TSTP Solution File: LAT313+3 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LAT313+3 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 23:24:34 EDT 2024
% Result : Theorem 12.29s 2.58s
% Output : CNFRefutation 12.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 23 unt; 0 def)
% Number of atoms : 257 ( 23 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 295 ( 107 ~; 99 |; 55 &)
% ( 3 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 1 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(t43_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
& X2 = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_filter_2) ).
fof(d8_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(t42_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))) )
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
& k19_filter_2(X1,X2) = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_filter_2) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',dt_m2_lattice4) ).
fof(dt_k17_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(k17_filter_2(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_filter_2) ).
fof(t38_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_filter_2) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
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/benchmark/theBenchmark.p',redefinition_r1_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(t80_zfmisc_1,axiom,
! [X1] : r1_tarski(k1_tarski(X1),k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t80_zfmisc_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(c_0_12,plain,
! [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) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
& X2 = u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t43_filter_2])]) ).
fof(c_0_14,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d8_filter_2]) ).
fof(c_0_15,plain,
! [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))) )
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
& k19_filter_2(X1,X2) = u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t42_filter_2]) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_17,plain,
! [X126,X127] :
( ( ~ v1_xboole_0(X127)
| ~ m2_filter_2(X127,X126)
| v3_struct_0(X126)
| ~ v10_lattices(X126)
| ~ l3_lattices(X126) )
& ( m2_lattice4(X127,X126)
| ~ m2_filter_2(X127,X126)
| v3_struct_0(X126)
| ~ v10_lattices(X126)
| ~ l3_lattices(X126) ) ),
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_12])])])])]) ).
fof(c_0_18,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& v14_lattices(esk1_0)
& r2_hidden(k6_lattices(esk1_0),esk2_0)
& ( ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0))
| esk2_0 != u1_struct_0(esk1_0) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(k17_filter_2(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k17_filter_2]) ).
fof(c_0_20,plain,
! [X37] :
( v3_struct_0(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37)
| k17_filter_2(X37) = u1_struct_0(X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
inference(fof_simplification,[status(thm)],[t38_filter_2]) ).
fof(c_0_22,plain,
! [X39,X40] :
( ( r1_filter_2(u1_struct_0(X39),k19_filter_2(X39,X40),k17_filter_2(X39))
| ~ v14_lattices(X39)
| ~ r2_hidden(k6_lattices(X39),X40)
| v1_xboole_0(X40)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39) )
& ( k19_filter_2(X39,X40) = u1_struct_0(X39)
| ~ v14_lattices(X39)
| ~ r2_hidden(k6_lattices(X39),X40)
| v1_xboole_0(X40)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
fof(c_0_23,plain,
! [X50,X51] :
( ~ r2_hidden(X50,X51)
| ~ v1_xboole_0(X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
fof(c_0_24,plain,
! [X536,X537] :
( v3_struct_0(X536)
| ~ v10_lattices(X536)
| ~ l3_lattices(X536)
| ~ m2_lattice4(X537,X536)
| m1_subset_1(X537,k1_zfmisc_1(u1_struct_0(X536))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_25,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_30,plain,
! [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 ) ),
inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2]) ).
fof(c_0_31,plain,
! [X36] :
( v3_struct_0(X36)
| ~ v10_lattices(X36)
| ~ l3_lattices(X36)
| m2_filter_2(k17_filter_2(X36),X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_32,plain,
( v3_struct_0(X1)
| k17_filter_2(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_33,plain,
! [X31,X32] :
( v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31)
| ~ m2_filter_2(X32,X31)
| r1_filter_2(u1_struct_0(X31),k19_filter_2(X31,X32),X32) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
cnf(c_0_34,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,negated_conjecture,
m2_lattice4(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_25,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_38,plain,
! [X622,X623] :
( ( ~ r1_tarski(k1_tarski(X622),X623)
| r2_hidden(X622,X623) )
& ( ~ r2_hidden(X622,X623)
| r1_tarski(k1_tarski(X622),X623) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_zfmisc_1])])]) ).
