%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW330+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 00:10:34 EDT 2022
% Result : Theorem 0.97s 4.16s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 23 unt; 0 def)
% Number of atoms : 54 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 14 ~; 8 |; 4 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 13 con; 0-4 aty)
% Number of variables : 111 ( 33 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(fact_mem__def,axiom,
! [X21,X19,X7] :
( hBOOL(hAPP(hAPP(c_member(X7),X19),X21))
<=> hBOOL(hAPP(X21,X19)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_mem__def) ).
fof(fact_imageE,axiom,
! [X21,X2,X22,X63,X7] :
( hBOOL(hAPP(hAPP(c_member(X7),X63),hAPP(c_Set_Oimage(X22,X7,X2),X21)))
=> ~ ! [X3] :
( X63 = hAPP(X2,X3)
=> ~ hBOOL(hAPP(hAPP(c_member(X22),X3),X21)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_imageE) ).
fof(help_c__COMBS__1,axiom,
! [X68,X4,X6,X7,X36,X22] : hAPP(hAPP(hAPP(c_COMBS(X22,X36,X7),X6),X4),X68) = hAPP(hAPP(X6,X68),hAPP(X4,X68)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',help_c__COMBS__1) ).
fof(fact_Body__triple__valid__0,axiom,
! [X4,X5,X6,X7] : c_Hoare__Mirabelle_Otriple__valid(X7,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X7),X6),hAPP(c_Com_Ocom_OBODY,X5)),X4)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Body__triple__valid__0) ).
fof(help_c__COMBB__1,axiom,
! [X68,X4,X6,X36,X7,X22] : hAPP(hAPP(hAPP(c_COMBB(X22,X7,X36),X6),X4),X68) = hAPP(X6,hAPP(X4,X68)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',help_c__COMBB__1) ).
fof(fact_com_Osize_I9_J,axiom,
hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_com_Osize_I9_J) ).
fof(c_0_7,negated_conjecture,
~ ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3) ) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_8,plain,
! [X22,X23,X24,X22,X23,X24] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X24),X23),X22))
| hBOOL(hAPP(X22,X23)) )
& ( ~ hBOOL(hAPP(X22,X23))
| hBOOL(hAPP(hAPP(c_member(X24),X23),X22)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])])]) ).
fof(c_0_9,negated_conjecture,
! [X4] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X4),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4) )
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk2_0) ),
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)],[c_0_7])])])])])]) ).
cnf(c_0_10,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X64,X65,X66,X67,X68] :
( ( X67 = hAPP(X65,esk9_4(X64,X65,X66,X67))
| ~ hBOOL(hAPP(hAPP(c_member(X68),X67),hAPP(c_Set_Oimage(X66,X68,X65),X64))) )
& ( hBOOL(hAPP(hAPP(c_member(X66),esk9_4(X64,X65,X66,X67)),X64))
| ~ hBOOL(hAPP(hAPP(c_member(X68),X67),hAPP(c_Set_Oimage(X66,X68,X65),X64))) ) ),
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)],[inference(fof_simplification,[status(thm)],[fact_imageE])])])])])])])]) ).
cnf(c_0_13,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
hBOOL(hAPP(hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs),esk2_0)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_15,plain,
! [X69,X70,X71,X72,X73,X74] : hAPP(hAPP(hAPP(c_COMBS(X74,X73,X72),X71),X70),X69) = hAPP(hAPP(X71,X69),hAPP(X70,X69)),
inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).
cnf(c_0_16,plain,
( X2 = hAPP(X4,esk9_4(X5,X4,X3,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Set_Oimage(X3,X1,X4),X5))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(X1),esk2_0),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X8,X9,X10,X11] : c_Hoare__Mirabelle_Otriple__valid(X11,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X11),X10),hAPP(c_Com_Ocom_OBODY,X9)),X8)),
inference(variable_rename,[status(thm)],[fact_Body__triple__valid__0]) ).
cnf(c_0_20,negated_conjecture,
hAPP(hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q),esk9_4(v_Procs,hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q),tc_Com_Opname,esk2_0)) = esk2_0,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(hAPP(c_COMBS(X7,X8,X9),X4),X5),X6),
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
fof(c_0_22,plain,
! [X69,X70,X71,X72,X73,X74] : hAPP(hAPP(hAPP(c_COMBB(X74,X73,X72),X71),X70),X69) = hAPP(X71,hAPP(X70,X69)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_23,plain,
c_Hoare__Mirabelle_Otriple__valid(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[fact_com_Osize_I9_J]) ).
cnf(c_0_25,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(hAPP(c_COMBS(X4,X5,X6),X7),X8)),X9),X10) = hAPP(hAPP(hAPP(X7,X10),hAPP(X8,X10)),hAPP(X9,X10)),
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q),esk9_4(v_Procs,hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q),tc_Com_Opname,esk2_0)) = esk2_0,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,plain,
c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4)),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,esk9_4(v_Procs,hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q),tc_Com_Opname,esk2_0))),hAPP(c_Com_Ocom_OBODY,esk9_4(v_Procs,hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q),tc_Com_Opname,esk2_0))),hAPP(v_Q,esk9_4(v_Procs,hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q),tc_Com_Opname,esk2_0))) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_31,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP),esk2_0),
inference(rw,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWW330+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.15 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 5 10:30:03 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.97/4.16 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.97/4.16 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.97/4.16 # Preprocessing time : 0.247 s
% 0.97/4.16
% 0.97/4.16 # Proof found!
