TSTP Solution File: SEU277+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU277+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 16:24:03 EDT 2023
% Result : Theorem 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 38
% Syntax : Number of formulae : 102 ( 11 unt; 36 typ; 0 def)
% Number of atoms : 514 ( 129 equ)
% Maximal formula atoms : 231 ( 7 avg)
% Number of connectives : 756 ( 308 ~; 382 |; 58 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 54 ( 25 >; 29 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 11 con; 0-4 aty)
% Number of variables : 165 ( 0 sgn; 26 !; 14 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
relation: $i > $o ).
tff(decl_23,type,
function: $i > $o ).
tff(decl_24,type,
in: ( $i * $i ) > $o ).
tff(decl_25,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_26,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_27,type,
apply: ( $i * $i ) > $i ).
tff(decl_28,type,
one_to_one: $i > $o ).
tff(decl_29,type,
ordinal: $i > $o ).
tff(decl_30,type,
epsilon_transitive: $i > $o ).
tff(decl_31,type,
epsilon_connected: $i > $o ).
tff(decl_32,type,
empty: $i > $o ).
tff(decl_33,type,
esk1_0: $i ).
tff(decl_34,type,
esk2_0: $i ).
tff(decl_35,type,
esk3_0: $i ).
tff(decl_36,type,
esk4_1: $i > $i ).
tff(decl_37,type,
esk5_1: $i > $i ).
tff(decl_38,type,
esk6_1: $i > $i ).
tff(decl_39,type,
esk7_0: $i ).
tff(decl_40,type,
esk8_0: $i ).
tff(decl_41,type,
esk9_0: $i ).
tff(decl_42,type,
esk10_0: $i ).
tff(decl_43,type,
esk11_0: $i ).
tff(decl_44,type,
esk12_0: $i ).
tff(decl_45,type,
esk13_0: $i ).
tff(decl_46,type,
esk14_0: $i ).
tff(decl_47,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
fof(s1_tarski__e6_21__wellord2__1,axiom,
! [X1,X2,X3] :
( ( relation(X2)
& relation(X3)
& function(X3) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7,X8] :
( X5 = ordered_pair(X7,X8)
& in(ordered_pair(apply(X3,X7),apply(X3,X8)),X2) )
& X4 = X6
& ? [X9,X10] :
( X6 = ordered_pair(X9,X10)
& in(ordered_pair(apply(X3,X9),apply(X3,X10)),X2) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,cartesian_product2(X1,X1))
& X6 = X5
& ? [X11,X12] :
( X5 = ordered_pair(X11,X12)
& in(ordered_pair(apply(X3,X11),apply(X3,X12)),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_21__wellord2__1) ).
fof(s1_xboole_0__e6_21__wellord2__1,conjecture,
! [X1,X2,X3] :
( ( relation(X2)
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,cartesian_product2(X1,X1))
& ? [X6,X7] :
( X5 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_21__wellord2__1) ).
