TSTP Solution File: SYN917+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN917+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 : Fri Sep 1 01:59:50 EDT 2023
% Result : Theorem 0.21s 0.73s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
f: $i > $o ).
tff(decl_23,type,
g: $i > $o ).
tff(decl_24,type,
h: $i > $o ).
tff(decl_25,type,
r: ( $i * $i ) > $o ).
tff(decl_26,type,
p: $i > $o ).
tff(decl_27,type,
q: $i > $o ).
tff(decl_28,type,
c: $o ).
tff(decl_29,type,
epred1_0: $o ).
tff(decl_30,type,
epred2_0: $o ).
tff(decl_31,type,
epred3_0: $o ).
tff(decl_32,type,
epred4_0: $o ).
tff(decl_33,type,
epred5_0: $o ).
tff(decl_34,type,
epred6_0: $o ).
tff(decl_35,type,
esk1_0: $i ).
tff(decl_36,type,
esk2_0: $i ).
tff(decl_37,type,
esk3_0: $i ).
tff(decl_38,type,
esk4_0: $i ).
tff(decl_39,type,
esk5_0: $i ).
tff(decl_40,type,
esk6_0: $i ).
tff(decl_41,type,
esk7_0: $i ).
tff(decl_42,type,
esk8_0: $i ).
tff(decl_43,type,
esk9_0: $i ).
tff(decl_44,type,
esk10_0: $i ).
tff(decl_45,type,
esk11_0: $i ).
tff(decl_46,type,
esk12_0: $i ).
tff(decl_47,type,
esk13_0: $i ).
tff(decl_48,type,
esk14_0: $i ).
tff(decl_49,type,
esk15_0: $i ).
tff(decl_50,type,
esk16_0: $i ).
tff(decl_51,type,
esk17_0: $i ).
tff(decl_52,type,
esk18_0: $i ).
tff(decl_53,type,
esk19_0: $i ).
tff(decl_54,type,
esk20_0: $i ).
tff(decl_55,type,
esk21_0: $i ).
tff(decl_56,type,
esk22_0: $i ).
tff(decl_57,type,
esk23_0: $i ).
tff(decl_58,type,
esk24_0: $i ).
tff(decl_59,type,
esk25_0: $i ).
tff(decl_60,type,
esk26_0: $i ).
tff(decl_61,type,
esk27_0: $i ).
tff(decl_62,type,
esk28_0: $i ).
tff(decl_63,type,
esk29_0: $i ).
tff(decl_64,type,
esk30_0: $i ).
fof(prove_this,conjecture,
( ( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ( ( ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) )
& ! [X1,X2,X4] :
( ( r(X1,X2)
& r(X2,X4) )
=> r(X1,X4) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X1] :
( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ! [X1] :
( p(X1)
& q(X1) )
<=> ( ! [X1] : p(X1)
& ! [X1] : q(X1) ) )
& ( ( ! [X1] : p(X1)
| ! [X1] : q(X1) )
=> ! [X1] :
( p(X1)
| q(X1) ) )
& ( ? [X1] :
( p(X1)
| q(X1) )
<=> ( ? [X1] : p(X1)
| ? [X1] : q(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( p(X1)
& q(X1) )
=> ( ? [X1] : p(X1)
& ? [X1] : q(X1) ) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) )
& ( ! [X1] :
( p(X1)
| c )
<=> ( ! [X1] : p(X1)
| c ) )
& ( ? [X1] :
( p(X1)
& c )
<=> ( ? [X1] : p(X1)
& c ) )
& ( ? [X1] : c
<=> c )
& ( ! [X1] : c
<=> c )
& ( ? [X1] :
( c
=> p(X1) )
<=> ( c
=> ? [X1] : p(X1) ) )
& ( ? [X1] :
( p(X1)
=> c )
<=> ( ! [X1] : p(X1)
=> c ) )
& ( ! [X1] :
( c
=> p(X1) )
<=> ( c
=> ! [X1] : p(X1) ) )
& ( ! [X1] :
( p(X1)
=> c )
<=> ( ? [X1] : p(X1)
=> c ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(c_0_1,plain,
( epred1_0
<=> ( ( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ( ( ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) )
& ! [X1,X2,X4] :
( ( r(X1,X2)
& r(X2,X4) )
=> r(X1,X4) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( ( ( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ( ( ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) )
& ! [X1,X2,X4] :
( ( r(X1,X2)
& r(X2,X4) )
=> r(X1,X4) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,plain,
! [X15,X16,X17,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( ~ r(X23,X24)
| r(X24,X23)
| f(esk5_0)
| f(X15)
| epred1_0 )
& ( ~ r(X25,X26)
| ~ r(X26,X27)
| r(X25,X27)
| f(esk5_0)
| f(X15)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| f(esk5_0)
| f(X15)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| f(esk5_0)
| f(X15)
| epred1_0 )
& ( ~ r(X23,X24)
| r(X24,X23)
| ~ g(esk5_0)
| f(X15)
| epred1_0 )
& ( ~ r(X25,X26)
| ~ r(X26,X27)
| r(X25,X27)
| ~ g(esk5_0)
| f(X15)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ g(esk5_0)
| f(X15)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ g(esk5_0)
| f(X15)
| epred1_0 )
& ( ~ r(X23,X24)
| r(X24,X23)
| f(esk5_0)
| g(X16)
| epred1_0 )
& ( ~ r(X25,X26)
| ~ r(X26,X27)
| r(X25,X27)
| f(esk5_0)
| g(X16)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| f(esk5_0)
| g(X16)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| f(esk5_0)
| g(X16)
| epred1_0 )
& ( ~ r(X23,X24)
| r(X24,X23)
| ~ g(esk5_0)
| g(X16)
| epred1_0 )
& ( ~ r(X25,X26)
| ~ r(X26,X27)
| r(X25,X27)
| ~ g(esk5_0)
| g(X16)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ g(esk5_0)
| g(X16)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ g(esk5_0)
| g(X16)
| epred1_0 )
& ( ~ r(X23,X24)
| r(X24,X23)
| f(esk5_0)
| ~ h(X17)
| epred1_0 )
& ( ~ r(X25,X26)
| ~ r(X26,X27)
| r(X25,X27)
| f(esk5_0)
| ~ h(X17)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| f(esk5_0)
| ~ h(X17)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| f(esk5_0)
| ~ h(X17)
| epred1_0 )
& ( ~ r(X23,X24)
| r(X24,X23)
| ~ g(esk5_0)
| ~ h(X17)
| epred1_0 )
& ( ~ r(X25,X26)
| ~ r(X26,X27)
| r(X25,X27)
| ~ g(esk5_0)
| ~ h(X17)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ g(esk5_0)
| ~ h(X17)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ g(esk5_0)
| ~ h(X17)
| epred1_0 )
& ( ~ r(X23,X24)
| r(X24,X23)
| ~ f(X19)
| g(X19)
| ~ f(X20)
| h(X20)
| epred1_0 )
& ( ~ r(X25,X26)
| ~ r(X26,X27)
| r(X25,X27)
| ~ f(X19)
| g(X19)
| ~ f(X20)
| h(X20)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ f(X19)
| g(X19)
| ~ f(X20)
| h(X20)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ f(X19)
| g(X19)
| ~ f(X20)
| h(X20)
| epred1_0 )
& ( ~ r(X23,X24)
| r(X24,X23)
| ~ f(X21)
| ~ h(X21)
| g(X21)
| epred1_0 )
& ( ~ r(X25,X26)
| ~ r(X26,X27)
| r(X25,X27)
| ~ f(X21)
| ~ h(X21)
| g(X21)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ f(X21)
| ~ h(X21)
| g(X21)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ f(X21)
| ~ h(X21)
| g(X21)
| epred1_0 )
& ( ~ r(X23,X24)
| r(X24,X23)
| ~ f(X22)
| ~ g(X22)
| h(X22)
| epred1_0 )
& ( ~ r(X25,X26)
| ~ r(X26,X27)
| r(X25,X27)
| ~ f(X22)
| ~ g(X22)
| h(X22)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ f(X22)
| ~ g(X22)
| h(X22)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ f(X22)
| ~ g(X22)
| h(X22)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
cnf(c_0_4,plain,
( r(esk6_0,esk7_0)
| f(esk5_0)
| epred1_0
| ~ h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,plain,
( r(esk6_0,esk7_0)
| h(X1)
| epred1_0
| ~ f(X1)
| ~ g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( r(esk6_0,esk7_0)
| f(esk5_0)
| f(X1)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( r(esk6_0,esk7_0)
| f(esk5_0)
| g(X1)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,plain,
( r(X2,X1)
| f(esk5_0)
| f(X3)
| epred1_0
| ~ r(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,plain,
( epred1_0
| r(esk6_0,esk7_0)
| f(esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).
