%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:50:04 AM UTC 2026
% Result : Theorem 21.62s 3.52s
% Output : CNFRefutation 21.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 10
% Syntax : Number of formulae : 143 ( 36 unt; 0 def)
% Number of atoms : 720 ( 126 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 1027 ( 450 ~; 472 |; 71 &)
% ( 2 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 155 ( 6 sgn 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc5_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v17_lattices(A)
& ~ v3_struct_0(A) )
=> ( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc5_lattices) ).
fof(d21_lattices,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( ( l3_lattices(A)
& v16_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( C = k7_lattices(A,B)
<=> r2_lattices(A,C,B) ) ) ) ) ),
file('theBenchmark.p',d21_lattices) ).
fof(dt_k7_lattices,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l3_lattices(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)) ),
file('theBenchmark.p',dt_k7_lattices) ).
fof(dt_l3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( l2_lattices(A)
& l1_lattices(A) ) ),
file('theBenchmark.p',dt_l3_lattices) ).
fof(dt_u1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> ( m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A)) ) ),
file('theBenchmark.p',dt_u1_lattices) ).
fof(dt_u2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> ( m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A)) ) ),
file('theBenchmark.p',dt_u2_lattices) ).
fof(free_g3_lattices,axiom,
! [A,B,C] :
( ( m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ! [D,E,F] :
( g3_lattices(A,B,C) = g3_lattices(D,E,F)
=> ( C = F
& B = E
& A = D ) ) ),
file('theBenchmark.p',free_g3_lattices) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('theBenchmark.p',redefinition_m2_relset_1) ).
fof(t11_filter_2,axiom,
! [A] :
( ( l3_lattices(A)
& v16_lattices(A)
& v15_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_lattices(B)
& v16_lattices(B)
& v15_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( ( r2_lattices(A,C,D)
& D = F
& C = E )
=> r2_lattices(B,E,F) ) ) ) ) ) ) ) ),
file('theBenchmark.p',t11_filter_2) ).
fof(t12_filter_2,conjecture,
! [A] :
( ( l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_lattices(B)
& v17_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( C = D
=> k7_lattices(A,C) = k7_lattices(B,D) ) ) ) ) ) ),
file('theBenchmark.p',t12_filter_2) ).
fof(t12_filter_2_neg,negated_conjecture,
~ ! [A] :
( ( l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_lattices(B)
& v17_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( C = D
=> k7_lattices(A,C) = k7_lattices(B,D) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t12_filter_2]) ).
cnf(c_74,plain,
( v16_lattices(A)
| ~ v17_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(clausify,[status(thm)],[cc5_lattices]) ).
cnf(c_75,plain,
( v15_lattices(A)
| ~ v17_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(clausify,[status(thm)],[cc5_lattices]) ).
cnf(c_78,plain,
( v11_lattices(A)
| ~ v17_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(clausify,[status(thm)],[cc5_lattices]) ).
fof(nnf_72,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( k7_lattices(B,D) != k7_lattices(A,C)
& D = C
& m1_subset_1(D,u1_struct_0(B)) )
& m1_subset_1(C,u1_struct_0(A)) )
& g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
& l3_lattices(B)
& v17_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
& l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t12_filter_2_neg]) ).
fof(sk_t12_filter_2_neg,plain,
( k7_lattices(sK1,sK2) != k7_lattices(sK0,sK3)
& sK2 = sK3
& m1_subset_1(sK2,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) = g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
& l3_lattices(sK1)
& v17_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1)
& l3_lattices(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK3,sK2]),skolemize(A,sK0),skolemize(B,sK1),skolemize(C,sK3),skolemize(D,sK2)],[nnf_72]) ).
cnf(c_80,negated_conjecture,
v17_lattices(sK0),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_81,negated_conjecture,
v17_lattices(sK1),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_184,negated_conjecture,
( v11_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_81,c_78]) ).
cnf(c_193,negated_conjecture,
( v11_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(resolve,[status(thm)],[c_80,c_78]) ).
cnf(c_198,plain,
( ~ r2_lattices(A,C,B)
| k7_lattices(A,B) = C
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ v16_lattices(A)
| ~ v11_lattices(A)
| ~ v10_lattices(A)
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[d21_lattices]) ).
