%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN067+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:22:50 PM UTC 2026
% Result : Theorem 0.15s 1.02s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 15
% Syntax : Number of formulae : 282 ( 15 unt; 0 def)
% Number of atoms : 1930 ( 0 equ)
% Maximal formula atoms : 500 ( 6 avg)
% Number of connectives : 2611 ( 963 ~;1512 |; 113 &)
% ( 17 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 103 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 383 ( 0 sgn 39 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel38,conjecture,
( ! [X1] :
( ( ( big_p(X1)
=> ? [X2] :
( big_r(X1,X2)
& big_p(X2) ) )
& big_p(a) )
=> ? [X3,X4] :
( big_r(X4,X3)
& big_r(X1,X4)
& big_p(X3) ) )
<=> ! [X5] :
( ( ? [X9,X10] :
( big_r(X10,X9)
& big_r(X5,X10)
& big_p(X9) )
| ~ ? [X8] :
( big_r(X5,X8)
& big_p(X8) )
| ~ big_p(a) )
& ( ? [X6,X7] :
( big_r(X7,X6)
& big_r(X5,X7)
& big_p(X6) )
| big_p(X5)
| ~ big_p(a) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1] :
( ( ( big_p(X1)
=> ? [X2] :
( big_r(X1,X2)
& big_p(X2) ) )
& big_p(a) )
=> ? [X3,X4] :
( big_r(X4,X3)
& big_r(X1,X4)
& big_p(X3) ) )
<=> ! [X5] :
( ( ? [X9,X10] :
( big_r(X10,X9)
& big_r(X5,X10)
& big_p(X9) )
| ~ ? [X8] :
( big_r(X5,X8)
& big_p(X8) )
| ~ big_p(a) )
& ( ? [X6,X7] :
( big_r(X7,X6)
& big_r(X5,X7)
& big_p(X6) )
| big_p(X5)
| ~ big_p(a) ) ) ),
inference(assume_negation,[status(cth)],[pel38]) ).
fof(c_0_2,plain,
( ~ epred13_0
<=> ! [X5,X6] :
( ~ big_r(esk1_0,X6)
| ~ big_r(X6,X5)
| ~ big_p(X5) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( ~ epred16_0
<=> ! [X1,X2] :
( ~ big_r(X1,X2)
| ~ big_p(X2)
| big_r(esk10_1(X1),esk9_1(X1)) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( ( ( big_p(X1)
=> ? [X2] :
( big_r(X1,X2)
& big_p(X2) ) )
& big_p(a) )
=> ? [X3,X4] :
( big_r(X4,X3)
& big_r(X1,X4)
& big_p(X3) ) )
<=> ! [X5] :
( ( ? [X9,X10] :
( big_r(X10,X9)
& big_r(X5,X10)
& big_p(X9) )
| ~ ? [X8] :
( big_r(X5,X8)
& big_p(X8) )
| ~ big_p(a) )
& ( ? [X6,X7] :
( big_r(X7,X6)
& big_r(X5,X7)
& big_p(X6) )
| big_p(X5)
| ~ big_p(a) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
cnf(c_0_5,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_r(esk1_0,X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(esk10_1(X1),esk9_1(X1))
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_7,plain,
( ~ epred14_0
<=> ! [X1,X2] :
( ~ big_r(X1,X2)
| ~ big_p(X2)
| big_r(X1,esk10_1(X1)) ) ),
introduced(definition) ).
fof(c_0_8,negated_conjecture,
! [X13,X14,X16,X17,X19,X20,X21,X22,X25,X28,X29] :
( ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(esk10_1(X28),esk9_1(X28)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(X28,esk10_1(X28)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_p(esk9_1(X28)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(esk8_1(X25),esk7_1(X25)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(X25,esk8_1(X25)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_p(esk7_1(X25)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(X21,esk6_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(esk10_1(X28),esk9_1(X28)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(X21,esk6_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(X28,esk10_1(X28)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(X21,esk6_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_p(esk9_1(X28)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(X21,esk6_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(esk8_1(X25),esk7_1(X25)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(X21,esk6_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(X25,esk8_1(X25)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_r(X21,esk6_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_p(esk7_1(X25)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_p(esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(esk10_1(X28),esk9_1(X28)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_p(esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(X28,esk10_1(X28)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_p(esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_p(esk9_1(X28)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_p(esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(esk8_1(X25),esk7_1(X25)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_p(esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(X25,esk8_1(X25)) )
& ( ~ big_p(a)
| ~ big_r(X21,X22)
| ~ big_p(X22)
| big_p(esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_p(esk7_1(X25)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(esk10_1(X28),esk9_1(X28)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(X28,esk10_1(X28)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(esk6_1(X21),esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_p(esk9_1(X28)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(esk8_1(X25),esk7_1(X25)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(X25,esk8_1(X25)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(esk6_1(X21),esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_p(esk7_1(X25)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(X21,esk6_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(esk10_1(X28),esk9_1(X28)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(X21,esk6_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(X28,esk10_1(X28)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(X21,esk6_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_p(esk9_1(X28)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(X21,esk6_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(esk8_1(X25),esk7_1(X25)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(X21,esk6_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(X25,esk8_1(X25)) )
& ( ~ big_p(a)
| big_p(X21)
| big_r(X21,esk6_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_p(esk7_1(X25)) )
& ( ~ big_p(a)
| big_p(X21)
| big_p(esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(esk10_1(X28),esk9_1(X28)) )
& ( ~ big_p(a)
| big_p(X21)
| big_p(esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_r(X28,esk10_1(X28)) )
& ( ~ big_p(a)
| big_p(X21)
| big_p(esk5_1(X21))
| ~ big_r(X28,X29)
| ~ big_p(X29)
| ~ big_p(a)
| big_p(esk9_1(X28)) )
& ( ~ big_p(a)
| big_p(X21)
| big_p(esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(esk8_1(X25),esk7_1(X25)) )
& ( ~ big_p(a)
| big_p(X21)
| big_p(esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_r(X25,esk8_1(X25)) )
& ( ~ big_p(a)
| big_p(X21)
| big_p(esk5_1(X21))
| big_p(X25)
| ~ big_p(a)
| big_p(esk7_1(X25)) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_r(esk3_0,esk4_0) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_p(esk4_0) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_p(a) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| ~ big_p(esk3_0)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| ~ big_p(esk3_0)
| big_r(esk3_0,esk4_0) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| ~ big_p(esk3_0)
| big_p(esk4_0) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| ~ big_p(esk3_0)
| big_p(a) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| big_p(a)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| big_p(a)
| big_r(esk3_0,esk4_0) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| big_p(a)
| big_p(esk4_0) )
& ( ~ big_r(X14,X13)
| ~ big_r(esk1_0,X14)
| ~ big_p(X13)
| big_p(a)
| big_p(a) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_r(esk3_0,esk4_0) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_p(esk4_0) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_p(a) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk3_0)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk3_0)
