%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT332+3 : 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 : n011.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 10.49s 9.95s
% Output : CNFRefutation 10.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 111 ( 25 unt; 0 def)
% Number of atoms : 577 ( 84 equ)
% Maximal formula atoms : 45 ( 5 avg)
% Number of connectives : 712 ( 246 ~; 258 |; 161 &)
% ( 2 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-3 aty)
% Number of variables : 107 ( 0 sgn 72 !; 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(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(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(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(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(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',abstractness_v3_lattices) ).
fof(c_0_19,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_20,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_21,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_22,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_23,plain,
! [X517] :
( v3_struct_0(X517)
| ~ v10_lattices(X517)
| ~ l3_lattices(X517)
| k17_filter_2(X517) = u1_struct_0(X517) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_24,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_20])])]) ).
fof(c_0_25,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_26,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_27,plain,
! [X748] :
( ( ~ v3_struct_0(k1_lattice2(X748))
| v3_struct_0(X748)
| ~ v10_lattices(X748)
| ~ l3_lattices(X748) )
& ( v3_lattices(k1_lattice2(X748))
| v3_struct_0(X748)
| ~ v10_lattices(X748)
| ~ l3_lattices(X748) )
& ( v4_lattices(k1_lattice2(X748))
| v3_struct_0(X748)
| ~ v10_lattices(X748)
| ~ l3_lattices(X748) )
& ( v5_lattices(k1_lattice2(X748))
| v3_struct_0(X748)
| ~ v10_lattices(X748)
| ~ l3_lattices(X748) )
& ( v6_lattices(k1_lattice2(X748))
| v3_struct_0(X748)
| ~ v10_lattices(X748)
| ~ l3_lattices(X748) )
& ( v7_lattices(k1_lattice2(X748))
| v3_struct_0(X748)
| ~ v10_lattices(X748)
| ~ l3_lattices(X748) )
& ( v8_lattices(k1_lattice2(X748))
| v3_struct_0(X748)
| ~ v10_lattices(X748)
| ~ l3_lattices(X748) )
& ( v9_lattices(k1_lattice2(X748))
| v3_struct_0(X748)
| ~ v10_lattices(X748)
| ~ l3_lattices(X748) )
& ( v10_lattices(k1_lattice2(X748))
| v3_struct_0(X748)
| ~ v10_lattices(X748)
| ~ l3_lattices(X748) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_28,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_29,plain,
! [X819] :
( v3_struct_0(X819)
| ~ v10_lattices(X819)
| ~ l3_lattices(X819)
| k1_filter_0(X819) = u1_struct_0(X819) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
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_23]) ).
cnf(c_0_31,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_34,plain,
! [X515] :
( v3_struct_0(X515)
| ~ v10_lattices(X515)
| ~ l3_lattices(X515)
| k1_filter_2(X515) = k1_filter_0(X515) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
fof(c_0_35,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_36,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_37,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_38,plain,
! [X615] :
( v3_struct_0(X615)
| ~ v10_lattices(X615)
| ~ l3_lattices(X615)
| m2_nat_lat(X615,X615) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
cnf(c_0_39,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_40,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_41,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_42,plain,
! [X826] :
( v3_struct_0(X826)
| ~ v10_lattices(X826)
| ~ l3_lattices(X826)
| m1_filter_0(k1_filter_0(X826),X826) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])]) ).
cnf(c_0_43,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_29]) ).
cnf(c_0_44,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_24]) ).