fof(c_0_2,plain,
! [X39,X40,X41,X50,X54,X55,X56,X57] :
( ( in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( esk23_4(X39,X40,X41,X50) = X50
| ~ in(X50,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( ~ in(X55,cartesian_product2(X39,X39))
| X55 != X54
| X54 != ordered_pair(X56,X57)
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| in(X54,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( esk23_4(X39,X40,X41,X50) = X50
| ~ in(X50,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( ~ in(X55,cartesian_product2(X39,X39))
| X55 != X54
| X54 != ordered_pair(X56,X57)
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| in(X54,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39))
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( esk23_4(X39,X40,X41,X50) = X50
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50))
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( ~ in(X55,cartesian_product2(X39,X39))
| X55 != X54
| X54 != ordered_pair(X56,X57)
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| in(X54,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( esk23_4(X39,X40,X41,X50) = X50
| ~ in(X50,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( ~ in(X55,cartesian_product2(X39,X39))
| X55 != X54
| X54 != ordered_pair(X56,X57)
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| in(X54,esk22_3(X39,X40,X41))
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( esk23_4(X39,X40,X41,X50) = X50
| ~ in(X50,esk22_3(X39,X40,X41))
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( ~ in(X55,cartesian_product2(X39,X39))
| X55 != X54
| X54 != ordered_pair(X56,X57)
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| in(X54,esk22_3(X39,X40,X41))
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39))
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( esk23_4(X39,X40,X41,X50) = X50
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50))
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( ~ in(X55,cartesian_product2(X39,X39))
| X55 != X54
| X54 != ordered_pair(X56,X57)
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| in(X54,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( esk23_4(X39,X40,X41,X50) = X50
| ~ in(X50,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) )
& ( ~ in(X55,cartesian_product2(X39,X39))
| X55 != X54
| X54 != ordered_pair(X56,X57)
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| in(X54,esk22_3(X39,X40,X41))
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| ~ relation(X40)
| ~ relation(X41)
| ~ function(X41) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e6_21__wellord2__1])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X2)
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,cartesian_product2(X1,X1))
& ? [X6,X7] :
( X5 = ordered_pair(X6,X7)
& in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2) ) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e6_21__wellord2__1]) ).
cnf(c_0_4,plain,
( in(X3,esk22_3(X2,X7,X6))
| esk15_3(X2,X7,X6) = esk16_3(X2,X7,X6)
| ~ in(X1,cartesian_product2(X2,X2))
| X1 != X3
| X3 != ordered_pair(X4,X5)
| ~ in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)
| ~ relation(X7)
| ~ relation(X6)
| ~ function(X6) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X16,X18,X19] :
( relation(esk2_0)
& relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk4_1(X16),X16)
| ~ in(esk4_1(X16),cartesian_product2(esk1_0,esk1_0))
| esk4_1(X16) != ordered_pair(X18,X19)
| ~ in(ordered_pair(apply(esk3_0,X18),apply(esk3_0,X19)),esk2_0) )
& ( in(esk4_1(X16),cartesian_product2(esk1_0,esk1_0))
| in(esk4_1(X16),X16) )
& ( esk4_1(X16) = ordered_pair(esk5_1(X16),esk6_1(X16))
| in(esk4_1(X16),X16) )
& ( in(ordered_pair(apply(esk3_0,esk5_1(X16)),apply(esk3_0,esk6_1(X16))),esk2_0)
| in(esk4_1(X16),X16) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
cnf(c_0_6,plain,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))
| ~ in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X1))
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4])]) ).
cnf(c_0_7,negated_conjecture,
( esk4_1(X1) = ordered_pair(esk5_1(X1),esk6_1(X1))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(esk4_1(X4),esk22_3(X1,X2,X3))
| in(esk4_1(X4),X4)
| ~ in(ordered_pair(apply(X3,esk5_1(X4)),apply(X3,esk6_1(X4))),X2)
| ~ in(esk4_1(X4),cartesian_product2(X1,X1))
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( esk15_3(esk1_0,X1,X2) = esk16_3(esk1_0,X1,X2)
| in(esk4_1(X3),esk22_3(esk1_0,X1,X2))
| in(esk4_1(X3),X3)
| ~ in(ordered_pair(apply(X2,esk5_1(X3)),apply(X2,esk6_1(X3))),X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( in(ordered_pair(apply(esk3_0,esk5_1(X1)),apply(esk3_0,esk6_1(X1))),esk2_0)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_16,plain,
( in(X3,esk22_3(X2,X7,X6))
| esk15_3(X2,X7,X6) = esk17_3(X2,X7,X6)
| ~ in(X1,cartesian_product2(X2,X2))
| X1 != X3
| X3 != ordered_pair(X4,X5)
| ~ in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)
| ~ relation(X7)
| ~ relation(X6)
| ~ function(X6) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,plain,
( X1 = ordered_pair(esk24_4(X2,X3,X4,X1),esk25_4(X2,X3,X4,X1))
| esk15_3(X2,X3,X4) = esk16_3(X2,X3,X4)
| ~ in(X1,esk22_3(X2,X3,X4))
| ~ relation(X3)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3)
| esk15_3(X2,X3,X1) = esk16_3(X2,X3,X1)
| ~ in(X4,esk22_3(X2,X3,X1))
| ~ relation(X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,plain,
( in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))
| esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| ~ in(X4,esk22_3(X1,X2,X3))
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,plain,
( esk23_4(X1,X2,X3,X4) = X4
| esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| ~ in(X4,esk22_3(X1,X2,X3))
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,plain,
( esk15_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))
| ~ in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X1))
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])]) ).
