TSTP Solution File: SYN067+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:28:58 EDT 2023
% Result : Theorem 2.09s 0.77s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 18
% Syntax : Number of formulae : 371 ( 19 unt; 0 def)
% Number of atoms : 2394 ( 0 equ)
% Maximal formula atoms : 500 ( 6 avg)
% Number of connectives : 3158 (1135 ~;1897 |; 103 &)
% ( 19 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 103 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 373 ( 0 sgn; 43 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel38,conjecture,
( ! [X1] :
( ( big_p(a)
& ( big_p(X1)
=> ? [X2] :
( big_p(X2)
& big_r(X1,X2) ) ) )
=> ? [X3,X4] :
( big_p(X3)
& big_r(X1,X4)
& big_r(X4,X3) ) )
<=> ! [X5] :
( ( ~ big_p(a)
| big_p(X5)
| ? [X6,X7] :
( big_p(X6)
& big_r(X5,X7)
& big_r(X7,X6) ) )
& ( ~ big_p(a)
| ~ ? [X8] :
( big_p(X8)
& big_r(X5,X8) )
| ? [X9,X10] :
( big_p(X9)
& big_r(X5,X10)
& big_r(X10,X9) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ByuxYtqrXM/E---3.1_22907.p',pel38) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1] :
( ( big_p(a)
& ( big_p(X1)
=> ? [X2] :
( big_p(X2)
& big_r(X1,X2) ) ) )
=> ? [X3,X4] :
( big_p(X3)
& big_r(X1,X4)
& big_r(X4,X3) ) )
<=> ! [X5] :
( ( ~ big_p(a)
| big_p(X5)
| ? [X6,X7] :
( big_p(X6)
& big_r(X5,X7)
& big_r(X7,X6) ) )
& ( ~ big_p(a)
| ~ ? [X8] :
( big_p(X8)
& big_r(X5,X8) )
| ? [X9,X10] :
( big_p(X9)
& big_r(X5,X10)
& big_r(X10,X9) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel38])]) ).
fof(c_0_2,plain,
( ~ epred9_0
<=> ! [X1,X2] :
( big_r(X1,esk10_1(X1))
| ~ big_p(X2)
| ~ big_r(X1,X2) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
! [X13,X14,X16,X17,X19,X20,X21,X22,X25,X28,X29] :
( ( big_p(a)
| big_p(a)
| big_p(a) )
& ( big_p(esk4_0)
| big_p(a)
| big_p(a) )
& ( big_r(esk3_0,esk4_0)
| big_p(a)
| big_p(a) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| big_p(a)
| big_p(a) )
& ( big_p(a)
| ~ big_p(esk3_0)
| big_p(a) )
& ( big_p(esk4_0)
| ~ big_p(esk3_0)
| big_p(a) )
& ( big_r(esk3_0,esk4_0)
| ~ big_p(esk3_0)
| big_p(a) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| ~ big_p(esk3_0)
| big_p(a) )
& ( big_p(a)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_p(a) )
& ( big_p(esk4_0)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_p(a) )
& ( big_r(esk3_0,esk4_0)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_p(a) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_p(a) )
& ( big_p(a)
| big_p(a)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(esk4_0)
| big_p(a)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( big_r(esk3_0,esk4_0)
| big_p(a)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| big_p(a)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(a)
| ~ big_p(esk3_0)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(esk4_0)
| ~ big_p(esk3_0)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( big_r(esk3_0,esk4_0)
| ~ big_p(esk3_0)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| ~ big_p(esk3_0)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(a)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(esk4_0)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( big_r(esk3_0,esk4_0)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_p(esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(a)
| big_p(a)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(esk4_0)
| big_p(a)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( big_r(esk3_0,esk4_0)
| big_p(a)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| big_p(a)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(a)
| ~ big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(esk4_0)
| ~ big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( big_r(esk3_0,esk4_0)
| ~ big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| ~ big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(a)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(esk4_0)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( big_r(esk3_0,esk4_0)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0) )
& ( big_p(a)
| big_p(a)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( big_p(esk4_0)
| big_p(a)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( big_r(esk3_0,esk4_0)
| big_p(a)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| big_p(a)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( big_p(a)
| ~ big_p(esk3_0)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( big_p(esk4_0)
| ~ big_p(esk3_0)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( big_r(esk3_0,esk4_0)
| ~ big_p(esk3_0)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| ~ big_p(esk3_0)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( big_p(a)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( big_p(esk4_0)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( big_r(esk3_0,esk4_0)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( ~ big_p(X19)
| ~ big_r(esk3_0,X20)
| ~ big_r(X20,X19)
| ~ big_p(X16)
| ~ big_r(esk3_0,X17)
| ~ big_r(X17,X16)
| ~ big_p(X13)
| ~ big_r(esk1_0,X14)
| ~ big_r(X14,X13) )
& ( big_p(esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_p(esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(X25,esk8_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_p(esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(esk8_1(X25),esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_p(esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_p(esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_p(esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(X28,esk10_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_p(esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(esk10_1(X28),esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_p(esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_p(esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(X21,esk6_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(X25,esk8_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(X21,esk6_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(esk8_1(X25),esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(X21,esk6_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_p(esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(X21,esk6_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(X28,esk10_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(X21,esk6_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(esk10_1(X28),esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(X21,esk6_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_p(esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(X25,esk8_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(esk8_1(X25),esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_p(esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(X28,esk10_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_r(esk10_1(X28),esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X21)
| ~ big_p(a) )
& ( big_p(esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_p(esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(X25,esk8_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_p(esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(esk8_1(X25),esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_p(esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_p(esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_p(esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(X28,esk10_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_p(esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(esk10_1(X28),esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_p(esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_p(esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(X21,esk6_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(X25,esk8_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(X21,esk6_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(esk8_1(X25),esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(X21,esk6_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_p(esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(X21,esk6_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(X28,esk10_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(X21,esk6_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(esk10_1(X28),esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(X21,esk6_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_p(esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(X25,esk8_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(esk8_1(X25),esk7_1(X25))
| ~ big_p(a)
| big_p(X25)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_p(esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(X28,esk10_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) )
& ( big_r(esk10_1(X28),esk9_1(X28))
| ~ big_p(a)
| ~ big_p(X29)
| ~ big_r(X28,X29)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_p(X22)
| ~ big_r(X21,X22)
| ~ big_p(a) ) ),
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)],[c_0_1])])])])])]) ).
fof(c_0_4,plain,
( ~ epred3_0
<=> ! [X1] :
( big_p(X1)
| big_r(X1,esk8_1(X1)) ) ),
introduced(definition) ).
cnf(c_0_5,negated_conjecture,
( epred9_0
| big_r(X1,esk10_1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( big_r(esk3_0,esk4_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( big_r(esk3_0,esk4_0)
| big_p(esk2_0)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_8,plain,
( ~ epred11_0
<=> ! [X1,X2] :
( big_r(esk10_1(X1),esk9_1(X1))
| ~ big_p(X2)
| ~ big_r(X1,X2) ) ),
introduced(definition) ).
cnf(c_0_9,negated_conjecture,
( big_p(esk4_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( big_p(esk4_0)
| big_p(esk2_0)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
( big_r(esk3_0,esk4_0)
| ~ big_p(esk3_0)
| ~ big_p(X1)
| ~ big_r(esk1_0,X2)
| ~ big_r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( epred3_0
| big_r(X1,esk8_1(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_4]) ).
fof(c_0_13,plain,
( ~ epred5_0
<=> ! [X1] :
( big_p(X1)
| big_r(esk8_1(X1),esk7_1(X1)) ) ),
introduced(definition) ).
cnf(c_0_14,negated_conjecture,
( big_p(esk4_0)
| ~ big_p(esk3_0)
| ~ big_p(X1)
| ~ big_r(esk1_0,X2)
| ~ big_r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_15,plain,
( ~ epred14_0
<=> ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(esk3_0,X2) ) ),
introduced(definition) ).
cnf(c_0_16,negated_conjecture,
( epred9_0
| big_r(esk1_0,esk10_1(esk1_0))
| big_r(esk3_0,esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_17,negated_conjecture,
( epred11_0
| big_r(esk10_1(X1),esk9_1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
fof(c_0_18,plain,
( ~ epred7_0
<=> ! [X1,X2] :
( big_p(esk9_1(X1))
| ~ big_p(X2)
| ~ big_r(X1,X2) ) ),
introduced(definition) ).
