TSTP Solution File: LCL652+1.001 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:56:46 EDT 2023
% Result : Theorem 0.87s 0.94s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 32
% Syntax : Number of formulae : 156 ( 20 unt; 30 typ; 0 def)
% Number of atoms : 784 ( 0 equ)
% Maximal formula atoms : 182 ( 6 avg)
% Number of connectives : 1211 ( 553 ~; 585 |; 71 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 25 >; 19 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-3 aty)
% Number of variables : 252 ( 0 sgn; 153 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p4: $i > $o ).
tff(decl_24,type,
p1: $i > $o ).
tff(decl_25,type,
p3: $i > $o ).
tff(decl_26,type,
p2: $i > $o ).
tff(decl_27,type,
epred1_1: $i > $o ).
tff(decl_28,type,
esk1_0: $i ).
tff(decl_29,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
esk3_1: $i > $i ).
tff(decl_31,type,
esk4_1: $i > $i ).
tff(decl_32,type,
esk5_0: $i ).
tff(decl_33,type,
esk6_0: $i ).
tff(decl_34,type,
esk7_0: $i ).
tff(decl_35,type,
esk8_0: $i ).
tff(decl_36,type,
esk9_1: $i > $i ).
tff(decl_37,type,
esk10_1: $i > $i ).
tff(decl_38,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk17_1: $i > $i ).
tff(decl_45,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk22_1: $i > $i ).
tff(decl_50,type,
esk23_1: $i > $i ).
tff(decl_51,type,
esk24_1: $i > $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) ) ) ) )
| ( ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(c_0_1,plain,
! [X2] :
( epred1_1(X2)
<=> ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) ) ) ) )
| ( ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_1]) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(X2)
=> ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) ) ) ) )
| ( ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_4,negated_conjecture,
! [X4,X5,X6,X7,X10,X11,X12,X13,X14,X18,X21,X23,X24,X25] :
( ( ~ r1(esk1_0,X4)
| ~ p4(X4) )
& ( r1(X5,esk3_1(X5))
| r1(X7,esk2_3(X5,X6,X7))
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) )
& ( ~ r1(esk3_1(X5),X10)
| ~ p1(X10)
| r1(X7,esk2_3(X5,X6,X7))
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) )
& ( r1(X5,esk3_1(X5))
| p1(esk2_3(X5,X6,X7))
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) )
& ( ~ r1(esk3_1(X5),X10)
| ~ p1(X10)
| p1(esk2_3(X5,X6,X7))
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) )
& ( ~ r1(esk1_0,X11)
| epred1_1(X11) )
& ( r1(X12,esk4_1(X12))
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| p1(X14)
| ~ r1(esk1_0,X12) )
& ( ~ p1(esk4_1(X12))
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| p1(X14)
| ~ r1(esk1_0,X12) )
& r1(esk1_0,esk5_0)
& r1(esk5_0,esk6_0)
& ( ~ r1(esk6_0,X18)