| big_r(esk3_0,esk4_0) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk3_0)
| big_p(esk4_0) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| ~ big_p(esk3_0)
| big_p(a) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| big_p(a)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| big_p(a)
| big_r(esk3_0,esk4_0) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| big_p(a)
| big_p(esk4_0) )
& ( ~ big_p(esk1_0)
| big_r(esk1_0,esk2_0)
| big_p(a)
| big_p(a) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_r(esk3_0,esk4_0) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_p(esk4_0) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_p(a) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| ~ big_p(esk3_0)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| ~ big_p(esk3_0)
| big_r(esk3_0,esk4_0) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| ~ big_p(esk3_0)
| big_p(esk4_0) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| ~ big_p(esk3_0)
| big_p(a) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| big_p(a)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| big_p(a)
| big_r(esk3_0,esk4_0) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| big_p(a)
| big_p(esk4_0) )
& ( ~ big_p(esk1_0)
| big_p(esk2_0)
| big_p(a)
| big_p(a) )
& ( big_p(a)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( big_p(a)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_r(esk3_0,esk4_0) )
& ( big_p(a)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_p(esk4_0) )
& ( big_p(a)
| ~ big_r(X17,X16)
| ~ big_r(esk3_0,X17)
| ~ big_p(X16)
| big_p(a) )
& ( big_p(a)
| ~ big_p(esk3_0)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( big_p(a)
| ~ big_p(esk3_0)
| big_r(esk3_0,esk4_0) )
& ( big_p(a)
| ~ big_p(esk3_0)
| big_p(esk4_0) )
& ( big_p(a)
| ~ big_p(esk3_0)
| big_p(a) )
& ( big_p(a)
| big_p(a)
| ~ big_r(X20,X19)
| ~ big_r(esk3_0,X20)
| ~ big_p(X19) )
& ( big_p(a)
| big_p(a)
| big_r(esk3_0,esk4_0) )
& ( big_p(a)
| big_p(a)
| big_p(esk4_0) )
& ( big_p(a)
| big_p(a)
| big_p(a) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).
cnf(c_0_9,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk9_1(X1))
| ~ big_r(X1,X2)
| ~ big_r(esk1_0,esk10_1(X1))
| epred13_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(X1,esk10_1(X1))
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
( ~ epred10_0
<=> ! [X1,X2] :
( ~ big_r(X1,X2)
| ~ big_p(X2)
| big_p(esk9_1(X1)) ) ),
introduced(definition) ).
cnf(c_0_12,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_r(X4,X3)
| ~ big_r(esk3_0,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(esk3_0,X2)
| ~ big_p(X1)
| big_r(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
( ~ epred7_0
<=> ! [X1] :
( big_r(esk8_1(X1),esk7_1(X1))
| big_p(X1) ) ),
introduced(definition) ).
cnf(c_0_14,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk9_1(esk1_0))
| ~ big_r(esk1_0,X1)
| epred13_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_15,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_p(esk9_1(X1))
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_r(X4,X3)
| ~ big_r(esk3_0,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(esk3_0,X2)
| ~ big_p(X1)
| big_p(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk1_0)
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,X1)
| big_r(esk1_0,esk2_0) ),
inference(condense,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( big_p(X1)
| big_r(esk8_1(X1),esk7_1(X1))
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
( ~ epred3_0
<=> ! [X1] :
( big_r(X1,esk8_1(X1))
| big_p(X1) ) ),
introduced(definition) ).
cnf(c_0_20,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(esk1_0,X1)
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15])]) ).
cnf(c_0_21,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk1_0)
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,X1)
| big_p(esk2_0) ),
inference(condense,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk7_1(X1))
| ~ big_r(esk3_0,esk8_1(X1))
| big_p(X1)
| big_r(esk1_0,esk2_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( big_p(X1)
| big_r(X1,esk8_1(X1))
| epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
( ~ epred1_0
<=> ! [X1] :
( big_p(esk7_1(X1))
| big_p(X1) ) ),
introduced(definition) ).
cnf(c_0_25,negated_conjecture,
( ~ big_p(esk7_1(X1))
| ~ big_r(esk1_0,esk8_1(X1))
| big_p(X1)
| epred7_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_5,c_0_18]) ).
fof(c_0_26,plain,
( ~ epred17_0
<=> ! [X2,X3] :
( ~ big_r(X2,X3)
| ~ big_p(X3)
| big_r(esk6_1(X2),esk5_1(X2)) ) ),
introduced(definition) ).
cnf(c_0_27,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk1_0)
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,X1)
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk7_1(esk3_0))
| big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( big_p(X1)
| big_p(esk7_1(X1))
| epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( ~ big_p(esk7_1(esk1_0))
| big_p(esk1_0)
| epred3_0
| epred7_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk7_1(X1))
| ~ big_r(esk3_0,esk8_1(X1))
| big_p(X1)
| big_p(esk2_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_32,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(esk6_1(X1),esk5_1(X1))
| epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
( ~ epred15_0
<=> ! [X2,X3] :
( ~ big_r(X2,X3)
| ~ big_p(X3)
| big_r(X2,esk6_1(X2)) ) ),
introduced(definition) ).
cnf(c_0_34,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk1_0)
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,esk10_1(X1))
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_6]),c_0_15]) ).
cnf(c_0_35,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| big_r(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| big_p(esk2_0)
| big_r(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| big_p(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_38,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| big_p(esk2_0)
| big_p(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,negated_conjecture,
( ~ big_p(esk1_0)
| big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| epred1_0
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( big_p(esk1_0)
| epred1_0
| epred3_0
| epred7_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_41,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk7_1(esk3_0))
| big_p(esk2_0)
| big_p(esk3_0)
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
cnf(c_0_42,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk5_1(X1))
| ~ big_r(X1,X2)
| ~ big_r(esk1_0,esk6_1(X1))
| epred13_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_5,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(X1,esk6_1(X1))
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_33]) ).
fof(c_0_44,plain,
( ~ epred12_0
<=> ! [X2,X3] :
( ~ big_r(X2,X3)
| ~ big_p(X3)
| big_p(esk5_1(X2)) ) ),
introduced(definition) ).
cnf(c_0_45,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_p(esk5_1(X2))
| big_p(X1)
| big_p(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_46,negated_conjecture,
( big_p(a)
| big_p(a)
| big_p(a) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_47,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk1_0)
| ~ big_r(esk3_0,X1)
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_10])]) ).
cnf(c_0_48,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| big_r(esk3_0,esk4_0)
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_35]),c_0_36]) ).
