TSTP Solution File: LAT312+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT312+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 : 600s
% DateTime : Sun Jul 17 04:29:24 EDT 2022
% Result : Theorem 190.68s 27.06s
% Output : CNFRefutation 190.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 110 ( 27 unt; 0 def)
% Number of atoms : 450 ( 41 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 543 ( 203 ~; 231 |; 66 &)
% ( 10 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 178 ( 4 sgn 107 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t41_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r1_filter_2(u1_struct_0(X1),X3,k6_domain_1(u1_struct_0(X1),X2))
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X3),k18_filter_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_filter_2) ).
fof(dt_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+22.ax',dt_k6_domain_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = k1_tarski(X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d1_tarski) ).
fof(redefinition_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+22.ax',redefinition_k6_domain_1) ).
fof(redefinition_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d10_xboole_0) ).
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(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d3_tarski) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(dt_k19_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(t24_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_filter_2) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(t40_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_filter_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t4_subset) ).
fof(t31_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))
=> ( r2_hidden(X2,k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_filter_2) ).
fof(d11_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( X3 = k19_filter_2(X1,X2)
<=> ( r1_tarski(X2,X3)
& ! [X4] :
( m2_filter_2(X4,X1)
=> ( r1_tarski(X2,X4)
=> r1_tarski(X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_filter_2) ).
fof(dt_k18_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_filter_2(k18_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k18_filter_2) ).
fof(t37_zfmisc_1,axiom,
! [X1,X2] :
( r1_tarski(k1_tarski(X1),X2)
<=> r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t37_zfmisc_1) ).
fof(t28_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_filter_2) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r1_filter_2(u1_struct_0(X1),X3,k6_domain_1(u1_struct_0(X1),X2))
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X3),k18_filter_2(X1,X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[t41_filter_2]) ).
fof(c_0_22,plain,
! [X59,X60] :
( v1_xboole_0(X59)
| ~ m1_subset_1(X60,X59)
| m1_subset_1(k6_domain_1(X59,X60),k1_zfmisc_1(X59)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k6_domain_1])])]) ).
fof(c_0_23,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))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0))
& ~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_21])])])]) ).
fof(c_0_24,plain,
! [X256,X257] :
( ( ~ m1_subset_1(X256,k1_zfmisc_1(X257))
| r1_tarski(X256,X257) )
& ( ~ r1_tarski(X256,X257)
| m1_subset_1(X256,k1_zfmisc_1(X257)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_25,plain,
! [X296,X297,X298,X299,X300,X301] :
( ( ~ r2_hidden(X298,X297)
| X298 = X296
| X297 != k1_tarski(X296) )
& ( X299 != X296
| r2_hidden(X299,X297)
| X297 != k1_tarski(X296) )
& ( ~ r2_hidden(esk39_2(X300,X301),X301)
| esk39_2(X300,X301) != X300
| X301 = k1_tarski(X300) )
& ( r2_hidden(esk39_2(X300,X301),X301)
| esk39_2(X300,X301) = X300
| X301 = k1_tarski(X300) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])]) ).
fof(c_0_26,plain,
! [X61,X62] :
( v1_xboole_0(X61)
| ~ m1_subset_1(X62,X61)
| k6_domain_1(X61,X62) = k1_tarski(X62) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1])])]) ).
fof(c_0_27,plain,
! [X24,X25,X26] :
( ( ~ r1_filter_2(X24,X25,X26)
| X25 = X26
| v1_xboole_0(X24)
| ~ m1_subset_1(X25,k1_zfmisc_1(X24))
| ~ m1_subset_1(X26,k1_zfmisc_1(X24)) )
& ( X25 != X26
| r1_filter_2(X24,X25,X26)
| v1_xboole_0(X24)
| ~ m1_subset_1(X25,k1_zfmisc_1(X24))
| ~ m1_subset_1(X26,k1_zfmisc_1(X24)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2])])])]) ).
