%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT332+4 : 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 : n026.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 04:38:10 PM UTC 2026
% Result : Theorem 62.87s 61.39s
% Output : CNFRefutation 62.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 130 ( 30 unt; 0 def)
% Number of atoms : 725 ( 86 equ)
% Maximal formula atoms : 54 ( 5 avg)
% Number of connectives : 907 ( 312 ~; 332 |; 208 &)
% ( 2 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-3 aty)
% Number of variables : 130 ( 0 sgn 88 !; 0 ?)
% 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(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(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(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(t75_nat_lat,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_nat_lat(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+297.ax',t75_nat_lat) ).
fof(dt_k1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k1_filter_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_k1_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(d16_nat_lat,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( m2_nat_lat(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
& u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+297.ax',d16_nat_lat) ).
fof(dt_m2_nat_lat,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+297.ax',dt_m2_nat_lat) ).
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(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(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(t10_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_lattice4(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t10_lattice4) ).
fof(dt_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_2) ).
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(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(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(fc5_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_filter_2) ).
fof(t7_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_lattice2(k1_lattice2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_filter_2) ).
fof(t19_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_lattices(X1)
& l3_lattices(X1) )
=> k1_lattice2(k1_lattice2(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t19_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(c_0_22,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_23,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_24,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_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,
! [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_27,plain,
! [X617] :
( v3_struct_0(X617)
| ~ v10_lattices(X617)
| ~ l3_lattices(X617)
| k17_filter_2(X617) = u1_struct_0(X617) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_28,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_23])])]) ).
fof(c_0_29,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_nat_lat(X1,X1) ),
inference(fof_simplification,[status(thm)],[t75_nat_lat]) ).
fof(c_0_30,plain,
! [X718] :
( ( ~ v3_struct_0(k1_lattice2(X718))
| v3_struct_0(X718)
| ~ v10_lattices(X718)
| ~ l3_lattices(X718) )
& ( v3_lattices(k1_lattice2(X718))
| v3_struct_0(X718)
| ~ v10_lattices(X718)
| ~ l3_lattices(X718) )
& ( v4_lattices(k1_lattice2(X718))
| v3_struct_0(X718)
| ~ v10_lattices(X718)
| ~ l3_lattices(X718) )
& ( v5_lattices(k1_lattice2(X718))
| v3_struct_0(X718)
| ~ v10_lattices(X718)
| ~ l3_lattices(X718) )
& ( v6_lattices(k1_lattice2(X718))
| v3_struct_0(X718)
| ~ v10_lattices(X718)
| ~ l3_lattices(X718) )
& ( v7_lattices(k1_lattice2(X718))
| v3_struct_0(X718)
| ~ v10_lattices(X718)
| ~ l3_lattices(X718) )
& ( v8_lattices(k1_lattice2(X718))
| v3_struct_0(X718)
| ~ v10_lattices(X718)
| ~ l3_lattices(X718) )
& ( v9_lattices(k1_lattice2(X718))
| v3_struct_0(X718)
| ~ v10_lattices(X718)
| ~ l3_lattices(X718) )
& ( v10_lattices(k1_lattice2(X718))
| v3_struct_0(X718)
| ~ v10_lattices(X718)
| ~ l3_lattices(X718) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_31,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k1_filter_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k1_filter_0]) ).
fof(c_0_32,plain,
! [X945] :
( v3_struct_0(X945)
| ~ v10_lattices(X945)
| ~ l3_lattices(X945)
| k1_filter_0(X945) = u1_struct_0(X945) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
fof(c_0_33,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_34,plain,
! [X615] :
( v3_struct_0(X615)
| ~ v10_lattices(X615)
| ~ l3_lattices(X615)
| k1_filter_2(X615) = k1_filter_0(X615) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
cnf(c_0_35,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_27]) ).
cnf(c_0_36,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_39,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( m2_nat_lat(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
& u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d16_nat_lat]) ).
fof(c_0_40,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_nat_lat]) ).
fof(c_0_41,plain,
! [X790] :
( v3_struct_0(X790)
| ~ v10_lattices(X790)
| ~ l3_lattices(X790)
| m2_nat_lat(X790,X790) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
cnf(c_0_42,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_43,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_44,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_45,plain,
! [X952] :
( v3_struct_0(X952)
| ~ v10_lattices(X952)
| ~ l3_lattices(X952)
| m1_filter_0(k1_filter_0(X952),X952) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
cnf(c_0_46,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_32]) ).
