TSTP Solution File: SEU272+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU272+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 : n016.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 16:24:01 EDT 2023
% Result : Theorem 0.99s 1.06s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 25
% Syntax : Number of formulae : 93 ( 12 unt; 23 typ; 0 def)
% Number of atoms : 493 ( 142 equ)
% Maximal formula atoms : 252 ( 7 avg)
% Number of connectives : 680 ( 257 ~; 340 |; 75 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 17 >; 11 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 122 ( 0 sgn; 20 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ordinal: $i > $o ).
tff(decl_23,type,
in: ( $i * $i ) > $o ).
tff(decl_24,type,
succ: $i > $i ).
tff(decl_25,type,
empty: $i > $o ).
tff(decl_26,type,
function: $i > $o ).
tff(decl_27,type,
epsilon_transitive: $i > $o ).
tff(decl_28,type,
epsilon_connected: $i > $o ).
tff(decl_29,type,
esk1_0: $i ).
tff(decl_30,type,
esk2_0: $i ).
tff(decl_31,type,
esk3_1: $i > $i ).
tff(decl_32,type,
esk4_1: $i > $i ).
tff(decl_33,type,
esk5_0: $i ).
tff(decl_34,type,
esk6_0: $i ).
tff(decl_35,type,
esk7_0: $i ).
tff(decl_36,type,
esk8_0: $i ).
tff(decl_37,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_42,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk16_3: ( $i * $i * $i ) > $i ).
fof(s1_xboole_0__e8_6__wellord2__1,conjecture,
! [X1,X2] :
( ordinal(X2)
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,succ(X2))
& ? [X5] :
( ordinal(X5)
& X4 = X5
& in(X5,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e8_6__wellord2__1) ).
fof(s1_tarski__e8_6__wellord2__1,axiom,
! [X1,X2] :
( ordinal(X2)
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( ordinal(X6)
& X4 = X6
& in(X6,X1) )
& X3 = X5
& ? [X7] :
( ordinal(X7)
& X5 = X7
& in(X7,X1) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,succ(X2))
& X5 = X4
& ? [X8] :
( ordinal(X8)
& X4 = X8
& in(X8,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e8_6__wellord2__1) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2] :
( ordinal(X2)
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,succ(X2))
& ? [X5] :
( ordinal(X5)
& X4 = X5
& in(X5,X1) ) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e8_6__wellord2__1]) ).
fof(c_0_3,plain,
! [X27,X28,X35,X38,X39,X40] :
( ( in(esk15_3(X27,X28,X35),succ(X28))
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk10_2(X27,X28)
| ~ ordinal(X28) )
& ( esk15_3(X27,X28,X35) = X35
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk10_2(X27,X28)
| ~ ordinal(X28) )
& ( ordinal(esk16_3(X27,X28,X35))
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk10_2(X27,X28)
| ~ ordinal(X28) )
& ( X35 = esk16_3(X27,X28,X35)
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk10_2(X27,X28)
| ~ ordinal(X28) )
& ( in(esk16_3(X27,X28,X35),X27)
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk10_2(X27,X28)
| ~ ordinal(X28) )
& ( ~ in(X39,succ(X28))
| X39 != X38
| ~ ordinal(X40)
| X38 != X40
| ~ in(X40,X27)
| in(X38,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk10_2(X27,X28)
| ~ ordinal(X28) )
& ( in(esk15_3(X27,X28,X35),succ(X28))
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk12_2(X27,X28))
| ~ ordinal(X28) )
& ( esk15_3(X27,X28,X35) = X35
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk12_2(X27,X28))
| ~ ordinal(X28) )
& ( ordinal(esk16_3(X27,X28,X35))
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk12_2(X27,X28))
| ~ ordinal(X28) )
& ( X35 = esk16_3(X27,X28,X35)
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk12_2(X27,X28))
| ~ ordinal(X28) )
& ( in(esk16_3(X27,X28,X35),X27)
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk12_2(X27,X28))
| ~ ordinal(X28) )
& ( ~ in(X39,succ(X28))
| X39 != X38
| ~ ordinal(X40)
| X38 != X40
| ~ in(X40,X27)
| in(X38,esk14_2(X27,X28))
| ordinal(esk12_2(X27,X28))
| ~ ordinal(X28) )
& ( in(esk15_3(X27,X28,X35),succ(X28))
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) = esk12_2(X27,X28)
| ~ ordinal(X28) )
& ( esk15_3(X27,X28,X35) = X35
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) = esk12_2(X27,X28)
| ~ ordinal(X28) )
& ( ordinal(esk16_3(X27,X28,X35))
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) = esk12_2(X27,X28)