cnf(c_0_28,plain,
( v1_xboole_0(X1)
| m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X234,X235] :
( ( r1_tarski(X234,X235)
| X234 != X235 )
& ( r1_tarski(X235,X234)
| X234 != X235 )
& ( ~ r1_tarski(X234,X235)
| ~ r1_tarski(X235,X234)
| X234 = X235 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_31,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_33,plain,
! [X97,X98] :
( ~ r2_hidden(X97,X98)
| ~ v1_xboole_0(X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_34,plain,
! [X227,X228,X229,X230,X231] :
( ( ~ r1_tarski(X227,X228)
| ~ r2_hidden(X229,X227)
| r2_hidden(X229,X228) )
& ( r2_hidden(esk35_2(X230,X231),X230)
| r1_tarski(X230,X231) )
& ( ~ r2_hidden(esk35_2(X230,X231),X231)
| r1_tarski(X230,X231) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
fof(c_0_35,plain,
! [X120,X121] :
( ~ r2_hidden(X120,X121)
| m1_subset_1(X120,X121) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_36,plain,
( r2_hidden(X1,X3)
| X1 != X2
| X3 != k1_tarski(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( v1_xboole_0(X1)
| k6_domain_1(X1,X2) = k1_tarski(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( X2 = X3
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,negated_conjecture,
( m1_subset_1(k6_domain_1(u1_struct_0(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_41,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,negated_conjecture,
r1_tarski(esk3_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_43,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( r2_hidden(esk35_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,plain,
r2_hidden(X1,k1_tarski(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_36])]) ).
cnf(c_0_47,negated_conjecture,
( k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_29]) ).
cnf(c_0_48,negated_conjecture,
( k6_domain_1(u1_struct_0(esk1_0),esk2_0) = esk3_0
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_32])]),c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( u1_struct_0(esk1_0) = esk3_0
| ~ r1_tarski(u1_struct_0(esk1_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
m1_subset_1(X1,k1_tarski(X1)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( k1_tarski(esk2_0) = esk3_0
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( u1_struct_0(esk1_0) = esk3_0
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( m1_subset_1(esk2_0,esk3_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_55,plain,
! [X48,X49] :
( v3_struct_0(X48)
| ~ v10_lattices(X48)
| ~ l3_lattices(X48)
| v1_xboole_0(X49)
| ~ m1_subset_1(X49,k1_zfmisc_1(u1_struct_0(X48)))
| m2_filter_2(k19_filter_2(X48,X49),X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k19_filter_2])])]) ).
fof(c_0_56,plain,
! [X101,X102] :
( ( ~ m1_subset_1(X102,X101)
| r2_hidden(X102,X101)
| v1_xboole_0(X101) )
& ( ~ r2_hidden(X102,X101)
| m1_subset_1(X102,X101)
| v1_xboole_0(X101) )
& ( ~ m1_subset_1(X102,X101)
| v1_xboole_0(X102)
| ~ v1_xboole_0(X101) )
& ( ~ v1_xboole_0(X102)
| m1_subset_1(X102,X101)
| ~ v1_xboole_0(X101) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_subset_1])])])]) ).
cnf(c_0_57,negated_conjecture,
( u1_struct_0(esk1_0) = esk3_0
| m1_subset_1(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_58,plain,
! [X163,X164] :
( ( m1_subset_1(esk26_2(X163,X164),u1_struct_0(X163))
| ~ m2_filter_2(X164,X163)
| v3_struct_0(X163)
| ~ v10_lattices(X163)
| ~ l3_lattices(X163) )
& ( r2_hidden(esk26_2(X163,X164),X164)
| ~ m2_filter_2(X164,X163)
| v3_struct_0(X163)
| ~ v10_lattices(X163)
| ~ l3_lattices(X163) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t24_filter_2])])])])])]) ).
cnf(c_0_59,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_61,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_62,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_63,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_64,plain,
! [X92,X93,X94] :
( ~ r2_hidden(X92,X93)
| ~ m1_subset_1(X93,k1_zfmisc_1(X94))
| ~ v1_xboole_0(X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_65,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_66,negated_conjecture,
m1_subset_1(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_29,c_0_57]) ).
