TSTP Solution File: SWW316+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW316+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 00:10:32 EDT 2022
% Result : Theorem 0.95s 2.13s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-3 aty)
% Number of variables : 37 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_hoare__derivs_OBody,axiom,
! [X15,X16,X17,X11,X10] :
( c_Hoare__Mirabelle_Ohoare__derivs(X10,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X10),tc_HOL_Obool)),X11),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X10),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X10)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X10))),hAPP(hAPP(c_COMBB(tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X10))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X10)),X17)),c_Com_Ocom_OBODY)),X16)),X15)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X10),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X10)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X10))),hAPP(hAPP(c_COMBB(tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X10))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X10)),X17)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),X16)),X15))
=> c_Hoare__Mirabelle_Ohoare__derivs(X10,X11,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X10),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X10)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X10))),hAPP(hAPP(c_COMBB(tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X10,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X10))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X10)),X17)),c_Com_Ocom_OBODY)),X16)),X15)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_hoare__derivs_OBody) ).
fof(conj_3,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,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)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_3) ).
fof(fact_cut,axiom,
! [X11,X12,X14,X10] :
( c_Hoare__Mirabelle_Ohoare__derivs(X10,X14,X12)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X10,X11,X14)
=> c_Hoare__Mirabelle_Ohoare__derivs(X10,X11,X12) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_cut) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),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)),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)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),v_Procs)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_asm,axiom,
! [X11,X12,X10] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X10),tc_HOL_Obool)),X12),X11))
=> c_Hoare__Mirabelle_Ohoare__derivs(X10,X11,X12) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_asm) ).
fof(conj_2,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_2) ).
fof(c_0_6,plain,
! [X18,X19,X20,X21,X22] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X22,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X22),tc_HOL_Obool)),X21),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X22),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X22)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X22))),hAPP(hAPP(c_COMBB(tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X22))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X22)),X20)),c_Com_Ocom_OBODY)),X19)),X18)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X22),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X22)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X22))),hAPP(hAPP(c_COMBB(tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X22))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X22)),X20)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),X19)),X18))
| c_Hoare__Mirabelle_Ohoare__derivs(X22,X21,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X22),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X22)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X22))),hAPP(hAPP(c_COMBB(tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X22,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X22))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X22)),X20)),c_Com_Ocom_OBODY)),X19)),X18)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_hoare__derivs_OBody])]) ).
fof(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,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(assume_negation,[status(cth)],[conj_3]) ).
fof(c_0_8,plain,
! [X15,X16,X17,X18] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X18,X17,X16)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X18,X15,X17)
| c_Hoare__Mirabelle_Ohoare__derivs(X18,X15,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])]) ).
cnf(c_0_9,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),c_Com_Ocom_OBODY)),X4)),X5))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),c_Com_Ocom_OBODY)),X4)),X5)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X1),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X1,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X1))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X1)),X3)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),X4)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),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)),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)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),v_Procs)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
fof(c_0_11,plain,
! [X13,X14,X15] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X15),tc_HOL_Obool)),X14),X13))
| c_Hoare__Mirabelle_Ohoare__derivs(X15,X13,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])]) ).
fof(c_0_12,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,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(fof_simplification,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,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_9,c_0_10]) ).
cnf(c_0_15,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
inference(split_conjunct,[status(thm)],[conj_2]) ).
cnf(c_0_17,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,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_12]) ).
cnf(c_0_18,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,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_Ohoare__derivs(t_a,X1,v_G) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW316+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 18:26:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.95/2.13 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.95/2.13 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.95/2.13 # Preprocessing time : 0.253 s
% 0.95/2.13
% 0.95/2.13 # Proof found!