cnf(c_0_45,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_46,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_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,
! [X514] :
( v3_struct_0(X514)
| ~ v10_lattices(X514)
| ~ l3_lattices(X514)
| m1_filter_2(k1_filter_2(X514),X514) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_49,plain,
! [X613,X614] :
( ( r1_tarski(u1_struct_0(X614),u1_struct_0(X613))
| ~ m2_nat_lat(X614,X613)
| v3_struct_0(X614)
| ~ v10_lattices(X614)
| ~ l3_lattices(X614)
| v3_struct_0(X613)
| ~ v10_lattices(X613)
| ~ l3_lattices(X613) )
& ( u2_lattices(X614) = k1_realset1(u2_lattices(X613),u1_struct_0(X614))
| ~ m2_nat_lat(X614,X613)
| v3_struct_0(X614)
| ~ v10_lattices(X614)
| ~ l3_lattices(X614)
| v3_struct_0(X613)
| ~ v10_lattices(X613)
| ~ l3_lattices(X613) )
& ( u1_lattices(X614) = k1_realset1(u1_lattices(X613),u1_struct_0(X614))
| ~ m2_nat_lat(X614,X613)
| v3_struct_0(X614)
| ~ v10_lattices(X614)
| ~ l3_lattices(X614)
| v3_struct_0(X613)
| ~ v10_lattices(X613)
| ~ l3_lattices(X613) )
& ( ~ r1_tarski(u1_struct_0(X614),u1_struct_0(X613))
| u2_lattices(X614) != k1_realset1(u2_lattices(X613),u1_struct_0(X614))
| u1_lattices(X614) != k1_realset1(u1_lattices(X613),u1_struct_0(X614))
| m2_nat_lat(X614,X613)
| v3_struct_0(X614)
| ~ v10_lattices(X614)
| ~ l3_lattices(X614)
| v3_struct_0(X613)
| ~ v10_lattices(X613)
| ~ l3_lattices(X613) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_50,plain,
! [X616,X617] :
( ( ~ v3_struct_0(X617)
| ~ m2_nat_lat(X617,X616)
| v3_struct_0(X616)
| ~ v10_lattices(X616)
| ~ l3_lattices(X616) )
& ( v10_lattices(X617)
| ~ m2_nat_lat(X617,X616)
| v3_struct_0(X616)
| ~ v10_lattices(X616)
| ~ l3_lattices(X616) )
& ( l3_lattices(X617)
| ~ m2_nat_lat(X617,X616)
| v3_struct_0(X616)
| ~ v10_lattices(X616)
| ~ l3_lattices(X616) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| m2_nat_lat(X1,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52,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_39,c_0_31]),c_0_32])]),c_0_33]) ).
fof(c_0_53,plain,
! [X762] :
( ( v3_lattices(k1_lattice2(X762))
| ~ l3_lattices(X762) )
& ( l3_lattices(k1_lattice2(X762))
| ~ l3_lattices(X762) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_54,plain,
! [X500] :
( ( u1_struct_0(X500) = u1_struct_0(k1_lattice2(X500))
| v3_struct_0(X500)
| ~ l3_lattices(X500) )
& ( u2_lattices(X500) = u1_lattices(k1_lattice2(X500))
| v3_struct_0(X500)
| ~ l3_lattices(X500) )
& ( u1_lattices(X500) = u2_lattices(k1_lattice2(X500))
| v3_struct_0(X500)
| ~ l3_lattices(X500) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_55,plain,
! [X772,X773] :
( ( u1_struct_0(k8_filter_0(X772,X773)) = X773
| ~ m1_filter_0(X773,X772)
| v3_struct_0(X772)
| ~ v10_lattices(X772)
| ~ l3_lattices(X772) )
& ( u2_lattices(k8_filter_0(X772,X773)) = k1_realset1(u2_lattices(X772),X773)
| ~ m1_filter_0(X773,X772)
| v3_struct_0(X772)
| ~ v10_lattices(X772)
| ~ l3_lattices(X772) )
& ( u1_lattices(k8_filter_0(X772,X773)) = k1_realset1(u1_lattices(X772),X773)
| ~ m1_filter_0(X773,X772)
| v3_struct_0(X772)
| ~ v10_lattices(X772)
| ~ l3_lattices(X772) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).
cnf(c_0_56,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_42]) ).
cnf(c_0_57,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_43,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_58,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_44,c_0_45]) ).
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_46,c_0_31]),c_0_32])]),c_0_33]) ).
fof(c_0_60,plain,
! [X512,X513] :
( v3_struct_0(X512)
| ~ v10_lattices(X512)
| ~ l3_lattices(X512)
| ~ m1_filter_2(X513,X512)
| k8_filter_0(X512,X513) = k23_filter_2(X512,X513) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
cnf(c_0_61,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]) ).
fof(c_0_62,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_63,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_49]) ).
cnf(c_0_64,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_50]) ).
cnf(c_0_65,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_50]) ).
cnf(c_0_66,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_50]) ).
cnf(c_0_67,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_51,c_0_52]) ).
cnf(c_0_68,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_69,plain,
( u1_lattices(X1) = u2_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_70,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_54]) ).
cnf(c_0_71,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_55]) ).
cnf(c_0_72,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_56,c_0_31]),c_0_57]),c_0_32])]),c_0_33]) ).
fof(c_0_73,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_74,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]) ).
cnf(c_0_75,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_58,c_0_59]) ).
cnf(c_0_76,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_60]) ).
cnf(c_0_77,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_61,c_0_31]),c_0_59]),c_0_57]),c_0_32])]),c_0_33]) ).
fof(c_0_78,plain,
! [X499] :
( v3_struct_0(X499)
| ~ v10_lattices(X499)
| ~ l3_lattices(X499)
| k1_lattice2(k1_lattice2(X499)) = g3_lattices(u1_struct_0(X499),u2_lattices(X499),u1_lattices(X499)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
cnf(c_0_79,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_63,c_0_64]),c_0_65]),c_0_66]) ).