fof(c_0_67,plain,
! [X45,X46,X47] :
( v3_struct_0(X45)
| ~ v10_lattices(X45)
| ~ l3_lattices(X45)
| ~ m1_subset_1(X46,u1_struct_0(X45))
| v1_xboole_0(X47)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X45)))
| ~ r2_hidden(X46,X47)
| r1_tarski(k18_filter_2(X45,X46),k19_filter_2(X45,X47)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t40_filter_2])])])]) ).
fof(c_0_68,plain,
! [X89,X90,X91] :
( ~ r2_hidden(X89,X90)
| ~ m1_subset_1(X90,k1_zfmisc_1(X91))
| m1_subset_1(X89,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_69,plain,
! [X39,X40,X41] :
( ( r2_hidden(X40,k18_filter_2(X39,X40))
| ~ m1_subset_1(X41,u1_struct_0(X39))
| ~ m1_subset_1(X40,u1_struct_0(X39))
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39) )
& ( r2_hidden(k4_lattices(X39,X40,X41),k18_filter_2(X39,X40))
| ~ m1_subset_1(X41,u1_struct_0(X39))
| ~ m1_subset_1(X40,u1_struct_0(X39))
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39) )
& ( r2_hidden(k4_lattices(X39,X41,X40),k18_filter_2(X39,X40))
| ~ m1_subset_1(X41,u1_struct_0(X39))
| ~ m1_subset_1(X40,u1_struct_0(X39))
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t31_filter_2])])])])]) ).
cnf(c_0_70,plain,
( m1_subset_1(esk26_2(X1,X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_71,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0),
inference(sr,[status(thm)],[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_32]),c_0_60]),c_0_61])]),c_0_62]),c_0_63]) ).
cnf(c_0_72,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_63]) ).
cnf(c_0_74,plain,
( v3_struct_0(X1)
| v1_xboole_0(X3)
| r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_76,plain,
! [X50,X51,X52,X53] :
( ( r1_tarski(X51,X52)
| X52 != k19_filter_2(X50,X51)
| ~ m2_filter_2(X52,X50)
| v1_xboole_0(X51)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( ~ m2_filter_2(X53,X50)
| ~ r1_tarski(X51,X53)
| r1_tarski(X52,X53)
| X52 != k19_filter_2(X50,X51)
| ~ m2_filter_2(X52,X50)
| v1_xboole_0(X51)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( m2_filter_2(esk5_3(X50,X51,X52),X50)
| ~ r1_tarski(X51,X52)
| X52 = k19_filter_2(X50,X51)
| ~ m2_filter_2(X52,X50)
| v1_xboole_0(X51)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( r1_tarski(X51,esk5_3(X50,X51,X52))
| ~ r1_tarski(X51,X52)
| X52 = k19_filter_2(X50,X51)
| ~ m2_filter_2(X52,X50)
| v1_xboole_0(X51)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( ~ r1_tarski(X52,esk5_3(X50,X51,X52))
| ~ r1_tarski(X51,X52)
| X52 = k19_filter_2(X50,X51)
| ~ m2_filter_2(X52,X50)
| v1_xboole_0(X51)
| ~ m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d11_filter_2])])])])])]) ).
fof(c_0_77,plain,
! [X34,X35] :
( v3_struct_0(X34)
| ~ v10_lattices(X34)
| ~ l3_lattices(X34)
| ~ m1_subset_1(X35,u1_struct_0(X34))
| m2_filter_2(k18_filter_2(X34,X35),X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k18_filter_2])])]) ).
cnf(c_0_78,plain,
( r2_hidden(X1,k18_filter_2(X2,X1))
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,negated_conjecture,
m1_subset_1(esk26_2(esk1_0,k19_filter_2(esk1_0,esk3_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_70,c_0_71]),c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_80,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_74,c_0_75]),c_0_43]) ).
cnf(c_0_82,plain,
( r1_tarski(X4,X1)
| v1_xboole_0(X3)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ r1_tarski(X3,X1)
| X4 != k19_filter_2(X2,X3)
| ~ m2_filter_2(X4,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,plain,
( v3_struct_0(X1)
| m2_filter_2(k18_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_84,plain,
! [X307,X308] :
( ( ~ r1_tarski(k1_tarski(X307),X308)
| r2_hidden(X307,X308) )
& ( ~ r2_hidden(X307,X308)
| r1_tarski(k1_tarski(X307),X308) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_zfmisc_1])]) ).
