TSTP Solution File: SWW470+5 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW470+5 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:14:39 EDT 2024
% Result : Theorem 6.81s 1.41s
% Output : CNFRefutation 6.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 33 unt; 0 def)
% Number of atoms : 54 ( 23 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 9 |; 3 &)
% ( 0 <=>; 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 : 28 ( 28 usr; 11 con; 0-7 aty)
% Number of variables : 90 ( 2 sgn 51 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',fact_12_singleton__conv2) ).
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/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',fact_77_Collect__def) ).
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/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',tsy_c_hAPP_res) ).
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/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',conj_0) ).
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/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',fact_23_empty__def) ).
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/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',fact_62_conseq) ).
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/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',help_COMBK_1_1_U) ).
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/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',tsy_c_hAPP_arg1) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',help_fFalse_1_1_U) ).
fof(tsy_c_fFalse_res,hypothesis,
ti(bool,fFalse) = fFalse,
file('/export/starexec/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p',tsy_c_fFalse_res) ).
fof(c_0_10,plain,
! [X254,X255] : hAPP(fun(X254,bool),fun(X254,bool),collect(X254),hAPP(X254,fun(X254,bool),fequal(X254),X255)) = hAPP(fun(X254,bool),fun(X254,bool),hAPP(X254,fun(fun(X254,bool),fun(X254,bool)),insert(X254),X255),bot_bot(fun(X254,bool))),
inference(variable_rename,[status(thm)],[fact_12_singleton__conv2]) ).
fof(c_0_11,plain,
! [X268,X269] : hAPP(fun(X268,bool),fun(X268,bool),collect(X268),X269) = ti(fun(X268,bool),X269),
inference(variable_rename,[status(thm)],[fact_77_Collect__def]) ).
fof(c_0_12,plain,
! [X80,X81,X82,X83] : ti(X80,hAPP(X81,X80,X82,X83)) = hAPP(X81,X80,X82,X83),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_res]) ).
fof(c_0_13,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)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_14,plain,
! [X71] : bot_bot(fun(X71,bool)) = hAPP(fun(X71,bool),fun(X71,bool),collect(X71),hAPP(bool,fun(X71,bool),combk(bool,X71),fFalse)),
inference(variable_rename,[status(thm)],[fact_23_empty__def]) ).
fof(c_0_15,plain,
! [X161,X162,X163,X164,X165,X168,X169,X171] :
( ( hBOOL(hAPP(state,bool,hAPP(X161,fun(state,bool),X165,esk12_5(X161,X162,X163,X164,X165)),esk13_5(X161,X162,X163,X164,X165)))
| hBOOL(hAPP(fun(hoare_509422987triple(X161),bool),bool,hAPP(fun(hoare_509422987triple(X161),bool),fun(fun(hoare_509422987triple(X161),bool),bool),hoare_122391849derivs(X161),X163),hAPP(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool),hAPP(hoare_509422987triple(X161),fun(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool)),insert(hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),hoare_509422987triple(X161),hAPP(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),fun(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161))),hoare_1008221573triple(X161),X165),X164),X162)),bot_bot(fun(hoare_509422987triple(X161),bool))))) )
& ( ~ hBOOL(hAPP(state,bool,hAPP(X161,fun(state,bool),X168,X171),esk13_5(X161,X162,X163,X164,X165)))
| hBOOL(hAPP(state,bool,hAPP(X161,fun(state,bool),X169,X171),esk14_7(X161,X162,X163,X164,X165,X168,X169)))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X161),bool),bool,hAPP(fun(hoare_509422987triple(X161),bool),fun(fun(hoare_509422987triple(X161),bool),bool),hoare_122391849derivs(X161),X163),hAPP(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool),hAPP(hoare_509422987triple(X161),fun(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool)),insert(hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),hoare_509422987triple(X161),hAPP(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),fun(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161))),hoare_1008221573triple(X161),X168),X164),X169)),bot_bot(fun(hoare_509422987triple(X161),bool)))))
| hBOOL(hAPP(fun(hoare_509422987triple(X161),bool),bool,hAPP(fun(hoare_509422987triple(X161),bool),fun(fun(hoare_509422987triple(X161),bool),bool),hoare_122391849derivs(X161),X163),hAPP(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool),hAPP(hoare_509422987triple(X161),fun(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool)),insert(hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),hoare_509422987triple(X161),hAPP(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),fun(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161))),hoare_1008221573triple(X161),X165),X164),X162)),bot_bot(fun(hoare_509422987triple(X161),bool))))) )
& ( ~ hBOOL(hAPP(state,bool,hAPP(X161,fun(state,bool),X162,esk12_5(X161,X162,X163,X164,X165)),esk14_7(X161,X162,X163,X164,X165,X168,X169)))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X161),bool),bool,hAPP(fun(hoare_509422987triple(X161),bool),fun(fun(hoare_509422987triple(X161),bool),bool),hoare_122391849derivs(X161),X163),hAPP(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool),hAPP(hoare_509422987triple(X161),fun(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool)),insert(hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),hoare_509422987triple(X161),hAPP(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),fun(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161))),hoare_1008221573triple(X161),X168),X164),X169)),bot_bot(fun(hoare_509422987triple(X161),bool)))))
| hBOOL(hAPP(fun(hoare_509422987triple(X161),bool),bool,hAPP(fun(hoare_509422987triple(X161),bool),fun(fun(hoare_509422987triple(X161),bool),bool),hoare_122391849derivs(X161),X163),hAPP(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool),hAPP(hoare_509422987triple(X161),fun(fun(hoare_509422987triple(X161),bool),fun(hoare_509422987triple(X161),bool)),insert(hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),hoare_509422987triple(X161),hAPP(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161)),hAPP(fun(X161,fun(state,bool)),fun(com,fun(fun(X161,fun(state,bool)),hoare_509422987triple(X161))),hoare_1008221573triple(X161),X165),X164),X162)),bot_bot(fun(hoare_509422987triple(X161),bool))))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_62_conseq])])])])])]) ).