cnf(c_0_10,plain,
( r(X2,X1)
| f(esk5_0)
| g(X3)
| epred1_0
| ~ r(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,plain,
( r(X2,X1)
| f(esk5_0)
| epred1_0
| ~ r(X1,X2)
| ~ h(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,plain,
( r(X2,X1)
| h(X3)
| epred1_0
| ~ r(X1,X2)
| ~ f(X3)
| ~ g(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,plain,
( epred1_0
| r(esk7_0,esk6_0)
| f(esk5_0)
| f(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( epred1_0
| r(esk7_0,esk6_0)
| g(X1)
| f(esk5_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_15,plain,
( epred1_0
| r(esk7_0,esk6_0)
| f(esk5_0)
| ~ h(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_16,plain,
( epred1_0
| ~ r(esk6_0,esk6_0)
| ~ g(esk5_0)
| ~ h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,plain,
( h(X1)
| epred1_0
| ~ r(esk6_0,esk6_0)
| ~ f(X1)
| ~ g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_18,plain,
( f(X1)
| epred1_0
| ~ r(esk6_0,esk6_0)
| ~ g(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_19,plain,
( g(X1)
| epred1_0
| ~ r(esk6_0,esk6_0)
| ~ g(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,plain,
( r(X1,X3)
| f(esk5_0)
| f(X4)
| epred1_0
| ~ r(X1,X2)
| ~ r(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,plain,
( epred1_0
| r(esk7_0,esk6_0)
| f(esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_9]),c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_22,plain,
( epred1_0
| ~ r(esk6_0,esk6_0)
| ~ g(esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_23,plain,
( f(esk5_0)
| g(X1)
| epred1_0
| ~ r(esk6_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,plain,
( epred1_0
| r(X1,esk6_0)
| f(esk5_0)
| f(X2)
| ~ r(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( epred1_0
| f(esk5_0)
| ~ r(esk6_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( epred1_0
| f(esk5_0)
| f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_9]),c_0_25]) ).
cnf(c_0_27,plain,
( r(esk6_0,esk7_0)
| g(X1)
| h(X2)
| epred1_0
| ~ f(X1)
| ~ f(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,plain,
( epred1_0
| f(esk5_0) ),
inference(ef,[status(thm)],[c_0_26]) ).
cnf(c_0_29,plain,
( r(esk6_0,esk7_0)
| epred1_0
| ~ g(esk5_0)
| ~ h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_30,plain,
( r(esk6_0,esk7_0)
| f(X1)
| epred1_0
| ~ g(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,plain,
( r(esk6_0,esk7_0)
| g(X1)
| epred1_0
| ~ g(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_32,plain,
( epred1_0
| r(esk6_0,esk7_0)
| h(esk5_0)
| g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( epred1_0
| r(esk6_0,esk7_0)
| ~ g(esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_5]),c_0_30]),c_0_31]) ).
cnf(c_0_34,plain,
( r(esk6_0,esk7_0)
| g(X1)
| epred1_0
| ~ f(X1)
| ~ h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_35,plain,
( epred1_0
| r(esk6_0,esk7_0)
| h(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_28]),c_0_33]) ).
cnf(c_0_36,plain,
( r(X2,X1)
| g(X3)
| h(X4)
| epred1_0
| ~ r(X1,X2)
| ~ f(X3)
| ~ f(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,plain,
( epred1_0
| r(esk6_0,esk7_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28]),c_0_33]) ).
cnf(c_0_38,plain,
( epred1_0
| r(esk7_0,esk6_0)
| h(X1)
| g(X2)
| ~ f(X1)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
( r(X2,X1)
| epred1_0
| ~ r(X1,X2)
| ~ g(esk5_0)
| ~ h(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_40,plain,
( r(X2,X1)
| g(X3)
| epred1_0
| ~ r(X1,X2)
| ~ f(X3)
| ~ h(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_41,plain,
( epred1_0
| r(esk7_0,esk6_0)
| h(esk5_0)
| g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_28]) ).
cnf(c_0_42,plain,
( epred1_0
| r(esk7_0,esk6_0)
| ~ h(X1)
| ~ g(esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_37]) ).
cnf(c_0_43,plain,
( epred1_0
| r(esk7_0,esk6_0)
| h(X1)
| ~ g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_37]) ).
cnf(c_0_44,plain,
( epred1_0
| r(esk7_0,esk6_0)
| g(X1)
| ~ h(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_45,plain,
( epred1_0
| r(esk7_0,esk6_0)
| h(esk5_0)
| g(esk5_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_28]) ).
cnf(c_0_46,plain,
( epred1_0
| r(esk7_0,esk6_0)
| ~ g(esk5_0)
| ~ g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
( epred1_0
| r(esk7_0,esk6_0)
| g(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28]) ).
cnf(c_0_48,plain,
( epred1_0
| r(esk7_0,esk6_0)
| ~ g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,plain,
( r(X1,X3)
| g(X4)
| h(X5)
| epred1_0
| ~ r(X1,X2)
| ~ r(X2,X3)
| ~ f(X4)
| ~ f(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_50,plain,
( epred1_0
| r(esk7_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_28]) ).
cnf(c_0_51,plain,
( epred1_0
| r(X1,esk6_0)
| h(X2)
| g(X3)
| ~ r(X1,esk7_0)
| ~ f(X2)
| ~ f(X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_52,plain,
( g(X1)
| h(X2)
| epred1_0
| ~ r(esk6_0,esk6_0)
| ~ f(X1)
| ~ f(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_53,plain,
( r(X1,X3)
| epred1_0
| ~ r(X1,X2)
| ~ r(X2,X3)
| ~ g(esk5_0)
| ~ h(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_54,plain,
( r(X1,X3)
| h(X4)
| epred1_0
| ~ r(X1,X2)
| ~ r(X2,X3)
| ~ f(X4)
| ~ g(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_55,plain,
( r(X1,X3)
| g(X4)
| epred1_0
| ~ r(X1,X2)
| ~ r(X2,X3)
| ~ f(X4)
| ~ h(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_56,plain,
( epred1_0
| h(X1)
| g(X2)
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_37]),c_0_52]) ).
fof(c_0_57,plain,
( epred2_0
<=> ( ( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ( ( ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) )
& ! [X1,X2,X4] :
( ( r(X1,X2)
& r(X2,X4) )
=> r(X1,X4) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X1] :
( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) ) ) ),
introduced(definition) ).
cnf(c_0_58,plain,
( epred1_0
| r(X1,esk6_0)
| ~ r(X1,esk7_0)
| ~ h(X2)
| ~ g(esk5_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_59,plain,
( epred1_0
| r(X1,esk6_0)
| h(X2)
| ~ r(X1,esk7_0)
| ~ g(X2)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_50]) ).
cnf(c_0_60,plain,
( epred1_0
| r(X1,esk6_0)
| g(X2)
| ~ r(X1,esk7_0)
| ~ h(X2)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_50]) ).
cnf(c_0_61,plain,
( g(X1)
| epred1_0
| ~ r(esk6_0,esk6_0)
| ~ f(X1)
| ~ h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_62,plain,
( epred1_0
| h(esk5_0)
| g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_28]) ).
fof(c_0_63,plain,
( ( epred1_0
& ( ( ( ! [X1] :
( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) ) )
=> epred2_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_57]),c_0_1]) ).
cnf(c_0_64,plain,
( epred1_0
| ~ h(X1)
| ~ g(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_37]),c_0_22]) ).
cnf(c_0_65,plain,
( epred1_0
| h(X1)
| ~ g(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_37]),c_0_17]) ).
cnf(c_0_66,plain,
( epred1_0
| g(X1)
| ~ h(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_37]),c_0_61]) ).
cnf(c_0_67,plain,
( epred1_0
| h(esk5_0)
| g(esk5_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_28]) ).
