%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN917+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 : Tue May 5 05:50:44 PM UTC 2026
% Result : Theorem 1.39s 1.75s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
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,
! [X71,X72,X73,X75,X76,X77,X78,X79,X80,X81,X82,X83] :
( ( ~ r(X79,X80)
| r(X80,X79)
| f(esk5_0)
| f(X71)
| epred1_0 )
& ( ~ r(X81,X82)
| ~ r(X82,X83)
| r(X81,X83)
| f(esk5_0)
| f(X71)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| f(esk5_0)
| f(X71)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| f(esk5_0)
| f(X71)
| epred1_0 )
& ( ~ r(X79,X80)
| r(X80,X79)
| ~ g(esk5_0)
| f(X71)
| epred1_0 )
& ( ~ r(X81,X82)
| ~ r(X82,X83)
| r(X81,X83)
| ~ g(esk5_0)
| f(X71)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ g(esk5_0)
| f(X71)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ g(esk5_0)
| f(X71)
| epred1_0 )
& ( ~ r(X79,X80)
| r(X80,X79)
| f(esk5_0)
| g(X72)
| epred1_0 )
& ( ~ r(X81,X82)
| ~ r(X82,X83)
| r(X81,X83)
| f(esk5_0)
| g(X72)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| f(esk5_0)
| g(X72)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| f(esk5_0)
| g(X72)
| epred1_0 )
& ( ~ r(X79,X80)
| r(X80,X79)
| ~ g(esk5_0)
| g(X72)
| epred1_0 )
& ( ~ r(X81,X82)
| ~ r(X82,X83)
| r(X81,X83)
| ~ g(esk5_0)
| g(X72)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ g(esk5_0)
| g(X72)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ g(esk5_0)
| g(X72)
| epred1_0 )
& ( ~ r(X79,X80)
| r(X80,X79)
| f(esk5_0)
| ~ h(X73)
| epred1_0 )
& ( ~ r(X81,X82)
| ~ r(X82,X83)
| r(X81,X83)
| f(esk5_0)
| ~ h(X73)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| f(esk5_0)
| ~ h(X73)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| f(esk5_0)
| ~ h(X73)
| epred1_0 )
& ( ~ r(X79,X80)
| r(X80,X79)
| ~ g(esk5_0)
| ~ h(X73)
| epred1_0 )
& ( ~ r(X81,X82)
| ~ r(X82,X83)
| r(X81,X83)
| ~ g(esk5_0)
| ~ h(X73)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ g(esk5_0)
| ~ h(X73)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ g(esk5_0)
| ~ h(X73)
| epred1_0 )
& ( ~ r(X79,X80)
| r(X80,X79)
| ~ f(X75)
| g(X75)
| ~ f(X76)
| h(X76)
| epred1_0 )
& ( ~ r(X81,X82)
| ~ r(X82,X83)
| r(X81,X83)
| ~ f(X75)
| g(X75)
| ~ f(X76)
| h(X76)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ f(X75)
| g(X75)
| ~ f(X76)
| h(X76)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ f(X75)
| g(X75)
| ~ f(X76)
| h(X76)
| epred1_0 )
& ( ~ r(X79,X80)
| r(X80,X79)
| ~ f(X77)
| ~ h(X77)
| g(X77)
| epred1_0 )
& ( ~ r(X81,X82)
| ~ r(X82,X83)
| r(X81,X83)
| ~ f(X77)
| ~ h(X77)
| g(X77)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ f(X77)
| ~ h(X77)
| g(X77)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ f(X77)
| ~ h(X77)
| g(X77)
| epred1_0 )
& ( ~ r(X79,X80)
| r(X80,X79)
| ~ f(X78)
| ~ g(X78)
| h(X78)
| epred1_0 )
& ( ~ r(X81,X82)
| ~ r(X82,X83)
| r(X81,X83)
| ~ f(X78)
| ~ g(X78)
| h(X78)
| epred1_0 )
& ( r(esk6_0,esk7_0)
| ~ f(X78)
| ~ g(X78)
| h(X78)
| epred1_0 )
& ( ~ r(esk6_0,esk6_0)
| ~ f(X78)
| ~ g(X78)
| h(X78)
| 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)
| h(X1)
| epred1_0
| ~ f(X1)
| ~ g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,plain,
( r(esk6_0,esk7_0)
| f(esk5_0)
| g(X1)
| epred1_0 ),
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)
| epred1_0
| ~ h(X1) ),
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)
| epred1_0
| ~ r(X1,X2)
| ~ h(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,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_12,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_13,plain,
( epred1_0
| r(esk7_0,esk6_0)
| f(esk5_0)
| ~ h(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_14,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_15,plain,
( epred1_0
| r(esk7_0,esk6_0)
| f(esk5_0)
| ~ g(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_12]),c_0_13]) ).
cnf(c_0_16,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_17,plain,
( epred1_0
| r(esk7_0,esk6_0)
| f(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_9]),c_0_15]) ).
cnf(c_0_18,plain,
( epred1_0
| r(X1,esk6_0)
| f(esk5_0)
| f(X2)
| ~ r(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
( f(esk5_0)
| f(X1)
| epred1_0
| ~ r(esk6_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,plain,
( epred1_0
| f(esk5_0)
| f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_9]),c_0_19]) ).
cnf(c_0_21,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_22,plain,
( epred1_0
| f(esk5_0) ),
inference(ef,[status(thm)],[c_0_20]) ).
