TSTP Solution File: SWW470+5 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW470+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : Thu Jul 21 00:10:52 EDT 2022
% Result : Theorem 0.66s 58.85s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 50 unt; 0 def)
% Number of atoms : 85 ( 45 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 40 ( 16 ~; 15 |; 4 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 11 con; 0-7 aty)
% Number of variables : 162 ( 7 sgn 71 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tsy_c_hAPP_arg1,axiom,
! [X3,X2,X4,X5] : hAPP(X3,X2,ti(fun(X3,X2),X4),X5) = hAPP(X3,X2,X4,X5),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',tsy_c_hAPP_arg1) ).
fof(fact_54_the__sym__eq__trivial,axiom,
! [X1,X32] : hAPP(fun(X1,bool),X1,the(X1),hAPP(X1,fun(X1,bool),fequal(X1),X32)) = ti(X1,X32),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_54_the__sym__eq__trivial) ).
fof(fact_77_Collect__def,axiom,
! [X1,X16] : hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X16) = ti(fun(X1,bool),X16),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_77_Collect__def) ).
fof(conj_0,conjecture,
hBOOL(hAPP(fun(hoare_509422987triple(x_a),bool),bool,hAPP(fun(hoare_509422987triple(x_a),bool),fun(fun(hoare_509422987triple(x_a),bool),bool),hoare_122391849derivs(x_a),g),hAPP(fun(hoare_509422987triple(x_a),bool),fun(hoare_509422987triple(x_a),bool),hAPP(hoare_509422987triple(x_a),fun(fun(hoare_509422987triple(x_a),bool),fun(hoare_509422987triple(x_a),bool)),insert(hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a))),hoare_1008221573triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_509422987triple(x_a),bool))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(tsy_c_hAPP_arg2,axiom,
! [X3,X2,X4,X5] : hAPP(X3,X2,X4,ti(X3,X5)) = hAPP(X3,X2,X4,X5),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',tsy_c_hAPP_arg2) ).
fof(tsy_c_hAPP_res,axiom,
! [X2,X3,X4,X5] : ti(X2,hAPP(X3,X2,X4,X5)) = hAPP(X3,X2,X4,X5),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',tsy_c_hAPP_res) ).
fof(help_COMBK_1_1_U,axiom,
! [X1,X3,X65,X66] : hAPP(X1,X3,hAPP(X3,fun(X1,X3),combk(X3,X1),X65),X66) = ti(X3,X65),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',help_COMBK_1_1_U) ).
fof(fact_12_singleton__conv2,axiom,
! [X1,X26] : hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),fequal(X1),X26)) = hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X26),bot_bot(fun(X1,bool))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_12_singleton__conv2) ).
fof(fact_23_empty__def,axiom,
! [X1] : bot_bot(fun(X1,bool)) = hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(bool,fun(X1,bool),combk(bool,X1),fFalse)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_23_empty__def) ).
fof(tsy_c_fFalse_res,hypothesis,
ti(bool,fFalse) = fFalse,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',tsy_c_fFalse_res) ).
fof(fact_62_conseq,axiom,
! [X1,X18,X6,X17,X16] :
( ! [X20,X21] :
( hBOOL(hAPP(state,bool,hAPP(X1,fun(state,bool),X16,X20),X21))
=> ? [X49,X50] :
( hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X6),hAPP(fun(hoare_509422987triple(X1),bool),fun(hoare_509422987triple(X1),bool),hAPP(hoare_509422987triple(X1),fun(fun(hoare_509422987triple(X1),bool),fun(hoare_509422987triple(X1),bool)),insert(hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),hoare_509422987triple(X1),hAPP(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),fun(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1))),hoare_1008221573triple(X1),X49),X17),X50)),bot_bot(fun(hoare_509422987triple(X1),bool)))))
& ! [X24] :
( ! [X25] :
( hBOOL(hAPP(state,bool,hAPP(X1,fun(state,bool),X49,X25),X21))
=> hBOOL(hAPP(state,bool,hAPP(X1,fun(state,bool),X50,X25),X24)) )
=> hBOOL(hAPP(state,bool,hAPP(X1,fun(state,bool),X18,X20),X24)) ) ) )
=> hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X6),hAPP(fun(hoare_509422987triple(X1),bool),fun(hoare_509422987triple(X1),bool),hAPP(hoare_509422987triple(X1),fun(fun(hoare_509422987triple(X1),bool),fun(hoare_509422987triple(X1),bool)),insert(hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),hoare_509422987triple(X1),hAPP(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),fun(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1))),hoare_1008221573triple(X1),X16),X17),X18)),bot_bot(fun(hoare_509422987triple(X1),bool))))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_62_conseq) ).