cnf(c_0_19,negated_conjecture,
( epred9_0
| big_r(esk1_0,esk10_1(esk1_0))
| big_p(esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_9]),c_0_10]) ).
cnf(c_0_20,negated_conjecture,
( epred3_0
| big_r(esk3_0,esk4_0)
| big_p(esk1_0)
| ~ big_r(esk8_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( epred5_0
| big_r(esk8_1(X1),esk7_1(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
fof(c_0_22,plain,
( ~ epred1_0
<=> ! [X1] :
( big_p(X1)
| big_p(esk7_1(X1)) ) ),
introduced(definition) ).
cnf(c_0_23,negated_conjecture,
( epred3_0
| big_p(esk1_0)
| big_p(esk4_0)
| ~ big_r(esk8_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_24,negated_conjecture,
( epred14_0
| ~ big_r(esk3_0,X1)
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( epred9_0
| big_r(esk3_0,esk4_0)
| ~ big_r(esk10_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( epred11_0
| big_r(esk10_1(esk1_0),esk9_1(esk1_0))
| big_r(esk3_0,esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_6]),c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( epred7_0
| big_p(esk9_1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
( epred9_0
| big_p(esk4_0)
| ~ big_r(esk10_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_29,negated_conjecture,
( epred11_0
| big_r(esk10_1(esk1_0),esk9_1(esk1_0))
| big_p(esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_9]),c_0_10]) ).
cnf(c_0_30,negated_conjecture,
( epred5_0
| epred3_0
| big_r(esk3_0,esk4_0)
| big_p(esk1_0)
| ~ big_p(esk7_1(esk1_0))
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_31,negated_conjecture,
( epred1_0
| big_p(esk7_1(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( epred5_0
| epred3_0
| big_p(esk4_0)
| big_p(esk1_0)
| ~ big_p(esk7_1(esk1_0))
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_33,negated_conjecture,
( epred14_0
| epred3_0
| big_p(esk3_0)
| ~ big_r(esk8_1(esk3_0),X1)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_12]) ).
cnf(c_0_34,negated_conjecture,
( epred11_0
| epred9_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk9_1(esk1_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( epred7_0
| big_r(esk3_0,esk4_0)
| big_p(esk9_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_6]),c_0_7]) ).
cnf(c_0_36,negated_conjecture,
( epred11_0
| epred9_0
| big_p(esk4_0)
| ~ big_p(esk9_1(esk1_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,negated_conjecture,
( epred7_0
| big_p(esk9_1(esk1_0))
| big_p(esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_9]),c_0_10]) ).
cnf(c_0_38,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_r(esk3_0,esk4_0)
| big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_p(esk1_0)
| big_p(esk4_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( epred14_0
| epred5_0
| epred3_0
| big_p(esk3_0)
| ~ big_p(esk7_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
fof(c_0_41,plain,
( ~ epred16_0
<=> ! [X3,X4] :
( ~ big_p(X3)
| ~ big_p(esk3_0)
| ~ big_r(X4,X3)
| ~ big_r(esk1_0,X4) ) ),
introduced(definition) ).
fof(c_0_42,plain,
( ~ epred4_0
<=> ! [X2] :
( big_p(X2)
| big_r(X2,esk6_1(X2)) ) ),
introduced(definition) ).
cnf(c_0_43,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_p(esk4_0)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,negated_conjecture,
( epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_r(esk3_0,esk10_1(esk3_0))
| big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_38]),c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( epred14_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_31]) ).
cnf(c_0_47,negated_conjecture,
( epred16_0
| ~ big_r(esk1_0,X1)
| ~ big_r(X1,X2)
| ~ big_p(esk3_0)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_41]) ).
fof(c_0_48,plain,
( ~ epred10_0
<=> ! [X2,X3] :
( big_r(X2,esk6_1(X2))
| ~ big_p(X3)
| ~ big_r(X2,X3) ) ),
introduced(definition) ).
cnf(c_0_49,negated_conjecture,
( epred4_0
| big_r(X1,esk6_1(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_42]) ).
fof(c_0_50,plain,
( ~ epred6_0
<=> ! [X2] :
( big_p(X2)
| big_r(esk6_1(X2),esk5_1(X2)) ) ),
introduced(definition) ).
cnf(c_0_51,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(esk3_0,esk10_1(esk3_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_43]),c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( epred14_0
| epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk1_0)
| ~ big_r(esk10_1(esk3_0),X1)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_45]),c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( epred11_0
| epred5_0
| epred3_0
| epred1_0
| big_r(esk10_1(esk3_0),esk9_1(esk3_0))
| big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_38]),c_0_39]) ).
cnf(c_0_54,negated_conjecture,
( epred16_0
| epred9_0
| big_r(esk3_0,esk4_0)
| ~ big_r(esk10_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_16]) ).
fof(c_0_55,plain,
( ~ epred19_0
<=> ! [X5,X6] :
( ~ big_p(X5)
| ~ big_r(X6,X5)
| ~ big_r(esk1_0,X6) ) ),
introduced(definition) ).
cnf(c_0_56,negated_conjecture,
( epred10_0
| big_r(X1,esk6_1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_48]) ).
fof(c_0_57,plain,
( ~ epred12_0
<=> ! [X2,X3] :
( big_r(esk6_1(X2),esk5_1(X2))
| ~ big_p(X3)
| ~ big_r(X2,X3) ) ),
introduced(definition) ).
cnf(c_0_58,negated_conjecture,
( epred4_0
| big_r(esk3_0,esk4_0)
| big_p(esk1_0)
| ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_49]) ).
cnf(c_0_59,negated_conjecture,
( epred6_0
| big_r(esk6_1(X1),esk5_1(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_50]) ).
fof(c_0_60,plain,
( ~ epred2_0
<=> ! [X2] :
( big_p(X2)
| big_p(esk5_1(X2)) ) ),
introduced(definition) ).
cnf(c_0_61,negated_conjecture,
( big_p(esk7_1(X1))
| big_p(X1)
| big_p(esk5_1(X2))
| big_p(X2)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_62,negated_conjecture,
( big_p(a)
| big_p(a)
| big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_63,negated_conjecture,
( epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_r(esk10_1(esk3_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_51]) ).
cnf(c_0_64,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(esk10_1(esk3_0),esk9_1(esk3_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_43]),c_0_44]) ).
cnf(c_0_65,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_p(esk9_1(esk3_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_43]),c_0_44]) ).
cnf(c_0_66,negated_conjecture,
( epred14_0
| epred11_0
| epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk1_0)
| ~ big_p(esk9_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_46]) ).
cnf(c_0_67,negated_conjecture,
( epred7_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk9_1(esk3_0))
| big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_38]),c_0_39]) ).
