TSTP Solution File: LAT312+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT312+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 04:46:54 EDT 2022
% Result : Theorem 2.23s 268.38s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 83 ( 32 unt; 0 def)
% Number of atoms : 339 ( 25 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 413 ( 157 ~; 170 |; 53 &)
% ( 5 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 122 ( 8 sgn 75 !; 0 ?)
% 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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t41_filter_2) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t28_filter_2) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_filter_2) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+22.ax',redefinition_k6_domain_1) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t31_filter_2) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_r1_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/sandbox2/benchmark/Axioms/SET007/SET007+22.ax',dt_k6_domain_1) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d11_filter_2) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k19_filter_2) ).
fof(t37_zfmisc_1,axiom,
! [X1,X2] :
( r1_tarski(k1_tarski(X1),X2)
<=> r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t37_zfmisc_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k18_filter_2) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t40_filter_2) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',d10_xboole_0) ).
fof(c_0_15,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_16,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| m2_filter_2(u1_struct_0(X2),X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t28_filter_2])])]) ).
fof(c_0_17,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_15])])])])])]) ).
fof(c_0_18,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m2_filter_2])])])])])])]) ).
cnf(c_0_19,plain,
( m2_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [X3,X4] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X4,X3)
| k6_domain_1(X3,X4) = k1_tarski(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1])])]) ).
cnf(c_0_24,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]) ).
fof(c_0_26,plain,
! [X4,X5,X6] :
( ( r2_hidden(X5,k18_filter_2(X4,X5))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( r2_hidden(k4_lattices(X4,X5,X6),k18_filter_2(X4,X5))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( r2_hidden(k4_lattices(X4,X6,X5),k18_filter_2(X4,X5))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[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])])])])])])]) ).
fof(c_0_27,plain,
! [X4,X5,X6] :
( ( ~ r1_filter_2(X4,X5,X6)
| X5 = X6
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) )
& ( X5 != X6
| r1_filter_2(X4,X5,X6)
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ) ),
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,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_24,c_0_25]),c_0_20]),c_0_21])]),c_0_22]) ).
fof(c_0_31,plain,
! [X3,X4] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X4,X3)
| m1_subset_1(k6_domain_1(X3,X4),k1_zfmisc_1(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k6_domain_1])])]) ).
fof(c_0_32,plain,
! [X5,X6,X7,X8] :
( ( r1_tarski(X6,X7)
| X7 != k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ m2_filter_2(X8,X5)
| ~ r1_tarski(X6,X8)
| r1_tarski(X7,X8)
| X7 != k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m2_filter_2(esk5_3(X5,X6,X7),X5)
| ~ r1_tarski(X6,X7)
| X7 = k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r1_tarski(X6,esk5_3(X5,X6,X7))
| ~ r1_tarski(X6,X7)
| X7 = k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r1_tarski(X7,esk5_3(X5,X6,X7))
| ~ r1_tarski(X6,X7)
| X7 = k19_filter_2(X5,X6)
| ~ m2_filter_2(X7,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d11_filter_2])])])])])])])]) ).
fof(c_0_33,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m2_filter_2(k19_filter_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k19_filter_2])])]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k18_filter_2(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,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_17]) ).
cnf(c_0_38,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0),
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_39,plain,
( m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_40,plain,
! [X3,X4,X3,X4] :
( ( ~ r1_tarski(k1_tarski(X3),X4)
| r2_hidden(X3,X4) )
& ( ~ r2_hidden(X3,X4)
| r1_tarski(k1_tarski(X3),X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_zfmisc_1])])])]) ).
fof(c_0_41,plain,
! [X3] : r1_tarski(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X3,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X3,X1)
| X3 != k19_filter_2(X1,X2)
| ~ r1_tarski(X2,X4)
| ~ m2_filter_2(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_44,plain,
( m2_filter_2(k19_filter_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_45,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_46,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m2_filter_2(k18_filter_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k18_filter_2])])]) ).
cnf(c_0_47,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(pm,[status(thm)],[c_0_34,c_0_29]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_48,negated_conjecture,
( X1 = esk3_0
| ~ r1_filter_2(u1_struct_0(esk1_0),esk3_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_36]),c_0_30]) ).
