%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT332+2 : 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 04:38:09 PM UTC 2026
% Result : Theorem 73.36s 43.40s
% Output : CNFRefutation 73.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 106 ( 28 unt; 0 def)
% Number of atoms : 623 ( 108 equ)
% Maximal formula atoms : 98 ( 5 avg)
% Number of connectives : 800 ( 283 ~; 308 |; 167 &)
% ( 2 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-3 aty)
% Number of variables : 113 ( 0 sgn 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(t72_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_filter_2) ).
fof(t18_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t18_lattice2) ).
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/Axioms/SET007/SET007+253.ax',fc6_lattice2) ).
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/Axioms/SET007/SET007+253.ax',fc1_lattice2) ).
fof(redefinition_k1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_2(X1) = k1_filter_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).
fof(d2_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d2_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/Axioms/SET007/SET007+253.ax',dt_k1_lattice2) ).
fof(t15_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t15_filter_0) ).
fof(t62_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_lattices(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k8_filter_0(X1,k1_filter_0(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t62_filter_0) ).
fof(dt_k1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_2(k1_filter_2(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_2) ).
fof(d10_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v10_lattices(X3)
& l3_lattices(X3) )
=> ( X3 = k8_filter_0(X1,X2)
<=> ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X3 = g3_lattices(X2,X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d10_filter_0) ).
fof(dt_k8_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_k8_filter_0) ).
fof(fc2_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',fc2_filter_0) ).
fof(t63_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( u1_struct_0(k8_filter_0(X1,X2)) = X2
& u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
& u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t63_filter_0) ).
fof(d2_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',d2_lattice2) ).
fof(t70_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> k8_filter_0(X1,X2) = k23_filter_2(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_filter_2) ).
fof(c_0_17,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d8_filter_2]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t72_filter_2])]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t18_lattice2]) ).
fof(c_0_20,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_21,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]) ).
fof(c_0_22,plain,
! [X6492] :
( v3_struct_0(X6492)
| ~ v10_lattices(X6492)
| ~ l3_lattices(X6492)
| k17_filter_2(X6492) = u1_struct_0(X6492) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_23,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ( k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_24,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_2(X1) = k1_filter_0(X1) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_filter_2]) ).
fof(c_0_25,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d2_filter_0]) ).
fof(c_0_26,plain,
! [X6518] :
( ( v3_lattices(k1_lattice2(X6518))
| ~ l3_lattices(X6518) )
& ( l3_lattices(k1_lattice2(X6518))
| ~ l3_lattices(X6518) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_27,plain,
! [X6445] :
( ( u1_struct_0(X6445) = u1_struct_0(k1_lattice2(X6445))
| v3_struct_0(X6445)
| ~ l3_lattices(X6445) )
& ( u2_lattices(X6445) = u1_lattices(k1_lattice2(X6445))
| v3_struct_0(X6445)
| ~ l3_lattices(X6445) )
& ( u1_lattices(X6445) = u2_lattices(k1_lattice2(X6445))
| v3_struct_0(X6445)
| ~ l3_lattices(X6445) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_28,plain,
! [X6515] :
( ( ~ v3_struct_0(k1_lattice2(X6515))
| v3_struct_0(X6515)
| ~ v10_lattices(X6515)
| ~ l3_lattices(X6515) )
& ( v3_lattices(k1_lattice2(X6515))
| v3_struct_0(X6515)
| ~ v10_lattices(X6515)
| ~ l3_lattices(X6515) )
& ( v4_lattices(k1_lattice2(X6515))
| v3_struct_0(X6515)
| ~ v10_lattices(X6515)
| ~ l3_lattices(X6515) )
& ( v5_lattices(k1_lattice2(X6515))
| v3_struct_0(X6515)
| ~ v10_lattices(X6515)
| ~ l3_lattices(X6515) )
