%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN917+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:30:32 PM UTC 2026
% Result : Theorem 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ( ! [X1] :
( p(X1)
=> c )
<=> ( ? [X1] : p(X1)
=> 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] : c
<=> c )
& ( ? [X1] : c
<=> c )
& ( ? [X1] :
( c
& p(X1) )
<=> ( c
& ? [X1] : p(X1) ) )
& ( ! [X1] :
( c
| p(X1) )
<=> ( c
| ! [X1] : p(X1) ) )
& ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ? [X1] :
( q(X1)
& p(X1) )
=> ( ? [X1] : q(X1)
& ? [X1] : p(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( q(X1)
| p(X1) )
<=> ( ? [X1] : q(X1)
| ? [X1] : p(X1) ) )
& ( ( ! [X1] : q(X1)
| ! [X1] : p(X1) )
=> ! [X1] :
( q(X1)
| p(X1) ) )
& ( ! [X1] :
( q(X1)
& p(X1) )
<=> ( ! [X1] : q(X1)
& ! [X1] : p(X1) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X1] :
( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) )
& ( ( ! [X1,X2,X4] :
( ( r(X2,X4)
& r(X1,X2) )
=> r(X1,X4) )
& ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ! [X1] :
( ( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X2] :
( ~ g(X2)
& f(X2) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(c_0_1,plain,
( epred1_0
<=> ( ( ( ! [X1,X2,X4] :
( ( r(X2,X4)
& r(X1,X2) )
=> r(X1,X4) )
& ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ! [X1] :
( ( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X2] :
( ~ g(X2)
& f(X2) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( ( ( ( ! [X1,X2,X4] :
( ( r(X2,X4)
& r(X1,X2) )
=> r(X1,X4) )
& ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ! [X1] :
( ( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X2] :
( ~ g(X2)
& f(X2) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) ) )
=> 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] :
( ( epred1_0
| h(X22)
| ~ g(X22)
| ~ f(X22)
| ~ r(esk6_0,esk6_0) )
& ( epred1_0
| h(X22)
| ~ g(X22)
| ~ f(X22)
| r(esk6_0,esk7_0) )
& ( epred1_0
| h(X22)
| ~ g(X22)
| ~ f(X22)
| r(X25,X27)
| ~ r(X26,X27)
| ~ r(X25,X26) )
& ( epred1_0
| h(X22)
| ~ g(X22)
| ~ f(X22)
| r(X24,X23)
| ~ r(X23,X24) )
& ( epred1_0
| g(X21)
| ~ h(X21)
| ~ f(X21)
| ~ r(esk6_0,esk6_0) )
& ( epred1_0
| g(X21)
| ~ h(X21)
| ~ f(X21)
| r(esk6_0,esk7_0) )
& ( epred1_0
| g(X21)
| ~ h(X21)
| ~ f(X21)
| r(X25,X27)
| ~ r(X26,X27)
| ~ r(X25,X26) )
& ( epred1_0
| g(X21)
| ~ h(X21)
| ~ f(X21)
| r(X24,X23)
| ~ r(X23,X24) )
& ( epred1_0
| h(X20)
| ~ f(X20)
| g(X19)
| ~ f(X19)
| ~ r(esk6_0,esk6_0) )
& ( epred1_0
| h(X20)
| ~ f(X20)
| g(X19)
| ~ f(X19)
| r(esk6_0,esk7_0) )
& ( epred1_0
| h(X20)
| ~ f(X20)
| g(X19)
| ~ f(X19)
| r(X25,X27)
| ~ r(X26,X27)
| ~ r(X25,X26) )
& ( epred1_0
| h(X20)
| ~ f(X20)
| g(X19)
| ~ f(X19)
| r(X24,X23)
| ~ r(X23,X24) )
& ( epred1_0
| ~ h(X17)
| ~ g(esk5_0)
| ~ r(esk6_0,esk6_0) )
& ( epred1_0
| ~ h(X17)
| ~ g(esk5_0)
| r(esk6_0,esk7_0) )
& ( epred1_0
| ~ h(X17)
| ~ g(esk5_0)
| r(X25,X27)
| ~ r(X26,X27)
| ~ r(X25,X26) )
& ( epred1_0
| ~ h(X17)
| ~ g(esk5_0)
| r(X24,X23)
| ~ r(X23,X24) )
& ( epred1_0
| ~ h(X17)
| f(esk5_0)
| ~ r(esk6_0,esk6_0) )
& ( epred1_0
| ~ h(X17)
| f(esk5_0)
| r(esk6_0,esk7_0) )
& ( epred1_0
| ~ h(X17)
| f(esk5_0)
| r(X25,X27)
| ~ r(X26,X27)
| ~ r(X25,X26) )
& ( epred1_0
| ~ h(X17)
| f(esk5_0)
| r(X24,X23)
| ~ r(X23,X24) )
& ( epred1_0
| g(X16)
| ~ g(esk5_0)
| ~ r(esk6_0,esk6_0) )
& ( epred1_0
| g(X16)
| ~ g(esk5_0)
| r(esk6_0,esk7_0) )
& ( epred1_0
| g(X16)
| ~ g(esk5_0)
| r(X25,X27)
| ~ r(X26,X27)
| ~ r(X25,X26) )
& ( epred1_0
| g(X16)
| ~ g(esk5_0)
| r(X24,X23)
| ~ r(X23,X24) )
& ( epred1_0
| g(X16)
| f(esk5_0)
| ~ r(esk6_0,esk6_0) )
& ( epred1_0
| g(X16)
| f(esk5_0)
| r(esk6_0,esk7_0) )
& ( epred1_0
| g(X16)
| f(esk5_0)
| r(X25,X27)
| ~ r(X26,X27)
| ~ r(X25,X26) )
& ( epred1_0
| g(X16)
| f(esk5_0)
| r(X24,X23)
| ~ r(X23,X24) )
& ( epred1_0
| f(X15)
| ~ g(esk5_0)
| ~ r(esk6_0,esk6_0) )
& ( epred1_0
| f(X15)
| ~ g(esk5_0)
| r(esk6_0,esk7_0) )
& ( epred1_0
| f(X15)
| ~ g(esk5_0)
| r(X25,X27)
| ~ r(X26,X27)
| ~ r(X25,X26) )
& ( epred1_0
| f(X15)
| ~ g(esk5_0)
| r(X24,X23)
| ~ r(X23,X24) )
& ( epred1_0
| f(X15)
| f(esk5_0)
| ~ r(esk6_0,esk6_0) )
& ( epred1_0
| f(X15)
| f(esk5_0)
| r(esk6_0,esk7_0) )
& ( epred1_0
| f(X15)
| f(esk5_0)
| r(X25,X27)
| ~ r(X26,X27)
| ~ r(X25,X26) )
& ( epred1_0
| f(X15)
| f(esk5_0)
| r(X24,X23)
| ~ r(X23,X24) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])]) ).
cnf(c_0_4,plain,
( ~ h(X1)
| epred1_0
| f(esk5_0)
| r(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,plain,
( ~ g(X1)
| ~ f(X1)
| epred1_0
| h(X1)
| r(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( epred1_0
| f(X1)
| f(esk5_0)
| r(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( epred1_0
| g(X1)
| f(esk5_0)
| r(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,plain,
( ~ r(X1,X2)
| epred1_0
| f(X3)
| f(esk5_0)
| r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,plain,
( f(esk5_0)
| r(esk6_0,esk7_0)
| epred1_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(X1,X2)
| epred1_0
| g(X3)
| f(esk5_0)
| r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,plain,
( ~ h(X3)
| ~ r(X1,X2)
| epred1_0
| f(esk5_0)
| r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,plain,
( ~ g(X3)
| ~ f(X3)
| ~ r(X1,X2)
| epred1_0
| h(X3)
| r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,plain,
( f(X1)
| f(esk5_0)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( f(esk5_0)
| g(X1)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_15,plain,
( ~ h(X1)
| f(esk5_0)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_16,plain,
( ~ r(X2,X3)
| ~ r(X1,X2)
| epred1_0
| f(X4)
| f(esk5_0)
| r(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,plain,
( f(esk5_0)
| r(esk7_0,esk6_0)
| epred1_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_18,plain,
( ~ h(X1)
| ~ r(esk6_0,esk6_0)
| epred1_0
| f(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_19,plain,
( ~ g(X1)
| ~ f(X1)
| ~ r(esk6_0,esk6_0)
| epred1_0
| h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,plain,
( ~ r(esk6_0,esk6_0)
| epred1_0
| f(X1)
| f(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,plain,
( ~ r(esk6_0,esk6_0)
| epred1_0
| g(X1)
| f(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,plain,
( ~ r(X1,esk7_0)
| f(X2)
| f(esk5_0)
| r(X1,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( ~ r(esk6_0,esk6_0)
| f(esk5_0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_24,plain,
( f(X1)
| f(esk5_0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_9]),c_0_23]) ).
