canonicalize,[],[dt_k15_filter_2]) ).
fof(normalize_0_14,plain,
! [A,B] :
( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| m1_filter_2(k15_filter_2(A,B),k1_lattice2(A))
| v3_struct_0(A) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
l3_lattices(skolemFOFtoCNF_A_14),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_16,plain,
v10_lattices(skolemFOFtoCNF_A_14),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_17,plain,
~ v3_struct_0(skolemFOFtoCNF_A_14),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_18,plain,
! [A] :
( ~ l3_lattices(A)
| ( l3_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
inference(canonicalize,[],[dt_k1_lattice2]) ).
fof(normalize_0_19,plain,
! [A] :
( ~ l3_lattices(A)
| ( l3_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A] :
( ( ~ l3_lattices(A)
| l3_lattices(k1_lattice2(A)) )
& ( ~ l3_lattices(A)
| v3_lattices(k1_lattice2(A)) ) ),
inference(clausify,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A] :
( ~ l3_lattices(A)
| l3_lattices(k1_lattice2(A)) ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(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)) ) ),
inference(canonicalize,[],[fc6_lattice2]) ).
fof(normalize_0_23,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(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)) ) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A] :
( ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| ~ v3_struct_0(k1_lattice2(A))
| v3_struct_0(A) )
& ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v10_lattices(k1_lattice2(A))
| v3_struct_0(A) )
& ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_lattices(k1_lattice2(A))
| v3_struct_0(A) )
& ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| v4_lattices(k1_lattice2(A)) )
& ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| v5_lattices(k1_lattice2(A)) )
& ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| v6_lattices(k1_lattice2(A)) )
& ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| v7_lattices(k1_lattice2(A)) )
& ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| v8_lattices(k1_lattice2(A)) )
& ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| v9_lattices(k1_lattice2(A)) ) ),
inference(clausify,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v10_lattices(k1_lattice2(A))
| v3_struct_0(A) ),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B] :
( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| k15_filter_2(A,B) = k7_filter_2(A,B)
| v3_struct_0(A) ),
inference(canonicalize,[],[redefinition_k15_filter_2]) ).
fof(normalize_0_27,plain,
! [A,B] :
( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| k15_filter_2(A,B) = k7_filter_2(A,B)
| v3_struct_0(A) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| k7_filter_2(A,B) = B ) ),
inference(canonicalize,[],[d6_filter_2]) ).
fof(normalize_0_29,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| k7_filter_2(A,B) = B ) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B] :
( ~ l3_lattices(A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v10_lattices(A)
| k7_filter_2(A,B) = B
| v3_struct_0(A) ),
inference(clausify,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ m2_filter_2(B,A)
| ( ~ v1_xboole_0(B)
& m2_lattice4(B,A) ) ) ),
inference(canonicalize,[],[dt_m2_filter_2]) ).
fof(normalize_0_32,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ m2_filter_2(B,A)
| ( ~ v1_xboole_0(B)
& m2_lattice4(B,A) ) ) ),
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [A,B] :
( ( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| ~ v1_xboole_0(B)
| v3_struct_0(A) )
& ( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| m2_lattice4(B,A)
| v3_struct_0(A) ) ),
inference(clausify,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B] :
( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| m2_lattice4(B,A)
| v3_struct_0(A) ),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ m2_lattice4(B,A)
| m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
inference(canonicalize,[],[dt_m2_lattice4]) ).
fof(normalize_0_36,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ m2_lattice4(B,A)
| m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [A,B] :
( ~ l3_lattices(A)
| ~ m2_lattice4(B,A)
| ~ v10_lattices(A)
| m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| v3_struct_0(A) ),
inference(clausify,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ l3_lattices(A)
| ~ m1_filter_0(B,A)
| ~ v10_lattices(A)
| ~ v14_lattices(A)
| r2_hidden(k6_lattices(A),B)
| v3_struct_0(A) ) ),
inference(canonicalize,[],[t12_filter_0]) ).
fof(normalize_0_39,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ! [B] :
( ~ l3_lattices(A)
| ~ m1_filter_0(B,A)
| ~ v10_lattices(A)
| ~ v14_lattices(A)
| r2_hidden(k6_lattices(A),B)
| v3_struct_0(A) ) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B] :
( ~ l3_lattices(A)
| ~ m1_filter_0(B,A)
| ~ v10_lattices(A)
| ~ v14_lattices(A)
| r2_hidden(k6_lattices(A),B)
| v3_struct_0(A) ),
inference(clausify,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
v13_lattices(skolemFOFtoCNF_A_14),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_42,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| ~ v13_lattices(A)
| k5_lattices(A) = k6_lattices(k1_lattice2(A))
| v3_struct_0(A) ),
inference(canonicalize,[],[t78_lattice2]) ).
