TSTP Solution File: ITP009+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP009+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 : 600s
% DateTime : Sat Jul 16 22:45:50 EDT 2022
% Result : Theorem 0.50s 47.68s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 131 ( 25 unt; 0 def)
% Number of atoms : 682 ( 67 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 970 ( 419 ~; 449 |; 27 &)
% ( 4 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 13 con; 0-4 aty)
% Number of variables : 348 ( 0 sgn 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
fof(mem_c_2Equotient_2Erespects,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> mem(c_2Equotient_2Erespects(X9,X10),arr(arr(X9,arr(X9,X10)),arr(X9,X10))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Equotient_2Erespects) ).
fof(mem_c_2Equotient_2E_3D_3D_3D_3E,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> mem(c_2Equotient_2E_3D_3D_3D_3E(X9,X10),arr(arr(X9,arr(X9,bool)),arr(arr(X10,arr(X10,bool)),arr(arr(X9,X10),arr(arr(X9,X10),bool))))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Equotient_2E_3D_3D_3D_3E) ).
fof(conj_thm_2Equotient_2EFUN__REL__EQ__REL,conjecture,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ! [X24] :
( mem(X24,arr(X9,arr(X9,bool)))
=> ! [X25] :
( mem(X25,arr(X9,X11))
=> ! [X26] :
( mem(X26,arr(X11,X9))
=> ( p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X9,X11),X24),X25),X26))
=> ! [X27] :
( mem(X27,arr(X10,arr(X10,bool)))
=> ! [X28] :
( mem(X28,arr(X10,X12))
=> ! [X29] :
( mem(X29,arr(X12,X10))
=> ( p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X10,X12),X27),X28),X29))
=> ! [X30] :
( mem(X30,arr(X9,X10))
=> ! [X31] :
( mem(X31,arr(X9,X10))
=> ( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X9,X10),X24),X27),X30),X31))
<=> ( p(ap(ap(c_2Equotient_2Erespects(arr(X9,X10),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X9,X10),X24),X27)),X30))
& p(ap(ap(c_2Equotient_2Erespects(arr(X9,X10),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X9,X10),X24),X27)),X31))
& ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X11,X10,X9,X12),X26),X28),X30) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X11,X10,X9,X12),X26),X28),X31) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_thm_2Equotient_2EFUN__REL__EQ__REL) ).
fof(mem_c_2Equotient_2E_2D_2D_3E,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> mem(c_2Equotient_2E_2D_2D_3E(X9,X10,X11,X12),arr(arr(X9,X11),arr(arr(X10,X12),arr(arr(X11,X10),arr(X9,X12))))) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Equotient_2E_2D_2D_3E) ).
fof(boolext,axiom,
! [X5] :
( mem(X5,bool)
=> ! [X6] :
( mem(X6,bool)
=> ( ( p(X5)
<=> p(X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',boolext) ).
fof(arr_ne,axiom,
! [X1] :
( ne(X1)
=> ! [X2] :
( ne(X2)
=> ne(arr(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',arr_ne) ).
fof(conj_thm_2Ecombin_2EW__THM,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ! [X17] :
( mem(X17,arr(X9,arr(X9,X10)))
=> ! [X18] :
( mem(X18,X9)
=> ap(ap(c_2Ecombin_2EW(X9,X10),X17),X18) = ap(ap(X17,X18),X18) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_thm_2Ecombin_2EW__THM) ).
fof(mem_c_2Equotient_2EQUOTIENT,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> mem(c_2Equotient_2EQUOTIENT(X9,X10),arr(arr(X9,arr(X9,bool)),arr(arr(X9,X10),arr(arr(X10,X9),bool)))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Equotient_2EQUOTIENT) ).
fof(bool_ne,axiom,
ne(bool),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',bool_ne) ).
fof(conj_thm_2Equotient_2EQUOTIENT__REL,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ! [X19] :
( mem(X19,arr(X9,arr(X9,bool)))
=> ! [X20] :
( mem(X20,arr(X9,X10))
=> ! [X21] :
( mem(X21,arr(X10,X9))
=> ( p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X9,X10),X19),X20),X21))
=> ! [X22] :
( mem(X22,X9)
=> ! [X23] :
( mem(X23,X9)
=> ( p(ap(ap(X19,X22),X23))
<=> ( p(ap(ap(X19,X22),X22))
& p(ap(ap(X19,X23),X23))
& ap(X20,X22) = ap(X20,X23) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_thm_2Equotient_2EQUOTIENT__REL) ).
fof(conj_thm_2Equotient_2EFUN__QUOTIENT,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ! [X24] :
( mem(X24,arr(X9,arr(X9,bool)))
=> ! [X25] :
( mem(X25,arr(X9,X11))
=> ! [X26] :
( mem(X26,arr(X11,X9))
=> ( p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X9,X11),X24),X25),X26))
=> ! [X27] :
( mem(X27,arr(X10,arr(X10,bool)))
=> ! [X28] :
( mem(X28,arr(X10,X12))
=> ! [X29] :
( mem(X29,arr(X12,X10))
=> ( p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X10,X12),X27),X28),X29))
=> p(ap(ap(ap(c_2Equotient_2EQUOTIENT(arr(X9,X10),arr(X11,X12)),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X9,X10),X24),X27)),ap(ap(c_2Equotient_2E_2D_2D_3E(X11,X10,X9,X12),X26),X28)),ap(ap(c_2Equotient_2E_2D_2D_3E(X9,X12,X11,X10),X25),X29))) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_thm_2Equotient_2EFUN__QUOTIENT) ).