| p1(X18) )
& r1(esk5_0,esk7_0)
& ~ p1(esk7_0)
& r1(esk1_0,esk8_0)
& ( r1(X21,esk9_1(X21))
| ~ r1(esk8_0,X21) )
& ( ~ p2(esk9_1(X21))
| ~ r1(esk8_0,X21) )
& ( r1(X23,esk10_1(X23))
| ~ r1(esk1_0,X23)
| ~ r1(X23,X24)
| ~ r1(X24,X25)
| ~ p1(X25) )
& ( p1(esk10_1(X23))
| ~ r1(esk1_0,X23)
| ~ r1(X23,X24)
| ~ r1(X24,X25)
| ~ p1(X25) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
fof(c_0_5,plain,
! [X27,X28,X31,X32,X34,X36,X37,X38,X42,X43,X45,X47,X53] :
( ( r1(X28,esk11_2(X27,X28))
| ~ r1(X27,X28)
| ~ epred1_1(X27) )
& ( r1(esk11_2(X27,X28),esk12_2(X27,X28))
| ~ r1(X27,X28)
| ~ epred1_1(X27) )
& ( ~ p3(esk12_2(X27,X28))
| ~ r1(X27,X28)
| ~ epred1_1(X27) )
& ( p2(esk11_2(X27,X28))
| ~ r1(X27,X28)
| ~ epred1_1(X27) )
& ( r1(X34,esk14_3(X27,X31,X34))
| ~ r1(X31,X34)
| r1(X32,esk13_3(X27,X31,X32))
| ~ r1(X31,X32)
| ~ p2(X31)
| ~ r1(X27,X31)
| ~ epred1_1(X27) )
& ( ~ r1(esk14_3(X27,X31,X34),X36)
| ~ p2(X36)
| ~ r1(X31,X34)
| r1(X32,esk13_3(X27,X31,X32))
| ~ r1(X31,X32)
| ~ p2(X31)
| ~ r1(X27,X31)
| ~ epred1_1(X27) )
& ( r1(X34,esk14_3(X27,X31,X34))
| ~ r1(X31,X34)
| ~ p3(esk13_3(X27,X31,X32))
| ~ r1(X31,X32)
| ~ p2(X31)
| ~ r1(X27,X31)
| ~ epred1_1(X27) )
& ( ~ r1(esk14_3(X27,X31,X34),X36)
| ~ p2(X36)
| ~ r1(X31,X34)
| ~ p3(esk13_3(X27,X31,X32))
| ~ r1(X31,X32)
| ~ p2(X31)
| ~ r1(X27,X31)
| ~ epred1_1(X27) )
& ( r1(X34,esk14_3(X27,X31,X34))
| ~ r1(X31,X34)
| p2(X32)
| ~ r1(X31,X32)
| ~ p2(X31)
| ~ r1(X27,X31)
| ~ epred1_1(X27) )
& ( ~ r1(esk14_3(X27,X31,X34),X36)
| ~ p2(X36)
| ~ r1(X31,X34)
| p2(X32)
| ~ r1(X31,X32)
| ~ p2(X31)
| ~ r1(X27,X31)
| ~ epred1_1(X27) )
& ( r1(X27,esk17_1(X27))
| r1(X38,esk15_3(X27,X37,X38))
| ~ r1(X37,X38)
| ~ r1(X27,X37)
| ~ epred1_1(X27) )
& ( ~ r1(esk17_1(X27),X42)
| ~ p2(X42)
| r1(X38,esk15_3(X27,X37,X38))
| ~ r1(X37,X38)
| ~ r1(X27,X37)
| ~ epred1_1(X27) )
& ( r1(X27,esk17_1(X27))
| r1(esk15_3(X27,X37,X38),esk16_3(X27,X37,X38))
| ~ r1(X37,X38)
| ~ r1(X27,X37)
| ~ epred1_1(X27) )
& ( ~ r1(esk17_1(X27),X42)
| ~ p2(X42)
| r1(esk15_3(X27,X37,X38),esk16_3(X27,X37,X38))
| ~ r1(X37,X38)
| ~ r1(X27,X37)
| ~ epred1_1(X27) )
& ( r1(X27,esk17_1(X27))
| ~ p3(esk16_3(X27,X37,X38))
| ~ r1(X37,X38)
| ~ r1(X27,X37)
| ~ epred1_1(X27) )
& ( ~ r1(esk17_1(X27),X42)
| ~ p2(X42)
| ~ p3(esk16_3(X27,X37,X38))
| ~ r1(X37,X38)
| ~ r1(X27,X37)
| ~ epred1_1(X27) )
& ( r1(X27,esk17_1(X27))
| p2(esk15_3(X27,X37,X38))
| ~ r1(X37,X38)
| ~ r1(X27,X37)
| ~ epred1_1(X27) )
& ( ~ r1(esk17_1(X27),X42)
| ~ p2(X42)
| p2(esk15_3(X27,X37,X38))
| ~ r1(X37,X38)
| ~ r1(X27,X37)
| ~ epred1_1(X27) )
& ( r1(X43,esk19_2(X27,X43))
| r1(X43,esk18_2(X27,X43))
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( r1(X47,esk20_3(X27,X43,X47))