cnf(c_0_23,plain,
( epred1_0
| r(esk6_0,esk7_0)
| h(esk5_0)
| g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,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_25,plain,
( epred1_0
| r(esk6_0,esk7_0)
| h(esk5_0)
| g(esk5_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_26,plain,
( r(esk6_0,esk7_0)
| g(X1)
| epred1_0
| ~ g(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,plain,
( epred1_0
| r(esk6_0,esk7_0)
| g(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_22]) ).
cnf(c_0_28,plain,
( r(esk6_0,esk7_0)
| epred1_0
| ~ g(esk5_0)
| ~ h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,plain,
( epred1_0
| r(esk6_0,esk7_0)
| g(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( epred1_0
| r(esk6_0,esk7_0)
| ~ h(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_31,plain,
( epred1_0
| r(esk6_0,esk7_0)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_29]),c_0_30]) ).
cnf(c_0_32,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_33,plain,
( epred1_0
| r(esk6_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_34,plain,
( epred1_0
| r(esk7_0,esk6_0)
| h(X1)
| g(X2)
| ~ f(X1)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,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_36,plain,
( epred1_0
| r(esk7_0,esk6_0)
| h(esk5_0)
| g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_22]) ).
cnf(c_0_37,plain,
( epred1_0
| r(esk7_0,esk6_0)
| g(X1)
| ~ h(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_33]) ).
cnf(c_0_38,plain,
( epred1_0
| r(esk7_0,esk6_0)
| h(esk5_0)
| g(esk5_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_22]) ).
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,
( epred1_0
| r(esk7_0,esk6_0)
| g(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_22]) ).
cnf(c_0_41,plain,
( epred1_0
| r(esk7_0,esk6_0)
| r(X1,X2)
| ~ r(X2,X1)
| ~ h(X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,plain,
( epred1_0
| r(esk7_0,esk6_0)
| h(X1)
| ~ g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_33]) ).
cnf(c_0_43,plain,
( epred1_0
| r(esk7_0,esk6_0)
| ~ h(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_33]) ).
cnf(c_0_44,plain,
( epred1_0
| r(esk7_0,esk6_0)
| h(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_40]),c_0_22]) ).
cnf(c_0_45,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_46,plain,
( epred1_0
| r(esk7_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,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_45,c_0_46]) ).
cnf(c_0_48,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_49,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_50,plain,
( epred1_0
| h(X1)
| g(X2)
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_33]),c_0_48]) ).
cnf(c_0_51,plain,
( epred1_0
| r(X1,esk6_0)
| g(X2)
| ~ r(X1,esk7_0)
| ~ h(X2)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_52,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_53,plain,
( epred1_0
| h(esk5_0)
| g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_22]) ).
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,
( epred1_0
| g(X1)
| ~ h(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_33]),c_0_52]) ).
cnf(c_0_56,plain,
( epred1_0
| h(esk5_0)
| g(esk5_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_22]) ).
cnf(c_0_57,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_46]) ).
cnf(c_0_58,plain,
( h(X1)
| epred1_0
| ~ r(esk6_0,esk6_0)
| ~ f(X1)
| ~ g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_59,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_60,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_61,plain,
( epred1_0
| g(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_22]) ).
cnf(c_0_62,plain,
( epred1_0
| h(X1)
| ~ g(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_33]),c_0_58]) ).
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_59]),c_0_1]) ).
cnf(c_0_64,plain,
( epred1_0
| r(X1,X2)
| ~ r(X3,X2)
| ~ r(X1,X3)
| ~ h(X4) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
( epred1_0
| ~ r(esk6_0,esk6_0)
| ~ g(esk5_0)
| ~ h(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_66,plain,
( epred1_0
| h(esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_22]) ).
fof(c_0_67,plain,
! [X88,X89,X90,X91,X93,X94,X95] :
( ( ~ p(esk10_0)
| q(X93)
| f(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X94)
| f(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X95)
| f(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X93)
| ~ g(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X94)
| ~ g(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X95)
| ~ g(esk9_0)
| f(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X93)
| f(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X94)
| f(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X95)
| f(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X93)
| ~ g(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X94)
| ~ g(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X95)
| ~ g(esk9_0)
| g(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X93)
| f(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X94)
| f(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X95)
| f(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X93)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p(X94)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X95)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X93)
| ~ f(X88)
| g(X88)
| ~ f(X89)
| h(X89)
| ~ epred1_0
| epred2_0 )
& ( p(X94)
| ~ f(X88)
| g(X88)
| ~ f(X89)
| h(X89)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X95)
| ~ f(X88)
| g(X88)
| ~ f(X89)
| h(X89)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X93)
| ~ f(X90)
| ~ h(X90)
| g(X90)
| ~ epred1_0
| epred2_0 )
& ( p(X94)
| ~ f(X90)
| ~ h(X90)
| g(X90)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X95)
| ~ f(X90)
| ~ h(X90)
| g(X90)
| ~ epred1_0
| epred2_0 )
& ( ~ p(esk10_0)
| q(X93)
| ~ f(X91)
| ~ g(X91)
| h(X91)
| ~ epred1_0
| epred2_0 )
& ( p(X94)
| ~ f(X91)
| ~ g(X91)
| h(X91)
| ~ epred1_0
| epred2_0 )
& ( ~ q(X95)
| ~ f(X91)
| ~ g(X91)
| h(X91)
| ~ 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_68,plain,
( epred1_0
| r(X1,esk6_0)
| ~ r(X1,esk7_0)
| ~ h(X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_46]) ).
cnf(c_0_69,plain,
( epred1_0
| ~ r(esk6_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_61]) ).
