TSTP Solution File: ITP004+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP004+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 22:45:42 EDT 2022
% Result : Theorem 0.24s 2.44s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 17
% Syntax : Number of formulae : 134 ( 17 unt; 0 def)
% Number of atoms : 481 ( 55 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 586 ( 239 ~; 294 |; 13 &)
% ( 6 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 194 ( 2 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax_all_p,axiom,
! [X1] :
( ne(X1)
=> ! [X5] :
( mem(X5,arr(X1,bool))
=> ( p(ap(c_2Ebool_2E_21(X1),X5))
<=> ! [X4] :
( mem(X4,X1)
=> p(ap(X5,X4)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax_all_p) ).
fof(mem_c_2Ebool_2E_7E,axiom,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Ebool_2E_7E) ).
fof(bool_ne,axiom,
ne(bool),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',bool_ne) ).
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_2Epred__set_2ESUBSET,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Epred__set_2ESUBSET(X9),arr(arr(X9,bool),arr(arr(X9,bool),bool))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Epred__set_2ESUBSET) ).
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(conj_thm_2Epred__set_2EREST__SUBSET,conjecture,
! [X9] :
( ne(X9)
=> ! [X10] :
( mem(X10,arr(X9,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(c_2Epred__set_2EREST(X9),X10)),X10)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).
fof(ax_neg_p,axiom,
! [X5] :
( mem(X5,bool)
=> ( p(ap(c_2Ebool_2E_7E,X5))
<=> ~ p(X5) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax_neg_p) ).
fof(mem_c_2Epred__set_2EREST,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Epred__set_2EREST(X9),arr(arr(X9,bool),arr(X9,bool))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Epred__set_2EREST) ).
fof(mem_c_2Ebool_2E_21,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Ebool_2E_21(X9),arr(arr(X9,bool),bool)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Ebool_2E_21) ).
fof(ax_eq_p,axiom,
! [X1] :
( ne(X1)
=> ! [X4] :
( mem(X4,X1)
=> ! [X8] :
( mem(X8,X1)
=> ( p(ap(ap(c_2Emin_2E_3D(X1),X4),X8))
<=> X4 = X8 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax_eq_p) ).
fof(mem_c_2Emin_2E_3D,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Emin_2E_3D(X9),arr(X9,arr(X9,bool))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Emin_2E_3D) ).
fof(ax_thm_2Epred__set_2ESUBSET__DEF,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( mem(X10,arr(X9,bool))
=> ! [X11] :
( mem(X11,arr(X9,bool))
=> ( p(ap(ap(c_2Epred__set_2ESUBSET(X9),X10),X11))
<=> ! [X12] :
( mem(X12,X9)
=> ( p(ap(ap(c_2Ebool_2EIN(X9),X12),X10))
=> p(ap(ap(c_2Ebool_2EIN(X9),X12),X11)) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF) ).
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_2Epred__set_2EIN__DELETE,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( mem(X10,arr(X9,bool))
=> ! [X13] :
( mem(X13,X9)
=> ! [X14] :
( mem(X14,X9)
=> ( p(ap(ap(c_2Ebool_2EIN(X9),X13),ap(ap(c_2Epred__set_2EDELETE(X9),X10),X14)))
<=> ( p(ap(ap(c_2Ebool_2EIN(X9),X13),X10))
& X13 != X14 ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE) ).
fof(mem_c_2Epred__set_2ECHOICE,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Epred__set_2ECHOICE(X9),arr(arr(X9,bool),X9)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).
fof(ax_thm_2Epred__set_2EREST__DEF,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( mem(X10,arr(X9,bool))
=> ap(c_2Epred__set_2EREST(X9),X10) = ap(ap(c_2Epred__set_2EDELETE(X9),X10),ap(c_2Epred__set_2ECHOICE(X9),X10)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).
