%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT331+3 : 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 : n002.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 74.78s 12.44s
% Output : CNFRefutation 74.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 109 ( 40 unt; 0 def)
% Number of atoms : 486 ( 81 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 558 ( 181 ~; 188 |; 143 &)
% ( 2 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 91 ( 0 sgn 64 !; 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(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(t19_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v3_lattices(X1)
& ~ v3_struct_0(X1) )
=> k1_lattice2(k1_lattice2(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',t19_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',dt_k1_lattice2) ).
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(fc1_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',fc1_lattice2) ).
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(fc2_lattice2,axiom,
! [X1] :
( ( l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u2_lattices(X1))
& v1_relat_1(u2_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',fc2_lattice2) ).
fof(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',cc1_lattices) ).
fof(t18_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( u1_lattices(X1) = u2_lattices(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',t18_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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',abstractness_v3_lattices) ).
fof(d3_realset1,axiom,
! [X1] :
( v1_relat_1(X1)
=> ! [X2] : k1_realset1(X1,X2) = k7_relat_1(X1,k2_zfmisc_1(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+117.ax',d3_realset1) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l3_lattices) ).
fof(c_0_15,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_16,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_15]) ).
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)
& v3_lattices(X1)
& ~ v3_struct_0(X1) )
=> k1_lattice2(k1_lattice2(X1)) = X1 ),
inference(fof_simplification,[status(thm)],[t19_lattice2]) ).
fof(c_0_19,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_16])])])]) ).
fof(c_0_20,plain,
! [X80] :
( k1_lattice2(k1_lattice2(X80)) = g3_lattices(u1_struct_0(X80),u2_lattices(X80),u1_lattices(X80))
| ~ l3_lattices(X80)
| ~ v10_lattices(X80)
| v3_struct_0(X80) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_21,plain,
! [X123] :
( k1_lattice2(k1_lattice2(X123)) = X123
| ~ l3_lattices(X123)
| ~ v3_lattices(X123)
| v3_struct_0(X123) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_22,plain,
! [X124] :
( ( ~ l3_lattices(X124)
| l3_lattices(k1_lattice2(X124)) )
& ( ~ l3_lattices(X124)
| v3_lattices(k1_lattice2(X124)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])])]) ).
cnf(c_0_23,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_19]) ).
cnf(c_0_24,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_20]) ).
cnf(c_0_25,negated_conjecture,
v10_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
( ~ l3_lattices(X1)
| ~ v3_lattices(X1)
| k1_lattice2(k1_lattice2(X1)) = X1
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,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_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_32,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_35,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_36,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_37,plain,
( ~ l3_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| k1_lattice2(k1_lattice2(k1_lattice2(X1))) = k1_lattice2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_38,negated_conjecture,
k1_lattice2(k1_lattice2(esk2_0)) = k1_lattice2(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_31]),c_0_32]),c_0_33])]),c_0_34]) ).
fof(c_0_39,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_40,plain,
! [X97,X98] :
( ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| m1_filter_2(X98,X97)
| ~ m1_filter_0(X98,X97) )
& ( ~ l3_lattices(X97)
| ~ v10_lattices(X97)
| v3_struct_0(X97)
| m1_filter_0(X98,X97)
| ~ m1_filter_2(X98,X97) ) ),
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_35])])])])]) ).
cnf(c_0_41,negated_conjecture,
m1_filter_2(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_42,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_43,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_44,plain,
! [X122] :
( ( ~ l3_lattices(X122)
| v3_struct_0(X122)
| v3_lattices(k1_lattice2(X122)) )
& ( ~ l3_lattices(X122)
| v3_struct_0(X122)
| ~ v3_struct_0(k1_lattice2(X122)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
cnf(c_0_45,negated_conjecture,
( v3_struct_0(k1_lattice2(esk2_0))
| k1_lattice2(k1_lattice2(k1_lattice2(esk1_0))) = k1_lattice2(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_26])]) ).
fof(c_0_46,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_39])])])])]) ).
cnf(c_0_47,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_40]) ).