| ~ ordinal(X28) )
& ( X35 = esk16_3(X27,X28,X35)
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) = esk12_2(X27,X28)
| ~ ordinal(X28) )
& ( in(esk16_3(X27,X28,X35),X27)
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) = esk12_2(X27,X28)
| ~ ordinal(X28) )
& ( ~ in(X39,succ(X28))
| X39 != X38
| ~ ordinal(X40)
| X38 != X40
| ~ in(X40,X27)
| in(X38,esk14_2(X27,X28))
| esk10_2(X27,X28) = esk12_2(X27,X28)
| ~ ordinal(X28) )
& ( in(esk15_3(X27,X28,X35),succ(X28))
| ~ in(X35,esk14_2(X27,X28))
| in(esk12_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( esk15_3(X27,X28,X35) = X35
| ~ in(X35,esk14_2(X27,X28))
| in(esk12_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( ordinal(esk16_3(X27,X28,X35))
| ~ in(X35,esk14_2(X27,X28))
| in(esk12_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( X35 = esk16_3(X27,X28,X35)
| ~ in(X35,esk14_2(X27,X28))
| in(esk12_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( in(esk16_3(X27,X28,X35),X27)
| ~ in(X35,esk14_2(X27,X28))
| in(esk12_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( ~ in(X39,succ(X28))
| X39 != X38
| ~ ordinal(X40)
| X38 != X40
| ~ in(X40,X27)
| in(X38,esk14_2(X27,X28))
| in(esk12_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( in(esk15_3(X27,X28,X35),succ(X28))
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( esk15_3(X27,X28,X35) = X35
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( ordinal(esk16_3(X27,X28,X35))
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( X35 = esk16_3(X27,X28,X35)
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( in(esk16_3(X27,X28,X35),X27)
| ~ in(X35,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( ~ in(X39,succ(X28))
| X39 != X38
| ~ ordinal(X40)
| X38 != X40
| ~ in(X40,X27)
| in(X38,esk14_2(X27,X28))
| esk9_2(X27,X28) = esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( in(esk15_3(X27,X28,X35),succ(X28))
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk13_2(X27,X28))
| ~ ordinal(X28) )
& ( esk15_3(X27,X28,X35) = X35
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk13_2(X27,X28))
| ~ ordinal(X28) )
& ( ordinal(esk16_3(X27,X28,X35))
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk13_2(X27,X28))
| ~ ordinal(X28) )
& ( X35 = esk16_3(X27,X28,X35)
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk13_2(X27,X28))
| ~ ordinal(X28) )
& ( in(esk16_3(X27,X28,X35),X27)
| ~ in(X35,esk14_2(X27,X28))
| ordinal(esk13_2(X27,X28))
| ~ ordinal(X28) )
& ( ~ in(X39,succ(X28))
| X39 != X38
| ~ ordinal(X40)
| X38 != X40
| ~ in(X40,X27)
| in(X38,esk14_2(X27,X28))
| ordinal(esk13_2(X27,X28))
| ~ ordinal(X28) )
& ( in(esk15_3(X27,X28,X35),succ(X28))
| ~ in(X35,esk14_2(X27,X28))
| esk11_2(X27,X28) = esk13_2(X27,X28)
| ~ ordinal(X28) )
& ( esk15_3(X27,X28,X35) = X35
| ~ in(X35,esk14_2(X27,X28))
| esk11_2(X27,X28) = esk13_2(X27,X28)
| ~ ordinal(X28) )
& ( ordinal(esk16_3(X27,X28,X35))
| ~ in(X35,esk14_2(X27,X28))
| esk11_2(X27,X28) = esk13_2(X27,X28)
| ~ ordinal(X28) )
& ( X35 = esk16_3(X27,X28,X35)
| ~ in(X35,esk14_2(X27,X28))
| esk11_2(X27,X28) = esk13_2(X27,X28)
| ~ ordinal(X28) )
& ( in(esk16_3(X27,X28,X35),X27)
| ~ in(X35,esk14_2(X27,X28))
| esk11_2(X27,X28) = esk13_2(X27,X28)
| ~ ordinal(X28) )
& ( ~ in(X39,succ(X28))
| X39 != X38
| ~ ordinal(X40)
| X38 != X40
| ~ in(X40,X27)
| in(X38,esk14_2(X27,X28))
| esk11_2(X27,X28) = esk13_2(X27,X28)
| ~ ordinal(X28) )
& ( in(esk15_3(X27,X28,X35),succ(X28))
| ~ in(X35,esk14_2(X27,X28))
| in(esk13_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( esk15_3(X27,X28,X35) = X35
| ~ in(X35,esk14_2(X27,X28))
| in(esk13_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( ordinal(esk16_3(X27,X28,X35))
| ~ in(X35,esk14_2(X27,X28))
| in(esk13_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( X35 = esk16_3(X27,X28,X35)
| ~ in(X35,esk14_2(X27,X28))
| in(esk13_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( in(esk16_3(X27,X28,X35),X27)
| ~ in(X35,esk14_2(X27,X28))
| in(esk13_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( ~ in(X39,succ(X28))
| X39 != X38
| ~ ordinal(X40)
| X38 != X40
| ~ in(X40,X27)
| in(X38,esk14_2(X27,X28))
| in(esk13_2(X27,X28),X27)
| ~ ordinal(X28) )
& ( in(esk15_3(X27,X28,X35),succ(X28))