fof(c_0_17,plain,
! [X6,X7,X8] :
( ( ~ p(ap(c_2Ebool_2E_21(X6),X7))
| ~ mem(X8,X6)
| p(ap(X7,X8))
| ~ mem(X7,arr(X6,bool))
| ~ ne(X6) )
& ( mem(esk2_2(X6,X7),X6)
| p(ap(c_2Ebool_2E_21(X6),X7))
| ~ mem(X7,arr(X6,bool))
| ~ ne(X6) )
& ( ~ p(ap(X7,esk2_2(X6,X7)))
| p(ap(c_2Ebool_2E_21(X6),X7))
| ~ mem(X7,arr(X6,bool))
| ~ ne(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[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)],[ax_all_p])])])])])])]) ).
cnf(c_0_18,plain,
( p(ap(c_2Ebool_2E_21(X1),X2))
| mem(esk2_2(X1,X2),X1)
| ~ ne(X1)
| ~ mem(X2,arr(X1,bool)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_19,plain,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2E_7E]) ).
cnf(c_0_20,plain,
ne(bool),
inference(split_conjunct,[status(thm)],[bool_ne]) ).
fof(c_0_21,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])])])])]) ).
cnf(c_0_22,plain,
( p(ap(X2,X3))
| ~ ne(X1)
| ~ mem(X2,arr(X1,bool))
| ~ mem(X3,X1)
| ~ p(ap(c_2Ebool_2E_21(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| mem(esk2_2(bool,c_2Ebool_2E_7E),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_25,plain,
! [X10] :
( ~ ne(X10)
| mem(c_2Epred__set_2ESUBSET(X10),arr(arr(X10,bool),arr(arr(X10,bool),bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2ESUBSET])]) ).
cnf(c_0_26,plain,
( p(ap(c_2Ebool_2E_7E,X1))
| mem(esk2_2(bool,c_2Ebool_2E_7E),bool)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19]),c_0_20])]) ).
cnf(c_0_27,plain,
( mem(ap(c_2Ebool_2E_7E,X1),bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_28,plain,
( mem(c_2Epred__set_2ESUBSET(X1),arr(arr(X1,bool),arr(arr(X1,bool),bool)))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( p(ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1)))
| mem(esk2_2(bool,c_2Ebool_2E_7E),bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_30,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])])])])])]) ).
cnf(c_0_31,plain,
( mem(ap(c_2Epred__set_2ESUBSET(X1),X2),arr(arr(X1,bool),bool))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_28]) ).
fof(c_0_32,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ! [X10] :
( mem(X10,arr(X9,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(c_2Epred__set_2EREST(X9),X10)),X10)) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Epred__set_2EREST__SUBSET]) ).
fof(c_0_33,plain,
! [X6] :
( ( ~ p(ap(c_2Ebool_2E_7E,X6))
| ~ p(X6)
| ~ mem(X6,bool) )
& ( p(X6)
| p(ap(c_2Ebool_2E_7E,X6))
| ~ mem(X6,bool) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax_neg_p])])])]) ).
cnf(c_0_34,plain,
( p(ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1))))
| mem(esk2_2(bool,c_2Ebool_2E_7E),bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
cnf(c_0_35,plain,
( X1 = X2
| p(X2)
| p(X1)
| ~ mem(X1,bool)
| ~ mem(X2,bool) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( mem(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3),bool)
| ~ mem(X3,arr(X1,bool))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_31]) ).
fof(c_0_37,negated_conjecture,
( ne(esk4_0)
& mem(esk5_0,arr(esk4_0,bool))
& ~ p(ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0)) ),
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_32])])])])]) ).
fof(c_0_38,plain,
! [X10] :
( ~ ne(X10)
| mem(c_2Epred__set_2EREST(X10),arr(arr(X10,bool),arr(X10,bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2EREST])]) ).
cnf(c_0_39,plain,
( ~ mem(X1,bool)
| ~ p(X1)
| ~ p(ap(c_2Ebool_2E_7E,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( p(ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1)))))
| mem(esk2_2(bool,c_2Ebool_2E_7E),bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_34,c_0_27]) ).