cnf(c_0_49,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| big_p(esk4_0)
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_37]),c_0_38]) ).
cnf(c_0_50,negated_conjecture,
( ~ big_p(esk2_0)
| big_p(esk3_0)
| epred1_0
| epred3_0
| epred7_0
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_39]),c_0_40]) ).
cnf(c_0_51,negated_conjecture,
( ~ big_p(esk1_0)
| big_p(esk3_0)
| big_p(esk2_0)
| epred1_0
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_29]) ).
cnf(c_0_52,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_p(esk5_1(X2))
| big_p(X1)
| big_r(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_53,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_p(esk5_1(X2))
| big_p(X1)
| big_r(esk8_1(X1),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_54,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_p(X4)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(esk5_1(X3))
| big_p(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_55,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_p(X4)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(esk5_1(X3))
| big_r(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_56,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_p(X4)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(esk5_1(X3))
| big_r(esk10_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_57,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(X2,esk6_1(X2))
| big_p(X1)
| big_p(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_58,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(X2,esk6_1(X2))
| big_p(X1)
| big_r(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_59,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(X2,esk6_1(X2))
| big_p(X1)
| big_r(esk8_1(X1),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_60,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_p(X4)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_r(X3,esk6_1(X3))
| big_p(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_61,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_p(X4)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_r(X3,esk6_1(X3))
| big_r(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_62,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_p(X4)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_r(X3,esk6_1(X3))
| big_r(esk10_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_63,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X1)
| big_p(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_64,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X1)
| big_r(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_65,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X1)
| big_r(esk8_1(X1),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_66,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_p(X4)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_r(esk6_1(X3),esk5_1(X3))
| big_p(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_67,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_p(X4)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_r(esk6_1(X3),esk5_1(X3))
| big_r(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_68,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X3,X4)
| ~ big_p(X4)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_r(esk6_1(X3),esk5_1(X3))
| big_r(esk10_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_69,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk5_1(esk1_0))
| ~ big_r(esk1_0,X1)
| epred13_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_70,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_p(esk5_1(X1))
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_44]) ).
cnf(c_0_71,negated_conjecture,
( ~ big_r(X2,X3)
| ~ big_p(a)
| ~ big_p(X3)
| big_p(esk7_1(X1))
| big_p(esk5_1(X2))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_45]) ).
cnf(c_0_72,negated_conjecture,
big_p(a),
inference(cn,[status(thm)],[c_0_46]) ).
cnf(c_0_73,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_74,negated_conjecture,
( big_p(esk3_0)
| epred1_0
| epred3_0
| epred7_0
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_40]) ).
cnf(c_0_75,negated_conjecture,
( ~ big_r(X2,X3)
| ~ big_p(a)
| ~ big_p(X3)
| big_r(X1,esk8_1(X1))
| big_p(esk5_1(X2))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_52]) ).
cnf(c_0_76,negated_conjecture,
( ~ big_r(X2,X3)
| ~ big_p(a)
| ~ big_p(X3)
| big_r(esk8_1(X1),esk7_1(X1))
| big_p(esk5_1(X2))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_53]) ).
cnf(c_0_77,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_r(X3,X4)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X4)
| big_p(esk9_1(X1))
| big_p(esk5_1(X3)) ),
inference(cn,[status(thm)],[c_0_54]) ).
cnf(c_0_78,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_r(X3,X4)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X4)
| big_r(X1,esk10_1(X1))
| big_p(esk5_1(X3)) ),
inference(cn,[status(thm)],[c_0_55]) ).
cnf(c_0_79,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_r(X3,X4)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X4)
| big_r(esk10_1(X1),esk9_1(X1))
| big_p(esk5_1(X3)) ),
inference(cn,[status(thm)],[c_0_56]) ).
cnf(c_0_80,negated_conjecture,
( ~ big_r(X2,X3)
| ~ big_p(a)
| ~ big_p(X3)
| big_r(X2,esk6_1(X2))
| big_p(esk7_1(X1))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_57]) ).
cnf(c_0_81,negated_conjecture,
( ~ big_r(X2,X3)
| ~ big_p(a)
| ~ big_p(X3)
| big_r(X1,esk8_1(X1))
| big_r(X2,esk6_1(X2))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_58]) ).
cnf(c_0_82,negated_conjecture,
( ~ big_r(X2,X3)
| ~ big_p(a)
| ~ big_p(X3)
| big_r(esk8_1(X1),esk7_1(X1))
| big_r(X2,esk6_1(X2))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_59]) ).
cnf(c_0_83,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_r(X3,X4)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X4)
| big_r(X3,esk6_1(X3))
| big_p(esk9_1(X1)) ),
inference(cn,[status(thm)],[c_0_60]) ).
cnf(c_0_84,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_r(X3,X4)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X4)
| big_r(X1,esk10_1(X1))
| big_r(X3,esk6_1(X3)) ),
inference(cn,[status(thm)],[c_0_61]) ).
cnf(c_0_85,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_r(X3,X4)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X4)
| big_r(esk10_1(X1),esk9_1(X1))
| big_r(X3,esk6_1(X3)) ),
inference(cn,[status(thm)],[c_0_62]) ).
cnf(c_0_86,negated_conjecture,
( ~ big_r(X2,X3)
| ~ big_p(a)
| ~ big_p(X3)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(esk7_1(X1))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_63]) ).
cnf(c_0_87,negated_conjecture,
( ~ big_r(X2,X3)
| ~ big_p(a)
| ~ big_p(X3)
| big_r(esk6_1(X2),esk5_1(X2))
| big_r(X1,esk8_1(X1))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_64]) ).
cnf(c_0_88,negated_conjecture,
( ~ big_r(X2,X3)
| ~ big_p(a)
| ~ big_p(X3)
| big_r(esk8_1(X1),esk7_1(X1))
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_65]) ).
cnf(c_0_89,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_r(X3,X4)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X4)
| big_r(esk6_1(X3),esk5_1(X3))
| big_p(esk9_1(X1)) ),
inference(cn,[status(thm)],[c_0_66]) ).
cnf(c_0_90,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_r(X3,X4)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X4)
| big_r(esk6_1(X3),esk5_1(X3))
| big_r(X1,esk10_1(X1)) ),
inference(cn,[status(thm)],[c_0_67]) ).
cnf(c_0_91,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_r(X3,X4)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X4)
| big_r(esk10_1(X1),esk9_1(X1))
| big_r(esk6_1(X3),esk5_1(X3)) ),
inference(cn,[status(thm)],[c_0_68]) ).
fof(c_0_92,plain,
( ~ epred8_0
<=> ! [X2] :
( big_r(esk6_1(X2),esk5_1(X2))
| big_p(X2) ) ),
introduced(definition) ).