cnf(c_0_68,negated_conjecture,
( big_r(X1,esk8_1(X1))
| big_p(X1)
| big_p(esk5_1(X2))
| big_p(X2)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_69,negated_conjecture,
( big_r(esk8_1(X1),esk7_1(X1))
| big_p(X1)
| big_p(esk5_1(X2))
| big_p(X2)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_70,negated_conjecture,
( big_p(esk9_1(X1))
| big_p(esk5_1(X3))
| big_p(X3)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_71,negated_conjecture,
( big_r(X1,esk10_1(X1))
| big_p(esk5_1(X3))
| big_p(X3)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_72,negated_conjecture,
( big_r(esk10_1(X1),esk9_1(X1))
| big_p(esk5_1(X3))
| big_p(X3)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_73,negated_conjecture,
( big_p(esk7_1(X1))
| big_p(X1)
| big_r(X2,esk6_1(X2))
| big_p(X2)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_74,negated_conjecture,
( big_r(X1,esk8_1(X1))
| big_p(X1)
| big_r(X2,esk6_1(X2))
| big_p(X2)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_75,negated_conjecture,
( big_r(esk8_1(X1),esk7_1(X1))
| big_p(X1)
| big_r(X2,esk6_1(X2))
| big_p(X2)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_76,negated_conjecture,
( big_p(esk9_1(X1))
| big_r(X3,esk6_1(X3))
| big_p(X3)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_77,negated_conjecture,
( big_r(X1,esk10_1(X1))
| big_r(X3,esk6_1(X3))
| big_p(X3)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_78,negated_conjecture,
( big_r(esk10_1(X1),esk9_1(X1))
| big_r(X3,esk6_1(X3))
| big_p(X3)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_79,negated_conjecture,
( big_p(esk7_1(X1))
| big_p(X1)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X2)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_80,negated_conjecture,
( big_r(X1,esk8_1(X1))
| big_p(X1)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X2)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_81,negated_conjecture,
( big_r(esk8_1(X1),esk7_1(X1))
| big_p(X1)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X2)
| ~ big_p(a)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_82,negated_conjecture,
( big_p(esk9_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| big_p(X3)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_83,negated_conjecture,
( big_r(X1,esk10_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| big_p(X3)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_84,negated_conjecture,
( big_r(esk10_1(X1),esk9_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| big_p(X3)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_85,negated_conjecture,
( big_p(esk7_1(X1))
| big_p(X1)
| big_r(X2,esk6_1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X2,X3)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_86,negated_conjecture,
( big_r(X1,esk8_1(X1))
| big_p(X1)
| big_r(X2,esk6_1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X2,X3)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_87,negated_conjecture,
( big_r(esk8_1(X1),esk7_1(X1))
| big_p(X1)
| big_r(X2,esk6_1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X2,X3)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_88,negated_conjecture,
( big_p(esk9_1(X1))
| big_r(X3,esk6_1(X3))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(X4)
| ~ big_r(X3,X4)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_89,negated_conjecture,
( big_r(X1,esk10_1(X1))
| big_r(X3,esk6_1(X3))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(X4)
| ~ big_r(X3,X4)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_90,negated_conjecture,
( big_r(esk10_1(X1),esk9_1(X1))
| big_r(X3,esk6_1(X3))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(X4)
| ~ big_r(X3,X4)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_91,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk9_1(esk1_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_92,negated_conjecture,
( epred19_0
| ~ big_r(esk1_0,X1)
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_55]) ).
cnf(c_0_93,negated_conjecture,
( epred10_0
| big_r(esk1_0,esk6_1(esk1_0))
| big_r(esk3_0,esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_6]),c_0_7]) ).
cnf(c_0_94,negated_conjecture,
( epred12_0
| big_r(esk6_1(X1),esk5_1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_57]) ).
fof(c_0_95,plain,
( ~ epred8_0
<=> ! [X2,X3] :
( big_p(esk5_1(X2))
| ~ big_p(X3)
| ~ big_r(X2,X3) ) ),
introduced(definition) ).
cnf(c_0_96,negated_conjecture,
( epred10_0
| big_r(esk1_0,esk6_1(esk1_0))
| big_p(esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_9]),c_0_10]) ).
cnf(c_0_97,negated_conjecture,
( epred6_0
| epred4_0
| big_r(esk3_0,esk4_0)
| big_p(esk1_0)
| ~ big_p(esk5_1(esk1_0))
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_98,negated_conjecture,
( epred2_0
| big_p(esk5_1(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_60]) ).
cnf(c_0_99,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(esk5_1(X2))
| big_p(esk7_1(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_61]) ).
cnf(c_0_100,negated_conjecture,
big_p(a),
inference(cn,[status(thm)],[c_0_62]) ).
cnf(c_0_101,negated_conjecture,
( epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_102,negated_conjecture,
( epred14_0
| epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_46]) ).
cnf(c_0_103,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(esk5_1(X2))
| big_r(X1,esk8_1(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_68]) ).
cnf(c_0_104,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(esk5_1(X2))
| big_r(esk8_1(X1),esk7_1(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_69]) ).
cnf(c_0_105,negated_conjecture,
( big_p(X3)
| big_p(esk5_1(X3))
| big_p(esk9_1(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_70]) ).
cnf(c_0_106,negated_conjecture,
( big_p(X3)
| big_p(esk5_1(X3))
| big_r(X1,esk10_1(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_71]) ).
cnf(c_0_107,negated_conjecture,
( big_p(X3)
| big_p(esk5_1(X3))
| big_r(esk10_1(X1),esk9_1(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_72]) ).
cnf(c_0_108,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(esk7_1(X1))
| big_r(X2,esk6_1(X2))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_73]) ).
cnf(c_0_109,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_r(X2,esk6_1(X2))
| big_r(X1,esk8_1(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_74]) ).
cnf(c_0_110,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_r(X2,esk6_1(X2))
| big_r(esk8_1(X1),esk7_1(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_75]) ).
cnf(c_0_111,negated_conjecture,
( big_p(X3)
| big_p(esk9_1(X1))
| big_r(X3,esk6_1(X3))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_76]) ).
cnf(c_0_112,negated_conjecture,
( big_p(X3)
| big_r(X3,esk6_1(X3))
| big_r(X1,esk10_1(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_77]) ).
cnf(c_0_113,negated_conjecture,
( big_p(X3)
| big_r(X3,esk6_1(X3))
| big_r(esk10_1(X1),esk9_1(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_78]) ).
cnf(c_0_114,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(esk7_1(X1))
| big_r(esk6_1(X2),esk5_1(X2))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_79]) ).
cnf(c_0_115,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_r(X1,esk8_1(X1))
| big_r(esk6_1(X2),esk5_1(X2))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_80]) ).
cnf(c_0_116,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_r(esk6_1(X2),esk5_1(X2))
| big_r(esk8_1(X1),esk7_1(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_81]) ).
cnf(c_0_117,negated_conjecture,
( big_p(X3)
| big_p(esk9_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_82]) ).
cnf(c_0_118,negated_conjecture,
( big_p(X3)
| big_r(X1,esk10_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_83]) ).
cnf(c_0_119,negated_conjecture,
( big_p(X3)
| big_r(esk6_1(X3),esk5_1(X3))
| big_r(esk10_1(X1),esk9_1(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_84]) ).
cnf(c_0_120,negated_conjecture,
( big_p(X1)
| big_p(esk7_1(X1))
| big_r(X2,esk6_1(X2))
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X3) ),
inference(cn,[status(thm)],[c_0_85]) ).
cnf(c_0_121,negated_conjecture,
( big_p(X1)
| big_r(X2,esk6_1(X2))
| big_r(X1,esk8_1(X1))
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X3) ),
inference(cn,[status(thm)],[c_0_86]) ).
cnf(c_0_122,negated_conjecture,
( big_p(X1)
| big_r(X2,esk6_1(X2))
| big_r(esk8_1(X1),esk7_1(X1))
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X3) ),
inference(cn,[status(thm)],[c_0_87]) ).
cnf(c_0_123,negated_conjecture,
( big_p(esk9_1(X1))
| big_r(X3,esk6_1(X3))
| ~ big_p(X4)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_88]) ).
cnf(c_0_124,negated_conjecture,
( big_r(X3,esk6_1(X3))
| big_r(X1,esk10_1(X1))
| ~ big_p(X4)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_89]) ).
cnf(c_0_125,negated_conjecture,
( big_r(X3,esk6_1(X3))
| big_r(esk10_1(X1),esk9_1(X1))
| ~ big_p(X4)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_90]) ).
cnf(c_0_126,negated_conjecture,
( big_p(esk7_1(X1))
| big_p(X1)
| big_r(esk6_1(X2),esk5_1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X2,X3)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_127,negated_conjecture,
( big_r(X1,esk8_1(X1))
| big_p(X1)
| big_r(esk6_1(X2),esk5_1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X2,X3)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_128,negated_conjecture,
( big_r(esk8_1(X1),esk7_1(X1))
| big_p(X1)
| big_r(esk6_1(X2),esk5_1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X2,X3)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_129,negated_conjecture,
( big_p(esk9_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(X4)
| ~ big_r(X3,X4)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_130,negated_conjecture,
( big_r(X1,esk10_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(X4)
| ~ big_r(X3,X4)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_131,negated_conjecture,
( big_r(esk10_1(X1),esk9_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(X4)
| ~ big_r(X3,X4)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_132,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred7_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_35]) ).
cnf(c_0_133,negated_conjecture,
( epred19_0
| epred9_0
| big_r(esk3_0,esk4_0)
| ~ big_r(esk10_1(esk1_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_16]) ).
cnf(c_0_134,negated_conjecture,
( epred10_0
| big_r(esk3_0,esk4_0)
| ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_93]) ).
cnf(c_0_135,negated_conjecture,
( epred12_0
| big_r(esk6_1(esk1_0),esk5_1(esk1_0))
| big_r(esk3_0,esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_6]),c_0_7]) ).