cnf(c_0_70,plain,
( q(X1)
| h(X2)
| epred2_0
| ~ p(esk10_0)
| ~ f(X2)
| ~ g(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_71,plain,
( p(X1)
| h(X2)
| epred2_0
| ~ f(X2)
| ~ g(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_72,plain,
( h(X2)
| epred2_0
| ~ q(X1)
| ~ f(X2)
| ~ g(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,plain,
( epred1_0
| ~ h(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_33]),c_0_69]) ).
cnf(c_0_74,plain,
( q(X1)
| f(esk9_0)
| g(esk8_0)
| epred2_0
| ~ p(esk10_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,plain,
( p(X1)
| f(esk9_0)
| g(esk8_0)
| epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,plain,
( f(esk9_0)
| g(esk8_0)
| epred2_0
| ~ q(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
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_67]) ).
cnf(c_0_78,plain,
( p(X1)
| f(esk9_0)
| f(esk8_0)
| epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_79,plain,
( f(esk9_0)
| f(esk8_0)
| epred2_0
| ~ q(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_80,plain,
( q(X1)
| f(esk9_0)
| epred2_0
| ~ p(esk10_0)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_81,plain,
( p(X1)
| f(esk9_0)
| epred2_0
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_82,plain,
( f(esk9_0)
| epred2_0
| ~ q(X1)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
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_67]) ).
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_67]) ).
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_67]) ).
cnf(c_0_86,plain,
( epred2_0
| h(X1)
| ~ epred1_0
| ~ g(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_87,plain,
epred1_0,
inference(spm,[status(thm)],[c_0_73,c_0_66]) ).
cnf(c_0_88,plain,
( epred2_0
| g(esk8_0)
| f(esk9_0)
| ~ epred1_0 ),
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
| f(esk9_0)
| ~ epred1_0
| ~ h(esk8_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_91,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_92,plain,
( epred2_0
| h(X1)
| ~ g(X1)
| ~ f(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).
cnf(c_0_93,plain,
( epred2_0
| g(esk8_0)
| f(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_87])]) ).
cnf(c_0_94,plain,
( epred2_0
| f(esk9_0)
| f(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_87])]) ).
cnf(c_0_95,plain,
( epred2_0
| f(esk9_0)
| ~ h(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_87])]) ).
cnf(c_0_96,plain,
( q(X1)
| g(X2)
| epred2_0
| ~ p(esk10_0)
| ~ f(X2)
| ~ h(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_97,plain,
( p(X1)
| g(X2)
| epred2_0
| ~ f(X2)
| ~ h(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_98,plain,
( g(X2)
| epred2_0
| ~ q(X1)
| ~ f(X2)
| ~ h(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_99,plain,
( epred2_0
| h(X1)
| g(X2)
| ~ f(X1)
| ~ f(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_87])]) ).
cnf(c_0_100,plain,
( epred2_0
| f(esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]) ).
cnf(c_0_101,plain,
( q(X1)
| g(esk8_0)
| epred2_0
| ~ p(esk10_0)
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_102,plain,
( p(X1)
| g(esk8_0)
| epred2_0
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_103,plain,
( g(esk8_0)
| epred2_0
| ~ q(X1)
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_104,plain,
( epred2_0
| g(X1)
| ~ epred1_0
| ~ h(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_105,plain,
( epred2_0
| h(esk9_0)
| g(X1)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,plain,
( q(X1)
| f(esk8_0)
| epred2_0
| ~ p(esk10_0)
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_107,plain,
( p(X1)
| f(esk8_0)
| epred2_0
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_108,plain,
( f(esk8_0)
| epred2_0
| ~ q(X1)
| ~ g(esk9_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_109,plain,
( epred2_0
| g(esk8_0)
| ~ epred1_0
| ~ g(esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_110,plain,
( epred2_0
| g(X1)
| ~ h(X1)
| ~ f(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_87])]) ).
cnf(c_0_111,plain,
( epred2_0
| h(esk9_0)
| g(esk9_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_100]) ).
cnf(c_0_112,plain,
( epred2_0
| f(esk8_0)
| ~ epred1_0
| ~ g(esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
fof(c_0_113,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_114,plain,
( q(X1)
| epred2_0
| ~ p(esk10_0)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_115,plain,
( p(X1)
| epred2_0
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_116,plain,
( epred2_0
| ~ q(X1)
| ~ g(esk9_0)
| ~ h(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_117,plain,
( epred2_0
| g(esk8_0)
| ~ g(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_87])]) ).
cnf(c_0_118,plain,
( epred2_0
| g(esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_100]) ).
cnf(c_0_119,plain,
( epred2_0
| f(esk8_0)
| ~ g(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_87])]) ).
fof(c_0_120,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_113]),c_0_59]) ).
cnf(c_0_121,plain,
( epred2_0
| ~ epred1_0
| ~ h(esk8_0)
| ~ g(esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_122,plain,
( epred2_0
| g(esk8_0) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_123,plain,
( epred2_0
| f(esk8_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_118]) ).