cnf(c_0_25,plain,
( ~ f(X2)
| ~ f(X1)
| epred1_0
| h(X2)
| g(X1)
| r(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,plain,
( f(esk5_0)
| epred1_0 ),
inference(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_27,plain,
( ~ h(X1)
| ~ g(esk5_0)
| epred1_0
| r(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,plain,
( ~ g(esk5_0)
| epred1_0
| f(X1)
| r(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,plain,
( ~ g(esk5_0)
| epred1_0
| g(X1)
| r(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_30,plain,
( ~ f(X1)
| g(X1)
| h(esk5_0)
| r(esk6_0,esk7_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( ~ g(esk5_0)
| r(esk6_0,esk7_0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_5]),c_0_28]),c_0_29]) ).
cnf(c_0_32,plain,
( ~ h(X1)
| ~ f(X1)
| epred1_0
| g(X1)
| r(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_33,plain,
( h(esk5_0)
| r(esk6_0,esk7_0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_31]) ).
cnf(c_0_34,plain,
( ~ f(X4)
| ~ f(X3)
| ~ r(X1,X2)
| epred1_0
| h(X4)
| g(X3)
| r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_35,plain,
( r(esk6_0,esk7_0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26]),c_0_31]) ).
cnf(c_0_36,plain,
( ~ f(X2)
| ~ f(X1)
| g(X2)
| h(X1)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,plain,
( ~ h(X3)
| ~ g(esk5_0)
| ~ r(X1,X2)
| epred1_0
| r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_38,plain,
( ~ h(X3)
| ~ f(X3)
| ~ r(X1,X2)
| epred1_0
| g(X3)
| r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_39,plain,
( ~ f(X1)
| g(X1)
| h(esk5_0)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_26]) ).
cnf(c_0_40,plain,
( ~ g(esk5_0)
| ~ h(X1)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_41,plain,
( ~ f(X1)
| ~ g(X1)
| h(X1)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_12,c_0_35]) ).
cnf(c_0_42,plain,
( ~ f(X1)
| ~ h(X1)
| g(X1)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_43,plain,
( g(esk5_0)
| h(esk5_0)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_26]) ).
cnf(c_0_44,plain,
( ~ f(X1)
| ~ g(X1)
| ~ g(esk5_0)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
( g(esk5_0)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_26]) ).
cnf(c_0_46,plain,
( ~ f(X1)
| ~ g(X1)
| r(esk7_0,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,plain,
( ~ f(X5)
| ~ f(X4)
| ~ r(X2,X3)
| ~ r(X1,X2)
| epred1_0
| h(X5)
| g(X4)
| r(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_48,plain,
( r(esk7_0,esk6_0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_26]) ).
cnf(c_0_49,plain,
( ~ f(X3)
| ~ f(X2)
| ~ r(X1,esk7_0)
| g(X3)
| h(X2)
| r(X1,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,plain,
( ~ f(X2)
| ~ f(X1)
| ~ r(esk6_0,esk6_0)
| epred1_0
| h(X2)
| g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_51,plain,
( ~ h(X4)
| ~ g(esk5_0)
| ~ r(X2,X3)
| ~ r(X1,X2)
| epred1_0
| r(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_52,plain,
( ~ h(X1)
| ~ g(esk5_0)
| ~ r(esk6_0,esk6_0)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_53,plain,
( ~ g(esk5_0)
| ~ r(esk6_0,esk6_0)
| epred1_0
| f(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_54,plain,
( ~ g(esk5_0)
| ~ r(esk6_0,esk6_0)
| epred1_0
| g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_55,plain,
( ~ g(X4)
| ~ f(X4)
| ~ r(X2,X3)
| ~ r(X1,X2)
| epred1_0
| h(X4)
| r(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_56,plain,
( ~ h(X4)
| ~ f(X4)
| ~ r(X2,X3)
| ~ r(X1,X2)
| epred1_0
| g(X4)
| r(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_57,plain,
( ~ f(X2)
| ~ f(X1)
| g(X2)
| h(X1)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_50]) ).
fof(c_0_58,plain,
( epred2_0
<=> ( ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X1] :
( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) )
& ( ( ! [X1,X2,X4] :
( ( r(X2,X4)
& r(X1,X2) )
=> r(X1,X4) )
& ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ! [X1] :
( ( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X2] :
( ~ g(X2)
& f(X2) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_59,plain,
( ~ g(esk5_0)
| ~ h(X2)
| ~ r(X1,esk7_0)
| r(X1,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_48]) ).
cnf(c_0_60,plain,
( ~ g(esk5_0)
| ~ r(esk6_0,esk6_0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_19]),c_0_53]),c_0_54]) ).
cnf(c_0_61,plain,
( ~ f(X2)
| ~ g(X2)
| ~ r(X1,esk7_0)
| h(X2)
| r(X1,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_48]) ).
cnf(c_0_62,plain,
( ~ f(X2)
| ~ h(X2)
| ~ r(X1,esk7_0)
| g(X2)
| r(X1,esk6_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_48]) ).
cnf(c_0_63,plain,
( ~ h(X1)
| ~ f(X1)
| ~ r(esk6_0,esk6_0)
| epred1_0
| g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_64,plain,
( ~ f(X1)
| g(X1)
| h(esk5_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_57,c_0_26]) ).
fof(c_0_65,plain,
( ( ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X1] :
( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) )
& epred1_0 )
=> epred2_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_58]),c_0_1]) ).
cnf(c_0_66,plain,
( ~ g(esk5_0)
| ~ h(X1)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_35]),c_0_60]) ).
cnf(c_0_67,plain,
( ~ f(X1)
| ~ g(X1)
| h(X1)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_35]),c_0_19]) ).
cnf(c_0_68,plain,
( ~ f(X1)
| ~ h(X1)
| g(X1)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_35]),c_0_63]) ).
cnf(c_0_69,plain,
( g(esk5_0)
| h(esk5_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_26]) ).
fof(c_0_70,plain,
! [X32,X33,X34,X35,X37,X38,X39] :
( ( epred2_0
| ~ epred1_0
| h(X35)
| ~ g(X35)
| ~ f(X35)
| ~ q(X39) )
& ( epred2_0
| ~ epred1_0
| h(X35)
| ~ g(X35)
| ~ f(X35)
| p(X38) )
& ( epred2_0
| ~ epred1_0
| h(X35)
| ~ g(X35)
| ~ f(X35)
| q(X37)
| ~ p(esk10_0) )
& ( epred2_0
| ~ epred1_0
| g(X34)
| ~ h(X34)
| ~ f(X34)
| ~ q(X39) )
& ( epred2_0
| ~ epred1_0
| g(X34)
| ~ h(X34)
| ~ f(X34)
| p(X38) )
& ( epred2_0
| ~ epred1_0
| g(X34)
| ~ h(X34)
| ~ f(X34)
| q(X37)
| ~ p(esk10_0) )
& ( epred2_0
| ~ epred1_0
| h(X33)
| ~ f(X33)
| g(X32)
| ~ f(X32)
| ~ q(X39) )
& ( epred2_0
| ~ epred1_0
| h(X33)
| ~ f(X33)
| g(X32)
| ~ f(X32)
| p(X38) )
& ( epred2_0
| ~ epred1_0
| h(X33)
| ~ f(X33)
| g(X32)
| ~ f(X32)
| q(X37)
| ~ p(esk10_0) )
& ( epred2_0
| ~ epred1_0
| ~ h(esk8_0)
| ~ g(esk9_0)
| ~ q(X39) )
& ( epred2_0
| ~ epred1_0
| ~ h(esk8_0)
| ~ g(esk9_0)
| p(X38) )
& ( epred2_0
| ~ epred1_0
| ~ h(esk8_0)
| ~ g(esk9_0)
| q(X37)
| ~ p(esk10_0) )
& ( epred2_0
| ~ epred1_0
| ~ h(esk8_0)
| f(esk9_0)
| ~ q(X39) )
& ( epred2_0
| ~ epred1_0
| ~ h(esk8_0)
| f(esk9_0)
| p(X38) )
& ( epred2_0
| ~ epred1_0
| ~ h(esk8_0)
| f(esk9_0)
| q(X37)
| ~ p(esk10_0) )
& ( epred2_0
| ~ epred1_0
| g(esk8_0)
| ~ g(esk9_0)
| ~ q(X39) )
& ( epred2_0
| ~ epred1_0
| g(esk8_0)
| ~ g(esk9_0)
| p(X38) )
& ( epred2_0
| ~ epred1_0
| g(esk8_0)
| ~ g(esk9_0)
| q(X37)
| ~ p(esk10_0) )
& ( epred2_0
| ~ epred1_0
| g(esk8_0)
| f(esk9_0)
| ~ q(X39) )
& ( epred2_0
| ~ epred1_0
| g(esk8_0)
| f(esk9_0)
| p(X38) )
& ( epred2_0
| ~ epred1_0
| g(esk8_0)
| f(esk9_0)
| q(X37)
| ~ p(esk10_0) )
& ( epred2_0
| ~ epred1_0
| f(esk8_0)
| ~ g(esk9_0)
| ~ q(X39) )
& ( epred2_0
| ~ epred1_0
| f(esk8_0)
| ~ g(esk9_0)
| p(X38) )
& ( epred2_0
| ~ epred1_0
| f(esk8_0)
| ~ g(esk9_0)
| q(X37)
| ~ p(esk10_0) )
& ( epred2_0
| ~ epred1_0
| f(esk8_0)
| f(esk9_0)
| ~ q(X39) )
& ( epred2_0
| ~ epred1_0
| f(esk8_0)
| f(esk9_0)
| p(X38) )
& ( epred2_0
| ~ epred1_0
| f(esk8_0)
| f(esk9_0)
| q(X37)
| ~ p(esk10_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])])])])]) ).