fof(c_0_68,plain,
! [X32,X33,X34,X35,X37,X38,X39] :
( ( ~ p(esk10_0)
| q(X37)
| f(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X38)
| f(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X39)
| f(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X37)
| ~ g(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X38)
| ~ g(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X39)
| ~ g(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X37)
| f(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X38)
| f(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X39)
| f(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X37)
| ~ g(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X38)
| ~ g(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X39)
| ~ g(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X37)
| f(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X38)
| f(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X39)
| f(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X37)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X38)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X39)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X37)
| ~ f(X32)
| g(X32)
| ~ f(X33)
| h(X33)
| ~ epred1_0
| epred2_0 )
& ( p(X38)
| ~ f(X32)
| g(X32)
| ~ f(X33)
| h(X33)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X39)
| ~ f(X32)
| g(X32)
| ~ f(X33)
| h(X33)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X37)
| ~ f(X34)
| ~ h(X34)
| g(X34)
| ~ epred1_0
| epred2_0 )
& ( p(X38)
| ~ f(X34)
| ~ h(X34)
| g(X34)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X39)
| ~ f(X34)
| ~ h(X34)
| g(X34)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X37)
| ~ f(X35)
| ~ g(X35)
| h(X35)
| ~ epred1_0
| epred2_0 )
& ( p(X38)
| ~ f(X35)
| ~ g(X35)
| h(X35)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X39)
| ~ f(X35)
| ~ g(X35)
| h(X35)
| ~ epred1_0
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])])])]) ).
cnf(c_0_69,plain,
( epred1_0
| ~ g(esk5_0)
| ~ g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,plain,
( epred1_0
| g(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_28]) ).
cnf(c_0_71,plain,
( q(X1)
| f(esk9_0)
| epred2_0
| ~ p(esk10_0)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_72,plain,
( p(X1)
| f(esk9_0)
| epred2_0
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_73,plain,
( f(esk9_0)
| epred2_0
| ~ q(X1)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,plain,
( q(X1)
| h(X2)
| epred2_0
| ~ p(esk10_0)
| ~ f(X2)
| ~ g(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( p(X1)
| h(X2)
| epred2_0
| ~ f(X2)
| ~ g(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,plain,
( h(X2)
| epred2_0
| ~ q(X1)
| ~ f(X2)
| ~ g(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,plain,
( q(X1)
| f(esk9_0)
| f(esk8_0)
| epred2_0
| ~ p(esk10_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_78,plain,
( p(X1)
| f(esk9_0)
| f(esk8_0)
| epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_79,plain,
( f(esk9_0)
| f(esk8_0)
| epred2_0
| ~ q(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_80,plain,
( q(X1)
| f(esk9_0)
| g(esk8_0)
| epred2_0
| ~ p(esk10_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_81,plain,
( p(X1)
| f(esk9_0)
| g(esk8_0)
| epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_82,plain,
( f(esk9_0)
| g(esk8_0)
| epred2_0
| ~ q(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_83,plain,
( q(X1)
| g(X2)
| h(X3)
| epred2_0
| ~ p(esk10_0)
| ~ f(X2)
| ~ f(X3)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_84,plain,
( p(X1)
| g(X2)
| h(X3)
| epred2_0
| ~ f(X2)
| ~ f(X3)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_85,plain,
( g(X2)
| h(X3)
| epred2_0
| ~ q(X1)
| ~ f(X2)
| ~ f(X3)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_86,plain,
( epred1_0
| ~ g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_87,plain,
( epred2_0
| f(esk9_0)
| ~ epred1_0
| ~ h(esk8_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_88,plain,
( epred2_0
| h(X1)
| ~ epred1_0
| ~ g(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_89,plain,
( epred2_0
| f(esk9_0)
| f(esk8_0)
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_90,plain,
( epred2_0
| g(esk8_0)
| f(esk9_0)
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_91,plain,
( q(X1)
| epred2_0
| ~ p(esk10_0)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_92,plain,
( p(X1)
| epred2_0
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_93,plain,
( epred2_0
| ~ q(X1)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_94,plain,
( q(X1)
| f(esk8_0)
| epred2_0
| ~ p(esk10_0)
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_95,plain,
( p(X1)
| f(esk8_0)
| epred2_0
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_96,plain,
( f(esk8_0)
| epred2_0
| ~ q(X1)
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_97,plain,
( q(X1)
| g(esk8_0)
| epred2_0
| ~ p(esk10_0)
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_98,plain,
( p(X1)
| g(esk8_0)
| epred2_0
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_99,plain,
( g(esk8_0)
| epred2_0
| ~ q(X1)
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_100,plain,
( epred2_0
| h(X1)
| g(X2)
| ~ epred1_0
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_101,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_70]),c_0_28]) ).
cnf(c_0_102,plain,
( epred2_0
| f(esk9_0)
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_90]) ).
cnf(c_0_103,plain,
( epred2_0
| ~ epred1_0
| ~ h(esk8_0)
| ~ g(esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_104,plain,
( epred2_0
| f(esk8_0)
| ~ epred1_0
| ~ g(esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_105,plain,
( epred2_0
| g(esk8_0)
| ~ epred1_0
| ~ g(esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
fof(c_0_106,plain,
( epred3_0
<=> ( ( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ( ( ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) )
& ! [X1,X2,X4] :
( ( r(X1,X2)
& r(X2,X4) )
=> r(X1,X4) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X1] :
( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ! [X1] :
( p(X1)
& q(X1) )
<=> ( ! [X1] : p(X1)
& ! [X1] : q(X1) ) )
& ( ( ! [X1] : p(X1)
| ! [X1] : q(X1) )
=> ! [X1] :
( p(X1)
| q(X1) ) )
& ( ? [X1] :
( p(X1)
| q(X1) )
<=> ( ? [X1] : p(X1)
| ? [X1] : q(X1) ) ) ) ),
introduced(definition) ).
cnf(c_0_107,plain,
( q(X1)
| g(X2)
| epred2_0
| ~ p(esk10_0)
| ~ f(X2)
| ~ h(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_108,plain,
( p(X1)
| g(X2)
| epred2_0
| ~ f(X2)
| ~ h(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_109,plain,
( g(X2)
| epred2_0
| ~ q(X1)
| ~ f(X2)
| ~ h(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_110,plain,
( epred2_0
| h(X1)
| g(X2)
| ~ f(X1)
| ~ f(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).
cnf(c_0_111,plain,
( epred2_0
| f(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_101])]) ).
cnf(c_0_112,plain,
( epred2_0
| ~ epred1_0
| ~ g(esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_88]),c_0_104]),c_0_105]) ).
fof(c_0_113,plain,
( ( epred2_0
& ( ! [X1] :
( p(X1)
& q(X1) )
<=> ( ! [X1] : p(X1)
& ! [X1] : q(X1) ) )
& ( ( ! [X1] : p(X1)
| ! [X1] : q(X1) )
=> ! [X1] :
( p(X1)
| q(X1) ) )
& ( ? [X1] :
( p(X1)
| q(X1) )
<=> ( ? [X1] : p(X1)
| ? [X1] : q(X1) ) ) )
=> epred3_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_106]),c_0_57]) ).
cnf(c_0_114,plain,
( epred2_0
| g(X1)
| ~ epred1_0
| ~ h(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_115,plain,
( epred2_0
| h(esk9_0)
| g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_116,plain,
( epred2_0
| ~ g(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_101])]) ).
fof(c_0_117,plain,
! [X43,X44,X45,X46,X47,X49,X50,X51] :
( ( ~ p(X50)
| ~ p(X49)
| p(X46)
| q(X47)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| p(X46)
| q(X47)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| p(X46)
| q(X47)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| p(X46)
| q(X47)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X46)
| q(X47)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ p(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ p(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ p(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ p(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ p(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| p(X46)
| q(X47)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| p(X46)
| q(X47)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| p(X46)
| q(X47)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| p(X46)
| q(X47)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X46)
| q(X47)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ p(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ p(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ p(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ p(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ p(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ q(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ q(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ q(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ q(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ q(esk14_0)
| p(X44)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| p(X46)
| q(X47)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| p(X46)
| q(X47)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| p(X46)
| q(X47)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| p(X46)
| q(X47)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X46)
| q(X47)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ p(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ p(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ p(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ p(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ p(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ q(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ q(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ q(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ q(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ q(esk14_0)
| q(X45)
| p(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| p(X46)
| q(X47)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| p(X46)
| q(X47)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| p(X46)
| q(X47)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| p(X46)
| q(X47)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X46)
| q(X47)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ p(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ p(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ p(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ p(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ p(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ q(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ q(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ q(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ q(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ q(esk14_0)
| p(X44)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| p(X46)
| q(X47)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| p(X46)
| q(X47)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| p(X46)
| q(X47)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| p(X46)
| q(X47)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X46)
| q(X47)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ p(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ p(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ p(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ p(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ p(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ p(X49)
| ~ q(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ p(X49)
| ~ q(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X50)
| ~ q(X49)
| ~ q(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X51)
| ~ q(X49)
| ~ q(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ q(esk14_0)
| q(X45)
| q(X43)
| ~ epred2_0
| epred3_0 ) ),
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_113])])])])]) ).