cnf(c_0_80,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_67,c_0_68]),c_0_32])]) ).
cnf(c_0_81,negated_conjecture,
u2_lattices(k1_lattice2(esk1_0)) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_32]),c_0_33]) ).
cnf(c_0_82,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_32]),c_0_33]) ).
cnf(c_0_83,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_71,c_0_72]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_84,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_55]) ).
fof(c_0_85,plain,
! [X763,X764] :
( ( ~ v3_struct_0(k8_filter_0(X763,X764))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763)
| ~ m1_filter_0(X764,X763) )
& ( v3_lattices(k8_filter_0(X763,X764))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763)
| ~ m1_filter_0(X764,X763) )
& ( v4_lattices(k8_filter_0(X763,X764))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763)
| ~ m1_filter_0(X764,X763) )
& ( v5_lattices(k8_filter_0(X763,X764))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763)
| ~ m1_filter_0(X764,X763) )
& ( v6_lattices(k8_filter_0(X763,X764))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763)
| ~ m1_filter_0(X764,X763) )
& ( v7_lattices(k8_filter_0(X763,X764))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763)
| ~ m1_filter_0(X764,X763) )
& ( v8_lattices(k8_filter_0(X763,X764))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763)
| ~ m1_filter_0(X764,X763) )
& ( v9_lattices(k8_filter_0(X763,X764))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763)
| ~ m1_filter_0(X764,X763) )
& ( v10_lattices(k8_filter_0(X763,X764))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763)
| ~ m1_filter_0(X764,X763) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])]) ).
fof(c_0_86,plain,
! [X802,X803] :
( ( ~ v3_struct_0(k8_filter_0(X802,X803))
| v3_struct_0(X802)
| ~ v10_lattices(X802)
| ~ l3_lattices(X802)
| ~ m1_filter_0(X803,X802) )
& ( v10_lattices(k8_filter_0(X802,X803))
| v3_struct_0(X802)
| ~ v10_lattices(X802)
| ~ l3_lattices(X802)
| ~ m1_filter_0(X803,X802) )
& ( l3_lattices(k8_filter_0(X802,X803))
| v3_struct_0(X802)
| ~ v10_lattices(X802)
| ~ l3_lattices(X802)
| ~ m1_filter_0(X803,X802) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])]) ).
cnf(c_0_87,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_75,c_0_57])]) ).
cnf(c_0_88,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_76,c_0_77]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_89,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_78]) ).
fof(c_0_90,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_91,plain,
! [X756] :
( ~ l3_lattices(X756)
| ~ v3_lattices(X756)
| X756 = g3_lattices(u1_struct_0(X756),u2_lattices(X756),u1_lattices(X756)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
cnf(c_0_92,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_79,c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_81]),c_0_52])]) ).
cnf(c_0_93,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_55]) ).
cnf(c_0_94,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_51,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_95,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_84,c_0_72]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_96,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_85]) ).
cnf(c_0_97,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_86]) ).
cnf(c_0_98,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_87,c_0_88]) ).
cnf(c_0_99,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_89,c_0_31]),c_0_32])]),c_0_33]) ).
fof(c_0_100,plain,
! [X760] :
( ( ~ v3_struct_0(k1_lattice2(X760))
| v3_struct_0(X760)
| ~ l3_lattices(X760) )
& ( v3_lattices(k1_lattice2(X760))
| v3_struct_0(X760)
| ~ l3_lattices(X760) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).
cnf(c_0_101,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_102,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_92,c_0_68]),c_0_32])]) ).
cnf(c_0_103,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_93,c_0_72]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_104,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_79,c_0_94]),c_0_95]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_105,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_96,c_0_72]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_106,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_97,c_0_72]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_107,negated_conjecture,
k8_filter_0(esk1_0,u1_struct_0(esk1_0)) != k1_lattice2(k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_108,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_109,negated_conjecture,
v3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104]),c_0_99]),c_0_105]),c_0_106])]),c_0_107]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_32])]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT332+3 : TPTP v9.2.1. Released v3.4.0.
% 0.11/0.12 % 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
% 0.16/0.34 % Computer : n011.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 21:22:19 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.20/0.35 % start to proof: theBenchmark
% 10.49/9.95 % Version : CSE_E---1.7
% 10.49/9.95 % Problem : theBenchmark.p
% 10.49/9.95 % SZS status Theorem for theBenchmark.p
% 10.49/9.95 % SZS output start CNFRefutation
% See solution above
% 10.49/9.96 % Total time : 9.353s
%------------------------------------------------------------------------------