%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT331+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:57 PM UTC 2026
% Result : Theorem 98.78s 14.50s
% Output : CNFRefutation 98.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 108 ( 58 unt; 0 def)
% Number of atoms : 462 ( 77 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 540 ( 186 ~; 190 |; 119 &)
% ( 4 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 89 ( 0 sgn 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t68_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,X2)
=> ( ( X3 = X4
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_filter_2) ).
fof(t15_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t15_filter_0) ).
fof(d16_nat_lat,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ( m2_nat_lat(X2,X1)
<=> ( u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2))
& u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
& r1_tarski(u1_struct_0(X2),u1_struct_0(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+297.ax',d16_nat_lat) ).
fof(dt_m2_nat_lat,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+297.ax',dt_m2_nat_lat) ).
fof(t75_nat_lat,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_nat_lat(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+297.ax',t75_nat_lat) ).
fof(t7_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k1_lattice2(k1_lattice2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_filter_2) ).
fof(t63_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
& u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
& u1_struct_0(k8_filter_0(X1,X2)) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t63_filter_0) ).
fof(dt_k8_filter_0,axiom,
! [X1,X2] :
( ( m1_filter_0(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( l3_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& ~ v3_struct_0(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',dt_k8_filter_0) ).
fof(fc2_filter_0,axiom,
! [X1,X2] :
( ( m1_filter_0(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& ~ v3_struct_0(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',fc2_filter_0) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',abstractness_v3_lattices) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,X2)
=> ( ( X3 = X4
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t68_filter_2]) ).
fof(c_0_12,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,X2)
=> ( ( X3 = X4
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ( m2_nat_lat(X2,X1)
<=> ( u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2))
& u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
& r1_tarski(u1_struct_0(X2),u1_struct_0(X1)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d16_nat_lat]) ).
fof(c_0_15,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_nat_lat]) ).
fof(c_0_16,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_nat_lat(X1,X1) ),
inference(fof_simplification,[status(thm)],[t75_nat_lat]) ).
fof(c_0_17,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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]) ).
fof(c_0_18,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
& u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
& u1_struct_0(k8_filter_0(X1,X2)) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t63_filter_0]) ).
fof(c_0_19,plain,
! [X148] :
( m1_filter_0(u1_struct_0(X148),X148)
| ~ l3_lattices(X148)
| ~ v10_lattices(X148)
| v3_struct_0(X148) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_20,negated_conjecture,
( k8_filter_0(esk1_0,esk3_0) != k8_filter_0(esk2_0,esk4_0)
& esk3_0 = esk4_0
& g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
& m1_filter_2(esk4_0,esk2_0)
& m1_filter_2(esk3_0,esk1_0)
& l3_lattices(esk2_0)
& v10_lattices(esk2_0)
& ~ v3_struct_0(esk2_0)
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_21,plain,
! [X128,X129] :
( ( ~ l3_lattices(X128)
| ~ v10_lattices(X128)
| v3_struct_0(X128)
| ~ l3_lattices(X129)
| ~ v10_lattices(X129)
| v3_struct_0(X129)
| m2_nat_lat(X129,X128)
| u1_lattices(X129) != k1_realset1(u1_lattices(X128),u1_struct_0(X129))
| u2_lattices(X129) != k1_realset1(u2_lattices(X128),u1_struct_0(X129))
| ~ r1_tarski(u1_struct_0(X129),u1_struct_0(X128)) )
& ( ~ l3_lattices(X128)
| ~ v10_lattices(X128)
| v3_struct_0(X128)
| ~ l3_lattices(X129)
| ~ v10_lattices(X129)
| v3_struct_0(X129)
| ~ m2_nat_lat(X129,X128)
| u1_lattices(X129) = k1_realset1(u1_lattices(X128),u1_struct_0(X129)) )
& ( ~ l3_lattices(X128)
| ~ v10_lattices(X128)
| v3_struct_0(X128)
| ~ l3_lattices(X129)
| ~ v10_lattices(X129)
| v3_struct_0(X129)
| ~ m2_nat_lat(X129,X128)
| u2_lattices(X129) = k1_realset1(u2_lattices(X128),u1_struct_0(X129)) )
& ( ~ l3_lattices(X128)
| ~ v10_lattices(X128)
| v3_struct_0(X128)
| ~ l3_lattices(X129)
| ~ v10_lattices(X129)
| v3_struct_0(X129)
| ~ m2_nat_lat(X129,X128)
| r1_tarski(u1_struct_0(X129),u1_struct_0(X128)) ) ),
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_14])])])])]) ).