cnf(c_0_118,plain,
( epred2_0
| g(X1)
| ~ h(X1)
| ~ f(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_101])]) ).
cnf(c_0_119,plain,
( epred2_0
| h(esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_111]),c_0_116]) ).
cnf(c_0_120,plain,
( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X1)
| q(X2)
| q(X3)
| q(X4)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_121,plain,
epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_111]),c_0_116]) ).
cnf(c_0_122,plain,
( epred3_0
| q(esk17_0)
| q(esk15_0)
| q(X1)
| q(X2)
| q(X3)
| p(esk16_0)
| p(esk15_0)
| p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]) ).
cnf(c_0_123,plain,
( epred3_0
| q(esk17_0)
| q(esk15_0)
| q(X1)
| q(X2)
| p(esk15_0)
| p(esk16_0)
| p(X3) ),
inference(ef,[status(thm)],[c_0_122]) ).
cnf(c_0_124,plain,
( p(X3)
| q(X4)
| p(X5)
| p(X6)
| epred3_0
| ~ q(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_125,plain,
( epred3_0
| q(esk17_0)
| q(esk15_0)
| q(X1)
| p(esk16_0)
| p(esk15_0)
| p(X2) ),
inference(ef,[status(thm)],[c_0_123]) ).
cnf(c_0_126,plain,
( p(X3)
| q(X4)
| p(X5)
| p(X6)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_127,plain,
( p(X3)
| q(X4)
| q(X5)
| p(X6)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_128,plain,
( epred3_0
| q(X1)
| p(X2)
| p(X3)
| p(X4)
| ~ q(X5)
| ~ p(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_121])]) ).
cnf(c_0_129,plain,
( epred3_0
| q(esk17_0)
| q(esk15_0)
| p(esk15_0)
| p(esk16_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_125]) ).
cnf(c_0_130,plain,
( epred3_0
| q(X1)
| p(X2)
| p(X3)
| p(X4)
| ~ p(X5)
| ~ p(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_121])]) ).
cnf(c_0_131,plain,
( epred3_0
| q(X1)
| q(X2)
| p(X3)
| p(X4)
| ~ p(X5)
| ~ p(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_121])]) ).
cnf(c_0_132,plain,
( epred3_0
| q(esk15_0)
| q(X1)
| p(esk16_0)
| p(esk15_0)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_130]),c_0_130]),c_0_131]) ).
cnf(c_0_133,plain,
( p(X3)
| q(X4)
| q(X5)
| q(X6)
| epred3_0
| ~ q(X1)
| ~ q(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_134,plain,
( epred3_0
| q(esk17_0)
| q(esk15_0)
| q(X1)
| p(esk15_0)
| p(esk16_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_129]) ).
cnf(c_0_135,plain,
( p(X3)
| q(X4)
| q(X5)
| p(X6)
| epred3_0
| ~ q(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_136,plain,
( p(X3)
| q(X4)
| q(X5)
| q(X6)
| epred3_0
| ~ q(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_137,plain,
( epred3_0
| q(X1)
| q(X2)
| q(X3)
| p(X4)
| ~ q(X5)
| ~ q(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_121])]) ).
cnf(c_0_138,plain,
( epred3_0
| q(esk17_0)
| q(esk15_0)
| p(esk16_0)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_134]) ).
cnf(c_0_139,plain,
( epred3_0
| q(X1)
| q(X2)
| p(X3)
| p(X4)
| ~ q(X5)
| ~ p(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_121])]) ).
cnf(c_0_140,plain,
( epred3_0
| q(X1)
| q(X2)
| q(X3)
| p(X4)
| ~ q(X5)
| ~ p(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_121])]) ).
cnf(c_0_141,plain,
( epred3_0
| q(esk15_0)
| q(X1)
| q(X2)
| p(esk16_0)
| ~ q(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]),c_0_140]),c_0_137]) ).
cnf(c_0_142,plain,
( epred3_0
| q(esk15_0)
| q(X1)
| q(X2)
| p(esk15_0)
| p(esk16_0) ),
inference(spm,[status(thm)],[c_0_141,c_0_138]) ).
cnf(c_0_143,plain,
( epred3_0
| q(esk15_0)
| q(X1)
| p(esk16_0)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_142]) ).
cnf(c_0_144,plain,
( epred3_0
| q(esk15_0)
| p(esk15_0)
| p(esk16_0) ),
inference(ef,[status(thm)],[c_0_143]) ).
cnf(c_0_145,plain,
( epred3_0
| q(X1)
| q(X2)
| q(X3)
| p(esk15_0)
| ~ q(X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_144]),c_0_139]),c_0_140]) ).
cnf(c_0_146,plain,
( epred3_0
| q(X1)
| q(X2)
| q(X3)
| p(esk16_0)
| p(esk15_0) ),
inference(spm,[status(thm)],[c_0_145,c_0_144]) ).
cnf(c_0_147,plain,
( p(X3)
| p(X4)
| epred3_0
| ~ q(X1)
| ~ q(X2)
| ~ q(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_148,plain,
( epred3_0
| q(X1)
| q(X2)
| p(esk15_0)
| p(esk16_0) ),
inference(ef,[status(thm)],[c_0_146]) ).
cnf(c_0_149,plain,
( epred3_0
| p(X1)
| p(X2)
| ~ q(esk14_0)
| ~ q(X3)
| ~ q(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_121])]) ).
cnf(c_0_150,plain,
( epred3_0
| q(X1)
| p(esk16_0)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_148]) ).
cnf(c_0_151,plain,
( epred3_0
| p(esk15_0)
| p(esk16_0)
| p(X1)
| p(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_150]),c_0_150]) ).
cnf(c_0_152,plain,
( epred3_0
| p(esk16_0)
| p(esk15_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_151]) ).
cnf(c_0_153,plain,
( epred3_0
| p(esk16_0)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_152]) ).
cnf(c_0_154,plain,
( epred3_0
| q(X1)
| p(esk15_0)
| p(X2)
| p(X3)
| ~ p(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_153]),c_0_130]) ).
cnf(c_0_155,plain,
( p(X3)
| p(X4)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ q(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_156,plain,
( epred3_0
| q(X1)
| p(esk15_0)
| p(X2)
| p(X3) ),
inference(spm,[status(thm)],[c_0_154,c_0_153]) ).
cnf(c_0_157,plain,
( epred3_0
| p(X1)
| p(X2)
| ~ q(esk14_0)
| ~ p(X3)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_121])]) ).
cnf(c_0_158,plain,
( epred3_0
| q(X1)
| p(esk15_0)
| p(X2) ),
inference(ef,[status(thm)],[c_0_156]) ).
cnf(c_0_159,plain,
( epred3_0
| p(esk15_0)
| p(X1)
| p(X2)
| p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_160,plain,
( epred3_0
| p(esk15_0)
| p(X1)
| p(X2)
| p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_159,c_0_153]) ).
cnf(c_0_161,plain,
( epred3_0
| p(esk15_0)
| p(X1)
| p(X2)
| p(X3) ),
inference(spm,[status(thm)],[c_0_160,c_0_153]) ).
cnf(c_0_162,plain,
( p(X3)
| p(X4)
| epred3_0
| ~ q(X1)
| ~ q(X2)
| ~ p(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_163,plain,
( p(X3)
| p(X4)
| epred3_0
| ~ q(X1)
| ~ p(X2)
| ~ p(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_164,plain,
( epred3_0
| p(esk15_0)
| p(X1)
| p(X2) ),
inference(ef,[status(thm)],[c_0_161]) ).
