TSTP Solution File: SWW474+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW474+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 00:10:57 EDT 2022
% Result : Theorem 0.41s 1.60s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 76 ( 49 unt; 0 def)
% Number of atoms : 122 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 39 ~; 34 |; 2 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 19 con; 0-2 aty)
% Number of variables : 72 ( 14 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(help_fFalse_1_1_T,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',help_fFalse_1_1_T) ).
fof(gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Hoare____Mirabelle____uwgpyvfjxg__Otri,axiom,
! [X1] : is_bool(finite2036162504e_bool(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Hoare____Mirabelle____uwgpyvfjxg__Otri) ).
fof(fact_543_bot__empty__eq,axiom,
! [X21] :
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X21))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),bot_bo844097828e_bool)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_543_bot__empty__eq) ).
fof(fact_69_emptyE,axiom,
! [X12] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),bot_bo844097828e_bool)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_69_emptyE) ).
fof(fact_1091_comp__fun__idem__insert,axiom,
hBOOL(finite2036162504e_bool(insert1744391420_state)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_1091_comp__fun__idem__insert) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',help_fFalse_1_1_U) ).
fof(fact_521_bot__apply,axiom,
! [X16] :
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X16))
<=> hBOOL(bot_bot_bool) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_521_bot__apply) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com__O_005,hypothesis,
! [X1,X2] : is_bool(hAPP_f1378282496l_bool(X1,X2)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com__O_005) ).
fof(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,axiom,
is_bool(bot_bot_bool),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool) ).
fof(conj_7,conjecture,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_7) ).
fof(fact_3_thin,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X6),X4))
=> ( hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,X6),X3))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X4)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3_thin) ).
fof(fact_23_empty__subsetI,axiom,
! [X9] : hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),X9)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_23_empty__subsetI) ).
fof(fact_562_Option_Oset_Osimps_I2_J,axiom,
! [X16] : set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X16)) = hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X16),bot_bo784226126e_bool),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_562_Option_Oset_Osimps_I2_J) ).
fof(fact_463_insert__is__Un,axiom,
! [X12,X9] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X12),X9) = hAPP_f806699093e_bool(hAPP_f1794460506e_bool(semila176469292e_bool,hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X12),bot_bo784226126e_bool)),X9),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_463_insert__is__Un) ).
fof(fact_66_MGF,axiom,
! [X15] :
( hBOOL(hoare_1795711768gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X15)),bot_bo784226126e_bool))) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_66_MGF) ).
fof(fact_422_Un__empty__right,axiom,
! [X9] : hAPP_f806699093e_bool(hAPP_f1794460506e_bool(semila176469292e_bool,X9),bot_bo784226126e_bool) = X9,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_422_Un__empty__right) ).
fof(fact_297_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = hAPP_com_option_com(some_com,X30)
=> hBOOL(hAPP_com_bool(wt,X30)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_297_WT__bodiesD) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(conj_0,hypothesis,
hBOOL(hoare_1795711768gleton),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_5) ).
fof(c_0_20,plain,
! [X34] :
( ~ is_bool(X34)
| X34 = fTrue
| X34 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])]) ).
fof(c_0_21,plain,
! [X2] : is_bool(finite2036162504e_bool(X2)),
inference(variable_rename,[status(thm)],[gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Hoare____Mirabelle____uwgpyvfjxg__Otri]) ).
cnf(c_0_22,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,plain,
is_bool(finite2036162504e_bool(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_24,plain,
! [X22,X22] :
( ( ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X22))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),bot_bo844097828e_bool)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),bot_bo844097828e_bool))
| hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X22)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_543_bot__empty__eq])])])]) ).
fof(c_0_25,plain,
! [X13] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),bot_bo844097828e_bool)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_69_emptyE])]) ).
cnf(c_0_26,plain,
hBOOL(finite2036162504e_bool(insert1744391420_state)),
inference(split_conjunct,[status(thm)],[fact_1091_comp__fun__idem__insert]) ).
cnf(c_0_27,plain,
( finite2036162504e_bool(X1) = fFalse
| finite2036162504e_bool(X1) = fTrue ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_28,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
cnf(c_0_29,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool))
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,plain,
! [X17,X17] :
( ( ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X17))
| hBOOL(bot_bot_bool) )
& ( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X17)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_521_bot__apply])])])]) ).
fof(c_0_32,hypothesis,
! [X3,X4] : is_bool(hAPP_f1378282496l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_Itc__Com__O_005]) ).
cnf(c_0_33,plain,
( finite2036162504e_bool(insert1744391420_state) = fFalse
| hBOOL(fTrue) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
is_bool(bot_bot_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool]) ).
