%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT324+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.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 May 5 04:38:07 PM UTC 2026
% Result : Theorem 8.74s 5.63s
% Output : CNFRefutation 8.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 109 ( 15 unt; 0 def)
% Number of atoms : 684 ( 49 equ)
% Maximal formula atoms : 80 ( 6 avg)
% Number of connectives : 873 ( 298 ~; 339 |; 181 &)
% ( 2 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 135 ( 0 sgn 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(t60_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m2_filter_2(X4,X1)
=> ~ ( r2_filter_2(X1,X4)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_filter_2) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(fc4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(t60_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m1_filter_0(X4,X1)
=> ~ ( v1_filter_0(X4,X1)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_filter_0) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(dt_k8_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_filter_2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_filter_2) ).
fof(dt_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(redefinition_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_filter_2]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m2_filter_2(X4,X1)
=> ~ ( r2_filter_2(X1,X4)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t60_filter_2])]) ).
fof(c_0_18,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).
fof(c_0_19,plain,
! [X182,X183] :
( v3_struct_0(X182)
| ~ v10_lattices(X182)
| ~ l3_lattices(X182)
| ~ m1_subset_1(X183,u1_struct_0(X182))
| k5_filter_2(X182,X183) = X183 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,negated_conjecture,
! [X165] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& esk2_0 != esk3_0
& ( ~ r2_hidden(esk2_0,X165)
| r2_hidden(esk3_0,X165)
| ~ r2_filter_2(esk1_0,X165)
| ~ m2_filter_2(X165,esk1_0) )
& ( r2_hidden(esk2_0,X165)
| ~ r2_hidden(esk3_0,X165)
| ~ r2_filter_2(esk1_0,X165)
| ~ m2_filter_2(X165,esk1_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_filter_2]) ).
fof(c_0_22,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m1_filter_0(X4,X1)
=> ~ ( v1_filter_0(X4,X1)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t60_filter_0]) ).
fof(c_0_24,plain,
! [X196,X197] :
( v3_struct_0(X196)
| ~ v10_lattices(X196)
| ~ l3_lattices(X196)
| ~ m1_subset_1(X197,u1_struct_0(X196))
| m1_subset_1(k5_filter_2(X196,X197),u1_struct_0(k1_lattice2(X196))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| k5_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_30,plain,
! [X250] :
( ( ~ v3_struct_0(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v3_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v4_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v5_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v6_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v7_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v8_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v9_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v10_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v11_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v12_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v13_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v14_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v15_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v16_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) )
& ( v17_lattices(k1_lattice2(X250))
| v3_struct_0(X250)
| ~ v10_lattices(X250)
| ~ v17_lattices(X250)
| ~ l3_lattices(X250) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_31,plain,
! [X255] :
( ( ~ v3_struct_0(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ v10_lattices(X255)
| ~ l3_lattices(X255) )
& ( v3_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ v10_lattices(X255)
| ~ l3_lattices(X255) )
& ( v4_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ v10_lattices(X255)
| ~ l3_lattices(X255) )
& ( v5_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ v10_lattices(X255)
| ~ l3_lattices(X255) )
& ( v6_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ v10_lattices(X255)
| ~ l3_lattices(X255) )
& ( v7_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ v10_lattices(X255)
| ~ l3_lattices(X255) )
& ( v8_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ v10_lattices(X255)
| ~ l3_lattices(X255) )
& ( v9_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ v10_lattices(X255)
| ~ l3_lattices(X255) )
& ( v10_lattices(k1_lattice2(X255))
| v3_struct_0(X255)
| ~ v10_lattices(X255)
| ~ l3_lattices(X255) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_32,plain,
! [X307,X308,X309] :
( ( m1_filter_0(esk32_3(X307,X308,X309),X307)
| X308 = X309
| ~ m1_subset_1(X309,u1_struct_0(X307))
| ~ m1_subset_1(X308,u1_struct_0(X307))
| v3_struct_0(X307)
| ~ v10_lattices(X307)