cnf(c_0_136,negated_conjecture,
( epred8_0
| big_p(esk5_1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_95]) ).
cnf(c_0_137,negated_conjecture,
( epred10_0
| big_p(esk4_0)
| ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_96]) ).
cnf(c_0_138,negated_conjecture,
( epred12_0
| big_r(esk6_1(esk1_0),esk5_1(esk1_0))
| big_p(esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_9]),c_0_10]) ).
cnf(c_0_139,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_r(esk3_0,esk4_0)
| big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_140,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]),c_0_22]),c_0_60]) ).
cnf(c_0_141,negated_conjecture,
( epred14_0
| epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_46]) ).
cnf(c_0_142,negated_conjecture,
( ~ epred3_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_100])]),c_0_4]),c_0_60]) ).
cnf(c_0_143,negated_conjecture,
( ~ epred5_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_100])]),c_0_13]),c_0_60]) ).
cnf(c_0_144,negated_conjecture,
( ~ epred7_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_100])]),c_0_18]),c_0_60]) ).
cnf(c_0_145,negated_conjecture,
( ~ epred9_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_100])]),c_0_2]),c_0_60]) ).
cnf(c_0_146,negated_conjecture,
( ~ epred11_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_100])]),c_0_8]),c_0_60]) ).
cnf(c_0_147,negated_conjecture,
( ~ epred4_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_100])]),c_0_42]),c_0_22]) ).
cnf(c_0_148,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_100])]),c_0_4]),c_0_42]) ).
cnf(c_0_149,negated_conjecture,
( ~ epred5_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_100])]),c_0_13]),c_0_42]) ).
cnf(c_0_150,negated_conjecture,
( ~ epred7_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_100])]),c_0_42]),c_0_18]) ).
cnf(c_0_151,negated_conjecture,
( ~ epred9_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_100])]),c_0_2]),c_0_42]) ).
cnf(c_0_152,negated_conjecture,
( ~ epred11_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_100])]),c_0_8]),c_0_42]) ).
cnf(c_0_153,negated_conjecture,
( ~ epred6_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_100])]),c_0_50]),c_0_22]) ).
cnf(c_0_154,negated_conjecture,
( ~ epred6_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_100])]),c_0_50]),c_0_4]) ).
cnf(c_0_155,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_100])]),c_0_13]),c_0_50]) ).
cnf(c_0_156,negated_conjecture,
( ~ epred7_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_100])]),c_0_50]),c_0_18]) ).
cnf(c_0_157,negated_conjecture,
( ~ epred9_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_100])]),c_0_50]),c_0_2]) ).
cnf(c_0_158,negated_conjecture,
( ~ epred11_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_100])]),c_0_8]),c_0_50]) ).
cnf(c_0_159,negated_conjecture,
( ~ epred10_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_100])]),c_0_48]),c_0_22]) ).
cnf(c_0_160,negated_conjecture,
( ~ epred10_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_100])]),c_0_4]),c_0_48]) ).
cnf(c_0_161,negated_conjecture,
( ~ epred10_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_100])]),c_0_13]),c_0_48]) ).
cnf(c_0_162,negated_conjecture,
( ~ epred10_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_100])]),c_0_48]),c_0_18]) ).
cnf(c_0_163,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_100])]),c_0_2]),c_0_48]) ).
cnf(c_0_164,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_100])]),c_0_8]),c_0_48]) ).
cnf(c_0_165,negated_conjecture,
( big_p(X1)
| big_p(esk7_1(X1))
| big_r(esk6_1(X2),esk5_1(X2))
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X3) ),
inference(cn,[status(thm)],[c_0_126]) ).
cnf(c_0_166,negated_conjecture,
( big_p(X1)
| big_r(X1,esk8_1(X1))
| big_r(esk6_1(X2),esk5_1(X2))
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X3) ),
inference(cn,[status(thm)],[c_0_127]) ).
cnf(c_0_167,negated_conjecture,
( big_p(X1)
| big_r(esk6_1(X2),esk5_1(X2))
| big_r(esk8_1(X1),esk7_1(X1))
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X3) ),
inference(cn,[status(thm)],[c_0_128]) ).
cnf(c_0_168,negated_conjecture,
( big_p(esk9_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| ~ big_p(X4)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_129]) ).
cnf(c_0_169,negated_conjecture,
( big_r(X1,esk10_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| ~ big_p(X4)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_130]) ).
cnf(c_0_170,negated_conjecture,
( big_r(esk6_1(X3),esk5_1(X3))
| big_r(esk10_1(X1),esk9_1(X1))
| ~ big_p(X4)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_131]) ).
cnf(c_0_171,negated_conjecture,
( big_p(esk7_1(X1))
| big_p(X1)
| big_p(esk5_1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X2,X3)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_172,negated_conjecture,
( big_r(X1,esk8_1(X1))
| big_p(X1)
| big_p(esk5_1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X2,X3)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_173,negated_conjecture,
( big_r(esk8_1(X1),esk7_1(X1))
| big_p(X1)
| big_p(esk5_1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X2,X3)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_174,negated_conjecture,
( big_p(esk9_1(X1))
| big_p(esk5_1(X3))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(X4)
| ~ big_r(X3,X4)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_175,negated_conjecture,
( big_r(X1,esk10_1(X1))
| big_p(esk5_1(X3))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(X4)
| ~ big_r(X3,X4)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_176,negated_conjecture,
( big_r(esk10_1(X1),esk9_1(X1))
| big_p(esk5_1(X3))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_p(X4)
| ~ big_r(X3,X4)
| ~ big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_177,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred7_0
| big_r(esk3_0,esk10_1(esk3_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_132]),c_0_44]) ).
cnf(c_0_178,negated_conjecture,
( epred16_0
| epred4_0
| big_p(esk1_0)
| ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_49]) ).
cnf(c_0_179,negated_conjecture,
( epred14_0
| epred4_0
| big_p(esk3_0)
| ~ big_r(esk6_1(esk3_0),X1)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_49]) ).
cnf(c_0_180,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk9_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_26]) ).
cnf(c_0_181,negated_conjecture,
( epred12_0
| epred10_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk5_1(esk1_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_182,negated_conjecture,
( epred8_0
| big_r(esk3_0,esk4_0)
| big_p(esk5_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_6]),c_0_7]) ).
cnf(c_0_183,negated_conjecture,
( epred12_0
| epred10_0
| big_p(esk4_0)
| ~ big_p(esk5_1(esk1_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_184,negated_conjecture,
( epred8_0
| big_p(esk5_1(esk1_0))
| big_p(esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_9]),c_0_10]) ).
cnf(c_0_185,negated_conjecture,
( epred10_0
| epred6_0
| epred4_0
| epred2_0
| big_r(esk3_0,esk6_1(esk3_0))
| big_p(esk1_0)
| ~ big_p(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_139]),c_0_49]) ).
cnf(c_0_186,negated_conjecture,
( epred14_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_143]),c_0_144]),c_0_145]),c_0_146]) ).
cnf(c_0_187,negated_conjecture,
( epred14_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_141]),c_0_148]),c_0_149]),c_0_150]),c_0_151]),c_0_152]) ).
cnf(c_0_188,negated_conjecture,
( epred14_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_141]),c_0_154]),c_0_155]),c_0_156]),c_0_157]),c_0_158]) ).
cnf(c_0_189,negated_conjecture,
( epred14_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_141]),c_0_160]),c_0_161]),c_0_162]),c_0_163]),c_0_164]) ).
cnf(c_0_190,negated_conjecture,
( ~ epred12_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_100])]),c_0_57]),c_0_22]) ).
cnf(c_0_191,negated_conjecture,
( ~ epred12_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_100])]),c_0_57]),c_0_4]) ).
cnf(c_0_192,negated_conjecture,
( ~ epred12_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_100])]),c_0_13]),c_0_57]) ).
cnf(c_0_193,negated_conjecture,
( ~ epred12_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_100])]),c_0_57]),c_0_18]) ).
cnf(c_0_194,negated_conjecture,
( ~ epred12_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_100])]),c_0_57]),c_0_2]) ).
cnf(c_0_195,negated_conjecture,
( ~ epred12_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_100])]),c_0_8]),c_0_57]) ).