cnf(c_0_71,plain,
( ~ f(X1)
| ~ g(X1)
| ~ g(esk5_0)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
( g(esk5_0)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_26]) ).
cnf(c_0_73,plain,
( ~ epred1_0
| ~ h(esk8_0)
| ~ p(esk10_0)
| epred2_0
| f(esk9_0)
| q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_74,plain,
( ~ epred1_0
| ~ h(esk8_0)
| epred2_0
| f(esk9_0)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_75,plain,
( ~ epred1_0
| ~ h(esk8_0)
| ~ q(X1)
| epred2_0
| f(esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,plain,
( ~ epred1_0
| ~ g(X2)
| ~ f(X2)
| ~ p(esk10_0)
| epred2_0
| h(X2)
| q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,plain,
( ~ epred1_0
| ~ g(X2)
| ~ f(X2)
| epred2_0
| h(X2)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_78,plain,
( ~ epred1_0
| ~ g(X2)
| ~ f(X2)
| ~ q(X1)
| epred2_0
| h(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,plain,
( ~ epred1_0
| ~ p(esk10_0)
| epred2_0
| f(esk8_0)
| f(esk9_0)
| q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_80,plain,
( ~ epred1_0
| epred2_0
| f(esk8_0)
| f(esk9_0)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_81,plain,
( ~ epred1_0
| ~ q(X1)
| epred2_0
| f(esk8_0)
| f(esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_82,plain,
( ~ epred1_0
| ~ p(esk10_0)
| epred2_0
| g(esk8_0)
| f(esk9_0)
| q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_83,plain,
( ~ epred1_0
| epred2_0
| g(esk8_0)
| f(esk9_0)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_84,plain,
( ~ epred1_0
| ~ q(X1)
| epred2_0
| g(esk8_0)
| f(esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_85,plain,
( ~ epred1_0
| ~ f(X3)
| ~ f(X2)
| ~ p(esk10_0)
| epred2_0
| h(X3)
| g(X2)
| q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_86,plain,
( ~ epred1_0
| ~ f(X3)
| ~ f(X2)
| epred2_0
| h(X3)
| g(X2)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_87,plain,
( ~ epred1_0
| ~ f(X3)
| ~ f(X2)
| ~ q(X1)
| epred2_0
| h(X3)
| g(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_88,plain,
( ~ f(X1)
| ~ g(X1)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_89,plain,
( ~ h(esk8_0)
| ~ epred1_0
| f(esk9_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_90,plain,
( ~ f(X1)
| ~ g(X1)
| ~ epred1_0
| h(X1)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_91,plain,
( ~ epred1_0
| f(esk8_0)
| f(esk9_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_92,plain,
( ~ epred1_0
| f(esk9_0)
| g(esk8_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_93,plain,
( ~ epred1_0
| ~ h(esk8_0)
| ~ g(esk9_0)
| ~ p(esk10_0)
| epred2_0
| q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_94,plain,
( ~ epred1_0
| ~ h(esk8_0)
| ~ g(esk9_0)
| epred2_0
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_95,plain,
( ~ epred1_0
| ~ h(esk8_0)
| ~ g(esk9_0)
| ~ q(X1)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_96,plain,
( ~ epred1_0
| ~ g(esk9_0)
| ~ p(esk10_0)
| epred2_0
| f(esk8_0)
| q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_97,plain,
( ~ epred1_0
| ~ g(esk9_0)
| epred2_0
| f(esk8_0)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_98,plain,
( ~ epred1_0
| ~ g(esk9_0)
| ~ q(X1)
| epred2_0
| f(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_99,plain,
( ~ epred1_0
| ~ g(esk9_0)
| ~ p(esk10_0)
| epred2_0
| g(esk8_0)
| q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_100,plain,
( ~ epred1_0
| ~ g(esk9_0)
| epred2_0
| g(esk8_0)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_101,plain,
( ~ epred1_0
| ~ g(esk9_0)
| ~ q(X1)
| epred2_0
| g(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_102,plain,
( ~ f(X2)
| ~ f(X1)
| ~ epred1_0
| g(X2)
| h(X1)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_103,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_72]),c_0_26]) ).
cnf(c_0_104,plain,
( ~ epred1_0
| f(esk9_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]) ).
cnf(c_0_105,plain,
( ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_106,plain,
( ~ g(esk9_0)
| ~ epred1_0
| f(esk8_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_107,plain,
( ~ g(esk9_0)
| ~ epred1_0
| g(esk8_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
fof(c_0_108,plain,
( epred3_0
<=> ( ( ? [X1] :
( q(X1)
| p(X1) )
<=> ( ? [X1] : q(X1)
| ? [X1] : p(X1) ) )
& ( ( ! [X1] : q(X1)
| ! [X1] : p(X1) )
=> ! [X1] :
( q(X1)
| p(X1) ) )
& ( ! [X1] :
( q(X1)
& p(X1) )
<=> ( ! [X1] : q(X1)
& ! [X1] : p(X1) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X1] :
( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) )
& ( ( ! [X1,X2,X4] :
( ( r(X2,X4)
& r(X1,X2) )
=> r(X1,X4) )
& ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ! [X1] :
( ( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X2] :
( ~ g(X2)
& f(X2) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_109,plain,
( ~ epred1_0
| ~ h(X2)
| ~ f(X2)
| ~ p(esk10_0)
| epred2_0
| g(X2)
| q(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_110,plain,
( ~ epred1_0
| ~ h(X2)
| ~ f(X2)
| epred2_0
| g(X2)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_111,plain,
( ~ epred1_0
| ~ h(X2)
| ~ f(X2)
| ~ q(X1)
| epred2_0
| g(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_112,plain,
( ~ f(X2)
| ~ f(X1)
| g(X2)
| h(X1)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).
cnf(c_0_113,plain,
( f(esk9_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_103])]) ).
cnf(c_0_114,plain,
( ~ g(esk9_0)
| ~ epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_90]),c_0_106]),c_0_107]) ).
fof(c_0_115,plain,
( ( ( ? [X1] :
( q(X1)
| p(X1) )
<=> ( ? [X1] : q(X1)
| ? [X1] : p(X1) ) )
& ( ( ! [X1] : q(X1)
| ! [X1] : p(X1) )
=> ! [X1] :
( q(X1)
| p(X1) ) )
& ( ! [X1] :
( q(X1)
& p(X1) )
<=> ( ! [X1] : q(X1)
& ! [X1] : p(X1) ) )
& epred2_0 )
=> epred3_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_108]),c_0_58]) ).
cnf(c_0_116,plain,
( ~ f(X1)
| ~ h(X1)
| ~ epred1_0
| g(X1)
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_117,plain,
( ~ f(X1)
| g(X1)
| h(esk9_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,plain,
( ~ g(esk9_0)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_103])]) ).
fof(c_0_119,plain,
! [X43,X44,X45,X46,X47,X49,X50,X51] :
( ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ q(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ q(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ q(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ q(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ q(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ p(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ p(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ p(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ p(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| ~ p(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| q(X47)
| p(X46)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| q(X45)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ q(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ q(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ q(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ q(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ q(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ p(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ p(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ p(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ p(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| ~ p(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| q(X47)
| p(X46)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| q(X43)
| p(X44)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ q(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ q(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ q(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ q(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ q(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ p(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ p(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ p(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ p(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| ~ p(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| q(X47)
| p(X46)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| q(X45)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ q(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ q(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ q(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ q(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ q(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ p(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ p(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ p(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ p(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| ~ p(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| q(X47)
| p(X46)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| p(X43)
| p(X44)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ q(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ q(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ q(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ q(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ q(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ p(esk14_0)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ p(esk14_0)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ p(esk14_0)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ p(esk14_0)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ p(esk14_0)
| ~ p(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| q(X47)
| p(X46)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| q(X47)
| p(X46)
| ~ q(X49)
| ~ p(X50) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ q(X51) )
& ( epred3_0
| ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| q(X47)
| p(X46)
| ~ p(X49)
| ~ p(X50) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])])])])]) ).
cnf(c_0_120,plain,
( ~ f(X1)
| ~ h(X1)
| g(X1)
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_103])]) ).
cnf(c_0_121,plain,
( h(esk9_0)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_113]),c_0_118]) ).
cnf(c_0_122,plain,
( ~ epred2_0
| epred3_0
| q(X4)
| q(X3)
| q(X2)
| p(X1)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_123,plain,
epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_113]),c_0_118]) ).