cnf(c_0_93,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(esk1_0,X1)
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70])]) ).
cnf(c_0_94,negated_conjecture,
( ~ epred1_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]),c_0_24]),c_0_44]) ).
cnf(c_0_95,negated_conjecture,
( epred1_0
| epred3_0
| epred7_0
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_40]),c_0_74]) ).
cnf(c_0_96,negated_conjecture,
( ~ epred3_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_72])]),c_0_19]),c_0_44]) ).
cnf(c_0_97,negated_conjecture,
( ~ epred7_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_72])]),c_0_13]),c_0_44]) ).
cnf(c_0_98,negated_conjecture,
( ~ epred10_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_72])]),c_0_11]),c_0_44]) ).
cnf(c_0_99,negated_conjecture,
( ~ epred12_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_72])]),c_0_7]),c_0_44]) ).
cnf(c_0_100,negated_conjecture,
( ~ epred12_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_72])]),c_0_3]),c_0_44]) ).
cnf(c_0_101,negated_conjecture,
( ~ epred1_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_72])]),c_0_33]),c_0_24]) ).
cnf(c_0_102,negated_conjecture,
( ~ epred3_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_72])]),c_0_19]),c_0_33]) ).
cnf(c_0_103,negated_conjecture,
( ~ epred7_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_72])]),c_0_13]),c_0_33]) ).
cnf(c_0_104,negated_conjecture,
( ~ epred10_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_72])]),c_0_33]),c_0_11]) ).
cnf(c_0_105,negated_conjecture,
( ~ epred14_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_72])]),c_0_7]),c_0_33]) ).
cnf(c_0_106,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_72])]),c_0_3]),c_0_33]) ).
cnf(c_0_107,negated_conjecture,
( ~ epred1_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_72])]),c_0_26]),c_0_24]) ).
cnf(c_0_108,negated_conjecture,
( ~ epred3_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_72])]),c_0_26]),c_0_19]) ).
cnf(c_0_109,negated_conjecture,
( ~ epred7_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_72])]),c_0_13]),c_0_26]) ).
cnf(c_0_110,negated_conjecture,
( ~ epred10_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_72])]),c_0_26]),c_0_11]) ).
cnf(c_0_111,negated_conjecture,
( ~ epred14_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_72])]),c_0_26]),c_0_7]) ).
cnf(c_0_112,negated_conjecture,
( ~ epred16_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_72])]),c_0_3]),c_0_26]) ).
cnf(c_0_113,negated_conjecture,
( big_p(X1)
| big_r(esk6_1(X1),esk5_1(X1))
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_92]) ).
fof(c_0_114,plain,
( ~ epred6_0
<=> ! [X2] :
( big_r(X2,esk6_1(X2))
| big_p(X2) ) ),
introduced(definition) ).
cnf(c_0_115,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk1_0)
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,X1)
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_17]),c_0_21]) ).
cnf(c_0_116,negated_conjecture,
( ~ epred12_0
| epred13_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_94,c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_117,negated_conjecture,
( ~ epred15_0
| epred13_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_101,c_0_95]),c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_118,negated_conjecture,
( ~ epred17_0
| epred13_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_107,c_0_95]),c_0_108]),c_0_109]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_119,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(X2)
| big_p(esk5_1(X2))
| big_p(X1)
| big_p(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_120,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(X2)
| big_p(esk5_1(X2))
| big_p(X1)
| big_r(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_121,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(X2)
| big_p(esk5_1(X2))
| big_p(X1)
| big_r(esk8_1(X1),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_122,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(X3)
| big_p(esk5_1(X3))
| big_p(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_123,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(X3)
| big_p(esk5_1(X3))
| big_r(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_124,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(X3)
| big_p(esk5_1(X3))
| big_r(esk10_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_125,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(X2)
| big_r(X2,esk6_1(X2))
| big_p(X1)
| big_p(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_126,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(X2)
| big_r(X2,esk6_1(X2))
| big_p(X1)
| big_r(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_127,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(X2)
| big_r(X2,esk6_1(X2))
| big_p(X1)
| big_r(esk8_1(X1),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_128,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(X3)
| big_r(X3,esk6_1(X3))
| big_p(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_129,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(X3)
| big_r(X3,esk6_1(X3))
| big_r(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_130,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(X3)
| big_r(X3,esk6_1(X3))
| big_r(esk10_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_131,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(X2)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X1)
| big_p(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_132,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(X2)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X1)
| big_r(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_133,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(X2)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X1)
| big_r(esk8_1(X1),esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_134,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(X3)
| big_r(esk6_1(X3),esk5_1(X3))
| big_p(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_135,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(X3)
| big_r(esk6_1(X3),esk5_1(X3))
| big_r(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_136,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_p(X3)
| big_r(esk6_1(X3),esk5_1(X3))
| big_r(esk10_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_137,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk5_1(X1))
| ~ big_r(esk3_0,esk6_1(X1))
| big_p(X1)
| big_r(esk1_0,esk2_0)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_17,c_0_113]) ).
cnf(c_0_138,negated_conjecture,
( big_p(X1)
| big_r(X1,esk6_1(X1))
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_114]) ).
fof(c_0_139,plain,
( ~ epred2_0
<=> ! [X2] :
( big_p(esk5_1(X2))
| big_p(X2) ) ),
introduced(definition) ).
cnf(c_0_140,negated_conjecture,
( ~ big_p(esk5_1(X1))
| ~ big_r(esk1_0,esk6_1(X1))
| big_p(X1)
| epred8_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_5,c_0_113]) ).
fof(c_0_141,plain,
( ~ epred5_0
<=> ! [X1,X2] :
( ~ big_r(esk3_0,X2)
| ~ big_r(X2,X1)
| ~ big_p(X1) ) ),
introduced(definition) ).
cnf(c_0_142,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk1_0)
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,esk6_1(X1))
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_32]),c_0_70]),c_0_116]),c_0_117]),c_0_118]) ).
cnf(c_0_143,negated_conjecture,
( ~ big_p(a)
| big_p(esk7_1(X1))
| big_p(esk5_1(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_119]) ).
cnf(c_0_144,negated_conjecture,
( ~ big_p(a)
| big_r(X1,esk8_1(X1))
| big_p(esk5_1(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_120]) ).
cnf(c_0_145,negated_conjecture,
( ~ big_p(a)
| big_r(esk8_1(X1),esk7_1(X1))
| big_p(esk5_1(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_121]) ).
cnf(c_0_146,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_p(esk9_1(X1))
| big_p(esk5_1(X3))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_122]) ).
cnf(c_0_147,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(X1,esk10_1(X1))
| big_p(esk5_1(X3))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_123]) ).