fof(c_0_22,plain,
! [X2400,X2401] :
( ( ~ l3_lattices(X2400)
| ~ v10_lattices(X2400)
| v3_struct_0(X2400)
| ~ m2_nat_lat(X2401,X2400)
| l3_lattices(X2401) )
& ( ~ l3_lattices(X2400)
| ~ v10_lattices(X2400)
| v3_struct_0(X2400)
| ~ m2_nat_lat(X2401,X2400)
| v10_lattices(X2401) )
& ( ~ l3_lattices(X2400)
| ~ v10_lattices(X2400)
| v3_struct_0(X2400)
| ~ m2_nat_lat(X2401,X2400)
| ~ v3_struct_0(X2401) ) ),
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,
! [X2399] :
( m2_nat_lat(X2399,X2399)
| ~ l3_lattices(X2399)
| ~ v10_lattices(X2399)
| v3_struct_0(X2399) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_24,plain,
! [X1,X2] :
( ( m1_filter_0(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( l3_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& ~ v3_struct_0(k8_filter_0(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_0]) ).
fof(c_0_25,plain,
! [X82] :
( k1_lattice2(k1_lattice2(X82)) = g3_lattices(u1_struct_0(X82),u2_lattices(X82),u1_lattices(X82))
| ~ l3_lattices(X82)
| ~ v10_lattices(X82)
| v3_struct_0(X82) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_26,plain,
! [X1,X2] :
( ( m1_filter_0(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& ~ v3_struct_0(k8_filter_0(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc2_filter_0]) ).
fof(c_0_27,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_28,plain,
! [X28,X29] :
( ( ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| ~ m1_filter_0(X29,X28)
| u1_lattices(k8_filter_0(X28,X29)) = k1_realset1(u1_lattices(X28),X29) )
& ( ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| ~ m1_filter_0(X29,X28)
| u2_lattices(k8_filter_0(X28,X29)) = k1_realset1(u2_lattices(X28),X29) )
& ( ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| ~ m1_filter_0(X29,X28)
| u1_struct_0(k8_filter_0(X28,X29)) = X29 ) ),
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_18])])])])]) ).
cnf(c_0_29,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,negated_conjecture,
v10_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| u1_lattices(X1) = k1_realset1(u1_lattices(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_nat_lat(X1,X2)
| v3_struct_0(X2)
| l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_nat_lat(X1,X2)
| v3_struct_0(X2)
| v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_37,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_nat_lat(X1,X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_38,plain,
! [X62,X63] :
( ( ~ m1_filter_0(X63,X62)
| ~ l3_lattices(X62)
| ~ v10_lattices(X62)
| v3_struct_0(X62)
| l3_lattices(k8_filter_0(X62,X63)) )
& ( ~ m1_filter_0(X63,X62)
| ~ l3_lattices(X62)
| ~ v10_lattices(X62)
| v3_struct_0(X62)
| v10_lattices(k8_filter_0(X62,X63)) )
& ( ~ m1_filter_0(X63,X62)
| ~ l3_lattices(X62)
| ~ v10_lattices(X62)
| v3_struct_0(X62)
| ~ v3_struct_0(k8_filter_0(X62,X63)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_39,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| u2_lattices(X1) = k1_realset1(u2_lattices(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k1_lattice2(k1_lattice2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_42,plain,
! [X18,X19] :
( ( ~ m1_filter_0(X19,X18)
| ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v10_lattices(k8_filter_0(X18,X19)) )
& ( ~ m1_filter_0(X19,X18)
| ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v9_lattices(k8_filter_0(X18,X19)) )
& ( ~ m1_filter_0(X19,X18)
| ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v8_lattices(k8_filter_0(X18,X19)) )
& ( ~ m1_filter_0(X19,X18)
| ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v7_lattices(k8_filter_0(X18,X19)) )
& ( ~ m1_filter_0(X19,X18)
| ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v6_lattices(k8_filter_0(X18,X19)) )
& ( ~ m1_filter_0(X19,X18)
| ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v5_lattices(k8_filter_0(X18,X19)) )
& ( ~ m1_filter_0(X19,X18)
| ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v4_lattices(k8_filter_0(X18,X19)) )
& ( ~ m1_filter_0(X19,X18)
| ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v3_lattices(k8_filter_0(X18,X19)) )
& ( ~ m1_filter_0(X19,X18)
| ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ v3_struct_0(k8_filter_0(X18,X19)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_43,plain,
! [X155,X156] :
( ( ~ l3_lattices(X155)
| ~ v10_lattices(X155)
| v3_struct_0(X155)
| m1_filter_2(X156,X155)
| ~ m1_filter_0(X156,X155) )
& ( ~ l3_lattices(X155)
| ~ v10_lattices(X155)
| v3_struct_0(X155)
| m1_filter_0(X156,X155)
| ~ m1_filter_2(X156,X155) ) ),
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_27])])])])]) ).
