TSTP Solution File: LAT337+3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LAT337+3 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 : Mon May 20 23:24:48 EDT 2024
% Result : Theorem 11.64s 2.19s
% Output : CNFRefutation 11.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 19 unt; 0 def)
% Number of atoms : 661 ( 6 equ)
% Maximal formula atoms : 65 ( 8 avg)
% Number of connectives : 913 ( 331 ~; 351 |; 177 &)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 107 ( 1 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k22_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(t87_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_filter_2) ).
fof(t64_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X2,k22_filter_2(X1,X2,X3))
& r2_hidden(X3,k22_filter_2(X1,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_filter_2) ).
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(t86_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_filter_2) ).
fof(cc5_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc5_lattices) ).
fof(t78_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_filter_2) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(cc7_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc7_lattices) ).
fof(cc6_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc6_lattices) ).
fof(t84_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& k6_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X3
& k5_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_filter_2) ).
fof(c_0_11,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k22_filter_2]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t87_filter_2])]) ).
fof(c_0_13,plain,
! [X39,X40,X41] :
( ( ~ v1_xboole_0(k22_filter_2(X39,X40,X41))
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39)
| ~ m1_subset_1(X40,u1_struct_0(X39))
| ~ m1_subset_1(X41,u1_struct_0(X39)) )
& ( m2_lattice4(k22_filter_2(X39,X40,X41),X39)
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39)
| ~ m1_subset_1(X40,u1_struct_0(X39))
| ~ m1_subset_1(X41,u1_struct_0(X39)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_14,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& r3_lattices(esk1_0,esk2_0,esk3_0)
& ( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X2,k22_filter_2(X1,X2,X3))
& r2_hidden(X3,k22_filter_2(X1,X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t64_filter_2]) ).
fof(c_0_16,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]) ).
cnf(c_0_17,plain,
( m2_lattice4(k22_filter_2(X1,X2,X3),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,plain,
! [X46,X47,X48] :
( ( r2_hidden(X47,k22_filter_2(X46,X47,X48))
| ~ r3_lattices(X46,X47,X48)
| ~ m1_subset_1(X48,u1_struct_0(X46))
| ~ m1_subset_1(X47,u1_struct_0(X46))
| v3_struct_0(X46)
| ~ v10_lattices(X46)
| ~ l3_lattices(X46) )
& ( r2_hidden(X48,k22_filter_2(X46,X47,X48))
| ~ r3_lattices(X46,X47,X48)
| ~ m1_subset_1(X48,u1_struct_0(X46))
| ~ m1_subset_1(X47,u1_struct_0(X46))
| v3_struct_0(X46)
| ~ v10_lattices(X46)
| ~ l3_lattices(X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t86_filter_2]) ).
fof(c_0_24,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_lattices]) ).
fof(c_0_25,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t78_filter_2]) ).
fof(c_0_26,plain,
! [X19,X20] :
( ( ~ v3_struct_0(k23_filter_2(X19,X20))
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19)
| v1_xboole_0(X20)
| ~ m2_lattice4(X20,X19) )
& ( v3_lattices(k23_filter_2(X19,X20))
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19)
| v1_xboole_0(X20)
| ~ m2_lattice4(X20,X19) )
& ( v4_lattices(k23_filter_2(X19,X20))
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19)
| v1_xboole_0(X20)
| ~ m2_lattice4(X20,X19) )
& ( v5_lattices(k23_filter_2(X19,X20))
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19)
| v1_xboole_0(X20)
| ~ m2_lattice4(X20,X19) )