cnf(c_0_49,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk3_0,k1_tarski(esk2_0)),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_50,negated_conjecture,
m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_29]),c_0_38]),c_0_30]) ).
fof(c_0_51,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ r2_hidden(X5,X6)
| r1_tarski(k18_filter_2(X4,X5),k19_filter_2(X4,X6)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t40_filter_2])])])])])]) ).
cnf(c_0_52,plain,
( r2_hidden(X1,X2)
| ~ r1_tarski(k1_tarski(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,negated_conjecture,
( r1_tarski(X1,X2)
| X1 != k19_filter_2(esk1_0,esk3_0)
| ~ m2_filter_2(X2,esk1_0)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_36]),c_0_20]),c_0_21])]),c_0_22]),c_0_43]) ).
cnf(c_0_55,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(pm,[status(thm)],[c_0_44,c_0_36]),c_0_20]),c_0_21])]),c_0_22]),c_0_43]) ).
cnf(c_0_56,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
( m2_filter_2(k18_filter_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
( r1_tarski(k1_tarski(X1),X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_59,negated_conjecture,
r2_hidden(esk2_0,k18_filter_2(esk1_0,esk2_0)),
inference(pm,[status(thm)],[c_0_47,c_0_29]) ).
cnf(c_0_60,negated_conjecture,
k1_tarski(esk2_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_61,plain,
( r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3))
| v1_xboole_0(X3)
| v3_struct_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
r2_hidden(X1,k1_tarski(X1)),
inference(pm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
( r1_tarski(k19_filter_2(esk1_0,esk3_0),X1)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_54]),c_0_55])]) ).
cnf(c_0_64,negated_conjecture,
r1_tarski(esk3_0,u1_struct_0(esk1_0)),
inference(pm,[status(thm)],[c_0_56,c_0_36]) ).
fof(c_0_65,plain,
! [X3,X4,X3,X4] :
( ( r1_tarski(X3,X4)
| X3 != X4 )
& ( r1_tarski(X4,X3)
| X3 != X4 )
& ( ~ r1_tarski(X3,X4)
| ~ r1_tarski(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])])]) ).
cnf(c_0_66,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(pm,[status(thm)],[c_0_57,c_0_29]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_67,negated_conjecture,
r1_tarski(esk3_0,k18_filter_2(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( r1_tarski(k18_filter_2(esk1_0,X1),k19_filter_2(esk1_0,esk3_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_61,c_0_36]),c_0_20]),c_0_21])]),c_0_22]),c_0_43]) ).
cnf(c_0_69,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(pm,[status(thm)],[c_0_62,c_0_60]) ).
cnf(c_0_70,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_71,negated_conjecture,
r1_tarski(k19_filter_2(esk1_0,esk3_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_63,c_0_25]),c_0_64])]) ).
cnf(c_0_72,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_73,negated_conjecture,
r1_tarski(k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_63,c_0_66]),c_0_67])]) ).
cnf(c_0_74,negated_conjecture,
r1_tarski(k18_filter_2(esk1_0,esk2_0),k19_filter_2(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_68,c_0_29]),c_0_69])]) ).
cnf(c_0_75,plain,
( v1_xboole_0(X2)
| r1_filter_2(X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_76,negated_conjecture,
m1_subset_1(k19_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(pm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
k19_filter_2(esk1_0,esk3_0) = k18_filter_2(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_78,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_17]) ).
cnf(c_0_79,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_75]) ).
