TSTP Solution File: SWW319+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW319+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 18:11:37 EDT 2024
% Result : Theorem 3.32s 1.95s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% Number of atoms : 97 ( 28 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 89 ( 36 ~; 29 |; 9 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 121 ( 8 sgn 71 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_ex__in__conv,axiom,
! [X10,X5] :
( ? [X3] : hBOOL(hAPP(hAPP(c_member(X5),X3),X10))
<=> X10 != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',fact_ex__in__conv) ).
fof(fact_disjoint__iff__not__equal,axiom,
! [X39,X10,X5] :
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),X39) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X5),X3),X10))
=> ! [X104] :
( hBOOL(hAPP(hAPP(c_member(X5),X104),X39))
=> X3 != X104 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',fact_disjoint__iff__not__equal) ).
fof(fact_Int__insert__right,axiom,
! [X39,X10,X6,X5] :
( ( hBOOL(hAPP(hAPP(c_member(X5),X6),X10))
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),hAPP(hAPP(c_Set_Oinsert(X5),X6),X39)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),X39)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X5),X6),X10))
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),hAPP(hAPP(c_Set_Oinsert(X5),X6),X39)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),X39) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',fact_Int__insert__right) ).
fof(fact_asm,axiom,
! [X4,X7,X5] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X7),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X7) ),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',fact_asm) ).
fof(fact_Int__lower1,axiom,
! [X39,X10,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),X39)),X10)),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',fact_Int__lower1) ).
fof(fact_cut,axiom,
! [X4,X7,X8,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X8,X7)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X8)
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X7) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',fact_cut) ).
fof(fact_subset__insertI,axiom,
! [X6,X39,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X39),hAPP(hAPP(c_Set_Oinsert(X5),X6),X39))),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',fact_subset__insertI) ).
fof(conj_1,conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',conj_1) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',conj_0) ).
fof(fact_insertI1,axiom,
! [X39,X6,X5] : hBOOL(hAPP(hAPP(c_member(X5),X6),hAPP(hAPP(c_Set_Oinsert(X5),X6),X39))),
file('/export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p',fact_insertI1) ).
fof(c_0_10,plain,
! [X10,X5] :
( ? [X3] : hBOOL(hAPP(hAPP(c_member(X5),X3),X10))
<=> X10 != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
inference(fof_simplification,[status(thm)],[fact_ex__in__conv]) ).
fof(c_0_11,plain,
! [X39,X10,X5] :
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),X39) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X5),X3),X10))
=> ! [X104] :
( hBOOL(hAPP(hAPP(c_member(X5),X104),X39))
=> X3 != X104 ) ) ),
inference(fof_simplification,[status(thm)],[fact_disjoint__iff__not__equal]) ).
fof(c_0_12,plain,
! [X39,X10,X6,X5] :
( ( hBOOL(hAPP(hAPP(c_member(X5),X6),X10))
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),hAPP(hAPP(c_Set_Oinsert(X5),X6),X39)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),X39)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X5),X6),X10))
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),hAPP(hAPP(c_Set_Oinsert(X5),X6),X39)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,tc_HOL_Obool)),X10),X39) ) ),
inference(fof_simplification,[status(thm)],[fact_Int__insert__right]) ).
fof(c_0_13,plain,
! [X562,X563,X564,X565,X566] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X563),X564),X562))
| X562 != c_Orderings_Obot__class_Obot(tc_fun(X563,tc_HOL_Obool)) )
& ( X565 = c_Orderings_Obot__class_Obot(tc_fun(X566,tc_HOL_Obool))
| hBOOL(hAPP(hAPP(c_member(X566),esk18_2(X565,X566)),X565)) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
fof(c_0_14,plain,
! [X1413,X1414,X1415,X1416,X1417,X1418,X1419,X1420] :
( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1415,tc_HOL_Obool)),X1414),X1413) != c_Orderings_Obot__class_Obot(tc_fun(X1415,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X1415),X1416),X1414))
| ~ hBOOL(hAPP(hAPP(c_member(X1415),X1417),X1413))
| X1416 != X1417 )
& ( hBOOL(hAPP(hAPP(c_member(X1420),esk34_3(X1418,X1419,X1420)),X1419))
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1420,tc_HOL_Obool)),X1419),X1418) = c_Orderings_Obot__class_Obot(tc_fun(X1420,tc_HOL_Obool)) )
& ( hBOOL(hAPP(hAPP(c_member(X1420),esk35_3(X1418,X1419,X1420)),X1418))
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1420,tc_HOL_Obool)),X1419),X1418) = c_Orderings_Obot__class_Obot(tc_fun(X1420,tc_HOL_Obool)) )
& ( esk34_3(X1418,X1419,X1420) = esk35_3(X1418,X1419,X1420)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1420,tc_HOL_Obool)),X1419),X1418) = c_Orderings_Obot__class_Obot(tc_fun(X1420,tc_HOL_Obool)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])])]) ).