cnf(c_0_41,plain,
( X1 = ap(ap(c_2Epred__set_2ESUBSET(X2),X3),X4)
| p(ap(ap(c_2Epred__set_2ESUBSET(X2),X3),X4))
| p(X1)
| ~ mem(X4,arr(X2,bool))
| ~ mem(X3,arr(X2,bool))
| ~ mem(X1,bool)
| ~ ne(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
mem(esk5_0,arr(esk4_0,bool)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
ne(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( mem(c_2Epred__set_2EREST(X1),arr(arr(X1,bool),arr(X1,bool)))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
( mem(esk2_2(bool,c_2Ebool_2E_7E),bool)
| ~ mem(ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1))),bool)
| ~ mem(X1,bool) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34]) ).
fof(c_0_46,plain,
! [X10] :
( ~ ne(X10)
| mem(c_2Ebool_2E_21(X10),arr(arr(X10,bool),bool)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ebool_2E_21])]) ).
cnf(c_0_47,negated_conjecture,
( X1 = ap(ap(c_2Epred__set_2ESUBSET(esk4_0),X2),esk5_0)
| p(ap(ap(c_2Epred__set_2ESUBSET(esk4_0),X2),esk5_0))
| p(X1)
| ~ mem(X2,arr(esk4_0,bool))
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_48,plain,
( mem(ap(c_2Epred__set_2EREST(X1),X2),arr(X1,bool))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_44]) ).
cnf(c_0_49,plain,
( mem(esk2_2(bool,c_2Ebool_2E_7E),bool)
| ~ mem(ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,X1)),bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_45,c_0_27]) ).
cnf(c_0_50,plain,
( mem(c_2Ebool_2E_21(X1),arr(arr(X1,bool),bool))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_51,plain,
! [X9,X10,X11] :
( ( ~ p(ap(ap(c_2Emin_2E_3D(X9),X10),X11))
| X10 = X11
| ~ mem(X11,X9)
| ~ mem(X10,X9)
| ~ ne(X9) )
& ( X10 != X11
| p(ap(ap(c_2Emin_2E_3D(X9),X10),X11))
| ~ mem(X11,X9)
| ~ mem(X10,X9)
| ~ ne(X9) ) ),
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)],[ax_eq_p])])])])])]) ).
fof(c_0_52,plain,
! [X10] :
( ~ ne(X10)
| mem(c_2Emin_2E_3D(X10),arr(X10,arr(X10,bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Emin_2E_3D])]) ).
cnf(c_0_53,negated_conjecture,
( X1 = ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),X2)),esk5_0)
| p(ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),X2)),esk5_0))
| p(X1)
| ~ mem(X2,arr(esk4_0,bool))
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_43])]) ).
cnf(c_0_54,negated_conjecture,
~ p(ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_55,plain,
( mem(esk2_2(bool,c_2Ebool_2E_7E),bool)
| ~ mem(X1,bool) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_27]),c_0_27]) ).
cnf(c_0_56,plain,
( mem(ap(c_2Ebool_2E_21(X1),X2),bool)
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_50]) ).
cnf(c_0_57,plain,
( X1 = X2
| ~ mem(X1,bool)
| ~ mem(X2,bool)
| ~ p(X2)
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_58,plain,
( p(ap(c_2Ebool_2E_7E,X1))
| p(X1)
| ~ mem(X1,bool) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_59,plain,
( p(ap(ap(c_2Emin_2E_3D(X1),X2),X3))
| ~ ne(X1)
| ~ mem(X2,X1)
| ~ mem(X3,X1)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
( mem(c_2Emin_2E_3D(X1),arr(X1,arr(X1,bool)))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( X1 = ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0)
| p(X1)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_42]),c_0_54]) ).
cnf(c_0_62,plain,
( mem(esk2_2(bool,c_2Ebool_2E_7E),bool)
| ~ mem(X1,arr(X2,bool))
| ~ ne(X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,plain,
( X1 = ap(c_2Ebool_2E_7E,X2)
| p(X2)
| ~ p(X1)
| ~ mem(ap(c_2Ebool_2E_7E,X2),bool)
| ~ mem(X1,bool)
| ~ mem(X2,bool) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
( p(ap(ap(c_2Emin_2E_3D(X1),X2),X2))
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( mem(ap(c_2Emin_2E_3D(X1),X2),arr(X1,bool))
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( ap(c_2Ebool_2E_7E,X1) = ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0)
| p(ap(c_2Ebool_2E_7E,X1))
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_61,c_0_27]) ).