cnf(c_199,plain,
( r2_lattices(A,C,B)
| k7_lattices(A,B) != C
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ v16_lattices(A)
| ~ v11_lattices(A)
| ~ v10_lattices(A)
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[d21_lattices]) ).
cnf(c_216,plain,
( m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
| ~ l1_lattices(A) ),
inference(clausify,[status(thm)],[dt_u1_lattices]) ).
cnf(c_218,plain,
( m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
| ~ l2_lattices(A) ),
inference(clausify,[status(thm)],[dt_u2_lattices]) ).
cnf(c_220,plain,
( m1_relset_1(A,B,C)
| ~ m2_relset_1(A,B,C) ),
inference(clausify,[status(thm)],[redefinition_m2_relset_1]) ).
cnf(c_227,plain,
( ~ l1_lattices(A)
| m1_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ),
inference(resolve,[status(thm)],[c_220,c_216]) ).
cnf(c_228,plain,
( ~ l2_lattices(A)
| m1_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ),
inference(resolve,[status(thm)],[c_220,c_218]) ).
cnf(c_269,negated_conjecture,
( v15_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_81,c_75]) ).
cnf(c_270,negated_conjecture,
( v16_lattices(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_81,c_74]) ).
cnf(c_272,negated_conjecture,
( v15_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(resolve,[status(thm)],[c_80,c_75]) ).
cnf(c_273,negated_conjecture,
( v16_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(resolve,[status(thm)],[c_80,c_74]) ).
cnf(c_277,negated_conjecture,
k7_lattices(sK1,sK2) != k7_lattices(sK0,sK3),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_278,negated_conjecture,
sK2 = sK3,
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_279,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_280,negated_conjecture,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(paramod,[status(thm)],[c_278,c_279]) ).
cnf(c_281,negated_conjecture,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_282,negated_conjecture,
g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) = g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_283,negated_conjecture,
l3_lattices(sK1),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_284,negated_conjecture,
v10_lattices(sK1),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_285,negated_conjecture,
~ v3_struct_0(sK1),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_286,negated_conjecture,
l3_lattices(sK0),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_287,negated_conjecture,
v10_lattices(sK0),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_288,negated_conjecture,
~ v3_struct_0(sK0),
inference(split_conjunct,[status(thm)],[sk_t12_filter_2_neg]) ).
cnf(c_296,plain,
( r2_lattices(B,E,F)
| ~ r2_lattices(A,C,D)
| F != D
| E != C
| ~ m1_subset_1(F,u1_struct_0(B))
| ~ m1_subset_1(E,u1_struct_0(B))
| ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) != g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ l3_lattices(B)
| ~ v16_lattices(B)
| ~ v15_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B)
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[t11_filter_2]) ).
cnf(c_335,plain,
( F = C
| g3_lattices(D,E,F) != g3_lattices(B,A,C)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(A) ),
inference(clausify,[status(thm)],[free_g3_lattices]) ).
cnf(c_336,plain,
( E = A
| g3_lattices(D,E,F) != g3_lattices(B,A,C)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(A) ),
inference(clausify,[status(thm)],[free_g3_lattices]) ).
cnf(c_337,plain,
( D = B
| g3_lattices(D,E,F) != g3_lattices(B,A,C)
| ~ m1_relset_1(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(C,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_2(A,k2_zfmisc_1(B,B),B)
| ~ v1_funct_1(A) ),
inference(clausify,[status(thm)],[free_g3_lattices]) ).
cnf(c_347,plain,
( v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
| ~ l2_lattices(A) ),
inference(clausify,[status(thm)],[dt_u2_lattices]) ).
cnf(c_348,plain,
( v1_funct_1(u2_lattices(A))
| ~ l2_lattices(A) ),
inference(clausify,[status(thm)],[dt_u2_lattices]) ).
cnf(c_349,plain,
( v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
| ~ l1_lattices(A) ),
inference(clausify,[status(thm)],[dt_u1_lattices]) ).
cnf(c_350,plain,
( v1_funct_1(u1_lattices(A))
| ~ l1_lattices(A) ),
inference(clausify,[status(thm)],[dt_u1_lattices]) ).
cnf(c_351,plain,
( l2_lattices(A)
| ~ l3_lattices(A) ),
inference(clausify,[status(thm)],[dt_l3_lattices]) ).