cnf(c_0_165,plain,
( epred3_0
| p(X1)
| p(X2)
| ~ q(X3)
| ~ q(X4)
| ~ p(esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_121])]) ).
cnf(c_0_166,plain,
( epred3_0
| p(X1)
| p(X2)
| ~ q(X3)
| ~ p(esk14_0)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_121])]) ).
cnf(c_0_167,plain,
( epred3_0
| p(esk15_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_164]) ).
cnf(c_0_168,plain,
( q(X3)
| p(X4)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ p(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_169,plain,
( epred3_0
| p(esk16_0)
| p(esk15_0)
| ~ q(X1)
| ~ p(esk14_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_144]),c_0_166]),c_0_166]) ).
cnf(c_0_170,plain,
( epred3_0
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_167]) ).
cnf(c_0_171,plain,
( epred3_0
| q(X1)
| p(X2)
| ~ p(esk14_0)
| ~ p(X3)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_121])]) ).
cnf(c_0_172,plain,
( epred3_0
| p(esk15_0)
| p(esk16_0)
| ~ p(esk14_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_144]) ).
cnf(c_0_173,plain,
( epred3_0
| q(X1)
| p(X2)
| p(X3)
| p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_130,c_0_170]) ).
cnf(c_0_174,plain,
( epred3_0
| q(X1)
| p(esk15_0)
| ~ p(esk14_0)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_171]) ).
cnf(c_0_175,plain,
( p(X3)
| p(X4)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ p(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_176,plain,
( epred3_0
| q(X1)
| p(X2)
| p(X3)
| p(X4) ),
inference(spm,[status(thm)],[c_0_173,c_0_170]) ).
cnf(c_0_177,plain,
( epred3_0
| q(X1)
| p(esk15_0)
| ~ p(esk14_0) ),
inference(spm,[status(thm)],[c_0_174,c_0_172]) ).
cnf(c_0_178,plain,
( epred3_0
| p(X1)
| p(X2)
| ~ p(esk14_0)
| ~ p(X3)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_121])]) ).
cnf(c_0_179,plain,
( epred3_0
| q(X1)
| p(X2)
| p(X3) ),
inference(ef,[status(thm)],[c_0_176]) ).
cnf(c_0_180,plain,
( epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ p(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_181,plain,
( epred3_0
| p(esk15_0)
| p(X1)
| ~ p(esk14_0)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_177]),c_0_178]) ).
cnf(c_0_182,plain,
( epred3_0
| q(X1)
| p(X2) ),
inference(ef,[status(thm)],[c_0_179]) ).
cnf(c_0_183,plain,
( epred3_0
| ~ q(esk11_0)
| ~ q(esk13_0)
| ~ p(esk11_0)
| ~ p(esk12_0)
| ~ p(esk14_0)
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_121])]) ).
cnf(c_0_184,plain,
( epred3_0
| p(esk15_0)
| p(X1)
| ~ p(esk14_0) ),
inference(spm,[status(thm)],[c_0_181,c_0_172]) ).
cnf(c_0_185,plain,
( epred3_0
| p(X1)
| p(X2)
| p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_157,c_0_182]) ).
cnf(c_0_186,plain,
( epred3_0
| p(esk15_0)
| ~ p(esk14_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_183,c_0_177]),c_0_178]),c_0_178]),c_0_166]),c_0_184]),c_0_177]) ).
cnf(c_0_187,plain,
( epred3_0
| p(X1)
| p(X2)
| p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_185,c_0_170]) ).
cnf(c_0_188,plain,
( q(X3)
| q(X4)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ p(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_189,plain,
( epred3_0
| q(X1)
| p(X2)
| ~ p(esk14_0)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_186]) ).
cnf(c_0_190,plain,
( epred3_0
| p(X1)
| p(X2)
| p(X3) ),
inference(spm,[status(thm)],[c_0_187,c_0_170]) ).
fof(c_0_191,plain,
( epred4_0
<=> ( ( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ( ( ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) )
& ! [X1,X2,X4] :
( ( r(X1,X2)
& r(X2,X4) )
=> r(X1,X4) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X1] :
( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ! [X1] :
( p(X1)
& q(X1) )
<=> ( ! [X1] : p(X1)
& ! [X1] : q(X1) ) )
& ( ( ! [X1] : p(X1)
| ! [X1] : q(X1) )
=> ! [X1] :
( p(X1)
| q(X1) ) )
& ( ? [X1] :
( p(X1)
| q(X1) )
<=> ( ? [X1] : p(X1)
| ? [X1] : q(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( p(X1)
& q(X1) )
=> ( ? [X1] : p(X1)
& ? [X1] : q(X1) ) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) ) ) ),
introduced(definition) ).
cnf(c_0_192,plain,
( epred3_0
| q(X1)
| q(X2)
| ~ p(esk14_0)
| ~ p(X3)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_121])]) ).
cnf(c_0_193,plain,
( epred3_0
| q(X1)
| p(X2)
| ~ p(esk14_0) ),
inference(spm,[status(thm)],[c_0_189,c_0_186]) ).
cnf(c_0_194,plain,
( epred3_0
| p(X1)
| p(X2) ),
inference(ef,[status(thm)],[c_0_190]) ).
fof(c_0_195,plain,
( ( epred3_0
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( p(X1)
& q(X1) )
=> ( ? [X1] : p(X1)
& ? [X1] : q(X1) ) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) ) )
=> epred4_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_191]),c_0_106]) ).
cnf(c_0_196,plain,
( epred3_0
| q(X1)
| q(X2)
| ~ p(esk14_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_186]),c_0_193]) ).
cnf(c_0_197,plain,
( epred3_0
| p(X1) ),
inference(ef,[status(thm)],[c_0_194]) ).
fof(c_0_198,plain,
! [X55,X58,X59,X61,X62,X63,X64] :
( ( ~ p(X64)
| p(X62)
| p(X61)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| p(X61)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| p(X61)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| p(X61)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| p(X61)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| p(X61)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| ~ p(esk20_0)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| ~ p(esk20_0)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| ~ p(esk20_0)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| ~ p(esk20_0)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| ~ p(esk20_0)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| ~ p(esk20_0)
| p(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| p(X61)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| p(X61)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| p(X61)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| p(X61)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| p(X61)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| p(X61)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| ~ p(esk20_0)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| ~ p(esk20_0)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| ~ p(esk20_0)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| ~ p(esk20_0)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| ~ p(esk20_0)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| ~ p(esk20_0)
| q(esk19_0)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| p(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| p(X61)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| p(X61)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| p(X61)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| p(X61)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| p(X61)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| p(X61)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| p(X61)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| p(X61)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| p(X61)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| p(X61)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| p(X61)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| p(X61)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| p(X61)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| p(X62)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X62)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X62)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X64)
| ~ p(X63)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X63)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X63)
| ~ p(esk20_0)
| ~ p(X58)
| ~ q(X59)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_195])])])])])]) ).
cnf(c_0_199,plain,
( epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_200,plain,
( epred3_0
| q(X1)
| q(X2) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_201,plain,
( p(X2)
| p(X3)
| p(esk19_0)
| p(X4)
| epred4_0
| ~ p(X1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_202,plain,
( p(X3)
| p(esk19_0)
| p(X4)
| epred4_0
| ~ p(X1)
| ~ p(X2)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_203,plain,
( epred3_0
| ~ q(esk11_0)
| ~ q(esk13_0)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ p(esk12_0)
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_121])]) ).
cnf(c_0_204,plain,
( epred3_0
| q(X1) ),
inference(ef,[status(thm)],[c_0_200]) ).
cnf(c_0_205,plain,
( p(esk22_0)
| p(X1)
| p(X2)
| p(esk19_0)
| epred4_0
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_206,plain,
( p(esk22_0)
| p(X1)
| p(X2)
| p(esk19_0)
| p(X3)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_207,plain,
( epred4_0
| p(esk19_0)
| p(X1)
| p(X2)
| ~ epred3_0
| ~ p(X3) ),
inference(csr,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_208,plain,
epred3_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_203,c_0_204]),c_0_197]),c_0_197]),c_0_197]),c_0_197]),c_0_204]),c_0_204]) ).
cnf(c_0_209,plain,
( epred4_0
| p(esk22_0)
| p(esk19_0)
| p(X1)
| p(X2)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_210,plain,
( epred4_0
| p(esk19_0)
| p(X1)
| p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208])]) ).