cnf(c_0_48,negated_conjecture,
m1_filter_2(esk3_0,esk2_0),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_49,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_43])])])]) ).
fof(c_0_50,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_51,plain,
! [X1] :
( ( l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u2_lattices(X1))
& v1_relat_1(u2_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc2_lattice2]) ).
fof(c_0_52,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
fof(c_0_53,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( u1_lattices(X1) = u2_lattices(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t18_lattice2]) ).
cnf(c_0_54,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk2_0))
| k1_lattice2(esk2_0) = k1_lattice2(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_45]),c_0_33])]) ).
cnf(c_0_56,negated_conjecture,
m1_filter_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_57,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_58,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_46]) ).
cnf(c_0_59,negated_conjecture,
m1_filter_0(esk3_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_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_60,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_49]) ).
fof(c_0_61,plain,
! [X19,X20] :
( ( ~ m1_filter_0(X20,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v10_lattices(k8_filter_0(X19,X20)) )
& ( ~ m1_filter_0(X20,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v9_lattices(k8_filter_0(X19,X20)) )
& ( ~ m1_filter_0(X20,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v8_lattices(k8_filter_0(X19,X20)) )
& ( ~ m1_filter_0(X20,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v7_lattices(k8_filter_0(X19,X20)) )
& ( ~ m1_filter_0(X20,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v6_lattices(k8_filter_0(X19,X20)) )
& ( ~ m1_filter_0(X20,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v5_lattices(k8_filter_0(X19,X20)) )
& ( ~ m1_filter_0(X20,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v4_lattices(k8_filter_0(X19,X20)) )
& ( ~ m1_filter_0(X20,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v3_lattices(k8_filter_0(X19,X20)) )
& ( ~ m1_filter_0(X20,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ v3_struct_0(k8_filter_0(X19,X20)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_62,plain,
! [X152,X153] :
( k1_realset1(X152,X153) = k7_relat_1(X152,k2_zfmisc_1(X153,X153))
| ~ v1_relat_1(X152) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_realset1])])])]) ).
cnf(c_0_63,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_46]) ).
fof(c_0_64,plain,
! [X1420] :
( ( ~ l2_lattices(X1420)
| ~ v4_lattices(X1420)
| v3_struct_0(X1420)
| v1_partfun1(u2_lattices(X1420),k2_zfmisc_1(u1_struct_0(X1420),u1_struct_0(X1420)),u1_struct_0(X1420)) )
& ( ~ l2_lattices(X1420)
| ~ v4_lattices(X1420)
| v3_struct_0(X1420)
| v1_binop_1(u2_lattices(X1420),u1_struct_0(X1420)) )
& ( ~ l2_lattices(X1420)
| ~ v4_lattices(X1420)
| v3_struct_0(X1420)
| v1_funct_2(u2_lattices(X1420),k2_zfmisc_1(u1_struct_0(X1420),u1_struct_0(X1420)),u1_struct_0(X1420)) )
& ( ~ l2_lattices(X1420)
| ~ v4_lattices(X1420)
| v3_struct_0(X1420)
| v1_funct_1(u2_lattices(X1420)) )
& ( ~ l2_lattices(X1420)
| ~ v4_lattices(X1420)
| v3_struct_0(X1420)
| v1_relat_1(u2_lattices(X1420)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
fof(c_0_65,plain,
! [X105] :
( ( ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v9_lattices(X105) )
& ( ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v8_lattices(X105) )
& ( ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v7_lattices(X105) )
& ( ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v6_lattices(X105) )
& ( ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v5_lattices(X105) )
& ( ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v4_lattices(X105) )
& ( ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| ~ v3_struct_0(X105) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
fof(c_0_66,plain,
! [X1412] :
( ( ~ l3_lattices(X1412)
| l2_lattices(X1412) )
& ( ~ l3_lattices(X1412)
| l1_lattices(X1412) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_67,plain,
! [X88] :
( ( ~ l3_lattices(X88)
| v3_struct_0(X88)
| u1_lattices(X88) = u2_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| v3_struct_0(X88)
| u2_lattices(X88) = u1_lattices(k1_lattice2(X88)) )
& ( ~ l3_lattices(X88)
| v3_struct_0(X88)
| u1_struct_0(X88) = u1_struct_0(k1_lattice2(X88)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
cnf(c_0_68,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k1_lattice2(esk2_0) = k1_lattice2(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_26])]),c_0_27]) ).