& ( v6_lattices(k23_filter_2(X19,X20))
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19)
| v1_xboole_0(X20)
| ~ m2_lattice4(X20,X19) )
& ( v7_lattices(k23_filter_2(X19,X20))
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19)
| v1_xboole_0(X20)
| ~ m2_lattice4(X20,X19) )
& ( v8_lattices(k23_filter_2(X19,X20))
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19)
| v1_xboole_0(X20)
| ~ m2_lattice4(X20,X19) )
& ( v9_lattices(k23_filter_2(X19,X20))
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19)
| v1_xboole_0(X20)
| ~ m2_lattice4(X20,X19) )
& ( v10_lattices(k23_filter_2(X19,X20))
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19)
| v1_xboole_0(X20)
| ~ m2_lattice4(X20,X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_27,negated_conjecture,
( m2_lattice4(k22_filter_2(esk1_0,X1,esk3_0),esk1_0)
| ~ m1_subset_1(X1,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_17,c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_28,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_29,plain,
! [X139,X140] :
( ~ r2_hidden(X139,X140)
| ~ v1_xboole_0(X140) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_30,plain,
( r2_hidden(X1,k22_filter_2(X2,X3,X1))
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_32,plain,
! [X59,X60,X61] :
( ( ~ v3_struct_0(k23_filter_2(X59,k22_filter_2(X59,X60,X61)))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ v15_lattices(X59)
| ~ v16_lattices(X59)
| ~ l3_lattices(X59)
| ~ v12_lattices(X59)
| ~ r3_lattices(X59,X60,X61)
| ~ m1_subset_1(X61,u1_struct_0(X59))
| ~ m1_subset_1(X60,u1_struct_0(X59))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ l3_lattices(X59) )
& ( v10_lattices(k23_filter_2(X59,k22_filter_2(X59,X60,X61)))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ v15_lattices(X59)
| ~ v16_lattices(X59)
| ~ l3_lattices(X59)
| ~ v12_lattices(X59)
| ~ r3_lattices(X59,X60,X61)
| ~ m1_subset_1(X61,u1_struct_0(X59))
| ~ m1_subset_1(X60,u1_struct_0(X59))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ l3_lattices(X59) )
& ( v15_lattices(k23_filter_2(X59,k22_filter_2(X59,X60,X61)))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ v15_lattices(X59)
| ~ v16_lattices(X59)
| ~ l3_lattices(X59)
| ~ v12_lattices(X59)
| ~ r3_lattices(X59,X60,X61)
| ~ m1_subset_1(X61,u1_struct_0(X59))
| ~ m1_subset_1(X60,u1_struct_0(X59))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ l3_lattices(X59) )
& ( v16_lattices(k23_filter_2(X59,k22_filter_2(X59,X60,X61)))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ v15_lattices(X59)
| ~ v16_lattices(X59)
| ~ l3_lattices(X59)
| ~ v12_lattices(X59)
| ~ r3_lattices(X59,X60,X61)
| ~ m1_subset_1(X61,u1_struct_0(X59))
| ~ m1_subset_1(X60,u1_struct_0(X59))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ l3_lattices(X59) )
& ( l3_lattices(k23_filter_2(X59,k22_filter_2(X59,X60,X61)))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ v15_lattices(X59)
| ~ v16_lattices(X59)
| ~ l3_lattices(X59)
| ~ v12_lattices(X59)
| ~ r3_lattices(X59,X60,X61)
| ~ m1_subset_1(X61,u1_struct_0(X59))
| ~ m1_subset_1(X60,u1_struct_0(X59))
| v3_struct_0(X59)
| ~ v10_lattices(X59)
| ~ l3_lattices(X59) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).
fof(c_0_33,plain,
! [X410] :
( ( ~ v3_struct_0(X410)
| v3_struct_0(X410)
| ~ v17_lattices(X410)
| ~ l3_lattices(X410) )
& ( v11_lattices(X410)
| v3_struct_0(X410)
| ~ v17_lattices(X410)
| ~ l3_lattices(X410) )
& ( v13_lattices(X410)
| v3_struct_0(X410)
| ~ v17_lattices(X410)
| ~ l3_lattices(X410) )
& ( v14_lattices(X410)
| v3_struct_0(X410)
| ~ v17_lattices(X410)
| ~ l3_lattices(X410) )
& ( v15_lattices(X410)
| v3_struct_0(X410)
| ~ v17_lattices(X410)
| ~ l3_lattices(X410) )
& ( v16_lattices(X410)
| v3_struct_0(X410)
| ~ v17_lattices(X410)
| ~ l3_lattices(X410) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_34,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc7_lattices]) ).
