%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU277+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:24:32 PM UTC 2026
% Result : Theorem 0.22s 0.62s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 67 ( 12 unt; 0 def)
% Number of atoms : 502 ( 134 equ)
% Maximal formula atoms : 231 ( 7 avg)
% Number of connectives : 743 ( 308 ~; 369 |; 58 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-4 aty)
% Number of variables : 164 ( 0 sgn 26 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e6_21__wellord2__1,axiom,
! [X1,X2,X3] :
( ( function(X3)
& relation(X3)
& relation(X2) )
=> ( ! [X4,X5,X6] :
( ( ? [X9,X10] :
( in(ordered_pair(apply(X3,X9),apply(X3,X10)),X2)
& X6 = ordered_pair(X9,X10) )
& X4 = X6
& ? [X7,X8] :
( in(ordered_pair(apply(X3,X7),apply(X3,X8)),X2)
& X5 = ordered_pair(X7,X8) )
& X4 = X5 )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( ? [X11,X12] :
( in(ordered_pair(apply(X3,X11),apply(X3,X12)),X2)
& X5 = ordered_pair(X11,X12) )
& X6 = X5
& in(X6,cartesian_product2(X1,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_21__wellord2__1) ).
fof(s1_xboole_0__e6_21__wellord2__1,conjecture,
! [X1,X2,X3] :
( ( function(X3)
& relation(X3)
& relation(X2) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( ? [X6,X7] :
( in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2)
& X5 = ordered_pair(X6,X7) )
& in(X5,cartesian_product2(X1,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_21__wellord2__1) ).
fof(c_0_2,plain,
! [X39,X40,X41,X50,X54,X55,X56,X57] :
( ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| in(X54,esk22_3(X39,X40,X41))
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| X54 != ordered_pair(X56,X57)
| X55 != X54
| ~ in(X55,cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk23_4(X39,X40,X41,X50) = X50 )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) != esk17_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| in(X54,esk22_3(X39,X40,X41))
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| X54 != ordered_pair(X56,X57)
| X55 != X54
| ~ in(X55,cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk23_4(X39,X40,X41,X50) = X50 )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk20_3(X39,X40,X41)),apply(X41,esk21_3(X39,X40,X41))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| in(X54,esk22_3(X39,X40,X41))
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| X54 != ordered_pair(X56,X57)
| X55 != X54
| ~ in(X55,cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| ~ in(X50,esk22_3(X39,X40,X41))
| X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk23_4(X39,X40,X41,X50) = X50 )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk17_3(X39,X40,X41) = ordered_pair(esk20_3(X39,X40,X41),esk21_3(X39,X40,X41))
| ~ in(X50,esk22_3(X39,X40,X41))
| in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| in(X54,esk22_3(X39,X40,X41))
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| X54 != ordered_pair(X56,X57)
| X55 != X54
| ~ in(X55,cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk23_4(X39,X40,X41,X50) = X50 )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk17_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| in(X54,esk22_3(X39,X40,X41))
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| X54 != ordered_pair(X56,X57)
| X55 != X54
| ~ in(X55,cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk23_4(X39,X40,X41,X50) = X50 )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| in(ordered_pair(apply(X41,esk18_3(X39,X40,X41)),apply(X41,esk19_3(X39,X40,X41))),X40)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| in(X54,esk22_3(X39,X40,X41))
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| X54 != ordered_pair(X56,X57)
| X55 != X54
| ~ in(X55,cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| ~ in(X50,esk22_3(X39,X40,X41))
| X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| ~ in(X50,esk22_3(X39,X40,X41))
| esk23_4(X39,X40,X41,X50) = X50 )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk16_3(X39,X40,X41) = ordered_pair(esk18_3(X39,X40,X41),esk19_3(X39,X40,X41))
| ~ in(X50,esk22_3(X39,X40,X41))
| in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| in(X54,esk22_3(X39,X40,X41))
| ~ in(ordered_pair(apply(X41,X56),apply(X41,X57)),X40)
| X54 != ordered_pair(X56,X57)
| X55 != X54
| ~ in(X55,cartesian_product2(X39,X39)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(ordered_pair(apply(X41,esk24_4(X39,X40,X41,X50)),apply(X41,esk25_4(X39,X40,X41,X50))),X40) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| X50 = ordered_pair(esk24_4(X39,X40,X41,X50),esk25_4(X39,X40,X41,X50)) )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| esk23_4(X39,X40,X41,X50) = X50 )
& ( ~ function(X41)
| ~ relation(X41)
| ~ relation(X40)
| esk15_3(X39,X40,X41) = esk16_3(X39,X40,X41)
| ~ in(X50,esk22_3(X39,X40,X41))
| in(esk23_4(X39,X40,X41,X50),cartesian_product2(X39,X39)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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] :
( ( function(X3)
& relation(X3)
& relation(X2) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( ? [X6,X7] :
( in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2)
& X5 = ordered_pair(X6,X7) )
& in(X5,cartesian_product2(X1,X1)) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e6_21__wellord2__1]) ).