cnf(c_0_148,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(esk10_1(X1),esk9_1(X1))
| big_p(esk5_1(X3))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_124]) ).
cnf(c_0_149,negated_conjecture,
( ~ big_p(a)
| big_r(X2,esk6_1(X2))
| big_p(esk7_1(X1))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_125]) ).
cnf(c_0_150,negated_conjecture,
( ~ big_p(a)
| big_r(X1,esk8_1(X1))
| big_r(X2,esk6_1(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_126]) ).
cnf(c_0_151,negated_conjecture,
( ~ big_p(a)
| big_r(esk8_1(X1),esk7_1(X1))
| big_r(X2,esk6_1(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_127]) ).
cnf(c_0_152,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(X3,esk6_1(X3))
| big_p(esk9_1(X1))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_128]) ).
cnf(c_0_153,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(X1,esk10_1(X1))
| big_r(X3,esk6_1(X3))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_129]) ).
cnf(c_0_154,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(esk10_1(X1),esk9_1(X1))
| big_r(X3,esk6_1(X3))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_130]) ).
cnf(c_0_155,negated_conjecture,
( ~ big_p(a)
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(esk7_1(X1))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_131]) ).
cnf(c_0_156,negated_conjecture,
( ~ big_p(a)
| big_r(esk6_1(X2),esk5_1(X2))
| big_r(X1,esk8_1(X1))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_132]) ).
cnf(c_0_157,negated_conjecture,
( ~ big_p(a)
| big_r(esk8_1(X1),esk7_1(X1))
| big_r(esk6_1(X2),esk5_1(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_133]) ).
cnf(c_0_158,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(esk6_1(X3),esk5_1(X3))
| big_p(esk9_1(X1))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_134]) ).
cnf(c_0_159,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(esk6_1(X3),esk5_1(X3))
| big_r(X1,esk10_1(X1))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_135]) ).
cnf(c_0_160,negated_conjecture,
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(esk10_1(X1),esk9_1(X1))
| big_r(esk6_1(X3),esk5_1(X3))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_136]) ).
cnf(c_0_161,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk5_1(esk3_0))
| big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_162,negated_conjecture,
( big_p(X1)
| big_p(esk5_1(X1))
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_139]) ).
cnf(c_0_163,negated_conjecture,
( ~ big_p(esk5_1(esk1_0))
| big_p(esk1_0)
| epred6_0
| epred8_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_138]) ).
cnf(c_0_164,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk5_1(X1))
| ~ big_r(esk3_0,esk6_1(X1))
| big_p(X1)
| big_p(esk2_0)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_113]) ).
cnf(c_0_165,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,X1)
| epred5_0 ),
inference(split_equiv,[status(thm)],[c_0_141]) ).
cnf(c_0_166,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(esk1_0,X2)
| ~ big_p(X1)
| ~ big_p(esk3_0)
| big_r(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_167,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk1_0)
| ~ big_r(esk3_0,X1)
| epred13_0 ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_43])]),c_0_117]) ).
cnf(c_0_168,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| big_r(esk3_0,esk4_0)
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_35]),c_0_36]) ).
cnf(c_0_169,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| big_p(esk4_0)
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_37]),c_0_38]) ).
cnf(c_0_170,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_72])]),c_0_24]),c_0_139]) ).
cnf(c_0_171,negated_conjecture,
( ~ epred2_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_72])]),c_0_19]),c_0_139]) ).
cnf(c_0_172,negated_conjecture,
( ~ epred2_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_72])]),c_0_13]),c_0_139]) ).
cnf(c_0_173,negated_conjecture,
( ~ epred2_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_72])]),c_0_11]),c_0_139]) ).
cnf(c_0_174,negated_conjecture,
( ~ epred2_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_72])]),c_0_7]),c_0_139]) ).
cnf(c_0_175,negated_conjecture,
( ~ epred2_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_72])]),c_0_3]),c_0_139]) ).
cnf(c_0_176,negated_conjecture,
( ~ epred1_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_72])]),c_0_114]),c_0_24]) ).
cnf(c_0_177,negated_conjecture,
( ~ epred3_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_72])]),c_0_19]),c_0_114]) ).
cnf(c_0_178,negated_conjecture,
( ~ epred6_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_72])]),c_0_13]),c_0_114]) ).
cnf(c_0_179,negated_conjecture,
( ~ epred6_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_72])]),c_0_114]),c_0_11]) ).
cnf(c_0_180,negated_conjecture,
( ~ epred6_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_72])]),c_0_7]),c_0_114]) ).
cnf(c_0_181,negated_conjecture,
( ~ epred6_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_72])]),c_0_3]),c_0_114]) ).
cnf(c_0_182,negated_conjecture,
( ~ epred1_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_72])]),c_0_92]),c_0_24]) ).
cnf(c_0_183,negated_conjecture,
( ~ epred3_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_72])]),c_0_92]),c_0_19]) ).
cnf(c_0_184,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_72])]),c_0_13]),c_0_92]) ).
cnf(c_0_185,negated_conjecture,
( ~ epred8_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_72])]),c_0_92]),c_0_11]) ).
cnf(c_0_186,negated_conjecture,
( ~ epred8_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_72])]),c_0_92]),c_0_7]) ).
cnf(c_0_187,negated_conjecture,
( ~ epred8_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_72])]),c_0_3]),c_0_92]) ).
cnf(c_0_188,negated_conjecture,
( ~ big_p(esk1_0)
| big_p(esk3_0)
| big_r(esk1_0,esk2_0)
| epred2_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_189,negated_conjecture,
( big_p(esk1_0)
| epred2_0
| epred6_0
| epred8_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_163,c_0_162]) ).
cnf(c_0_190,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk5_1(esk3_0))
| big_p(esk2_0)
| big_p(esk3_0)
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_164,c_0_138]) ).
cnf(c_0_191,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(esk1_0,X2)
| ~ big_p(X1)
| ~ big_p(esk3_0)
| big_p(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_192,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk9_1(X1))
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,esk10_1(X1))
| epred5_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_6]) ).
cnf(c_0_193,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk5_1(X1))
| ~ big_r(esk1_0,esk6_1(X1))
| big_p(X1)
| big_r(esk3_0,esk4_0)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_113]) ).
cnf(c_0_194,negated_conjecture,
( ~ big_p(esk5_1(X1))
| ~ big_r(esk3_0,esk6_1(X1))
| big_p(X1)
| epred5_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_113]) ).
cnf(c_0_195,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk3_0)
| ~ big_p(esk9_1(X1))
| ~ big_r(X1,X2)
| ~ big_r(esk1_0,esk10_1(X1))
| big_r(esk3_0,esk4_0)
| epred16_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_6]) ).