| ~ r1(esk19_2(X27,X43),X47)
| r1(X43,esk18_2(X27,X43))
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( r1(esk20_3(X27,X43,X47),esk21_3(X27,X43,X47))
| ~ r1(esk19_2(X27,X43),X47)
| r1(X43,esk18_2(X27,X43))
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( ~ p3(esk21_3(X27,X43,X47))
| ~ r1(esk19_2(X27,X43),X47)
| r1(X43,esk18_2(X27,X43))
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( p2(esk20_3(X27,X43,X47))
| ~ r1(esk19_2(X27,X43),X47)
| r1(X43,esk18_2(X27,X43))
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( r1(X43,esk19_2(X27,X43))
| ~ r1(esk18_2(X27,X43),X45)
| ~ p2(X45)
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( r1(X47,esk20_3(X27,X43,X47))
| ~ r1(esk19_2(X27,X43),X47)
| ~ r1(esk18_2(X27,X43),X45)
| ~ p2(X45)
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( r1(esk20_3(X27,X43,X47),esk21_3(X27,X43,X47))
| ~ r1(esk19_2(X27,X43),X47)
| ~ r1(esk18_2(X27,X43),X45)
| ~ p2(X45)
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( ~ p3(esk21_3(X27,X43,X47))
| ~ r1(esk19_2(X27,X43),X47)
| ~ r1(esk18_2(X27,X43),X45)
| ~ p2(X45)
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( p2(esk20_3(X27,X43,X47))
| ~ r1(esk19_2(X27,X43),X47)
| ~ r1(esk18_2(X27,X43),X45)
| ~ p2(X45)
| ~ r1(X27,X43)
| ~ epred1_1(X27) )
& ( r1(X27,esk24_1(X27))
| r1(X27,esk22_1(X27))
| ~ epred1_1(X27) )
& ( ~ r1(esk24_1(X27),X53)
| ~ p2(X53)
| r1(X27,esk22_1(X27))
| ~ epred1_1(X27) )
& ( r1(X27,esk24_1(X27))
| r1(esk22_1(X27),esk23_1(X27))
| ~ epred1_1(X27) )
& ( ~ r1(esk24_1(X27),X53)
| ~ p2(X53)
| r1(esk22_1(X27),esk23_1(X27))
| ~ epred1_1(X27) )
& ( r1(X27,esk24_1(X27))
| ~ p3(esk23_1(X27))
| ~ epred1_1(X27) )
& ( ~ r1(esk24_1(X27),X53)
| ~ p2(X53)
| ~ p3(esk23_1(X27))
| ~ epred1_1(X27) )
& ( r1(X27,esk24_1(X27))
| p2(esk22_1(X27))
| ~ epred1_1(X27) )
& ( ~ r1(esk24_1(X27),X53)
| ~ p2(X53)
| p2(esk22_1(X27))
| ~ epred1_1(X27) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
r1(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( r1(X1,esk24_1(X1))
| r1(X1,esk22_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
epred1_1(esk8_0),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( r1(X1,esk11_2(X2,X1))
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( p2(esk11_2(X1,X2))
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( r1(X1,esk22_1(X1))
| ~ r1(esk24_1(X1),X2)
| ~ p2(X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( r1(esk24_1(esk8_0),esk11_2(esk8_0,esk24_1(esk8_0)))
| r1(esk8_0,esk22_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9])]) ).
cnf(c_0_15,plain,
( p2(esk11_2(esk8_0,esk24_1(esk8_0)))
| r1(esk8_0,esk22_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_11]),c_0_9])]) ).