cnf(c_0_124,plain,
( p(X4)
| p(esk16_0)
| p(esk15_0)
| q(X3)
| q(X2)
| q(X1)
| q(esk17_0)
| q(esk15_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]) ).
cnf(c_0_125,plain,
( p(X3)
| p(esk15_0)
| p(esk16_0)
| q(X2)
| q(X1)
| q(esk15_0)
| q(esk17_0)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_124]) ).
cnf(c_0_126,plain,
( ~ epred2_0
| ~ q(X2)
| ~ q(X1)
| epred3_0
| q(X6)
| q(X5)
| q(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_127,plain,
( p(X2)
| p(esk16_0)
| p(esk15_0)
| q(X1)
| q(esk15_0)
| q(esk17_0)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_125]) ).
cnf(c_0_128,plain,
( ~ epred2_0
| ~ p(X2)
| ~ q(X1)
| epred3_0
| p(X6)
| p(X5)
| q(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_129,plain,
( ~ epred2_0
| ~ p(X2)
| ~ q(X1)
| epred3_0
| p(X6)
| q(X5)
| q(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_130,plain,
( ~ epred2_0
| ~ p(X2)
| ~ q(X1)
| epred3_0
| q(X6)
| q(X5)
| q(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_131,plain,
( ~ q(X6)
| ~ q(X5)
| p(X4)
| q(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_123])]) ).
cnf(c_0_132,plain,
( p(X1)
| p(esk15_0)
| p(esk16_0)
| q(esk15_0)
| q(esk17_0)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_127]) ).
cnf(c_0_133,plain,
( ~ p(X6)
| ~ q(X5)
| p(X4)
| p(X3)
| p(X2)
| q(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_123])]) ).
cnf(c_0_134,plain,
( ~ p(X6)
| ~ q(X5)
| p(X4)
| p(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_123])]) ).
cnf(c_0_135,plain,
( ~ p(X6)
| ~ q(X5)
| p(X4)
| q(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_123])]) ).
cnf(c_0_136,plain,
( ~ q(X3)
| p(esk16_0)
| q(X2)
| q(X1)
| q(esk15_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]),c_0_134]),c_0_135]),c_0_131]) ).
cnf(c_0_137,plain,
( p(X3)
| p(esk16_0)
| p(esk15_0)
| q(X2)
| q(X1)
| q(esk15_0)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_136,c_0_132]) ).
cnf(c_0_138,plain,
( ~ epred2_0
| ~ p(esk14_0)
| ~ q(X2)
| ~ q(X1)
| epred3_0
| p(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_139,plain,
( p(X2)
| p(esk15_0)
| p(esk16_0)
| q(X1)
| q(esk15_0)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_137]) ).
cnf(c_0_140,plain,
( ~ epred2_0
| ~ p(esk14_0)
| ~ p(X2)
| ~ q(X1)
| epred3_0
| p(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_141,plain,
( ~ epred2_0
| ~ p(X2)
| ~ p(X1)
| epred3_0
| p(X6)
| p(X5)
| q(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_142,plain,
( ~ epred2_0
| ~ p(X2)
| ~ p(X1)
| epred3_0
| p(X6)
| q(X5)
| q(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_143,plain,
( ~ p(esk14_0)
| ~ q(X4)
| ~ q(X3)
| p(X2)
| p(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_123])]) ).
cnf(c_0_144,plain,
( p(X1)
| p(esk16_0)
| p(esk15_0)
| q(esk15_0)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_139]) ).
cnf(c_0_145,plain,
( ~ p(X4)
| ~ p(esk14_0)
| ~ q(X3)
| p(X2)
| p(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_123])]) ).
cnf(c_0_146,plain,
( ~ epred2_0
| ~ p(esk14_0)
| epred3_0
| p(X2)
| p(X1)
| q(esk17_0)
| p(esk16_0)
| q(esk15_0)
| p(esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_147,plain,
( ~ p(X6)
| ~ p(X5)
| p(X4)
| p(X3)
| p(X2)
| q(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_123])]) ).
cnf(c_0_148,plain,
( ~ p(X6)
| ~ p(X5)
| p(X4)
| p(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_123])]) ).
cnf(c_0_149,plain,
( ~ p(esk14_0)
| ~ q(X1)
| p(esk15_0)
| p(esk16_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_145]),c_0_145]) ).
cnf(c_0_150,plain,
( ~ p(esk14_0)
| p(esk16_0)
| p(esk15_0)
| q(esk17_0)
| q(esk15_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_123])]),c_0_147]),c_0_148]) ).
cnf(c_0_151,plain,
( p(esk16_0)
| p(esk15_0)
| q(esk15_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_144]) ).
cnf(c_0_152,plain,
( ~ q(X4)
| p(esk15_0)
| q(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_151]),c_0_134]),c_0_135]) ).
cnf(c_0_153,plain,
( p(esk15_0)
| p(esk16_0)
| q(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_152,c_0_151]) ).
cnf(c_0_154,plain,
( ~ epred2_0
| ~ q(esk14_0)
| ~ q(X2)
| ~ q(X1)
| epred3_0
| p(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_155,plain,
( p(esk16_0)
| p(esk15_0)
| q(X2)
| q(X1)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_153]) ).
cnf(c_0_156,plain,
( ~ q(X4)
| ~ q(X3)
| ~ q(esk14_0)
| p(X2)
| p(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_123])]) ).
cnf(c_0_157,plain,
( p(esk15_0)
| p(esk16_0)
| q(X1)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_155]) ).
cnf(c_0_158,plain,
( p(X2)
| p(X1)
| p(esk16_0)
| p(esk15_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_157]),c_0_157]) ).
cnf(c_0_159,plain,
( ~ epred2_0
| ~ p(X2)
| ~ p(X1)
| epred3_0
| q(X6)
| q(X5)
| q(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_160,plain,
( p(X1)
| p(esk15_0)
| p(esk16_0)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_158]) ).
cnf(c_0_161,plain,
( ~ epred2_0
| ~ p(esk14_0)
| ~ p(X2)
| ~ p(X1)
| epred3_0
| p(X4)
| q(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_162,plain,
( ~ p(X6)
| ~ p(X5)
| p(X4)
| q(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_123])]) ).
cnf(c_0_163,plain,
( p(esk15_0)
| p(esk16_0)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_160]) ).
cnf(c_0_164,plain,
( ~ p(X4)
| ~ p(X3)
| ~ p(esk14_0)
| p(X2)
| q(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_123])]) ).
cnf(c_0_165,plain,
( ~ p(esk14_0)
| p(esk16_0)
| p(esk15_0)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_151]) ).
cnf(c_0_166,plain,
( ~ p(X4)
| p(esk15_0)
| q(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_162]) ).
fof(c_0_167,plain,
( epred4_0
<=> ( ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ? [X1] :
( q(X1)
& p(X1) )
=> ( ? [X1] : q(X1)
& ? [X1] : p(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( q(X1)
| p(X1) )
<=> ( ? [X1] : q(X1)
| ? [X1] : p(X1) ) )
& ( ( ! [X1] : q(X1)
| ! [X1] : p(X1) )
=> ! [X1] :
( q(X1)
| p(X1) ) )
& ( ! [X1] :
( q(X1)
& p(X1) )
<=> ( ! [X1] : q(X1)
& ! [X1] : p(X1) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X1] :
( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) )
& ( ( ! [X1,X2,X4] :
( ( r(X2,X4)
& r(X1,X2) )
=> r(X1,X4) )
& ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ! [X1] :
( ( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X2] :
( ~ g(X2)
& f(X2) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_168,plain,
( ~ epred2_0
| ~ q(esk13_0)
| ~ p(esk12_0)
| ~ q(esk11_0)
| ~ p(esk11_0)
| ~ q(esk14_0)
| ~ p(X2)
| ~ q(X1)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_169,plain,
( ~ p(X2)
| ~ p(esk14_0)
| p(esk15_0)
| q(X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_164]) ).
cnf(c_0_170,plain,
( ~ epred2_0
| ~ p(esk14_0)
| ~ p(X2)
| ~ p(X1)
| epred3_0
| p(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_171,plain,
( ~ epred2_0
| ~ q(esk14_0)
| ~ p(X2)
| ~ p(X1)
| epred3_0
| p(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_172,plain,
( ~ epred2_0
| ~ q(esk14_0)
| ~ p(X2)
| ~ q(X1)
| epred3_0
| p(X4)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_173,plain,
( p(esk15_0)
| q(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_163]) ).
fof(c_0_174,plain,
( ( ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ? [X1] :
( q(X1)
& p(X1) )
=> ( ? [X1] : q(X1)
& ? [X1] : p(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& epred3_0 )
=> epred4_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_167]),c_0_108]) ).
cnf(c_0_175,plain,
( ~ p(X2)
| ~ p(esk12_0)
| ~ p(esk11_0)
| ~ q(X1)
| ~ q(esk14_0)
| ~ q(esk13_0)
| ~ q(esk11_0)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_123])]) ).
cnf(c_0_176,plain,
( ~ p(esk14_0)
| p(esk15_0)
| q(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_165]) ).