| ~ v17_lattices(X307)
| ~ l3_lattices(X307) )
& ( v1_filter_0(esk32_3(X307,X308,X309),X307)
| X308 = X309
| ~ m1_subset_1(X309,u1_struct_0(X307))
| ~ m1_subset_1(X308,u1_struct_0(X307))
| v3_struct_0(X307)
| ~ v10_lattices(X307)
| ~ v17_lattices(X307)
| ~ l3_lattices(X307) )
& ( ~ r2_hidden(X308,esk32_3(X307,X308,X309))
| r2_hidden(X308,esk32_3(X307,X308,X309))
| X308 = X309
| ~ m1_subset_1(X309,u1_struct_0(X307))
| ~ m1_subset_1(X308,u1_struct_0(X307))
| v3_struct_0(X307)
| ~ v10_lattices(X307)
| ~ v17_lattices(X307)
| ~ l3_lattices(X307) )
& ( r2_hidden(X309,esk32_3(X307,X308,X309))
| r2_hidden(X308,esk32_3(X307,X308,X309))
| X308 = X309
| ~ m1_subset_1(X309,u1_struct_0(X307))
| ~ m1_subset_1(X308,u1_struct_0(X307))
| v3_struct_0(X307)
| ~ v10_lattices(X307)
| ~ v17_lattices(X307)
| ~ l3_lattices(X307) )
& ( ~ r2_hidden(X308,esk32_3(X307,X308,X309))
| ~ r2_hidden(X309,esk32_3(X307,X308,X309))
| X308 = X309
| ~ m1_subset_1(X309,u1_struct_0(X307))
| ~ m1_subset_1(X308,u1_struct_0(X307))
| v3_struct_0(X307)
| ~ v10_lattices(X307)
| ~ v17_lattices(X307)
| ~ l3_lattices(X307) )
& ( r2_hidden(X309,esk32_3(X307,X308,X309))
| ~ r2_hidden(X309,esk32_3(X307,X308,X309))
| X308 = X309
| ~ m1_subset_1(X309,u1_struct_0(X307))
| ~ m1_subset_1(X308,u1_struct_0(X307))
| v3_struct_0(X307)
| ~ v10_lattices(X307)
| ~ v17_lattices(X307)
| ~ l3_lattices(X307) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
k5_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_35,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( m1_filter_0(esk32_3(X1,X2,X3),X1)
| X2 = X3
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_34]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_40,negated_conjecture,
v17_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_36]),c_0_28])]),c_0_29]) ).
cnf(c_0_41,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_42,plain,
! [X195] :
( ( v3_lattices(k1_lattice2(X195))
| ~ l3_lattices(X195) )
& ( l3_lattices(k1_lattice2(X195))
| ~ l3_lattices(X195) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
cnf(c_0_43,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_44,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
cnf(c_0_45,negated_conjecture,
( X1 = esk2_0
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41])]) ).
cnf(c_0_46,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
k5_filter_2(esk1_0,esk3_0) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_43]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_48,plain,
! [X205,X206] :
( ( ~ v1_xboole_0(X206)
| ~ m1_filter_0(X206,X205)
| v3_struct_0(X205)
| ~ v10_lattices(X205)
| ~ l3_lattices(X205) )
& ( m1_subset_1(X206,k1_zfmisc_1(u1_struct_0(X205)))
| ~ m1_filter_0(X206,X205)
| v3_struct_0(X205)
| ~ v10_lattices(X205)
| ~ l3_lattices(X205) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
cnf(c_0_49,negated_conjecture,
( X1 = esk2_0
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_27])]) ).
cnf(c_0_50,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_43]),c_0_47]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_51,negated_conjecture,
esk2_0 != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_52,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_2]) ).
cnf(c_0_53,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( m1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
fof(c_0_55,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d7_filter_2]) ).
fof(c_0_56,plain,
! [X200,X201] :
( v3_struct_0(X200)
| ~ v10_lattices(X200)
| ~ l3_lattices(X200)
| ~ m1_subset_1(X201,k1_zfmisc_1(u1_struct_0(k1_lattice2(X200))))
| m1_subset_1(k8_filter_2(X200,X201),k1_zfmisc_1(u1_struct_0(X200))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])]) ).
cnf(c_0_57,negated_conjecture,
( m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_41])]) ).
fof(c_0_58,plain,
! [X186,X187] :
( v3_struct_0(X186)
| ~ v10_lattices(X186)
| ~ l3_lattices(X186)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(k1_lattice2(X186))))
| k8_filter_2(X186,X187) = X187 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_59,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k14_filter_2]) ).
fof(c_0_60,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k14_filter_2]) ).
fof(c_0_61,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
cnf(c_0_62,plain,
( v3_struct_0(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_46]),c_0_27])]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| k8_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_65,plain,
! [X191,X192] :
( v3_struct_0(X191)
| ~ v10_lattices(X191)
| ~ l3_lattices(X191)
| ~ m1_filter_0(X192,k1_lattice2(X191))
| m2_filter_2(k14_filter_2(X191,X192),X191) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).
fof(c_0_66,plain,
! [X283,X284] :
( v3_struct_0(X283)
| ~ v10_lattices(X283)
| ~ l3_lattices(X283)
| ~ m1_filter_0(X284,k1_lattice2(X283))
| k14_filter_2(X283,X284) = k8_filter_2(X283,X284) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])]) ).