fof(fact_20_empty__Collect__eq,axiom,
! [X1,X16] :
( bot_bot(fun(X1,bool)) = hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X16)
<=> ! [X31] : ~ hBOOL(hAPP(X1,bool,X16,X31)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_20_empty__Collect__eq) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',help_fFalse_1_1_U) ).
fof(c_0_13,plain,
! [X6,X7,X8,X9] : hAPP(X6,X7,ti(fun(X6,X7),X8),X9) = hAPP(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_arg1]) ).
fof(c_0_14,plain,
! [X33,X34] : hAPP(fun(X33,bool),X33,the(X33),hAPP(X33,fun(X33,bool),fequal(X33),X34)) = ti(X33,X34),
inference(variable_rename,[status(thm)],[fact_54_the__sym__eq__trivial]) ).
fof(c_0_15,plain,
! [X17,X18] : hAPP(fun(X17,bool),fun(X17,bool),collect(X17),X18) = ti(fun(X17,bool),X18),
inference(variable_rename,[status(thm)],[fact_77_Collect__def]) ).
fof(c_0_16,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(x_a),bool),bool,hAPP(fun(hoare_509422987triple(x_a),bool),fun(fun(hoare_509422987triple(x_a),bool),bool),hoare_122391849derivs(x_a),g),hAPP(fun(hoare_509422987triple(x_a),bool),fun(hoare_509422987triple(x_a),bool),hAPP(hoare_509422987triple(x_a),fun(fun(hoare_509422987triple(x_a),bool),fun(hoare_509422987triple(x_a),bool)),insert(hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a))),hoare_1008221573triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_509422987triple(x_a),bool))))),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_17,plain,
! [X6,X7,X8,X9] : hAPP(X6,X7,X8,ti(X6,X9)) = hAPP(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_arg2]) ).
fof(c_0_18,plain,
! [X6,X7,X8,X9] : ti(X6,hAPP(X7,X6,X8,X9)) = hAPP(X7,X6,X8,X9),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_res]) ).
cnf(c_0_19,plain,
hAPP(X1,X2,ti(fun(X1,X2),X3),X4) = hAPP(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
hAPP(fun(X1,bool),X1,the(X1),hAPP(X1,fun(X1,bool),fequal(X1),X2)) = ti(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2) = ti(fun(X1,bool),X2),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X67,X68,X69,X70] : hAPP(X67,X68,hAPP(X68,fun(X67,X68),combk(X68,X67),X69),X70) = ti(X68,X69),
inference(variable_rename,[status(thm)],[help_COMBK_1_1_U]) ).
fof(c_0_23,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(x_a),bool),bool,hAPP(fun(hoare_509422987triple(x_a),bool),fun(fun(hoare_509422987triple(x_a),bool),bool),hoare_122391849derivs(x_a),g),hAPP(fun(hoare_509422987triple(x_a),bool),fun(hoare_509422987triple(x_a),bool),hAPP(hoare_509422987triple(x_a),fun(fun(hoare_509422987triple(x_a),bool),fun(hoare_509422987triple(x_a),bool)),insert(hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a))),hoare_1008221573triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_509422987triple(x_a),bool))))),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_24,plain,
! [X27,X28] : hAPP(fun(X27,bool),fun(X27,bool),collect(X27),hAPP(X27,fun(X27,bool),fequal(X27),X28)) = hAPP(fun(X27,bool),fun(X27,bool),hAPP(X27,fun(fun(X27,bool),fun(X27,bool)),insert(X27),X28),bot_bot(fun(X27,bool))),
inference(variable_rename,[status(thm)],[fact_12_singleton__conv2]) ).