fof(normalize_0_43,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| ~ v13_lattices(A)
| k5_lattices(A) = k6_lattices(k1_lattice2(A))
| v3_struct_0(A) ),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ( ~ v13_lattices(A)
<=> ~ v14_lattices(k1_lattice2(A)) ) ),
inference(canonicalize,[],[t63_lattice2]) ).
fof(normalize_0_45,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ( ~ v13_lattices(A)
<=> ~ v14_lattices(k1_lattice2(A)) ) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [A] :
( ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| ~ v13_lattices(A)
| v14_lattices(k1_lattice2(A))
| v3_struct_0(A) )
& ( ~ l3_lattices(A)
| ~ v10_lattices(A)
| ~ v14_lattices(k1_lattice2(A))
| v13_lattices(A)
| v3_struct_0(A) ) ),
inference(clausify,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| ~ v13_lattices(A)
| v14_lattices(k1_lattice2(A))
| v3_struct_0(A) ),
inference(conjunct,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
~ r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9),
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
( ~ l3_lattices(A)
| ~ v3_struct_0(k1_lattice2(A))
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_A_14))]]) ).
cnf(refute_0_2,plain,
( ~ l3_lattices(A)
| ~ m1_filter_2(B,A)
| ~ v10_lattices(A)
| m1_filter_0(B,A)
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ l3_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| ~ m1_filter_2(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| ~ v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| m1_filter_0(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(k1_lattice2(skolemFOFtoCNF_A_14))),bind(B,$fot(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9)))]]) ).
cnf(refute_0_4,plain,
m2_filter_2(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_5,plain,
( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| m1_filter_2(k15_filter_2(A,B),k1_lattice2(A))
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_6,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ m2_filter_2(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| m1_filter_2(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A_14)),bind(B,$fot(skolemFOFtoCNF_B_9))]]) ).
cnf(refute_0_7,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| m1_filter_2(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( m2_filter_2(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
l3_lattices(skolemFOFtoCNF_A_14),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_9,plain,
( ~ v10_lattices(skolemFOFtoCNF_A_14)
| m1_filter_2(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
v10_lattices(skolemFOFtoCNF_A_14),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_11,plain,
( m1_filter_2(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_14) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
~ v3_struct_0(skolemFOFtoCNF_A_14),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_13,plain,
m1_filter_2(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14)),
inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_14) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ l3_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| ~ v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| m1_filter_0(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( m1_filter_2(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14)) )],[refute_0_13,refute_0_3]) ).
cnf(refute_0_15,plain,
( ~ l3_lattices(A)
| l3_lattices(k1_lattice2(A)) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_16,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| l3_lattices(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_A_14))]]) ).
cnf(refute_0_17,plain,
l3_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| m1_filter_0(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( l3_lattices(k1_lattice2(skolemFOFtoCNF_A_14)) )],[refute_0_17,refute_0_14]) ).
cnf(refute_0_19,plain,
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| v10_lattices(k1_lattice2(A))
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_20,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_A_14))]]) ).
cnf(refute_0_21,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_14) )],[refute_0_10,refute_0_20]) ).
cnf(refute_0_22,plain,
( v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_21]) ).
cnf(refute_0_23,plain,
v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),
inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_14) )],[refute_0_22,refute_0_12]) ).
cnf(refute_0_24,plain,
( m1_filter_0(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14)) )],[refute_0_23,refute_0_18]) ).
cnf(refute_0_25,plain,
( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| k15_filter_2(A,B) = k7_filter_2(A,B)
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_26,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ m2_filter_2(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9)
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(skolemFOFtoCNF_A_14)),bind(B,$fot(skolemFOFtoCNF_B_9))]]) ).
cnf(refute_0_27,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9)
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( m2_filter_2(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14) )],[refute_0_4,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ l3_lattices(A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v10_lattices(A)
| k7_filter_2(A,B) = B
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_29,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ m1_subset_1(skolemFOFtoCNF_B_9,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_14)))
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_A_14)),bind(B,$fot(skolemFOFtoCNF_B_9))]]) ).
cnf(refute_0_30,plain,
( ~ l3_lattices(A)
| ~ m2_filter_2(B,A)
| ~ v10_lattices(A)
| m2_lattice4(B,A)
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_31,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ m2_filter_2(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| m2_lattice4(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14)
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_A_14)),bind(B,$fot(skolemFOFtoCNF_B_9))]]) ).
cnf(refute_0_32,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| m2_lattice4(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14)
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( m2_filter_2(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14) )],[refute_0_4,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ v10_lattices(skolemFOFtoCNF_A_14)
| m2_lattice4(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14)
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_32]) ).
cnf(refute_0_34,plain,
( m2_lattice4(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14)
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_14) )],[refute_0_10,refute_0_33]) ).
cnf(refute_0_35,plain,
m2_lattice4(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14),
inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_14) )],[refute_0_34,refute_0_12]) ).