cnf(c_0_4,plain,
( ~ function(X6)
| ~ relation(X6)
| ~ relation(X7)
| ~ in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)
| X3 != ordered_pair(X4,X5)
| X1 != X3
| ~ in(X1,cartesian_product2(X2,X2))
| esk15_3(X2,X7,X6) = esk16_3(X2,X7,X6)
| in(X3,esk22_3(X2,X7,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X16,X18,X19] :
( ( 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)
| esk4_1(X16) = ordered_pair(esk5_1(X16),esk6_1(X16)) )
& ( in(esk4_1(X16),X16)
| in(esk4_1(X16),cartesian_product2(esk1_0,esk1_0)) )
& ( ~ in(ordered_pair(apply(esk3_0,X18),apply(esk3_0,X19)),esk2_0)
| esk4_1(X16) != ordered_pair(X18,X19)
| ~ in(esk4_1(X16),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X16),X16) )
& function(esk3_0)
& relation(esk3_0)
& relation(esk2_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
( ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X1))
| ~ in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)
| in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))
| esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4])]) ).
cnf(c_0_7,negated_conjecture,
( in(esk4_1(X1),X1)
| in(ordered_pair(apply(esk3_0,esk5_1(X1)),apply(esk3_0,esk6_1(X1))),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( ~ in(ordered_pair(esk5_1(X2),esk6_1(X2)),cartesian_product2(X1,X1))
| in(esk4_1(X2),X2)
| in(ordered_pair(esk5_1(X2),esk6_1(X2)),esk22_3(X1,esk2_0,esk3_0))
| esk15_3(X1,esk2_0,esk3_0) = esk16_3(X1,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_6,c_0_7]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_12,negated_conjecture,
( in(esk4_1(X1),X1)
| esk4_1(X1) = ordered_pair(esk5_1(X1),esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( ~ in(esk4_1(X2),cartesian_product2(X1,X1))
| in(esk4_1(X2),X2)
| in(esk4_1(X2),esk22_3(X1,esk2_0,esk3_0))
| esk15_3(X1,esk2_0,esk3_0) = esk16_3(X1,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),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(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X4,esk22_3(X1,X2,X3))
| esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),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(ef,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X4,esk22_3(X1,X2,X3))
| esk15_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| esk23_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( ~ in(ordered_pair(apply(esk3_0,X2),apply(esk3_0,X3)),esk2_0)
| esk4_1(X1) != ordered_pair(X2,X3)
| ~ 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_20,negated_conjecture,
( 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))
| 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_16,c_0_17]),c_0_8]),c_0_10]),c_0_9])]) ).
cnf(c_0_21,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_17]),c_0_8]),c_0_10]),c_0_9])]) ).
cnf(c_0_22,plain,
( ~ function(X1)
| ~ relation(X1)
| ~ relation(X3)
| ~ in(X4,esk22_3(X2,X3,X1))
| esk15_3(X2,X3,X1) = esk16_3(X2,X3,X1)
| in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,negated_conjecture,
( ~ in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk1_0,esk1_0))
| esk4_1(X2) != ordered_pair(esk5_1(X1),esk6_1(X1))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0))
| esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( ~ function(X6)
| ~ relation(X6)
| ~ relation(X7)
| esk16_3(X2,X7,X6) != esk17_3(X2,X7,X6)
| ~ in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)
| X3 != ordered_pair(X4,X5)
| X1 != X3
| ~ in(X1,cartesian_product2(X2,X2))
| in(X3,esk22_3(X2,X7,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,plain,
( ~ function(X6)
| ~ relation(X6)
| ~ relation(X7)
| ~ in(ordered_pair(apply(X6,X4),apply(X6,X5)),X7)
| X3 != ordered_pair(X4,X5)
| X1 != X3
| ~ in(X1,cartesian_product2(X2,X2))
| esk15_3(X2,X7,X6) = esk17_3(X2,X7,X6)
| in(X3,esk22_3(X2,X7,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,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)
| 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_22,c_0_17]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_28,plain,
( ~ function(X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(X1,esk22_3(X2,X3,X4))
| esk15_3(X2,X3,X4) = esk16_3(X2,X3,X4)
| X1 = ordered_pair(esk24_4(X2,X3,X4,X1),esk25_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( ordered_pair(esk5_1(X1),esk6_1(X1)) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_17]) ).