cnf(c_352,plain,
( l1_lattices(A)
| ~ l3_lattices(A) ),
inference(clausify,[status(thm)],[dt_l3_lattices]) ).
cnf(c_353,plain,
( m1_subset_1(k7_lattices(A,B),u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[dt_k7_lattices]) ).
cnf(c_381,negated_conjecture,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ r2_lattices(sK0,B,A)
| k7_lattices(sK0,A) = B
| ~ m1_subset_1(B,u1_struct_0(sK0))
| ~ v16_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_198,c_193]) ).
cnf(c_4709,negated_conjecture,
( v3_struct_0(sK0)
| ~ r2_lattices(sK0,B,A)
| k7_lattices(sK0,A) = B
| ~ m1_subset_1(B,u1_struct_0(sK0))
| ~ v16_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) ),
inference(copy,[status(thm)],[c_381]) ).
cnf(c_4710,negated_conjecture,
( ~ r2_lattices(sK0,B,A)
| k7_lattices(sK0,A) = B
| ~ m1_subset_1(B,u1_struct_0(sK0))
| ~ v16_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) ),
inference(copy,[status(thm)],[c_4709]) ).
cnf(c_4711,negated_conjecture,
( ~ r2_lattices(sK0,B,A)
| k7_lattices(sK0,A) = B
| ~ m1_subset_1(B,u1_struct_0(sK0))
| ~ v16_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(resolve,[status(thm)],[c_288,c_4710]) ).
cnf(c_4712,negated_conjecture,
( ~ r2_lattices(sK0,B,A)
| k7_lattices(sK0,A) = B
| ~ m1_subset_1(B,u1_struct_0(sK0))
| ~ v16_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ m1_subset_1(A,u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_286,c_4711]) ).
cnf(c_382,negated_conjecture,
( ~ r2_lattices(sK0,B,A)
| k7_lattices(sK0,A) = B
| ~ m1_subset_1(B,u1_struct_0(sK0))
| ~ v16_lattices(sK0)
| ~ m1_subset_1(A,u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_287,c_4712]) ).
cnf(c_391,negated_conjecture,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| r2_lattices(sK1,B,A)
| k7_lattices(sK1,A) != B
| ~ m1_subset_1(B,u1_struct_0(sK1))
| ~ v16_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_199,c_184]) ).
cnf(c_4713,negated_conjecture,
( v3_struct_0(sK1)
| r2_lattices(sK1,B,A)
| k7_lattices(sK1,A) != B
| ~ m1_subset_1(B,u1_struct_0(sK1))
| ~ v16_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_391]) ).
cnf(c_4714,negated_conjecture,
( r2_lattices(sK1,B,A)
| k7_lattices(sK1,A) != B
| ~ m1_subset_1(B,u1_struct_0(sK1))
| ~ v16_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_4713]) ).
cnf(c_4715,negated_conjecture,
( r2_lattices(sK1,B,A)
| k7_lattices(sK1,A) != B
| ~ m1_subset_1(B,u1_struct_0(sK1))
| ~ v16_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_285,c_4714]) ).
cnf(c_4716,negated_conjecture,
( r2_lattices(sK1,B,A)
| k7_lattices(sK1,A) != B
| ~ m1_subset_1(B,u1_struct_0(sK1))
| ~ v16_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_283,c_4715]) ).
cnf(c_392,negated_conjecture,
( r2_lattices(sK1,B,A)
| k7_lattices(sK1,A) != B
| ~ m1_subset_1(B,u1_struct_0(sK1))
| ~ v16_lattices(sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_284,c_4716]) ).
cnf(c_408,negated_conjecture,
k7_lattices(sK1,sK3) != k7_lattices(sK0,sK3),
inference(paramod,[status(thm)],[c_278,c_277]) ).
cnf(c_4717,negated_conjecture,
( v16_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_283,c_270]) ).
cnf(c_409,negated_conjecture,
v16_lattices(sK1),
inference(resolve,[status(thm)],[c_285,c_4717]) ).
cnf(c_4718,negated_conjecture,
( v15_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_283,c_269]) ).
cnf(c_410,negated_conjecture,
v15_lattices(sK1),
inference(resolve,[status(thm)],[c_285,c_4718]) ).