fof(c_0_124,plain,
! [X99,X100,X101,X102,X103,X105,X106,X107] :
( ( ~ p(X106)
| ~ p(X105)
| p(X102)
| q(X103)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| p(X102)
| q(X103)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| p(X102)
| q(X103)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| p(X102)
| q(X103)
| ~ 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(X102)
| q(X103)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| ~ p(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ p(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ p(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ 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(X106)
| ~ p(X105)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ q(esk14_0)
| ~ p(esk11_0)
| ~ q(esk11_0)
| ~ p(esk12_0)
| ~ q(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ 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(X106)
| ~ p(X105)
| p(X102)
| q(X103)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| p(X102)
| q(X103)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| p(X102)
| q(X103)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| p(X102)
| q(X103)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X102)
| q(X103)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| ~ p(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ p(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ p(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ p(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ p(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| ~ q(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ q(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ q(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ q(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ q(esk14_0)
| p(X100)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| p(X102)
| q(X103)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| p(X102)
| q(X103)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| p(X102)
| q(X103)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| p(X102)
| q(X103)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X102)
| q(X103)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| ~ p(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ p(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ p(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ p(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ p(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| ~ q(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ q(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ q(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ q(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ q(esk14_0)
| q(X101)
| p(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| p(X102)
| q(X103)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| p(X102)
| q(X103)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| p(X102)
| q(X103)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| p(X102)
| q(X103)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X102)
| q(X103)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| ~ p(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ p(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ p(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ p(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ p(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| ~ q(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ q(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ q(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ q(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ q(esk14_0)
| p(X100)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| p(X102)
| q(X103)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| p(X102)
| q(X103)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| p(X102)
| q(X103)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| p(X102)
| q(X103)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| p(X102)
| q(X103)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| ~ p(esk14_0)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ p(esk14_0)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ p(esk14_0)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ p(esk14_0)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ p(esk14_0)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ p(X105)
| ~ q(esk14_0)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ p(X105)
| ~ q(esk14_0)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ p(X106)
| ~ q(X105)
| ~ q(esk14_0)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( ~ q(X107)
| ~ q(X105)
| ~ q(esk14_0)
| q(X101)
| q(X99)
| ~ epred2_0
| epred3_0 )
& ( p(esk15_0)
| q(esk15_0)
| p(esk16_0)
| q(esk17_0)
| ~ q(esk14_0)
| q(X101)
| q(X99)
| ~ 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_120])])])])]) ).
cnf(c_0_125,plain,
( epred2_0
| ~ h(esk8_0)
| ~ g(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_87])]) ).
cnf(c_0_126,plain,
( epred2_0
| h(esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_122]),c_0_123]) ).
cnf(c_0_127,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_124]) ).
cnf(c_0_128,plain,
epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_118]) ).
cnf(c_0_129,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_127,c_0_128])]) ).
cnf(c_0_130,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_129]) ).
cnf(c_0_131,plain,
( p(X3)
| q(X4)
| p(X5)
| p(X6)
| epred3_0
| ~ q(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_132,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_130]) ).
cnf(c_0_133,plain,
( p(X3)
| q(X4)
| p(X5)
| p(X6)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_134,plain,
( p(X3)
| q(X4)
| q(X5)
| p(X6)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_135,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_131,c_0_128])]) ).
cnf(c_0_136,plain,
( epred3_0
| q(esk17_0)
| q(esk15_0)
| p(esk15_0)
| p(esk16_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_132]) ).
cnf(c_0_137,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_133,c_0_128])]) ).
cnf(c_0_138,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_134,c_0_128])]) ).
cnf(c_0_139,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_135,c_0_136]),c_0_137]),c_0_137]),c_0_137]),c_0_138]) ).
cnf(c_0_140,plain,
( p(X3)
| q(X4)
| q(X5)
| q(X6)
| epred3_0
| ~ q(X1)
| ~ q(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_141,plain,
( epred3_0
| q(esk17_0)
| q(esk15_0)
| q(X1)
| p(esk15_0)
| p(esk16_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_136]) ).
cnf(c_0_142,plain,
( p(X3)
| q(X4)
| q(X5)
| p(X6)
| epred3_0
| ~ q(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_143,plain,
( p(X3)
| q(X4)
| q(X5)
| q(X6)
| epred3_0
| ~ q(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_144,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_140,c_0_128])]) ).
cnf(c_0_145,plain,
( epred3_0
| q(esk17_0)
| q(esk15_0)
| p(esk16_0)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_141]) ).
cnf(c_0_146,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_142,c_0_128])]) ).
cnf(c_0_147,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_143,c_0_128])]) ).
cnf(c_0_148,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_144,c_0_145]),c_0_146]),c_0_147]),c_0_144]) ).
cnf(c_0_149,plain,
( epred3_0
| q(esk15_0)
| q(X1)
| q(X2)
| p(esk15_0)
| p(esk16_0) ),
inference(spm,[status(thm)],[c_0_148,c_0_145]) ).
cnf(c_0_150,plain,
( epred3_0
| q(esk15_0)
| q(X1)
| p(esk16_0)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_149]) ).
cnf(c_0_151,plain,
( epred3_0
| q(esk15_0)
| p(esk15_0)
| p(esk16_0) ),
inference(ef,[status(thm)],[c_0_150]) ).
cnf(c_0_152,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_144,c_0_151]),c_0_146]),c_0_147]) ).
cnf(c_0_153,plain,
( epred3_0
| q(X1)
| q(X2)
| q(X3)
| p(esk16_0)
| p(esk15_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_151]) ).
cnf(c_0_154,plain,
( p(X3)
| p(X4)
| epred3_0
| ~ q(X1)
| ~ q(X2)
| ~ q(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_155,plain,
( epred3_0
| q(X1)
| q(X2)
| p(esk15_0)
| p(esk16_0) ),
inference(ef,[status(thm)],[c_0_153]) ).
cnf(c_0_156,plain,
( epred3_0
| p(X1)
| p(X2)
| ~ q(esk14_0)
| ~ q(X3)
| ~ q(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_128])]) ).
cnf(c_0_157,plain,
( epred3_0
| q(X1)
| p(esk16_0)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_155]) ).
cnf(c_0_158,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_156,c_0_157]),c_0_157]),c_0_157]) ).
cnf(c_0_159,plain,
( p(X3)
| q(X4)
| q(X5)
| q(X6)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_160,plain,
( epred3_0
| p(esk16_0)
| p(esk15_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_158]) ).