fof(c_0_47,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_48,plain,
! [X614] :
( v3_struct_0(X614)
| ~ v10_lattices(X614)
| ~ l3_lattices(X614)
| m1_filter_2(k1_filter_2(X614),X614) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
cnf(c_0_49,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_50,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_lattice4(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t10_lattice4]) ).
fof(c_0_51,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_2]) ).
cnf(c_0_52,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_28]) ).
cnf(c_0_53,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_35,c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_54,plain,
! [X788,X789] :
( ( r1_tarski(u1_struct_0(X789),u1_struct_0(X788))
| ~ m2_nat_lat(X789,X788)
| v3_struct_0(X789)
| ~ v10_lattices(X789)
| ~ l3_lattices(X789)
| v3_struct_0(X788)
| ~ v10_lattices(X788)
| ~ l3_lattices(X788) )
& ( u2_lattices(X789) = k1_realset1(u2_lattices(X788),u1_struct_0(X789))
| ~ m2_nat_lat(X789,X788)
| v3_struct_0(X789)
| ~ v10_lattices(X789)
| ~ l3_lattices(X789)
| v3_struct_0(X788)
| ~ v10_lattices(X788)
| ~ l3_lattices(X788) )
& ( u1_lattices(X789) = k1_realset1(u1_lattices(X788),u1_struct_0(X789))
| ~ m2_nat_lat(X789,X788)
| v3_struct_0(X789)
| ~ v10_lattices(X789)
| ~ l3_lattices(X789)
| v3_struct_0(X788)
| ~ v10_lattices(X788)
| ~ l3_lattices(X788) )
& ( ~ r1_tarski(u1_struct_0(X789),u1_struct_0(X788))
| u2_lattices(X789) != k1_realset1(u2_lattices(X788),u1_struct_0(X789))
| u1_lattices(X789) != k1_realset1(u1_lattices(X788),u1_struct_0(X789))
| m2_nat_lat(X789,X788)
| v3_struct_0(X789)
| ~ v10_lattices(X789)
| ~ l3_lattices(X789)
| v3_struct_0(X788)
| ~ v10_lattices(X788)
| ~ l3_lattices(X788) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_55,plain,
! [X791,X792] :
( ( ~ v3_struct_0(X792)
| ~ m2_nat_lat(X792,X791)
| v3_struct_0(X791)
| ~ v10_lattices(X791)
| ~ l3_lattices(X791) )
& ( v10_lattices(X792)
| ~ m2_nat_lat(X792,X791)
| v3_struct_0(X791)
| ~ v10_lattices(X791)
| ~ l3_lattices(X791) )
& ( l3_lattices(X792)
| ~ m2_nat_lat(X792,X791)
| v3_struct_0(X791)
| ~ v10_lattices(X791)
| ~ l3_lattices(X791) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
cnf(c_0_56,plain,
( v3_struct_0(X1)
| m2_nat_lat(X1,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_57,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_42,c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_58,plain,
! [X720] :
( ( v3_lattices(k1_lattice2(X720))
| ~ l3_lattices(X720) )
& ( l3_lattices(k1_lattice2(X720))
| ~ l3_lattices(X720) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_59,plain,
! [X588] :
( ( u1_struct_0(X588) = u1_struct_0(k1_lattice2(X588))
| v3_struct_0(X588)
| ~ l3_lattices(X588) )
& ( u2_lattices(X588) = u1_lattices(k1_lattice2(X588))
| v3_struct_0(X588)
| ~ l3_lattices(X588) )
& ( u1_lattices(X588) = u2_lattices(k1_lattice2(X588))
| v3_struct_0(X588)
| ~ l3_lattices(X588) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).