cnf(c_4719,negated_conjecture,
( v16_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_286,c_273]) ).
cnf(c_412,negated_conjecture,
v16_lattices(sK0),
inference(resolve,[status(thm)],[c_288,c_4719]) ).
cnf(c_4720,negated_conjecture,
( v15_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_286,c_272]) ).
cnf(c_413,negated_conjecture,
v15_lattices(sK0),
inference(resolve,[status(thm)],[c_288,c_4720]) ).
cnf(c_442,negated_conjecture,
( r2_lattices(sK1,B,A)
| k7_lattices(sK1,A) != B
| ~ m1_subset_1(B,u1_struct_0(sK1))
| ~ m1_subset_1(A,u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_409,c_392]) ).
cnf(c_445,negated_conjecture,
( ~ r2_lattices(sK0,B,A)
| k7_lattices(sK0,A) = B
| ~ m1_subset_1(B,u1_struct_0(sK0))
| ~ m1_subset_1(A,u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_412,c_382]) ).
cnf(c_4721,negated_conjecture,
( r2_lattices(sK0,D,sK3)
| ~ r2_lattices(A,B,C)
| sK3 != C
| D != B
| ~ m1_subset_1(D,u1_struct_0(sK0))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ l3_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ v15_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_296,c_281]) ).
cnf(c_4722,negated_conjecture,
( r2_lattices(sK0,D,sK3)
| ~ r2_lattices(A,B,C)
| sK3 != C
| D != B
| ~ m1_subset_1(D,u1_struct_0(sK0))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ l3_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ v15_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_288,c_4721]) ).
cnf(c_4723,negated_conjecture,
( r2_lattices(sK0,D,sK3)
| ~ r2_lattices(A,B,C)
| sK3 != C
| D != B
| ~ m1_subset_1(D,u1_struct_0(sK0))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ l3_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ v15_lattices(sK0)
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_287,c_4722]) ).
cnf(c_4724,negated_conjecture,
( r2_lattices(sK0,D,sK3)
| ~ r2_lattices(A,B,C)
| sK3 != C
| D != B
| ~ m1_subset_1(D,u1_struct_0(sK0))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ l3_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_413,c_4723]) ).
cnf(c_4725,negated_conjecture,
( r2_lattices(sK0,D,sK3)
| ~ r2_lattices(A,B,C)
| sK3 != C
| D != B
| ~ m1_subset_1(D,u1_struct_0(sK0))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ l3_lattices(sK0)
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_412,c_4724]) ).
cnf(c_481,negated_conjecture,
( r2_lattices(sK0,D,sK3)
| ~ r2_lattices(A,B,C)
| sK3 != C
| D != B
| ~ m1_subset_1(D,u1_struct_0(sK0))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ l3_lattices(A)
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_286,c_4725]) ).
cnf(c_928,plain,
( u1_lattices(sK1) = u1_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0)) ),
inference(resolve,[status(thm)],[c_335,c_282]) ).
cnf(c_939,plain,
( u2_lattices(sK1) = u2_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0)) ),
inference(resolve,[status(thm)],[c_336,c_282]) ).
cnf(c_950,plain,
( u1_struct_0(sK1) = u1_struct_0(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0)) ),
inference(resolve,[status(thm)],[c_337,c_282]) ).
cnf(c_1062,plain,
l2_lattices(sK0),
inference(resolve,[status(thm)],[c_351,c_286]) ).
cnf(c_1072,plain,
l1_lattices(sK0),
inference(resolve,[status(thm)],[c_352,c_286]) ).
cnf(c_4726,negated_conjecture,
( m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_353,c_280]) ).
cnf(c_4727,negated_conjecture,
( m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK1))
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_285,c_4726]) ).
cnf(c_1086,negated_conjecture,
m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK1)),
inference(resolve,[status(thm)],[c_283,c_4727]) ).
cnf(c_1329,plain,
( r2_lattices(sK1,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_442,c_280]) ).
cnf(c_1343,plain,
( ~ r2_lattices(sK0,A,sK3)
| k7_lattices(sK0,sK3) = A
| ~ m1_subset_1(A,u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_445,c_281]) ).