fof(ax_thm_2Equotient_2Erespects__def,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> c_2Equotient_2Erespects(X9,X10) = c_2Ecombin_2EW(X9,X10) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax_thm_2Equotient_2Erespects__def) ).
fof(c_0_13,plain,
! [X5,X6,X7,X8] :
( ~ mem(X7,arr(X5,X6))
| ~ mem(X8,X5)
| mem(ap(X7,X8),X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])]) ).
fof(c_0_14,plain,
! [X11,X12] :
( ~ ne(X11)
| ~ ne(X12)
| mem(c_2Equotient_2Erespects(X11,X12),arr(arr(X11,arr(X11,X12)),arr(X11,X12))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Equotient_2Erespects])])])])]) ).
fof(c_0_15,plain,
! [X11,X12] :
( ~ ne(X11)
| ~ ne(X12)
| mem(c_2Equotient_2E_3D_3D_3D_3E(X11,X12),arr(arr(X11,arr(X11,bool)),arr(arr(X12,arr(X12,bool)),arr(arr(X11,X12),arr(arr(X11,X12),bool))))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Equotient_2E_3D_3D_3D_3E])])])])]) ).
fof(c_0_16,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ! [X24] :
( mem(X24,arr(X9,arr(X9,bool)))
=> ! [X25] :
( mem(X25,arr(X9,X11))
=> ! [X26] :
( mem(X26,arr(X11,X9))
=> ( p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X9,X11),X24),X25),X26))
=> ! [X27] :
( mem(X27,arr(X10,arr(X10,bool)))
=> ! [X28] :
( mem(X28,arr(X10,X12))
=> ! [X29] :
( mem(X29,arr(X12,X10))
=> ( p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X10,X12),X27),X28),X29))
=> ! [X30] :
( mem(X30,arr(X9,X10))
=> ! [X31] :
( mem(X31,arr(X9,X10))
=> ( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X9,X10),X24),X27),X30),X31))
<=> ( p(ap(ap(c_2Equotient_2Erespects(arr(X9,X10),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X9,X10),X24),X27)),X30))
& p(ap(ap(c_2Equotient_2Erespects(arr(X9,X10),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X9,X10),X24),X27)),X31))
& ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X11,X10,X9,X12),X26),X28),X30) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X11,X10,X9,X12),X26),X28),X31) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Equotient_2EFUN__REL__EQ__REL]) ).
cnf(c_0_17,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( mem(c_2Equotient_2Erespects(X1,X2),arr(arr(X1,arr(X1,X2)),arr(X1,X2)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( mem(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),arr(arr(X1,arr(X1,bool)),arr(arr(X2,arr(X2,bool)),arr(arr(X1,X2),arr(arr(X1,X2),bool)))))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X13,X14,X15,X16] :
( ~ ne(X13)
| ~ ne(X14)
| ~ ne(X15)
| ~ ne(X16)
| mem(c_2Equotient_2E_2D_2D_3E(X13,X14,X15,X16),arr(arr(X13,X15),arr(arr(X14,X16),arr(arr(X15,X14),arr(X13,X16))))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Equotient_2E_2D_2D_3E])])])])]) ).
fof(c_0_21,plain,
! [X7,X8] :
( ( ~ p(X7)
| ~ p(X8)
| X7 = X8
| ~ mem(X8,bool)
| ~ mem(X7,bool) )
& ( p(X7)
| p(X8)
| X7 = X8
| ~ mem(X8,bool)
| ~ mem(X7,bool) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[boolext])])])])])]) ).
fof(c_0_22,negated_conjecture,
( ne(esk1_0)
& ne(esk2_0)
& ne(esk3_0)
& ne(esk4_0)
& mem(esk5_0,arr(esk1_0,arr(esk1_0,bool)))
& mem(esk6_0,arr(esk1_0,esk3_0))
& mem(esk7_0,arr(esk3_0,esk1_0))
& p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0))
& mem(esk8_0,arr(esk2_0,arr(esk2_0,bool)))
& mem(esk9_0,arr(esk2_0,esk4_0))
& mem(esk10_0,arr(esk4_0,esk2_0))
& p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0))
& mem(esk11_0,arr(esk1_0,esk2_0))
& mem(esk12_0,arr(esk1_0,esk2_0))
& ( ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| ~ p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0))
| ~ p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0))
| ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk11_0) != ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk12_0) )
& ( p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0))
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) )
& ( p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0))
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) )
& ( ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk11_0) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk12_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])])]) ).
cnf(c_0_23,plain,
( mem(ap(c_2Equotient_2Erespects(X1,X2),X3),arr(X1,X2))
| ~ mem(X3,arr(X1,arr(X1,X2)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(pm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( mem(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),arr(arr(X2,arr(X2,bool)),arr(arr(X1,X2),arr(arr(X1,X2),bool))))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(pm,[status(thm)],[c_0_17,c_0_19]) ).