cnf(c_0_85,negated_conjecture,
( r2_hidden(X1,k18_filter_2(esk1_0,X1))
| ~ 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_78,c_0_79]),c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_86,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_80,c_0_32]) ).
fof(c_0_87,plain,
! [X171] :
( v3_struct_0(X171)
| ~ v10_lattices(X171)
| ~ l3_lattices(X171)
| m2_filter_2(u1_struct_0(X171),X171) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t28_filter_2])])]) ).
cnf(c_0_88,negated_conjecture,
( v3_struct_0(X1)
| r1_tarski(k18_filter_2(X1,esk2_0),k19_filter_2(X1,esk3_0))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[c_0_81,c_0_73]) ).
cnf(c_0_89,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(k19_filter_2(X1,X2),X3)
| ~ m2_filter_2(X3,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X2,X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_82]),c_0_59]) ).
cnf(c_0_90,negated_conjecture,
m2_filter_2(k18_filter_2(esk1_0,esk2_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_83,c_0_29]),c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_91,plain,
( r1_tarski(k1_tarski(X1),X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_92,negated_conjecture,
r2_hidden(esk2_0,k18_filter_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_85,c_0_29]) ).
cnf(c_0_93,negated_conjecture,
k1_tarski(esk2_0) = esk3_0,
inference(sr,[status(thm)],[c_0_52,c_0_86]) ).
cnf(c_0_94,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_95,negated_conjecture,
r1_tarski(k18_filter_2(esk1_0,esk2_0),k19_filter_2(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_88,c_0_32]),c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_96,negated_conjecture,
( v1_xboole_0(X1)
| r1_tarski(k19_filter_2(esk1_0,X1),k18_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r1_tarski(X1,k18_filter_2(esk1_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_89,c_0_90]),c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_97,negated_conjecture,
r1_tarski(esk3_0,k18_filter_2(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_98,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(k19_filter_2(X1,X2),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_94]),c_0_31]) ).
cnf(c_0_99,negated_conjecture,
( k18_filter_2(esk1_0,esk2_0) = k19_filter_2(esk1_0,esk3_0)
| ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_95]) ).
cnf(c_0_100,negated_conjecture,
r1_tarski(k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_32])]),c_0_63]) ).
cnf(c_0_101,plain,
( r1_filter_2(X3,X1,X2)
| v1_xboole_0(X3)
| X1 != X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_102,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_103,negated_conjecture,
r1_tarski(k19_filter_2(esk1_0,esk3_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_32]),c_0_60]),c_0_61])]),c_0_62]),c_0_63]) ).
cnf(c_0_104,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_105,negated_conjecture,
k18_filter_2(esk1_0,esk2_0) = k19_filter_2(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
cnf(c_0_106,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_107,negated_conjecture,
m1_subset_1(k19_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk3_0)),
inference(rw,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_86]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT312+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 10:36:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.71/0.89 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.89 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.71/0.89 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.71/0.89 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 190.68/27.06 # ENIGMATIC: Solved by autoschedule:
% 190.68/27.06 # SinE strategy is gf120_gu_R02_F100_L20000
% 190.68/27.06 # Trying AutoSched0 for 149 seconds
% 190.68/27.06 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 190.68/27.06 # and selection function SelectCQIPrecWNTNp.
% 190.68/27.06 #
% 190.68/27.06 # Preprocessing time : 0.068 s
% 190.68/27.06 # Presaturation interreduction done
% 190.68/27.06
% 190.68/27.06 # Proof found!
% 190.68/27.06 # SZS status Theorem
% 190.68/27.06 # SZS output start CNFRefutation
% See solution above
% 190.68/27.06 # Training examples: 0 positive, 0 negative
% 190.68/27.06
% 190.68/27.06 # -------------------------------------------------
% 190.68/27.06 # User time : 22.058 s
% 190.68/27.06 # System time : 0.632 s
% 190.68/27.06 # Total time : 22.691 s
% 190.68/27.06 # Maximum resident set size: 29476 pages
% 190.68/27.06
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