cnf(c_0_16,negated_conjecture,
( r1(X1,esk9_1(X1))
| ~ r1(esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
r1(esk8_0,esk22_1(esk8_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_9])]),c_0_15]) ).
cnf(c_0_18,plain,
( r1(X1,esk14_3(X2,X3,X1))
| p2(X4)
| ~ r1(X3,X1)
| ~ r1(X3,X4)
| ~ p2(X3)
| ~ r1(X2,X3)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
r1(esk22_1(esk8_0),esk9_1(esk22_1(esk8_0))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( r1(X1,esk24_1(X1))
| p2(esk22_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(X1,esk14_3(X2,esk22_1(esk8_0),X1))
| ~ epred1_1(X2)
| ~ p2(esk22_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1)
| ~ r1(X2,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( p2(esk22_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_23,plain,
( r1(X1,esk19_2(X2,X1))
| r1(X1,esk18_2(X2,X1))
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(X1,esk14_3(X2,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ epred1_1(X2)
| ~ r1(esk22_1(esk8_0),X1)
| ~ r1(X2,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_17]),c_0_9])]) ).
cnf(c_0_26,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( ~ p2(esk9_1(X1))
| ~ r1(esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_28,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_9])]) ).
cnf(c_0_29,plain,
( r1(X1,esk20_3(X2,X3,X1))
| r1(X3,esk18_2(X2,X3))
| ~ r1(esk19_2(X2,X3),X1)
| ~ r1(X2,X3)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_30,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17])]) ).
cnf(c_0_31,plain,
( p2(esk20_3(X1,X2,X3))
| r1(X2,esk18_2(X1,X2))
| ~ r1(esk19_2(X1,X2),X3)
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_32,plain,
( p2(X5)
| ~ r1(esk14_3(X1,X2,X3),X4)
| ~ p2(X4)
| ~ r1(X2,X3)
| ~ r1(X2,X5)
| ~ p2(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_33,plain,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_9]),c_0_17])]) ).
cnf(c_0_34,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_9]),c_0_17])]) ).
cnf(c_0_35,plain,
( p2(X1)
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_9]),c_0_17])]),c_0_25]),c_0_22]),c_0_34]) ).
cnf(c_0_36,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_19]) ).
cnf(c_0_37,plain,
( r1(X1,esk17_1(X1))
| r1(X2,esk15_3(X1,X3,X2))
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,negated_conjecture,
( r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_36]),c_0_17])]) ).
cnf(c_0_39,plain,
( r1(X1,esk17_1(X1))
| p2(esk15_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_40,plain,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0))
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
( p2(esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0))
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
cnf(c_0_42,plain,
( r1(X1,esk19_2(X2,X1))
| ~ r1(esk18_2(X2,X1),X3)
| ~ p2(X3)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_43,plain,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_17]),c_0_9])]) ).
cnf(c_0_44,plain,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_17]),c_0_9])]) ).
cnf(c_0_45,plain,
( r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_9]),c_0_17])]),c_0_44]) ).
cnf(c_0_46,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_45]) ).
cnf(c_0_47,plain,
( r1(X1,esk20_3(X2,X3,X1))
| ~ r1(esk19_2(X2,X3),X1)
| ~ r1(esk18_2(X2,X3),X4)
| ~ p2(X4)
| ~ r1(X2,X3)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_48,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_17]),c_0_9])]) ).
cnf(c_0_49,plain,
( p2(esk20_3(X1,X2,X3))
| ~ r1(esk19_2(X1,X2),X3)
| ~ r1(esk18_2(X1,X2),X4)
| ~ p2(X4)
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_50,plain,
( r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_43]),c_0_9]),c_0_17])]),c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_48]),c_0_17])]) ).
cnf(c_0_52,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_9]),c_0_17])]),c_0_44]) ).