cnf(c_0_177,plain,
( ~ p(X4)
| ~ p(X3)
| ~ p(esk14_0)
| p(X2)
| p(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_123])]) ).
cnf(c_0_178,plain,
( ~ p(X4)
| ~ p(X3)
| ~ q(esk14_0)
| p(X2)
| p(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_123])]) ).
cnf(c_0_179,plain,
( ~ p(X4)
| ~ q(X3)
| ~ q(esk14_0)
| p(X2)
| p(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_123])]) ).
cnf(c_0_180,plain,
( p(esk15_0)
| q(X2)
| q(X1)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_173]) ).
fof(c_0_181,plain,
! [X55,X58,X59,X61,X62,X63,X64] :
( ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| ~ p(esk20_0)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| ~ p(esk20_0)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| ~ p(esk20_0)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| p(X61)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| p(X61)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| p(X61)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| p(X61)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| p(X61)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| q(esk19_0)
| p(X61)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| ~ p(esk20_0)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| ~ p(esk20_0)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| ~ p(esk20_0)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| p(X61)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| p(X61)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| p(X61)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| p(X61)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| p(X61)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| p(esk19_0)
| p(X61)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| ~ p(esk20_0)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| ~ q(X59)
| ~ p(X58)
| p(X61)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| ~ p(esk20_0)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| ~ p(esk20_0)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| ~ p(esk20_0)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| p(X61)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| p(X61)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| p(X61)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| p(X61)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| p(X61)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| q(esk19_0)
| p(X61)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| ~ p(esk20_0)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| ~ p(esk20_0)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| ~ p(esk20_0)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| ~ p(esk20_0)
| p(X62)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| p(X61)
| ~ p(X63)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| p(X61)
| ~ p(X63)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| p(X61)
| ~ p(X63)
| ~ p(X64) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| p(X61)
| p(X62)
| ~ p(esk21_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| p(X61)
| p(X62)
| p(esk22_0) )
& ( epred4_0
| ~ epred3_0
| p(X55)
| p(esk19_0)
| p(X61)
| p(X62)
| ~ p(X64) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_174])])])])])])]) ).
cnf(c_0_182,plain,
( ~ q(X1)
| ~ q(esk14_0)
| ~ q(esk11_0)
| p(esk15_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]),c_0_178]),c_0_179]),c_0_156]) ).
cnf(c_0_183,plain,
( p(esk15_0)
| q(X1)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_180]) ).
cnf(c_0_184,plain,
( ~ epred3_0
| ~ p(esk18_0)
| epred4_0
| p(esk19_0)
| p(X2)
| p(X1)
| p(esk22_0) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_185,plain,
( ~ epred3_0
| epred4_0
| p(X3)
| p(esk19_0)
| p(X2)
| p(X1)
| p(esk22_0) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_186,plain,
( p(esk15_0)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_183]),c_0_183]) ).
cnf(c_0_187,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| epred4_0
| p(esk19_0)
| p(X1)
| p(esk22_0) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_188,plain,
( ~ epred3_0
| p(X2)
| p(X1)
| p(esk19_0)
| p(esk22_0)
| epred4_0 ),
inference(csr,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_189,plain,
( ~ p(X5)
| p(X4)
| q(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_162,c_0_186]) ).
cnf(c_0_190,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1)
| epred4_0
| p(esk19_0)
| p(esk22_0) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_191,plain,
( ~ epred3_0
| p(X1)
| p(esk19_0)
| p(esk22_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_187,c_0_188]),c_0_188]) ).
cnf(c_0_192,plain,
( p(X4)
| q(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_186]) ).
cnf(c_0_193,plain,
( ~ epred3_0
| ~ p(X1)
| epred4_0
| p(X4)
| p(esk19_0)
| p(X3)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_194,plain,
( ~ epred3_0
| p(esk19_0)
| p(esk22_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_190,c_0_191]),c_0_191]),c_0_191]) ).
cnf(c_0_195,plain,
( p(X3)
| q(X2)
| q(X1)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_192]) ).
cnf(c_0_196,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ p(X1)
| epred4_0
| p(esk19_0)
| p(X3)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_197,plain,
( ~ epred3_0
| p(X3)
| p(X2)
| p(X1)
| p(esk19_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_198,plain,
( ~ epred2_0
| ~ p(esk14_0)
| ~ p(X2)
| ~ p(X1)
| epred3_0
| q(X4)
| q(X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_199,plain,
( p(X2)
| q(X1)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_195]) ).
cnf(c_0_200,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1)
| epred4_0
| p(esk19_0)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_201,plain,
( ~ epred3_0
| p(X2)
| p(X1)
| p(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_196,c_0_197]),c_0_197]) ).
cnf(c_0_202,plain,
( ~ p(X4)
| ~ p(X3)
| ~ p(esk14_0)
| q(X2)
| q(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_123])]) ).
cnf(c_0_203,plain,
( p(X3)
| p(X2)
| p(X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_199]),c_0_199]),c_0_199]) ).
cnf(c_0_204,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1)
| ~ p(esk21_0)
| epred4_0
| p(esk19_0) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_205,plain,
( ~ epred3_0
| p(X1)
| p(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_200,c_0_201]),c_0_201]),c_0_201]) ).
cnf(c_0_206,plain,
( ~ p(X3)
| ~ p(esk14_0)
| q(X2)
| q(X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_165]),c_0_202]) ).
cnf(c_0_207,plain,
( p(X2)
| p(X1)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_203]) ).
cnf(c_0_208,plain,
( ~ epred3_0
| ~ p(esk20_0)
| ~ p(X1)
| epred4_0
| p(X3)
| q(esk19_0)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_209,plain,
( ~ epred3_0
| ~ p(X1)
| epred4_0
| p(X4)
| q(esk19_0)
| p(X3)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_210,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ p(X1)
| epred4_0
| q(esk19_0)
| p(X3)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_211,plain,
( ~ epred3_0
| p(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_204,c_0_205]),c_0_205]),c_0_205]),c_0_205]) ).
cnf(c_0_212,plain,
( ~ p(esk14_0)
| q(X2)
| q(X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_165]),c_0_206]) ).
cnf(c_0_213,plain,
( p(X1)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_207]) ).
cnf(c_0_214,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1)
| epred4_0
| q(esk19_0)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_215,plain,
( ~ p(esk20_0)
| ~ epred3_0
| p(X2)
| p(X1)
| q(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_216,plain,
( ~ p(esk18_0)
| ~ epred3_0
| p(X2)
| p(X1)
| q(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[c_0_210,c_0_209]) ).
cnf(c_0_217,plain,
( ~ epred3_0
| ~ p(X2)
| ~ p(X1)
| epred4_0
| p(X4)
| q(esk19_0)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_218,plain,
( ~ epred3_0
| p(X3)
| p(X2)
| p(X1)
| q(esk19_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_211]) ).
cnf(c_0_219,plain,
( q(X2)
| q(X1)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_220,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ q(X5)
| ~ p(X4)
| ~ p(X1)
| epred4_0
| p(X3)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_221,plain,
( ~ epred3_0
| ~ q(X5)
| ~ p(X4)
| ~ p(X1)
| epred4_0
| p(X6)
| p(X3)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_222,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1)
| ~ p(esk21_0)
| epred4_0
| q(esk19_0) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_223,plain,
( ~ p(esk18_0)
| ~ epred3_0
| p(X1)
| q(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).
cnf(c_0_224,plain,
( ~ epred3_0
| ~ p(esk20_0)
| ~ p(X2)
| ~ p(X1)
| epred4_0
| p(X3)
| q(esk19_0) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_225,plain,
( ~ epred3_0
| p(X2)
| p(X1)
| q(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_217,c_0_218]),c_0_218]) ).
cnf(c_0_226,plain,
( q(X1)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_219]) ).
cnf(c_0_227,plain,
( ~ p(X4)
| ~ p(esk18_0)
| ~ q(X3)
| ~ epred3_0
| p(X2)
| p(X1)
| epred4_0 ),
inference(csr,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_228,plain,
( ~ p(esk18_0)
| ~ epred3_0
| q(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_222,c_0_223]),c_0_223]),c_0_223]) ).
cnf(c_0_229,plain,
( ~ epred3_0
| ~ q(X5)
| ~ p(X4)
| ~ p(X2)
| ~ p(X1)
| epred4_0
| p(X6)
| p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_230,plain,
( ~ epred3_0
| p(X1)
| q(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_224,c_0_225]),c_0_225]),c_0_225]) ).
cnf(c_0_231,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_175,c_0_226]),c_0_213]),c_0_213]),c_0_213]),c_0_226]),c_0_226]),c_0_226]) ).