cnf(c_0_211,plain,
( epred4_0
| p(esk22_0)
| p(esk19_0)
| p(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_208])]),c_0_210]) ).
cnf(c_0_212,plain,
( p(X2)
| p(X3)
| p(X6)
| epred4_0
| ~ p(X1)
| ~ p(X4)
| ~ q(X5)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_213,plain,
( p(X3)
| p(X6)
| epred4_0
| ~ p(X1)
| ~ p(X2)
| ~ p(X4)
| ~ q(X5)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_214,plain,
( p(esk22_0)
| p(X1)
| p(X2)
| q(esk19_0)
| epred4_0
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_215,plain,
( p(esk22_0)
| p(X1)
| p(X2)
| q(esk19_0)
| p(X3)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_216,plain,
( epred4_0
| p(esk22_0)
| p(esk19_0) ),
inference(ef,[status(thm)],[c_0_211]) ).
cnf(c_0_217,plain,
( p(esk22_0)
| p(X1)
| p(X2)
| p(X5)
| epred4_0
| ~ p(X3)
| ~ q(X4)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_218,plain,
( p(esk22_0)
| p(X2)
| p(X5)
| epred4_0
| ~ p(X1)
| ~ p(X3)
| ~ q(X4)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_219,plain,
( epred4_0
| p(X1)
| p(X2)
| ~ epred3_0
| ~ q(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(csr,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_220,plain,
( p(esk22_0)
| p(X2)
| q(esk19_0)
| epred4_0
| ~ p(X1)
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_221,plain,
( epred4_0
| q(esk19_0)
| p(esk22_0)
| p(X1)
| p(X2)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_222,plain,
( p(X3)
| q(esk19_0)
| p(X4)
| epred4_0
| ~ p(X1)
| ~ p(X2)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_223,plain,
( p(X2)
| p(X3)
| q(esk19_0)
| p(X4)
| epred4_0
| ~ p(X1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_224,plain,
( epred4_0
| p(esk19_0)
| p(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_210,c_0_216]) ).
cnf(c_0_225,plain,
( epred4_0
| p(esk22_0)
| p(X1)
| p(X2)
| ~ epred3_0
| ~ q(X3)
| ~ p(X4) ),
inference(csr,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_226,plain,
( epred4_0
| p(X1)
| p(X2)
| ~ q(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_208])]) ).
cnf(c_0_227,plain,
( epred4_0
| q(esk19_0)
| p(esk22_0)
| p(X1)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_220,c_0_221]),c_0_221]) ).
cnf(c_0_228,plain,
( epred4_0
| q(esk19_0)
| p(X1)
| p(X2)
| ~ epred3_0
| ~ p(X3) ),
inference(csr,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_229,plain,
( epred4_0
| p(esk19_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_224]) ).
cnf(c_0_230,plain,
( epred4_0
| p(esk22_0)
| p(X1)
| ~ q(X2)
| ~ p(X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_208])]),c_0_226]) ).
cnf(c_0_231,plain,
( epred4_0
| q(esk19_0)
| p(esk22_0)
| p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_208])]) ).
cnf(c_0_232,plain,
( epred4_0
| q(esk19_0)
| p(X1)
| p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_208])]) ).
cnf(c_0_233,plain,
( epred4_0
| p(esk19_0) ),
inference(ef,[status(thm)],[c_0_229]) ).
cnf(c_0_234,plain,
( epred4_0
| p(esk22_0)
| p(X1)
| p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
fof(c_0_235,plain,
( epred5_0
<=> ( ( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ( ( ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) )
& ! [X1,X2,X4] :
( ( r(X1,X2)
& r(X2,X4) )
=> r(X1,X4) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X1] :
( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ! [X1] :
( p(X1)
& q(X1) )
<=> ( ! [X1] : p(X1)
& ! [X1] : q(X1) ) )
& ( ( ! [X1] : p(X1)
| ! [X1] : q(X1) )
=> ! [X1] :
( p(X1)
| q(X1) ) )
& ( ? [X1] :
( p(X1)
| q(X1) )
<=> ( ? [X1] : p(X1)
| ? [X1] : q(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( p(X1)
& q(X1) )
=> ( ? [X1] : p(X1)
& ? [X1] : q(X1) ) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) )
& ( ! [X1] :
( p(X1)
| c )
<=> ( ! [X1] : p(X1)
| c ) )
& ( ? [X1] :
( p(X1)
& c )
<=> ( ? [X1] : p(X1)
& c ) ) ) ),
introduced(definition) ).
cnf(c_0_236,plain,
( epred4_0
| q(esk19_0)
| p(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_237,plain,
( epred4_0
| p(esk22_0)
| p(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_234,c_0_233]) ).
fof(c_0_238,plain,
( epred6_0
<=> ( ( ( ! [X1] :
( ( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X2] :
( f(X2)
& ~ g(X2) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ( ( ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) )
& ! [X1,X2,X4] :
( ( r(X1,X2)
& r(X2,X4) )
=> r(X1,X4) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X1] :
( ( f(X1)
& g(X1) )
=> h(X1) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X3] :
( f(X3)
=> g(X3) )
| ! [X4] :
( f(X4)
=> h(X4) ) ) )
=> ( ! [X5] :
( ( f(X5)
& h(X5) )
=> g(X5) )
=> ? [X6] :
( f(X6)
& g(X6)
& ~ h(X6) ) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ! [X1] :
( p(X1)
& q(X1) )
<=> ( ! [X1] : p(X1)
& ! [X1] : q(X1) ) )
& ( ( ! [X1] : p(X1)
| ! [X1] : q(X1) )
=> ! [X1] :
( p(X1)
| q(X1) ) )
& ( ? [X1] :
( p(X1)
| q(X1) )
<=> ( ? [X1] : p(X1)
| ? [X1] : q(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( p(X1)
& q(X1) )
=> ( ? [X1] : p(X1)
& ? [X1] : q(X1) ) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) )
& ( ! [X1] :
( p(X1)
| c )
<=> ( ! [X1] : p(X1)
| c ) )
& ( ? [X1] :
( p(X1)
& c )
<=> ( ? [X1] : p(X1)
& c ) )
& ( ? [X1] : c
<=> c )
& ( ! [X1] : c
<=> c )
& ( ? [X1] :
( c
=> p(X1) )
<=> ( c
=> ? [X1] : p(X1) ) )
& ( ? [X1] :
( p(X1)
=> c )
<=> ( ! [X1] : p(X1)
=> c ) ) ) ),
introduced(definition) ).
fof(c_0_239,plain,
( ( epred4_0
& ( ! [X1] :
( p(X1)
| c )
<=> ( ! [X1] : p(X1)
| c ) )
& ( ? [X1] :
( p(X1)
& c )
<=> ( ? [X1] : p(X1)
& c ) ) )
=> epred5_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_235]),c_0_191]) ).
cnf(c_0_240,plain,
( p(esk22_0)
| epred4_0
| ~ p(X1)
| ~ p(esk20_0)
| ~ p(X2)
| ~ q(X3)
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_241,plain,
( epred4_0
| ~ p(X1)
| ~ p(X2)
| ~ p(esk20_0)
| ~ p(X3)
| ~ q(X4)
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_242,plain,
( epred4_0
| q(esk19_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_236]) ).
cnf(c_0_243,plain,
( epred4_0
| p(esk22_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_237]) ).
fof(c_0_244,plain,
( ( epred5_0
& ( ? [X1] : c
<=> c )
& ( ! [X1] : c
<=> c )
& ( ? [X1] :
( c
=> p(X1) )
<=> ( c
=> ? [X1] : p(X1) ) )
& ( ? [X1] :
( p(X1)
=> c )
<=> ( ! [X1] : p(X1)
=> c ) ) )
=> epred6_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_238]),c_0_235]) ).
fof(c_0_245,negated_conjecture,
~ ( epred6_0
& ( ! [X1] :
( c
=> p(X1) )
<=> ( c
=> ! [X1] : p(X1) ) )
& ( ! [X1] :
( p(X1)
=> c )
<=> ( ? [X1] : p(X1)
=> c ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_this])]),c_0_238]) ).