cnf(c_0_69,negated_conjecture,
m1_filter_0(esk3_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_56]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_70,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_57]) ).
cnf(c_0_71,negated_conjecture,
u1_struct_0(k8_filter_0(esk2_0,esk3_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_58,c_0_59]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_72,negated_conjecture,
l3_lattices(k8_filter_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_60,c_0_59]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_73,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_61]) ).
cnf(c_0_74,plain,
( ~ v1_relat_1(X1)
| k1_realset1(X1,X2) = k7_relat_1(X1,k2_zfmisc_1(X2,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_75,negated_conjecture,
k1_realset1(u2_lattices(esk2_0),esk3_0) = u2_lattices(k8_filter_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_63,c_0_59]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_76,plain,
( ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_77,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_78,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_79,plain,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_80,negated_conjecture,
k1_lattice2(esk2_0) = k1_lattice2(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_68]),c_0_33])]),c_0_34]) ).
cnf(c_0_81,negated_conjecture,
u1_struct_0(k8_filter_0(esk1_0,esk3_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_58,c_0_69]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_82,negated_conjecture,
l3_lattices(k8_filter_0(esk1_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_60,c_0_69]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_83,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),esk3_0) = u2_lattices(k8_filter_0(esk1_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_63,c_0_69]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_84,negated_conjecture,
( ~ v3_lattices(k8_filter_0(esk2_0,esk3_0))
| g3_lattices(esk3_0,u2_lattices(k8_filter_0(esk2_0,esk3_0)),u1_lattices(k8_filter_0(esk2_0,esk3_0))) = k8_filter_0(esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_85,negated_conjecture,
v3_lattices(k8_filter_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_73,c_0_59]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_86,negated_conjecture,
( ~ v1_relat_1(u2_lattices(esk2_0))
| u2_lattices(k8_filter_0(esk2_0,esk3_0)) = k7_relat_1(u2_lattices(esk2_0),k2_zfmisc_1(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_87,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_88,plain,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| u2_lattices(X1) = u1_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_89,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_46]) ).
cnf(c_0_90,negated_conjecture,
u2_lattices(k1_lattice2(esk1_0)) = u1_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_26])]),c_0_27]) ).
cnf(c_0_91,negated_conjecture,
( ~ v3_lattices(k8_filter_0(esk1_0,esk3_0))
| g3_lattices(esk3_0,u2_lattices(k8_filter_0(esk1_0,esk3_0)),u1_lattices(k8_filter_0(esk1_0,esk3_0))) = k8_filter_0(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_81]),c_0_82])]) ).
cnf(c_0_92,negated_conjecture,
v3_lattices(k8_filter_0(esk1_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_73,c_0_69]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_93,negated_conjecture,
( ~ v1_relat_1(u2_lattices(esk1_0))
| u2_lattices(k8_filter_0(esk1_0,esk3_0)) = k7_relat_1(u2_lattices(esk1_0),k2_zfmisc_1(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_83]) ).
cnf(c_0_94,negated_conjecture,
g3_lattices(esk3_0,u2_lattices(k8_filter_0(esk2_0,esk3_0)),u1_lattices(k8_filter_0(esk2_0,esk3_0))) = k8_filter_0(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
cnf(c_0_95,negated_conjecture,
u2_lattices(k8_filter_0(esk2_0,esk3_0)) = k7_relat_1(u2_lattices(esk2_0),k2_zfmisc_1(esk3_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_86,c_0_87]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_96,negated_conjecture,
u1_lattices(k1_lattice2(esk1_0)) = u2_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_80]),c_0_26])]),c_0_27]) ).
cnf(c_0_97,negated_conjecture,
k1_realset1(u1_lattices(esk2_0),esk3_0) = u1_lattices(k8_filter_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_89,c_0_59]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_98,negated_conjecture,
u1_lattices(esk2_0) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_90]),c_0_33])]),c_0_34]) ).