fof(c_0_25,plain,
! [X3,X4] :
( ~ ne(X3)
| ~ ne(X4)
| ne(arr(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arr_ne])])])])]) ).
cnf(c_0_26,plain,
( mem(c_2Equotient_2E_2D_2D_3E(X1,X2,X3,X4),arr(arr(X1,X3),arr(arr(X2,X4),arr(arr(X3,X2),arr(X1,X4)))))
| ~ ne(X4)
| ~ ne(X3)
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X19,X20,X21,X22] :
( ~ ne(X19)
| ~ ne(X20)
| ~ mem(X21,arr(X19,arr(X19,X20)))
| ~ mem(X22,X19)
| ap(ap(c_2Ecombin_2EW(X19,X20),X21),X22) = ap(ap(X21,X22),X22) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ecombin_2EW__THM])])])])]) ).
fof(c_0_28,plain,
! [X11,X12] :
( ~ ne(X11)
| ~ ne(X12)
| mem(c_2Equotient_2EQUOTIENT(X11,X12),arr(arr(X11,arr(X11,bool)),arr(arr(X11,X12),arr(arr(X12,X11),bool)))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Equotient_2EQUOTIENT])])])])]) ).
cnf(c_0_29,plain,
( X1 = X2
| ~ mem(X1,bool)
| ~ mem(X2,bool)
| ~ p(X2)
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( mem(ap(ap(c_2Equotient_2Erespects(X1,X2),X3),X4),X2)
| ~ mem(X3,arr(X1,arr(X1,X2)))
| ~ mem(X4,X1)
| ~ ne(X2)
| ~ ne(X1) ),
inference(pm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_32,plain,
( mem(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),arr(arr(X1,X2),arr(arr(X1,X2),bool)))
| ~ mem(X4,arr(X2,arr(X2,bool)))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(pm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_33,plain,
ne(bool),
inference(split_conjunct,[status(thm)],[bool_ne]) ).
cnf(c_0_34,plain,
( ne(arr(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_35,plain,
! [X24,X25,X26,X27,X28,X29,X30] :
( ( p(ap(ap(X26,X29),X29))
| ~ p(ap(ap(X26,X29),X30))
| ~ mem(X30,X24)
| ~ mem(X29,X24)
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X24,X25),X26),X27),X28))
| ~ mem(X28,arr(X25,X24))
| ~ mem(X27,arr(X24,X25))
| ~ mem(X26,arr(X24,arr(X24,bool)))
| ~ ne(X25)
| ~ ne(X24) )
& ( p(ap(ap(X26,X30),X30))
| ~ p(ap(ap(X26,X29),X30))
| ~ mem(X30,X24)
| ~ mem(X29,X24)
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X24,X25),X26),X27),X28))
| ~ mem(X28,arr(X25,X24))
| ~ mem(X27,arr(X24,X25))
| ~ mem(X26,arr(X24,arr(X24,bool)))
| ~ ne(X25)
| ~ ne(X24) )
& ( ap(X27,X29) = ap(X27,X30)
| ~ p(ap(ap(X26,X29),X30))
| ~ mem(X30,X24)
| ~ mem(X29,X24)
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X24,X25),X26),X27),X28))
| ~ mem(X28,arr(X25,X24))
| ~ mem(X27,arr(X24,X25))
| ~ mem(X26,arr(X24,arr(X24,bool)))
| ~ ne(X25)
| ~ ne(X24) )
& ( ~ p(ap(ap(X26,X29),X29))
| ~ p(ap(ap(X26,X30),X30))
| ap(X27,X29) != ap(X27,X30)
| p(ap(ap(X26,X29),X30))
| ~ mem(X30,X24)
| ~ mem(X29,X24)
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X24,X25),X26),X27),X28))
| ~ mem(X28,arr(X25,X24))
| ~ mem(X27,arr(X24,X25))
| ~ mem(X26,arr(X24,arr(X24,bool)))
| ~ ne(X25)
| ~ ne(X24) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Equotient_2EQUOTIENT__REL])])])])])]) ).
fof(c_0_36,plain,
! [X30,X31,X32,X33,X34,X35,X36,X37,X38,X39] :
( ~ ne(X30)
| ~ ne(X31)
| ~ ne(X32)
| ~ ne(X33)
| ~ mem(X34,arr(X30,arr(X30,bool)))
| ~ mem(X35,arr(X30,X32))
| ~ mem(X36,arr(X32,X30))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X30,X32),X34),X35),X36))
| ~ mem(X37,arr(X31,arr(X31,bool)))
| ~ mem(X38,arr(X31,X33))
| ~ mem(X39,arr(X33,X31))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X31,X33),X37),X38),X39))
| p(ap(ap(ap(c_2Equotient_2EQUOTIENT(arr(X30,X31),arr(X32,X33)),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X30,X31),X34),X37)),ap(ap(c_2Equotient_2E_2D_2D_3E(X32,X31,X30,X33),X36),X38)),ap(ap(c_2Equotient_2E_2D_2D_3E(X30,X33,X32,X31),X35),X39))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Equotient_2EFUN__QUOTIENT])])])])]) ).