cnf(c_0_16,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_10]) ).
cnf(c_0_17,plain,
hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2) = ti(fun(X1,bool),X2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,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_nnf,[status(thm)],[c_0_13]) ).
cnf(c_0_20,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_14]) ).
cnf(c_0_21,plain,
( hBOOL(hAPP(state,bool,hAPP(X1,fun(state,bool),X2,esk12_5(X1,X3,X4,X5,X2)),esk13_5(X1,X3,X4,X5,X2)))
| hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X4),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),X2),X5),X3)),bot_bot(fun(hoare_509422987triple(X1),bool))))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))) = hAPP(X1,fun(X1,bool),fequal(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
fof(c_0_23,plain,
! [X226,X227,X228,X229] : hAPP(X226,X227,hAPP(X227,fun(X226,X227),combk(X227,X226),X228),X229) = ti(X227,X228),
inference(variable_rename,[status(thm)],[help_COMBK_1_1_U]) ).
fof(c_0_24,plain,
! [X72,X73,X74,X75] : hAPP(X72,X73,ti(fun(X72,X73),X74),X75) = hAPP(X72,X73,X74,X75),
inference(variable_rename,[status(thm)],[tsy_c_hAPP_arg1]) ).
fof(c_0_25,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
cnf(c_0_26,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_19]) ).
cnf(c_0_27,plain,
hAPP(bool,fun(X1,bool),combk(bool,X1),fFalse) = bot_bot(fun(X1,bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_17]),c_0_18]) ).
cnf(c_0_28,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,esk12_5(X1,X5,X2,X4,X3)),esk13_5(X1,X5,X2,X4,X3))) ),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
hAPP(X1,X2,hAPP(X2,fun(X1,X2),combk(X2,X1),X3),X4) = ti(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
hAPP(X1,X2,ti(fun(X1,X2),X3),X4) = hAPP(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,hypothesis,
ti(bool,fFalse) = fFalse,
inference(split_conjunct,[status(thm)],[tsy_c_fFalse_res]) ).
fof(c_0_32,plain,
~ hBOOL(fFalse),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
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(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)],[inference(spm,[status(thm)],[c_0_26,c_0_22]),c_0_27]) ).
cnf(c_0_34,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,esk13_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(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_35,plain,
hAPP(X1,bool,bot_bot(fun(X1,bool)),X2) = fFalse,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_31]) ).
cnf(c_0_36,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW470+5 : TPTP v8.2.0. Released v5.3.0.
% 0.03/0.12 % Command : run_E %s %d SAT
% 0.12/0.33 % Computer : n017.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 : 300
% 0.12/0.33 % DateTime : Wed Jun 19 05:05:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.51 Running first-order model finding
% 0.20/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.epcGEj93TF/E---3.1_29446.p
% 6.81/1.41 # Version: 3.2.0
% 6.81/1.41 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.81/1.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.81/1.41 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.81/1.41 # Starting new_bool_3 with 300s (1) cores
% 6.81/1.41 # Starting new_bool_1 with 300s (1) cores
% 6.81/1.41 # Starting sh5l with 300s (1) cores
% 6.81/1.41 # new_bool_1 with pid 29525 completed with status 0
% 6.81/1.41 # Result found by new_bool_1
% 6.81/1.41 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.81/1.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.81/1.41 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.81/1.41 # Starting new_bool_3 with 300s (1) cores
% 6.81/1.41 # Starting new_bool_1 with 300s (1) cores
% 6.81/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.81/1.41 # Search class: FGHSM-FFLM33-DFFFFFNN
% 6.81/1.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 6.81/1.41 # Starting new_ho_10 with 55s (1) cores
% 6.81/1.41 # new_ho_10 with pid 29528 completed with status 0
% 6.81/1.41 # Result found by new_ho_10
% 6.81/1.41 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.81/1.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.81/1.41 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.81/1.41 # Starting new_bool_3 with 300s (1) cores
% 6.81/1.41 # Starting new_bool_1 with 300s (1) cores
% 6.81/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.81/1.41 # Search class: FGHSM-FFLM33-DFFFFFNN
% 6.81/1.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 6.81/1.41 # Starting new_ho_10 with 55s (1) cores
% 6.81/1.41 # Preprocessing time : 0.005 s
% 6.81/1.41 # Presaturation interreduction done
% 6.81/1.41
% 6.81/1.41 # Proof found!
