TSTP Solution File: LAT294+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT294+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 : n025.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 06:00:48 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 37
% Syntax : Number of formulae : 82 ( 24 unt; 34 typ; 0 def)
% Number of atoms : 352 ( 20 equ)
% Maximal formula atoms : 38 ( 7 avg)
% Number of connectives : 502 ( 198 ~; 199 |; 70 &)
% ( 1 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 22 >; 20 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn; 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v1_xboole_0: $i > $o ).
tff(decl_23,type,
k1_zfmisc_1: $i > $i ).
tff(decl_24,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_25,type,
v1_funct_1: $i > $o ).
tff(decl_26,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_27,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
k1_realset1: ( $i * $i ) > $i ).
tff(decl_30,type,
r6_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_32,type,
v1_relat_1: $i > $o ).
tff(decl_33,type,
v2_funct_1: $i > $o ).
tff(decl_34,type,
r4_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
r5_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
k7_relat_1: ( $i * $i ) > $i ).
tff(decl_37,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
k1_xboole_0: $i ).
tff(decl_39,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_40,type,
esk1_0: $i ).
tff(decl_41,type,
esk2_0: $i ).
tff(decl_42,type,
esk3_0: $i ).
tff(decl_43,type,
esk4_0: $i ).
tff(decl_44,type,
esk5_0: $i ).
tff(decl_45,type,
esk6_0: $i ).
tff(decl_46,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk8_1: $i > $i ).
tff(decl_48,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk10_0: $i ).
tff(decl_50,type,
esk11_1: $i > $i ).
tff(decl_51,type,
esk12_0: $i ).
tff(decl_52,type,
esk13_0: $i ).
tff(decl_53,type,
esk14_1: $i > $i ).
tff(decl_54,type,
esk15_0: $i ).
tff(decl_55,type,
esk16_0: $i ).
fof(t3_filter_2,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2) )
=> ( ( r4_binop_1(X1,X3,X4)
=> r4_binop_1(X2,X5,X6) )
& ( r5_binop_1(X1,X3,X4)
=> r5_binop_1(X2,X5,X6) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_filter_2) ).
fof(t4_filter_2,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r6_binop_1(X1,X3,X4) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_filter_2) ).
fof(d11_binop_1,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( r6_binop_1(X1,X2,X3)
<=> ( r4_binop_1(X1,X2,X3)
& r5_binop_1(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_binop_1) ).
fof(c_0_3,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2) )
=> ( ( r4_binop_1(X1,X3,X4)
=> r4_binop_1(X2,X5,X6) )
& ( r5_binop_1(X1,X3,X4)
=> r5_binop_1(X2,X5,X6) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t3_filter_2]) ).
fof(c_0_4,plain,
! [X64,X65,X66,X67,X68,X69] :
( ( ~ r4_binop_1(X64,X66,X67)
| r4_binop_1(X65,X68,X69)
| X68 != k1_realset1(X66,X65)
| X69 != k1_realset1(X67,X65)
| ~ v1_funct_1(X69)
| ~ v1_funct_2(X69,k2_zfmisc_1(X65,X65),X65)
| ~ m2_relset_1(X69,k2_zfmisc_1(X65,X65),X65)
| ~ v1_funct_1(X68)
| ~ v1_funct_2(X68,k2_zfmisc_1(X65,X65),X65)
| ~ m2_relset_1(X68,k2_zfmisc_1(X65,X65),X65)
| ~ v1_funct_1(X67)
| ~ v1_funct_2(X67,k2_zfmisc_1(X64,X64),X64)
| ~ m2_relset_1(X67,k2_zfmisc_1(X64,X64),X64)
| ~ v1_funct_1(X66)
| ~ v1_funct_2(X66,k2_zfmisc_1(X64,X64),X64)
| ~ m2_relset_1(X66,k2_zfmisc_1(X64,X64),X64)
| v1_xboole_0(X65)
| ~ m1_subset_1(X65,k1_zfmisc_1(X64))
| v1_xboole_0(X64) )
& ( ~ r5_binop_1(X64,X66,X67)
| r5_binop_1(X65,X68,X69)
| X68 != k1_realset1(X66,X65)
| X69 != k1_realset1(X67,X65)
| ~ v1_funct_1(X69)
| ~ v1_funct_2(X69,k2_zfmisc_1(X65,X65),X65)
| ~ m2_relset_1(X69,k2_zfmisc_1(X65,X65),X65)
| ~ v1_funct_1(X68)
| ~ v1_funct_2(X68,k2_zfmisc_1(X65,X65),X65)
| ~ m2_relset_1(X68,k2_zfmisc_1(X65,X65),X65)
| ~ v1_funct_1(X67)
| ~ v1_funct_2(X67,k2_zfmisc_1(X64,X64),X64)
| ~ m2_relset_1(X67,k2_zfmisc_1(X64,X64),X64)
| ~ v1_funct_1(X66)
| ~ v1_funct_2(X66,k2_zfmisc_1(X64,X64),X64)
| ~ m2_relset_1(X66,k2_zfmisc_1(X64,X64),X64)
| v1_xboole_0(X65)
| ~ m1_subset_1(X65,k1_zfmisc_1(X64))
| v1_xboole_0(X64) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r6_binop_1(X1,X3,X4) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t4_filter_2])]) ).