fof(c_0_35,plain,
! [X37,X38] :
( v3_struct_0(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37)
| v1_xboole_0(X38)
| ~ m2_lattice4(X38,X37)
| ~ v11_lattices(X37)
| v11_lattices(k23_filter_2(X37,X38)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
cnf(c_0_36,plain,
( v10_lattices(k23_filter_2(X1,X2))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,negated_conjecture,
m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
r2_hidden(esk3_0,k22_filter_2(esk1_0,esk2_0,esk3_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(spm,[status(thm)],[c_0_30,c_0_31]),c_0_19]),c_0_20]),c_0_28]),c_0_18])]),c_0_21]) ).
cnf(c_0_40,plain,
( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_44,plain,
! [X423] :
( ( ~ v3_struct_0(X423)
| v3_struct_0(X423)
| ~ v10_lattices(X423)
| ~ v11_lattices(X423)
| ~ l3_lattices(X423) )
& ( v4_lattices(X423)
| v3_struct_0(X423)
| ~ v10_lattices(X423)
| ~ v11_lattices(X423)
| ~ l3_lattices(X423) )
& ( v5_lattices(X423)
| v3_struct_0(X423)
| ~ v10_lattices(X423)
| ~ v11_lattices(X423)
| ~ l3_lattices(X423) )
& ( v6_lattices(X423)
| v3_struct_0(X423)
| ~ v10_lattices(X423)
| ~ v11_lattices(X423)
| ~ l3_lattices(X423) )
& ( v7_lattices(X423)
| v3_struct_0(X423)
| ~ v10_lattices(X423)
| ~ v11_lattices(X423)
| ~ l3_lattices(X423) )
& ( v8_lattices(X423)
| v3_struct_0(X423)
| ~ v10_lattices(X423)
| ~ v11_lattices(X423)
| ~ l3_lattices(X423) )
& ( v9_lattices(X423)
| v3_struct_0(X423)
| ~ v10_lattices(X423)
| ~ v11_lattices(X423)
| ~ l3_lattices(X423) )
& ( v10_lattices(X423)
| v3_struct_0(X423)
| ~ v10_lattices(X423)
| ~ v11_lattices(X423)
| ~ l3_lattices(X423) )
& ( v12_lattices(X423)
| v3_struct_0(X423)
| ~ v10_lattices(X423)
| ~ v11_lattices(X423)
| ~ l3_lattices(X423) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
cnf(c_0_45,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_46,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_lattices]) ).
cnf(c_0_47,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v11_lattices(k23_filter_2(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,negated_conjecture,
( v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_49,negated_conjecture,
~ v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v12_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_40]) ).
cnf(c_0_51,negated_conjecture,
v16_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_20])]),c_0_21]) ).
cnf(c_0_52,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_20])]),c_0_21]) ).
cnf(c_0_53,plain,
( v12_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_55,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v12_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(cn,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_57,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& k6_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X3
& k5_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t84_filter_2]) ).
fof(c_0_58,plain,
! [X411] :
( ( ~ v3_struct_0(X411)
| v3_struct_0(X411)
| ~ v11_lattices(X411)
| ~ v15_lattices(X411)
| ~ v16_lattices(X411)
| ~ l3_lattices(X411) )
& ( v17_lattices(X411)
| v3_struct_0(X411)
| ~ v11_lattices(X411)
| ~ v15_lattices(X411)
| ~ v16_lattices(X411)
| ~ l3_lattices(X411) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
cnf(c_0_59,negated_conjecture,
( v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| ~ v11_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_37]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_60,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_61,negated_conjecture,
v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
inference(sr,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_62,negated_conjecture,
( l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_51]),c_0_52]),c_0_19]),c_0_20]),c_0_18]),c_0_28])]),c_0_21]) ).
cnf(c_0_63,plain,
( v12_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_64,negated_conjecture,
( ~ v12_lattices(esk1_0)
| ~ v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_31]),c_0_51]),c_0_52]),c_0_19]),c_0_20]),c_0_18]),c_0_28])]),c_0_21]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v12_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_56]) ).