cnf(c_0_44,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_46,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_47,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| v3_struct_0(X1)
| u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_48,negated_conjecture,
m1_filter_0(u1_struct_0(esk2_0),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_49,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1)
| v3_struct_0(X1)
| k1_realset1(u1_lattices(X1),u1_struct_0(X2)) = u1_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_50,negated_conjecture,
m2_nat_lat(esk2_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_31])]),c_0_32]) ).
fof(c_0_51,plain,
! [X67] :
( X67 = g3_lattices(u1_struct_0(X67),u2_lattices(X67),u1_lattices(X67))
| ~ v3_lattices(X67)
| ~ l3_lattices(X67) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
cnf(c_0_52,plain,
( ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_53,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| v3_struct_0(X1)
| u1_struct_0(k8_filter_0(X1,X2)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_54,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| v3_struct_0(X1)
| u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_55,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1)
| v3_struct_0(X1)
| k1_realset1(u2_lattices(X1),u1_struct_0(X2)) = u2_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_39,c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_56,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = k1_lattice2(k1_lattice2(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_30]),c_0_41]),c_0_31])]),c_0_32]) ).
cnf(c_0_57,plain,
( ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v3_lattices(k8_filter_0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_58,negated_conjecture,
m1_filter_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_59,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_60,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_61,negated_conjecture,
m1_filter_2(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_62,negated_conjecture,
m1_filter_0(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_63,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_37,c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_64,negated_conjecture,
u1_lattices(k8_filter_0(esk2_0,u1_struct_0(esk2_0))) = k1_realset1(u1_lattices(esk2_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_65,negated_conjecture,
k1_realset1(u1_lattices(esk2_0),u1_struct_0(esk2_0)) = u1_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_66,plain,
( ~ v3_lattices(X1)
| ~ l3_lattices(X1)
| X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_67,negated_conjecture,
l3_lattices(k8_filter_0(esk2_0,u1_struct_0(esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_68,negated_conjecture,
u1_struct_0(k8_filter_0(esk2_0,u1_struct_0(esk2_0))) = u1_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_48]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_69,negated_conjecture,
u2_lattices(k8_filter_0(esk2_0,u1_struct_0(esk2_0))) = k1_realset1(u2_lattices(esk2_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_70,negated_conjecture,
k1_realset1(u2_lattices(esk2_0),u1_struct_0(esk2_0)) = u2_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_50]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_71,negated_conjecture,
k1_lattice2(k1_lattice2(esk2_0)) = k1_lattice2(k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_45])]),c_0_46]),c_0_56]) ).
cnf(c_0_72,negated_conjecture,
v3_lattices(k8_filter_0(esk2_0,u1_struct_0(esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_48]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_73,negated_conjecture,
m1_filter_2(esk4_0,esk1_0),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_74,negated_conjecture,
m1_filter_0(esk4_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_75,negated_conjecture,
u1_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u1_lattices(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_47,c_0_62]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_76,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_63]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_77,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_52,c_0_62]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_78,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_53,c_0_62]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_79,negated_conjecture,
u2_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u2_lattices(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_54,c_0_62]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_80,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)) = u2_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_63]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_81,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_57,c_0_62]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_82,negated_conjecture,
u1_lattices(k8_filter_0(esk2_0,u1_struct_0(esk2_0))) = u1_lattices(esk2_0),
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_83,negated_conjecture,
k8_filter_0(esk2_0,u1_struct_0(esk2_0)) = k1_lattice2(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_64]),c_0_65]),c_0_41]),c_0_56]),c_0_71]),c_0_72])]) ).
cnf(c_0_84,negated_conjecture,
u2_lattices(k8_filter_0(esk2_0,u1_struct_0(esk2_0))) = u2_lattices(esk2_0),
inference(rw,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_85,negated_conjecture,
m1_filter_0(esk4_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_60,c_0_73]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_86,negated_conjecture,
l3_lattices(k8_filter_0(esk2_0,esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_74]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_87,negated_conjecture,
u1_struct_0(k8_filter_0(esk2_0,esk4_0)) = esk4_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_74]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_88,negated_conjecture,
u2_lattices(k8_filter_0(esk2_0,esk4_0)) = k1_realset1(u2_lattices(esk2_0),esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_74]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_89,negated_conjecture,
u1_lattices(k8_filter_0(esk2_0,esk4_0)) = k1_realset1(u1_lattices(esk2_0),esk4_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_74]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_90,negated_conjecture,
v3_lattices(k8_filter_0(esk2_0,esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_74]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_91,negated_conjecture,
u1_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u1_lattices(esk1_0),
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_92,negated_conjecture,
k8_filter_0(esk1_0,u1_struct_0(esk1_0)) = k1_lattice2(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_75]),c_0_76]),c_0_56]),c_0_71]),c_0_81])]) ).