fof(c_0_39,plain,
! [X629] : r1_tarski(k1_tarski(X629),k1_zfmisc_1(X629)),
inference(variable_rename,[status(thm)],[t80_zfmisc_1]) ).
fof(c_0_40,plain,
! [X23,X24,X25] :
( ( ~ r1_filter_2(X23,X24,X25)
| X24 = X25
| v1_xboole_0(X23)
| ~ m1_subset_1(X24,k1_zfmisc_1(X23))
| ~ m1_subset_1(X25,k1_zfmisc_1(X23)) )
& ( X24 != X25
| r1_filter_2(X23,X24,X25)
| v1_xboole_0(X23)
| ~ m1_subset_1(X24,k1_zfmisc_1(X23))
| ~ m1_subset_1(X25,k1_zfmisc_1(X23)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
cnf(c_0_41,plain,
( v3_struct_0(X1)
| m2_filter_2(k17_filter_2(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,negated_conjecture,
k17_filter_2(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(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_36,c_0_37]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_46,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_47,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_48,plain,
! [X65,X66] :
( ~ r2_hidden(X65,X66)
| m1_subset_1(X65,X66) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_49,plain,
( r2_hidden(X1,X2)
| ~ r1_tarski(k1_tarski(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,plain,
r1_tarski(k1_tarski(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,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_40]) ).
cnf(c_0_52,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_53,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_54,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk2_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_43,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_55,negated_conjecture,
k19_filter_2(esk1_0,esk2_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_27]),c_0_28]),c_0_47])]),c_0_29]) ).
cnf(c_0_56,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,plain,
r2_hidden(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,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_51]) ).
cnf(c_0_59,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(spm,[status(thm)],[c_0_52,c_0_53]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_60,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_40]) ).
cnf(c_0_61,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0))
| esk2_0 != u1_struct_0(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_64,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk2_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_45]),c_0_59]) ).
cnf(c_0_65,negated_conjecture,
u1_struct_0(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_60,c_0_61]),c_0_45]),c_0_62])]),c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( u1_struct_0(esk1_0) != esk2_0
| ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[c_0_63,c_0_42]) ).
cnf(c_0_67,negated_conjecture,
r1_filter_2(esk2_0,esk2_0,esk2_0),
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_65]),c_0_65]),c_0_65])]),c_0_67])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT313+3 : TPTP v8.2.0. Released v3.4.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 20:40:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 12.29/2.58 # Version: 3.1.0
% 12.29/2.58 # Preprocessing class: FMLLSMLLSSSNFFN.
% 12.29/2.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.29/2.58 # Starting new_bool_3 with 900s (3) cores
% 12.29/2.58 # Starting new_bool_1 with 900s (3) cores
% 12.29/2.58 # Starting sh5l with 300s (1) cores
% 12.29/2.58 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 12.29/2.58 # new_bool_3 with pid 15023 completed with status 0
% 12.29/2.58 # Result found by new_bool_3
% 12.29/2.58 # Preprocessing class: FMLLSMLLSSSNFFN.
% 12.29/2.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.29/2.58 # Starting new_bool_3 with 900s (3) cores
% 12.29/2.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.29/2.58 # Search class: FGHSM-SMLM32-MFFFFFNN
% 12.29/2.58 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 12.29/2.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 12.29/2.58 # Starting new_bool_3 with 91s (1) cores
% 12.29/2.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 12.29/2.58 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 15031 completed with status 0
% 12.29/2.58 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 12.29/2.58 # Preprocessing class: FMLLSMLLSSSNFFN.
% 12.29/2.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.29/2.58 # Starting new_bool_3 with 900s (3) cores
% 12.29/2.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.29/2.58 # Search class: FGHSM-SMLM32-MFFFFFNN
% 12.29/2.58 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 12.29/2.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 12.29/2.58 # Preprocessing time : 0.035 s
% 12.29/2.58 # Presaturation interreduction done
% 12.29/2.58
% 12.29/2.58 # Proof found!