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) != esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( esk15_3(X27,X28,X35) = X35
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) != esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( ordinal(esk16_3(X27,X28,X35))
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) != esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( X35 = esk16_3(X27,X28,X35)
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) != esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( in(esk16_3(X27,X28,X35),X27)
| ~ in(X35,esk14_2(X27,X28))
| esk10_2(X27,X28) != esk11_2(X27,X28)
| ~ ordinal(X28) )
& ( ~ in(X39,succ(X28))
| X39 != X38
| ~ ordinal(X40)
| X38 != X40
| ~ in(X40,X27)
| in(X38,esk14_2(X27,X28))
| esk10_2(X27,X28) != esk11_2(X27,X28)
| ~ ordinal(X28) ) ),
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__e8_6__wellord2__1])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X11,X13] :
( ordinal(esk2_0)
& ( ~ in(esk3_1(X11),X11)
| ~ in(esk3_1(X11),succ(esk2_0))
| ~ ordinal(X13)
| esk3_1(X11) != X13
| ~ in(X13,esk1_0) )
& ( in(esk3_1(X11),succ(esk2_0))
| in(esk3_1(X11),X11) )
& ( ordinal(esk4_1(X11))
| in(esk3_1(X11),X11) )
& ( esk3_1(X11) = esk4_1(X11)
| in(esk3_1(X11),X11) )
& ( in(esk4_1(X11),esk1_0)
| in(esk3_1(X11),X11) ) ),
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_2])])])])]) ).
cnf(c_0_5,plain,
( in(X3,esk14_2(X5,X2))
| esk9_2(X5,X2) = esk10_2(X5,X2)
| ~ in(X1,succ(X2))
| X1 != X3
| ~ ordinal(X4)
| X3 != X4
| ~ in(X4,X5)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ordinal(esk4_1(X1))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( esk3_1(X1) = esk4_1(X1)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ in(X3,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])]) ).
cnf(c_0_9,negated_conjecture,
( in(esk3_1(X1),succ(esk2_0))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
ordinal(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( in(esk3_1(X1),X1)
| ordinal(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( in(esk4_1(X1),esk1_0)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( esk9_2(X1,esk2_0) = esk10_2(X1,esk2_0)
| in(esk3_1(X2),esk14_2(X1,esk2_0))
| in(esk3_1(X2),X2)
| ~ in(esk3_1(X2),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( in(esk3_1(X1),esk1_0)
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( in(esk15_3(X1,X2,X3),succ(X2))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_19,plain,
( ordinal(esk16_3(X1,X2,X3))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,plain,
( X1 = esk16_3(X2,X3,X1)
| esk9_2(X2,X3) = esk10_2(X2,X3)
| ~ in(X1,esk14_2(X2,X3))
| ~ ordinal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,plain,
( in(esk16_3(X1,X2,X3),X1)
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),succ(esk2_0))
| ~ ordinal(X2)
| esk3_1(X1) != X2
| ~ in(X2,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),succ(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_10])]) ).
cnf(c_0_24,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_17]),c_0_10])]) ).
cnf(c_0_25,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ordinal(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_10])]) ).
cnf(c_0_26,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_10])]) ).
cnf(c_0_27,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_10])]) ).
cnf(c_0_28,plain,
( in(X3,esk14_2(X5,X2))
| ~ in(X1,succ(X2))
| X1 != X3
| ~ ordinal(X4)
| X3 != X4
| ~ in(X4,X5)
| esk10_2(X5,X2) != esk11_2(X5,X2)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,plain,
( in(X3,esk14_2(X5,X2))
| esk9_2(X5,X2) = esk11_2(X5,X2)
| ~ in(X1,succ(X2))
| X1 != X3
| ~ ordinal(X4)
| X3 != X4
| ~ in(X4,X5)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_30,negated_conjecture,
( ~ in(esk3_1(X1),succ(esk2_0))
| ~ in(esk3_1(X1),esk1_0)
| ~ in(esk3_1(X1),X1)
| ~ ordinal(esk3_1(X1)) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),succ(esk2_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ordinal(esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_34,plain,
( in(X1,esk14_2(X2,X3))
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ in(X1,succ(X3))
| ~ in(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])]) ).