cnf(c_0_36,plain,
~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)),
inference(sr,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(assume_negation,[status(cth)],[conj_7]) ).
fof(c_0_39,plain,
! [X7,X8,X9] :
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X8),X9))
| ~ hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,X8),X7))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X7),X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_thin])]) ).
fof(c_0_40,plain,
! [X10] : hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),X10)),
inference(variable_rename,[status(thm)],[fact_23_empty__subsetI]) ).
cnf(c_0_41,hypothesis,
is_bool(hAPP_f1378282496l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
hBOOL(fTrue),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_33]),c_0_34]) ).
cnf(c_0_43,plain,
( fFalse = bot_bot_bool
| fTrue = bot_bot_bool ),
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_44,plain,
~ hBOOL(bot_bot_bool),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_45,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_46,plain,
! [X17] : set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X17)) = hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X17),bot_bo784226126e_bool),
inference(variable_rename,[status(thm)],[fact_562_Option_Oset_Osimps_I2_J]) ).
fof(c_0_47,plain,
! [X13,X14] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X13),X14) = hAPP_f806699093e_bool(hAPP_f1794460506e_bool(semila176469292e_bool,hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X13),bot_bo784226126e_bool)),X14),
inference(variable_rename,[status(thm)],[fact_463_insert__is__Un]) ).
cnf(c_0_48,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,X3),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,hypothesis,
( hAPP_f1378282496l_bool(X1,X2) = fFalse
| hAPP_f1378282496l_bool(X1,X2) = fTrue ),
inference(spm,[status(thm)],[c_0_22,c_0_41]) ).
cnf(c_0_51,plain,
fFalse = bot_bot_bool,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_52,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X1)) = hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X1),bot_bo784226126e_bool),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_54,plain,
! [X16] :
( ~ hBOOL(hoare_1795711768gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X16))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X16)),bot_bo784226126e_bool))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_MGF])])])]) ).
cnf(c_0_55,plain,
hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X1),X2) = hAPP_f806699093e_bool(hAPP_f1794460506e_bool(semila176469292e_bool,hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X1),bot_bo784226126e_bool)),X2),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_56,plain,
! [X10] : hAPP_f806699093e_bool(hAPP_f1794460506e_bool(semila176469292e_bool,X10),bot_bo784226126e_bool) = X10,
inference(variable_rename,[status(thm)],[fact_422_Un__empty__right]) ).
cnf(c_0_57,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,hypothesis,
( hAPP_f1378282496l_bool(X1,X2) = fTrue
| hAPP_f1378282496l_bool(X1,X2) = bot_bot_bool ),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y))))),
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_60,plain,
! [X31,X32] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X31) != hAPP_com_option_com(some_com,X32)
| hBOOL(hAPP_com_bool(wt,X32)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_WT__bodiesD])])])]) ).
cnf(c_0_61,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,plain,
hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X1),X2) = hAPP_f806699093e_bool(hAPP_f1794460506e_bool(semila176469292e_bool,set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X1))),X2),
inference(rw,[status(thm)],[c_0_55,c_0_53]) ).
cnf(c_0_63,plain,
hAPP_f806699093e_bool(hAPP_f1794460506e_bool(semila176469292e_bool,X1),bot_bo784226126e_bool) = X1,
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_65,hypothesis,
hBOOL(hoare_1795711768gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_66,hypothesis,
( hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X1) = bot_bot_bool
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_42])]) ).
cnf(c_0_67,negated_conjecture,
hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)))) = bot_bot_bool,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_42])]) ).
cnf(c_0_68,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X2) != hAPP_com_option_com(some_com,X1)
| ~ hBOOL(wT_bodies) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)))))
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]),c_0_65])]) ).
cnf(c_0_70,negated_conjecture,
hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)))) = bot_bot_bool,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_44]) ).
cnf(c_0_71,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_com_option_com(some_com,X1) != hAPP_p799580910on_com(body,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_64])]) ).
cnf(c_0_72,hypothesis,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
cnf(c_0_73,negated_conjecture,
~ hBOOL(hAPP_com_bool(wt,y)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_44]) ).
cnf(c_0_74,hypothesis,
hAPP_p799580910on_com(body,pn) != hAPP_p799580910on_com(body,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_75,hypothesis,
$false,
inference(er,[status(thm)],[c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWW474+3 : TPTP v8.1.0. Released v5.3.0.
% 0.13/0.14 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 4 14:14:29 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.41/1.60 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.41/1.60 # Preprocessing time : 0.155 s
% 0.41/1.60
% 0.41/1.60 # Proof found!