fof(c_0_67,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
fof(c_0_68,plain,
! [X184,X185] :
( v3_struct_0(X184)
| ~ v10_lattices(X184)
| ~ l3_lattices(X184)
| ~ m1_subset_1(X185,k1_zfmisc_1(u1_struct_0(X184)))
| k7_filter_2(X184,X185) = X185 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
cnf(c_0_69,negated_conjecture,
( m1_subset_1(k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_70,negated_conjecture,
( k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_63]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
( v3_struct_0(X1)
| k14_filter_2(X1,X2) = k8_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_73,plain,
! [X285,X286] :
( v3_struct_0(X285)
| ~ v10_lattices(X285)
| ~ l3_lattices(X285)
| ~ m2_filter_2(X286,X285)
| k15_filter_2(X285,X286) = k7_filter_2(X285,X286) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])]) ).
cnf(c_0_74,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( m2_filter_2(k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_54]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_77,negated_conjecture,
( k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_54]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_78,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
cnf(c_0_79,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( k7_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_81,negated_conjecture,
( m2_filter_2(k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,plain,
( v1_filter_0(esk32_3(X1,X2,X3),X1)
| X2 = X3
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_83,plain,
! [X297,X298] :
( ( ~ r2_filter_2(X297,X298)
| v1_filter_0(k15_filter_2(X297,X298),k1_lattice2(X297))
| ~ m2_filter_2(X298,X297)
| v3_struct_0(X297)
| ~ v10_lattices(X297)
| ~ l3_lattices(X297) )
& ( ~ v1_filter_0(k15_filter_2(X297,X298),k1_lattice2(X297))
| r2_filter_2(X297,X298)
| ~ m2_filter_2(X298,X297)
| v3_struct_0(X297)
| ~ v10_lattices(X297)
| ~ l3_lattices(X297) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])]) ).
cnf(c_0_84,negated_conjecture,
( k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m2_filter_2(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_85,negated_conjecture,
( m2_filter_2(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_81,c_0_70]) ).
cnf(c_0_86,negated_conjecture,
( X1 = esk2_0
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_39]),c_0_40]),c_0_41])]) ).
cnf(c_0_87,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,negated_conjecture,
( X1 = esk2_0
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_46]),c_0_27])]) ).
cnf(c_0_90,plain,
( r2_hidden(X1,esk32_3(X2,X3,X1))
| r2_hidden(X3,esk32_3(X2,X3,X1))
| X3 = X1
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_91,negated_conjecture,
( r2_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_27]),c_0_28])]),c_0_29]),c_0_85]) ).
cnf(c_0_92,negated_conjecture,
( v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_50]),c_0_51]) ).
cnf(c_0_93,negated_conjecture,
( X1 = esk3_0
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_50]),c_0_40]),c_0_41])]) ).
cnf(c_0_94,negated_conjecture,
( r2_hidden(esk3_0,X1)
| ~ r2_hidden(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_95,negated_conjecture,
( r2_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,negated_conjecture,
( r2_hidden(esk2_0,X1)
| ~ r2_hidden(esk3_0,X1)
| ~ r2_filter_2(esk1_0,X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_97,negated_conjecture,
( X1 = esk3_0
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_46]),c_0_27])]) ).
cnf(c_0_98,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_85]) ).
fof(c_0_99,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_100,negated_conjecture,
( r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_95]),c_0_85]) ).
cnf(c_0_101,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_39]),c_0_51]),c_0_98]) ).
fof(c_0_102,plain,
! [X240] :
( ( ~ v3_struct_0(k1_lattice2(X240))
| v3_struct_0(X240)
| ~ l3_lattices(X240) )
& ( v3_lattices(k1_lattice2(X240))
| v3_struct_0(X240)
| ~ l3_lattices(X240) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])]) ).
cnf(c_0_103,plain,
( X1 = X3
| v3_struct_0(X2)
| ~ r2_hidden(X1,esk32_3(X2,X1,X3))
| ~ r2_hidden(X3,esk32_3(X2,X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_104,negated_conjecture,
( r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_106,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_39]),c_0_50]),c_0_40]),c_0_41])]),c_0_51]),c_0_101]) ).
cnf(c_0_107,negated_conjecture,
~ l3_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_27])]),c_0_29]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_46]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT324+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n029.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 21:17:59 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 8.74/5.63 % Version : CSE_E---1.7
% 8.74/5.63 % Problem : theBenchmark.p
% 8.74/5.63 % SZS status Theorem for theBenchmark.p
% 8.74/5.63 % SZS output start CNFRefutation
% See solution above
% 8.74/5.65 % Total time : 4.374s
%------------------------------------------------------------------------------