TSTP Solution File: LAT313+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT313+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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 : Thu Aug 31 06:01:12 EDT 2023
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 52
% Syntax : Number of formulae : 103 ( 19 unt; 43 typ; 0 def)
% Number of atoms : 242 ( 24 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 287 ( 105 ~; 96 |; 54 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 33 >; 8 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-2 aty)
% Number of variables : 72 ( 1 sgn; 47 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v10_lattices: $i > $o ).
tff(decl_24,type,
l3_lattices: $i > $o ).
tff(decl_25,type,
m2_filter_2: ( $i * $i ) > $o ).
tff(decl_26,type,
v14_lattices: $i > $o ).
tff(decl_27,type,
k6_lattices: $i > $i ).
tff(decl_28,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_29,type,
u1_struct_0: $i > $i ).
tff(decl_30,type,
k17_filter_2: $i > $i ).
tff(decl_31,type,
r1_filter_2: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
v1_xboole_0: $i > $o ).
tff(decl_33,type,
v1_funct_1: $i > $o ).
tff(decl_34,type,
v4_lattices: $i > $o ).
tff(decl_35,type,
v5_lattices: $i > $o ).
tff(decl_36,type,
v6_lattices: $i > $o ).
tff(decl_37,type,
v7_lattices: $i > $o ).
tff(decl_38,type,
v8_lattices: $i > $o ).
tff(decl_39,type,
v9_lattices: $i > $o ).
tff(decl_40,type,
k1_zfmisc_1: $i > $i ).
tff(decl_41,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_42,type,
k19_filter_2: ( $i * $i ) > $i ).
tff(decl_43,type,
l2_lattices: $i > $o ).
tff(decl_44,type,
l1_lattices: $i > $o ).
tff(decl_45,type,
l1_struct_0: $i > $o ).
tff(decl_46,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_47,type,
k1_xboole_0: $i ).
tff(decl_48,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_49,type,
esk1_0: $i ).
tff(decl_50,type,
esk2_0: $i ).
tff(decl_51,type,
esk3_0: $i ).
tff(decl_52,type,
esk4_0: $i ).
tff(decl_53,type,
esk5_0: $i ).
tff(decl_54,type,
esk6_0: $i ).
tff(decl_55,type,
esk7_1: $i > $i ).
tff(decl_56,type,
esk8_1: $i > $i ).
tff(decl_57,type,
esk9_1: $i > $i ).
tff(decl_58,type,
esk10_1: $i > $i ).
tff(decl_59,type,
esk11_1: $i > $i ).
tff(decl_60,type,
esk12_0: $i ).
tff(decl_61,type,
esk13_1: $i > $i ).
tff(decl_62,type,
esk14_0: $i ).
tff(decl_63,type,
esk15_0: $i ).
tff(decl_64,type,
esk16_1: $i > $i ).
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(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(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(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(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/theBenchmark.p',dt_m2_lattice4) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(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(c_0_9,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_10,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_11,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_12,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_13,plain,
! [X11] :
( v3_struct_0(X11)
| ~ v10_lattices(X11)
| ~ l3_lattices(X11)
| k17_filter_2(X11) = u1_struct_0(X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_14,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
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,
! [X19,X20] :
( ( ~ v1_xboole_0(X20)
| ~ m2_filter_2(X20,X19)
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19) )
& ( m2_lattice4(X20,X19)
| ~ m2_filter_2(X20,X19)
| v3_struct_0(X19)
| ~ v10_lattices(X19)
| ~ l3_lattices(X19) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_18,plain,
! [X12] :
( v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12)
| m2_filter_2(k17_filter_2(X12),X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
cnf(c_0_19,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_13]) ).
cnf(c_0_20,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
! [X64,X65] :
( ( r1_filter_2(u1_struct_0(X64),k19_filter_2(X64,X65),k17_filter_2(X64))
| ~ v14_lattices(X64)
| ~ r2_hidden(k6_lattices(X64),X65)
| v1_xboole_0(X65)
| ~ m1_subset_1(X65,k1_zfmisc_1(u1_struct_0(X64)))
| v3_struct_0(X64)
| ~ v10_lattices(X64)
| ~ l3_lattices(X64) )
& ( k19_filter_2(X64,X65) = u1_struct_0(X64)
| ~ v14_lattices(X64)
| ~ r2_hidden(k6_lattices(X64),X65)
| v1_xboole_0(X65)
| ~ m1_subset_1(X65,k1_zfmisc_1(u1_struct_0(X64)))
| v3_struct_0(X64)
| ~ v10_lattices(X64)
| ~ l3_lattices(X64) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_24,plain,
! [X73,X74] :
( ~ r2_hidden(X73,X74)
| ~ v1_xboole_0(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_25,plain,
! [X21,X22] :
( v3_struct_0(X21)
| ~ v10_lattices(X21)
| ~ l3_lattices(X21)
| ~ m2_lattice4(X22,X21)
| m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_26,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_27,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_28,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]) ).
cnf(c_0_29,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_18]) ).
cnf(c_0_30,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_19,c_0_20]),c_0_21])]),c_0_22]) ).
fof(c_0_31,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]) ).
cnf(c_0_32,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_23]) ).
cnf(c_0_33,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,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_25]) ).
cnf(c_0_35,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_26,c_0_27]),c_0_20]),c_0_21])]),c_0_22]) ).
fof(c_0_36,plain,
! [X46,X47,X48] :
( ( ~ r1_filter_2(X46,X47,X48)
| X47 = X48
| v1_xboole_0(X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(X46))
| ~ m1_subset_1(X48,k1_zfmisc_1(X46)) )
& ( X47 != X48
| r1_filter_2(X46,X47,X48)
| v1_xboole_0(X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(X46))
| ~ m1_subset_1(X48,k1_zfmisc_1(X46)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
cnf(c_0_37,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_38,negated_conjecture,
m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_21])]),c_0_22]),c_0_30]) ).
fof(c_0_39,plain,
! [X60,X61] :
( v3_struct_0(X60)
| ~ v10_lattices(X60)
| ~ l3_lattices(X60)
| ~ m2_filter_2(X61,X60)
| r1_filter_2(u1_struct_0(X60),k19_filter_2(X60,X61),X61) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
cnf(c_0_40,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,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_34,c_0_35]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_42,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_44,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_36]) ).
cnf(c_0_45,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_37,c_0_38]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_46,negated_conjecture,
m2_lattice4(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_26,c_0_38]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_47,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_39]) ).
cnf(c_0_48,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_40,c_0_41]),c_0_42]),c_0_43]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_49,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_36]) ).
cnf(c_0_50,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_14]) ).
cnf(c_0_51,negated_conjecture,
( X1 = esk2_0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r1_filter_2(u1_struct_0(esk1_0),X1,esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_41]),c_0_45]) ).
cnf(c_0_52,negated_conjecture,
m1_subset_1(u1_struct_0(esk1_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_34,c_0_46]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_53,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0),
inference(rw,[status(thm)],[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_27]),c_0_20]),c_0_21])]),c_0_22]),c_0_48]) ).
cnf(c_0_54,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_55,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_50,c_0_30]) ).
cnf(c_0_56,negated_conjecture,
u1_struct_0(esk1_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_57,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk2_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_41]),c_0_45]) ).
cnf(c_0_58,negated_conjecture,
~ r1_filter_2(esk2_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56]),c_0_56]),c_0_56])]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_56]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT313+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n003.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 : 300
% 0.13/0.34 % DateTime : Thu Aug 24 04:35:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.017000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.021000 s
%------------------------------------------------------------------------------