cnf(c_0_67,negated_conjecture,
mem(esk2_2(bool,c_2Ebool_2E_7E),bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_42]),c_0_43])]) ).
cnf(c_0_68,plain,
( ap(ap(c_2Emin_2E_3D(X1),X2),X2) = ap(c_2Ebool_2E_7E,X3)
| p(X3)
| ~ mem(ap(ap(c_2Emin_2E_3D(X1),X2),X2),bool)
| ~ mem(X3,bool)
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_27]) ).
cnf(c_0_69,plain,
( mem(ap(ap(c_2Emin_2E_3D(X1),X2),X3),bool)
| ~ mem(X3,X1)
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0) = ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E))
| p(ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E))) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,plain,
( ap(ap(c_2Emin_2E_3D(X1),X2),X2) = ap(c_2Ebool_2E_7E,X3)
| p(X3)
| ~ mem(X3,bool)
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( p(ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)))
| mem(ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)),bool)
| ~ mem(ap(c_2Epred__set_2EREST(esk4_0),esk5_0),arr(esk4_0,bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_70]),c_0_42]),c_0_43])]) ).
cnf(c_0_73,negated_conjecture,
( ap(ap(c_2Emin_2E_3D(X1),X2),X2) = ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E))
| p(esk2_2(bool,c_2Ebool_2E_7E))
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( mem(ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)),bool)
| ~ p(esk2_2(bool,c_2Ebool_2E_7E))
| ~ mem(ap(c_2Epred__set_2EREST(esk4_0),esk5_0),arr(esk4_0,bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_72]),c_0_67])]) ).
cnf(c_0_75,plain,
( X1 = ap(c_2Ebool_2E_21(X2),X3)
| p(ap(c_2Ebool_2E_21(X2),X3))
| p(X1)
| ~ mem(X3,arr(X2,bool))
| ~ mem(X1,bool)
| ~ ne(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_56]) ).
cnf(c_0_76,negated_conjecture,
( ap(ap(c_2Emin_2E_3D(bool),esk2_2(bool,c_2Ebool_2E_7E)),esk2_2(bool,c_2Ebool_2E_7E)) = ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E))
| p(esk2_2(bool,c_2Ebool_2E_7E)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_67]),c_0_20])]) ).
cnf(c_0_77,negated_conjecture,
( mem(ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)),bool)
| ~ p(esk2_2(bool,c_2Ebool_2E_7E)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_48]),c_0_42]),c_0_43])]) ).
cnf(c_0_78,plain,
( X1 = ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_19]),c_0_20])]) ).
cnf(c_0_79,negated_conjecture,
mem(ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)),bool),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_76]),c_0_67]),c_0_20])]),c_0_77]) ).
cnf(c_0_80,negated_conjecture,
( ap(ap(c_2Emin_2E_3D(arr(esk4_0,bool)),esk5_0),esk5_0) = ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E))
| p(esk2_2(bool,c_2Ebool_2E_7E))
| ~ ne(arr(esk4_0,bool)) ),
inference(spm,[status(thm)],[c_0_73,c_0_42]) ).
cnf(c_0_81,plain,
( p(ap(c_2Ebool_2E_21(X1),X2))
| ~ ne(X1)
| ~ mem(X2,arr(X1,bool))
| ~ p(ap(X2,esk2_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_82,negated_conjecture,
( ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)) = ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)))
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,plain,
( X1 = ap(ap(c_2Emin_2E_3D(X2),X3),X3)
| ~ p(X1)
| ~ mem(ap(ap(c_2Emin_2E_3D(X2),X3),X3),bool)
| ~ mem(X1,bool)
| ~ mem(X3,X2)
| ~ ne(X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_64]) ).
cnf(c_0_84,negated_conjecture,
( p(ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)))
| p(esk2_2(bool,c_2Ebool_2E_7E))
| ~ ne(arr(esk4_0,bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_80]),c_0_42])]) ).
cnf(c_0_85,negated_conjecture,
( ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)) = ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_19]),c_0_20])]) ).