cnf(c_0_196,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),c_0_116]),c_0_117]),c_0_118]) ).
cnf(c_0_197,negated_conjecture,
( ~ epred2_0
| epred13_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_170,c_0_95]),c_0_171]),c_0_172]),c_0_173]),c_0_174]),c_0_175]) ).
cnf(c_0_198,negated_conjecture,
( ~ epred6_0
| epred13_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_176,c_0_95]),c_0_177]),c_0_178]),c_0_179]),c_0_180]),c_0_181]) ).
cnf(c_0_199,negated_conjecture,
( ~ epred8_0
| epred13_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_182,c_0_95]),c_0_183]),c_0_184]),c_0_185]),c_0_186]),c_0_187]) ).
cnf(c_0_200,negated_conjecture,
( ~ big_p(esk2_0)
| big_p(esk3_0)
| epred2_0
| epred6_0
| epred8_0
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_188]),c_0_189]) ).
cnf(c_0_201,negated_conjecture,
( ~ big_p(esk1_0)
| big_p(esk3_0)
| big_p(esk2_0)
| epred2_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_162]) ).
cnf(c_0_202,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk3_0)
| ~ big_p(esk9_1(X1))
| ~ big_r(X1,X2)
| ~ big_r(esk1_0,esk10_1(X1))
| big_p(esk4_0)
| epred16_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_6]) ).
cnf(c_0_203,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk9_1(esk3_0))
| ~ big_r(esk3_0,X1)
| epred5_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_10])]) ).
cnf(c_0_204,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk5_1(esk1_0))
| big_p(esk1_0)
| big_r(esk3_0,esk4_0)
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_138]) ).
cnf(c_0_205,negated_conjecture,
( ~ big_p(esk5_1(esk3_0))
| big_p(esk3_0)
| epred5_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_138]) ).
cnf(c_0_206,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk5_1(X1))
| ~ big_r(esk1_0,esk6_1(X1))
| big_p(X1)
| big_p(esk4_0)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_113]) ).
cnf(c_0_207,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk7_1(X1))
| ~ big_r(esk1_0,esk8_1(X1))
| big_p(X1)
| big_r(esk3_0,esk4_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_18]) ).
cnf(c_0_208,negated_conjecture,
( ~ big_p(esk7_1(X1))
| ~ big_r(esk3_0,esk8_1(X1))
| big_p(X1)
| epred5_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_18]) ).
cnf(c_0_209,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk3_0)
| ~ big_p(esk9_1(esk1_0))
| ~ big_r(esk1_0,X1)
| big_r(esk3_0,esk4_0)
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_10])]) ).
cnf(c_0_210,negated_conjecture,
( ~ big_r(X6,X5)
| ~ big_r(esk1_0,X6)
| ~ big_p(X5)
| ~ big_r(X4,X3)
| ~ big_r(esk3_0,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(esk3_0,X2)
| ~ big_p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_211,negated_conjecture,
( ~ big_p(esk3_0)
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_189]),c_0_197]),c_0_198]),c_0_199]) ).
cnf(c_0_212,negated_conjecture,
( big_p(esk3_0)
| epred2_0
| epred6_0
| epred8_0
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_189]) ).
cnf(c_0_213,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk3_0)
| ~ big_p(esk9_1(esk1_0))
| ~ big_r(esk1_0,X1)
| big_p(esk4_0)
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_10])]) ).
cnf(c_0_214,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(esk3_0,X1)
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_15])]) ).
cnf(c_0_215,negated_conjecture,
( ~ big_p(esk3_0)
| big_p(esk1_0)
| big_r(esk3_0,esk4_0)
| epred2_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_162]) ).
cnf(c_0_216,negated_conjecture,
( big_p(esk3_0)
| epred2_0
| epred5_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_162]) ).
cnf(c_0_217,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk5_1(esk1_0))
| big_p(esk4_0)
| big_p(esk1_0)
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_138]) ).
cnf(c_0_218,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk7_1(esk1_0))
| big_p(esk1_0)
| big_r(esk3_0,esk4_0)
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_23]) ).
cnf(c_0_219,negated_conjecture,
( ~ big_p(esk7_1(esk3_0))
| big_p(esk3_0)
| epred3_0
| epred5_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_23]) ).
cnf(c_0_220,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk7_1(X1))
| ~ big_r(esk1_0,esk8_1(X1))
| big_p(X1)
| big_p(esk4_0)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_18]) ).
cnf(c_0_221,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk3_0)
| ~ big_r(esk1_0,X1)
| big_r(esk3_0,esk4_0)
| epred10_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_15])]) ).
cnf(c_0_222,negated_conjecture,
( ~ epred5_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(condense,[status(thm)],[c_0_210]),c_0_2]),c_0_141]) ).
cnf(c_0_223,negated_conjecture,
epred13_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(spm,[status(thm)],[c_0_211,c_0_212]),c_0_197]),c_0_198]),c_0_199]),c_0_116]),c_0_117]),c_0_118]) ).
cnf(c_0_224,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk3_0)
| ~ big_r(esk1_0,X1)
| big_p(esk4_0)
| epred10_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_15])]) ).
cnf(c_0_225,negated_conjecture,
( ~ big_p(esk4_0)
| big_p(esk1_0)
| epred2_0
| epred5_0
| epred6_0
| epred8_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).
cnf(c_0_226,negated_conjecture,
( ~ big_p(esk3_0)
| big_p(esk1_0)
| big_p(esk4_0)
| epred2_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_217,c_0_162]) ).
cnf(c_0_227,negated_conjecture,
( ~ big_p(esk3_0)
| big_p(esk1_0)
| big_r(esk3_0,esk4_0)
| epred1_0
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_218,c_0_29]) ).
cnf(c_0_228,negated_conjecture,
( big_p(esk3_0)
| epred1_0
| epred3_0
| epred5_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_219,c_0_29]) ).
cnf(c_0_229,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk7_1(esk1_0))
| big_p(esk4_0)
| big_p(esk1_0)
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_220,c_0_23]) ).
cnf(c_0_230,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| big_r(esk3_0,esk4_0)
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_35]),c_0_36]) ).
cnf(c_0_231,negated_conjecture,
~ epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223])]) ).
cnf(c_0_232,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| big_p(esk4_0)
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_37]),c_0_38]) ).
cnf(c_0_233,negated_conjecture,
( big_p(esk1_0)
| epred2_0
| epred5_0
| epred6_0
| epred8_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_216]) ).
cnf(c_0_234,negated_conjecture,
( ~ big_p(esk4_0)
| big_p(esk1_0)
| epred1_0
| epred3_0
| epred5_0
| epred7_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_227]),c_0_228]) ).