cnf(c_1473,plain,
v1_funct_1(u2_lattices(sK0)),
inference(resolve,[status(thm)],[c_1062,c_348]) ).
cnf(c_1474,plain,
v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_1062,c_347]) ).
cnf(c_1476,plain,
m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_1062,c_228]) ).
cnf(c_4728,plain,
( u1_struct_0(sK1) = u1_struct_0(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1473,c_950]) ).
cnf(c_4729,plain,
( u1_struct_0(sK1) = u1_struct_0(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1474,c_4728]) ).
cnf(c_1478,plain,
( u1_struct_0(sK1) = u1_struct_0(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) ),
inference(resolve,[status(thm)],[c_1476,c_4729]) ).
cnf(c_4730,plain,
( u2_lattices(sK1) = u2_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1473,c_939]) ).
cnf(c_4731,plain,
( u2_lattices(sK1) = u2_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1474,c_4730]) ).
cnf(c_1479,plain,
( u2_lattices(sK1) = u2_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) ),
inference(resolve,[status(thm)],[c_1476,c_4731]) ).
cnf(c_4732,plain,
( u1_lattices(sK1) = u1_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1473,c_928]) ).
cnf(c_4733,plain,
( u1_lattices(sK1) = u1_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1474,c_4732]) ).
cnf(c_1480,plain,
( u1_lattices(sK1) = u1_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) ),
inference(resolve,[status(thm)],[c_1476,c_4733]) ).
cnf(c_1532,plain,
v1_funct_1(u1_lattices(sK0)),
inference(resolve,[status(thm)],[c_1072,c_350]) ).
cnf(c_1533,plain,
v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_1072,c_349]) ).
cnf(c_1535,plain,
m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_1072,c_227]) ).
cnf(c_4734,plain,
( u1_lattices(sK1) = u1_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1532,c_1480]) ).
cnf(c_4735,plain,
( u1_lattices(sK1) = u1_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1533,c_4734]) ).
cnf(c_1536,plain,
u1_lattices(sK1) = u1_lattices(sK0),
inference(resolve,[status(thm)],[c_1535,c_4735]) ).
cnf(c_4736,plain,
( u2_lattices(sK1) = u2_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1532,c_1479]) ).
cnf(c_4737,plain,
( u2_lattices(sK1) = u2_lattices(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1533,c_4736]) ).
cnf(c_1537,plain,
u2_lattices(sK1) = u2_lattices(sK0),
inference(resolve,[status(thm)],[c_1535,c_4737]) ).
cnf(c_4738,plain,
( u1_struct_0(sK1) = u1_struct_0(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1532,c_1478]) ).
cnf(c_4739,plain,
( u1_struct_0(sK1) = u1_struct_0(sK0)
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1533,c_4738]) ).
cnf(c_1538,plain,
u1_struct_0(sK1) = u1_struct_0(sK0),
inference(resolve,[status(thm)],[c_1535,c_4739]) ).
cnf(c_1554,plain,
( r2_lattices(sK1,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0)) ),
inference(paramod,[status(thm)],[c_1538,c_1329]) ).
cnf(c_1598,negated_conjecture,
m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0)),
inference(paramod,[status(thm)],[c_1538,c_1086]) ).
cnf(c_4740,plain,
( ~ r2_lattices(sK0,k7_lattices(sK1,sK3),sK3)
| k7_lattices(sK0,sK3) = k7_lattices(sK1,sK3) ),
inference(resolve,[status(thm)],[c_1343,c_1598]) ).
cnf(c_4741,plain,
( ~ r2_lattices(sK0,k7_lattices(sK1,sK3),sK3)
| k7_lattices(sK1,sK3) = k7_lattices(sK0,sK3) ),
inference(copy,[status(thm)],[c_4740]) ).
cnf(c_4604,negated_conjecture,
~ r2_lattices(sK0,k7_lattices(sK1,sK3),sK3),
inference(resolve,[status(thm)],[c_408,c_4741]) ).
cnf(c_4742,plain,
( r2_lattices(sK1,k7_lattices(sK1,sK3),sK3)
| k7_lattices(sK1,sK3) != k7_lattices(sK1,sK3) ),
inference(resolve,[status(thm)],[c_1554,c_1598]) ).