cnf(c_0_196,negated_conjecture,
( big_p(X1)
| big_p(esk5_1(X2))
| big_p(esk7_1(X1))
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X3) ),
inference(cn,[status(thm)],[c_0_171]) ).
cnf(c_0_197,negated_conjecture,
( big_p(X1)
| big_p(esk5_1(X2))
| big_r(X1,esk8_1(X1))
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X3) ),
inference(cn,[status(thm)],[c_0_172]) ).
cnf(c_0_198,negated_conjecture,
( big_p(X1)
| big_p(esk5_1(X2))
| big_r(esk8_1(X1),esk7_1(X1))
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X3) ),
inference(cn,[status(thm)],[c_0_173]) ).
cnf(c_0_199,negated_conjecture,
( big_p(esk5_1(X3))
| big_p(esk9_1(X1))
| ~ big_p(X4)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_174]) ).
cnf(c_0_200,negated_conjecture,
( big_p(esk5_1(X3))
| big_r(X1,esk10_1(X1))
| ~ big_p(X4)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_175]) ).
cnf(c_0_201,negated_conjecture,
( big_p(esk5_1(X3))
| big_r(esk10_1(X1),esk9_1(X1))
| ~ big_p(X4)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_r(X1,X2) ),
inference(cn,[status(thm)],[c_0_176]) ).
cnf(c_0_202,negated_conjecture,
( epred16_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_r(esk10_1(esk3_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_177]) ).
cnf(c_0_203,negated_conjecture,
( epred16_0
| epred6_0
| epred4_0
| big_p(esk1_0)
| ~ big_p(esk5_1(esk1_0))
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_178,c_0_59]) ).
cnf(c_0_204,negated_conjecture,
( epred14_0
| epred6_0
| epred4_0
| big_p(esk3_0)
| ~ big_p(esk5_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_179,c_0_59]) ).
cnf(c_0_205,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| epred7_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_180,c_0_35]) ).
cnf(c_0_206,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_207,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_p(esk4_0)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_208,negated_conjecture,
( epred14_0
| big_p(esk1_0)
| ~ big_r(esk6_1(esk3_0),X1)
| ~ big_p(esk4_0)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_185]),c_0_186]),c_0_187]),c_0_188]),c_0_189]) ).
cnf(c_0_209,negated_conjecture,
( epred12_0
| epred6_0
| epred4_0
| epred2_0
| big_r(esk6_1(esk3_0),esk5_1(esk3_0))
| big_p(esk1_0)
| ~ big_p(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_139]),c_0_59]) ).
cnf(c_0_210,negated_conjecture,
( epred14_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_141]),c_0_191]),c_0_192]),c_0_193]),c_0_194]),c_0_195]) ).
cnf(c_0_211,negated_conjecture,
( ~ epred8_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_100])]),c_0_22]),c_0_95]) ).
cnf(c_0_212,negated_conjecture,
( ~ epred8_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_100])]),c_0_4]),c_0_95]) ).
cnf(c_0_213,negated_conjecture,
( ~ epred8_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_100])]),c_0_13]),c_0_95]) ).
cnf(c_0_214,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_100])]),c_0_18]),c_0_95]) ).
cnf(c_0_215,negated_conjecture,
( ~ epred9_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_100])]),c_0_2]),c_0_95]) ).
cnf(c_0_216,negated_conjecture,
( ~ epred11_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_100])]),c_0_8]),c_0_95]) ).
cnf(c_0_217,negated_conjecture,
( epred4_0
| big_p(esk1_0)
| big_p(esk4_0)
| ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_49]) ).
cnf(c_0_218,negated_conjecture,
( epred16_0
| epred3_0
| big_p(esk1_0)
| ~ big_r(esk8_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_12]) ).
cnf(c_0_219,negated_conjecture,
( epred16_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_64]),c_0_65]) ).
cnf(c_0_220,negated_conjecture,
( epred16_0
| epred6_0
| epred4_0
| epred2_0
| big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_203,c_0_98]) ).
cnf(c_0_221,negated_conjecture,
( epred14_0
| epred6_0
| epred4_0
| epred2_0
| big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_204,c_0_98]) ).
cnf(c_0_222,negated_conjecture,
( epred19_0
| epred10_0
| big_r(esk3_0,esk4_0)
| ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_223,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| epred7_0
| big_r(esk3_0,esk10_1(esk3_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_205]),c_0_44]) ).
cnf(c_0_224,negated_conjecture,
( epred19_0
| epred3_0
| big_p(esk1_0)
| ~ big_r(esk8_1(esk1_0),X1)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_12]) ).
cnf(c_0_225,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(esk3_0,esk6_1(esk3_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_206]),c_0_207]) ).
cnf(c_0_226,negated_conjecture,
( epred14_0
| big_p(esk1_0)
| ~ big_p(esk5_1(esk3_0))
| ~ big_p(esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_186]),c_0_187]),c_0_188]),c_0_210]) ).
cnf(c_0_227,negated_conjecture,
( epred8_0
| epred6_0
| epred4_0
| epred2_0
| big_p(esk5_1(esk3_0))
| big_p(esk1_0)
| ~ big_p(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_139]),c_0_98]) ).
cnf(c_0_228,negated_conjecture,
( epred14_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_141]),c_0_212]),c_0_213]),c_0_214]),c_0_215]),c_0_216]) ).
cnf(c_0_229,negated_conjecture,
( epred6_0
| epred4_0
| big_p(esk4_0)
| big_p(esk1_0)
| ~ big_p(esk5_1(esk1_0))
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_217,c_0_59]) ).
cnf(c_0_230,negated_conjecture,
( epred16_0
| epred5_0
| epred3_0
| big_p(esk1_0)
| ~ big_p(esk7_1(esk1_0))
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_218,c_0_21]) ).
cnf(c_0_231,negated_conjecture,
( epred16_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]) ).
cnf(c_0_232,negated_conjecture,
( epred19_0
| epred12_0
| epred10_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk5_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_222,c_0_135]) ).
cnf(c_0_233,negated_conjecture,
( epred19_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_r(esk10_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_223]) ).
cnf(c_0_234,negated_conjecture,
( epred19_0
| epred5_0
| epred3_0
| big_p(esk1_0)
| ~ big_p(esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_224,c_0_21]) ).
cnf(c_0_235,negated_conjecture,
( epred14_0
| epred12_0
| epred10_0
| epred8_0
| ~ big_r(esk6_1(esk3_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_225]) ).
cnf(c_0_236,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(esk6_1(esk3_0),esk5_1(esk3_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_206]),c_0_207]) ).
cnf(c_0_237,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_p(esk5_1(esk3_0))
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_206]),c_0_207]) ).
cnf(c_0_238,negated_conjecture,
( epred14_0
| big_p(esk1_0)
| ~ big_p(esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_186]),c_0_187]),c_0_188]),c_0_228]) ).
cnf(c_0_239,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_p(esk1_0)
| big_p(esk4_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_229,c_0_98]) ).
cnf(c_0_240,negated_conjecture,
( epred16_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_230,c_0_31]) ).
cnf(c_0_241,negated_conjecture,
( epred16_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_231]),c_0_148]),c_0_154]) ).
cnf(c_0_242,negated_conjecture,
( epred16_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_231]),c_0_149]),c_0_155]) ).
fof(c_0_243,plain,
( ~ epred18_0
<=> ! [X3,X4] :
( big_r(esk1_0,esk2_0)
| ~ big_p(X3)
| ~ big_p(esk1_0)
| ~ big_r(X4,X3)
| ~ big_r(esk3_0,X4) ) ),
introduced(definition) ).
cnf(c_0_244,negated_conjecture,
( epred19_0
| epred12_0
| epred10_0
| epred8_0
| big_r(esk3_0,esk4_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_232,c_0_182]) ).
cnf(c_0_245,negated_conjecture,
( epred19_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_64]),c_0_65]) ).
cnf(c_0_246,negated_conjecture,
( epred19_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_234,c_0_31]) ).
cnf(c_0_247,negated_conjecture,
( big_r(esk3_0,esk4_0)
| big_p(esk2_0)
| ~ big_p(X1)
| ~ big_r(esk3_0,X2)
| ~ big_r(X2,X1)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_248,negated_conjecture,
( big_p(esk4_0)
| big_p(esk2_0)
| ~ big_p(X1)
| ~ big_r(esk3_0,X2)
| ~ big_r(X2,X1)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_249,negated_conjecture,
( epred14_0
| epred12_0
| epred10_0
| epred8_0
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).