cnf(c_0_25,plain,
hAPP(X1,X2,X3,ti(X1,X4)) = hAPP(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
hAPP(X1,X2,hAPP(fun(fun(X1,X2),bool),fun(X1,X2),the(fun(X1,X2)),hAPP(fun(X1,X2),fun(fun(X1,X2),bool),fequal(fun(X1,X2)),X3)),X4) = hAPP(X1,X2,X3,X4),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,plain,
hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2) = hAPP(fun(fun(X1,bool),bool),fun(X1,bool),the(fun(X1,bool)),hAPP(fun(X1,bool),fun(fun(X1,bool),bool),fequal(fun(X1,bool)),X2)),
inference(rw,[status(thm)],[c_0_21,c_0_20]) ).
fof(c_0_29,plain,
! [X2] : bot_bot(fun(X2,bool)) = hAPP(fun(X2,bool),fun(X2,bool),collect(X2),hAPP(bool,fun(X2,bool),combk(bool,X2),fFalse)),
inference(variable_rename,[status(thm)],[fact_23_empty__def]) ).
cnf(c_0_30,plain,
hAPP(X1,X2,hAPP(X2,fun(X1,X2),combk(X2,X1),X3),X4) = ti(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,hypothesis,
ti(bool,fFalse) = fFalse,
inference(split_conjunct,[status(thm)],[tsy_c_fFalse_res]) ).
fof(c_0_32,plain,
! [X51,X52,X53,X54,X55,X58,X59,X61] :
( ( hBOOL(hAPP(state,bool,hAPP(X51,fun(state,bool),X55,esk14_5(X51,X52,X53,X54,X55)),esk15_5(X51,X52,X53,X54,X55)))
| hBOOL(hAPP(fun(hoare_509422987triple(X51),bool),bool,hAPP(fun(hoare_509422987triple(X51),bool),fun(fun(hoare_509422987triple(X51),bool),bool),hoare_122391849derivs(X51),X53),hAPP(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool),hAPP(hoare_509422987triple(X51),fun(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool)),insert(hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),hoare_509422987triple(X51),hAPP(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),fun(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51))),hoare_1008221573triple(X51),X55),X54),X52)),bot_bot(fun(hoare_509422987triple(X51),bool))))) )
& ( ~ hBOOL(hAPP(state,bool,hAPP(X51,fun(state,bool),X58,X61),esk15_5(X51,X52,X53,X54,X55)))
| hBOOL(hAPP(state,bool,hAPP(X51,fun(state,bool),X59,X61),esk16_7(X51,X52,X53,X54,X55,X58,X59)))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X51),bool),bool,hAPP(fun(hoare_509422987triple(X51),bool),fun(fun(hoare_509422987triple(X51),bool),bool),hoare_122391849derivs(X51),X53),hAPP(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool),hAPP(hoare_509422987triple(X51),fun(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool)),insert(hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),hoare_509422987triple(X51),hAPP(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),fun(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51))),hoare_1008221573triple(X51),X58),X54),X59)),bot_bot(fun(hoare_509422987triple(X51),bool)))))
| hBOOL(hAPP(fun(hoare_509422987triple(X51),bool),bool,hAPP(fun(hoare_509422987triple(X51),bool),fun(fun(hoare_509422987triple(X51),bool),bool),hoare_122391849derivs(X51),X53),hAPP(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool),hAPP(hoare_509422987triple(X51),fun(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool)),insert(hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),hoare_509422987triple(X51),hAPP(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),fun(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51))),hoare_1008221573triple(X51),X55),X54),X52)),bot_bot(fun(hoare_509422987triple(X51),bool))))) )