cnf(c_0_37,plain,
( mem(ap(c_2Equotient_2E_2D_2D_3E(X1,X2,X3,X4),X5),arr(arr(X2,X4),arr(arr(X3,X2),arr(X1,X4))))
| ~ mem(X5,arr(X1,X3))
| ~ ne(X4)
| ~ ne(X3)
| ~ ne(X2)
| ~ ne(X1) ),
inference(pm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_38,plain,
( ap(ap(c_2Ecombin_2EW(X1,X2),X3),X4) = ap(ap(X3,X4),X4)
| ~ mem(X4,X1)
| ~ mem(X3,arr(X1,arr(X1,X2)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_39,plain,
! [X11,X12] :
( ~ ne(X11)
| ~ ne(X12)
| c_2Equotient_2Erespects(X11,X12) = c_2Ecombin_2EW(X11,X12) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Equotient_2Erespects__def])])])])]) ).
cnf(c_0_40,plain,
( mem(c_2Equotient_2EQUOTIENT(X1,X2),arr(arr(X1,arr(X1,bool)),arr(arr(X1,X2),arr(arr(X2,X1),bool))))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,negated_conjecture,
( X1 = ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| ~ p(X1)
| ~ mem(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0),bool)
| ~ mem(X1,bool) ),
inference(pm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_42,plain,
( mem(ap(ap(c_2Equotient_2Erespects(arr(X1,X2),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4)),X5),bool)
| ~ mem(X4,arr(X2,arr(X2,bool)))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X5,arr(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_43,negated_conjecture,
mem(esk8_0,arr(esk2_0,arr(esk2_0,bool))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_44,negated_conjecture,
mem(esk5_0,arr(esk1_0,arr(esk1_0,bool))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_45,negated_conjecture,
mem(esk12_0,arr(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_46,negated_conjecture,
ne(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_47,negated_conjecture,
ne(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_48,plain,
( ap(X4,X6) = ap(X4,X7)
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X4,arr(X1,X2))
| ~ mem(X5,arr(X2,X1))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X1,X2),X3),X4),X5))
| ~ mem(X6,X1)
| ~ mem(X7,X1)
| ~ p(ap(ap(X3,X6),X7)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,plain,
( p(ap(ap(ap(c_2Equotient_2EQUOTIENT(arr(X1,X2),arr(X3,X4)),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X5),X6)),ap(ap(c_2Equotient_2E_2D_2D_3E(X3,X2,X1,X4),X7),X8)),ap(ap(c_2Equotient_2E_2D_2D_3E(X1,X4,X3,X2),X9),X10)))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X2,X4),X6),X8),X10))
| ~ mem(X10,arr(X4,X2))
| ~ mem(X8,arr(X2,X4))
| ~ mem(X6,arr(X2,arr(X2,bool)))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X1,X3),X5),X9),X7))
| ~ mem(X7,arr(X3,X1))
| ~ mem(X9,arr(X1,X3))
| ~ mem(X5,arr(X1,arr(X1,bool)))
| ~ ne(X4)
| ~ ne(X3)
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,plain,
( mem(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,X2,X3,X4),X5),X6),arr(arr(X3,X2),arr(X1,X4)))
| ~ mem(X6,arr(X2,X4))
| ~ mem(X5,arr(X1,X3))
| ~ ne(X4)
| ~ ne(X3)
| ~ ne(X2)
| ~ ne(X1) ),
inference(pm,[status(thm)],[c_0_17,c_0_37]) ).
cnf(c_0_51,plain,
( ap(ap(c_2Ecombin_2EW(arr(X1,X2),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4)),X5) = ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),X5),X5)
| ~ mem(X4,arr(X2,arr(X2,bool)))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X5,arr(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_52,plain,
( c_2Equotient_2Erespects(X1,X2) = c_2Ecombin_2EW(X1,X2)
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,plain,
( mem(ap(c_2Equotient_2EQUOTIENT(X1,X2),X3),arr(arr(X1,X2),arr(arr(X2,X1),bool)))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(pm,[status(thm)],[c_0_17,c_0_40]) ).
cnf(c_0_54,negated_conjecture,
( X1 = ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_55,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_56,plain,
( ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,X2,X3,X4),X5),X6),X7) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,X2,X3,X4),X5),X6),X8)
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X3,X2),X9),X10),X7),X8))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X2,X4),X10),X6),X11))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X3,X1),X9),X12),X5))
| ~ mem(X10,arr(X2,arr(X2,bool)))
| ~ mem(X9,arr(X3,arr(X3,bool)))
| ~ mem(X8,arr(X3,X2))
| ~ mem(X7,arr(X3,X2))
| ~ mem(X11,arr(X4,X2))
| ~ mem(X12,arr(X3,X1))
| ~ mem(X6,arr(X2,X4))
| ~ mem(X5,arr(X1,X3))
| ~ ne(X4)
| ~ ne(X1)
| ~ ne(X2)
| ~ ne(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_48,c_0_49]),c_0_34]),c_0_34]),c_0_50]),c_0_50]),c_0_32]) ).
cnf(c_0_57,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk11_0) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_58,negated_conjecture,
mem(esk11_0,arr(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_59,plain,
( p(ap(ap(X3,X6),X6))
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X4,arr(X1,X2))
| ~ mem(X5,arr(X2,X1))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X1,X2),X3),X4),X5))
| ~ mem(X6,X1)
| ~ mem(X7,X1)
| ~ p(ap(ap(X3,X6),X7)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_60,plain,
( ap(ap(c_2Equotient_2Erespects(arr(X1,X2),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4)),X5) = ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),X5),X5)
| ~ mem(X4,arr(X2,arr(X2,bool)))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X5,arr(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_52]),c_0_33])]),c_0_34]) ).