fof(c_0_246,plain,
! [X69,X70,X71,X72] :
( ( ~ p(X71)
| ~ c
| ~ p(X72)
| ~ c
| ~ p(esk24_0)
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| p(esk25_0)
| ~ p(esk24_0)
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( c
| p(esk25_0)
| ~ p(esk24_0)
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| c
| ~ p(esk24_0)
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( c
| c
| ~ p(esk24_0)
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p(X71)
| ~ c
| ~ p(X72)
| ~ c
| ~ c
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| p(esk25_0)
| ~ c
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( c
| p(esk25_0)
| ~ c
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| c
| ~ c
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( c
| c
| ~ c
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p(X71)
| ~ c
| ~ p(X72)
| ~ c
| ~ p(esk24_0)
| ~ c
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| p(esk25_0)
| ~ p(esk24_0)
| ~ c
| ~ epred4_0
| epred5_0 )
& ( c
| p(esk25_0)
| ~ p(esk24_0)
| ~ c
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| c
| ~ p(esk24_0)
| ~ c
| ~ epred4_0
| epred5_0 )
& ( c
| c
| ~ p(esk24_0)
| ~ c
| ~ epred4_0
| epred5_0 )
& ( ~ p(X71)
| ~ c
| ~ p(X72)
| ~ c
| ~ c
| ~ c
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| p(esk25_0)
| ~ c
| ~ c
| ~ epred4_0
| epred5_0 )
& ( c
| p(esk25_0)
| ~ c
| ~ c
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| c
| ~ c
| ~ c
| ~ epred4_0
| epred5_0 )
& ( c
| c
| ~ c
| ~ c
| ~ epred4_0
| epred5_0 )
& ( ~ p(X71)
| ~ c
| ~ p(X72)
| ~ c
| p(X69)
| c
| p(X70)
| c
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| p(esk25_0)
| p(X69)
| c
| p(X70)
| c
| ~ epred4_0
| epred5_0 )
& ( c
| p(esk25_0)
| p(X69)
| c
| p(X70)
| c
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| c
| p(X69)
| c
| p(X70)
| c
| ~ epred4_0
| epred5_0 )
& ( c
| c
| p(X69)
| c
| p(X70)
| c
| ~ epred4_0
| epred5_0 ) ),
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_239])])])])]) ).
cnf(c_0_247,plain,
( p(X2)
| q(esk19_0)
| epred4_0
| ~ p(X1)
| ~ p(esk20_0)
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_248,plain,
( q(esk19_0)
| epred4_0
| ~ p(X1)
| ~ p(X2)
| ~ p(esk20_0)
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_249,plain,
( p(esk22_0)
| p(X1)
| epred4_0
| ~ p(esk20_0)
| ~ p(X2)
| ~ q(X3)
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_250,plain,
( epred4_0
| ~ epred3_0
| ~ q(X1)
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X2)
| ~ p(X3) ),
inference(csr,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_251,plain,
( epred4_0
| p(X1)
| p(X2)
| p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_226,c_0_242]) ).
cnf(c_0_252,plain,
( epred4_0
| p(esk22_0) ),
inference(ef,[status(thm)],[c_0_243]) ).
fof(c_0_253,plain,
! [X75,X76,X79,X80] :
( ( p(X80)
| p(X79)
| c
| c
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X79)
| c
| c
| ~ epred5_0
| epred6_0 )
& ( p(X80)
| ~ c
| c
| c
| ~ epred5_0
| epred6_0 )
& ( ~ c
| ~ c
| c
| c
| ~ epred5_0
| epred6_0 )
& ( ~ p(esk29_0)
| c
| ~ p(esk30_0)
| c
| c
| c
| ~ epred5_0
| epred6_0 )
& ( p(X80)
| p(X79)
| ~ p(X76)
| c
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X79)
| ~ p(X76)
| c
| ~ epred5_0
| epred6_0 )
& ( p(X80)
| ~ c
| ~ p(X76)
| c
| ~ epred5_0
| epred6_0 )
& ( ~ c
| ~ c
| ~ p(X76)
| c
| ~ epred5_0
| epred6_0 )
& ( ~ p(esk29_0)
| c
| ~ p(esk30_0)
| c
| ~ p(X76)
| c
| ~ epred5_0
| epred6_0 )
& ( p(X80)
| p(X79)
| c
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X79)
| c
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( p(X80)
| ~ c
| c
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| ~ c
| c
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ p(esk29_0)
| c
| ~ p(esk30_0)
| c
| c
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( p(X80)
| p(X79)
| ~ p(X76)
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X79)
| ~ p(X76)
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( p(X80)
| ~ c
| ~ p(X76)
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| ~ c
| ~ p(X76)
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ p(esk29_0)
| c
| ~ p(esk30_0)
| c
| ~ p(X76)
| ~ p(X75)
| ~ epred5_0
| epred6_0 )
& ( p(X80)
| p(X79)
| ~ c
| p(esk27_0)
| ~ c
| p(esk28_0)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X79)
| ~ c
| p(esk27_0)
| ~ c
| p(esk28_0)
| ~ epred5_0
| epred6_0 )
& ( p(X80)
| ~ c
| ~ c
| p(esk27_0)
| ~ c
| p(esk28_0)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| ~ c
| ~ c
| p(esk27_0)
| ~ c
| p(esk28_0)
| ~ epred5_0
| epred6_0 )
& ( ~ p(esk29_0)
| c
| ~ p(esk30_0)
| c
| ~ c
| p(esk27_0)
| ~ c
| p(esk28_0)
| ~ epred5_0
| epred6_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_244])])])])])]) ).
fof(c_0_254,negated_conjecture,
! [X9,X10,X13,X14] :
( ( p(esk4_0)
| p(esk3_0)
| c
| c
| ~ epred6_0 )
& ( ~ c
| p(esk3_0)
| c
| c
| ~ epred6_0 )
& ( p(esk4_0)
| ~ c
| c
| c
| ~ epred6_0 )
& ( ~ c
| ~ c
| c
| c
| ~ epred6_0 )
& ( ~ p(X13)
| c
| ~ p(X14)
| c
| c
| c
| ~ epred6_0 )
& ( p(esk4_0)
| p(esk3_0)
| ~ p(esk2_0)
| c
| ~ epred6_0 )
& ( ~ c
| p(esk3_0)
| ~ p(esk2_0)
| c
| ~ epred6_0 )
& ( p(esk4_0)
| ~ c
| ~ p(esk2_0)
| c
| ~ epred6_0 )
& ( ~ c
| ~ c
| ~ p(esk2_0)
| c
| ~ epred6_0 )
& ( ~ p(X13)
| c
| ~ p(X14)
| c
| ~ p(esk2_0)
| c
| ~ epred6_0 )
& ( p(esk4_0)
| p(esk3_0)
| c
| ~ p(esk1_0)
| ~ epred6_0 )
& ( ~ c
| p(esk3_0)
| c
| ~ p(esk1_0)
| ~ epred6_0 )
& ( p(esk4_0)
| ~ c
| c
| ~ p(esk1_0)
| ~ epred6_0 )
& ( ~ c
| ~ c
| c
| ~ p(esk1_0)
| ~ epred6_0 )
& ( ~ p(X13)
| c
| ~ p(X14)
| c
| c
| ~ p(esk1_0)
| ~ epred6_0 )
& ( p(esk4_0)
| p(esk3_0)
| ~ p(esk2_0)
| ~ p(esk1_0)
| ~ epred6_0 )
& ( ~ c
| p(esk3_0)
| ~ p(esk2_0)
| ~ p(esk1_0)
| ~ epred6_0 )
& ( p(esk4_0)
| ~ c
| ~ p(esk2_0)
| ~ p(esk1_0)
| ~ epred6_0 )
& ( ~ c
| ~ c
| ~ p(esk2_0)
| ~ p(esk1_0)
| ~ epred6_0 )
& ( ~ p(X13)
| c
| ~ p(X14)
| c
| ~ p(esk2_0)
| ~ p(esk1_0)
| ~ epred6_0 )
& ( p(esk4_0)
| p(esk3_0)
| ~ c
| p(X9)
| ~ c
| p(X10)
| ~ epred6_0 )
& ( ~ c
| p(esk3_0)
| ~ c
| p(X9)
| ~ c
| p(X10)
| ~ epred6_0 )
& ( p(esk4_0)
| ~ c
| ~ c
| p(X9)
| ~ c
| p(X10)
| ~ epred6_0 )
& ( ~ c
| ~ c
| ~ c
| p(X9)
| ~ c
| p(X10)
| ~ epred6_0 )
& ( ~ p(X13)
| c
| ~ p(X14)
| c
| ~ c
| p(X9)
| ~ c
| p(X10)
| ~ epred6_0 ) ),
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_245])])])])]) ).