fof(c_0_86,plain,
! [X13,X14,X15,X16] :
( ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(X13),X14),X15))
| ~ mem(X16,X13)
| ~ p(ap(ap(c_2Ebool_2EIN(X13),X16),X14))
| p(ap(ap(c_2Ebool_2EIN(X13),X16),X15))
| ~ mem(X15,arr(X13,bool))
| ~ mem(X14,arr(X13,bool))
| ~ ne(X13) )
& ( mem(esk3_3(X13,X14,X15),X13)
| p(ap(ap(c_2Epred__set_2ESUBSET(X13),X14),X15))
| ~ mem(X15,arr(X13,bool))
| ~ mem(X14,arr(X13,bool))
| ~ ne(X13) )
& ( p(ap(ap(c_2Ebool_2EIN(X13),esk3_3(X13,X14,X15)),X14))
| p(ap(ap(c_2Epred__set_2ESUBSET(X13),X14),X15))
| ~ mem(X15,arr(X13,bool))
| ~ mem(X14,arr(X13,bool))
| ~ ne(X13) )
& ( ~ p(ap(ap(c_2Ebool_2EIN(X13),esk3_3(X13,X14,X15)),X15))
| p(ap(ap(c_2Epred__set_2ESUBSET(X13),X14),X15))
| ~ mem(X15,arr(X13,bool))
| ~ mem(X14,arr(X13,bool))
| ~ ne(X13) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[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)],[ax_thm_2Epred__set_2ESUBSET__DEF])])])])])])]) ).
cnf(c_0_87,plain,
( X1 = ap(ap(c_2Emin_2E_3D(X2),X3),X3)
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X3,X2)
| ~ ne(X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_69]) ).
cnf(c_0_88,negated_conjecture,
( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| p(esk2_2(bool,c_2Ebool_2E_7E))
| ~ ne(arr(esk4_0,bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_84]),c_0_19]),c_0_20])]) ).
fof(c_0_89,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_90,negated_conjecture,
( ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)) = ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_7E,X1))
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_85]),c_0_19]),c_0_20])]) ).
cnf(c_0_91,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))
| ~ ne(X1)
| ~ mem(X2,arr(X1,bool))
| ~ mem(X3,arr(X1,bool))
| ~ p(ap(ap(c_2Ebool_2EIN(X1),esk3_3(X1,X2,X3)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_92,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))
| p(ap(ap(c_2Ebool_2EIN(X1),esk3_3(X1,X2,X3)),X2))
| ~ ne(X1)
| ~ mem(X2,arr(X1,bool))
| ~ mem(X3,arr(X1,bool)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_93,negated_conjecture,
( ap(ap(c_2Emin_2E_3D(X1),X2),X2) = esk2_2(bool,c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| ~ mem(X2,X1)
| ~ ne(arr(esk4_0,bool))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_67])]) ).
cnf(c_0_94,plain,
( ne(arr(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_95,plain,
( p(ap(c_2Ebool_2E_21(X1),c_2Ebool_2E_7E))
| p(esk2_2(X1,c_2Ebool_2E_7E))
| ~ mem(c_2Ebool_2E_7E,arr(X1,bool))
| ~ mem(esk2_2(X1,c_2Ebool_2E_7E),bool)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_58]) ).
cnf(c_0_96,negated_conjecture,
( ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)) = ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)))) ),
inference(spm,[status(thm)],[c_0_90,c_0_79]) ).
cnf(c_0_97,negated_conjecture,
( ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)) = ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E))) ),
inference(spm,[status(thm)],[c_0_90,c_0_67]) ).
cnf(c_0_98,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X2))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
( ap(ap(c_2Emin_2E_3D(X1),X2),X2) = esk2_2(bool,c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_20]),c_0_43])]) ).
cnf(c_0_100,plain,
( esk2_2(X1,c_2Ebool_2E_7E) = ap(c_2Ebool_2E_7E,X2)
| p(ap(c_2Ebool_2E_21(X1),c_2Ebool_2E_7E))
| p(X2)
| ~ mem(esk2_2(X1,c_2Ebool_2E_7E),bool)
| ~ mem(c_2Ebool_2E_7E,arr(X1,bool))
| ~ mem(X2,bool)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_95]),c_0_27]) ).