fof(c_0_66,plain,
! [X56,X57,X58] :
( ( v15_lattices(k23_filter_2(X56,k22_filter_2(X56,X57,X58)))
| ~ r3_lattices(X56,X57,X58)
| ~ m1_subset_1(X58,u1_struct_0(X56))
| ~ m1_subset_1(X57,u1_struct_0(X56))
| v3_struct_0(X56)
| ~ v10_lattices(X56)
| ~ l3_lattices(X56) )
& ( k6_lattices(k23_filter_2(X56,k22_filter_2(X56,X57,X58))) = X58
| ~ r3_lattices(X56,X57,X58)
| ~ m1_subset_1(X58,u1_struct_0(X56))
| ~ m1_subset_1(X57,u1_struct_0(X56))
| v3_struct_0(X56)
| ~ v10_lattices(X56)
| ~ l3_lattices(X56) )
& ( k5_lattices(k23_filter_2(X56,k22_filter_2(X56,X57,X58))) = X57
| ~ r3_lattices(X56,X57,X58)
| ~ m1_subset_1(X58,u1_struct_0(X56))
| ~ m1_subset_1(X57,u1_struct_0(X56))
| v3_struct_0(X56)
| ~ v10_lattices(X56)
| ~ l3_lattices(X56) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])]) ).
cnf(c_0_67,plain,
( v17_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,negated_conjecture,
( v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_54]),c_0_42]),c_0_20])]),c_0_21]) ).
cnf(c_0_69,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_70,negated_conjecture,
l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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_62,c_0_63]),c_0_42]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_71,negated_conjecture,
~ v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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_64,c_0_63]),c_0_42]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_72,negated_conjecture,
( v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v12_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_31]),c_0_51]),c_0_52]),c_0_19]),c_0_20]),c_0_18]),c_0_28])]),c_0_21]) ).
cnf(c_0_73,plain,
( v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0))
| ~ v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]),c_0_71]) ).
cnf(c_0_76,negated_conjecture,
v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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_72,c_0_63]),c_0_42]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_77,negated_conjecture,
v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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(spm,[status(thm)],[c_0_73,c_0_31]),c_0_19]),c_0_20]),c_0_18]),c_0_28])]),c_0_21]) ).
cnf(c_0_78,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_74,c_0_75,c_0_71,c_0_49,c_0_76,c_0_70,c_0_77]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LAT337+3 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 19:44:24 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.38 Running first-order theorem proving
% 0.15/0.38 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.64/2.19 # Version: 3.1.0
% 11.64/2.19 # Preprocessing class: FMLLSMLLSSSNFFN.
% 11.64/2.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.64/2.19 # Starting new_bool_3 with 900s (3) cores
% 11.64/2.19 # Starting new_bool_1 with 900s (3) cores
% 11.64/2.19 # Starting sh5l with 300s (1) cores
% 11.64/2.19 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 11.64/2.19 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 12896 completed with status 0
% 11.64/2.19 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 11.64/2.19 # Preprocessing class: FMLLSMLLSSSNFFN.
% 11.64/2.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.64/2.19 # Starting new_bool_3 with 900s (3) cores
% 11.64/2.19 # Starting new_bool_1 with 900s (3) cores
% 11.64/2.19 # Starting sh5l with 300s (1) cores
% 11.64/2.19 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 11.64/2.19 # SinE strategy is gf120_gu_R02_F100_L20000
% 11.64/2.19 # Search class: FGHSM-FSLM31-MFFFFFNN
% 11.64/2.19 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 11.64/2.19 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 11.64/2.19 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 12897 completed with status 0
% 11.64/2.19 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 11.64/2.19 # Preprocessing class: FMLLSMLLSSSNFFN.
% 11.64/2.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.64/2.19 # Starting new_bool_3 with 900s (3) cores
% 11.64/2.19 # Starting new_bool_1 with 900s (3) cores
% 11.64/2.19 # Starting sh5l with 300s (1) cores
% 11.64/2.19 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 11.64/2.19 # SinE strategy is gf120_gu_R02_F100_L20000
% 11.64/2.19 # Search class: FGHSM-FSLM31-MFFFFFNN
% 11.64/2.19 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 11.64/2.19 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 11.64/2.19 # Preprocessing time : 0.021 s
% 11.64/2.19 # Presaturation interreduction done
% 11.64/2.19 # SatCheck found unsatisfiable ground set
% 11.64/2.19
% 11.64/2.19 # Proof found!