cnf(refute_0_36,plain,
( ~ l3_lattices(A)
| ~ m2_lattice4(B,A)
| ~ v10_lattices(A)
| m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_37,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ m2_lattice4(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| m1_subset_1(skolemFOFtoCNF_B_9,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_14)))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_A_14)),bind(B,$fot(skolemFOFtoCNF_B_9))]]) ).
cnf(refute_0_38,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| m1_subset_1(skolemFOFtoCNF_B_9,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_14)))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( m2_lattice4(skolemFOFtoCNF_B_9,skolemFOFtoCNF_A_14) )],[refute_0_35,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ v10_lattices(skolemFOFtoCNF_A_14)
| m1_subset_1(skolemFOFtoCNF_B_9,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_14)))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_38]) ).
cnf(refute_0_40,plain,
( m1_subset_1(skolemFOFtoCNF_B_9,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_14)))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_14) )],[refute_0_10,refute_0_39]) ).
cnf(refute_0_41,plain,
m1_subset_1(skolemFOFtoCNF_B_9,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_14))),
inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_14) )],[refute_0_40,refute_0_12]) ).
cnf(refute_0_42,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( m1_subset_1(skolemFOFtoCNF_B_9,k1_zfmisc_1(u1_struct_0(skolemFOFtoCNF_A_14))) )],[refute_0_41,refute_0_29]) ).
cnf(refute_0_43,plain,
( ~ v10_lattices(skolemFOFtoCNF_A_14)
| k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_42]) ).
cnf(refute_0_44,plain,
( k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_14) )],[refute_0_10,refute_0_43]) ).
cnf(refute_0_45,plain,
k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9,
inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_14) )],[refute_0_44,refute_0_12]) ).
cnf(refute_0_46,plain,
( k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) != k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9)
| k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) != skolemFOFtoCNF_B_9
| k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9 ),
introduced(tautology,[equality,[$cnf( ~ $equal(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),skolemFOFtoCNF_B_9) ),[0],$fot(k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9))]]) ).
cnf(refute_0_47,plain,
( k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) != k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9)
| k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9 ),
inference(resolve,[$cnf( $equal(k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),skolemFOFtoCNF_B_9) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( $equal(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k7_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9)) )],[refute_0_27,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ v10_lattices(skolemFOFtoCNF_A_14)
| k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_48]) ).
cnf(refute_0_50,plain,
( k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_14) )],[refute_0_10,refute_0_49]) ).
cnf(refute_0_51,plain,
k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) = skolemFOFtoCNF_B_9,
inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_14) )],[refute_0_50,refute_0_12]) ).
cnf(refute_0_52,plain,
( k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9) != skolemFOFtoCNF_B_9
| ~ m1_filter_0(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| m1_filter_0(skolemFOFtoCNF_B_9,k1_lattice2(skolemFOFtoCNF_A_14)) ),
introduced(tautology,[equality,[$cnf( m1_filter_0(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14)) ),[0],$fot(skolemFOFtoCNF_B_9)]]) ).
cnf(refute_0_53,plain,
( ~ m1_filter_0(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14))
| m1_filter_0(skolemFOFtoCNF_B_9,k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( $equal(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),skolemFOFtoCNF_B_9) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( m1_filter_0(skolemFOFtoCNF_B_9,k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( m1_filter_0(k15_filter_2(skolemFOFtoCNF_A_14,skolemFOFtoCNF_B_9),k1_lattice2(skolemFOFtoCNF_A_14)) )],[refute_0_24,refute_0_53]) ).
cnf(refute_0_55,plain,
( ~ l3_lattices(A)
| ~ m1_filter_0(B,A)
| ~ v10_lattices(A)
| ~ v14_lattices(A)
| r2_hidden(k6_lattices(A),B)
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_56,plain,
( ~ l3_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| ~ m1_filter_0(skolemFOFtoCNF_B_9,k1_lattice2(skolemFOFtoCNF_A_14))
| ~ v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| ~ v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| r2_hidden(k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),skolemFOFtoCNF_B_9)
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(k1_lattice2(skolemFOFtoCNF_A_14))),bind(B,$fot(skolemFOFtoCNF_B_9))]]) ).
cnf(refute_0_57,plain,
( ~ l3_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| ~ v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| ~ v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| r2_hidden(k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),skolemFOFtoCNF_B_9)
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( m1_filter_0(skolemFOFtoCNF_B_9,k1_lattice2(skolemFOFtoCNF_A_14)) )],[refute_0_54,refute_0_56]) ).
cnf(refute_0_58,plain,
v13_lattices(skolemFOFtoCNF_A_14),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_59,plain,
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| ~ v13_lattices(A)
| k5_lattices(A) = k6_lattices(k1_lattice2(A))
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_60,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| ~ v13_lattices(skolemFOFtoCNF_A_14)
| k5_lattices(skolemFOFtoCNF_A_14) = k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_59:[bind(A,$fot(skolemFOFtoCNF_A_14))]]) ).