& ( ~ hBOOL(hAPP(state,bool,hAPP(X51,fun(state,bool),X52,esk14_5(X51,X52,X53,X54,X55)),esk16_7(X51,X52,X53,X54,X55,X58,X59)))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X51),bool),bool,hAPP(fun(hoare_509422987triple(X51),bool),fun(fun(hoare_509422987triple(X51),bool),bool),hoare_122391849derivs(X51),X53),hAPP(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool),hAPP(hoare_509422987triple(X51),fun(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool)),insert(hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),hoare_509422987triple(X51),hAPP(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),fun(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51))),hoare_1008221573triple(X51),X58),X54),X59)),bot_bot(fun(hoare_509422987triple(X51),bool)))))
| hBOOL(hAPP(fun(hoare_509422987triple(X51),bool),bool,hAPP(fun(hoare_509422987triple(X51),bool),fun(fun(hoare_509422987triple(X51),bool),bool),hoare_122391849derivs(X51),X53),hAPP(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool),hAPP(hoare_509422987triple(X51),fun(fun(hoare_509422987triple(X51),bool),fun(hoare_509422987triple(X51),bool)),insert(hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),hoare_509422987triple(X51),hAPP(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51)),hAPP(fun(X51,fun(state,bool)),fun(com,fun(fun(X51,fun(state,bool)),hoare_509422987triple(X51))),hoare_1008221573triple(X51),X55),X54),X52)),bot_bot(fun(hoare_509422987triple(X51),bool))))) ) ),
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)],[fact_62_conseq])])])])])])]) ).
cnf(c_0_33,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(x_a),bool),bool,hAPP(fun(hoare_509422987triple(x_a),bool),fun(fun(hoare_509422987triple(x_a),bool),bool),hoare_122391849derivs(x_a),g),hAPP(fun(hoare_509422987triple(x_a),bool),fun(hoare_509422987triple(x_a),bool),hAPP(hoare_509422987triple(x_a),fun(fun(hoare_509422987triple(x_a),bool),fun(hoare_509422987triple(x_a),bool)),insert(hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a))),hoare_1008221573triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_509422987triple(x_a),bool))))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),fequal(X1),X2)) = hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
hAPP(X1,X2,X3,hAPP(fun(X1,bool),X1,the(X1),hAPP(X1,fun(X1,bool),fequal(X1),X4))) = hAPP(X1,X2,X3,X4),
inference(rw,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_36,plain,
hAPP(fun(X1,bool),X1,the(X1),hAPP(X1,fun(X1,bool),fequal(X1),hAPP(X2,X1,X3,X4))) = hAPP(X2,X1,X3,X4),
inference(rw,[status(thm)],[c_0_26,c_0_20]) ).
fof(c_0_37,plain,
! [X32,X33,X34,X32,X33] :
( ( bot_bot(fun(X32,bool)) != hAPP(fun(X32,bool),fun(X32,bool),collect(X32),X33)
| ~ hBOOL(hAPP(X32,bool,X33,X34)) )
& ( hBOOL(hAPP(X32,bool,X33,esk18_2(X32,X33)))
| bot_bot(fun(X32,bool)) = hAPP(fun(X32,bool),fun(X32,bool),collect(X32),X33) ) ),
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)],[inference(fof_simplification,[status(thm)],[fact_20_empty__Collect__eq])])])])])])]) ).
cnf(c_0_38,plain,
hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2),X3) = hAPP(X1,bool,X2,X3),
inference(pm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_39,plain,
bot_bot(fun(X1,bool)) = hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(bool,fun(X1,bool),combk(bool,X1),fFalse)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
hAPP(X1,X2,hAPP(X2,fun(X1,X2),combk(X2,X1),X3),X4) = hAPP(fun(X2,bool),X2,the(X2),hAPP(X2,fun(X2,bool),fequal(X2),X3)),
inference(rw,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_41,hypothesis,
hAPP(fun(bool,bool),bool,the(bool),hAPP(bool,fun(bool,bool),fequal(bool),fFalse)) = fFalse,
inference(rw,[status(thm)],[c_0_31,c_0_20]) ).