cnf(c_0_23,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| esk4_1(X1) != ordered_pair(X2,X3)
| ~ in(ordered_pair(apply(esk3_0,X2),apply(esk3_0,X3)),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( ordered_pair(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12]),c_0_14]),c_0_13])]) ).
cnf(c_0_25,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_26,negated_conjecture,
( esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(esk23_4(X1,X2,X3,esk4_1(esk22_3(X1,X2,X3))),cartesian_product2(X1,X1))
| in(esk4_1(esk22_3(X1,X2,X3)),cartesian_product2(esk1_0,esk1_0))
| ~ function(X3)
| ~ relation(X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_27,negated_conjecture,
( esk23_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_12]),c_0_14]),c_0_13])]) ).
cnf(c_0_28,negated_conjecture,
( esk15_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| in(esk4_1(X4),esk22_3(X1,X2,X3))
| in(esk4_1(X4),X4)
| ~ in(ordered_pair(apply(X3,esk5_1(X4)),apply(X3,esk6_1(X4))),X2)
| ~ in(esk4_1(X4),cartesian_product2(X1,X1))
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_29,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_12]),c_0_14]),c_0_13])]) ).
cnf(c_0_31,plain,
( in(X3,esk22_3(X2,X7,X6))
| ~ in(X1,cartesian_product2(X2,X2))
| X1 != X3
| X3 != ordered_pair(X4,X5)
| ~ in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)
| esk16_3(X2,X7,X6) != esk17_3(X2,X7,X6)
| ~ relation(X7)
| ~ relation(X6)
| ~ function(X6) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,negated_conjecture,
( esk15_3(esk1_0,X1,X2) = esk17_3(esk1_0,X1,X2)
| in(esk4_1(X3),esk22_3(esk1_0,X1,X2))
| in(esk4_1(X3),X3)
| ~ in(ordered_pair(apply(X2,esk5_1(X3)),apply(X2,esk6_1(X3))),X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_9]) ).
cnf(c_0_33,negated_conjecture,
esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_30]),c_0_18]) ).
cnf(c_0_34,plain,
( in(ordered_pair(X1,X2),esk22_3(X3,X4,X5))
| esk17_3(X3,X4,X5) != esk16_3(X3,X4,X5)
| ~ in(ordered_pair(apply(X5,X1),apply(X5,X2)),X4)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X3))
| ~ function(X5)
| ~ relation(X4)
| ~ relation(X5) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])]) ).
cnf(c_0_35,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),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_32,c_0_11]),c_0_33]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_36,negated_conjecture,
( in(ordered_pair(X1,X2),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X3),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X3),X3)
| ~ in(ordered_pair(apply(esk3_0,X1),apply(esk3_0,X2)),esk2_0)
| ~ in(ordered_pair(X1,X2),cartesian_product2(esk1_0,esk1_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_35]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_37,negated_conjecture,
( in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_7]),c_0_9]),c_0_11]) ).
cnf(c_0_38,negated_conjecture,
( in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(ef,[status(thm)],[c_0_37]) ).
cnf(c_0_39,plain,
( X1 = ordered_pair(esk24_4(X2,X3,X4,X1),esk25_4(X2,X3,X4,X1))
| esk15_3(X2,X3,X4) = esk17_3(X2,X3,X4)
| ~ in(X1,esk22_3(X2,X3,X4))
| ~ relation(X3)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),esk22_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_38]) ).