cnf(c_0_161,plain,
( epred3_0
| q(X1)
| q(X2)
| q(X3)
| p(X4)
| ~ p(X5)
| ~ p(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_128])]) ).
cnf(c_0_162,plain,
( epred3_0
| p(esk16_0)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_160]) ).
cnf(c_0_163,plain,
( epred3_0
| q(X1)
| q(X2)
| q(X3)
| p(esk15_0)
| ~ p(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_161]) ).
cnf(c_0_164,plain,
( epred3_0
| q(X1)
| q(X2)
| q(X3)
| p(esk15_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_162]) ).
cnf(c_0_165,plain,
( p(X3)
| p(X4)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ q(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_166,plain,
( epred3_0
| q(X1)
| q(X2)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_164]) ).
cnf(c_0_167,plain,
( epred3_0
| p(X1)
| p(X2)
| ~ q(esk14_0)
| ~ p(X3)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_128])]) ).
cnf(c_0_168,plain,
( epred3_0
| q(X1)
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_166]) ).
cnf(c_0_169,plain,
( epred3_0
| p(esk15_0)
| p(X1)
| p(X2)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_170,plain,
( epred3_0
| p(esk15_0)
| p(X1)
| p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_169,c_0_162]) ).
cnf(c_0_171,plain,
( epred3_0
| p(esk15_0)
| p(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_162]) ).
cnf(c_0_172,plain,
( epred3_0
| p(esk15_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_171]) ).
cnf(c_0_173,plain,
( epred3_0
| p(esk15_0) ),
inference(ef,[status(thm)],[c_0_172]) ).
cnf(c_0_174,plain,
( epred3_0
| q(X1)
| p(X2)
| p(X3)
| p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_137,c_0_173]) ).
cnf(c_0_175,plain,
( epred3_0
| q(X1)
| p(X2)
| p(X3)
| p(X4) ),
inference(spm,[status(thm)],[c_0_174,c_0_173]) ).
cnf(c_0_176,plain,
( epred3_0
| q(X1)
| p(X2)
| p(X3) ),
inference(ef,[status(thm)],[c_0_175]) ).
cnf(c_0_177,plain,
( epred3_0
| q(X1)
| p(X2) ),
inference(ef,[status(thm)],[c_0_176]) ).
cnf(c_0_178,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_124]) ).
cnf(c_0_179,plain,
( epred3_0
| p(X1)
| p(X2)
| p(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_177]),c_0_177]),c_0_177]) ).
fof(c_0_180,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_181,plain,
( q(X3)
| q(X4)
| epred3_0
| ~ p(X1)
| ~ p(X2)
| ~ p(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_182,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_178,c_0_128])]) ).
cnf(c_0_183,plain,
( epred3_0
| p(X1)
| p(X2) ),
inference(ef,[status(thm)],[c_0_179]) ).
fof(c_0_184,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_180]),c_0_113]) ).
cnf(c_0_185,plain,
( epred3_0
| q(X1)
| q(X2)
| ~ p(esk14_0)
| ~ p(X3)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_128])]) ).
cnf(c_0_186,plain,
( epred3_0
| p(X1) ),
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_182,c_0_177]),c_0_183]),c_0_183]),c_0_183]),c_0_183]),c_0_177]),c_0_177]) ).
fof(c_0_187,plain,
! [X111,X114,X115,X117,X118,X119,X120] :
( ( ~ p(X120)
| p(X118)
| p(X117)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| p(X117)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| p(X117)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| p(X117)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| p(X117)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| p(X117)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| ~ p(esk20_0)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| ~ p(esk20_0)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| ~ p(esk20_0)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| ~ p(esk20_0)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| ~ p(esk20_0)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| ~ p(esk20_0)
| p(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| p(X117)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| p(X117)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| p(X117)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| p(X117)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| p(X117)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| p(X117)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| ~ p(esk20_0)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| ~ p(esk20_0)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| ~ p(esk20_0)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| ~ p(esk20_0)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| ~ p(esk20_0)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| ~ p(esk20_0)
| q(esk19_0)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| p(X111)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| p(X117)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| p(X117)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| p(X117)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| p(X117)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| p(X117)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| p(X117)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| ~ p(esk20_0)
| p(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| p(X117)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| p(X117)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| p(X117)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| p(X117)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| p(X117)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| p(X117)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| ~ p(esk20_0)
| q(esk19_0)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| p(X117)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| p(X118)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| p(X118)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| p(X118)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(X120)
| ~ p(X119)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( p(esk22_0)
| ~ p(X119)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| ~ p(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p(esk21_0)
| ~ p(X119)
| ~ p(esk20_0)
| ~ p(X114)
| ~ q(X115)
| ~ 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_184])])])])])]) ).
cnf(c_0_188,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_124]) ).
cnf(c_0_189,plain,
( epred3_0
| q(X1)
| q(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_186]),c_0_186]) ).
cnf(c_0_190,plain,
( p(X2)
| p(X3)
| p(esk19_0)
| p(X4)
| epred4_0
| ~ p(X1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_191,plain,
( p(X3)
| p(esk19_0)
| p(X4)
| epred4_0
| ~ p(X1)
| ~ p(X2)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_192,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_188,c_0_128])]) ).
cnf(c_0_193,plain,
( epred3_0
| q(X1) ),
inference(ef,[status(thm)],[c_0_189]) ).
cnf(c_0_194,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_187]) ).
cnf(c_0_195,plain,
( p(esk22_0)
| p(X1)
| p(X2)
| p(esk19_0)
| p(X3)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_196,plain,
( epred4_0
| p(esk19_0)
| p(X1)
| p(X2)
| ~ epred3_0
| ~ p(X3) ),
inference(csr,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_197,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_192,c_0_193]),c_0_186]),c_0_186]),c_0_186]),c_0_186]),c_0_186]),c_0_193]) ).