% 11.64/2.19 # SZS status Theorem
% 11.64/2.19 # SZS output start CNFRefutation
% See solution above
% 11.64/2.19 # Parsed axioms : 13685
% 11.64/2.19 # Removed by relevancy pruning/SinE : 13499
% 11.64/2.19 # Initial clauses : 631
% 11.64/2.19 # Removed in clause preprocessing : 25
% 11.64/2.19 # Initial clauses in saturation : 606
% 11.64/2.19 # Processed clauses : 10051
% 11.64/2.19 # ...of these trivial : 40
% 11.64/2.19 # ...subsumed : 5011
% 11.64/2.19 # ...remaining for further processing : 5000
% 11.64/2.19 # Other redundant clauses eliminated : 127
% 11.64/2.19 # Clauses deleted for lack of memory : 0
% 11.64/2.19 # Backward-subsumed : 343
% 11.64/2.19 # Backward-rewritten : 292
% 11.64/2.19 # Generated clauses : 62697
% 11.64/2.19 # ...of the previous two non-redundant : 60919
% 11.64/2.19 # ...aggressively subsumed : 0
% 11.64/2.19 # Contextual simplify-reflections : 88
% 11.64/2.19 # Paramodulations : 62536
% 11.64/2.19 # Factorizations : 2
% 11.64/2.19 # NegExts : 0
% 11.64/2.19 # Equation resolutions : 132
% 11.64/2.19 # Disequality decompositions : 0
% 11.64/2.19 # Total rewrite steps : 43959
% 11.64/2.19 # ...of those cached : 43294
% 11.64/2.19 # Propositional unsat checks : 1
% 11.64/2.19 # Propositional check models : 0
% 11.64/2.19 # Propositional check unsatisfiable : 1
% 11.64/2.19 # Propositional clauses : 55602
% 11.64/2.19 # Propositional clauses after purity: 2889
% 11.64/2.19 # Propositional unsat core size : 7
% 11.64/2.19 # Propositional preprocessing time : 0.000
% 11.64/2.19 # Propositional encoding time : 0.043
% 11.64/2.19 # Propositional solver time : 0.006
% 11.64/2.19 # Success case prop preproc time : 0.000
% 11.64/2.19 # Success case prop encoding time : 0.043
% 11.64/2.19 # Success case prop solver time : 0.006
% 11.64/2.19 # Current number of processed clauses : 3797
% 11.64/2.19 # Positive orientable unit clauses : 1023
% 11.64/2.19 # Positive unorientable unit clauses: 0
% 11.64/2.19 # Negative unit clauses : 345
% 11.64/2.19 # Non-unit-clauses : 2429
% 11.64/2.19 # Current number of unprocessed clauses: 51805
% 11.64/2.19 # ...number of literals in the above : 198493
% 11.64/2.19 # Current number of archived formulas : 0
% 11.64/2.19 # Current number of archived clauses : 1198
% 11.64/2.19 # Clause-clause subsumption calls (NU) : 663668
% 11.64/2.19 # Rec. Clause-clause subsumption calls : 219026
% 11.64/2.19 # Non-unit clause-clause subsumptions : 1821
% 11.64/2.19 # Unit Clause-clause subsumption calls : 155066
% 11.64/2.19 # Rewrite failures with RHS unbound : 0
% 11.64/2.19 # BW rewrite match attempts : 7232
% 11.64/2.19 # BW rewrite match successes : 194
% 11.64/2.19 # Condensation attempts : 0
% 11.64/2.19 # Condensation successes : 0
% 11.64/2.19 # Termbank termtop insertions : 2027776
% 11.64/2.19 # Search garbage collected termcells : 125376
% 11.64/2.19
% 11.64/2.19 # -------------------------------------------------
% 11.64/2.19 # User time : 1.398 s
% 11.64/2.19 # System time : 0.083 s
% 11.64/2.19 # Total time : 1.481 s
% 11.64/2.19 # Maximum resident set size: 26100 pages
% 11.64/2.19
% 11.64/2.19 # -------------------------------------------------
% 11.64/2.19 # User time : 1.670 s
% 11.64/2.19 # System time : 0.096 s
% 11.64/2.19 # Total time : 1.767 s
% 11.64/2.19 # Maximum resident set size: 20140 pages
% 11.64/2.19 % E---3.1 exiting
% 11.64/2.19 % E exiting
%------------------------------------------------------------------------------