cnf(c_0_255,plain,
( epred5_0
| ~ p(X1)
| ~ c
| ~ p(X2)
| ~ c
| ~ c
| ~ c
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_256,plain,
( p(esk26_0)
| p(esk25_0)
| epred5_0
| ~ c
| ~ c
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_257,plain,
( p(esk22_0)
| p(esk19_0)
| epred4_0
| ~ p(X1)
| ~ p(esk20_0)
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_258,plain,
( p(esk19_0)
| epred4_0
| ~ p(X1)
| ~ p(X2)
| ~ p(esk20_0)
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_259,plain,
( epred4_0
| q(esk19_0)
| ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1) ),
inference(csr,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_260,plain,
( epred4_0
| ~ epred3_0
| ~ q(X1)
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_249,c_0_250]),c_0_250]) ).
cnf(c_0_261,plain,
( epred4_0
| p(X1)
| p(X2)
| p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_262,plain,
( p(esk27_0)
| p(esk28_0)
| epred6_0
| ~ c
| ~ c
| ~ c
| ~ c
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_263,negated_conjecture,
( p(X1)
| p(X2)
| ~ c
| ~ c
| ~ c
| ~ c
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_264,plain,
( epred5_0
| ~ c
| ~ epred4_0
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[c_0_255]) ).
cnf(c_0_265,plain,
( epred5_0
| p(esk25_0)
| p(esk26_0)
| ~ c
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_256]) ).
cnf(c_0_266,plain,
( p(esk22_0)
| p(X1)
| p(esk19_0)
| epred4_0
| ~ p(esk20_0)
| ~ p(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_267,plain,
( epred4_0
| p(esk19_0)
| ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1) ),
inference(csr,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_268,plain,
( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1) ),
inference(csr,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_269,plain,
( epred4_0
| p(X1)
| p(X2)
| p(X3) ),
inference(spm,[status(thm)],[c_0_261,c_0_252]) ).
cnf(c_0_270,plain,
( epred6_0
| ~ c
| ~ c
| ~ p(X1)
| ~ p(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_271,plain,
( epred6_0
| p(esk27_0)
| p(esk28_0)
| ~ c
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_262]) ).
cnf(c_0_272,negated_conjecture,
( p(X2)
| p(X1)
| ~ c
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_263]) ).
cnf(c_0_273,plain,
( c
| c
| p(X1)
| c
| p(X2)
| c
| epred5_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_274,plain,
( epred5_0
| ~ epred4_0
| ~ c
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_264]) ).
cnf(c_0_275,plain,
( epred4_0
| p(esk19_0)
| ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_266,c_0_267]),c_0_267]) ).
cnf(c_0_276,plain,
( epred4_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_208])]) ).
cnf(c_0_277,plain,
( epred4_0
| p(X1)
| p(X2) ),
inference(ef,[status(thm)],[c_0_269]) ).
cnf(c_0_278,plain,
( epred6_0
| ~ c
| ~ epred5_0
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[c_0_270]) ).
cnf(c_0_279,plain,
( p(esk27_0)
| p(esk28_0)
| ~ epred5_0
| ~ c ),
inference(csr,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_280,negated_conjecture,
( c
| c
| c
| c
| ~ p(X1)
| ~ p(X2)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_281,negated_conjecture,
( p(esk4_0)
| p(esk3_0)
| c
| c
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_282,plain,
( c
| c
| epred5_0
| ~ p(esk24_0)
| ~ p(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_283,plain,
( c
| epred5_0
| p(X2)
| p(X1)
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_273]) ).
cnf(c_0_284,plain,
( epred5_0
| ~ epred4_0
| ~ c ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_265]),c_0_274]) ).
cnf(c_0_285,plain,
( epred4_0
| ~ p(esk18_0)
| ~ p(esk20_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_208])]),c_0_276]) ).
cnf(c_0_286,plain,
( epred4_0
| p(X1) ),
inference(ef,[status(thm)],[c_0_277]) ).
cnf(c_0_287,plain,
( epred6_0
| ~ epred5_0
| ~ c
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_278]) ).
cnf(c_0_288,negated_conjecture,
( c
| ~ epred6_0
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[c_0_280]) ).
cnf(c_0_289,negated_conjecture,
( c
| p(esk3_0)
| p(esk4_0)
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_281]) ).
cnf(c_0_290,plain,
( c
| epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0) ),
inference(cn,[status(thm)],[c_0_282]) ).
cnf(c_0_291,plain,
( epred5_0
| p(X1)
| p(X2)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_292,plain,
epred4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_286]) ).
cnf(c_0_293,plain,
( epred6_0
| ~ epred5_0
| ~ c ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_279]),c_0_287]) ).
cnf(c_0_294,plain,
( p(X1)
| p(X2)
| c
| c
| epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_295,negated_conjecture,
( c
| ~ epred6_0
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_288]) ).
cnf(c_0_296,plain,
( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0) ),
inference(csr,[status(thm)],[c_0_290,c_0_264]) ).
cnf(c_0_297,plain,
( epred5_0
| p(X1)
| p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_292])]) ).
cnf(c_0_298,plain,
( epred6_0
| ~ epred4_0
| ~ c ),
inference(spm,[status(thm)],[c_0_293,c_0_284]) ).
cnf(c_0_299,plain,
( c
| epred6_0
| p(X2)
| p(X1)
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_294]) ).
cnf(c_0_300,negated_conjecture,
( c
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_289]),c_0_295]) ).
cnf(c_0_301,plain,
( epred5_0
| ~ p(esk23_0)
| ~ p(esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_292])]) ).
cnf(c_0_302,plain,
( epred5_0
| p(X1) ),
inference(ef,[status(thm)],[c_0_297]) ).
cnf(c_0_303,negated_conjecture,
( p(X1)
| p(X2)
| ~ epred4_0
| ~ c ),
inference(spm,[status(thm)],[c_0_272,c_0_298]) ).
cnf(c_0_304,plain,
( c
| c
| c
| c
| epred6_0
| ~ p(esk29_0)
| ~ p(esk30_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_305,negated_conjecture,
( ~ c
| ~ c
| ~ p(esk2_0)
| ~ p(esk1_0)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_306,plain,
( c
| p(X1)
| p(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_307,plain,
epred5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_302]) ).
cnf(c_0_308,negated_conjecture,
( p(X1)
| p(X2)
| ~ c ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_292])]) ).
cnf(c_0_309,plain,
( c
| epred6_0
| ~ epred5_0
| ~ p(esk29_0)
| ~ p(esk30_0) ),
inference(cn,[status(thm)],[c_0_304]) ).
cnf(c_0_310,negated_conjecture,
( ~ c
| ~ epred6_0
| ~ p(esk1_0)
| ~ p(esk2_0) ),
inference(cn,[status(thm)],[c_0_305]) ).
cnf(c_0_311,plain,
( p(X1)
| p(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_307])]),c_0_308]) ).
cnf(c_0_312,plain,
( epred6_0
| ~ epred5_0
| ~ p(esk29_0)
| ~ p(esk30_0) ),
inference(csr,[status(thm)],[c_0_309,c_0_278]) ).
cnf(c_0_313,negated_conjecture,
( p(X1)
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_311]),c_0_300]) ).
cnf(c_0_314,plain,
( epred6_0
| ~ p(esk29_0)
| ~ p(esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_307])]) ).
cnf(c_0_315,plain,
p(X1),
inference(ef,[status(thm)],[c_0_311]) ).
cnf(c_0_316,negated_conjecture,
~ epred6_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_313]),c_0_313]),c_0_300]) ).
cnf(c_0_317,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_315]),c_0_315])]),c_0_316]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN917+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 18:08:00 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.61 start to proof: theBenchmark
% 0.21/0.73 % Version : CSE_E---1.5
% 0.21/0.73 % Problem : theBenchmark.p
% 0.21/0.73 % Proof found
% 0.21/0.73 % SZS status Theorem for theBenchmark.p
% 0.21/0.73 % SZS output start Proof
% See solution above
% 0.21/0.76 % Total time : 0.118000 s
% 0.21/0.76 % SZS output end Proof
% 0.21/0.76 % Total time : 0.121000 s
%------------------------------------------------------------------------------