TSTP Solution File: SCT162+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SCT162+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 : Mon Jul 18 21:23:30 EDT 2022
% Result : Theorem 0.29s 5.49s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 54 ( 28 unt; 0 def)
% Number of atoms : 122 ( 34 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 111 ( 43 ~; 44 |; 9 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-5 aty)
% Number of variables : 115 ( 22 sgn 66 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_rev__finite__subset,axiom,
! [X7,X6,X5] :
( c_Finite__Set_Ofinite(X5,X6)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X7),X6))
=> c_Finite__Set_Ofinite(X5,X7) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_rev__finite__subset) ).
fof(fact_subset__UNIV,axiom,
! [X7,X5] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X7),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_subset__UNIV) ).
fof(fact_finite__option__UNIV,axiom,
! [X5] :
( c_Finite__Set_Ofinite(tc_Option_Ooption(X5),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X5),tc_HOL_Obool)))
<=> c_Finite__Set_Ofinite(X5,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__option__UNIV) ).
fof(fact_finite__code,axiom,
! [X7,X5] :
( class_Finite__Set_Ofinite(X5)
=> c_Finite__Set_Ofinite(X5,X7) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__code) ).
fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
class_Finite__Set_Ofinite(tc_HOL_Obool),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_HOL__Obool__Finite__Set_Ofinite) ).
fof(fact_finite__imageD,axiom,
! [X7,X2,X28,X5] :
( c_Finite__Set_Ofinite(X5,c_Set_Oimage(X28,X5,X2,X7))
=> ( c_Fun_Oinj__on(X28,X5,X2,X7)
=> c_Finite__Set_Ofinite(X28,X7) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__imageD) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X17] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X17),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X17,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Nat_Oadd__0__right) ).
fof(fact_inj__on__def,axiom,
! [X7,X2,X28,X5] :
( c_Fun_Oinj__on(X5,X28,X2,X7)
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X5),X3),X7))
=> ! [X41] :
( hBOOL(hAPP(hAPP(c_member(X5),X41),X7))
=> ( hAPP(X2,X3) = hAPP(X2,X41)
=> X3 = X41 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_inj__on__def) ).
fof(fact_finite__UNIV__inj__surj,axiom,
! [X2,X5] :
( c_Finite__Set_Ofinite(X5,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))
=> ( c_Fun_Oinj__on(X5,X5,X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))
=> c_Set_Oimage(X5,X5,X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_finite__UNIV__inj__surj) ).
fof(fact_inj__Suc,axiom,
! [X62] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X62),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_inj__Suc) ).
fof(fact_range__ex1__eq,axiom,
! [X21,X2,X28,X5] :
( c_Fun_Oinj__on(X5,X28,X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))
=> ( hBOOL(hAPP(hAPP(c_member(X28),X21),c_Set_Oimage(X5,X28,X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))))
<=> ? [X3] :
( X21 = hAPP(X2,X3)
& ! [X80] :
( X21 = hAPP(X2,X80)
=> X80 = X3 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_range__ex1__eq) ).
fof(fact_UNIV__I,axiom,
! [X20,X5] : hBOOL(hAPP(hAPP(c_member(X5),X20),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_UNIV__I) ).
fof(fact_Zero__not__Suc,axiom,
! [X17] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X17),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Zero__not__Suc) ).
fof(fact_nat_Osize_I1_J,axiom,
c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_nat_Osize_I1_J) ).
fof(c_0_14,plain,
! [X8,X9,X10] :
( ~ c_Finite__Set_Ofinite(X10,X9)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool),X8),X9))
| c_Finite__Set_Ofinite(X10,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rev__finite__subset])]) ).
fof(c_0_15,plain,
! [X8,X9] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),X8),c_Orderings_Otop__class_Otop(tc_fun(X9,tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_subset__UNIV]) ).
cnf(c_0_16,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),X3))
| ~ c_Finite__Set_Ofinite(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X6,X6] :
( ( ~ c_Finite__Set_Ofinite(tc_Option_Ooption(X6),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X6),tc_HOL_Obool)))
| c_Finite__Set_Ofinite(X6,c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool))) )
& ( ~ c_Finite__Set_Ofinite(X6,c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool)))
| c_Finite__Set_Ofinite(tc_Option_Ooption(X6),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X6),tc_HOL_Obool))) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__option__UNIV])])])]) ).
fof(c_0_19,plain,
! [X8,X9] :
( ~ class_Finite__Set_Ofinite(X9)
| c_Finite__Set_Ofinite(X9,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__code])]) ).
cnf(c_0_20,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( c_Finite__Set_Ofinite(tc_Option_Ooption(X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool)))
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
class_Finite__Set_Ofinite(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Finite__Set_Ofinite]) ).
cnf(c_0_24,plain,
( c_Finite__Set_Ofinite(tc_Option_Ooption(X1),X2)
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
c_Finite__Set_Ofinite(tc_HOL_Obool,X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_26,plain,
! [X29,X30,X31,X32] :
( ~ c_Finite__Set_Ofinite(X32,c_Set_Oimage(X31,X32,X30,X29))
| ~ c_Fun_Oinj__on(X31,X32,X30,X29)
| c_Finite__Set_Ofinite(X31,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageD])]) ).