cnf(c_0_101,negated_conjecture,
ap(c_2Ebool_2E_7E,esk2_2(bool,c_2Ebool_2E_7E)) = ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_96]),c_0_79])]),c_0_97]) ).
cnf(c_0_102,plain,
( X1 = ap(ap(c_2Epred__set_2ESUBSET(X2),X3),X3)
| ~ p(X1)
| ~ mem(ap(ap(c_2Epred__set_2ESUBSET(X2),X3),X3),bool)
| ~ mem(X3,arr(X2,bool))
| ~ mem(X1,bool)
| ~ ne(X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
( ap(ap(c_2Emin_2E_3D(bool),esk2_2(bool,c_2Ebool_2E_7E)),esk2_2(bool,c_2Ebool_2E_7E)) = esk2_2(bool,c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_67]),c_0_20])]) ).
cnf(c_0_104,negated_conjecture,
( esk2_2(bool,c_2Ebool_2E_7E) = ap(c_2Ebool_2E_7E,X1)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_67]),c_0_19]),c_0_20])]) ).
cnf(c_0_105,negated_conjecture,
mem(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E),bool),
inference(rw,[status(thm)],[c_0_79,c_0_101]) ).
cnf(c_0_106,plain,
( X1 = ap(ap(c_2Epred__set_2ESUBSET(X2),X3),X3)
| ~ p(X1)
| ~ mem(X3,arr(X2,bool))
| ~ mem(X1,bool)
| ~ ne(X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_36]) ).
cnf(c_0_107,negated_conjecture,
( p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| p(esk2_2(bool,c_2Ebool_2E_7E)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_103]),c_0_67]),c_0_20])]) ).
cnf(c_0_108,negated_conjecture,
( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) = esk2_2(bool,c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X2) = esk2_2(bool,c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_67])]) ).
cnf(c_0_110,negated_conjecture,
( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) = esk2_2(bool,c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_7E,X1))
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_108]),c_0_19]),c_0_20])]) ).
cnf(c_0_111,negated_conjecture,
( ap(ap(c_2Epred__set_2ESUBSET(esk4_0),esk5_0),esk5_0) = esk2_2(bool,c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_42]),c_0_43])]) ).
cnf(c_0_112,negated_conjecture,
( ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) = esk2_2(bool,c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))) ),
inference(spm,[status(thm)],[c_0_110,c_0_105]) ).
cnf(c_0_113,negated_conjecture,
( ap(ap(c_2Epred__set_2ESUBSET(esk4_0),esk5_0),esk5_0) = esk2_2(bool,c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_7E,X1))
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_111]),c_0_19]),c_0_20])]) ).
cnf(c_0_114,negated_conjecture,
ap(c_2Ebool_2E_7E,ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) = esk2_2(bool,c_2Ebool_2E_7E),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_112]),c_0_105])]),c_0_108]) ).
fof(c_0_115,plain,
! [X15,X16,X17,X18] :
( ( p(ap(ap(c_2Ebool_2EIN(X15),X17),X16))
| ~ p(ap(ap(c_2Ebool_2EIN(X15),X17),ap(ap(c_2Epred__set_2EDELETE(X15),X16),X18)))
| ~ mem(X18,X15)
| ~ mem(X17,X15)
| ~ mem(X16,arr(X15,bool))
| ~ ne(X15) )
& ( X17 != X18
| ~ p(ap(ap(c_2Ebool_2EIN(X15),X17),ap(ap(c_2Epred__set_2EDELETE(X15),X16),X18)))
| ~ mem(X18,X15)
| ~ mem(X17,X15)
| ~ mem(X16,arr(X15,bool))
| ~ ne(X15) )
& ( ~ p(ap(ap(c_2Ebool_2EIN(X15),X17),X16))
| X17 = X18
| p(ap(ap(c_2Ebool_2EIN(X15),X17),ap(ap(c_2Epred__set_2EDELETE(X15),X16),X18)))
| ~ mem(X18,X15)
| ~ mem(X17,X15)
| ~ mem(X16,arr(X15,bool))
| ~ ne(X15) ) ),
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_2Epred__set_2EIN__DELETE])])])])])]) ).