cnf(c_0_235,negated_conjecture,
( ~ big_p(esk3_0)
| big_p(esk1_0)
| big_p(esk4_0)
| epred1_0
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_229,c_0_29]) ).
cnf(c_0_236,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_237,negated_conjecture,
( big_p(esk1_0)
| epred2_0
| epred6_0
| epred8_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(sr,[status(thm)],[c_0_233,c_0_231]) ).
cnf(c_0_238,negated_conjecture,
( big_p(esk3_0)
| epred2_0
| epred6_0
| epred8_0 ),
inference(sr,[status(thm)],[c_0_216,c_0_231]) ).
cnf(c_0_239,negated_conjecture,
( big_p(esk1_0)
| epred1_0
| epred3_0
| epred5_0
| epred7_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_228]) ).
cnf(c_0_240,negated_conjecture,
( epred2_0
| epred6_0
| epred8_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]) ).
cnf(c_0_241,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk5_1(X1))
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,esk6_1(X1))
| epred5_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_32]) ).
cnf(c_0_242,negated_conjecture,
( big_p(esk1_0)
| epred1_0
| epred3_0
| epred7_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(sr,[status(thm)],[c_0_239,c_0_231]) ).
cnf(c_0_243,negated_conjecture,
( big_p(esk3_0)
| epred1_0
| epred3_0
| epred7_0 ),
inference(sr,[status(thm)],[c_0_228,c_0_231]) ).
cnf(c_0_244,negated_conjecture,
( ~ epred3_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_240]),c_0_177]),c_0_183]) ).
cnf(c_0_245,negated_conjecture,
( ~ epred7_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_240]),c_0_178]),c_0_184]) ).
cnf(c_0_246,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk5_1(esk3_0))
| ~ big_r(esk3_0,X1)
| epred5_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_43])]) ).
cnf(c_0_247,negated_conjecture,
( epred1_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_242]),c_0_243]),c_0_244]),c_0_245]) ).
cnf(c_0_248,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(esk3_0,X1)
| epred5_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_70])]) ).
cnf(c_0_249,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk1_0)
| ~ big_p(esk5_1(X1))
| ~ big_r(X1,X2)
| ~ big_r(esk3_0,esk6_1(X1))
| big_p(esk2_0)
| epred17_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_32]) ).
cnf(c_0_250,negated_conjecture,
~ epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_247]),c_0_173]),c_0_174]),c_0_175]) ).
cnf(c_0_251,negated_conjecture,
( ~ big_p(esk4_0)
| big_p(esk1_0)
| epred2_0
| epred5_0
| epred6_0
| epred8_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_215]),c_0_216]) ).
cnf(c_0_252,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk1_0)
| ~ big_p(esk5_1(esk3_0))
| ~ big_r(esk3_0,X1)
| big_p(esk2_0)
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_43])]) ).
cnf(c_0_253,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk3_0)
| ~ big_p(esk5_1(X1))
| ~ big_r(X1,X2)
| ~ big_r(esk1_0,esk6_1(X1))
| big_p(esk4_0)
| epred17_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_32]) ).
cnf(c_0_254,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(esk3_0)
| ~ big_p(esk5_1(X1))
| ~ big_r(X1,X2)
| ~ big_r(esk1_0,esk6_1(X1))
| big_r(esk3_0,esk4_0)
| epred17_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_32]) ).
cnf(c_0_255,negated_conjecture,
( big_p(esk3_0)
| epred6_0
| epred8_0 ),
inference(sr,[status(thm)],[c_0_238,c_0_250]) ).
cnf(c_0_256,negated_conjecture,
~ epred6_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_247]),c_0_179]),c_0_180]),c_0_181]) ).
cnf(c_0_257,negated_conjecture,
~ epred8_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_247]),c_0_185]),c_0_186]),c_0_187]) ).
cnf(c_0_258,negated_conjecture,
( big_p(esk1_0)
| epred2_0
| epred5_0
| epred6_0
| epred8_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_226]),c_0_216]) ).
cnf(c_0_259,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk1_0)
| ~ big_r(esk3_0,X1)
| big_p(esk2_0)
| epred12_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_70])]) ).
cnf(c_0_260,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk3_0)
| ~ big_p(esk5_1(esk1_0))
| ~ big_r(esk1_0,X1)
| big_p(esk4_0)
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_43])]) ).
cnf(c_0_261,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk3_0)
| ~ big_p(esk5_1(esk1_0))
| ~ big_r(esk1_0,X1)
| big_r(esk3_0,esk4_0)
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_43])]) ).
cnf(c_0_262,negated_conjecture,
big_p(esk3_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).
cnf(c_0_263,negated_conjecture,
~ epred17_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_247]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_264,negated_conjecture,
~ epred15_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_247]),c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_265,negated_conjecture,
( big_p(esk1_0)
| epred2_0
| epred6_0
| epred8_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(sr,[status(thm)],[c_0_258,c_0_231]) ).
cnf(c_0_266,negated_conjecture,
~ epred12_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_247]),c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_267,negated_conjecture,
( ~ big_p(esk3_0)
| ~ big_p(esk1_0)
| big_p(esk2_0)
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_36]),c_0_38]) ).
cnf(c_0_268,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk3_0)
| ~ big_r(esk1_0,X1)
| big_p(esk4_0)
| epred12_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_70])]) ).
cnf(c_0_269,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(esk5_1(esk1_0))
| ~ big_r(esk1_0,X1)
| big_r(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_262])]),c_0_263]),c_0_264]) ).
cnf(c_0_270,negated_conjecture,
big_p(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)],[c_0_265,c_0_250]),c_0_263]),c_0_264]),c_0_266]),c_0_257]),c_0_256]) ).
cnf(c_0_271,negated_conjecture,
( ~ big_p(esk1_0)
| big_p(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_262])]),c_0_263]),c_0_264]),c_0_266]) ).
cnf(c_0_272,negated_conjecture,
( big_p(X1)
| big_p(esk5_1(X1)) ),
inference(sr,[status(thm)],[c_0_162,c_0_250]) ).
cnf(c_0_273,negated_conjecture,
( ~ big_p(esk1_0)
| ~ big_p(esk3_0)
| big_p(esk4_0)
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_37]),c_0_38]) ).
cnf(c_0_274,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(esk1_0,X1)
| big_r(esk3_0,esk4_0) ),
inference(condense,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_70]),c_0_266])]) ).
cnf(c_0_275,negated_conjecture,
( big_r(esk1_0,esk2_0)
| big_r(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_262])]),c_0_270])]) ).
cnf(c_0_276,negated_conjecture,
big_p(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_270])]) ).
cnf(c_0_277,negated_conjecture,
( big_p(esk1_0)
| big_p(esk4_0)
| epred6_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_272]),c_0_255]) ).