cnf(c_0_42,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),hAPP(fun(hoare_509422987triple(X1),bool),fun(hoare_509422987triple(X1),bool),hAPP(hoare_509422987triple(X1),fun(fun(hoare_509422987triple(X1),bool),fun(hoare_509422987triple(X1),bool)),insert(hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),hoare_509422987triple(X1),hAPP(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),fun(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1))),hoare_1008221573triple(X1),X3),X4),X5)),bot_bot(fun(hoare_509422987triple(X1),bool)))))
| hBOOL(hAPP(state,bool,hAPP(X1,fun(state,bool),X3,esk14_5(X1,X5,X2,X4,X3)),esk15_5(X1,X5,X2,X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(x_a),bool),bool,hAPP(fun(hoare_509422987triple(x_a),bool),fun(fun(hoare_509422987triple(x_a),bool),bool),hoare_122391849derivs(x_a),g),hAPP(fun(hoare_509422987triple(x_a),bool),fun(hoare_509422987triple(x_a),bool),collect(hoare_509422987triple(x_a)),hAPP(hoare_509422987triple(x_a),fun(hoare_509422987triple(x_a),bool),fequal(hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a))),hoare_1008221573triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b))))))),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_44,plain,
hAPP(fun(X1,bool),X2,X3,hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X4)) = hAPP(fun(X1,bool),X2,X3,X4),
inference(pm,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_45,plain,
hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X2,fun(X1,bool),X3,X4)) = hAPP(X2,fun(X1,bool),X3,X4),
inference(pm,[status(thm)],[c_0_36,c_0_28]) ).
cnf(c_0_46,plain,
( bot_bot(fun(X1,bool)) = hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)
| hBOOL(hAPP(X1,bool,X2,esk18_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,plain,
hAPP(X1,bool,bot_bot(fun(X1,bool)),X2) = fFalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_48,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),hAPP(fun(hoare_509422987triple(X1),bool),fun(hoare_509422987triple(X1),bool),collect(hoare_509422987triple(X1)),hAPP(hoare_509422987triple(X1),fun(hoare_509422987triple(X1),bool),fequal(hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),hoare_509422987triple(X1),hAPP(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),fun(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1))),hoare_1008221573triple(X1),X3),X4),X5)))))
| hBOOL(hAPP(state,bool,hAPP(X1,fun(state,bool),X3,esk14_5(X1,X5,X2,X4,X3)),esk15_5(X1,X5,X2,X4,X3))) ),
inference(rw,[status(thm)],[c_0_42,c_0_34]) ).
cnf(c_0_49,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(x_a),bool),bool,hAPP(fun(hoare_509422987triple(x_a),bool),fun(fun(hoare_509422987triple(x_a),bool),bool),hoare_122391849derivs(x_a),g),hAPP(hoare_509422987triple(x_a),fun(hoare_509422987triple(x_a),bool),fequal(hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a))),hoare_1008221573triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))))),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
hAPP(bool,fun(X1,bool),combk(bool,X1),fFalse) = bot_bot(fun(X1,bool)),
inference(rw,[status(thm)],[c_0_39,c_0_45]) ).
cnf(c_0_51,plain,
hAPP(X1,X2,hAPP(X2,fun(X1,X2),combk(X2,X1),hAPP(X3,X2,X4,X5)),X6) = hAPP(X3,X2,X4,X5),
inference(pm,[status(thm)],[c_0_36,c_0_40]) ).
cnf(c_0_52,plain,
( hAPP(X1,bool,X2,X3) = fFalse
| hBOOL(hAPP(X1,bool,X2,esk18_2(X1,X2))) ),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_46]),c_0_47]) ).