cnf(c_0_30,plain,
( ~ relation(X5)
| ~ relation(X4)
| ~ function(X5)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X3))
| ~ in(ordered_pair(apply(X5,X1),apply(X5,X2)),X4)
| esk17_3(X3,X4,X5) != esk16_3(X3,X4,X5)
| in(ordered_pair(X1,X2),esk22_3(X3,X4,X5)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])]) ).
cnf(c_0_31,plain,
( ~ relation(X3)
| ~ relation(X2)
| ~ function(X3)
| ~ in(ordered_pair(X4,X5),cartesian_product2(X1,X1))
| ~ in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)
| in(ordered_pair(X4,X5),esk22_3(X1,X2,X3))
| esk15_3(X1,X2,X3) = esk17_3(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])]) ).
cnf(c_0_32,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| esk4_1(X1) != 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))))
| esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0)
| 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_17]),c_0_8]),c_0_10]),c_0_9])]) ).
cnf(c_0_34,negated_conjecture,
( esk4_1(X1) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_12]) ).
cnf(c_0_35,negated_conjecture,
( ~ in(ordered_pair(esk5_1(X1),esk6_1(X1)),cartesian_product2(X2,X2))
| esk17_3(X2,esk2_0,esk3_0) != esk16_3(X2,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| in(ordered_pair(esk5_1(X1),esk6_1(X1)),esk22_3(X2,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_30,c_0_7]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_36,negated_conjecture,
( ~ in(ordered_pair(esk5_1(X2),esk6_1(X2)),cartesian_product2(X1,X1))
| in(esk4_1(X2),X2)
| in(ordered_pair(esk5_1(X2),esk6_1(X2)),esk22_3(X1,esk2_0,esk3_0))
| esk15_3(X1,esk2_0,esk3_0) = esk17_3(X1,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_31,c_0_7]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_37,negated_conjecture,
( ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| esk4_1(X1) != 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( ~ in(esk4_1(X1),cartesian_product2(X2,X2))
| esk17_3(X2,esk2_0,esk3_0) != esk16_3(X2,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| in(esk4_1(X1),esk22_3(X2,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_12]) ).
cnf(c_0_39,plain,
( ~ function(X1)
| ~ relation(X1)
| ~ relation(X3)
| esk16_3(X2,X3,X1) != esk17_3(X2,X3,X1)
| ~ in(X4,esk22_3(X2,X3,X1))
| in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( ~ in(esk4_1(X2),cartesian_product2(X1,X1))
| in(esk4_1(X2),X2)
| in(esk4_1(X2),esk22_3(X1,esk2_0,esk3_0))
| esk15_3(X1,esk2_0,esk3_0) = esk17_3(X1,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_12]) ).
cnf(c_0_41,negated_conjecture,
esk15_3(esk1_0,esk2_0,esk3_0) = esk16_3(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_37,c_0_24]) ).
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(X1),X1)
| in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_14]) ).
cnf(c_0_43,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(X3,esk22_3(X2,esk2_0,esk3_0))
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| esk17_3(X2,esk2_0,esk3_0) != esk16_3(X2,esk2_0,esk3_0)
| esk4_1(X1) != ordered_pair(esk24_4(X2,esk2_0,esk3_0,X3),esk25_4(X2,esk2_0,esk3_0,X3)) ),
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_39]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_44,plain,
( ~ function(X4)
| ~ relation(X4)
| ~ relation(X3)
| esk16_3(X2,X3,X4) != esk17_3(X2,X3,X4)
| ~ in(X1,esk22_3(X2,X3,X4))
| X1 = ordered_pair(esk24_4(X2,X3,X4,X1),esk25_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_14]),c_0_41]),c_0_42]) ).