fof(c_0_116,plain,
! [X10] :
( ~ ne(X10)
| mem(c_2Epred__set_2ECHOICE(X10),arr(arr(X10,bool),X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2ECHOICE])]) ).
cnf(c_0_117,negated_conjecture,
( ~ p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| ~ p(esk2_2(bool,c_2Ebool_2E_7E)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_101]),c_0_67])]) ).
cnf(c_0_118,negated_conjecture,
( ap(ap(c_2Epred__set_2ESUBSET(esk4_0),esk5_0),esk5_0) = esk2_2(bool,c_2Ebool_2E_7E)
| p(esk2_2(bool,c_2Ebool_2E_7E)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_105]),c_0_114]) ).
cnf(c_0_119,plain,
( p(ap(ap(c_2Ebool_2EIN(X1),X3),X2))
| ~ ne(X1)
| ~ mem(X2,arr(X1,bool))
| ~ mem(X3,X1)
| ~ mem(X4,X1)
| ~ p(ap(ap(c_2Ebool_2EIN(X1),X3),ap(ap(c_2Epred__set_2EDELETE(X1),X2),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_120,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))
| mem(esk3_3(X1,X2,X3),X1)
| ~ ne(X1)
| ~ mem(X2,arr(X1,bool))
| ~ mem(X3,arr(X1,bool)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_121,plain,
! [X11,X12] :
( ~ ne(X11)
| ~ mem(X12,arr(X11,bool))
| ap(c_2Epred__set_2EREST(X11),X12) = ap(ap(c_2Epred__set_2EDELETE(X11),X12),ap(c_2Epred__set_2ECHOICE(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_2Epred__set_2EREST__DEF])])])])]) ).
cnf(c_0_122,plain,
( mem(c_2Epred__set_2ECHOICE(X1),arr(arr(X1,bool),X1))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_123,negated_conjecture,
ap(ap(c_2Epred__set_2ESUBSET(esk4_0),esk5_0),esk5_0) = esk2_2(bool,c_2Ebool_2E_7E),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_111]) ).
cnf(c_0_124,plain,
( p(ap(ap(c_2Ebool_2EIN(X1),esk3_3(X1,ap(ap(c_2Epred__set_2EDELETE(X1),X2),X3),X4)),X2))
| p(ap(ap(c_2Epred__set_2ESUBSET(X1),ap(ap(c_2Epred__set_2EDELETE(X1),X2),X3)),X4))
| ~ mem(ap(ap(c_2Epred__set_2EDELETE(X1),X2),X3),arr(X1,bool))
| ~ mem(X2,arr(X1,bool))
| ~ mem(X4,arr(X1,bool))
| ~ mem(X3,X1)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_92]),c_0_120]) ).
cnf(c_0_125,plain,
( ap(c_2Epred__set_2EREST(X1),X2) = ap(ap(c_2Epred__set_2EDELETE(X1),X2),ap(c_2Epred__set_2ECHOICE(X1),X2))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_126,plain,
( mem(ap(c_2Epred__set_2ECHOICE(X1),X2),X1)
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
p(esk2_2(bool,c_2Ebool_2E_7E)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_123]),c_0_42]),c_0_43])]) ).
cnf(c_0_128,plain,
( p(ap(ap(c_2Ebool_2EIN(X1),esk3_3(X1,ap(c_2Epred__set_2EREST(X1),X2),X3)),X2))
| p(ap(ap(c_2Epred__set_2ESUBSET(X1),ap(c_2Epred__set_2EREST(X1),X2)),X3))
| ~ mem(X2,arr(X1,bool))
| ~ mem(X3,arr(X1,bool))
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_48]) ).
cnf(c_0_129,negated_conjecture,
( ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0) = ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_101]),c_0_101]) ).
cnf(c_0_130,negated_conjecture,
~ p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_127])]) ).
cnf(c_0_131,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(X1),ap(c_2Epred__set_2EREST(X1),X2)),X2))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_128]),c_0_48]) ).
cnf(c_0_132,negated_conjecture,
ap(ap(c_2Epred__set_2ESUBSET(esk4_0),ap(c_2Epred__set_2EREST(esk4_0),esk5_0)),esk5_0) = ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E),
inference(sr,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_42]),c_0_43])]),c_0_130]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP004+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 3 02:16:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/2.44 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/2.44 # Preprocessing time : 0.018 s
% 0.24/2.44
% 0.24/2.44 # Proof found!