cnf(refute_0_61,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| k5_lattices(skolemFOFtoCNF_A_14) = k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v13_lattices(skolemFOFtoCNF_A_14) )],[refute_0_58,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ v10_lattices(skolemFOFtoCNF_A_14)
| k5_lattices(skolemFOFtoCNF_A_14) = k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_61]) ).
cnf(refute_0_63,plain,
( k5_lattices(skolemFOFtoCNF_A_14) = k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_14) )],[refute_0_10,refute_0_62]) ).
cnf(refute_0_64,plain,
k5_lattices(skolemFOFtoCNF_A_14) = k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),
inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_14) )],[refute_0_63,refute_0_12]) ).
cnf(refute_0_65,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_66,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_67,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( k5_lattices(skolemFOFtoCNF_A_14) != k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)) = k5_lattices(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_67:[bind(X,$fot(k5_lattices(skolemFOFtoCNF_A_14))),bind(Y,$fot(k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14))))]]) ).
cnf(refute_0_69,plain,
k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)) = k5_lattices(skolemFOFtoCNF_A_14),
inference(resolve,[$cnf( $equal(k5_lattices(skolemFOFtoCNF_A_14),k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14))) )],[refute_0_64,refute_0_68]) ).
cnf(refute_0_70,plain,
( k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)) != k5_lattices(skolemFOFtoCNF_A_14)
| ~ r2_hidden(k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),skolemFOFtoCNF_B_9)
| r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9) ),
introduced(tautology,[equality,[$cnf( r2_hidden(k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),skolemFOFtoCNF_B_9) ),[0],$fot(k5_lattices(skolemFOFtoCNF_A_14))]]) ).
cnf(refute_0_71,plain,
( ~ r2_hidden(k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),skolemFOFtoCNF_B_9)
| r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9) ),
inference(resolve,[$cnf( $equal(k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),k5_lattices(skolemFOFtoCNF_A_14)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ l3_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| ~ v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| ~ v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9)
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( r2_hidden(k6_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),skolemFOFtoCNF_B_9) )],[refute_0_57,refute_0_71]) ).
cnf(refute_0_73,plain,
( ~ v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| ~ v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9)
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( l3_lattices(k1_lattice2(skolemFOFtoCNF_A_14)) )],[refute_0_17,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9)
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( v10_lattices(k1_lattice2(skolemFOFtoCNF_A_14)) )],[refute_0_23,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ l3_lattices(A)
| ~ v10_lattices(A)
| ~ v13_lattices(A)
| v14_lattices(k1_lattice2(A))
| v3_struct_0(A) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_76,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| ~ v13_lattices(skolemFOFtoCNF_A_14)
| v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(skolemFOFtoCNF_A_14))]]) ).
cnf(refute_0_77,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| ~ v10_lattices(skolemFOFtoCNF_A_14)
| v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v13_lattices(skolemFOFtoCNF_A_14) )],[refute_0_58,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ v10_lattices(skolemFOFtoCNF_A_14)
| v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_77]) ).
cnf(refute_0_79,plain,
( v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14))
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v10_lattices(skolemFOFtoCNF_A_14) )],[refute_0_10,refute_0_78]) ).
cnf(refute_0_80,plain,
v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14)),
inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_14) )],[refute_0_79,refute_0_12]) ).
cnf(refute_0_81,plain,
( r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9)
| v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) ),
inference(resolve,[$cnf( v14_lattices(k1_lattice2(skolemFOFtoCNF_A_14)) )],[refute_0_80,refute_0_74]) ).
cnf(refute_0_82,plain,
~ r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_83,plain,
v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)),
inference(resolve,[$cnf( r2_hidden(k5_lattices(skolemFOFtoCNF_A_14),skolemFOFtoCNF_B_9) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ l3_lattices(skolemFOFtoCNF_A_14)
| v3_struct_0(skolemFOFtoCNF_A_14) ),
inference(resolve,[$cnf( v3_struct_0(k1_lattice2(skolemFOFtoCNF_A_14)) )],[refute_0_83,refute_0_1]) ).
cnf(refute_0_85,plain,
v3_struct_0(skolemFOFtoCNF_A_14),
inference(resolve,[$cnf( l3_lattices(skolemFOFtoCNF_A_14) )],[refute_0_8,refute_0_84]) ).
cnf(refute_0_86,plain,
$false,
inference(resolve,[$cnf( v3_struct_0(skolemFOFtoCNF_A_14) )],[refute_0_85,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 30 06:31:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 63.07/63.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.07/63.29
% 63.07/63.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 63.07/63.30
%------------------------------------------------------------------------------