% 0.97/4.16 # SZS status Theorem
% 0.97/4.16 # SZS output start CNFRefutation
% See solution above
% 0.97/4.16 # Proof object total steps : 33
% 0.97/4.16 # Proof object clause steps : 19
% 0.97/4.16 # Proof object formula steps : 14
% 0.97/4.16 # Proof object conjectures : 12
% 0.97/4.16 # Proof object clause conjectures : 9
% 0.97/4.16 # Proof object formula conjectures : 3
% 0.97/4.16 # Proof object initial clauses used : 9
% 0.97/4.16 # Proof object initial formulas used : 7
% 0.97/4.16 # Proof object generating inferences : 8
% 0.97/4.16 # Proof object simplifying inferences : 4
% 0.97/4.16 # Training examples: 0 positive, 0 negative
% 0.97/4.16 # Parsed axioms : 5225
% 0.97/4.16 # Removed by relevancy pruning/SinE : 5124
% 0.97/4.16 # Initial clauses : 154
% 0.97/4.16 # Removed in clause preprocessing : 12
% 0.97/4.16 # Initial clauses in saturation : 142
% 0.97/4.16 # Processed clauses : 1071
% 0.97/4.16 # ...of these trivial : 26
% 0.97/4.16 # ...subsumed : 469
% 0.97/4.16 # ...remaining for further processing : 576
% 0.97/4.16 # Other redundant clauses eliminated : 2
% 0.97/4.16 # Clauses deleted for lack of memory : 0
% 0.97/4.16 # Backward-subsumed : 0
% 0.97/4.16 # Backward-rewritten : 22
% 0.97/4.16 # Generated clauses : 37992
% 0.97/4.16 # ...of the previous two non-trivial : 37011
% 0.97/4.16 # Contextual simplify-reflections : 14
% 0.97/4.16 # Paramodulations : 37967
% 0.97/4.16 # Factorizations : 0
% 0.97/4.16 # Equation resolutions : 25
% 0.97/4.16 # Current number of processed clauses : 554
% 0.97/4.16 # Positive orientable unit clauses : 165
% 0.97/4.16 # Positive unorientable unit clauses: 56
% 0.97/4.16 # Negative unit clauses : 9
% 0.97/4.16 # Non-unit-clauses : 324
% 0.97/4.16 # Current number of unprocessed clauses: 35390
% 0.97/4.16 # ...number of literals in the above : 60757
% 0.97/4.16 # Current number of archived formulas : 0
% 0.97/4.16 # Current number of archived clauses : 22
% 0.97/4.16 # Clause-clause subsumption calls (NU) : 23963
% 0.97/4.16 # Rec. Clause-clause subsumption calls : 16791
% 0.97/4.16 # Non-unit clause-clause subsumptions : 390
% 0.97/4.16 # Unit Clause-clause subsumption calls : 6428
% 0.97/4.16 # Rewrite failures with RHS unbound : 483
% 0.97/4.16 # BW rewrite match attempts : 10313
% 0.97/4.16 # BW rewrite match successes : 195
% 0.97/4.16 # Condensation attempts : 0
% 0.97/4.16 # Condensation successes : 0
% 0.97/4.16 # Termbank termtop insertions : 1881732
% 0.97/4.16
% 0.97/4.16 # -------------------------------------------------
% 0.97/4.16 # User time : 2.144 s
% 0.97/4.16 # System time : 0.040 s
% 0.97/4.16 # Total time : 2.184 s
% 0.97/4.16 # Maximum resident set size: 60436 pages
% 0.97/24.14 eprover: CPU time limit exceeded, terminating
% 0.97/24.14 eprover: CPU time limit exceeded, terminating
% 0.97/24.14 eprover: CPU time limit exceeded, terminating
% 0.97/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.15 eprover: No such file or directory
% 0.97/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.16 eprover: No such file or directory
% 0.97/24.16 eprover: No such file or directory
% 0.97/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.16 eprover: No such file or directory
% 0.97/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.16 eprover: No such file or directory
% 0.97/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.16 eprover: No such file or directory
% 0.97/24.16 eprover: No such file or directory
% 0.97/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.17 eprover: No such file or directory
% 0.97/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.17 eprover: No such file or directory
% 0.97/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.17 eprover: No such file or directory
% 0.97/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.17 eprover: No such file or directory
% 0.97/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.17 eprover: No such file or directory
% 0.97/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.17 eprover: No such file or directory
% 0.97/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.18 eprover: No such file or directory
% 0.97/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.18 eprover: No such file or directory
% 0.97/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.18 eprover: No such file or directory
% 0.97/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.18 eprover: No such file or directory
% 0.97/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.18 eprover: No such file or directory
% 0.97/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.19 eprover: No such file or directory
% 0.97/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.19 eprover: No such file or directory
% 0.97/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.19 eprover: No such file or directory
% 0.97/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.19 eprover: No such file or directory
% 0.97/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.19 eprover: No such file or directory
% 0.97/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.20 eprover: No such file or directory
% 0.97/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.20 eprover: No such file or directory
% 0.97/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.20 eprover: No such file or directory
% 0.97/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.20 eprover: No such file or directory
% 0.97/24.20 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.20 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.97/24.20 eprover: No such file or directory
% 0.97/24.20 eprover: No such file or directory
% 0.97/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.20 eprover: No such file or directory
% 0.97/24.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.21 eprover: No such file or directory
% 0.97/24.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.21 eprover: No such file or directory
% 0.97/24.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.97/24.22 eprover: No such file or directory
%------------------------------------------------------------------------------