cnf(c_0_35,plain,
( in(esk15_3(X1,X2,X3),succ(X2))
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_36,plain,
( esk15_3(X1,X2,X3) = X3
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,plain,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ in(X3,succ(X2))
| ~ in(X3,X1)
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])]) ).
cnf(c_0_38,negated_conjecture,
esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_17]) ).
cnf(c_0_39,negated_conjecture,
( in(esk3_1(X1),esk14_2(X2,esk2_0))
| in(esk3_1(X1),X1)
| esk11_2(X2,esk2_0) != esk10_2(X2,esk2_0)
| ~ in(esk3_1(X1),X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_40,plain,
( in(X1,succ(X2))
| esk11_2(X3,X2) != esk10_2(X3,X2)
| ~ in(X1,esk14_2(X3,X2))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(X1,esk14_2(esk1_0,esk2_0))
| ~ in(X1,succ(esk2_0))
| ~ in(X1,esk1_0)
| ~ ordinal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_10])]) ).
cnf(c_0_42,negated_conjecture,
( in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_14]) ).
cnf(c_0_43,negated_conjecture,
( in(esk3_1(esk14_2(X1,X2)),succ(esk2_0))
| in(esk3_1(esk14_2(X1,X2)),succ(X2))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_9]) ).
cnf(c_0_44,negated_conjecture,
( in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_9]),c_0_11]),c_0_14]),c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( in(esk3_1(esk14_2(X1,esk2_0)),succ(esk2_0))
| esk11_2(X1,esk2_0) != esk10_2(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_43]),c_0_10])]) ).
cnf(c_0_46,plain,
( X1 = esk16_3(X2,X3,X1)
| ~ in(X1,esk14_2(X2,X3))
| esk10_2(X2,X3) != esk11_2(X2,X3)
| ~ ordinal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_47,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( esk11_2(X1,esk2_0) != esk10_2(X1,esk2_0)
| ~ in(esk3_1(esk14_2(X1,esk2_0)),esk14_2(X1,esk2_0))
| ~ in(esk3_1(esk14_2(X1,esk2_0)),esk1_0)
| ~ ordinal(esk3_1(esk14_2(X1,esk2_0))) ),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
cnf(c_0_49,plain,
( ordinal(esk16_3(X1,X2,X3))
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_50,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_10])]) ).
cnf(c_0_51,negated_conjecture,
( esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0)
| ~ ordinal(esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_48,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( ordinal(esk3_1(esk14_2(esk1_0,esk2_0)))
| esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_47]),c_0_10])]) ).
cnf(c_0_53,plain,
( in(esk16_3(X1,X2,X3),X1)
| ~ in(X3,esk14_2(X1,X2))
| esk10_2(X1,X2) != esk11_2(X1,X2)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_54,negated_conjecture,
( esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
( ordinal(esk16_3(X1,X2,X3))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_56,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_57,negated_conjecture,
esk11_2(esk1_0,esk2_0) != esk10_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_50]),c_0_47]),c_0_10])]),c_0_54]) ).
cnf(c_0_58,plain,
( in(esk16_3(X1,X2,X3),X1)
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_59,plain,
( X1 = esk16_3(X2,X3,X1)
| esk9_2(X2,X3) = esk11_2(X2,X3)
| ~ in(X1,esk14_2(X2,X3))
| ~ ordinal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_60,negated_conjecture,
( esk11_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ordinal(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_47]),c_0_38]),c_0_10])]) ).
cnf(c_0_61,plain,
( in(esk15_3(X1,X2,X3),succ(X2))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| ~ in(X3,esk14_2(X1,X2))
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_62,negated_conjecture,
esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_47]),c_0_38]),c_0_10])]),c_0_57]) ).
cnf(c_0_63,negated_conjecture,
in(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,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_58,c_0_47]),c_0_38]),c_0_10])]),c_0_57]) ).
cnf(c_0_64,negated_conjecture,
esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_47]),c_0_38]),c_0_10])]),c_0_57]) ).
cnf(c_0_65,negated_conjecture,
ordinal(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0)))),
inference(sr,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_66,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),succ(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_38]),c_0_47]),c_0_10])]),c_0_57]) ).
cnf(c_0_67,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0),
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
ordinal(esk3_1(esk14_2(esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_65,c_0_64]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_66]),c_0_67]),c_0_47]),c_0_68])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU272+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 21:47:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.56 start to proof: theBenchmark
% 0.99/1.06 % Version : CSE_E---1.5
% 0.99/1.06 % Problem : theBenchmark.p
% 0.99/1.06 % Proof found
% 0.99/1.06 % SZS status Theorem for theBenchmark.p
% 0.99/1.06 % SZS output start Proof
% See solution above
% 0.99/1.07 % Total time : 0.492000 s
% 0.99/1.07 % SZS output end Proof
% 0.99/1.07 % Total time : 0.495000 s
%------------------------------------------------------------------------------