% 0.24/2.44 # SZS status Theorem
% 0.24/2.44 # SZS output start CNFRefutation
% See solution above
% 0.24/2.44 # Proof object total steps : 134
% 0.24/2.44 # Proof object clause steps : 101
% 0.24/2.44 # Proof object formula steps : 33
% 0.24/2.44 # Proof object conjectures : 48
% 0.24/2.44 # Proof object clause conjectures : 45
% 0.24/2.44 # Proof object formula conjectures : 3
% 0.24/2.44 # Proof object initial clauses used : 25
% 0.24/2.44 # Proof object initial formulas used : 17
% 0.24/2.44 # Proof object generating inferences : 71
% 0.24/2.44 # Proof object simplifying inferences : 94
% 0.24/2.44 # Training examples: 0 positive, 0 negative
% 0.24/2.44 # Parsed axioms : 27
% 0.24/2.44 # Removed by relevancy pruning/SinE : 0
% 0.24/2.44 # Initial clauses : 44
% 0.24/2.44 # Removed in clause preprocessing : 0
% 0.24/2.44 # Initial clauses in saturation : 44
% 0.24/2.44 # Processed clauses : 3323
% 0.24/2.44 # ...of these trivial : 10
% 0.24/2.44 # ...subsumed : 1561
% 0.24/2.44 # ...remaining for further processing : 1752
% 0.24/2.44 # Other redundant clauses eliminated : 4
% 0.24/2.44 # Clauses deleted for lack of memory : 0
% 0.24/2.44 # Backward-subsumed : 221
% 0.24/2.44 # Backward-rewritten : 110
% 0.24/2.44 # Generated clauses : 42533
% 0.24/2.44 # ...of the previous two non-trivial : 40170
% 0.24/2.44 # Contextual simplify-reflections : 2233
% 0.24/2.44 # Paramodulations : 42501
% 0.24/2.44 # Factorizations : 22
% 0.24/2.44 # Equation resolutions : 5
% 0.24/2.44 # Current number of processed clauses : 1414
% 0.24/2.44 # Positive orientable unit clauses : 18
% 0.24/2.44 # Positive unorientable unit clauses: 0
% 0.24/2.44 # Negative unit clauses : 2
% 0.24/2.44 # Non-unit-clauses : 1394
% 0.24/2.44 # Current number of unprocessed clauses: 31878
% 0.24/2.44 # ...number of literals in the above : 200256
% 0.24/2.44 # Current number of archived formulas : 0
% 0.24/2.44 # Current number of archived clauses : 336
% 0.24/2.44 # Clause-clause subsumption calls (NU) : 278837
% 0.24/2.44 # Rec. Clause-clause subsumption calls : 33833
% 0.24/2.44 # Non-unit clause-clause subsumptions : 3793
% 0.24/2.44 # Unit Clause-clause subsumption calls : 836
% 0.24/2.44 # Rewrite failures with RHS unbound : 0
% 0.24/2.44 # BW rewrite match attempts : 40
% 0.24/2.44 # BW rewrite match successes : 10
% 0.24/2.44 # Condensation attempts : 0
% 0.24/2.44 # Condensation successes : 0
% 0.24/2.44 # Termbank termtop insertions : 3041239
% 0.24/2.44
% 0.24/2.44 # -------------------------------------------------
% 0.24/2.44 # User time : 1.188 s
% 0.24/2.44 # System time : 0.020 s
% 0.24/2.44 # Total time : 1.208 s
% 0.24/2.44 # Maximum resident set size: 35196 pages
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------