cnf(c_0_41,plain,
( in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))
| esk15_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| ~ in(X4,esk22_3(X1,X2,X3))
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( esk23_4(X1,X2,X3,X4) = X4
| esk15_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| ~ in(X4,esk22_3(X1,X2,X3))
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,negated_conjecture,
( ordered_pair(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| esk17_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0) ),
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_39,c_0_40]),c_0_33]),c_0_12]),c_0_14]),c_0_13])]) ).
cnf(c_0_45,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk23_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),cartesian_product2(esk1_0,esk1_0)) ),
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_41,c_0_42]),c_0_33]),c_0_12]),c_0_14]),c_0_13])]) ).
cnf(c_0_46,negated_conjecture,
( esk23_4(X1,X2,X3,esk4_1(esk22_3(X1,X2,X3))) = esk4_1(esk22_3(X1,X2,X3))
| esk15_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| in(esk4_1(esk22_3(X1,X2,X3)),cartesian_product2(esk1_0,esk1_0))
| ~ function(X3)
| ~ relation(X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_9]) ).
cnf(c_0_47,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| ~ in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))))),esk2_0)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)) ),
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_45,c_0_46]),c_0_33]),c_0_12]),c_0_14]),c_0_13])]) ).
cnf(c_0_49,plain,
( in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3)
| esk15_3(X2,X3,X1) = esk17_3(X2,X3,X1)
| ~ in(X4,esk22_3(X2,X3,X1))
| ~ relation(X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_50,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| ~ in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))))),esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_47]),c_0_40])]),c_0_48]) ).
cnf(c_0_51,plain,
( X1 = ordered_pair(esk24_4(X2,X3,X4,X1),esk25_4(X2,X3,X4,X1))
| ~ in(X1,esk22_3(X2,X3,X4))
| esk16_3(X2,X3,X4) != esk17_3(X2,X3,X4)
| ~ relation(X3)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_52,negated_conjecture,
esk17_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0),
inference(csr,[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_49,c_0_40]),c_0_33]),c_0_12]),c_0_13]),c_0_14])]),c_0_50]) ).
cnf(c_0_53,plain,
( esk23_4(X1,X2,X3,X4) = X4
| ~ in(X4,esk22_3(X1,X2,X3))
| esk16_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_54,negated_conjecture,
( ordered_pair(esk24_4(esk1_0,esk2_0,esk3_0,X1),esk25_4(esk1_0,esk2_0,esk3_0,X1)) = X1
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_12]),c_0_14]),c_0_13])]) ).
cnf(c_0_55,plain,
( in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1))
| ~ in(X4,esk22_3(X1,X2,X3))
| esk16_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_56,negated_conjecture,
( esk23_4(esk1_0,esk2_0,esk3_0,X1) = X1
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_12]),c_0_14]),c_0_13])]) ).
cnf(c_0_57,negated_conjecture,
ordered_pair(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))),esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))) = esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_54,c_0_40]) ).
cnf(c_0_58,negated_conjecture,
( in(esk23_4(esk1_0,esk2_0,esk3_0,X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_12]),c_0_14]),c_0_13])]) ).
cnf(c_0_59,negated_conjecture,
esk23_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_60,plain,
( in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3)
| ~ in(X4,esk22_3(X2,X3,X1))
| esk16_3(X2,X3,X1) != esk17_3(X2,X3,X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_61,negated_conjecture,
( esk4_1(X1) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| ~ in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))))),esk2_0)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,X1)),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,X1))),esk2_0)
| ~ in(X1,esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_52]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_64,negated_conjecture,
~ in(ordered_pair(apply(esk3_0,esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)))),apply(esk3_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))))),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_61]),c_0_62]),c_0_40])]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_40]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU277+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.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 : Wed Aug 23 18:45:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.65 % Version : CSE_E---1.5
% 0.19/0.65 % Problem : theBenchmark.p
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark.p
% 0.19/0.65 % SZS output start Proof
% See solution above
% 0.19/0.66 % Total time : 0.081000 s
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time : 0.085000 s
%------------------------------------------------------------------------------