% 6.81/1.41 # SZS status Theorem
% 6.81/1.41 # SZS output start CNFRefutation
% See solution above
% 6.81/1.41 # Parsed axioms : 163
% 6.81/1.41 # Removed by relevancy pruning/SinE : 60
% 6.81/1.41 # Initial clauses : 156
% 6.81/1.41 # Removed in clause preprocessing : 1
% 6.81/1.41 # Initial clauses in saturation : 155
% 6.81/1.41 # Processed clauses : 1540
% 6.81/1.41 # ...of these trivial : 34
% 6.81/1.41 # ...subsumed : 622
% 6.81/1.41 # ...remaining for further processing : 884
% 6.81/1.41 # Other redundant clauses eliminated : 144
% 6.81/1.41 # Clauses deleted for lack of memory : 0
% 6.81/1.41 # Backward-subsumed : 11
% 6.81/1.41 # Backward-rewritten : 64
% 6.81/1.41 # Generated clauses : 23944
% 6.81/1.41 # ...of the previous two non-redundant : 22410
% 6.81/1.41 # ...aggressively subsumed : 0
% 6.81/1.41 # Contextual simplify-reflections : 16
% 6.81/1.41 # Paramodulations : 23743
% 6.81/1.41 # Factorizations : 0
% 6.81/1.41 # NegExts : 0
% 6.81/1.41 # Equation resolutions : 196
% 6.81/1.41 # Disequality decompositions : 0
% 6.81/1.41 # Total rewrite steps : 13365
% 6.81/1.41 # ...of those cached : 10855
% 6.81/1.41 # Propositional unsat checks : 0
% 6.81/1.41 # Propositional check models : 0
% 6.81/1.41 # Propositional check unsatisfiable : 0
% 6.81/1.41 # Propositional clauses : 0
% 6.81/1.41 # Propositional clauses after purity: 0
% 6.81/1.41 # Propositional unsat core size : 0
% 6.81/1.41 # Propositional preprocessing time : 0.000
% 6.81/1.41 # Propositional encoding time : 0.000
% 6.81/1.41 # Propositional solver time : 0.000
% 6.81/1.41 # Success case prop preproc time : 0.000
% 6.81/1.41 # Success case prop encoding time : 0.000
% 6.81/1.41 # Success case prop solver time : 0.000
% 6.81/1.41 # Current number of processed clauses : 667
% 6.81/1.41 # Positive orientable unit clauses : 81
% 6.81/1.41 # Positive unorientable unit clauses: 8
% 6.81/1.41 # Negative unit clauses : 40
% 6.81/1.41 # Non-unit-clauses : 538
% 6.81/1.41 # Current number of unprocessed clauses: 21059
% 6.81/1.41 # ...number of literals in the above : 72519
% 6.81/1.41 # Current number of archived formulas : 0
% 6.81/1.41 # Current number of archived clauses : 217
% 6.81/1.41 # Clause-clause subsumption calls (NU) : 82237
% 6.81/1.41 # Rec. Clause-clause subsumption calls : 40121
% 6.81/1.41 # Non-unit clause-clause subsumptions : 365
% 6.81/1.41 # Unit Clause-clause subsumption calls : 7611
% 6.81/1.41 # Rewrite failures with RHS unbound : 0
% 6.81/1.41 # BW rewrite match attempts : 8452
% 6.81/1.41 # BW rewrite match successes : 158
% 6.81/1.41 # Condensation attempts : 1540
% 6.81/1.41 # Condensation successes : 31
% 6.81/1.41 # Termbank termtop insertions : 2267533
% 6.81/1.41 # Search garbage collected termcells : 2766
% 6.81/1.41
% 6.81/1.41 # -------------------------------------------------
% 6.81/1.41 # User time : 0.836 s
% 6.81/1.41 # System time : 0.014 s
% 6.81/1.41 # Total time : 0.850 s
% 6.81/1.41 # Maximum resident set size: 2684 pages
% 6.81/1.41
% 6.81/1.41 # -------------------------------------------------
% 6.81/1.41 # User time : 0.847 s
% 6.81/1.41 # System time : 0.017 s
% 6.81/1.41 # Total time : 0.864 s
% 6.81/1.41 # Maximum resident set size: 2008 pages
% 6.81/1.41 % E---3.1 exiting
% 6.81/1.41 % E exiting
%------------------------------------------------------------------------------