cnf(c_0_93,negated_conjecture,
u1_lattices(k1_lattice2(k1_lattice2(esk1_0))) = u1_lattices(esk2_0),
inference(rw,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_94,negated_conjecture,
u2_lattices(k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u2_lattices(esk1_0),
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_95,negated_conjecture,
u2_lattices(k1_lattice2(k1_lattice2(esk1_0))) = u2_lattices(esk2_0),
inference(rw,[status(thm)],[c_0_84,c_0_83]) ).
cnf(c_0_96,negated_conjecture,
l3_lattices(k8_filter_0(esk1_0,esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_85]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_97,negated_conjecture,
u1_struct_0(k8_filter_0(esk1_0,esk4_0)) = esk4_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_85]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_98,negated_conjecture,
u2_lattices(k8_filter_0(esk1_0,esk4_0)) = k1_realset1(u2_lattices(esk1_0),esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_85]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_99,negated_conjecture,
u1_lattices(k8_filter_0(esk1_0,esk4_0)) = k1_realset1(u1_lattices(esk1_0),esk4_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_85]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_100,negated_conjecture,
v3_lattices(k8_filter_0(esk1_0,esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_85]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_101,negated_conjecture,
k8_filter_0(esk1_0,esk3_0) != k8_filter_0(esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_102,negated_conjecture,
g3_lattices(esk4_0,k1_realset1(u2_lattices(esk2_0),esk4_0),k1_realset1(u1_lattices(esk2_0),esk4_0)) = k8_filter_0(esk2_0,esk4_0),
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_66,c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90])]) ).
cnf(c_0_103,negated_conjecture,
u1_lattices(esk2_0) = u1_lattices(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_104,negated_conjecture,
u2_lattices(esk2_0) = u2_lattices(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_92]),c_0_95]) ).
cnf(c_0_105,negated_conjecture,
g3_lattices(esk4_0,k1_realset1(u2_lattices(esk1_0),esk4_0),k1_realset1(u1_lattices(esk1_0),esk4_0)) = k8_filter_0(esk1_0,esk4_0),
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_66,c_0_96]),c_0_97]),c_0_98]),c_0_99]),c_0_100])]) ).
cnf(c_0_106,negated_conjecture,
k8_filter_0(esk2_0,esk4_0) != k8_filter_0(esk1_0,esk4_0),
inference(rw,[status(thm)],[c_0_101,c_0_59]) ).
cnf(c_0_107,negated_conjecture,
$false,
inference(sr,[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_105]),c_0_106]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT331+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n003.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 20 23:41:31 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.56 Running first-order theorem proving
% 0.23/0.56 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 98.78/14.50 % Version: 3.5.1
% 98.78/14.50 % Preprocessing class: FMLMSMSLSSSNFFN.
% 98.78/14.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 98.78/14.50 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 98.78/14.50 % Starting new_bool_3 with 600s (2) cores
% 98.78/14.50 % Starting new_bool_1 with 600s (2) cores
% 98.78/14.50 % Starting sh5l with 300s (1) cores
% 98.78/14.50 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2881637 completed with status 0
% 98.78/14.50 % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 98.78/14.50 % Preprocessing class: FMLMSMSLSSSNFFN.
% 98.78/14.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 98.78/14.50 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 98.78/14.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 98.78/14.50 % SinE strategy is gf600_h_gu_R05_F100_L20000
% 98.78/14.50 % Search class: FGHSM-SMLM32-DFFFFFNN
% 98.78/14.50 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 98.78/14.50 % Starting SubtermCWHack with 82s (1) cores
% 98.78/14.50 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 98.78/14.50 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 98.78/14.50 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2881648 completed with status 0
% 98.78/14.50 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 98.78/14.50 % Preprocessing class: FMLMSMSLSSSNFFN.
% 98.78/14.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 98.78/14.50 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 98.78/14.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 98.78/14.50 % SinE strategy is gf600_h_gu_R05_F100_L20000
% 98.78/14.50 % Search class: FGHSM-SMLM32-DFFFFFNN
% 98.78/14.50 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 98.78/14.50 % Starting SubtermCWHack with 82s (1) cores
% 98.78/14.50 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 98.78/14.50 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 98.78/14.50 % Preprocessing time : 0.140 s
% 98.78/14.50
% 98.78/14.50 % Proof found!