cnf(c_0_80,negated_conjecture,
m1_subset_1(k18_filter_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k18_filter_2(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_78,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_79,c_0_80]),c_0_30]),c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT312+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 10:39:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.01/24.07 eprover: CPU time limit exceeded, terminating
% 1.01/24.08 eprover: CPU time limit exceeded, terminating
% 1.01/24.12 eprover: CPU time limit exceeded, terminating
% 1.04/29.95 eprover: CPU time limit exceeded, terminating
% 1.11/47.15 eprover: CPU time limit exceeded, terminating
% 1.11/47.17 eprover: CPU time limit exceeded, terminating
% 1.11/47.18 eprover: CPU time limit exceeded, terminating
% 1.13/52.99 eprover: CPU time limit exceeded, terminating
% 1.21/70.18 eprover: CPU time limit exceeded, terminating
% 1.21/70.20 eprover: CPU time limit exceeded, terminating
% 1.21/70.22 eprover: CPU time limit exceeded, terminating
% 1.25/76.01 eprover: CPU time limit exceeded, terminating
% 1.33/93.20 eprover: CPU time limit exceeded, terminating
% 1.33/93.22 eprover: CPU time limit exceeded, terminating
% 1.33/93.24 eprover: CPU time limit exceeded, terminating
% 1.37/99.04 eprover: CPU time limit exceeded, terminating
% 1.45/116.22 eprover: CPU time limit exceeded, terminating
% 1.45/116.25 eprover: CPU time limit exceeded, terminating
% 1.45/116.28 eprover: CPU time limit exceeded, terminating
% 1.47/122.06 eprover: CPU time limit exceeded, terminating
% 1.57/139.24 eprover: CPU time limit exceeded, terminating
% 1.57/139.27 eprover: CPU time limit exceeded, terminating
% 1.57/139.30 eprover: CPU time limit exceeded, terminating
% 1.61/145.08 eprover: CPU time limit exceeded, terminating
% 1.69/162.26 eprover: CPU time limit exceeded, terminating
% 1.69/162.29 eprover: CPU time limit exceeded, terminating
% 1.69/162.31 eprover: CPU time limit exceeded, terminating
% 1.72/168.10 eprover: CPU time limit exceeded, terminating
% 1.81/185.28 eprover: CPU time limit exceeded, terminating
% 1.81/185.31 eprover: CPU time limit exceeded, terminating
% 1.81/185.33 eprover: CPU time limit exceeded, terminating
% 1.84/191.11 eprover: CPU time limit exceeded, terminating
% 1.91/208.30 eprover: CPU time limit exceeded, terminating
% 1.91/208.33 eprover: CPU time limit exceeded, terminating
% 1.91/208.35 eprover: CPU time limit exceeded, terminating
% 1.94/214.14 eprover: CPU time limit exceeded, terminating
% 2.03/231.32 eprover: CPU time limit exceeded, terminating
% 2.03/231.36 eprover: CPU time limit exceeded, terminating
% 2.03/231.37 eprover: CPU time limit exceeded, terminating
% 2.06/237.16 eprover: CPU time limit exceeded, terminating
% 2.16/254.34 eprover: CPU time limit exceeded, terminating
% 2.16/254.38 eprover: CPU time limit exceeded, terminating
% 2.16/254.39 eprover: CPU time limit exceeded, terminating
% 2.20/260.17 eprover: CPU time limit exceeded, terminating
% 2.23/268.38 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 2.23/268.38 # Preprocessing time : 0.492 s
% 2.23/268.38 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # Preprocessing time : 3.469 s
% 2.23/268.38 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # Preprocessing time : 3.398 s
% 2.23/268.38 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 2.23/268.38 # Preprocessing time : 0.501 s
% 2.23/268.38 # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 2.23/268.38 # Preprocessing time : 0.516 s
% 2.23/268.38 # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 2.23/268.38 # Preprocessing time : 0.365 s
% 2.23/268.38 # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 2.23/268.38 # Preprocessing time : 0.385 s
% 2.23/268.38 # Running protocol protocol_eprover_e96ef4641ae500918cdd95fcfce21e29f2ac5eec for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # SinE strategy is GSinE(CountFormulas,,6.0,,03,100,1.0)
% 2.23/268.38 # Preprocessing time : 0.360 s
% 2.23/268.38 # Running protocol protocol_eprover_1f734394cb6ce69b36c9826f6782d3567d6ecd6c for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,20000,1.0)
% 2.23/268.38 # Preprocessing time : 0.489 s
% 2.23/268.38 # Running protocol protocol_eprover_e9eb28a402764e1f99b41605245cd0a359f475fb for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # Preprocessing time : 2.332 s
% 2.23/268.38 # Running protocol protocol_eprover_3dd3316ad6e39f95bf120b2757347c6970e0a532 for 23 seconds:
% 2.23/268.38
% 2.23/268.38 # Failure: Resource limit exceeded (time)
% 2.23/268.38 # OLD status Res
% 2.23/268.38 # SinE strategy is GSinE(CountFormulas,,1.1,,01,500,1.0)
% 2.23/268.38 # Preprocessing time : 0.490 s
% 2.23/268.38 # Running protocol protocol_eprover_d8753ebeaa9aad70c7a4742461200d6169c65b7e for 23 seconds:
% 2.23/268.38 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,03,100,1.0)
% 2.23/268.38 # Preprocessing time : 0.374 s
% 2.23/268.38
% 2.23/268.38 # Proof found!
