TSTP Solution File: LAT359+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT359+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 06:02:01 EDT 2023
% Result : Theorem 0.20s 0.68s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 64
% Syntax : Number of formulae : 126 ( 18 unt; 50 typ; 0 def)
% Number of atoms : 241 ( 53 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 282 ( 117 ~; 104 |; 34 &)
% ( 6 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 35 >; 11 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 15 con; 0-3 aty)
% Number of variables : 157 ( 16 sgn; 71 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
l2_altcat_1: $i > $o ).
tff(decl_24,type,
u1_altcat_1: $i > $i ).
tff(decl_25,type,
k1_binop_1: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_27,type,
u1_struct_0: $i > $i ).
tff(decl_28,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_29,type,
k1_altcat_1: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
v1_membered: $i > $o ).
tff(decl_31,type,
v1_xcmplx_0: $i > $o ).
tff(decl_32,type,
v2_membered: $i > $o ).
tff(decl_33,type,
v1_xreal_0: $i > $o ).
tff(decl_34,type,
v3_membered: $i > $o ).
tff(decl_35,type,
v1_rat_1: $i > $o ).
tff(decl_36,type,
v4_membered: $i > $o ).
tff(decl_37,type,
v1_int_1: $i > $o ).
tff(decl_38,type,
v5_membered: $i > $o ).
tff(decl_39,type,
v4_ordinal2: $i > $o ).
tff(decl_40,type,
v1_xboole_0: $i > $o ).
tff(decl_41,type,
v1_finset_1: $i > $o ).
tff(decl_42,type,
v1_funct_1: $i > $o ).
tff(decl_43,type,
v1_setfam_1: $i > $o ).
tff(decl_44,type,
v1_relat_1: $i > $o ).
tff(decl_45,type,
v2_funct_1: $i > $o ).
tff(decl_46,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_47,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_48,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_49,type,
l1_altcat_1: $i > $o ).
tff(decl_50,type,
m1_pboole: ( $i * $i ) > $o ).
tff(decl_51,type,
k1_relat_1: $i > $i ).
tff(decl_52,type,
k1_xboole_0: $i ).
tff(decl_53,type,
k1_tarski: $i > $i ).
tff(decl_54,type,
l1_struct_0: $i > $o ).
tff(decl_55,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_56,type,
esk1_0: $i ).
tff(decl_57,type,
esk2_0: $i ).
tff(decl_58,type,
esk3_0: $i ).
tff(decl_59,type,
esk4_0: $i ).
tff(decl_60,type,
esk5_0: $i ).
tff(decl_61,type,
esk6_0: $i ).
tff(decl_62,type,
esk7_0: $i ).
tff(decl_63,type,
esk8_1: $i > $i ).
tff(decl_64,type,
esk9_1: $i > $i ).
tff(decl_65,type,
esk10_0: $i ).
tff(decl_66,type,
esk11_0: $i ).
tff(decl_67,type,
esk12_0: $i ).
tff(decl_68,type,
esk13_0: $i ).
tff(decl_69,type,
esk14_0: $i ).
tff(decl_70,type,
esk15_0: $i ).
tff(decl_71,type,
esk16_0: $i ).
fof(d1_binop_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2,X3] : k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k4_tarski(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_binop_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(t106_zfmisc_1,axiom,
! [X1,X2,X3,X4] :
( r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))
<=> ( r2_hidden(X1,X3)
& r2_hidden(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(d3_pboole,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( m1_pboole(X2,X1)
<=> k1_relat_1(X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pboole) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pboole) ).
fof(d4_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( ( r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> r2_hidden(k4_tarski(X2,X3),X1) ) )
& ( ~ r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> X3 = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : k2_tarski(X1,X2) = k2_tarski(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(dt_u1_altcat_1,axiom,
! [X1] :
( l1_altcat_1(X1)
=> m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_altcat_1) ).
fof(t12_waybel34,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_altcat_1(X1) )
=> ! [X2,X3,X4] :
~ ( r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ~ ( X5 = X2
& X6 = X3
& r2_hidden(X4,k1_altcat_1(X1,X5,X6))
& m1_subset_1(X4,k1_altcat_1(X1,X5,X6)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_waybel34) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(d2_altcat_1,axiom,
! [X1] :
( l1_altcat_1(X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_altcat_1(X1,X2,X3) = k1_binop_1(u1_altcat_1(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_altcat_1) ).