% 0.41/1.60 # SZS status Theorem
% 0.41/1.60 # SZS output start CNFRefutation
% See solution above
% 0.41/1.60 # Proof object total steps : 76
% 0.41/1.60 # Proof object clause steps : 40
% 0.41/1.60 # Proof object formula steps : 36
% 0.41/1.60 # Proof object conjectures : 8
% 0.41/1.60 # Proof object clause conjectures : 5
% 0.41/1.60 # Proof object formula conjectures : 3
% 0.41/1.60 # Proof object initial clauses used : 20
% 0.41/1.60 # Proof object initial formulas used : 20
% 0.41/1.60 # Proof object generating inferences : 14
% 0.41/1.60 # Proof object simplifying inferences : 20
% 0.41/1.60 # Training examples: 0 positive, 0 negative
% 0.41/1.60 # Parsed axioms : 1441
% 0.41/1.60 # Removed by relevancy pruning/SinE : 0
% 0.41/1.60 # Initial clauses : 2236
% 0.41/1.60 # Removed in clause preprocessing : 38
% 0.41/1.60 # Initial clauses in saturation : 2198
% 0.41/1.60 # Processed clauses : 2909
% 0.41/1.60 # ...of these trivial : 83
% 0.41/1.60 # ...subsumed : 821
% 0.41/1.60 # ...remaining for further processing : 2005
% 0.41/1.60 # Other redundant clauses eliminated : 119
% 0.41/1.60 # Clauses deleted for lack of memory : 0
% 0.41/1.60 # Backward-subsumed : 16
% 0.41/1.60 # Backward-rewritten : 295
% 0.41/1.60 # Generated clauses : 23953
% 0.41/1.60 # ...of the previous two non-trivial : 22046
% 0.41/1.60 # Contextual simplify-reflections : 99
% 0.41/1.60 # Paramodulations : 23733
% 0.41/1.60 # Factorizations : 21
% 0.41/1.60 # Equation resolutions : 190
% 0.41/1.60 # Current number of processed clauses : 1642
% 0.41/1.60 # Positive orientable unit clauses : 328
% 0.41/1.60 # Positive unorientable unit clauses: 83
% 0.41/1.60 # Negative unit clauses : 54
% 0.41/1.60 # Non-unit-clauses : 1177
% 0.41/1.60 # Current number of unprocessed clauses: 15481
% 0.41/1.60 # ...number of literals in the above : 53006
% 0.41/1.60 # Current number of archived formulas : 0
% 0.41/1.60 # Current number of archived clauses : 312
% 0.41/1.60 # Clause-clause subsumption calls (NU) : 405962
% 0.41/1.60 # Rec. Clause-clause subsumption calls : 184798
% 0.41/1.60 # Non-unit clause-clause subsumptions : 593
% 0.41/1.60 # Unit Clause-clause subsumption calls : 43920
% 0.41/1.60 # Rewrite failures with RHS unbound : 3
% 0.41/1.60 # BW rewrite match attempts : 1251
% 0.41/1.60 # BW rewrite match successes : 422
% 0.41/1.60 # Condensation attempts : 0
% 0.41/1.60 # Condensation successes : 0
% 0.41/1.60 # Termbank termtop insertions : 746626
% 0.41/1.60
% 0.41/1.60 # -------------------------------------------------
% 0.41/1.60 # User time : 0.897 s
% 0.41/1.60 # System time : 0.032 s
% 0.41/1.60 # Total time : 0.929 s
% 0.41/1.60 # Maximum resident set size: 43260 pages
% 0.41/23.59 eprover: CPU time limit exceeded, terminating
% 0.41/23.60 eprover: CPU time limit exceeded, terminating
% 0.41/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.60 eprover: No such file or directory
% 0.41/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.61 eprover: No such file or directory
% 0.41/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.61 eprover: No such file or directory
% 0.41/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.62 eprover: No such file or directory
% 0.41/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.62 eprover: No such file or directory
% 0.41/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.62 eprover: No such file or directory
% 0.41/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.62 eprover: No such file or directory
% 0.41/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.63 eprover: No such file or directory
% 0.41/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.63 eprover: No such file or directory
% 0.41/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.63 eprover: No such file or directory
% 0.41/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.63 eprover: No such file or directory
% 0.41/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.64 eprover: No such file or directory
% 0.41/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.64 eprover: No such file or directory
% 0.41/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.64 eprover: No such file or directory
% 0.41/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.65 eprover: No such file or directory
% 0.41/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.65 eprover: No such file or directory
% 0.41/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.65 eprover: No such file or directory
% 0.41/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/23.66 eprover: No such file or directory
% 0.41/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.66 eprover: No such file or directory
% 0.41/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.66 eprover: No such file or directory
% 0.41/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.67 eprover: No such file or directory
% 0.41/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/23.67 eprover: No such file or directory
%------------------------------------------------------------------------------