cnf(c_0_198,plain,
( epred4_0
| p(esk22_0)
| p(esk19_0)
| p(X1)
| p(X2)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_199,plain,
( epred4_0
| p(esk19_0)
| p(X1)
| p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197])]) ).
cnf(c_0_200,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_198,c_0_197])]),c_0_199]) ).
cnf(c_0_201,plain,
( p(X2)
| p(X3)
| p(X6)
| epred4_0
| ~ p(X1)
| ~ p(X4)
| ~ q(X5)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_202,plain,
( p(X3)
| p(X6)
| epred4_0
| ~ p(X1)
| ~ p(X2)
| ~ p(X4)
| ~ q(X5)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_203,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_187]) ).
cnf(c_0_204,plain,
( p(esk22_0)
| p(X1)
| p(X2)
| q(esk19_0)
| p(X3)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_205,plain,
( epred4_0
| p(esk22_0)
| p(esk19_0) ),
inference(ef,[status(thm)],[c_0_200]) ).
cnf(c_0_206,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_187]) ).
cnf(c_0_207,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_187]) ).
cnf(c_0_208,plain,
( epred4_0
| p(X1)
| p(X2)
| ~ epred3_0
| ~ q(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(csr,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_209,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_187]) ).
cnf(c_0_210,plain,
( epred4_0
| q(esk19_0)
| p(esk22_0)
| p(X1)
| p(X2)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_211,plain,
( p(X3)
| q(esk19_0)
| p(X4)
| epred4_0
| ~ p(X1)
| ~ p(X2)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_212,plain,
( p(X2)
| p(X3)
| q(esk19_0)
| p(X4)
| epred4_0
| ~ p(X1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_213,plain,
( epred4_0
| p(esk19_0)
| p(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_199,c_0_205]) ).
cnf(c_0_214,plain,
( epred4_0
| p(esk22_0)
| p(X1)
| p(X2)
| ~ epred3_0
| ~ q(X3)
| ~ p(X4) ),
inference(csr,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_215,plain,
( epred4_0
| p(X1)
| p(X2)
| ~ q(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_197])]) ).
cnf(c_0_216,plain,
( epred4_0
| q(esk19_0)
| p(esk22_0)
| p(X1)
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_209,c_0_210]),c_0_210]) ).
cnf(c_0_217,plain,
( epred4_0
| q(esk19_0)
| p(X1)
| p(X2)
| ~ epred3_0
| ~ p(X3) ),
inference(csr,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_218,plain,
( epred4_0
| p(esk19_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_213]) ).
cnf(c_0_219,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_214,c_0_197])]),c_0_215]) ).
cnf(c_0_220,plain,
( epred4_0
| q(esk19_0)
| p(esk22_0)
| p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_197])]) ).
cnf(c_0_221,plain,
( epred4_0
| q(esk19_0)
| p(X1)
| p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_197])]) ).
cnf(c_0_222,plain,
( epred4_0
| p(esk19_0) ),
inference(ef,[status(thm)],[c_0_218]) ).
cnf(c_0_223,plain,
( epred4_0
| p(esk22_0)
| p(X1)
| p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_224,plain,
( epred4_0
| q(esk19_0)
| p(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_225,plain,
( epred4_0
| p(esk22_0)
| p(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_223,c_0_222]) ).
cnf(c_0_226,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_187]) ).
cnf(c_0_227,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_187]) ).
cnf(c_0_228,plain,
( epred4_0
| q(esk19_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_224]) ).
cnf(c_0_229,plain,
( epred4_0
| p(esk22_0)
| p(X1) ),
inference(ef,[status(thm)],[c_0_225]) ).
cnf(c_0_230,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_187]) ).
cnf(c_0_231,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_187]) ).
cnf(c_0_232,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_187]) ).
cnf(c_0_233,plain,
( epred4_0
| ~ epred3_0
| ~ q(X1)
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X2)
| ~ p(X3) ),
inference(csr,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_234,plain,
( epred4_0
| p(X1)
| p(X2)
| p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_215,c_0_228]) ).
cnf(c_0_235,plain,
( epred4_0
| p(esk22_0) ),
inference(ef,[status(thm)],[c_0_229]) ).
fof(c_0_236,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_237,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_187]) ).
cnf(c_0_238,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_187]) ).
cnf(c_0_239,plain,
( epred4_0
| q(esk19_0)
| ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1) ),
inference(csr,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_240,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_232,c_0_233]),c_0_233]) ).
cnf(c_0_241,plain,
( epred4_0
| p(X1)
| p(X2)
| p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
fof(c_0_242,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_236]),c_0_180]) ).
cnf(c_0_243,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_187]) ).
cnf(c_0_244,plain,
( epred4_0
| p(esk19_0)
| ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1) ),
inference(csr,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_245,plain,
( epred4_0
| ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1) ),
inference(csr,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_246,plain,
( epred4_0
| p(X1)
| p(X2)
| p(X3) ),
inference(spm,[status(thm)],[c_0_241,c_0_235]) ).