& ( v6_lattices(k1_lattice2(X6515))
| v3_struct_0(X6515)
| ~ v10_lattices(X6515)
| ~ l3_lattices(X6515) )
& ( v7_lattices(k1_lattice2(X6515))
| v3_struct_0(X6515)
| ~ v10_lattices(X6515)
| ~ l3_lattices(X6515) )
& ( v8_lattices(k1_lattice2(X6515))
| v3_struct_0(X6515)
| ~ v10_lattices(X6515)
| ~ l3_lattices(X6515) )
& ( v9_lattices(k1_lattice2(X6515))
| v3_struct_0(X6515)
| ~ v10_lattices(X6515)
| ~ l3_lattices(X6515) )
& ( v10_lattices(k1_lattice2(X6515))
| v3_struct_0(X6515)
| ~ v10_lattices(X6515)
| ~ l3_lattices(X6515) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_29,plain,
! [X6514] :
( ( ~ v3_struct_0(k1_lattice2(X6514))
| v3_struct_0(X6514)
| ~ l3_lattices(X6514) )
& ( v3_lattices(k1_lattice2(X6514))
| v3_struct_0(X6514)
| ~ l3_lattices(X6514) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| k17_filter_2(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_34,plain,
! [X6490] :
( v3_struct_0(X6490)
| ~ v10_lattices(X6490)
| ~ l3_lattices(X6490)
| k1_filter_2(X6490) = k1_filter_0(X6490) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_35,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
fof(c_0_36,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_lattices(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k8_filter_0(X1,k1_filter_0(X1)) = X1 ),
inference(fof_simplification,[status(thm)],[t62_filter_0]) ).
fof(c_0_37,plain,
! [X8693] :
( v3_struct_0(X8693)
| ~ v10_lattices(X8693)
| ~ l3_lattices(X8693)
| k1_filter_0(X8693) = u1_struct_0(X8693) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
cnf(c_0_38,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,plain,
( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,negated_conjecture,
( k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_43,negated_conjecture,
k17_filter_2(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| k1_filter_2(X1) = k1_filter_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_45,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_2(k1_filter_2(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k1_filter_2]) ).
fof(c_0_46,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v10_lattices(X3)
& l3_lattices(X3) )
=> ( X3 = k8_filter_0(X1,X2)
<=> ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X3 = g3_lattices(X2,X4,X5) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d10_filter_0]) ).
fof(c_0_47,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_0]) ).
fof(c_0_48,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc2_filter_0]) ).
fof(c_0_49,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( u1_struct_0(k8_filter_0(X1,X2)) = X2
& u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
& u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[t63_filter_0]) ).
fof(c_0_50,plain,
! [X6478] :
( v3_struct_0(X6478)
| ~ v10_lattices(X6478)
| ~ l3_lattices(X6478)
| m1_filter_0(u1_struct_0(X6478),X6478) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_51,plain,
! [X6513] :
( v3_struct_0(X6513)
| ~ v3_lattices(X6513)
| ~ v10_lattices(X6513)
| ~ l3_lattices(X6513)
| k8_filter_0(X6513,k1_filter_0(X6513)) = X6513 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
cnf(c_0_52,plain,
( v3_struct_0(X1)
| k1_filter_0(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_53,negated_conjecture,
l3_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_38,c_0_31]) ).
cnf(c_0_54,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_31]),c_0_33]) ).
cnf(c_0_55,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_40,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_56,negated_conjecture,
~ v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_31]),c_0_33]) ).
cnf(c_0_57,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_58,negated_conjecture,
( k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_59,negated_conjecture,
k1_filter_2(esk1_0) = k1_filter_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_31]),c_0_32])]),c_0_33]) ).
fof(c_0_60,plain,
! [X6386] :
( ~ l3_lattices(X6386)
| k1_lattice2(X6386) = g3_lattices(u1_struct_0(X6386),u1_lattices(X6386),u2_lattices(X6386)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])]) ).
cnf(c_0_61,plain,
( u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_62,plain,
( u1_lattices(X1) = u2_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_63,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> k8_filter_0(X1,X2) = k23_filter_2(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t70_filter_2]) ).