fof(c_0_14,plain,
! [X37,X38,X39] :
( ~ v1_relat_1(X37)
| ~ v1_funct_1(X37)
| k1_binop_1(X37,X38,X39) = k1_funct_1(X37,k4_tarski(X38,X39)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_binop_1])])]) ).
fof(c_0_15,plain,
! [X48,X49] : k4_tarski(X48,X49) = k2_tarski(k2_tarski(X48,X49),k1_tarski(X48)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_16,plain,
! [X93,X94,X95,X96] :
( ( r2_hidden(X93,X95)
| ~ r2_hidden(k4_tarski(X93,X94),k2_zfmisc_1(X95,X96)) )
& ( r2_hidden(X94,X96)
| ~ r2_hidden(k4_tarski(X93,X94),k2_zfmisc_1(X95,X96)) )
& ( ~ r2_hidden(X93,X95)
| ~ r2_hidden(X94,X96)
| r2_hidden(k4_tarski(X93,X94),k2_zfmisc_1(X95,X96)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])]) ).
fof(c_0_17,plain,
! [X43,X44] :
( ( ~ m1_pboole(X44,X43)
| k1_relat_1(X44) = X43
| ~ v1_relat_1(X44)
| ~ v1_funct_1(X44) )
& ( k1_relat_1(X44) != X43
| m1_pboole(X44,X43)
| ~ v1_relat_1(X44)
| ~ v1_funct_1(X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])]) ).
fof(c_0_18,plain,
! [X52,X53] :
( ( v1_relat_1(X53)
| ~ m1_pboole(X53,X52) )
& ( v1_funct_1(X53)
| ~ m1_pboole(X53,X52) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])]) ).
fof(c_0_19,plain,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( ( r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> r2_hidden(k4_tarski(X2,X3),X1) ) )
& ( ~ r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> X3 = k1_xboole_0 ) ) ) ),
inference(fof_simplification,[status(thm)],[d4_funct_1]) ).
cnf(c_0_20,plain,
( k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k4_tarski(X2,X3))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
k4_tarski(X1,X2) = k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X35,X36] : k2_tarski(X35,X36) = k2_tarski(X36,X35),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_23,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X3,X1),k2_zfmisc_1(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_27,plain,
! [X54] :
( ~ l1_altcat_1(X54)
| m1_pboole(u1_altcat_1(X54),k2_zfmisc_1(u1_struct_0(X54),u1_struct_0(X54))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_altcat_1])]) ).
fof(c_0_28,plain,
! [X45,X46,X47] :
( ( X47 != k1_funct_1(X45,X46)
| r2_hidden(k4_tarski(X46,X47),X45)
| ~ r2_hidden(X46,k1_relat_1(X45))
| ~ v1_relat_1(X45)
| ~ v1_funct_1(X45) )
& ( ~ r2_hidden(k4_tarski(X46,X47),X45)
| X47 = k1_funct_1(X45,X46)
| ~ r2_hidden(X46,k1_relat_1(X45))
| ~ v1_relat_1(X45)
| ~ v1_funct_1(X45) )
& ( X47 != k1_funct_1(X45,X46)
| X47 = k1_xboole_0
| r2_hidden(X46,k1_relat_1(X45))
| ~ v1_relat_1(X45)
| ~ v1_funct_1(X45) )
& ( X47 != k1_xboole_0
| X47 = k1_funct_1(X45,X46)
| r2_hidden(X46,k1_relat_1(X45))
| ~ v1_relat_1(X45)
| ~ v1_funct_1(X45) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_29,plain,
( k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_31,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l2_altcat_1(X1) )
=> ! [X2,X3,X4] :
~ ( r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ~ ( X5 = X2
& X6 = X3
& r2_hidden(X4,k1_altcat_1(X1,X5,X6))
& m1_subset_1(X4,k1_altcat_1(X1,X5,X6)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_waybel34])]) ).
cnf(c_0_32,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X1),k1_tarski(X3)),k2_zfmisc_1(X4,X2)) ),
inference(rw,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_33,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_34,plain,
( m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ l1_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( X1 = k1_xboole_0
| r2_hidden(X3,k1_relat_1(X2))
| X1 != k1_funct_1(X2,X3)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( k1_funct_1(X1,k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))) = k1_binop_1(X1,X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X1,X3),k2_zfmisc_1(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_38,plain,
! [X102,X103] :
( ~ r2_hidden(X102,X103)
| ~ v1_xboole_0(X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_39,negated_conjecture,
! [X11,X12] :
( ~ v3_struct_0(esk1_0)
& l2_altcat_1(esk1_0)
& r2_hidden(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0))
& ( ~ m1_subset_1(X11,u1_struct_0(esk1_0))
| ~ m1_subset_1(X12,u1_struct_0(esk1_0))
| X11 != esk2_0
| X12 != esk3_0
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X11,X12))
| ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X11,X12)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
cnf(c_0_40,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k2_tarski(k1_tarski(X3),k2_tarski(X3,X1)),k2_zfmisc_1(X4,X2)) ),
inference(rw,[status(thm)],[c_0_32,c_0_30]) ).