cnf(c_0_61,plain,
( mem(ap(ap(c_2Equotient_2EQUOTIENT(X1,X2),X3),X4),arr(arr(X2,X1),bool))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X4,arr(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(pm,[status(thm)],[c_0_17,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0) = ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| ~ mem(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0),bool) ),
inference(pm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,negated_conjecture,
( ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk12_0) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk11_0)
| ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,esk2_0,esk1_0,X2),X3),X4),esk12_0) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,esk2_0,esk1_0,X2),X3),X4),esk11_0)
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,X2),esk8_0),X4),X5))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X6),X3))
| ~ mem(X5,arr(X2,esk2_0))
| ~ mem(X6,arr(esk1_0,X1))
| ~ mem(X4,arr(esk2_0,X2))
| ~ mem(X3,arr(X1,esk1_0))
| ~ ne(X2)
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_56,c_0_57]),c_0_43]),c_0_44]),c_0_45]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_64,negated_conjecture,
p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_65,negated_conjecture,
mem(esk10_0,arr(esk4_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_66,negated_conjecture,
mem(esk9_0,arr(esk2_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_67,negated_conjecture,
ne(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_68,negated_conjecture,
p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_69,plain,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),X5),X5))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),X5),X6))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X2,X7),X4),X8),X9))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X1,X10),X3),X11),X12))
| ~ mem(X4,arr(X2,arr(X2,bool)))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X6,arr(X1,X2))
| ~ mem(X5,arr(X1,X2))
| ~ mem(X9,arr(X7,X2))
| ~ mem(X11,arr(X1,X10))
| ~ mem(X8,arr(X2,X7))
| ~ mem(X12,arr(X10,X1))
| ~ ne(X7)
| ~ ne(X10)
| ~ ne(X2)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_59,c_0_49]),c_0_34]),c_0_34]),c_0_50]),c_0_50]),c_0_32]) ).
cnf(c_0_70,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_60]),c_0_43]),c_0_44]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_71,plain,
( mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(X1,X2),X3),X4),X5),bool)
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X5,arr(X2,X1))
| ~ mem(X4,arr(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(pm,[status(thm)],[c_0_17,c_0_61]) ).
cnf(c_0_72,negated_conjecture,
( ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0) = ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_62,c_0_42]),c_0_43]),c_0_44]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_73,negated_conjecture,
( ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk12_0) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk11_0)
| ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,esk2_0,esk1_0,esk4_0),X2),esk9_0),esk12_0) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,esk2_0,esk1_0,esk4_0),X2),esk9_0),esk11_0)
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X3),X2))
| ~ mem(X3,arr(esk1_0,X1))
| ~ mem(X2,arr(X1,esk1_0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_74,negated_conjecture,
mem(esk6_0,arr(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_75,negated_conjecture,
mem(esk7_0,arr(esk3_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_76,negated_conjecture,
ne(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_77,plain,
( p(ap(ap(X3,X7),X7))
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X4,arr(X1,X2))
| ~ mem(X5,arr(X2,X1))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X1,X2),X3),X4),X5))
| ~ mem(X6,X1)
| ~ mem(X7,X1)
| ~ p(ap(ap(X3,X6),X7)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_78,negated_conjecture,
( ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool) ),
inference(pm,[status(thm)],[c_0_54,c_0_64]) ).
cnf(c_0_79,negated_conjecture,
( ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool) ),
inference(pm,[status(thm)],[c_0_54,c_0_68]) ).
cnf(c_0_80,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,X1),esk8_0),X2),X3))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X4),esk5_0),X5),X6))
| ~ mem(X3,arr(X1,esk2_0))
| ~ mem(X5,arr(esk1_0,X4))
| ~ mem(X2,arr(esk2_0,X1))
| ~ mem(X6,arr(X4,esk1_0))
| ~ ne(X1)
| ~ ne(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_69,c_0_70]),c_0_43]),c_0_44]),c_0_45]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_81,negated_conjecture,
( X1 = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| ~ p(X1)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool)
| ~ mem(X1,bool) ),
inference(pm,[status(thm)],[c_0_29,c_0_64]) ).
cnf(c_0_82,negated_conjecture,
( mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,X1),esk8_0),X2),X3),bool)
| ~ mem(X3,arr(X1,esk2_0))
| ~ mem(X2,arr(esk2_0,X1))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_43]),c_0_46])]) ).
cnf(c_0_83,negated_conjecture,
( ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0) = ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_72,c_0_60]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_84,negated_conjecture,
( ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk11_0) != ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk12_0)
| ~ p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0))
| ~ p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_85,negated_conjecture,
ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk12_0) = ap(ap(ap(c_2Equotient_2E_2D_2D_3E(esk3_0,esk2_0,esk1_0,esk4_0),esk7_0),esk9_0),esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_73,c_0_68]),c_0_74]),c_0_75]),c_0_76])]) ).