fof(c_0_64,plain,
! [X6489] :
( v3_struct_0(X6489)
| ~ v10_lattices(X6489)
| ~ l3_lattices(X6489)
| m1_filter_2(k1_filter_2(X6489),X6489) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_65,plain,
! [X6379,X6380,X6381,X6384,X6385] :
( ( v1_funct_1(esk2_3(X6379,X6380,X6381))
| X6381 != k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) )
& ( v1_funct_2(esk2_3(X6379,X6380,X6381),k2_zfmisc_1(X6380,X6380),X6380)
| X6381 != k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) )
& ( m2_relset_1(esk2_3(X6379,X6380,X6381),k2_zfmisc_1(X6380,X6380),X6380)
| X6381 != k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) )
& ( v1_funct_1(esk3_3(X6379,X6380,X6381))
| X6381 != k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) )
& ( v1_funct_2(esk3_3(X6379,X6380,X6381),k2_zfmisc_1(X6380,X6380),X6380)
| X6381 != k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) )
& ( m2_relset_1(esk3_3(X6379,X6380,X6381),k2_zfmisc_1(X6380,X6380),X6380)
| X6381 != k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) )
& ( esk2_3(X6379,X6380,X6381) = k1_realset1(u2_lattices(X6379),X6380)
| X6381 != k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) )
& ( esk3_3(X6379,X6380,X6381) = k1_realset1(u1_lattices(X6379),X6380)
| X6381 != k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) )
& ( X6381 = g3_lattices(X6380,esk2_3(X6379,X6380,X6381),esk3_3(X6379,X6380,X6381))
| X6381 != k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) )
& ( ~ v1_funct_1(X6384)
| ~ v1_funct_2(X6384,k2_zfmisc_1(X6380,X6380),X6380)
| ~ m2_relset_1(X6384,k2_zfmisc_1(X6380,X6380),X6380)
| ~ v1_funct_1(X6385)
| ~ v1_funct_2(X6385,k2_zfmisc_1(X6380,X6380),X6380)
| ~ m2_relset_1(X6385,k2_zfmisc_1(X6380,X6380),X6380)
| X6384 != k1_realset1(u2_lattices(X6379),X6380)
| X6385 != k1_realset1(u1_lattices(X6379),X6380)
| X6381 != g3_lattices(X6380,X6384,X6385)
| X6381 = k8_filter_0(X6379,X6380)
| v3_struct_0(X6381)
| ~ v10_lattices(X6381)
| ~ l3_lattices(X6381)
| ~ m1_filter_0(X6380,X6379)
| v3_struct_0(X6379)
| ~ v10_lattices(X6379)
| ~ l3_lattices(X6379) ) ),
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_46])])])])]) ).
fof(c_0_66,plain,
! [X7260,X7261] :
( ( ~ v3_struct_0(k8_filter_0(X7260,X7261))
| v3_struct_0(X7260)
| ~ v10_lattices(X7260)
| ~ l3_lattices(X7260)
| ~ m1_filter_0(X7261,X7260) )
& ( v10_lattices(k8_filter_0(X7260,X7261))
| v3_struct_0(X7260)
| ~ v10_lattices(X7260)
| ~ l3_lattices(X7260)
| ~ m1_filter_0(X7261,X7260) )
& ( l3_lattices(k8_filter_0(X7260,X7261))
| v3_struct_0(X7260)
| ~ v10_lattices(X7260)
| ~ l3_lattices(X7260)
| ~ m1_filter_0(X7261,X7260) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
fof(c_0_67,plain,
! [X6511,X6512] :
( ( ~ v3_struct_0(k8_filter_0(X6511,X6512))
| v3_struct_0(X6511)
| ~ v10_lattices(X6511)
| ~ l3_lattices(X6511)
| ~ m1_filter_0(X6512,X6511) )