cnf(c_0_99,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),esk3_0) = u1_lattices(k8_filter_0(esk1_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_89,c_0_69]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_100,negated_conjecture,
g3_lattices(esk3_0,u2_lattices(k8_filter_0(esk1_0,esk3_0)),u1_lattices(k8_filter_0(esk1_0,esk3_0))) = k8_filter_0(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_101,negated_conjecture,
u2_lattices(k8_filter_0(esk1_0,esk3_0)) = k7_relat_1(u2_lattices(esk1_0),k2_zfmisc_1(esk3_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_93,c_0_87]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_102,negated_conjecture,
k8_filter_0(esk1_0,esk3_0) != k8_filter_0(esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_103,negated_conjecture,
g3_lattices(esk3_0,k7_relat_1(u2_lattices(esk2_0),k2_zfmisc_1(esk3_0,esk3_0)),u1_lattices(k8_filter_0(esk2_0,esk3_0))) = k8_filter_0(esk2_0,esk3_0),
inference(rw,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_104,negated_conjecture,
u2_lattices(esk2_0) = u2_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_96]),c_0_33])]),c_0_34]) ).
cnf(c_0_105,negated_conjecture,
u1_lattices(k8_filter_0(esk2_0,esk3_0)) = u1_lattices(k8_filter_0(esk1_0,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_106,negated_conjecture,
g3_lattices(esk3_0,k7_relat_1(u2_lattices(esk1_0),k2_zfmisc_1(esk3_0,esk3_0)),u1_lattices(k8_filter_0(esk1_0,esk3_0))) = k8_filter_0(esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_107,negated_conjecture,
k8_filter_0(esk2_0,esk3_0) != k8_filter_0(esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_102,c_0_42]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106]),c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT331+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n002.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 23:42:52 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 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
% 74.78/12.44 % Version: 3.5.1
% 74.78/12.44 % Preprocessing class: FMLLSMLLSSSNFFN.
% 74.78/12.44 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 74.78/12.44 % Starting new_bool_3 with 897s (3) cores
% 74.78/12.44 % Starting new_bool_1 with 897s (3) cores
% 74.78/12.44 % Starting sh5l with 299s (1) cores
% 74.78/12.44 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 74.78/12.44 % new_bool_3 with pid 1964970 completed with status 0
% 74.78/12.44 % Result found by new_bool_3
% 74.78/12.44 % Preprocessing class: FMLLSMLLSSSNFFN.
% 74.78/12.44 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 74.78/12.44 % Starting new_bool_3 with 897s (3) cores
% 74.78/12.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 74.78/12.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 74.78/12.44 % Search class: FGHSM-SMLM32-MFFFFFNN
% 74.78/12.44 % Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 74.78/12.44 % Starting SubtermCWHack with 81s (1) cores
% 74.78/12.44 % Starting new_bool_3 with 90s (1) cores
% 74.78/12.44 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 74.78/12.44 % new_bool_3 with pid 1964979 completed with status 0
% 74.78/12.44 % Result found by new_bool_3
% 74.78/12.44 % Preprocessing class: FMLLSMLLSSSNFFN.
% 74.78/12.44 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 74.78/12.44 % Starting new_bool_3 with 897s (3) cores
% 74.78/12.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 74.78/12.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 74.78/12.44 % Search class: FGHSM-SMLM32-MFFFFFNN
% 74.78/12.44 % Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 74.78/12.44 % Starting SubtermCWHack with 81s (1) cores
% 74.78/12.44 % Starting new_bool_3 with 90s (1) cores
% 74.78/12.44 % Preprocessing time : 0.042 s
% 74.78/12.44 % Presaturation interreduction done
% 74.78/12.44
% 74.78/12.44 % Proof found!