fof(c_0_60,plain,
! [X894,X895] :
( ( u1_struct_0(k8_filter_0(X894,X895)) = X895
| ~ m1_filter_0(X895,X894)
| v3_struct_0(X894)
| ~ v10_lattices(X894)
| ~ l3_lattices(X894) )
& ( u2_lattices(k8_filter_0(X894,X895)) = k1_realset1(u2_lattices(X894),X895)
| ~ m1_filter_0(X895,X894)
| v3_struct_0(X894)
| ~ v10_lattices(X894)
| ~ l3_lattices(X894) )
& ( u1_lattices(k8_filter_0(X894,X895)) = k1_realset1(u1_lattices(X894),X895)
| ~ m1_filter_0(X895,X894)
| v3_struct_0(X894)
| ~ v10_lattices(X894)
| ~ l3_lattices(X894) ) ),
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_61,plain,
( v3_struct_0(X1)
| m1_filter_0(k1_filter_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_62,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_46,c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_63,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_64,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_65,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc5_filter_2]) ).
fof(c_0_66,plain,
! [X612,X613] :
( v3_struct_0(X612)
| ~ v10_lattices(X612)
| ~ l3_lattices(X612)
| ~ m1_filter_2(X613,X612)
| k8_filter_0(X612,X613) = k23_filter_2(X612,X613) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
cnf(c_0_67,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_48]) ).
cnf(c_0_68,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_49,c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_69,plain,
! [X816] :
( v3_struct_0(X816)
| ~ v10_lattices(X816)
| ~ l3_lattices(X816)
| m2_lattice4(u1_struct_0(X816),X816) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).
fof(c_0_70,plain,
! [X930,X931] :
( ( ~ v1_xboole_0(X931)
| ~ m1_filter_2(X931,X930)
| v3_struct_0(X930)
| ~ v10_lattices(X930)
| ~ l3_lattices(X930) )
& ( m2_lattice4(X931,X930)
| ~ m1_filter_2(X931,X930)
| v3_struct_0(X930)
| ~ v10_lattices(X930)
| ~ l3_lattices(X930) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
cnf(c_0_71,negated_conjecture,
( 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)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_72,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_lattice2(k1_lattice2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(fof_simplification,[status(thm)],[t7_filter_2]) ).
cnf(c_0_73,plain,
( u2_lattices(X1) = k1_realset1(u2_lattices(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_74,plain,
( l3_lattices(X1)
| v3_struct_0(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_75,plain,
( v10_lattices(X1)
| v3_struct_0(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_76,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m2_nat_lat(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_77,negated_conjecture,
( m2_nat_lat(k1_lattice2(esk1_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_78,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_79,plain,
( u1_lattices(X1) = u2_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_80,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_59]) ).
cnf(c_0_81,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_60]) ).
cnf(c_0_82,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_36]),c_0_62]),c_0_37])]),c_0_38]) ).
fof(c_0_83,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_lattices(X1)
& l3_lattices(X1) )
=> k1_lattice2(k1_lattice2(X1)) = X1 ),
inference(fof_simplification,[status(thm)],[t19_lattice2]) ).
fof(c_0_84,plain,
! [X885,X886] :
( ( ~ v3_struct_0(k8_filter_0(X885,X886))
| v3_struct_0(X885)
| ~ v10_lattices(X885)
| ~ l3_lattices(X885)
| ~ m1_filter_0(X886,X885) )
& ( v3_lattices(k8_filter_0(X885,X886))
| v3_struct_0(X885)
| ~ v10_lattices(X885)