& ( v3_lattices(k8_filter_0(X6511,X6512))
| v3_struct_0(X6511)
| ~ v10_lattices(X6511)
| ~ l3_lattices(X6511)
| ~ m1_filter_0(X6512,X6511) )
& ( v4_lattices(k8_filter_0(X6511,X6512))
| v3_struct_0(X6511)
| ~ v10_lattices(X6511)
| ~ l3_lattices(X6511)
| ~ m1_filter_0(X6512,X6511) )
& ( v5_lattices(k8_filter_0(X6511,X6512))
| v3_struct_0(X6511)
| ~ v10_lattices(X6511)
| ~ l3_lattices(X6511)
| ~ m1_filter_0(X6512,X6511) )
& ( v6_lattices(k8_filter_0(X6511,X6512))
| v3_struct_0(X6511)
| ~ v10_lattices(X6511)
| ~ l3_lattices(X6511)
| ~ m1_filter_0(X6512,X6511) )
& ( v7_lattices(k8_filter_0(X6511,X6512))
| v3_struct_0(X6511)
| ~ v10_lattices(X6511)
| ~ l3_lattices(X6511)
| ~ m1_filter_0(X6512,X6511) )
& ( v8_lattices(k8_filter_0(X6511,X6512))
| v3_struct_0(X6511)
| ~ v10_lattices(X6511)
| ~ l3_lattices(X6511)
| ~ m1_filter_0(X6512,X6511) )
& ( v9_lattices(k8_filter_0(X6511,X6512))
| v3_struct_0(X6511)
| ~ v10_lattices(X6511)
| ~ l3_lattices(X6511)
| ~ m1_filter_0(X6512,X6511) )
& ( v10_lattices(k8_filter_0(X6511,X6512))
| v3_struct_0(X6511)
| ~ v10_lattices(X6511)
| ~ l3_lattices(X6511)
| ~ m1_filter_0(X6512,X6511) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
fof(c_0_68,plain,
! [X6441,X6442] :
( ( u1_struct_0(k8_filter_0(X6441,X6442)) = X6442
| ~ m1_filter_0(X6442,X6441)
| v3_struct_0(X6441)
| ~ v10_lattices(X6441)
| ~ l3_lattices(X6441) )
& ( u2_lattices(k8_filter_0(X6441,X6442)) = k1_realset1(u2_lattices(X6441),X6442)
| ~ m1_filter_0(X6442,X6441)
| v3_struct_0(X6441)
| ~ v10_lattices(X6441)
| ~ l3_lattices(X6441) )
& ( u1_lattices(k8_filter_0(X6441,X6442)) = k1_realset1(u1_lattices(X6441),X6442)
| ~ m1_filter_0(X6442,X6441)
| v3_struct_0(X6441)
| ~ v10_lattices(X6441)
| ~ l3_lattices(X6441) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
cnf(c_0_69,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_70,plain,
( v3_struct_0(X1)
| k8_filter_0(X1,k1_filter_0(X1)) = X1
| ~ v3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_71,negated_conjecture,
k1_filter_0(k1_lattice2(esk1_0)) = u1_struct_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_52,c_0_53]),c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_72,negated_conjecture,
v3_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_57,c_0_31]) ).
cnf(c_0_73,negated_conjecture,
( k23_filter_2(esk1_0,k1_filter_0(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_74,negated_conjecture,
k1_filter_0(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_75,plain,
( k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_76,negated_conjecture,
u1_lattices(k1_lattice2(esk1_0)) = u2_lattices(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_31]),c_0_33]) ).
cnf(c_0_77,negated_conjecture,
u2_lattices(k1_lattice2(esk1_0)) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_31]),c_0_33]) ).