cnf(c_0_250,negated_conjecture,
( epred14_0
| big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_221]),c_0_186]),c_0_187]),c_0_188]) ).
cnf(c_0_251,negated_conjecture,
( epred16_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_240]),c_0_46]),c_0_241]),c_0_242]) ).
cnf(c_0_252,negated_conjecture,
( big_p(esk2_0)
| ~ big_p(X1)
| ~ big_r(esk3_0,X2)
| ~ big_r(X2,X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_253,negated_conjecture,
( epred9_0
| big_r(esk3_0,esk10_1(esk3_0))
| big_p(esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_10]) ).
cnf(c_0_254,negated_conjecture,
( epred18_0
| big_r(esk1_0,esk2_0)
| ~ big_r(esk3_0,X1)
| ~ big_r(X1,X2)
| ~ big_p(esk1_0)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_243]) ).
cnf(c_0_255,negated_conjecture,
( epred19_0
| epred12_0
| epred10_0
| epred8_0
| big_r(esk3_0,esk6_1(esk3_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_244]),c_0_207]) ).
cnf(c_0_256,negated_conjecture,
( epred19_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_46]) ).
cnf(c_0_257,negated_conjecture,
( epred19_0
| epred4_0
| big_p(esk1_0)
| ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_49]) ).
cnf(c_0_258,negated_conjecture,
( epred3_0
| big_r(esk3_0,esk4_0)
| big_p(esk2_0)
| ~ big_r(esk8_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_12]),c_0_7]) ).
cnf(c_0_259,negated_conjecture,
( epred3_0
| big_p(esk4_0)
| big_p(esk2_0)
| ~ big_r(esk8_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_12]),c_0_10]) ).
cnf(c_0_260,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(esk3_0,X2)
| ~ big_r(X2,X1)
| ~ big_p(esk3_0)
| ~ big_p(X3)
| ~ big_r(esk1_0,X4)
| ~ big_r(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_261,negated_conjecture,
( epred14_0
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_228]),c_0_189]),c_0_210]) ).
fof(c_0_262,plain,
( ~ epred17_0
<=> ! [X3,X4] :
( big_p(esk2_0)
| ~ big_p(X3)
| ~ big_p(esk1_0)
| ~ big_r(X4,X3)
| ~ big_r(esk3_0,X4) ) ),
introduced(definition) ).
cnf(c_0_263,negated_conjecture,
( big_p(esk2_0)
| ~ big_p(X1)
| ~ big_r(esk3_0,X2)
| ~ big_r(X2,X1)
| ~ big_p(X3)
| ~ big_r(esk3_0,X4)
| ~ big_r(X4,X3)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_264,negated_conjecture,
( epred16_0
| epred14_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_251]),c_0_144]),c_0_145]),c_0_146]) ).
cnf(c_0_265,negated_conjecture,
( epred16_0
| epred14_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_251]),c_0_150]),c_0_151]),c_0_152]) ).
cnf(c_0_266,negated_conjecture,
( epred16_0
| epred14_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_251]),c_0_156]),c_0_157]),c_0_158]) ).
cnf(c_0_267,negated_conjecture,
( epred16_0
| epred14_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_251]),c_0_214]),c_0_215]),c_0_216]) ).
cnf(c_0_268,negated_conjecture,
( epred16_0
| epred14_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_251]),c_0_162]),c_0_163]),c_0_164]) ).
cnf(c_0_269,negated_conjecture,
( epred16_0
| epred14_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_251]),c_0_193]),c_0_194]),c_0_195]) ).
cnf(c_0_270,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(esk3_0,X2)
| ~ big_r(X2,X1)
| ~ big_p(X3)
| ~ big_r(esk3_0,X4)
| ~ big_r(X4,X3)
| ~ big_p(X5)
| ~ big_r(esk1_0,X6)
| ~ big_r(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_271,negated_conjecture,
( big_r(esk1_0,esk2_0)
| ~ big_p(X1)
| ~ big_r(esk3_0,X2)
| ~ big_r(X2,X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_272,negated_conjecture,
( epred9_0
| big_p(esk2_0)
| ~ big_r(esk10_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_273,negated_conjecture,
( epred11_0
| big_r(esk10_1(esk3_0),esk9_1(esk3_0))
| big_p(esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_7]),c_0_10]) ).
cnf(c_0_274,negated_conjecture,
( epred18_0
| epred3_0
| big_r(esk1_0,esk2_0)
| big_p(esk3_0)
| ~ big_r(esk8_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_12]) ).
cnf(c_0_275,negated_conjecture,
( epred19_0
| epred14_0
| epred12_0
| epred10_0
| epred8_0
| ~ big_r(esk6_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_255]) ).
cnf(c_0_276,negated_conjecture,
( epred19_0
| epred14_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_256]),c_0_212]),c_0_213]),c_0_214]),c_0_215]),c_0_216]) ).
cnf(c_0_277,negated_conjecture,
( epred19_0
| epred14_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_256]),c_0_160]),c_0_161]),c_0_162]),c_0_163]),c_0_164]) ).
cnf(c_0_278,negated_conjecture,
( epred19_0
| epred14_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_256]),c_0_191]),c_0_192]),c_0_193]),c_0_194]),c_0_195]) ).
cnf(c_0_279,negated_conjecture,
( epred19_0
| epred6_0
| epred4_0
| big_p(esk1_0)
| ~ big_p(esk5_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_257,c_0_59]) ).
cnf(c_0_280,negated_conjecture,
( epred5_0
| epred3_0
| big_r(esk3_0,esk4_0)
| big_p(esk2_0)
| ~ big_p(esk7_1(esk3_0))
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_21]),c_0_7]) ).
cnf(c_0_281,negated_conjecture,
( epred5_0
| epred3_0
| big_p(esk2_0)
| big_p(esk4_0)
| ~ big_p(esk7_1(esk3_0))
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_21]),c_0_10]) ).
cnf(c_0_282,negated_conjecture,
( ~ epred16_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_260,c_0_41]),c_0_15]) ).
cnf(c_0_283,negated_conjecture,
epred14_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_221]),c_0_186]),c_0_187]),c_0_188]) ).
cnf(c_0_284,negated_conjecture,
( ~ epred17_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_263,c_0_262]),c_0_15]) ).
cnf(c_0_285,negated_conjecture,
( epred16_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_220]),c_0_221]),c_0_264]),c_0_265]),c_0_266]),c_0_267]),c_0_268]),c_0_269]) ).
cnf(c_0_286,negated_conjecture,
( ~ epred19_0
| ~ epred14_0 ),
inference(cn,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_270,c_0_55]),c_0_15]),c_0_15])]) ).
cnf(c_0_287,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| epred7_0
| big_r(esk1_0,esk2_0)
| ~ big_r(esk10_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_271,c_0_223]) ).
cnf(c_0_288,negated_conjecture,
( epred11_0
| epred9_0
| big_p(esk2_0)
| ~ big_p(esk9_1(esk3_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_289,negated_conjecture,
( epred7_0
| big_p(esk9_1(esk3_0))
| big_p(esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_7]),c_0_10]) ).
cnf(c_0_290,negated_conjecture,
( epred18_0
| epred5_0
| epred3_0
| big_r(esk1_0,esk2_0)
| big_p(esk3_0)
| ~ big_p(esk7_1(esk3_0))
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_274,c_0_21]) ).
cnf(c_0_291,negated_conjecture,
( big_r(esk1_0,esk2_0)
| ~ big_p(X1)
| ~ big_r(esk3_0,X2)
| ~ big_r(X2,X1)
| ~ big_p(X3)
| ~ big_r(esk3_0,X4)
| ~ big_r(X4,X3)
| ~ big_p(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_292,negated_conjecture,
( epred19_0
| epred14_0
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_236]),c_0_237]),c_0_276]),c_0_277]),c_0_278]) ).
cnf(c_0_293,negated_conjecture,
( epred19_0
| epred6_0
| epred4_0
| epred2_0
| big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_279,c_0_98]) ).
cnf(c_0_294,negated_conjecture,
( epred19_0
| epred14_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_256]),c_0_142]),c_0_143]),c_0_144]),c_0_145]),c_0_146]) ).