cnf(c_0_86,plain,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),X5),X5))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),X6),X5))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X2,X7),X4),X8),X9))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X1,X10),X3),X11),X12))
| ~ mem(X4,arr(X2,arr(X2,bool)))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X5,arr(X1,X2))
| ~ mem(X6,arr(X1,X2))
| ~ mem(X9,arr(X7,X2))
| ~ mem(X11,arr(X1,X10))
| ~ mem(X8,arr(X2,X7))
| ~ mem(X12,arr(X10,X1))
| ~ ne(X7)
| ~ ne(X10)
| ~ ne(X2)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_77,c_0_49]),c_0_34]),c_0_34]),c_0_50]),c_0_50]),c_0_32]) ).
cnf(c_0_87,negated_conjecture,
( ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool) ),
inference(pm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_88,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X2),X3))
| ~ mem(X2,arr(esk1_0,X1))
| ~ mem(X3,arr(X1,esk1_0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_80,c_0_64]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_89,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| mem(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_72]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_90,negated_conjecture,
( X1 = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_81,c_0_82]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_91,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_60]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_92,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| mem(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_83]),c_0_43]),c_0_44]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_93,negated_conjecture,
( ~ p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0))
| ~ p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
cnf(c_0_94,negated_conjecture,
( ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,X1),esk8_0),X2),X3))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X4),esk5_0),X5),X6))
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool)
| ~ mem(X3,arr(X1,esk2_0))
| ~ mem(X5,arr(esk1_0,X4))
| ~ mem(X2,arr(esk2_0,X1))
| ~ mem(X6,arr(X4,esk1_0))
| ~ ne(X1)
| ~ ne(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_86,c_0_87]),c_0_43]),c_0_44]),c_0_45]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_95,negated_conjecture,
( ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,X1),esk8_0),X2),X3))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X4),esk5_0),X5),X6))
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool)
| ~ mem(X3,arr(X1,esk2_0))
| ~ mem(X5,arr(esk1_0,X4))
| ~ mem(X2,arr(esk2_0,X1))
| ~ mem(X6,arr(X4,esk1_0))
| ~ ne(X1)
| ~ ne(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_69,c_0_87]),c_0_43]),c_0_44]),c_0_45]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_96,negated_conjecture,
p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_88,c_0_68]),c_0_74]),c_0_75]),c_0_76])]) ).
cnf(c_0_97,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| mem(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_89,c_0_60]),c_0_43]),c_0_44]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_98,negated_conjecture,
( ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0))
| ~ mem(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0),bool) ),
inference(pm,[status(thm)],[c_0_90,c_0_30]) ).
cnf(c_0_99,negated_conjecture,
( ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( ~ p(ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk11_0))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_93,c_0_60]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_101,negated_conjecture,
( ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X2),X3))
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool)
| ~ mem(X2,arr(esk1_0,X1))
| ~ mem(X3,arr(X1,esk1_0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_94,c_0_64]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_102,negated_conjecture,
( ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X2),X3))
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool)
| ~ mem(X2,arr(esk1_0,X1))
| ~ mem(X3,arr(X1,esk1_0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_95,c_0_64]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_103,negated_conjecture,
( ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0) = ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_54,c_0_96]),c_0_97]) ).
cnf(c_0_104,negated_conjecture,
( ap(ap(c_2Equotient_2Erespects(arr(esk1_0,esk2_0),bool),ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0)),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_98,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_105,negated_conjecture,
( ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,X1),esk8_0),X2),X3))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X4),esk5_0),X5),X6))
| ~ mem(X3,arr(X1,esk2_0))
| ~ mem(X5,arr(esk1_0,X4))
| ~ mem(X2,arr(esk2_0,X1))
| ~ mem(X6,arr(X4,esk1_0))
| ~ ne(X1)
| ~ ne(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_86,c_0_99]),c_0_43]),c_0_44]),c_0_45]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_106,negated_conjecture,
( ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_100,c_0_60]),c_0_43]),c_0_44]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_107,negated_conjecture,
( ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_101,c_0_68]),c_0_74]),c_0_75]),c_0_76])]) ).
cnf(c_0_108,negated_conjecture,
( ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0))
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_102,c_0_68]),c_0_74]),c_0_75]),c_0_76])]) ).
cnf(c_0_109,negated_conjecture,
( ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(pm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_110,negated_conjecture,
( ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X2),X3))
| ~ mem(X2,arr(esk1_0,X1))
| ~ mem(X3,arr(X1,esk1_0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_105,c_0_64]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_111,negated_conjecture,
( ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),bool)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_106,c_0_107]),c_0_87]),c_0_108]) ).
cnf(c_0_112,negated_conjecture,
( ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,X1),esk8_0),X2),X3))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X4),esk5_0),X5),X6))
| ~ mem(X3,arr(X1,esk2_0))
| ~ mem(X5,arr(esk1_0,X4))
| ~ mem(X2,arr(esk2_0,X1))
| ~ mem(X6,arr(X4,esk1_0))
| ~ ne(X1)
| ~ ne(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_86,c_0_109]),c_0_43]),c_0_44]),c_0_45]),c_0_58]),c_0_46]),c_0_47])]) ).
cnf(c_0_113,negated_conjecture,
( ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_96])]) ).
cnf(c_0_114,negated_conjecture,
( ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_110,c_0_68]),c_0_74]),c_0_75]),c_0_76])]) ).