| ~ l3_lattices(X885)
| ~ m1_filter_0(X886,X885) )
& ( v4_lattices(k8_filter_0(X885,X886))
| v3_struct_0(X885)
| ~ v10_lattices(X885)
| ~ l3_lattices(X885)
| ~ m1_filter_0(X886,X885) )
& ( v5_lattices(k8_filter_0(X885,X886))
| v3_struct_0(X885)
| ~ v10_lattices(X885)
| ~ l3_lattices(X885)
| ~ m1_filter_0(X886,X885) )
& ( v6_lattices(k8_filter_0(X885,X886))
| v3_struct_0(X885)
| ~ v10_lattices(X885)
| ~ l3_lattices(X885)
| ~ m1_filter_0(X886,X885) )
& ( v7_lattices(k8_filter_0(X885,X886))
| v3_struct_0(X885)
| ~ v10_lattices(X885)
| ~ l3_lattices(X885)
| ~ m1_filter_0(X886,X885) )
& ( v8_lattices(k8_filter_0(X885,X886))
| v3_struct_0(X885)
| ~ v10_lattices(X885)
| ~ l3_lattices(X885)
| ~ m1_filter_0(X886,X885) )
& ( v9_lattices(k8_filter_0(X885,X886))
| v3_struct_0(X885)
| ~ v10_lattices(X885)
| ~ l3_lattices(X885)
| ~ m1_filter_0(X886,X885) )
& ( v10_lattices(k8_filter_0(X885,X886))
| v3_struct_0(X885)
| ~ v10_lattices(X885)
| ~ l3_lattices(X885)
| ~ m1_filter_0(X886,X885) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_85,plain,
! [X928,X929] :
( ( ~ v3_struct_0(k8_filter_0(X928,X929))
| v3_struct_0(X928)
| ~ v10_lattices(X928)
| ~ l3_lattices(X928)
| ~ m1_filter_0(X929,X928) )
& ( v10_lattices(k8_filter_0(X928,X929))
| v3_struct_0(X928)
| ~ v10_lattices(X928)
| ~ l3_lattices(X928)
| ~ m1_filter_0(X929,X928) )
& ( l3_lattices(k8_filter_0(X928,X929))
| v3_struct_0(X928)
| ~ v10_lattices(X928)
| ~ l3_lattices(X928)
| ~ m1_filter_0(X929,X928) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
fof(c_0_86,plain,
! [X610,X611] :
( ( ~ v3_struct_0(k23_filter_2(X610,X611))
| v3_struct_0(X610)
| ~ v10_lattices(X610)
| ~ l3_lattices(X610)
| v1_xboole_0(X611)
| ~ m2_lattice4(X611,X610) )
& ( v3_lattices(k23_filter_2(X610,X611))
| v3_struct_0(X610)
| ~ v10_lattices(X610)
| ~ l3_lattices(X610)
| v1_xboole_0(X611)
| ~ m2_lattice4(X611,X610) )
& ( v4_lattices(k23_filter_2(X610,X611))
| v3_struct_0(X610)
| ~ v10_lattices(X610)
| ~ l3_lattices(X610)
| v1_xboole_0(X611)
| ~ m2_lattice4(X611,X610) )
& ( v5_lattices(k23_filter_2(X610,X611))
| v3_struct_0(X610)
| ~ v10_lattices(X610)
| ~ l3_lattices(X610)
| v1_xboole_0(X611)
| ~ m2_lattice4(X611,X610) )
& ( v6_lattices(k23_filter_2(X610,X611))
| v3_struct_0(X610)
| ~ v10_lattices(X610)
| ~ l3_lattices(X610)
| v1_xboole_0(X611)
| ~ m2_lattice4(X611,X610) )
& ( v7_lattices(k23_filter_2(X610,X611))
| v3_struct_0(X610)
| ~ v10_lattices(X610)
| ~ l3_lattices(X610)
| v1_xboole_0(X611)
| ~ m2_lattice4(X611,X610) )
& ( v8_lattices(k23_filter_2(X610,X611))
| v3_struct_0(X610)
| ~ v10_lattices(X610)
| ~ l3_lattices(X610)
| v1_xboole_0(X611)
| ~ m2_lattice4(X611,X610) )
& ( v9_lattices(k23_filter_2(X610,X611))
| v3_struct_0(X610)
| ~ v10_lattices(X610)
| ~ l3_lattices(X610)
| v1_xboole_0(X611)
| ~ m2_lattice4(X611,X610) )
& ( v10_lattices(k23_filter_2(X610,X611))
| v3_struct_0(X610)
| ~ v10_lattices(X610)
| ~ l3_lattices(X610)
| v1_xboole_0(X611)
| ~ m2_lattice4(X611,X610) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])]) ).
cnf(c_0_87,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_66]) ).
cnf(c_0_88,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_67,c_0_36]),c_0_68]),c_0_62]),c_0_37])]),c_0_38]) ).
cnf(c_0_89,plain,
( v3_struct_0(X1)
| m2_lattice4(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_90,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m1_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_91,negated_conjecture,
( g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != 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)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[c_0_71,c_0_68]) ).