cnf(c_0_53,negated_conjecture,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_55,plain,
( p2(X1)
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_53]),c_0_9]),c_0_17])]),c_0_45]),c_0_22]),c_0_54]) ).
cnf(c_0_56,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_19]) ).
cnf(c_0_57,negated_conjecture,
( r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_56]),c_0_17])]) ).
cnf(c_0_58,plain,
( r1(X3,esk15_3(X1,X4,X3))
| ~ r1(esk17_1(X1),X2)
| ~ p2(X2)
| ~ r1(X4,X3)
| ~ r1(X1,X4)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_59,plain,
( r1(esk17_1(esk8_0),esk11_2(esk8_0,esk17_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_57]),c_0_9])]) ).
cnf(c_0_60,plain,
( p2(esk11_2(esk8_0,esk17_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_57]),c_0_9])]) ).
cnf(c_0_61,plain,
( p2(esk15_3(X1,X3,X4))
| ~ r1(esk17_1(X1),X2)
| ~ p2(X2)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_62,plain,
( r1(X1,esk15_3(esk8_0,X2,X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk8_0,X2)
| ~ r1(X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_9])]),c_0_60]) ).
cnf(c_0_63,plain,
( p2(esk15_3(esk8_0,X1,X2))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk8_0,X1)
| ~ r1(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_59]),c_0_9])]),c_0_60]) ).
cnf(c_0_64,plain,
( r1(X1,esk15_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_17]) ).
cnf(c_0_65,plain,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_17]) ).
cnf(c_0_66,negated_conjecture,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_38]) ).
cnf(c_0_67,negated_conjecture,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_38]) ).
cnf(c_0_68,plain,
( r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_66]),c_0_9]),c_0_17])]),c_0_67]) ).
cnf(c_0_69,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_68]) ).
cnf(c_0_70,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_17]),c_0_9])]) ).
cnf(c_0_71,plain,
( r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_66]),c_0_9]),c_0_17])]),c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_70]),c_0_17])]) ).
cnf(c_0_73,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_66]),c_0_9]),c_0_17])]),c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_72]) ).
cnf(c_0_76,plain,
( p2(X1)
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_74]),c_0_9]),c_0_17])]),c_0_68]),c_0_22]),c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_19]) ).
cnf(c_0_78,negated_conjecture,
r1(esk8_0,esk24_1(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_77]),c_0_17])]) ).
cnf(c_0_79,plain,
( p2(esk22_1(X1))
| ~ r1(esk24_1(X1),X2)
| ~ p2(X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_80,plain,
r1(esk24_1(esk8_0),esk11_2(esk8_0,esk24_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_78]),c_0_9])]) ).
cnf(c_0_81,plain,
p2(esk11_2(esk8_0,esk24_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_78]),c_0_9])]) ).
cnf(c_0_82,plain,
p2(esk22_1(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_9]),c_0_81])]) ).
cnf(c_0_83,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(X1,esk14_3(X2,esk22_1(esk8_0),X1))
| ~ epred1_1(X2)
| ~ r1(esk22_1(esk8_0),X1)
| ~ r1(X2,esk22_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_82])]) ).
cnf(c_0_84,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_25]) ).
cnf(c_0_85,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_17]),c_0_9])]) ).
cnf(c_0_86,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_85]),c_0_17])]) ).
cnf(c_0_87,plain,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_86]),c_0_9]),c_0_17])]) ).
cnf(c_0_88,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_86]),c_0_9]),c_0_17])]) ).
cnf(c_0_89,plain,
( p2(X1)
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_87]),c_0_9]),c_0_82]),c_0_17])]),c_0_25]),c_0_88]) ).
cnf(c_0_90,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(spm,[status(thm)],[c_0_89,c_0_19]) ).
cnf(c_0_91,negated_conjecture,
r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_90]),c_0_17])]) ).
cnf(c_0_92,plain,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_91]) ).
cnf(c_0_93,plain,
( p2(esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_39,c_0_91]) ).