% 2.23/268.38 # SZS status Theorem
% 2.23/268.38 # SZS output start CNFRefutation
% See solution above
% 2.23/268.38 # Proof object total steps : 83
% 2.23/268.38 # Proof object clause steps : 52
% 2.23/268.38 # Proof object formula steps : 31
% 2.23/268.38 # Proof object conjectures : 36
% 2.23/268.38 # Proof object clause conjectures : 33
% 2.23/268.38 # Proof object formula conjectures : 3
% 2.23/268.38 # Proof object initial clauses used : 25
% 2.23/268.38 # Proof object initial formulas used : 15
% 2.23/268.38 # Proof object generating inferences : 23
% 2.23/268.38 # Proof object simplifying inferences : 53
% 2.23/268.38 # Training examples: 0 positive, 0 negative
% 2.23/268.38 # Parsed axioms : 13630
% 2.23/268.38 # Removed by relevancy pruning/SinE : 13529
% 2.23/268.38 # Initial clauses : 256
% 2.23/268.38 # Removed in clause preprocessing : 4
% 2.23/268.38 # Initial clauses in saturation : 252
% 2.23/268.38 # Processed clauses : 11062
% 2.23/268.38 # ...of these trivial : 101
% 2.23/268.38 # ...subsumed : 1309
% 2.23/268.38 # ...remaining for further processing : 9651
% 2.23/268.38 # Other redundant clauses eliminated : 12
% 2.23/268.38 # Clauses deleted for lack of memory : 555047
% 2.23/268.38 # Backward-subsumed : 21
% 2.23/268.38 # Backward-rewritten : 604
% 2.23/268.38 # Generated clauses : 686275
% 2.23/268.38 # ...of the previous two non-trivial : 682850
% 2.23/268.38 # Contextual simplify-reflections : 0
% 2.23/268.38 # Paramodulations : 685966
% 2.23/268.38 # Factorizations : 29
% 2.23/268.38 # Equation resolutions : 283
% 2.23/268.38 # Current number of processed clauses : 9019
% 2.23/268.38 # Positive orientable unit clauses : 831
% 2.23/268.38 # Positive unorientable unit clauses: 0
% 2.23/268.38 # Negative unit clauses : 442
% 2.23/268.38 # Non-unit-clauses : 7746
% 2.23/268.38 # Current number of unprocessed clauses: 104309
% 2.23/268.38 # ...number of literals in the above : 601715
% 2.23/268.38 # Current number of archived formulas : 0
% 2.23/268.38 # Current number of archived clauses : 625
% 2.23/268.38 # Clause-clause subsumption calls (NU) : 1675692
% 2.23/268.38 # Rec. Clause-clause subsumption calls : 58171
% 2.23/268.38 # Non-unit clause-clause subsumptions : 586
% 2.23/268.38 # Unit Clause-clause subsumption calls : 223841
% 2.23/268.38 # Rewrite failures with RHS unbound : 18
% 2.23/268.38 # BW rewrite match attempts : 3823
% 2.23/268.38 # BW rewrite match successes : 42
% 2.23/268.38 # Condensation attempts : 0
% 2.23/268.38 # Condensation successes : 0
% 2.23/268.38 # Termbank termtop insertions : 20341199
% 2.23/268.38
% 2.23/268.38 # -------------------------------------------------
% 2.23/268.38 # User time : 13.391 s
% 2.23/268.38 # System time : 0.136 s
% 2.23/268.38 # Total time : 13.527 s
% 2.23/268.38 # Maximum resident set size: 166268 pages
% 2.23/277.36 eprover: CPU time limit exceeded, terminating
% 2.23/277.39 eprover: CPU time limit exceeded, terminating
%------------------------------------------------------------------------------