cnf(c_0_278,negated_conjecture,
( ~ big_p(esk1_0)
| big_p(esk4_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_262])]),c_0_263]),c_0_264]),c_0_266]) ).
cnf(c_0_279,negated_conjecture,
big_r(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276])]) ).
cnf(c_0_280,negated_conjecture,
big_p(esk4_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_277,c_0_256]),c_0_257]),c_0_278]) ).
cnf(c_0_281,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_279]),c_0_280])]),c_0_263]),c_0_264]),c_0_266]),c_0_231]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN067+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.58 % Computer : n006.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 10:41:45 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/1.02 % Version: 3.5.1
% 0.15/1.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/1.02 % Starting new_bool_3 with 300s (1) cores
% 0.15/1.02 % Starting new_bool_1 with 300s (1) cores
% 0.15/1.02 % Starting sh5l with 300s (1) cores
% 0.15/1.02 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2652004 completed with status 0
% 0.15/1.02 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/1.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/1.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/1.02 % No SInE strategy applied
% 0.15/1.02 % Search class: FGHNF-FSMS11-SFFFFFNN
% 0.15/1.02 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/1.02 % Starting SubtermCWHack with 136s (1) cores
% 0.15/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/1.02 % Starting G-E--_207_C18_F1_AE_Q7_CS_SP_CO_PS_S00 with 136s (1) cores
% 0.15/1.02 % Starting new_bool_3 with 136s (1) cores
% 0.15/1.02 % Starting new_bool_1 with 136s (1) cores
% 0.15/1.02 % G-E--_207_C18_F1_AE_Q7_CS_SP_CO_PS_S00 with pid 2652010 completed with status 0
% 0.15/1.02 % Result found by G-E--_207_C18_F1_AE_Q7_CS_SP_CO_PS_S00
% 0.15/1.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/1.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/1.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/1.02 % No SInE strategy applied
% 0.15/1.02 % Search class: FGHNF-FSMS11-SFFFFFNN
% 0.15/1.02 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/1.02 % Starting SubtermCWHack with 136s (1) cores
% 0.15/1.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/1.02 % Starting G-E--_207_C18_F1_AE_Q7_CS_SP_CO_PS_S00 with 136s (1) cores
% 0.15/1.02 % Preprocessing time : 0.002 s
% 0.15/1.02 % Presaturation interreduction done
% 0.15/1.02
% 0.15/1.02 % Proof found!
% 0.15/1.02 % SZS status Theorem
% 0.15/1.02 % SZS output start CNFRefutation
% See solution above
% 0.15/1.02 % Parsed axioms : 1
% 0.15/1.02 % Removed by relevancy pruning/SinE : 0
% 0.15/1.02 % Initial clauses : 84
% 0.15/1.02 % Removed in clause preprocessing : 0
% 0.15/1.02 % Initial clauses in saturation : 84
% 0.15/1.02 % Processed clauses : 2209
% 0.15/1.02 % ...of these trivial : 92
% 0.15/1.02 % ...subsumed : 905
% 0.15/1.02 % ...remaining for further processing : 1212
% 0.15/1.02 % Other redundant clauses eliminated : 0
% 0.15/1.02 % Clauses deleted for lack of memory : 0
% 0.15/1.02 % Backward-subsumed : 360
% 0.15/1.02 % Backward-rewritten : 395
% 0.15/1.02 % Generated clauses : 3768
% 0.15/1.02 % ...of the previous two non-redundant : 3258
% 0.15/1.02 % ...aggressively subsumed : 0
% 0.15/1.02 % Contextual simplify-reflections : 305
% 0.15/1.02 % Paramodulations : 3692
% 0.15/1.02 % Factorizations : 0
% 0.15/1.02 % NegExts : 0
% 0.15/1.02 % Equation resolutions : 0
% 0.15/1.02 % Disequality decompositions : 0
% 0.15/1.02 % Total rewrite steps : 583
% 0.15/1.02 % ...of those cached : 575
% 0.15/1.02 % Propositional unsat checks : 0
% 0.15/1.02 % Propositional check models : 0
% 0.15/1.02 % Propositional check unsatisfiable : 0
% 0.15/1.02 % Propositional clauses : 0
% 0.15/1.02 % Propositional clauses after purity: 0
% 0.15/1.02 % Propositional unsat core size : 0
% 0.15/1.02 % Propositional preprocessing time : 0.000
% 0.15/1.02 % Propositional encoding time : 0.000
% 0.15/1.02 % Propositional solver time : 0.000
% 0.15/1.02 % Success case prop preproc time : 0.000
% 0.15/1.02 % Success case prop encoding time : 0.000
% 0.15/1.02 % Success case prop solver time : 0.000
% 0.15/1.02 % Current number of processed clauses : 332
% 0.15/1.02 % Positive orientable unit clauses : 8
% 0.15/1.02 % Positive unorientable unit clauses: 0
% 0.15/1.02 % Negative unit clauses : 8
% 0.15/1.02 % Non-unit-clauses : 316
% 0.15/1.02 % Current number of unprocessed clauses: 820
% 0.15/1.03 % ...number of literals in the above : 7835
% 0.15/1.03 % Current number of archived formulas : 0
% 0.15/1.03 % Current number of archived clauses : 840
% 0.15/1.03 % Clause-clause subsumption calls (NU) : 397565
% 0.15/1.03 % Rec. Clause-clause subsumption calls : 7943
% 0.15/1.03 % Non-unit clause-clause subsumptions : 1715
% 0.15/1.03 % Unit Clause-clause subsumption calls : 4679
% 0.15/1.03 % Rewrite failures with RHS unbound : 0
% 0.15/1.03 % BW rewrite match attempts : 6
% 0.15/1.03 % BW rewrite match successes : 6
% 0.15/1.03 % Condensation attempts : 2209
% 0.15/1.03 % Condensation successes : 66
% 0.15/1.03 % Termbank termtop insertions : 175986
% 0.15/1.03 % Search garbage collected termcells : 625
% 0.15/1.03
% 0.15/1.03 % -------------------------------------------------
% 0.15/1.03 % User time : 0.372 s
% 0.15/1.03 % System time : 0.007 s
% 0.15/1.03 % Total time : 0.378 s
% 0.15/1.03 % Maximum resident set size: 3636 pages
% 0.15/1.03
% 0.15/1.03 % -------------------------------------------------
% 0.15/1.03 % User time : 1.837 s
% 0.15/1.03 % System time : 0.063 s
% 0.15/1.03 % Total time : 1.900 s
% 0.15/1.03 % Maximum resident set size: 4608 pages
% 0.15/1.03 % E exiting
%------------------------------------------------------------------------------