cnf(c_0_53,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),hAPP(hoare_509422987triple(X1),fun(hoare_509422987triple(X1),bool),fequal(hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),hoare_509422987triple(X1),hAPP(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),fun(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1))),hoare_1008221573triple(X1),X3),X4),X5))))
| hBOOL(hAPP(state,bool,hAPP(X1,fun(state,bool),X3,esk14_5(X1,X5,X2,X4,X3)),esk15_5(X1,X5,X2,X4,X3))) ),
inference(rw,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_54,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(x_a),bool),bool,hAPP(fun(hoare_509422987triple(x_a),bool),fun(fun(hoare_509422987triple(x_a),bool),bool),hoare_122391849derivs(x_a),g),hAPP(hoare_509422987triple(x_a),fun(hoare_509422987triple(x_a),bool),fequal(hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a))),hoare_1008221573triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))))),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( hAPP(X1,bool,X2,X3) = fFalse
| hBOOL(hAPP(X1,bool,X2,X3)) ),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_52]),c_0_51]) ).
fof(c_0_56,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
cnf(c_0_57,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),hAPP(hoare_509422987triple(X1),fun(hoare_509422987triple(X1),bool),fequal(hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),hoare_509422987triple(X1),hAPP(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1)),hAPP(fun(X1,fun(state,bool)),fun(com,fun(fun(X1,fun(state,bool)),hoare_509422987triple(X1))),hoare_1008221573triple(X1),hAPP(fun(state,bool),fun(X1,fun(state,bool)),combk(fun(state,bool),X1),X3)),X4),X5))))
| hBOOL(hAPP(state,bool,X3,esk15_5(X1,X5,X2,X4,hAPP(fun(state,bool),fun(X1,fun(state,bool)),combk(fun(state,bool),X1),X3)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_40]),c_0_28]),c_0_38]) ).
cnf(c_0_58,negated_conjecture,
hAPP(fun(hoare_509422987triple(x_a),bool),bool,hAPP(fun(hoare_509422987triple(x_a),bool),fun(fun(hoare_509422987triple(x_a),bool),bool),hoare_122391849derivs(x_a),g),hAPP(hoare_509422987triple(x_a),fun(hoare_509422987triple(x_a),bool),fequal(hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_509422987triple(x_a))),hoare_1008221573triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),bot_bot(fun(state,bool)))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b))))) = fFalse,
inference(pm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_57,c_0_58]),c_0_47])]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW470+5 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 4 14:09:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.42/23.44 eprover: CPU time limit exceeded, terminating
% 0.42/23.44 eprover: CPU time limit exceeded, terminating
% 0.42/23.45 eprover: CPU time limit exceeded, terminating
% 0.42/23.47 eprover: CPU time limit exceeded, terminating
% 0.58/46.46 eprover: CPU time limit exceeded, terminating
% 0.58/46.48 eprover: CPU time limit exceeded, terminatingeprover:
% 0.58/46.48 CPU time limit exceeded, terminating
% 0.58/46.48 eprover: CPU time limit exceeded, terminating
% 0.66/58.85 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.66/58.85
% 0.66/58.85 # Failure: Resource limit exceeded (time)
% 0.66/58.85 # OLD status Res
% 0.66/58.85 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.66/58.85 # Preprocessing time : 0.037 s
% 0.66/58.85 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.66/58.85
% 0.66/58.85 # Failure: Resource limit exceeded (time)
% 0.66/58.85 # OLD status Res
% 0.66/58.85 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.66/58.85 # Preprocessing time : 0.019 s
% 0.66/58.85 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.66/58.85 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.66/58.85 # Preprocessing time : 0.102 s
% 0.66/58.85
% 0.66/58.85 # Proof found!