fof(c_0_15,plain,
! [X344,X345,X346] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X346),tc_HOL_Obool)),X345),X344))
| c_Hoare__Mirabelle_Ohoare__derivs(X346,X344,X345) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])])]) ).
fof(c_0_16,plain,
! [X1481,X1482,X1483] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1483,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1483,tc_HOL_Obool)),X1482),X1481)),X1482)),
inference(variable_rename,[status(thm)],[fact_Int__lower1]) ).
fof(c_0_17,plain,
! [X523,X524,X525,X526] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X526),X525),X524))
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X526,tc_HOL_Obool)),X524),hAPP(hAPP(c_Set_Oinsert(X526),X525),X523)) = hAPP(hAPP(c_Set_Oinsert(X526),X525),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X526,tc_HOL_Obool)),X524),X523)) )
& ( hBOOL(hAPP(hAPP(c_member(X526),X525),X524))
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X526,tc_HOL_Obool)),X524),hAPP(hAPP(c_Set_Oinsert(X526),X525),X523)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X526,tc_HOL_Obool)),X524),X523) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_18,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk35_3(X2,X3,X1)),X2))
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X309,X310,X311,X312] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X312,X311,X310)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X312,X309,X311)
| c_Hoare__Mirabelle_Ohoare__derivs(X312,X309,X310) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])])]) ).
fof(c_0_21,plain,
! [X426,X427,X428] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X428,tc_HOL_Obool)),X427),hAPP(hAPP(c_Set_Oinsert(X428),X426),X427))),
inference(variable_rename,[status(thm)],[fact_subset__insertI]) ).
cnf(c_0_22,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X2)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| X3 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_26,negated_conjecture,
~ ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
cnf(c_0_27,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_29,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),X3)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)) = hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))
| X4 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_32,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
cnf(c_0_33,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X2),X3),X3),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_35,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| X4 != c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),X3),X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(X1)),X3),X2)) ),
inference(er,[status(thm)],[c_0_35]) ).
fof(c_0_39,plain,
! [X408,X409,X410] : hBOOL(hAPP(hAPP(c_member(X410),X409),hAPP(hAPP(c_Set_Oinsert(X410),X409),X408))),
inference(variable_rename,[status(thm)],[fact_insertI1]) ).
cnf(c_0_40,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_41,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) ),
inference(spm,[status(thm)],[c_0_33,c_0_38]) ).
cnf(c_0_42,plain,
hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW319+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n006.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 06:11:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.06/1.25 Running first-order theorem proving
% 1.06/1.25 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Y5b5gB2rxs/E---3.1_6521.p
% 3.32/1.95 # Version: 3.2.0
% 3.32/1.95 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.32/1.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.32/1.95 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.32/1.95 # Starting new_bool_3 with 300s (1) cores
% 3.32/1.95 # Starting new_bool_1 with 300s (1) cores
% 3.32/1.95 # Starting sh5l with 300s (1) cores
% 3.32/1.95 # new_bool_3 with pid 6601 completed with status 0
% 3.32/1.95 # Result found by new_bool_3
% 3.32/1.95 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.32/1.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.32/1.95 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.32/1.95 # Starting new_bool_3 with 300s (1) cores
% 3.32/1.95 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.32/1.95 # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.32/1.95 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.32/1.95 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.32/1.95 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 6604 completed with status 0
% 3.32/1.95 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 3.32/1.95 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.32/1.95 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.32/1.95 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.32/1.95 # Starting new_bool_3 with 300s (1) cores
% 3.32/1.95 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.32/1.95 # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.32/1.95 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.32/1.95 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.32/1.95 # Preprocessing time : 0.021 s
% 3.32/1.95
% 3.32/1.95 # Proof found!