fof(c_0_232,plain,
( epred5_0
<=> ( ( ? [X1] :
( c
& p(X1) )
<=> ( c
& ? [X1] : p(X1) ) )
& ( ! [X1] :
( c
| p(X1) )
<=> ( c
| ! [X1] : p(X1) ) )
& ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ? [X1] :
( q(X1)
& p(X1) )
=> ( ? [X1] : q(X1)
& ? [X1] : p(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( q(X1)
| p(X1) )
<=> ( ? [X1] : q(X1)
| ? [X1] : p(X1) ) )
& ( ( ! [X1] : q(X1)
| ! [X1] : p(X1) )
=> ! [X1] :
( q(X1)
| p(X1) ) )
& ( ! [X1] :
( q(X1)
& p(X1) )
<=> ( ! [X1] : q(X1)
& ! [X1] : p(X1) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X1] :
( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) )
& ( ( ! [X1,X2,X4] :
( ( r(X2,X4)
& r(X1,X2) )
=> r(X1,X4) )
& ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ! [X1] :
( ( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X2] :
( ~ g(X2)
& f(X2) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_233,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ q(X4)
| ~ p(X3)
| ~ p(esk20_0)
| ~ p(X1)
| epred4_0
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_234,plain,
( ~ p(X3)
| ~ p(esk18_0)
| ~ epred3_0
| p(X2)
| p(X1)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_235,plain,
( ~ p(X5)
| ~ p(X4)
| ~ q(X3)
| ~ epred3_0
| p(X2)
| p(X1)
| epred4_0 ),
inference(csr,[status(thm)],[c_0_229,c_0_221]) ).
cnf(c_0_236,plain,
( p(X1)
| q(esk19_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_231])]) ).
fof(c_0_237,plain,
( epred6_0
<=> ( ( ? [X1] :
( p(X1)
=> c )
<=> ( ! [X1] : p(X1)
=> c ) )
& ( ? [X1] :
( c
=> p(X1) )
<=> ( c
=> ? [X1] : p(X1) ) )
& ( ! [X1] : c
<=> c )
& ( ? [X1] : c
<=> c )
& ( ? [X1] :
( c
& p(X1) )
<=> ( c
& ? [X1] : p(X1) ) )
& ( ! [X1] :
( c
| p(X1) )
<=> ( c
| ! [X1] : p(X1) ) )
& ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ? [X1] :
( q(X1)
& p(X1) )
=> ( ? [X1] : q(X1)
& ? [X1] : p(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( q(X1)
| p(X1) )
<=> ( ? [X1] : q(X1)
| ? [X1] : p(X1) ) )
& ( ( ! [X1] : q(X1)
| ! [X1] : p(X1) )
=> ! [X1] :
( q(X1)
| p(X1) ) )
& ( ! [X1] :
( q(X1)
& p(X1) )
<=> ( ! [X1] : q(X1)
& ! [X1] : p(X1) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X1] :
( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) )
& ( ( ! [X1,X2,X4] :
( ( r(X2,X4)
& r(X1,X2) )
=> r(X1,X4) )
& ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ! [X1] :
( ( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X2] :
( ~ g(X2)
& f(X2) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) ) ) ),
introduced(definition) ).
fof(c_0_238,negated_conjecture,
~ ( ( ! [X1] :
( p(X1)
=> c )
<=> ( ? [X1] : p(X1)
=> 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] : c
<=> c )
& ( ? [X1] : c
<=> c )
& ( ? [X1] :
( c
& p(X1) )
<=> ( c
& ? [X1] : p(X1) ) )
& ( ! [X1] :
( c
| p(X1) )
<=> ( c
| ! [X1] : p(X1) ) )
& ( ~ ? [X2] : p(X2)
=> ! [X2] :
( ? [X1] : p(X1)
=> p(X2) ) )
& ( ! [X1] : p(X1)
=> ? [X1] : p(X1) )
& ! [X2] :
( ! [X1] : p(X1)
=> p(X2) )
& ( ? [X1] :
( q(X1)
& p(X1) )
=> ( ? [X1] : q(X1)
& ? [X1] : p(X1) ) )
& ? [X2] :
( p(X2)
=> ! [X1] : p(X1) )
& ( ? [X1] :
( q(X1)
| p(X1) )
<=> ( ? [X1] : q(X1)
| ? [X1] : p(X1) ) )
& ( ( ! [X1] : q(X1)
| ! [X1] : p(X1) )
=> ! [X1] :
( q(X1)
| p(X1) ) )
& ( ! [X1] :
( q(X1)
& p(X1) )
<=> ( ! [X1] : q(X1)
& ! [X1] : p(X1) ) )
& ? [X1] :
! [X2] :
( ( p(X2)
=> q(X1) )
=> ( p(X1)
=> q(X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X1] :
( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) )
& ( ( ! [X1,X2,X4] :
( ( r(X2,X4)
& r(X1,X2) )
=> r(X1,X4) )
& ! [X1,X2] :
( r(X1,X2)
=> r(X2,X1) ) )
=> ! [X1,X2] :
( r(X1,X2)
=> r(X1,X1) ) )
& ( ( ( ! [X4] :
( f(X4)
=> h(X4) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ! [X1] :
( ( ( g(X1)
& f(X1) )
=> h(X1) )
=> ? [X2] :
( ~ g(X2)
& f(X2) ) ) )
=> ( ! [X5] :
( ( h(X5)
& f(X5) )
=> g(X5) )
=> ? [X6] :
( ~ h(X6)
& g(X6)
& f(X6) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_239,plain,
( ( ( ? [X1] :
( c
& p(X1) )
<=> ( c
& ? [X1] : p(X1) ) )
& ( ! [X1] :
( c
| p(X1) )
<=> ( c
| ! [X1] : p(X1) ) )
& epred4_0 )
=> epred5_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_232]),c_0_167]) ).
cnf(c_0_240,plain,
( ~ p(esk20_0)
| ~ p(esk18_0)
| ~ q(X2)
| ~ epred3_0
| p(X1)
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_233,c_0_234]),c_0_234]) ).
cnf(c_0_241,plain,
( ~ p(X5)
| ~ p(X4)
| ~ q(X3)
| p(X2)
| p(X1)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_231])]) ).
cnf(c_0_242,plain,
( q(esk19_0)
| epred4_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_231])]),c_0_236]) ).
fof(c_0_243,plain,
( ( ( ? [X1] :
( p(X1)
=> c )
<=> ( ! [X1] : p(X1)
=> c ) )
& ( ? [X1] :
( c
=> p(X1) )
<=> ( c
=> ? [X1] : p(X1) ) )
& ( ! [X1] : c
<=> c )
& ( ? [X1] : c
<=> c )
& epred5_0 )
=> epred6_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_237]),c_0_232]) ).
fof(c_0_244,negated_conjecture,
~ ( ( ! [X1] :
( p(X1)
=> c )
<=> ( ? [X1] : p(X1)
=> c ) )
& ( ! [X1] :
( c
=> p(X1) )
<=> ( c
=> ! [X1] : p(X1) ) )
& epred6_0 ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_238]),c_0_237]) ).
fof(c_0_245,plain,
! [X69,X70,X71,X72] :
( ( epred5_0
| ~ epred4_0
| c
| p(X70)
| c
| p(X69)
| c
| c )
& ( epred5_0
| ~ epred4_0
| c
| p(X70)
| c
| p(X69)
| c
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| c
| p(X70)
| c
| p(X69)
| p(esk25_0)
| c )
& ( epred5_0
| ~ epred4_0
| c
| p(X70)
| c
| p(X69)
| p(esk25_0)
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| c
| p(X70)
| c
| p(X69)
| ~ c
| ~ p(X72)
| ~ c
| ~ p(X71) )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ c
| c
| c )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ c
| c
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ c
| p(esk25_0)
| c )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ c
| p(esk25_0)
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ c
| ~ c
| ~ p(X72)
| ~ c
| ~ p(X71) )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ p(esk24_0)
| c
| c )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ p(esk24_0)
| c
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ p(esk24_0)
| p(esk25_0)
| c )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ p(esk24_0)
| p(esk25_0)
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| ~ c
| ~ p(esk24_0)
| ~ c
| ~ p(X72)
| ~ c
| ~ p(X71) )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ c
| c
| c )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ c
| c
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ c
| p(esk25_0)
| c )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ c
| p(esk25_0)
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ c
| ~ c
| ~ p(X72)
| ~ c
| ~ p(X71) )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0)
| c
| c )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0)
| c
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0)
| p(esk25_0)
| c )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0)
| p(esk25_0)
| p(esk26_0) )
& ( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0)
| ~ c
| ~ p(X72)
| ~ c
| ~ p(X71) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_239])])])])])]) ).
cnf(c_0_246,plain,
( ~ epred3_0
| ~ p(esk18_0)
| ~ q(X3)
| ~ p(X2)
| ~ p(esk20_0)
| ~ p(X1)
| ~ p(esk21_0)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_247,plain,
( ~ p(esk20_0)
| ~ p(esk18_0)
| ~ epred3_0
| p(X1)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_228]) ).
cnf(c_0_248,plain,
( ~ p(X4)
| ~ p(X3)
| p(X2)
| p(X1)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_249,plain,
( p(esk19_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_231])]) ).