% 0.66/58.85 # SZS status Theorem
% 0.66/58.85 # SZS output start CNFRefutation
% See solution above
% 0.66/58.85 # Proof object total steps : 61
% 0.66/58.85 # Proof object clause steps : 35
% 0.66/58.85 # Proof object formula steps : 26
% 0.66/58.85 # Proof object conjectures : 9
% 0.66/58.85 # Proof object clause conjectures : 6
% 0.66/58.85 # Proof object formula conjectures : 3
% 0.66/58.85 # Proof object initial clauses used : 13
% 0.66/58.85 # Proof object initial formulas used : 13
% 0.66/58.85 # Proof object generating inferences : 10
% 0.66/58.85 # Proof object simplifying inferences : 21
% 0.66/58.85 # Training examples: 0 positive, 0 negative
% 0.66/58.85 # Parsed axioms : 163
% 0.66/58.85 # Removed by relevancy pruning/SinE : 60
% 0.66/58.85 # Initial clauses : 156
% 0.66/58.85 # Removed in clause preprocessing : 2
% 0.66/58.85 # Initial clauses in saturation : 154
% 0.66/58.85 # Processed clauses : 25144
% 0.66/58.85 # ...of these trivial : 462
% 0.66/58.85 # ...subsumed : 22434
% 0.66/58.85 # ...remaining for further processing : 2248
% 0.66/58.85 # Other redundant clauses eliminated : 573
% 0.66/58.85 # Clauses deleted for lack of memory : 174725
% 0.66/58.85 # Backward-subsumed : 53
% 0.66/58.85 # Backward-rewritten : 165
% 0.66/58.85 # Generated clauses : 313462
% 0.66/58.85 # ...of the previous two non-trivial : 299707
% 0.66/58.85 # Contextual simplify-reflections : 1405
% 0.66/58.85 # Paramodulations : 312729
% 0.66/58.85 # Factorizations : 4
% 0.66/58.85 # Equation resolutions : 725
% 0.66/58.85 # Current number of processed clauses : 2026
% 0.66/58.85 # Positive orientable unit clauses : 169
% 0.66/58.85 # Positive unorientable unit clauses: 30
% 0.66/58.85 # Negative unit clauses : 609
% 0.66/58.85 # Non-unit-clauses : 1218
% 0.66/58.85 # Current number of unprocessed clauses: 87363
% 0.66/58.85 # ...number of literals in the above : 243913
% 0.66/58.85 # Current number of archived formulas : 0
% 0.66/58.85 # Current number of archived clauses : 223
% 0.66/58.85 # Clause-clause subsumption calls (NU) : 478825
% 0.66/58.85 # Rec. Clause-clause subsumption calls : 287028
% 0.66/58.85 # Non-unit clause-clause subsumptions : 8091
% 0.66/58.85 # Unit Clause-clause subsumption calls : 45363
% 0.66/58.85 # Rewrite failures with RHS unbound : 393
% 0.66/58.85 # BW rewrite match attempts : 79245
% 0.66/58.85 # BW rewrite match successes : 428
% 0.66/58.85 # Condensation attempts : 0
% 0.66/58.85 # Condensation successes : 0
% 0.66/58.85 # Termbank termtop insertions : 30263479
% 0.66/58.85
% 0.66/58.85 # -------------------------------------------------
% 0.66/58.85 # User time : 11.484 s
% 0.66/58.85 # System time : 0.137 s
% 0.66/58.85 # Total time : 11.621 s
% 0.66/58.85 # Maximum resident set size: 154004 pages
% 0.66/69.48 eprover: CPU time limit exceeded, terminating
% 0.66/69.49 eprover: CPU time limit exceeded, terminating
% 0.66/69.50 eprover: CPU time limit exceeded, terminating
% 0.66/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.50 eprover: No such file or directory
% 0.66/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.51 eprover: No such file or directory
% 0.66/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.51 eprover: No such file or directory
% 0.66/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.51 eprover: No such file or directory
% 0.66/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.66/69.51 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.52 eprover: No such file or directory
% 0.66/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.53 eprover: No such file or directory
% 0.66/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.66/69.53 eprover: No such file or directory
% 0.66/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.53 eprover: No such file or directory
% 0.66/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.53 eprover: No such file or directory
% 0.66/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.66/69.53 eprover: No such file or directory
% 0.66/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.54 eprover: No such file or directory
% 0.66/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.54 eprover: No such file or directory
% 0.66/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.66/69.54 eprover: No such file or directory
% 0.66/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.54 eprover: No such file or directory
% 0.66/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.54 eprover: No such file or directory
% 0.66/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.66/69.54 eprover: No such file or directory
% 0.66/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.55 eprover: No such file or directory
% 0.66/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.66/69.55 eprover: No such file or directory
% 0.66/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.55 eprover: No such file or directory
%------------------------------------------------------------------------------