% 3.32/1.95 # SZS status Theorem
% 3.32/1.95 # SZS output start CNFRefutation
% See solution above
% 3.32/1.95 # Parsed axioms : 5227
% 3.32/1.95 # Removed by relevancy pruning/SinE : 4597
% 3.32/1.95 # Initial clauses : 924
% 3.32/1.95 # Removed in clause preprocessing : 39
% 3.32/1.95 # Initial clauses in saturation : 885
% 3.32/1.95 # Processed clauses : 2073
% 3.32/1.95 # ...of these trivial : 122
% 3.32/1.95 # ...subsumed : 921
% 3.32/1.95 # ...remaining for further processing : 1030
% 3.32/1.95 # Other redundant clauses eliminated : 180
% 3.32/1.95 # Clauses deleted for lack of memory : 0
% 3.32/1.95 # Backward-subsumed : 38
% 3.32/1.95 # Backward-rewritten : 66
% 3.32/1.95 # Generated clauses : 23093
% 3.32/1.95 # ...of the previous two non-redundant : 20413
% 3.32/1.95 # ...aggressively subsumed : 0
% 3.32/1.95 # Contextual simplify-reflections : 20
% 3.32/1.95 # Paramodulations : 22826
% 3.32/1.95 # Factorizations : 10
% 3.32/1.95 # NegExts : 0
% 3.32/1.95 # Equation resolutions : 258
% 3.32/1.95 # Disequality decompositions : 0
% 3.32/1.95 # Total rewrite steps : 7715
% 3.32/1.95 # ...of those cached : 6001
% 3.32/1.95 # Propositional unsat checks : 0
% 3.32/1.95 # Propositional check models : 0
% 3.32/1.95 # Propositional check unsatisfiable : 0
% 3.32/1.95 # Propositional clauses : 0
% 3.32/1.95 # Propositional clauses after purity: 0
% 3.32/1.95 # Propositional unsat core size : 0
% 3.32/1.95 # Propositional preprocessing time : 0.000
% 3.32/1.95 # Propositional encoding time : 0.000
% 3.32/1.95 # Propositional solver time : 0.000
% 3.32/1.95 # Success case prop preproc time : 0.000
% 3.32/1.95 # Success case prop encoding time : 0.000
% 3.32/1.95 # Success case prop solver time : 0.000
% 3.32/1.95 # Current number of processed clauses : 899
% 3.32/1.95 # Positive orientable unit clauses : 208
% 3.32/1.95 # Positive unorientable unit clauses: 17
% 3.32/1.95 # Negative unit clauses : 46
% 3.32/1.95 # Non-unit-clauses : 628
% 3.32/1.95 # Current number of unprocessed clauses: 19076
% 3.32/1.95 # ...number of literals in the above : 55836
% 3.32/1.95 # Current number of archived formulas : 0
% 3.32/1.95 # Current number of archived clauses : 104
% 3.32/1.95 # Clause-clause subsumption calls (NU) : 35263
% 3.32/1.95 # Rec. Clause-clause subsumption calls : 28709
% 3.32/1.95 # Non-unit clause-clause subsumptions : 638
% 3.32/1.95 # Unit Clause-clause subsumption calls : 3774
% 3.32/1.95 # Rewrite failures with RHS unbound : 36
% 3.32/1.95 # BW rewrite match attempts : 3426
% 3.32/1.95 # BW rewrite match successes : 113
% 3.32/1.95 # Condensation attempts : 0
% 3.32/1.95 # Condensation successes : 0
% 3.32/1.95 # Termbank termtop insertions : 876641
% 3.32/1.95 # Search garbage collected termcells : 55247
% 3.32/1.95
% 3.32/1.95 # -------------------------------------------------
% 3.32/1.95 # User time : 0.516 s
% 3.32/1.95 # System time : 0.036 s
% 3.32/1.95 # Total time : 0.552 s
% 3.32/1.95 # Maximum resident set size: 11496 pages
% 3.32/1.95
% 3.32/1.95 # -------------------------------------------------
% 3.32/1.95 # User time : 0.636 s
% 3.32/1.95 # System time : 0.046 s
% 3.32/1.95 # Total time : 0.683 s
% 3.32/1.95 # Maximum resident set size: 9484 pages
% 3.32/1.95 % E---3.1 exiting
% 3.32/1.95 % E exiting
%------------------------------------------------------------------------------