fof(c_0_250,plain,
! [X75,X76,X79,X80] :
( ( epred6_0
| ~ epred5_0
| p(esk28_0)
| ~ c
| p(esk27_0)
| ~ c
| c
| ~ p(esk30_0)
| c
| ~ p(esk29_0) )
& ( epred6_0
| ~ epred5_0
| p(esk28_0)
| ~ c
| p(esk27_0)
| ~ c
| ~ c
| ~ c )
& ( epred6_0
| ~ epred5_0
| p(esk28_0)
| ~ c
| p(esk27_0)
| ~ c
| ~ c
| p(X80) )
& ( epred6_0
| ~ epred5_0
| p(esk28_0)
| ~ c
| p(esk27_0)
| ~ c
| p(X79)
| ~ c )
& ( epred6_0
| ~ epred5_0
| p(esk28_0)
| ~ c
| p(esk27_0)
| ~ c
| p(X79)
| p(X80) )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| ~ p(X76)
| c
| ~ p(esk30_0)
| c
| ~ p(esk29_0) )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| ~ p(X76)
| ~ c
| ~ c )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| ~ p(X76)
| ~ c
| p(X80) )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| ~ p(X76)
| p(X79)
| ~ c )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| ~ p(X76)
| p(X79)
| p(X80) )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| c
| c
| ~ p(esk30_0)
| c
| ~ p(esk29_0) )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| c
| ~ c
| ~ c )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| c
| ~ c
| p(X80) )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| c
| p(X79)
| ~ c )
& ( epred6_0
| ~ epred5_0
| ~ p(X75)
| c
| p(X79)
| p(X80) )
& ( epred6_0
| ~ epred5_0
| c
| ~ p(X76)
| c
| ~ p(esk30_0)
| c
| ~ p(esk29_0) )
& ( epred6_0
| ~ epred5_0
| c
| ~ p(X76)
| ~ c
| ~ c )
& ( epred6_0
| ~ epred5_0
| c
| ~ p(X76)
| ~ c
| p(X80) )
& ( epred6_0
| ~ epred5_0
| c
| ~ p(X76)
| p(X79)
| ~ c )
& ( epred6_0
| ~ epred5_0
| c
| ~ p(X76)
| p(X79)
| p(X80) )
& ( epred6_0
| ~ epred5_0
| c
| c
| c
| ~ p(esk30_0)
| c
| ~ p(esk29_0) )
& ( epred6_0
| ~ epred5_0
| c
| c
| ~ c
| ~ c )
& ( epred6_0
| ~ epred5_0
| c
| c
| ~ c
| p(X80) )
& ( epred6_0
| ~ epred5_0
| c
| c
| p(X79)
| ~ c )
& ( epred6_0
| ~ epred5_0
| c
| c
| p(X79)
| p(X80) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_243])])])])])])]) ).
fof(c_0_251,negated_conjecture,
! [X9,X10,X13,X14] :
( ( ~ epred6_0
| p(X10)
| ~ c
| p(X9)
| ~ c
| c
| ~ p(X14)
| c
| ~ p(X13) )
& ( ~ epred6_0
| p(X10)
| ~ c
| p(X9)
| ~ c
| ~ c
| ~ c )
& ( ~ epred6_0
| p(X10)
| ~ c
| p(X9)
| ~ c
| ~ c
| p(esk4_0) )
& ( ~ epred6_0
| p(X10)
| ~ c
| p(X9)
| ~ c
| p(esk3_0)
| ~ c )
& ( ~ epred6_0
| p(X10)
| ~ c
| p(X9)
| ~ c
| p(esk3_0)
| p(esk4_0) )
& ( ~ epred6_0
| ~ p(esk1_0)
| ~ p(esk2_0)
| c
| ~ p(X14)
| c
| ~ p(X13) )
& ( ~ epred6_0
| ~ p(esk1_0)
| ~ p(esk2_0)
| ~ c
| ~ c )
& ( ~ epred6_0
| ~ p(esk1_0)
| ~ p(esk2_0)
| ~ c
| p(esk4_0) )
& ( ~ epred6_0
| ~ p(esk1_0)
| ~ p(esk2_0)
| p(esk3_0)
| ~ c )
& ( ~ epred6_0
| ~ p(esk1_0)
| ~ p(esk2_0)
| p(esk3_0)
| p(esk4_0) )
& ( ~ epred6_0
| ~ p(esk1_0)
| c
| c
| ~ p(X14)
| c
| ~ p(X13) )
& ( ~ epred6_0
| ~ p(esk1_0)
| c
| ~ c
| ~ c )
& ( ~ epred6_0
| ~ p(esk1_0)
| c
| ~ c
| p(esk4_0) )
& ( ~ epred6_0
| ~ p(esk1_0)
| c
| p(esk3_0)
| ~ c )
& ( ~ epred6_0
| ~ p(esk1_0)
| c
| p(esk3_0)
| p(esk4_0) )
& ( ~ epred6_0
| c
| ~ p(esk2_0)
| c
| ~ p(X14)
| c
| ~ p(X13) )
& ( ~ epred6_0
| c
| ~ p(esk2_0)
| ~ c
| ~ c )
& ( ~ epred6_0
| c
| ~ p(esk2_0)
| ~ c
| p(esk4_0) )
& ( ~ epred6_0
| c
| ~ p(esk2_0)
| p(esk3_0)
| ~ c )
& ( ~ epred6_0
| c
| ~ p(esk2_0)
| p(esk3_0)
| p(esk4_0) )
& ( ~ epred6_0
| c
| c
| c
| ~ p(X14)
| c
| ~ p(X13) )
& ( ~ epred6_0
| c
| c
| ~ c
| ~ c )
& ( ~ epred6_0
| c
| c
| ~ c
| p(esk4_0) )
& ( ~ epred6_0
| c
| c
| p(esk3_0)
| ~ c )
& ( ~ epred6_0
| c
| c
| p(esk3_0)
| p(esk4_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_244])])])])])]) ).
cnf(c_0_252,plain,
( ~ epred4_0
| ~ c
| ~ c
| ~ c
| ~ p(X2)
| ~ c
| ~ p(X1)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_245]) ).
cnf(c_0_253,plain,
( ~ epred4_0
| ~ c
| ~ c
| epred5_0
| p(esk25_0)
| p(esk26_0) ),
inference(split_conjunct,[status(thm)],[c_0_245]) ).
cnf(c_0_254,plain,
( ~ p(esk20_0)
| ~ p(esk18_0)
| ~ q(X1)
| ~ epred3_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_246,c_0_247]),c_0_247]),c_0_247]) ).
cnf(c_0_255,plain,
( ~ p(X3)
| p(X2)
| p(X1)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_256,plain,
( ~ epred5_0
| ~ c
| ~ c
| ~ c
| ~ c
| epred6_0
| p(esk28_0)
| p(esk27_0) ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_257,negated_conjecture,
( ~ epred6_0
| ~ c
| ~ c
| ~ c
| ~ c
| p(X2)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_258,plain,
( ~ p(X1)
| ~ p(X2)
| ~ epred4_0
| ~ c
| epred5_0 ),
inference(cn,[status(thm)],[c_0_252]) ).
cnf(c_0_259,plain,
( ~ epred4_0
| ~ c
| p(esk26_0)
| p(esk25_0)
| epred5_0 ),
inference(cn,[status(thm)],[c_0_253]) ).
cnf(c_0_260,plain,
( ~ p(esk20_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_228]) ).
cnf(c_0_261,plain,
( p(X2)
| p(X1)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_255,c_0_249]) ).
cnf(c_0_262,plain,
( ~ epred5_0
| ~ p(X2)
| ~ p(X1)
| ~ c
| ~ c
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_263,plain,
( ~ epred5_0
| ~ c
| p(esk28_0)
| p(esk27_0)
| epred6_0 ),
inference(cn,[status(thm)],[c_0_256]) ).
cnf(c_0_264,negated_conjecture,
( ~ epred6_0
| ~ c
| p(X1)
| p(X2) ),
inference(cn,[status(thm)],[c_0_257]) ).
cnf(c_0_265,plain,
( ~ p(X1)
| ~ c
| ~ epred4_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_258]) ).
cnf(c_0_266,plain,
( ~ p(esk20_0)
| ~ p(esk18_0)
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_231])]) ).
cnf(c_0_267,plain,
( p(X1)
| epred4_0 ),
inference(ef,[status(thm)],[c_0_261]) ).
cnf(c_0_268,plain,
( ~ p(X1)
| ~ p(X2)
| ~ epred5_0
| ~ c
| epred6_0 ),
inference(cn,[status(thm)],[c_0_262]) ).
cnf(c_0_269,plain,
( ~ c
| ~ epred5_0
| p(esk27_0)
| p(esk28_0) ),
inference(csr,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_270,negated_conjecture,
( ~ epred6_0
| ~ p(X2)
| ~ p(X1)
| c
| c
| c
| c ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_271,negated_conjecture,
( ~ epred6_0
| c
| c
| p(esk3_0)
| p(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_272,plain,
( ~ epred4_0
| epred5_0
| c
| p(X2)
| c
| p(X1)
| c
| c ),
inference(split_conjunct,[status(thm)],[c_0_245]) ).
cnf(c_0_273,plain,
( ~ c
| ~ epred4_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_259]),c_0_265]) ).