fof(c_0_78,plain,
! [X6485,X6486] :
( v3_struct_0(X6485)
| ~ v10_lattices(X6485)
| ~ l3_lattices(X6485)
| ~ m1_filter_2(X6486,X6485)
| k8_filter_0(X6485,X6486) = k23_filter_2(X6485,X6486) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
cnf(c_0_79,plain,
( v3_struct_0(X1)
| m1_filter_2(k1_filter_2(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_80,plain,
( esk2_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| X3 != k8_filter_0(X1,X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_81,plain,
( l3_lattices(k8_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_82,plain,
( v10_lattices(k8_filter_0(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_83,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k8_filter_0(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_84,plain,
( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_85,negated_conjecture,
m1_filter_0(u1_struct_0(esk1_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_69,c_0_53]),c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_86,negated_conjecture,
k8_filter_0(k1_lattice2(esk1_0),u1_struct_0(esk1_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_70,c_0_53]),c_0_71]),c_0_55]),c_0_72])]),c_0_56]) ).
cnf(c_0_87,plain,
( esk3_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| X3 != k8_filter_0(X1,X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_88,plain,
( u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_89,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_90,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = k1_lattice2(k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_53]),c_0_54]),c_0_76]),c_0_77]) ).
cnf(c_0_91,plain,
( v3_struct_0(X1)
| k8_filter_0(X1,X2) = k23_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_92,negated_conjecture,
m1_filter_2(u1_struct_0(esk1_0),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_79,c_0_31]),c_0_59]),c_0_74]),c_0_32])]),c_0_33]) ).
cnf(c_0_93,plain,
( X1 = g3_lattices(X2,esk2_3(X3,X2,X1),esk3_3(X3,X2,X1))
| v3_struct_0(X1)
| v3_struct_0(X3)
| X1 != k8_filter_0(X3,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_94,plain,
( esk2_3(X1,X2,k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_80]),c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_95,negated_conjecture,
m1_filter_0(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_96,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)) = u2_lattices(esk1_0),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_76]),c_0_76]),c_0_55]),c_0_53])]),c_0_56]) ).
cnf(c_0_97,plain,
( esk3_3(X1,X2,k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_87]),c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_98,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)) = u1_lattices(esk1_0),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_85]),c_0_86]),c_0_77]),c_0_77]),c_0_55]),c_0_53])]),c_0_56]) ).
cnf(c_0_99,negated_conjecture,
k23_filter_2(esk1_0,u1_struct_0(esk1_0)) != k1_lattice2(k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
k23_filter_2(esk1_0,u1_struct_0(esk1_0)) = k8_filter_0(esk1_0,u1_struct_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_91,c_0_92]),c_0_32]),c_0_31])]),c_0_33]) ).
cnf(c_0_101,plain,
( g3_lattices(X1,esk2_3(X2,X1,k8_filter_0(X2,X1)),esk3_3(X2,X1,k8_filter_0(X2,X1))) = k8_filter_0(X2,X1)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_93]),c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_102,negated_conjecture,
esk2_3(esk1_0,u1_struct_0(esk1_0),k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u2_lattices(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_94,c_0_95]),c_0_96]),c_0_32]),c_0_31])]),c_0_33]) ).
cnf(c_0_103,negated_conjecture,
esk3_3(esk1_0,u1_struct_0(esk1_0),k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u1_lattices(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_97,c_0_95]),c_0_98]),c_0_32]),c_0_31])]),c_0_33]) ).
cnf(c_0_104,negated_conjecture,
k8_filter_0(esk1_0,u1_struct_0(esk1_0)) != k1_lattice2(k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(sr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_95]),c_0_102]),c_0_103]),c_0_90]),c_0_32]),c_0_31])]),c_0_104]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT332+2 : 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
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 21:23:59 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 62.01/32.19 % Warning 104: No lemmas were extracted from the log file '/export/starexec/sandbox/solver/bin/output/initial_lemmas_CSE.log'. Continuing with baseline prover only.
% 73.36/43.40 % Version : CSE_E---1.7
% 73.36/43.40 % Problem : theBenchmark.p
% 73.36/43.40 % SZS status Theorem for theBenchmark.p
% 73.36/43.40 % SZS output start CNFRefutation
% See solution above
% 73.56/43.63 % Total time : 34.707s
%------------------------------------------------------------------------------