cnf(c_0_295,negated_conjecture,
( epred19_0
| epred14_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_256]),c_0_148]),c_0_149]),c_0_150]),c_0_151]),c_0_152]) ).
cnf(c_0_296,negated_conjecture,
( epred19_0
| epred14_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_256]),c_0_154]),c_0_155]),c_0_156]),c_0_157]),c_0_158]) ).
cnf(c_0_297,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_r(esk3_0,esk4_0)
| big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_31]),c_0_7]) ).
cnf(c_0_298,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_p(esk4_0)
| big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_31]),c_0_10]) ).
cnf(c_0_299,negated_conjecture,
~ epred16_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_283])]) ).
cnf(c_0_300,negated_conjecture,
( epred16_0
| ~ epred17_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_301,negated_conjecture,
~ epred19_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_283])]) ).
cnf(c_0_302,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| epred7_0
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_64]),c_0_65]) ).
cnf(c_0_303,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_p(esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_304,negated_conjecture,
( epred18_0
| epred5_0
| epred3_0
| epred1_0
| big_r(esk1_0,esk2_0)
| big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_290,c_0_31]) ).
cnf(c_0_305,negated_conjecture,
( ~ epred18_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_291,c_0_243]),c_0_15]) ).
cnf(c_0_306,negated_conjecture,
( epred19_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_221]),c_0_294]),c_0_295]),c_0_296]) ).
cnf(c_0_307,negated_conjecture,
( epred17_0
| big_p(esk2_0)
| ~ big_r(esk3_0,X1)
| ~ big_r(X1,X2)
| ~ big_p(esk1_0)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_262]) ).
cnf(c_0_308,negated_conjecture,
( epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_r(esk3_0,esk10_1(esk3_0))
| big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_297]),c_0_298]) ).
cnf(c_0_309,negated_conjecture,
~ epred17_0,
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_310,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_p(esk1_0) ),
inference(sr,[status(thm)],[c_0_246,c_0_301]) ).
cnf(c_0_311,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| epred7_0
| big_r(esk1_0,esk10_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_302]),c_0_303]) ).
cnf(c_0_312,negated_conjecture,
( epred18_0
| epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_r(esk1_0,esk10_1(esk1_0))
| big_p(esk3_0)
| ~ big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_304]) ).
cnf(c_0_313,negated_conjecture,
( epred19_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_314,negated_conjecture,
~ epred18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_283])]) ).
cnf(c_0_315,negated_conjecture,
( epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk2_0)
| ~ big_r(esk10_1(esk3_0),X1)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_309]),c_0_310]) ).
cnf(c_0_316,negated_conjecture,
( epred11_0
| epred5_0
| epred3_0
| epred1_0
| big_r(esk10_1(esk3_0),esk9_1(esk3_0))
| big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_297]),c_0_298]) ).
cnf(c_0_317,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_r(esk10_1(esk1_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_311]) ).
cnf(c_0_318,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| epred7_0
| big_r(esk10_1(esk1_0),esk9_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_302]),c_0_303]) ).
cnf(c_0_319,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| epred7_0
| big_p(esk9_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_302]),c_0_303]) ).
cnf(c_0_320,negated_conjecture,
( epred10_0
| big_r(esk3_0,esk6_1(esk3_0))
| big_p(esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_7]),c_0_10]) ).
cnf(c_0_321,negated_conjecture,
( epred19_0
| epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk3_0)
| ~ big_r(esk10_1(esk1_0),X1)
| ~ big_p(esk2_0)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_312]),c_0_246]),c_0_313]) ).
cnf(c_0_322,negated_conjecture,
( epred11_0
| epred5_0
| epred3_0
| epred1_0
| big_r(esk10_1(esk1_0),esk9_1(esk1_0))
| big_p(esk3_0)
| ~ big_p(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_304]),c_0_314]),c_0_310]) ).
cnf(c_0_323,negated_conjecture,
( epred11_0
| epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk2_0)
| ~ big_p(esk9_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_310]) ).
cnf(c_0_324,negated_conjecture,
( epred7_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk9_1(esk3_0))
| big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_297]),c_0_298]) ).
cnf(c_0_325,negated_conjecture,
( epred19_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_319]) ).
cnf(c_0_326,negated_conjecture,
( epred10_0
| big_p(esk2_0)
| ~ big_r(esk6_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_252,c_0_320]) ).
cnf(c_0_327,negated_conjecture,
( epred12_0
| big_r(esk6_1(esk3_0),esk5_1(esk3_0))
| big_p(esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_7]),c_0_10]) ).
cnf(c_0_328,negated_conjecture,
( epred11_0
| epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk3_0)
| ~ big_p(esk9_1(esk1_0))
| ~ big_p(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_301]) ).
cnf(c_0_329,negated_conjecture,
( epred18_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk9_1(esk1_0))
| big_p(esk3_0)
| ~ big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_304]) ).
cnf(c_0_330,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0
| big_p(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_310]) ).
cnf(c_0_331,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0
| ~ big_p(esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_310]),c_0_301]) ).
cnf(c_0_332,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(esk1_0,esk2_0)
| ~ big_r(esk6_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_271,c_0_225]) ).
cnf(c_0_333,negated_conjecture,
( epred12_0
| epred10_0
| big_p(esk2_0)
| ~ big_p(esk5_1(esk3_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_334,negated_conjecture,
( epred8_0
| big_p(esk5_1(esk3_0))
| big_p(esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_7]),c_0_10]) ).
cnf(c_0_335,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_314]),c_0_310]),c_0_330]),c_0_331]) ).
cnf(c_0_336,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(esk1_0,esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_236]),c_0_237]) ).
cnf(c_0_337,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_p(esk2_0)
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_338,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_p(esk1_0) ),
inference(sr,[status(thm)],[c_0_293,c_0_301]) ).
cnf(c_0_339,negated_conjecture,
~ epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_335]),c_0_142]),c_0_143]),c_0_144]),c_0_145]),c_0_146]) ).
cnf(c_0_340,negated_conjecture,
( epred18_0
| epred4_0
| big_r(esk1_0,esk2_0)
| big_p(esk3_0)
| ~ big_r(esk6_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_49]) ).
cnf(c_0_341,negated_conjecture,
( epred17_0
| epred4_0
| big_p(esk3_0)
| big_p(esk2_0)
| ~ big_r(esk6_1(esk3_0),X1)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_307,c_0_49]) ).
cnf(c_0_342,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(esk1_0,esk6_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_336]),c_0_337]) ).
cnf(c_0_343,negated_conjecture,
( epred6_0
| epred4_0
| big_p(esk1_0) ),
inference(sr,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_344,negated_conjecture,
~ epred4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_335]),c_0_148]),c_0_149]),c_0_150]),c_0_151]),c_0_152]) ).
cnf(c_0_345,negated_conjecture,
( epred18_0
| epred6_0
| epred4_0
| big_r(esk1_0,esk2_0)
| big_p(esk3_0)
| ~ big_p(esk5_1(esk3_0))
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_340,c_0_59]) ).
cnf(c_0_346,negated_conjecture,
( epred17_0
| epred6_0
| epred4_0
| big_p(esk2_0)
| big_p(esk3_0)
| ~ big_p(esk5_1(esk3_0))
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_341,c_0_59]) ).
cnf(c_0_347,negated_conjecture,
( big_p(esk5_1(X1))
| big_p(X1) ),
inference(sr,[status(thm)],[c_0_98,c_0_339]) ).
cnf(c_0_348,negated_conjecture,
( epred16_0
| epred12_0
| epred10_0
| epred8_0
| ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_342]) ).
cnf(c_0_349,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(esk6_1(esk1_0),esk5_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_336]),c_0_337]) ).
cnf(c_0_350,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_p(esk5_1(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_336]),c_0_337]) ).
cnf(c_0_351,negated_conjecture,
( epred6_0
| big_p(esk1_0) ),
inference(sr,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_352,negated_conjecture,
~ epred6_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_335]),c_0_154]),c_0_155]),c_0_156]),c_0_157]),c_0_158]) ).
cnf(c_0_353,negated_conjecture,
( epred18_0
| epred6_0
| epred4_0
| epred2_0
| big_r(esk1_0,esk2_0)
| big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_345,c_0_98]) ).
cnf(c_0_354,negated_conjecture,
( epred6_0
| epred4_0
| big_p(esk3_0)
| big_p(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_309]),c_0_343]) ).