cnf(c_0_274,plain,
epred4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_267]) ).
cnf(c_0_275,plain,
( ~ p(X1)
| ~ c
| ~ epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_268]) ).
cnf(c_0_276,negated_conjecture,
( ~ p(X1)
| ~ p(X2)
| ~ epred6_0
| c ),
inference(cn,[status(thm)],[c_0_270]) ).
cnf(c_0_277,negated_conjecture,
( ~ epred6_0
| p(esk4_0)
| p(esk3_0)
| c ),
inference(cn,[status(thm)],[c_0_271]) ).
cnf(c_0_278,plain,
( ~ epred4_0
| p(X1)
| p(X2)
| epred5_0
| c ),
inference(cn,[status(thm)],[c_0_272]) ).
cnf(c_0_279,plain,
( ~ c
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_274])]) ).
cnf(c_0_280,plain,
( ~ c
| ~ epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_269]),c_0_275]) ).
cnf(c_0_281,plain,
( ~ epred5_0
| epred6_0
| c
| c
| p(X2)
| p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_282,negated_conjecture,
( ~ p(X1)
| ~ epred6_0
| c ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_276]) ).
cnf(c_0_283,plain,
( ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0)
| epred5_0
| c
| c ),
inference(split_conjunct,[status(thm)],[c_0_245]) ).
cnf(c_0_284,plain,
( p(X2)
| p(X1)
| epred5_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_274])]),c_0_279]) ).
cnf(c_0_285,plain,
( ~ c
| ~ epred4_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_280,c_0_273]) ).
cnf(c_0_286,plain,
( ~ epred5_0
| p(X1)
| p(X2)
| epred6_0
| c ),
inference(cn,[status(thm)],[c_0_281]) ).
cnf(c_0_287,negated_conjecture,
( ~ epred6_0
| c ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_277]),c_0_282]) ).
cnf(c_0_288,plain,
( ~ p(esk24_0)
| ~ p(esk23_0)
| ~ epred4_0
| epred5_0
| c ),
inference(cn,[status(thm)],[c_0_283]) ).
cnf(c_0_289,plain,
( p(X1)
| epred5_0 ),
inference(ef,[status(thm)],[c_0_284]) ).
cnf(c_0_290,negated_conjecture,
( ~ c
| ~ epred4_0
| p(X2)
| p(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_285]) ).
cnf(c_0_291,plain,
( ~ epred5_0
| p(X2)
| p(X1)
| c ),
inference(csr,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_292,plain,
epred5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_274])]),c_0_289]),c_0_289]),c_0_279]) ).
cnf(c_0_293,negated_conjecture,
( ~ c
| p(X2)
| p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_274])]) ).
cnf(c_0_294,negated_conjecture,
( ~ epred6_0
| ~ p(esk1_0)
| ~ p(esk2_0)
| ~ c
| ~ c ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_295,plain,
( p(X2)
| p(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_292])]),c_0_293]) ).
cnf(c_0_296,plain,
( ~ epred5_0
| ~ p(esk30_0)
| ~ p(esk29_0)
| epred6_0
| c
| c
| c
| c ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_297,negated_conjecture,
( ~ p(esk2_0)
| ~ p(esk1_0)
| ~ epred6_0
| ~ c ),
inference(cn,[status(thm)],[c_0_294]) ).
cnf(c_0_298,plain,
p(X1),
inference(ef,[status(thm)],[c_0_295]) ).
cnf(c_0_299,plain,
( ~ p(esk30_0)
| ~ p(esk29_0)
| ~ epred5_0
| epred6_0
| c ),
inference(cn,[status(thm)],[c_0_296]) ).
cnf(c_0_300,negated_conjecture,
~ epred6_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_298]),c_0_298])]),c_0_287]) ).
cnf(c_0_301,plain,
( ~ c
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_274])]) ).
cnf(c_0_302,plain,
( ~ p(esk30_0)
| ~ p(esk29_0)
| ~ epred5_0
| c ),
inference(csr,[status(thm)],[c_0_299,c_0_287]) ).
cnf(c_0_303,plain,
~ c,
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_304,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_292])]),c_0_298]),c_0_298])]),c_0_303]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN917+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:31:16 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.48 % Version: 3.5.1
% 0.15/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.48 % Starting sh5l with 300s (1) cores
% 0.15/0.48 % new_bool_1 with pid 4174014 completed with status 0
% 0.15/0.48 % Result found by new_bool_1
% 0.15/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.48 % Search class: FGHNF-FSLF00-SFFFFFNN
% 0.15/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.48 % SubtermCWHack with pid 4174020 completed with status 0
% 0.15/0.48 % Result found by SubtermCWHack
% 0.15/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.48 % Search class: FGHNF-FSLF00-SFFFFFNN
% 0.15/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.48 % Preprocessing time : 0.002 s
% 0.15/0.48
% 0.15/0.48 % Proof found!
% 0.15/0.48 % SZS status Theorem
% 0.15/0.48 % SZS output start CNFRefutation
% See solution above
% 0.15/0.48 % Parsed axioms : 1
% 0.15/0.48 % Removed by relevancy pruning/SinE : 0
% 0.15/0.48 % Initial clauses : 285
% 0.15/0.48 % Removed in clause preprocessing : 30
% 0.15/0.48 % Initial clauses in saturation : 255
% 0.15/0.48 % Processed clauses : 646
% 0.15/0.48 % ...of these trivial : 1
% 0.15/0.48 % ...subsumed : 267
% 0.15/0.48 % ...remaining for further processing : 377
% 0.15/0.48 % Other redundant clauses eliminated : 0
% 0.15/0.48 % Clauses deleted for lack of memory : 0
% 0.15/0.48 % Backward-subsumed : 260
% 0.15/0.48 % Backward-rewritten : 109
% 0.15/0.48 % Generated clauses : 1757
% 0.15/0.48 % ...of the previous two non-redundant : 1467
% 0.15/0.48 % ...aggressively subsumed : 0
% 0.15/0.48 % Contextual simplify-reflections : 195
% 0.15/0.48 % Paramodulations : 1679
% 0.15/0.48 % Factorizations : 78
% 0.15/0.48 % NegExts : 0
% 0.15/0.48 % Equation resolutions : 0
% 0.15/0.48 % Disequality decompositions : 0
% 0.15/0.48 % Total rewrite steps : 113
% 0.15/0.48 % ...of those cached : 102
% 0.15/0.48 % Propositional unsat checks : 0
% 0.15/0.48 % Propositional check models : 0
% 0.15/0.48 % Propositional check unsatisfiable : 0
% 0.15/0.48 % Propositional clauses : 0
% 0.15/0.48 % Propositional clauses after purity: 0
% 0.15/0.48 % Propositional unsat core size : 0
% 0.15/0.48 % Propositional preprocessing time : 0.000
% 0.15/0.48 % Propositional encoding time : 0.000
% 0.15/0.48 % Propositional solver time : 0.000
% 0.15/0.48 % Success case prop preproc time : 0.000
% 0.15/0.48 % Success case prop encoding time : 0.000
% 0.15/0.48 % Success case prop solver time : 0.000
% 0.15/0.48 % Current number of processed clauses : 8
% 0.15/0.48 % Positive orientable unit clauses : 6
% 0.15/0.48 % Positive unorientable unit clauses: 0
% 0.15/0.48 % Negative unit clauses : 2
% 0.15/0.48 % Non-unit-clauses : 0
% 0.15/0.48 % Current number of unprocessed clauses: 32
% 0.15/0.48 % ...number of literals in the above : 170
% 0.15/0.48 % Current number of archived formulas : 0
% 0.15/0.48 % Current number of archived clauses : 369
% 0.15/0.48 % Clause-clause subsumption calls (NU) : 9976
% 0.15/0.48 % Rec. Clause-clause subsumption calls : 1063
% 0.15/0.48 % Non-unit clause-clause subsumptions : 718
% 0.15/0.48 % Unit Clause-clause subsumption calls : 120
% 0.15/0.48 % Rewrite failures with RHS unbound : 0
% 0.15/0.48 % BW rewrite match attempts : 9
% 0.15/0.48 % BW rewrite match successes : 9
% 0.15/0.48 % Condensation attempts : 0
% 0.15/0.48 % Condensation successes : 0
% 0.15/0.48 % Termbank termtop insertions : 45884
% 0.15/0.48 % Search garbage collected termcells : 3051
% 0.15/0.48
% 0.15/0.48 % -------------------------------------------------
% 0.15/0.48 % User time : 0.046 s
% 0.15/0.48 % System time : 0.003 s
% 0.15/0.48 % Total time : 0.048 s
% 0.15/0.48 % Maximum resident set size: 4160 pages
% 0.15/0.48
% 0.15/0.48 % -------------------------------------------------
% 0.15/0.48 % User time : 0.047 s
% 0.15/0.48 % System time : 0.008 s
% 0.15/0.48 % Total time : 0.055 s
% 0.15/0.48 % Maximum resident set size: 4608 pages
% 0.15/0.48 % E exiting
%------------------------------------------------------------------------------