cnf(c_0_6,plain,
( r5_binop_1(X4,X5,X6)
| v1_xboole_0(X4)
| v1_xboole_0(X1)
| ~ r5_binop_1(X1,X2,X3)
| X5 != k1_realset1(X2,X4)
| X6 != k1_realset1(X3,X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0))
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_1(esk4_0)
& v1_funct_2(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_1(esk5_0)
& v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& m2_relset_1(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_1(esk6_0)
& v1_funct_2(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& esk5_0 = k1_realset1(esk3_0,esk2_0)
& esk6_0 = k1_realset1(esk4_0,esk2_0)
& r6_binop_1(esk1_0,esk3_0,esk4_0)
& ~ r6_binop_1(esk2_0,esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,plain,
( r4_binop_1(X4,X5,X6)
| v1_xboole_0(X4)
| v1_xboole_0(X1)
| ~ r4_binop_1(X1,X2,X3)
| X5 != k1_realset1(X2,X4)
| X6 != k1_realset1(X3,X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X4)
| ~ r5_binop_1(X4,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X4)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
cnf(c_0_10,negated_conjecture,
esk6_0 = k1_realset1(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
v1_funct_2(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
v1_funct_1(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
! [X20,X21,X22] :
( ( r4_binop_1(X20,X21,X22)
| ~ r6_binop_1(X20,X21,X22)
| ~ v1_funct_1(X22)
| ~ v1_funct_2(X22,k2_zfmisc_1(X20,X20),X20)
| ~ m2_relset_1(X22,k2_zfmisc_1(X20,X20),X20)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,k2_zfmisc_1(X20,X20),X20)
| ~ m2_relset_1(X21,k2_zfmisc_1(X20,X20),X20) )
& ( r5_binop_1(X20,X21,X22)
| ~ r6_binop_1(X20,X21,X22)
| ~ v1_funct_1(X22)
| ~ v1_funct_2(X22,k2_zfmisc_1(X20,X20),X20)
| ~ m2_relset_1(X22,k2_zfmisc_1(X20,X20),X20)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,k2_zfmisc_1(X20,X20),X20)
| ~ m2_relset_1(X21,k2_zfmisc_1(X20,X20),X20) )
& ( ~ r4_binop_1(X20,X21,X22)
| ~ r5_binop_1(X20,X21,X22)
| r6_binop_1(X20,X21,X22)
| ~ v1_funct_1(X22)
| ~ v1_funct_2(X22,k2_zfmisc_1(X20,X20),X20)
| ~ m2_relset_1(X22,k2_zfmisc_1(X20,X20),X20)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,k2_zfmisc_1(X20,X20),X20)
| ~ m2_relset_1(X21,k2_zfmisc_1(X20,X20),X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_binop_1])])])]) ).
cnf(c_0_17,plain,
( r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X4)
| ~ r4_binop_1(X4,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X4)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_8])]) ).
cnf(c_0_18,negated_conjecture,
( r5_binop_1(esk2_0,k1_realset1(X1,esk2_0),esk6_0)
| v1_xboole_0(X2)
| ~ r5_binop_1(X2,X1,esk4_0)
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
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_9,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_19,negated_conjecture,
esk5_0 = k1_realset1(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
m2_relset_1(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,plain,
( r5_binop_1(X1,X2,X3)
| ~ r6_binop_1(X1,X2,X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,negated_conjecture,
v1_funct_2(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( r4_binop_1(esk2_0,k1_realset1(X1,esk2_0),esk6_0)
| v1_xboole_0(X2)
| ~ r4_binop_1(X2,X1,esk4_0)
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
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_17,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_28,plain,
( r4_binop_1(X1,X2,X3)
| ~ r6_binop_1(X1,X2,X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( r5_binop_1(esk2_0,esk5_0,esk6_0)
| v1_xboole_0(X1)
| ~ r5_binop_1(X1,esk3_0,esk4_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(esk3_0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
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_18,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_30,negated_conjecture,
m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_31,negated_conjecture,
v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_34,negated_conjecture,
( r5_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_14])]) ).
cnf(c_0_35,negated_conjecture,
r6_binop_1(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,negated_conjecture,
( r4_binop_1(esk2_0,esk5_0,esk6_0)
| v1_xboole_0(X1)
| ~ r4_binop_1(X1,esk3_0,esk4_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(esk3_0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
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_27,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_37,negated_conjecture,
( r4_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26]),c_0_14])]) ).
cnf(c_0_38,plain,
( r6_binop_1(X1,X2,X3)
| ~ r4_binop_1(X1,X2,X3)
| ~ r5_binop_1(X1,X2,X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_39,negated_conjecture,
( r5_binop_1(esk2_0,esk5_0,esk6_0)
| ~ r5_binop_1(esk1_0,esk3_0,esk4_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_29,c_0_25]),c_0_30]),c_0_26]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_40,negated_conjecture,
r5_binop_1(esk1_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_35]),c_0_31]),c_0_23])]) ).
cnf(c_0_41,negated_conjecture,
( r4_binop_1(esk2_0,esk5_0,esk6_0)
| ~ r4_binop_1(esk1_0,esk3_0,esk4_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_36,c_0_25]),c_0_30]),c_0_26]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_42,negated_conjecture,
r4_binop_1(esk1_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_35]),c_0_31]),c_0_23])]) ).
cnf(c_0_43,negated_conjecture,
( r6_binop_1(esk2_0,X1,esk6_0)
| ~ r5_binop_1(esk2_0,X1,esk6_0)
| ~ r4_binop_1(esk2_0,X1,esk6_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_44,negated_conjecture,
r5_binop_1(esk2_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_45,negated_conjecture,
r4_binop_1(esk2_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_46,negated_conjecture,
~ r6_binop_1(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_47,negated_conjecture,
$false,
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_43,c_0_20]),c_0_44]),c_0_45]),c_0_21]),c_0_22])]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT294+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
% 0.17/0.35 % Computer : n025.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 24 06:12:36 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.022000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.026000 s
%------------------------------------------------------------------------------