cnf(c_0_94,plain,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_17]),c_0_9])]) ).
cnf(c_0_95,plain,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_17]),c_0_9])]) ).
cnf(c_0_96,plain,
( r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_94]),c_0_9]),c_0_17])]),c_0_95]) ).
cnf(c_0_97,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_96]) ).
cnf(c_0_98,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_17]),c_0_9])]) ).
cnf(c_0_99,plain,
( r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_94]),c_0_9]),c_0_17])]),c_0_95]) ).
cnf(c_0_100,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_98]),c_0_17])]) ).
cnf(c_0_101,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_94]),c_0_9]),c_0_17])]),c_0_95]) ).
cnf(c_0_102,negated_conjecture,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_103,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_101,c_0_100]) ).
cnf(c_0_104,plain,
( p2(X1)
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_102]),c_0_9]),c_0_82]),c_0_17])]),c_0_96]),c_0_103]) ).
cnf(c_0_105,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_19]) ).
cnf(c_0_106,negated_conjecture,
r1(esk8_0,esk17_1(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_105]),c_0_17])]) ).
cnf(c_0_107,plain,
r1(esk17_1(esk8_0),esk11_2(esk8_0,esk17_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_106]),c_0_9])]) ).
cnf(c_0_108,plain,
p2(esk11_2(esk8_0,esk17_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_106]),c_0_9])]) ).
cnf(c_0_109,plain,
( r1(X1,esk15_3(esk8_0,X2,X1))
| ~ r1(esk8_0,X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_107]),c_0_9]),c_0_108])]) ).
cnf(c_0_110,plain,
( p2(esk15_3(esk8_0,X1,X2))
| ~ r1(esk8_0,X1)
| ~ r1(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_107]),c_0_9]),c_0_108])]) ).
cnf(c_0_111,plain,
( r1(X1,esk15_3(esk8_0,esk22_1(esk8_0),X1))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_17]) ).
cnf(c_0_112,plain,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),X1))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_17]) ).
cnf(c_0_113,negated_conjecture,
r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))),
inference(spm,[status(thm)],[c_0_111,c_0_91]) ).
cnf(c_0_114,negated_conjecture,
p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))),
inference(spm,[status(thm)],[c_0_112,c_0_91]) ).
cnf(c_0_115,plain,
r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_113]),c_0_9]),c_0_114]),c_0_17])]) ).
cnf(c_0_116,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_115]) ).
cnf(c_0_117,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_17]),c_0_9])]) ).
cnf(c_0_118,plain,
( r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_113]),c_0_9]),c_0_114]),c_0_17])]) ).
cnf(c_0_119,negated_conjecture,
r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_117]),c_0_17])]) ).
cnf(c_0_120,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),X1))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_113]),c_0_9]),c_0_114]),c_0_17])]) ).
cnf(c_0_121,plain,
r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,plain,
p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))),
inference(spm,[status(thm)],[c_0_120,c_0_119]) ).
cnf(c_0_123,plain,
( p2(X1)
| ~ r1(esk22_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_121]),c_0_9]),c_0_122]),c_0_82]),c_0_115]),c_0_17])]) ).
cnf(c_0_124,negated_conjecture,
p2(esk9_1(esk22_1(esk8_0))),
inference(spm,[status(thm)],[c_0_123,c_0_19]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_124]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.18/0.35 % Computer : n010.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Fri Aug 25 03:33:05 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.87/0.94 % Version : CSE_E---1.5
% 0.87/0.94 % Problem : theBenchmark.p
% 0.87/0.94 % Proof found
% 0.87/0.94 % SZS status Theorem for theBenchmark.p
% 0.87/0.94 % SZS output start Proof
% See solution above
% 0.87/0.95 % Total time : 0.339000 s
% 0.87/0.95 % SZS output end Proof
% 0.87/0.95 % Total time : 0.342000 s
%------------------------------------------------------------------------------