% 12.29/2.58 # SZS status Theorem
% 12.29/2.58 # SZS output start CNFRefutation
% See solution above
% 12.29/2.58 # Parsed axioms : 13631
% 12.29/2.58 # Removed by relevancy pruning/SinE : 13003
% 12.29/2.58 # Initial clauses : 1536
% 12.29/2.58 # Removed in clause preprocessing : 74
% 12.29/2.58 # Initial clauses in saturation : 1462
% 12.29/2.58 # Processed clauses : 7284
% 12.29/2.58 # ...of these trivial : 63
% 12.29/2.58 # ...subsumed : 2280
% 12.29/2.58 # ...remaining for further processing : 4940
% 12.29/2.58 # Other redundant clauses eliminated : 133
% 12.29/2.58 # Clauses deleted for lack of memory : 0
% 12.29/2.58 # Backward-subsumed : 94
% 12.29/2.58 # Backward-rewritten : 537
% 12.29/2.58 # Generated clauses : 24999
% 12.29/2.58 # ...of the previous two non-redundant : 24373
% 12.29/2.58 # ...aggressively subsumed : 0
% 12.29/2.58 # Contextual simplify-reflections : 83
% 12.29/2.58 # Paramodulations : 24876
% 12.29/2.58 # Factorizations : 2
% 12.29/2.58 # NegExts : 0
% 12.29/2.58 # Equation resolutions : 138
% 12.29/2.58 # Disequality decompositions : 0
% 12.29/2.58 # Total rewrite steps : 3913
% 12.29/2.58 # ...of those cached : 3215
% 12.29/2.58 # Propositional unsat checks : 0
% 12.29/2.58 # Propositional check models : 0
% 12.29/2.58 # Propositional check unsatisfiable : 0
% 12.29/2.58 # Propositional clauses : 0
% 12.29/2.58 # Propositional clauses after purity: 0
% 12.29/2.58 # Propositional unsat core size : 0
% 12.29/2.58 # Propositional preprocessing time : 0.000
% 12.29/2.58 # Propositional encoding time : 0.000
% 12.29/2.58 # Propositional solver time : 0.000
% 12.29/2.58 # Success case prop preproc time : 0.000
% 12.29/2.58 # Success case prop encoding time : 0.000
% 12.29/2.58 # Success case prop solver time : 0.000
% 12.29/2.58 # Current number of processed clauses : 2854
% 12.29/2.58 # Positive orientable unit clauses : 601
% 12.29/2.58 # Positive unorientable unit clauses: 0
% 12.29/2.58 # Negative unit clauses : 767
% 12.29/2.58 # Non-unit-clauses : 1486
% 12.29/2.58 # Current number of unprocessed clauses: 19639
% 12.29/2.58 # ...number of literals in the above : 50685
% 12.29/2.58 # Current number of archived formulas : 0
% 12.29/2.58 # Current number of archived clauses : 1979
% 12.29/2.58 # Clause-clause subsumption calls (NU) : 1544495
% 12.29/2.58 # Rec. Clause-clause subsumption calls : 297419
% 12.29/2.58 # Non-unit clause-clause subsumptions : 557
% 12.29/2.58 # Unit Clause-clause subsumption calls : 156733
% 12.29/2.58 # Rewrite failures with RHS unbound : 0
% 12.29/2.58 # BW rewrite match attempts : 286
% 12.29/2.58 # BW rewrite match successes : 97
% 12.29/2.58 # Condensation attempts : 0
% 12.29/2.58 # Condensation successes : 0
% 12.29/2.58 # Termbank termtop insertions : 814613
% 12.29/2.58 # Search garbage collected termcells : 140475
% 12.29/2.58
% 12.29/2.58 # -------------------------------------------------
% 12.29/2.58 # User time : 1.463 s
% 12.29/2.58 # System time : 0.083 s
% 12.29/2.58 # Total time : 1.546 s
% 12.29/2.58 # Maximum resident set size: 26804 pages
% 12.29/2.58
% 12.29/2.58 # -------------------------------------------------
% 12.29/2.58 # User time : 4.613 s
% 12.29/2.58 # System time : 0.165 s
% 12.29/2.58 # Total time : 4.778 s
% 12.29/2.58 # Maximum resident set size: 20048 pages
% 12.29/2.58 % E---3.1 exiting
% 12.29/2.58 % E exiting
%------------------------------------------------------------------------------