fof(c_0_92,plain,
! [X592] :
( v3_struct_0(X592)
| ~ v10_lattices(X592)
| ~ l3_lattices(X592)
| k1_lattice2(k1_lattice2(X592)) = g3_lattices(u1_struct_0(X592),u2_lattices(X592),u1_lattices(X592)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])]) ).
cnf(c_0_93,plain,
( k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2)
| v3_struct_0(X1)
| ~ m2_nat_lat(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]) ).
cnf(c_0_94,negated_conjecture,
( m2_nat_lat(k1_lattice2(esk1_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_77,c_0_78]),c_0_37])]) ).
cnf(c_0_95,negated_conjecture,
u2_lattices(k1_lattice2(esk1_0)) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_37]),c_0_38]) ).
cnf(c_0_96,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_37]),c_0_38]) ).
cnf(c_0_97,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)) = u1_lattices(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_81,c_0_82]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_98,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_60]) ).
fof(c_0_99,plain,
! [X719] :
( v3_struct_0(X719)
| ~ v3_lattices(X719)
| ~ l3_lattices(X719)
| k1_lattice2(k1_lattice2(X719)) = X719 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])]) ).
cnf(c_0_100,plain,
( v3_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_84]) ).
cnf(c_0_101,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_85]) ).
cnf(c_0_102,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v3_struct_0(k23_filter_2(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_103,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_87,c_0_88]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_104,negated_conjecture,
m2_lattice4(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_89,c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_105,negated_conjecture,
~ v1_xboole_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_90,c_0_88]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_106,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_91,c_0_62])]) ).
cnf(c_0_107,plain,
( v3_struct_0(X1)
| k1_lattice2(k1_lattice2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_108,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_109,negated_conjecture,
( u1_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u1_lattices(esk1_0)
| v3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_95]),c_0_57])]) ).
cnf(c_0_110,plain,
( u1_struct_0(k8_filter_0(X1,X2)) = X2
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_111,negated_conjecture,
m2_nat_lat(esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_112,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)) = u2_lattices(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_98,c_0_82]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_113,plain,
( v3_struct_0(X1)
| k1_lattice2(k1_lattice2(X1)) = X1
| ~ v3_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_114,negated_conjecture,
v3_lattices(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_100,c_0_82]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_115,negated_conjecture,
l3_lattices(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_101,c_0_82]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_116,negated_conjecture,
~ v3_struct_0(k8_filter_0(esk1_0,u1_struct_0(esk1_0))),
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(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_36]),c_0_37])]),c_0_38]),c_0_105]) ).
cnf(c_0_117,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_84]) ).
cnf(c_0_118,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k8_filter_0(esk1_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_106,c_0_103]) ).
cnf(c_0_119,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = k1_lattice2(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_120,plain,
! [X717] :
( ( ~ v3_struct_0(k1_lattice2(X717))
| v3_struct_0(X717)
| ~ l3_lattices(X717) )
& ( v3_lattices(k1_lattice2(X717))
| v3_struct_0(X717)
| ~ l3_lattices(X717) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])]) ).
cnf(c_0_121,negated_conjecture,
( u1_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u1_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_78]),c_0_37])]) ).
cnf(c_0_122,negated_conjecture,
u1_struct_0(k8_filter_0(esk1_0,u1_struct_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_110,c_0_82]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_123,negated_conjecture,
u2_lattices(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_93,c_0_111]),c_0_112]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_124,negated_conjecture,
k1_lattice2(k1_lattice2(k8_filter_0(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(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115])]),c_0_116]) ).
cnf(c_0_125,negated_conjecture,
v10_lattices(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_117,c_0_82]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_126,negated_conjecture,
k8_filter_0(esk1_0,u1_struct_0(esk1_0)) != k1_lattice2(k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_127,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_128,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_121]),c_0_122]),c_0_123]),c_0_119]),c_0_124]),c_0_125]),c_0_115])]),c_0_126]),c_0_116]) ).
cnf(c_0_129,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_37])]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT332+4 : 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 : n026.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 21:22:58 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 62.87/61.39 % Version : CSE_E---1.7
% 62.87/61.39 % Problem : theBenchmark.p
% 62.87/61.39 % SZS status Theorem for theBenchmark.p
% 62.87/61.39 % SZS output start CNFRefutation
% See solution above
% 62.97/61.40 % Total time : 60.674s
%------------------------------------------------------------------------------