fof(c_0_247,plain,
! [X125,X126,X127,X128] :
( ( ~ p(X127)
| ~ c
| ~ p(X128)
| ~ 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(X127)
| ~ c
| ~ p(X128)
| ~ 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(X127)
| ~ c
| ~ p(X128)
| ~ 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(X127)
| ~ c
| ~ p(X128)
| ~ 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(X127)
| ~ c
| ~ p(X128)
| ~ c
| p(X125)
| c
| p(X126)
| c
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| p(esk25_0)
| p(X125)
| c
| p(X126)
| c
| ~ epred4_0
| epred5_0 )
& ( c
| p(esk25_0)
| p(X125)
| c
| p(X126)
| c
| ~ epred4_0
| epred5_0 )
& ( p(esk26_0)
| c
| p(X125)
| c
| p(X126)
| c
| ~ epred4_0
| epred5_0 )
& ( c
| c
| p(X125)
| c
| p(X126)
| 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_242])])])])]) ).
cnf(c_0_248,plain,
( epred4_0
| p(esk19_0)
| ~ epred3_0
| ~ p(esk18_0)
| ~ p(esk20_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_243,c_0_244]),c_0_244]) ).
cnf(c_0_249,plain,
( epred4_0
| ~ p(esk18_0)
| ~ p(esk20_0)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_197])]) ).
cnf(c_0_250,plain,
( epred4_0
| p(X1)
| p(X2) ),
inference(ef,[status(thm)],[c_0_246]) ).
fof(c_0_251,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) ).
cnf(c_0_252,plain,
( c
| c
| epred5_0
| ~ p(esk24_0)
| ~ p(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_253,plain,
( epred5_0
| ~ p(X1)
| ~ c
| ~ p(X2)
| ~ c
| ~ c
| ~ c
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_254,plain,
( c
| c
| p(X1)
| c
| p(X2)
| c
| epred5_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_255,plain,
( epred4_0
| ~ p(esk18_0)
| ~ p(esk20_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_197])]),c_0_249]) ).
cnf(c_0_256,plain,
( epred4_0
| p(X1) ),
inference(ef,[status(thm)],[c_0_250]) ).
fof(c_0_257,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_251]),c_0_236]) ).
cnf(c_0_258,plain,
( c
| epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0) ),
inference(cn,[status(thm)],[c_0_252]) ).
cnf(c_0_259,plain,
( epred5_0
| ~ c
| ~ epred4_0
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[c_0_253]) ).
cnf(c_0_260,plain,
( c
| epred5_0
| p(X2)
| p(X1)
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_254]) ).
cnf(c_0_261,plain,
epred4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_256]) ).
fof(c_0_262,plain,
! [X131,X132,X135,X136] :
( ( p(X136)
| p(X135)
| c
| c
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X135)
| c
| c
| ~ epred5_0
| epred6_0 )
& ( p(X136)
| ~ 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(X136)
| p(X135)
| ~ p(X132)
| c
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X135)
| ~ p(X132)
| c
| ~ epred5_0
| epred6_0 )
& ( p(X136)
| ~ c
| ~ p(X132)
| c
| ~ epred5_0
| epred6_0 )
& ( ~ c
| ~ c
| ~ p(X132)
| c
| ~ epred5_0
| epred6_0 )
& ( ~ p(esk29_0)
| c
| ~ p(esk30_0)
| c
| ~ p(X132)
| c
| ~ epred5_0
| epred6_0 )
& ( p(X136)
| p(X135)
| c
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X135)
| c
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( p(X136)
| ~ c
| c
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| ~ c
| c
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( ~ p(esk29_0)
| c
| ~ p(esk30_0)
| c
| c
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( p(X136)
| p(X135)
| ~ p(X132)
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X135)
| ~ p(X132)
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( p(X136)
| ~ c
| ~ p(X132)
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| ~ c
| ~ p(X132)
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( ~ p(esk29_0)
| c
| ~ p(esk30_0)
| c
| ~ p(X132)
| ~ p(X131)
| ~ epred5_0
| epred6_0 )
& ( p(X136)
| p(X135)
| ~ c
| p(esk27_0)
| ~ c
| p(esk28_0)
| ~ epred5_0
| epred6_0 )
& ( ~ c
| p(X135)
| ~ c
| p(esk27_0)
| ~ c
| p(esk28_0)
| ~ epred5_0
| epred6_0 )
& ( p(X136)
| ~ 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_257])])])])])]) ).
cnf(c_0_263,plain,
( epred5_0
| ~ epred4_0
| ~ p(esk23_0)
| ~ p(esk24_0) ),
inference(csr,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_264,plain,
( epred5_0
| c
| p(X1)
| p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_261])]) ).
cnf(c_0_265,plain,
( p(X1)
| p(X2)
| c
| c
| epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_266,plain,
( epred5_0
| ~ p(esk23_0)
| ~ p(esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_261])]) ).
cnf(c_0_267,plain,
( epred5_0
| c
| p(X1) ),
inference(ef,[status(thm)],[c_0_264]) ).
fof(c_0_268,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_251]) ).
cnf(c_0_269,plain,
( c
| c
| c
| c
| epred6_0
| ~ p(esk29_0)
| ~ p(esk30_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_270,plain,
( epred6_0
| ~ c
| ~ c
| ~ p(X1)
| ~ p(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_271,plain,
( c
| epred6_0
| p(X2)
| p(X1)
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_265]) ).
cnf(c_0_272,plain,
( epred5_0
| c ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_267]) ).
fof(c_0_273,negated_conjecture,
! [X65,X66,X69,X70] :
( ( 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(X69)
| c
| ~ p(X70)
| 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(X69)
| c
| ~ p(X70)
| 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(X69)
| c
| ~ p(X70)
| 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(X69)
| c
| ~ p(X70)
| c
| ~ p(esk2_0)
| ~ p(esk1_0)
| ~ epred6_0 )
& ( p(esk4_0)
| p(esk3_0)
| ~ c
| p(X65)
| ~ c
| p(X66)
| ~ epred6_0 )
& ( ~ c
| p(esk3_0)
| ~ c
| p(X65)
| ~ c
| p(X66)
| ~ epred6_0 )
& ( p(esk4_0)
| ~ c
| ~ c
| p(X65)
| ~ c
| p(X66)
| ~ epred6_0 )
& ( ~ c
| ~ c
| ~ c
| p(X65)
| ~ c
| p(X66)
| ~ epred6_0 )
& ( ~ p(X69)
| c
| ~ p(X70)
| c
| ~ c
| p(X65)
| ~ c
| p(X66)
| ~ 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_268])])])])]) ).