cnf(c_0_46,plain,
( ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| esk16_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ in(X4,esk22_3(X1,X2,X3))
| in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_47,plain,
( ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| esk16_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ in(X4,esk22_3(X1,X2,X3))
| esk23_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_48,negated_conjecture,
( ~ in(esk4_1(X2),X2)
| ~ in(esk4_1(X2),cartesian_product2(esk1_0,esk1_0))
| ~ in(esk4_1(X2),esk22_3(X1,esk2_0,esk3_0))
| esk17_3(X1,esk2_0,esk3_0) != esk16_3(X1,esk2_0,esk3_0) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_8]),c_0_10]),c_0_9])])]) ).
cnf(c_0_49,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_45]) ).
cnf(c_0_50,plain,
( ~ relation(X3)
| ~ relation(X4)
| ~ function(X4)
| ~ in(X1,esk22_3(X2,X3,X4))
| esk17_3(X2,X3,X4) != esk16_3(X2,X3,X4)
| in(X1,cartesian_product2(X2,X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( ~ in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_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(spm,[status(thm)],[c_0_48,c_0_49]),c_0_49])]) ).
cnf(c_0_52,plain,
( ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X4,esk22_3(X1,X2,X3))
| esk15_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| in(esk23_4(X1,X2,X3,X4),cartesian_product2(X1,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,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(spm,[status(thm)],[c_0_50,c_0_49]),c_0_8]),c_0_10]),c_0_9])]),c_0_51]) ).
cnf(c_0_54,plain,
( ~ function(X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X4,esk22_3(X1,X2,X3))
| esk15_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| esk23_4(X1,X2,X3,X4) = X4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_55,negated_conjecture,
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(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_52,c_0_49]),c_0_41]),c_0_8]),c_0_10]),c_0_9])]),c_0_53]) ).
cnf(c_0_56,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(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_54,c_0_49]),c_0_41]),c_0_8]),c_0_10]),c_0_9])]),c_0_53]) ).
cnf(c_0_57,plain,
( ~ function(X1)
| ~ relation(X1)
| ~ relation(X3)
| ~ in(X4,esk22_3(X2,X3,X1))
| esk15_3(X2,X3,X1) = esk17_3(X2,X3,X1)
| in(ordered_pair(apply(X1,esk24_4(X2,X3,X1,X4)),apply(X1,esk25_4(X2,X3,X1,X4))),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_58,negated_conjecture,
in(esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)),cartesian_product2(esk1_0,esk1_0)),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,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(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_57,c_0_49]),c_0_41]),c_0_8]),c_0_9]),c_0_10])]),c_0_53]) ).
cnf(c_0_60,plain,
( ~ function(X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(X1,esk22_3(X2,X3,X4))
| esk15_3(X2,X3,X4) = esk17_3(X2,X3,X4)
| X1 = ordered_pair(esk24_4(X2,X3,X4,X1),esk25_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_61,negated_conjecture,
( ordered_pair(esk5_1(X1),esk6_1(X1)) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_58]),c_0_49])]) ).
cnf(c_0_62,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| esk4_1(X1) != 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)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_59]) ).
cnf(c_0_63,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(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_60,c_0_49]),c_0_41]),c_0_8]),c_0_10]),c_0_9])]),c_0_53]) ).
cnf(c_0_64,negated_conjecture,
( esk4_1(X1) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_12]) ).
cnf(c_0_65,negated_conjecture,
( ~ in(esk4_1(X1),cartesian_product2(esk1_0,esk1_0))
| esk4_1(X1) != esk4_1(esk22_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_65,c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU277+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n026.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 06:09:06 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.62 % Version: 3.5.1
% 0.22/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.62 % Starting sh5l with 300s (1) cores
% 0.22/0.62 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1531407 completed with status 0
% 0.22/0.62 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.62 % No SInE strategy applied
% 0.22/0.62 % Search class: FGHSF-FFMM32-MFFFFFNN
% 0.22/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.62 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S2q with 136s (1) cores
% 0.22/0.62 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.62 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.62 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1531414 completed with status 0
% 0.22/0.62 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.62 % No SInE strategy applied
% 0.22/0.62 % Search class: FGHSF-FFMM32-MFFFFFNN
% 0.22/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.62 % Preprocessing time : 0.003 s
% 0.22/0.62 % Presaturation interreduction done
% 0.22/0.62
% 0.22/0.62 % Proof found!