cnf(c_0_115,negated_conjecture,
( ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0)
| ~ mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_111,c_0_82]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_116,negated_conjecture,
( mem(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X2),X3),bool)
| ~ mem(X3,arr(X1,esk1_0))
| ~ mem(X2,arr(esk1_0,X1))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_44]),c_0_47])]) ).
cnf(c_0_117,negated_conjecture,
( ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X2),X3))
| ~ mem(X2,arr(esk1_0,X1))
| ~ mem(X3,arr(X1,esk1_0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_112,c_0_64]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_118,plain,
( p(ap(ap(X3,X6),X7))
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X4,arr(X1,X2))
| ~ mem(X5,arr(X2,X1))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X1,X2),X3),X4),X5))
| ~ mem(X6,X1)
| ~ mem(X7,X1)
| ap(X4,X6) != ap(X4,X7)
| ~ p(ap(ap(X3,X7),X7))
| ~ p(ap(ap(X3,X6),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_119,negated_conjecture,
ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_113,c_0_114]),c_0_99]) ).
cnf(c_0_120,negated_conjecture,
ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_115,c_0_116]),c_0_75]),c_0_74]),c_0_76])]) ).
cnf(c_0_121,negated_conjecture,
( ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0)
| p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_117,c_0_68]),c_0_74]),c_0_75]),c_0_76])]) ).
cnf(c_0_122,plain,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),X5),X6))
| ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X7,X2,X1,X8),X9),X10),X5) != ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X7,X2,X1,X8),X9),X10),X6)
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),X6),X6))
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(X1,X2),X3),X4),X5),X5))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X2,X8),X4),X10),X11))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(X1,X7),X3),X12),X9))
| ~ mem(X4,arr(X2,arr(X2,bool)))
| ~ mem(X3,arr(X1,arr(X1,bool)))
| ~ mem(X6,arr(X1,X2))
| ~ mem(X5,arr(X1,X2))
| ~ mem(X11,arr(X8,X2))
| ~ mem(X12,arr(X1,X7))
| ~ mem(X10,arr(X2,X8))
| ~ mem(X9,arr(X7,X1))
| ~ ne(X8)
| ~ ne(X7)
| ~ ne(X2)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_118,c_0_49]),c_0_34]),c_0_34]),c_0_50]),c_0_50]),c_0_32]) ).
cnf(c_0_123,negated_conjecture,
ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk12_0),esk12_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),
inference(rw,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,negated_conjecture,
ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,esk4_0),esk8_0),esk9_0),esk10_0),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_113,c_0_121]),c_0_109]) ).
cnf(c_0_125,negated_conjecture,
( p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),X1),esk12_0))
| ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X2,esk2_0,esk1_0,X3),X4),X5),X1) != ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X2,esk2_0,esk1_0,X3),X4),X5),esk12_0)
| ~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),X1),X1))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,X3),esk8_0),X5),X6))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X2),esk5_0),X7),X4))
| ~ mem(X1,arr(esk1_0,esk2_0))
| ~ mem(X6,arr(X3,esk2_0))
| ~ mem(X7,arr(esk1_0,X2))
| ~ mem(X5,arr(esk2_0,X3))
| ~ mem(X4,arr(X2,esk1_0))
| ~ ne(X3)
| ~ ne(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_122,c_0_123]),c_0_68]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_126,negated_conjecture,
ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk11_0) = ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,esk3_0),esk5_0),esk6_0),esk7_0),
inference(rw,[status(thm)],[c_0_124,c_0_120]) ).
cnf(c_0_127,negated_conjecture,
~ p(ap(ap(ap(ap(c_2Equotient_2E_3D_3D_3D_3E(esk1_0,esk2_0),esk5_0),esk8_0),esk11_0),esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_119]),c_0_64])]) ).
cnf(c_0_128,negated_conjecture,
( ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,esk2_0,esk1_0,X2),X3),X4),esk12_0) != ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,esk2_0,esk1_0,X2),X3),X4),esk11_0)
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk2_0,X2),esk8_0),X4),X5))
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X6),X3))
| ~ mem(X5,arr(X2,esk2_0))
| ~ mem(X6,arr(esk1_0,X1))
| ~ mem(X4,arr(esk2_0,X2))
| ~ mem(X3,arr(X1,esk1_0))
| ~ ne(X2)
| ~ ne(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_125,c_0_126]),c_0_68]),c_0_58])]),c_0_127]) ).