cnf(c_0_355,negated_conjecture,
( epred16_0
| epred12_0
| epred10_0
| epred8_0
| ~ big_p(esk3_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_350]) ).
cnf(c_0_356,negated_conjecture,
big_p(esk1_0),
inference(sr,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_357,negated_conjecture,
~ epred12_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_335]),c_0_191]),c_0_192]),c_0_193]),c_0_194]),c_0_195]) ).
cnf(c_0_358,negated_conjecture,
~ epred10_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_335]),c_0_160]),c_0_161]),c_0_162]),c_0_163]),c_0_164]) ).
cnf(c_0_359,negated_conjecture,
~ epred8_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_335]),c_0_212]),c_0_213]),c_0_214]),c_0_215]),c_0_216]) ).
cnf(c_0_360,negated_conjecture,
( epred18_0
| epred10_0
| epred6_0
| epred4_0
| epred2_0
| big_r(esk1_0,esk6_1(esk1_0))
| big_p(esk3_0)
| ~ big_p(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_353]),c_0_49]) ).
cnf(c_0_361,negated_conjecture,
( big_p(esk2_0)
| big_p(esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_354,c_0_344]),c_0_352]) ).
cnf(c_0_362,negated_conjecture,
~ big_p(esk3_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_356])]),c_0_299]),c_0_357]),c_0_358]),c_0_359]) ).
cnf(c_0_363,negated_conjecture,
( epred19_0
| epred10_0
| epred6_0
| epred4_0
| epred2_0
| big_p(esk3_0)
| ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(esk2_0)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_360]),c_0_313]) ).
cnf(c_0_364,negated_conjecture,
big_p(esk2_0),
inference(sr,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_365,negated_conjecture,
big_r(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_356])]),c_0_314]),c_0_352]),c_0_344]),c_0_339]),c_0_362]) ).
cnf(c_0_366,negated_conjecture,
( epred18_0
| epred8_0
| epred6_0
| epred4_0
| epred2_0
| big_p(esk5_1(esk1_0))
| big_p(esk3_0)
| ~ big_p(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_353]),c_0_98]) ).
cnf(c_0_367,negated_conjecture,
( ~ big_r(esk6_1(esk1_0),X1)
| ~ big_p(X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_364])]),c_0_301]),c_0_358]),c_0_352]),c_0_344]),c_0_339]),c_0_362]) ).
cnf(c_0_368,negated_conjecture,
big_r(esk6_1(esk1_0),esk5_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_365]),c_0_364])]),c_0_357]) ).
cnf(c_0_369,negated_conjecture,
big_p(esk5_1(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_366,c_0_364])]),c_0_314]),c_0_359]),c_0_352]),c_0_344]),c_0_339]),c_0_362]) ).
cnf(c_0_370,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_369])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n012.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 : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 18:03:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ByuxYtqrXM/E---3.1_22907.p
% 2.09/0.77 # Version: 3.1pre001
% 2.09/0.77 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.09/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.09/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.09/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.09/0.77 # Starting new_bool_1 with 300s (1) cores
% 2.09/0.77 # Starting sh5l with 300s (1) cores
% 2.09/0.77 # sh5l with pid 23005 completed with status 0
% 2.09/0.77 # Result found by sh5l
% 2.09/0.77 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.09/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.09/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.09/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.09/0.77 # Starting new_bool_1 with 300s (1) cores
% 2.09/0.77 # Starting sh5l with 300s (1) cores
% 2.09/0.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 2.09/0.77 # Search class: FGHNF-FSMS11-SFFFFFNN
% 2.09/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.09/0.77 # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 181s (1) cores
% 2.09/0.77 # G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with pid 23031 completed with status 0
% 2.09/0.77 # Result found by G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 2.09/0.77 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.09/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.09/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.09/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.09/0.77 # Starting new_bool_1 with 300s (1) cores
% 2.09/0.77 # Starting sh5l with 300s (1) cores
% 2.09/0.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 2.09/0.77 # Search class: FGHNF-FSMS11-SFFFFFNN
% 2.09/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.09/0.77 # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 181s (1) cores
% 2.09/0.77 # Preprocessing time : 0.002 s
% 2.09/0.77 # Presaturation interreduction done
% 2.09/0.77
% 2.09/0.77 # Proof found!
% 2.09/0.77 # SZS status Theorem
% 2.09/0.77 # SZS output start CNFRefutation
% See solution above
% 2.09/0.77 # Parsed axioms : 1
% 2.09/0.77 # Removed by relevancy pruning/SinE : 0
% 2.09/0.77 # Initial clauses : 84
% 2.09/0.77 # Removed in clause preprocessing : 0
% 2.09/0.77 # Initial clauses in saturation : 84
% 2.09/0.77 # Processed clauses : 2699
% 2.09/0.77 # ...of these trivial : 48
% 2.09/0.77 # ...subsumed : 1426
% 2.09/0.77 # ...remaining for further processing : 1225
% 2.09/0.77 # Other redundant clauses eliminated : 0
% 2.09/0.77 # Clauses deleted for lack of memory : 0
% 2.09/0.77 # Backward-subsumed : 405
% 2.09/0.77 # Backward-rewritten : 566
% 2.09/0.77 # Generated clauses : 5567
% 2.09/0.77 # ...of the previous two non-redundant : 4917
% 2.09/0.77 # ...aggressively subsumed : 0
% 2.09/0.77 # Contextual simplify-reflections : 551
% 2.09/0.77 # Paramodulations : 5482
% 2.09/0.77 # Factorizations : 0
% 2.09/0.77 # NegExts : 0
% 2.09/0.77 # Equation resolutions : 0
% 2.09/0.77 # Total rewrite steps : 717
% 2.09/0.77 # Propositional unsat checks : 0
% 2.09/0.77 # Propositional check models : 0
% 2.09/0.77 # Propositional check unsatisfiable : 0
% 2.09/0.77 # Propositional clauses : 0
% 2.09/0.77 # Propositional clauses after purity: 0
% 2.09/0.77 # Propositional unsat core size : 0
% 2.09/0.77 # Propositional preprocessing time : 0.000
% 2.09/0.77 # Propositional encoding time : 0.000
% 2.09/0.77 # Propositional solver time : 0.000
% 2.09/0.77 # Success case prop preproc time : 0.000
% 2.09/0.77 # Success case prop encoding time : 0.000
% 2.09/0.77 # Success case prop solver time : 0.000
% 2.09/0.77 # Current number of processed clauses : 114
% 2.09/0.77 # Positive orientable unit clauses : 10
% 2.09/0.77 # Positive unorientable unit clauses: 0
% 2.09/0.77 # Negative unit clauses : 13
% 2.09/0.77 # Non-unit-clauses : 91
% 2.09/0.77 # Current number of unprocessed clauses: 1933
% 2.09/0.77 # ...number of literals in the above : 17287
% 2.09/0.77 # Current number of archived formulas : 0
% 2.09/0.77 # Current number of archived clauses : 1069
% 2.09/0.77 # Clause-clause subsumption calls (NU) : 409548
% 2.09/0.77 # Rec. Clause-clause subsumption calls : 6219
% 2.09/0.77 # Non-unit clause-clause subsumptions : 2423
% 2.09/0.77 # Unit Clause-clause subsumption calls : 7784
% 2.09/0.77 # Rewrite failures with RHS unbound : 0
% 2.09/0.77 # BW rewrite match attempts : 9
% 2.09/0.77 # BW rewrite match successes : 6
% 2.09/0.77 # Condensation attempts : 0
% 2.09/0.77 # Condensation successes : 0
% 2.09/0.77 # Termbank termtop insertions : 112119
% 2.09/0.77
% 2.09/0.77 # -------------------------------------------------
% 2.09/0.77 # User time : 0.289 s
% 2.09/0.77 # System time : 0.004 s
% 2.09/0.77 # Total time : 0.293 s
% 2.09/0.77 # Maximum resident set size: 1916 pages
% 2.09/0.77
% 2.09/0.77 # -------------------------------------------------
% 2.09/0.77 # User time : 0.289 s
% 2.09/0.77 # System time : 0.007 s
% 2.09/0.77 # Total time : 0.296 s
% 2.09/0.77 # Maximum resident set size: 1728 pages
% 2.09/0.77 % E---3.1 exiting
%------------------------------------------------------------------------------