cnf(c_4662,plain,
r2_lattices(sK1,k7_lattices(sK1,sK3),sK3),
inference(copy,[status(thm)],[c_4742]) ).
cnf(c_4743,plain,
( r2_lattices(sK0,A,sK3)
| sK3 != sK3
| A != k7_lattices(sK1,sK3)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK1))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_4662,c_481]) ).
cnf(c_4744,plain,
( r2_lattices(sK0,A,sK3)
| sK3 != sK3
| A != k7_lattices(sK1,sK3)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK1))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK1),u1_lattices(sK1))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(paramod,[status(thm)],[c_1538,c_4743]) ).
cnf(c_4745,plain,
( r2_lattices(sK0,A,sK3)
| sK3 != sK3
| A != k7_lattices(sK1,sK3)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK1))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK1))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(paramod,[status(thm)],[c_1537,c_4744]) ).
cnf(c_4746,plain,
( r2_lattices(sK0,A,sK3)
| sK3 != sK3
| A != k7_lattices(sK1,sK3)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK1))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(paramod,[status(thm)],[c_1536,c_4745]) ).
cnf(c_4747,plain,
( r2_lattices(sK0,A,sK3)
| sK3 != sK3
| A != k7_lattices(sK1,sK3)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(paramod,[status(thm)],[c_1538,c_4746]) ).
cnf(c_4748,plain,
( r2_lattices(sK0,A,sK3)
| sK3 != sK3
| A != k7_lattices(sK1,sK3)
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(paramod,[status(thm)],[c_1538,c_4747]) ).
cnf(c_4749,plain,
( r2_lattices(sK0,A,sK3)
| sK3 != sK3
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_4748]) ).
cnf(c_4750,plain,
( r2_lattices(sK0,A,sK3)
| sK3 != sK3
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_4749]) ).
cnf(c_4751,plain,
( r2_lattices(sK0,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_4750]) ).
cnf(c_4752,negated_conjecture,
( r2_lattices(sK0,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(resolve,[status(thm)],[c_285,c_4751]) ).
cnf(c_4753,negated_conjecture,
( r2_lattices(sK0,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ v15_lattices(sK1) ),
inference(resolve,[status(thm)],[c_284,c_4752]) ).
cnf(c_4754,negated_conjecture,
( r2_lattices(sK0,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0))
| ~ l3_lattices(sK1)
| ~ v16_lattices(sK1) ),
inference(resolve,[status(thm)],[c_410,c_4753]) ).
cnf(c_4755,negated_conjecture,
( r2_lattices(sK0,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0))
| ~ l3_lattices(sK1) ),
inference(resolve,[status(thm)],[c_409,c_4754]) ).
cnf(c_4756,negated_conjecture,
( r2_lattices(sK0,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,sK3),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_283,c_4755]) ).
cnf(c_4757,negated_conjecture,
( r2_lattices(sK0,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_1598,c_4756]) ).
cnf(c_4667,negated_conjecture,
( r2_lattices(sK0,A,sK3)
| k7_lattices(sK1,sK3) != A
| ~ m1_subset_1(A,u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_281,c_4757]) ).
cnf(c_4758,plain,
( r2_lattices(sK0,k7_lattices(sK1,sK3),sK3)
| k7_lattices(sK1,sK3) != k7_lattices(sK1,sK3) ),
inference(resolve,[status(thm)],[c_4667,c_1598]) ).
cnf(c_4759,plain,
r2_lattices(sK0,k7_lattices(sK1,sK3),sK3),
inference(copy,[status(thm)],[c_4758]) ).
cnf(c_4708,plain,
$false,
inference(resolve,[status(thm)],[c_4604,c_4759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 20:29:32 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 3105676 was started by sandbox2 on n017,
% 0.08/0.35 % Fri Sep 25 20:29:32 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 21.62/3.52
% 21.62/3.52 % SZS status Theorem for theBenchmark
% 21.62/3.52
% 21.62/3.52 % Proof 1 at 2.80 (+ 0.23) seconds.
% 21.62/3.52 % Length of proof is 89.
% 21.62/3.52 % Level of proof is 10.
% 21.62/3.52 % Maximum clause weight is 80.000.
% 21.62/3.52 % Given clauses 444.
% 21.62/3.52
% 21.62/3.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------