% 0.22/0.62 % SZS status Theorem
% 0.22/0.62 % SZS output start CNFRefutation
% See solution above
% 0.22/0.62 % Parsed axioms : 20
% 0.22/0.62 % Removed by relevancy pruning/SinE : 0
% 0.22/0.62 % Initial clauses : 81
% 0.22/0.62 % Removed in clause preprocessing : 5
% 0.22/0.62 % Initial clauses in saturation : 76
% 0.22/0.62 % Processed clauses : 378
% 0.22/0.62 % ...of these trivial : 11
% 0.22/0.62 % ...subsumed : 58
% 0.22/0.62 % ...remaining for further processing : 309
% 0.22/0.62 % Other redundant clauses eliminated : 15
% 0.22/0.62 % Clauses deleted for lack of memory : 0
% 0.22/0.62 % Backward-subsumed : 8
% 0.22/0.62 % Backward-rewritten : 27
% 0.22/0.62 % Generated clauses : 671
% 0.22/0.62 % ...of the previous two non-redundant : 640
% 0.22/0.62 % ...aggressively subsumed : 0
% 0.22/0.62 % Contextual simplify-reflections : 8
% 0.22/0.62 % Paramodulations : 654
% 0.22/0.62 % Factorizations : 6
% 0.22/0.62 % NegExts : 0
% 0.22/0.62 % Equation resolutions : 18
% 0.22/0.62 % Disequality decompositions : 0
% 0.22/0.62 % Total rewrite steps : 596
% 0.22/0.62 % ...of those cached : 575
% 0.22/0.62 % Propositional unsat checks : 0
% 0.22/0.62 % Propositional check models : 0
% 0.22/0.62 % Propositional check unsatisfiable : 0
% 0.22/0.62 % Propositional clauses : 0
% 0.22/0.62 % Propositional clauses after purity: 0
% 0.22/0.62 % Propositional unsat core size : 0
% 0.22/0.62 % Propositional preprocessing time : 0.000
% 0.22/0.62 % Propositional encoding time : 0.000
% 0.22/0.62 % Propositional solver time : 0.000
% 0.22/0.62 % Success case prop preproc time : 0.000
% 0.22/0.62 % Success case prop encoding time : 0.000
% 0.22/0.62 % Success case prop solver time : 0.000
% 0.22/0.62 % Current number of processed clauses : 191
% 0.22/0.62 % Positive orientable unit clauses : 33
% 0.22/0.62 % Positive unorientable unit clauses: 0
% 0.22/0.62 % Negative unit clauses : 9
% 0.22/0.62 % Non-unit-clauses : 149
% 0.22/0.62 % Current number of unprocessed clauses: 408
% 0.22/0.62 % ...number of literals in the above : 2400
% 0.22/0.62 % Current number of archived formulas : 0
% 0.22/0.62 % Current number of archived clauses : 111
% 0.22/0.62 % Clause-clause subsumption calls (NU) : 11022
% 0.22/0.62 % Rec. Clause-clause subsumption calls : 2675
% 0.22/0.62 % Non-unit clause-clause subsumptions : 58
% 0.22/0.62 % Unit Clause-clause subsumption calls : 49
% 0.22/0.62 % Rewrite failures with RHS unbound : 0
% 0.22/0.62 % BW rewrite match attempts : 42
% 0.22/0.62 % BW rewrite match successes : 3
% 0.22/0.62 % Condensation attempts : 0
% 0.22/0.62 % Condensation successes : 0
% 0.22/0.62 % Termbank termtop insertions : 29576
% 0.22/0.62 % Search garbage collected termcells : 771
% 0.22/0.62
% 0.22/0.62 % -------------------------------------------------
% 0.22/0.62 % User time : 0.078 s
% 0.22/0.62 % System time : 0.005 s
% 0.22/0.62 % Total time : 0.083 s
% 0.22/0.62 % Maximum resident set size: 3652 pages
% 0.22/0.62
% 0.22/0.62 % -------------------------------------------------
% 0.22/0.62 % User time : 0.361 s
% 0.22/0.62 % System time : 0.028 s
% 0.22/0.62 % Total time : 0.389 s
% 0.22/0.62 % Maximum resident set size: 4608 pages
% 0.22/0.62 % E exiting
%------------------------------------------------------------------------------