cnf(c_0_129,negated_conjecture,
( ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,esk2_0,esk1_0,esk4_0),X2),esk9_0),esk12_0) != ap(ap(ap(c_2Equotient_2E_2D_2D_3E(X1,esk2_0,esk1_0,esk4_0),X2),esk9_0),esk11_0)
| ~ p(ap(ap(ap(c_2Equotient_2EQUOTIENT(esk1_0,X1),esk5_0),X3),X2))
| ~ mem(X3,arr(esk1_0,X1))
| ~ mem(X2,arr(X1,esk1_0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_128,c_0_120]),c_0_68]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_129,c_0_68]),c_0_85]),c_0_74]),c_0_75]),c_0_76])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP009+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 2 12:07:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/23.40 eprover: CPU time limit exceeded, terminating
% 0.36/23.40 eprover: CPU time limit exceeded, terminating
% 0.36/23.41 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.36/23.41
% 0.49/46.42 eprover: eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.49/46.42
% 0.49/46.42
% 0.49/46.42 eprover: CPU time limit exceeded, terminating
% 0.50/47.68 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.50/47.68
% 0.50/47.68 # Failure: Resource limit exceeded (time)
% 0.50/47.68 # OLD status Res
% 0.50/47.68 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.50/47.68 # Preprocessing time : 0.019 s
% 0.50/47.68 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.50/47.68
% 0.50/47.68 # Failure: Resource limit exceeded (time)
% 0.50/47.68 # OLD status Res
% 0.50/47.68 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.50/47.68 # Preprocessing time : 0.010 s
% 0.50/47.68 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.50/47.68 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.50/47.68 # Preprocessing time : 0.033 s
% 0.50/47.68
% 0.50/47.68 # Proof found!
% 0.50/47.68 # SZS status Theorem
% 0.50/47.68 # SZS output start CNFRefutation
% See solution above
% 0.50/47.68 # Proof object total steps : 131
% 0.50/47.68 # Proof object clause steps : 105
% 0.50/47.68 # Proof object formula steps : 26
% 0.50/47.68 # Proof object conjectures : 77
% 0.50/47.68 # Proof object clause conjectures : 74
% 0.50/47.68 # Proof object formula conjectures : 3
% 0.50/47.68 # Proof object initial clauses used : 33
% 0.50/47.68 # Proof object initial formulas used : 13
% 0.50/47.68 # Proof object generating inferences : 67
% 0.50/47.68 # Proof object simplifying inferences : 237
% 0.50/47.68 # Training examples: 0 positive, 0 negative
% 0.50/47.68 # Parsed axioms : 37
% 0.50/47.68 # Removed by relevancy pruning/SinE : 18
% 0.50/47.68 # Initial clauses : 55
% 0.50/47.68 # Removed in clause preprocessing : 16
% 0.50/47.68 # Initial clauses in saturation : 39
% 0.50/47.68 # Processed clauses : 1388
% 0.50/47.68 # ...of these trivial : 15
% 0.50/47.68 # ...subsumed : 507
% 0.50/47.68 # ...remaining for further processing : 866
% 0.50/47.68 # Other redundant clauses eliminated : 0
% 0.50/47.68 # Clauses deleted for lack of memory : 0
% 0.50/47.68 # Backward-subsumed : 78
% 0.50/47.68 # Backward-rewritten : 216
% 0.50/47.68 # Generated clauses : 7502
% 0.50/47.68 # ...of the previous two non-trivial : 7466
% 0.50/47.68 # Contextual simplify-reflections : 581
% 0.50/47.68 # Paramodulations : 7488
% 0.50/47.68 # Factorizations : 0
% 0.50/47.68 # Equation resolutions : 7
% 0.50/47.68 # Current number of processed clauses : 565
% 0.50/47.68 # Positive orientable unit clauses : 26
% 0.50/47.68 # Positive unorientable unit clauses: 0
% 0.50/47.68 # Negative unit clauses : 1
% 0.50/47.68 # Non-unit-clauses : 538
% 0.50/47.68 # Current number of unprocessed clauses: 4561
% 0.50/47.68 # ...number of literals in the above : 37468
% 0.50/47.68 # Current number of archived formulas : 0
% 0.50/47.68 # Current number of archived clauses : 301
% 0.50/47.68 # Clause-clause subsumption calls (NU) : 315038
% 0.50/47.68 # Rec. Clause-clause subsumption calls : 14364
% 0.50/47.68 # Non-unit clause-clause subsumptions : 1165
% 0.50/47.68 # Unit Clause-clause subsumption calls : 2755
% 0.50/47.68 # Rewrite failures with RHS unbound : 0
% 0.50/47.68 # BW rewrite match attempts : 16
% 0.50/47.68 # BW rewrite match successes : 13
% 0.50/47.68 # Condensation attempts : 0
% 0.50/47.68 # Condensation successes : 0
% 0.50/47.68 # Termbank termtop insertions : 313903
% 0.50/47.68
% 0.50/47.68 # -------------------------------------------------
% 0.50/47.68 # User time : 0.445 s
% 0.50/47.68 # System time : 0.005 s
% 0.50/47.68 # Total time : 0.450 s
% 0.50/47.68 # Maximum resident set size: 13344 pages
% 0.50/69.43 eprover: CPU time limit exceeded, terminating
% 0.50/69.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.45 eprover: No such file or directory
% 0.50/69.45 eprover: CPU time limit exceeded, terminating
% 0.50/69.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.46 eprover: No such file or directory
% 0.50/69.46 eprover: CPU time limit exceeded, terminating
% 0.50/69.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.46 eprover: No such file or directory
% 0.50/69.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.46 eprover: No such file or directory
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.50 eprover: No such file or directory
% 0.50/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.50 eprover: No such file or directory
% 0.50/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.50 eprover: No such file or directory
% 0.50/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.50 eprover: No such file or directory
% 0.50/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.50 eprover: No such file or directory
% 0.50/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.51 eprover: No such file or directory
% 0.50/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.51 eprover: No such file or directory
%------------------------------------------------------------------------------