% 0.95/2.13 # SZS status Theorem
% 0.95/2.13 # SZS output start CNFRefutation
% See solution above
% 0.95/2.13 # Proof object total steps : 21
% 0.95/2.13 # Proof object clause steps : 10
% 0.95/2.13 # Proof object formula steps : 11
% 0.95/2.13 # Proof object conjectures : 5
% 0.95/2.13 # Proof object clause conjectures : 2
% 0.95/2.13 # Proof object formula conjectures : 3
% 0.95/2.13 # Proof object initial clauses used : 6
% 0.95/2.13 # Proof object initial formulas used : 6
% 0.95/2.13 # Proof object generating inferences : 4
% 0.95/2.13 # Proof object simplifying inferences : 2
% 0.95/2.13 # Training examples: 0 positive, 0 negative
% 0.95/2.13 # Parsed axioms : 5227
% 0.95/2.13 # Removed by relevancy pruning/SinE : 5126
% 0.95/2.13 # Initial clauses : 142
% 0.95/2.13 # Removed in clause preprocessing : 3
% 0.95/2.13 # Initial clauses in saturation : 139
% 0.95/2.13 # Processed clauses : 144
% 0.95/2.13 # ...of these trivial : 2
% 0.95/2.13 # ...subsumed : 19
% 0.95/2.13 # ...remaining for further processing : 123
% 0.95/2.13 # Other redundant clauses eliminated : 3
% 0.95/2.13 # Clauses deleted for lack of memory : 0
% 0.95/2.13 # Backward-subsumed : 0
% 0.95/2.13 # Backward-rewritten : 0
% 0.95/2.13 # Generated clauses : 1018
% 0.95/2.13 # ...of the previous two non-trivial : 945
% 0.95/2.13 # Contextual simplify-reflections : 0
% 0.95/2.13 # Paramodulations : 1007
% 0.95/2.13 # Factorizations : 0
% 0.95/2.13 # Equation resolutions : 11
% 0.95/2.13 # Current number of processed clauses : 123
% 0.95/2.13 # Positive orientable unit clauses : 29
% 0.95/2.13 # Positive unorientable unit clauses: 7
% 0.95/2.13 # Negative unit clauses : 4
% 0.95/2.13 # Non-unit-clauses : 83
% 0.95/2.13 # Current number of unprocessed clauses: 940
% 0.95/2.13 # ...number of literals in the above : 2097
% 0.95/2.13 # Current number of archived formulas : 0
% 0.95/2.13 # Current number of archived clauses : 0
% 0.95/2.13 # Clause-clause subsumption calls (NU) : 1952
% 0.95/2.13 # Rec. Clause-clause subsumption calls : 1347
% 0.95/2.13 # Non-unit clause-clause subsumptions : 15
% 0.95/2.13 # Unit Clause-clause subsumption calls : 67
% 0.95/2.13 # Rewrite failures with RHS unbound : 8
% 0.95/2.13 # BW rewrite match attempts : 141
% 0.95/2.13 # BW rewrite match successes : 15
% 0.95/2.13 # Condensation attempts : 0
% 0.95/2.13 # Condensation successes : 0
% 0.95/2.13 # Termbank termtop insertions : 190501
% 0.95/2.13
% 0.95/2.13 # -------------------------------------------------
% 0.95/2.13 # User time : 0.280 s
% 0.95/2.13 # System time : 0.020 s
% 0.95/2.13 # Total time : 0.300 s
% 0.95/2.13 # Maximum resident set size: 14352 pages
% 0.95/24.12 eprover: CPU time limit exceeded, terminating
% 0.95/24.12 eprover: CPU time limit exceeded, terminating
% 0.95/24.13 eprover: CPU time limit exceeded, terminating
% 0.95/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.14 eprover: No such file or directory
% 0.95/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.14 eprover: No such file or directory
% 0.95/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.14 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16 eprover: No such file or directory
% 0.95/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.16 eprover: No such file or directory
% 0.95/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16 eprover: No such file or directory
% 0.95/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.16 eprover: No such file or directory
% 0.95/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16 eprover: No such file or directory
% 0.95/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16 eprover: No such file or directory
% 0.95/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17 eprover: No such file or directory
% 0.95/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.17 eprover: No such file or directory
% 0.95/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17 eprover: No such file or directory
% 0.95/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.17 eprover: No such file or directory
% 0.95/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17 eprover: No such file or directory
% 0.95/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17 eprover: No such file or directory
% 0.95/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.18 eprover: No such file or directory
% 0.95/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18 eprover: No such file or directory
% 0.95/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18 eprover: No such file or directory
% 0.95/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.18 eprover: No such file or directory
% 0.95/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18 eprover: No such file or directory
% 0.95/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18 eprover: No such file or directory
% 0.95/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.18 eprover: No such file or directory
% 0.95/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19 eprover: No such file or directory
% 0.95/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19 eprover: No such file or directory
% 0.95/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.19 eprover: No such file or directory
% 0.95/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19 eprover: No such file or directory
%------------------------------------------------------------------------------