cnf(c_0_274,plain,
( c
| epred6_0
| ~ epred5_0
| ~ p(esk29_0)
| ~ p(esk30_0) ),
inference(cn,[status(thm)],[c_0_269]) ).
cnf(c_0_275,plain,
( epred6_0
| ~ c
| ~ epred5_0
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[c_0_270]) ).
cnf(c_0_276,plain,
( epred6_0
| c
| p(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_277,negated_conjecture,
( c
| c
| c
| c
| ~ p(X1)
| ~ p(X2)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_273]) ).
cnf(c_0_278,plain,
( epred6_0
| ~ epred5_0
| ~ p(esk29_0)
| ~ p(esk30_0) ),
inference(csr,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_279,plain,
( epred6_0
| c
| p(X1) ),
inference(ef,[status(thm)],[c_0_276]) ).
cnf(c_0_280,negated_conjecture,
( p(esk4_0)
| p(esk3_0)
| c
| c
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_273]) ).
cnf(c_0_281,negated_conjecture,
( c
| ~ epred6_0
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[c_0_277]) ).
cnf(c_0_282,plain,
( epred6_0
| c ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_279]),c_0_272]) ).
cnf(c_0_283,negated_conjecture,
( c
| p(esk3_0)
| p(esk4_0)
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_280]) ).
cnf(c_0_284,negated_conjecture,
( c
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_285,negated_conjecture,
( c
| p(esk4_0)
| p(esk3_0) ),
inference(spm,[status(thm)],[c_0_283,c_0_282]) ).
cnf(c_0_286,plain,
( p(esk26_0)
| p(esk25_0)
| epred5_0
| ~ c
| ~ c
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_287,negated_conjecture,
( c
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_284]) ).
cnf(c_0_288,plain,
( epred5_0
| p(esk25_0)
| p(esk26_0)
| ~ c
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_286]) ).
cnf(c_0_289,plain,
( epred5_0
| ~ c
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_261])]) ).
cnf(c_0_290,negated_conjecture,
c,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_285]),c_0_287]) ).
cnf(c_0_291,plain,
( epred5_0
| p(esk26_0)
| p(esk25_0)
| ~ c ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_261])]) ).
cnf(c_0_292,plain,
( p(esk27_0)
| p(esk28_0)
| epred6_0
| ~ c
| ~ c
| ~ c
| ~ c
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_293,negated_conjecture,
( p(X1)
| p(X2)
| ~ c
| ~ c
| ~ c
| ~ c
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_273]) ).
cnf(c_0_294,plain,
( epred5_0
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_290])]) ).
cnf(c_0_295,plain,
( epred5_0
| p(esk25_0)
| p(esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_290])]) ).
cnf(c_0_296,plain,
( epred6_0
| p(esk27_0)
| p(esk28_0)
| ~ c
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_292]) ).
cnf(c_0_297,negated_conjecture,
( p(X2)
| p(X1)
| ~ c
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_293]) ).
cnf(c_0_298,plain,
( epred5_0
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_294]) ).
cnf(c_0_299,plain,
( p(esk27_0)
| p(esk28_0)
| ~ epred5_0
| ~ c ),
inference(csr,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_300,plain,
( epred6_0
| ~ epred5_0
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_290])]) ).
cnf(c_0_301,plain,
epred5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_295]),c_0_298]) ).
cnf(c_0_302,plain,
( p(esk28_0)
| p(esk27_0)
| ~ epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_290])]) ).
cnf(c_0_303,negated_conjecture,
( ~ c
| ~ c
| ~ p(esk2_0)
| ~ p(esk1_0)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_273]) ).
cnf(c_0_304,plain,
( epred6_0
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_301])]) ).
cnf(c_0_305,plain,
( p(esk27_0)
| p(esk28_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_301])]) ).
cnf(c_0_306,negated_conjecture,
( ~ c
| ~ epred6_0
| ~ p(esk1_0)
| ~ p(esk2_0) ),
inference(cn,[status(thm)],[c_0_303]) ).
cnf(c_0_307,plain,
( epred6_0
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_304]) ).
cnf(c_0_308,negated_conjecture,
( ~ epred6_0
| ~ p(esk1_0)
| ~ p(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_290])]) ).
cnf(c_0_309,plain,
epred6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_305]),c_0_307]) ).
cnf(c_0_310,negated_conjecture,
( p(X1)
| p(X2)
| ~ epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_290])]) ).
cnf(c_0_311,negated_conjecture,
( ~ p(esk1_0)
| ~ p(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_309])]) ).
cnf(c_0_312,negated_conjecture,
( p(X1)
| p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_309])]) ).
cnf(c_0_313,negated_conjecture,
p(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_312]) ).
cnf(c_0_314,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_313]),c_0_313])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN917+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:50:00 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.39/1.75 % Version : CSE_E---1.7
% 1.39/1.75 % Problem : theBenchmark.p
% 1.39/1.75 % SZS status Theorem for theBenchmark.p
% 1.39/1.75 % SZS output start CNFRefutation
% See solution above
% 1.39/1.75 % Total time : 1.370s
%------------------------------------------------------------------------------