% 74.78/12.44 % SZS status Theorem
% 74.78/12.44 % SZS output start CNFRefutation
% See solution above
% 74.78/12.44 % Parsed axioms : 13663
% 74.78/12.44 % Removed by relevancy pruning/SinE : 13041
% 74.78/12.44 % Initial clauses : 1675
% 74.78/12.44 % Removed in clause preprocessing : 70
% 74.78/12.44 % Initial clauses in saturation : 1605
% 74.78/12.44 % Processed clauses : 29009
% 74.78/12.44 % ...of these trivial : 581
% 74.78/12.44 % ...subsumed : 16005
% 74.78/12.44 % ...remaining for further processing : 12423
% 74.78/12.44 % Other redundant clauses eliminated : 718
% 74.78/12.44 % Clauses deleted for lack of memory : 0
% 74.78/12.44 % Backward-subsumed : 147
% 74.78/12.44 % Backward-rewritten : 855
% 74.78/12.44 % Generated clauses : 252593
% 74.78/12.44 % ...of the previous two non-redundant : 242565
% 74.78/12.44 % ...aggressively subsumed : 0
% 74.78/12.44 % Contextual simplify-reflections : 177
% 74.78/12.44 % Paramodulations : 251862
% 74.78/12.44 % Factorizations : 4
% 74.78/12.44 % NegExts : 0
% 74.78/12.44 % Equation resolutions : 748
% 74.78/12.44 % Disequality decompositions : 0
% 74.78/12.44 % Total rewrite steps : 56934
% 74.78/12.44 % ...of those cached : 50747
% 74.78/12.44 % Propositional unsat checks : 2
% 74.78/12.44 % Propositional check models : 0
% 74.78/12.44 % Propositional check unsatisfiable : 0
% 74.78/12.44 % Propositional clauses : 0
% 74.78/12.44 % Propositional clauses after purity: 0
% 74.78/12.44 % Propositional unsat core size : 0
% 74.78/12.44 % Propositional preprocessing time : 0.000
% 74.78/12.44 % Propositional encoding time : 0.295
% 74.78/12.44 % Propositional solver time : 0.311
% 74.78/12.44 % Success case prop preproc time : 0.000
% 74.78/12.44 % Success case prop encoding time : 0.000
% 74.78/12.44 % Success case prop solver time : 0.000
% 74.78/12.44 % Current number of processed clauses : 9863
% 74.78/12.44 % Positive orientable unit clauses : 2793
% 74.78/12.44 % Positive unorientable unit clauses: 0
% 74.78/12.44 % Negative unit clauses : 1729
% 74.78/12.44 % Non-unit-clauses : 5341
% 74.78/12.44 % Current number of unprocessed clauses: 216235
% 74.78/12.44 % ...number of literals in the above : 713660
% 74.78/12.44 % Current number of archived formulas : 0
% 74.78/12.44 % Current number of archived clauses : 2444
% 74.78/12.44 % Clause-clause subsumption calls (NU) : 5659156
% 74.78/12.44 % Rec. Clause-clause subsumption calls : 1573545
% 74.78/12.44 % Non-unit clause-clause subsumptions : 4099
% 74.78/12.44 % Unit Clause-clause subsumption calls : 2608830
% 74.78/12.44 % Rewrite failures with RHS unbound : 0
% 74.78/12.44 % BW rewrite match attempts : 19411
% 74.78/12.44 % BW rewrite match successes : 145
% 74.78/12.44 % Condensation attempts : 0
% 74.78/12.44 % Condensation successes : 0
% 74.78/12.44 % Termbank termtop insertions : 6540419
% 74.78/12.44 % Search garbage collected termcells : 141666
% 74.78/12.44
% 74.78/12.44 % -------------------------------------------------
% 74.78/12.44 % User time : 10.292 s
% 74.78/12.44 % System time : 0.306 s
% 74.78/12.44 % Total time : 10.598 s
% 74.78/12.44 % Maximum resident set size: 28772 pages
% 74.78/12.44
% 74.78/12.44 % -------------------------------------------------
% 74.78/12.44 % User time : 31.442 s
% 74.78/12.44 % System time : 0.901 s
% 74.78/12.44 % Total time : 32.343 s
% 74.78/12.44 % Maximum resident set size: 23040 pages
% 74.78/12.44 % E exiting
%------------------------------------------------------------------------------