% 98.78/14.50 % SZS status Theorem
% 98.78/14.50 % SZS output start CNFRefutation
% See solution above
% 98.78/14.50 % Parsed axioms : 3004
% 98.78/14.50 % Removed by relevancy pruning/SinE : 855
% 98.78/14.50 % Initial clauses : 4654
% 98.78/14.50 % Removed in clause preprocessing : 143
% 98.78/14.50 % Initial clauses in saturation : 4511
% 98.78/14.50 % Processed clauses : 5851
% 98.78/14.50 % ...of these trivial : 129
% 98.78/14.50 % ...subsumed : 343
% 98.78/14.50 % ...remaining for further processing : 5379
% 98.78/14.50 % Other redundant clauses eliminated : 886
% 98.78/14.50 % Clauses deleted for lack of memory : 0
% 98.78/14.50 % Backward-subsumed : 38
% 98.78/14.50 % Backward-rewritten : 327
% 98.78/14.50 % Generated clauses : 155428
% 98.78/14.50 % ...of the previous two non-redundant : 138588
% 98.78/14.50 % ...aggressively subsumed : 0
% 98.78/14.50 % Contextual simplify-reflections : 230
% 98.78/14.50 % Paramodulations : 154238
% 98.78/14.50 % Factorizations : 352
% 98.78/14.50 % NegExts : 0
% 98.78/14.50 % Equation resolutions : 953
% 98.78/14.50 % Disequality decompositions : 0
% 98.78/14.50 % Total rewrite steps : 218126
% 98.78/14.50 % ...of those cached : 209173
% 98.78/14.50 % Propositional unsat checks : 0
% 98.78/14.50 % Propositional check models : 0
% 98.78/14.50 % Propositional check unsatisfiable : 0
% 98.78/14.50 % Propositional clauses : 0
% 98.78/14.50 % Propositional clauses after purity: 0
% 98.78/14.50 % Propositional unsat core size : 0
% 98.78/14.50 % Propositional preprocessing time : 0.000
% 98.78/14.50 % Propositional encoding time : 0.000
% 98.78/14.50 % Propositional solver time : 0.000
% 98.78/14.50 % Success case prop preproc time : 0.000
% 98.78/14.50 % Success case prop encoding time : 0.000
% 98.78/14.50 % Success case prop solver time : 0.000
% 98.78/14.50 % Current number of processed clauses : 4465
% 98.78/14.50 % Positive orientable unit clauses : 915
% 98.78/14.50 % Positive unorientable unit clauses: 58
% 98.78/14.50 % Negative unit clauses : 106
% 98.78/14.50 % Non-unit-clauses : 3386
% 98.78/14.50 % Current number of unprocessed clauses: 137033
% 98.78/14.50 % ...number of literals in the above : 487570
% 98.78/14.50 % Current number of archived formulas : 0
% 98.78/14.50 % Current number of archived clauses : 385
% 98.78/14.50 % Clause-clause subsumption calls (NU) : 4442040
% 98.78/14.50 % Rec. Clause-clause subsumption calls : 350672
% 98.78/14.50 % Non-unit clause-clause subsumptions : 526
% 98.78/14.50 % Unit Clause-clause subsumption calls : 223639
% 98.78/14.50 % Rewrite failures with RHS unbound : 0
% 98.78/14.50 % BW rewrite match attempts : 7503
% 98.78/14.50 % BW rewrite match successes : 4618
% 98.78/14.50 % Condensation attempts : 0
% 98.78/14.50 % Condensation successes : 0
% 98.78/14.50 % Termbank termtop insertions : 6264155
% 98.78/14.50 % Search garbage collected termcells : 94481
% 98.78/14.50
% 98.78/14.50 % -------------------------------------------------
% 98.78/14.50 % User time : 12.429 s
% 98.78/14.50 % System time : 0.298 s
% 98.78/14.50 % Total time : 12.727 s
% 98.78/14.50 % Maximum resident set size: 24824 pages
% 98.78/14.50
% 98.78/14.50 % -------------------------------------------------
% 98.78/14.50 % User time : 34.087 s
% 98.78/14.50 % System time : 0.728 s
% 98.78/14.50 % Total time : 34.815 s
% 98.78/14.50 % Maximum resident set size: 7936 pages
% 98.78/14.50 % E exiting
%------------------------------------------------------------------------------