cnf(c_0_41,plain,
( k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)) = k1_relat_1(u1_altcat_1(X1))
| ~ l1_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,plain,
( X1 = k1_xboole_0
| r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),k1_relat_1(X4))
| X1 != k1_binop_1(X4,X2,X3)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_43,plain,
! [X51] :
( ~ l2_altcat_1(X51)
| l1_altcat_1(X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])]) ).
cnf(c_0_44,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k1_tarski(X1)),k2_zfmisc_1(X2,X4)) ),
inference(rw,[status(thm)],[c_0_37,c_0_21]) ).
cnf(c_0_45,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
r2_hidden(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_altcat_1(X2)
| ~ r2_hidden(k2_tarski(k1_tarski(X3),k2_tarski(X3,X1)),k1_relat_1(u1_altcat_1(X2))) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( k1_binop_1(X1,X2,X3) = k1_xboole_0
| r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( v1_funct_1(u1_altcat_1(X1))
| ~ l1_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_34]) ).
cnf(c_0_50,plain,
( v1_relat_1(u1_altcat_1(X1))
| ~ l1_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_34]) ).
cnf(c_0_51,plain,
( l1_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
l2_altcat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X3)),k2_zfmisc_1(X2,X4)) ),
inference(rw,[status(thm)],[c_0_44,c_0_30]) ).
fof(c_0_54,plain,
! [X97,X98] :
( ~ r2_hidden(X97,X98)
| m1_subset_1(X97,X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_55,negated_conjecture,
~ v1_xboole_0(k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,plain,
( k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_xboole_0
| r2_hidden(X3,u1_struct_0(X1))
| ~ l1_altcat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_57,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
cnf(c_0_58,negated_conjecture,
l1_altcat_1(esk1_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_altcat_1(X2)
| ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X3)),k1_relat_1(u1_altcat_1(X2))) ),
inference(spm,[status(thm)],[c_0_53,c_0_41]) ).
cnf(c_0_60,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| X1 != esk2_0
| X2 != esk3_0
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X1,X2))
| ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_61,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_62,plain,
! [X40,X41,X42] :
( ~ l1_altcat_1(X40)
| ~ m1_subset_1(X41,u1_struct_0(X40))
| ~ m1_subset_1(X42,u1_struct_0(X40))
| k1_altcat_1(X40,X41,X42) = k1_binop_1(u1_altcat_1(X40),X41,X42) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_altcat_1])])]) ).
cnf(c_0_63,negated_conjecture,
r2_hidden(esk3_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_64,plain,
( k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_xboole_0
| r2_hidden(X2,u1_struct_0(X1))
| ~ l1_altcat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_65,negated_conjecture,
( X1 != esk3_0
| X2 != esk2_0
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X2,X1)) ),
inference(csr,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( k1_altcat_1(X1,X2,X3) = k1_binop_1(u1_altcat_1(X1),X2,X3)
| ~ l1_altcat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_61,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
r2_hidden(esk2_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_64]),c_0_57]),c_0_58])]) ).
cnf(c_0_69,negated_conjecture,
( X1 != esk2_0
| ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X1,esk3_0)) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( k1_binop_1(u1_altcat_1(esk1_0),X1,esk3_0) = k1_altcat_1(esk1_0,X1,esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_58])]) ).
cnf(c_0_71,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_61,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( X1 != esk2_0
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X1,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_67])]) ).
cnf(c_0_73,negated_conjecture,
k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0) = k1_altcat_1(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_71])]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_73]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT359+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n004.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 04:22:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 0.20/0.68 % Version : CSE_E---1.5
% 0.20/0.68 % Problem : theBenchmark.p
% 0.20/0.68 % Proof found
% 0.20/0.68 % SZS status Theorem for theBenchmark.p
% 0.20/0.68 % SZS output start Proof
% See solution above
% 0.20/0.69 % Total time : 0.129000 s
% 0.20/0.69 % SZS output end Proof
% 0.20/0.69 % Total time : 0.133000 s
%------------------------------------------------------------------------------