cnf(c_0_27,plain,
c_Finite__Set_Ofinite(tc_Option_Ooption(tc_HOL_Obool),X1),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_28,plain,
! [X18] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X18,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_29,plain,
! [X42,X43,X44,X45,X46,X47,X42,X43,X44,X45] :
( ( ~ c_Fun_Oinj__on(X45,X44,X43,X42)
| ~ hBOOL(hAPP(hAPP(c_member(X45),X46),X42))
| ~ hBOOL(hAPP(hAPP(c_member(X45),X47),X42))
| hAPP(X43,X46) != hAPP(X43,X47)
| X46 = X47 )
& ( hBOOL(hAPP(hAPP(c_member(X45),esk5_4(X42,X43,X44,X45)),X42))
| c_Fun_Oinj__on(X45,X44,X43,X42) )
& ( hBOOL(hAPP(hAPP(c_member(X45),esk6_4(X42,X43,X44,X45)),X42))
| c_Fun_Oinj__on(X45,X44,X43,X42) )
& ( hAPP(X43,esk5_4(X42,X43,X44,X45)) = hAPP(X43,esk6_4(X42,X43,X44,X45))
| c_Fun_Oinj__on(X45,X44,X43,X42) )
& ( esk5_4(X42,X43,X44,X45) != esk6_4(X42,X43,X44,X45)
| c_Fun_Oinj__on(X45,X44,X43,X42) ) ),
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)],[fact_inj__on__def])])])])])])]) ).
fof(c_0_30,plain,
! [X6,X7] :
( ~ c_Finite__Set_Ofinite(X7,c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool)))
| ~ c_Fun_Oinj__on(X7,X7,X6,c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool)))
| c_Set_Oimage(X7,X7,X6,c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__UNIV__inj__surj])]) ).
fof(c_0_31,plain,
! [X63] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X63),
inference(variable_rename,[status(thm)],[fact_inj__Suc]) ).
cnf(c_0_32,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,X3,X4,X2)
| ~ c_Finite__Set_Ofinite(X3,c_Set_Oimage(X1,X3,X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
c_Finite__Set_Ofinite(tc_Option_Ooption(tc_Option_Ooption(tc_HOL_Obool)),X1),
inference(spm,[status(thm)],[c_0_24,c_0_27]) ).
cnf(c_0_34,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| hAPP(X3,esk5_4(X4,X3,X2,X1)) = hAPP(X3,esk6_4(X4,X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk5_4(X4,X3,X2,X1) != esk6_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( c_Set_Oimage(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))
| ~ c_Fun_Oinj__on(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,tc_Option_Ooption(tc_Option_Ooption(tc_HOL_Obool)),X3,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
c_Fun_Oinj__on(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_34]),c_0_36]) ).
fof(c_0_41,plain,
! [X81,X82,X83,X84,X86,X87] :
( ( X81 = hAPP(X82,esk36_4(X81,X82,X83,X84))
| ~ hBOOL(hAPP(hAPP(c_member(X83),X81),c_Set_Oimage(X84,X83,X82,c_Orderings_Otop__class_Otop(tc_fun(X84,tc_HOL_Obool)))))
| ~ c_Fun_Oinj__on(X84,X83,X82,c_Orderings_Otop__class_Otop(tc_fun(X84,tc_HOL_Obool))) )
& ( X81 != hAPP(X82,X86)
| X86 = esk36_4(X81,X82,X83,X84)
| ~ hBOOL(hAPP(hAPP(c_member(X83),X81),c_Set_Oimage(X84,X83,X82,c_Orderings_Otop__class_Otop(tc_fun(X84,tc_HOL_Obool)))))
| ~ c_Fun_Oinj__on(X84,X83,X82,c_Orderings_Otop__class_Otop(tc_fun(X84,tc_HOL_Obool))) )
& ( X81 = hAPP(X82,esk37_5(X81,X82,X83,X84,X87))
| X81 != hAPP(X82,X87)
| hBOOL(hAPP(hAPP(c_member(X83),X81),c_Set_Oimage(X84,X83,X82,c_Orderings_Otop__class_Otop(tc_fun(X84,tc_HOL_Obool)))))
| ~ c_Fun_Oinj__on(X84,X83,X82,c_Orderings_Otop__class_Otop(tc_fun(X84,tc_HOL_Obool))) )
& ( esk37_5(X81,X82,X83,X84,X87) != X87
| X81 != hAPP(X82,X87)
| hBOOL(hAPP(hAPP(c_member(X83),X81),c_Set_Oimage(X84,X83,X82,c_Orderings_Otop__class_Otop(tc_fun(X84,tc_HOL_Obool)))))
| ~ c_Fun_Oinj__on(X84,X83,X82,c_Orderings_Otop__class_Otop(tc_fun(X84,tc_HOL_Obool))) ) ),
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)],[fact_range__ex1__eq])])])])])])]) ).
cnf(c_0_42,plain,
( c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
c_Finite__Set_Ofinite(X1,X2),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_44,plain,
! [X21,X22] : hBOOL(hAPP(hAPP(c_member(X22),X21),c_Orderings_Otop__class_Otop(tc_fun(X22,tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_UNIV__I]) ).
fof(c_0_45,plain,
! [X18] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X18),
inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).
cnf(c_0_46,plain,
( X4 = hAPP(X3,esk36_4(X4,X3,X2,X1))
| ~ c_Fun_Oinj__on(X1,X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Set_Oimage(X1,X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_48,plain,
hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
hAPP(c_Nat_OSuc,esk36_4(X1,c_Nat_OSuc,tc_Nat_Onat,tc_Nat_Onat)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_38]),c_0_48])]) ).
cnf(c_0_51,plain,
c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[fact_nat_Osize_I1_J]) ).
cnf(c_0_52,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
$false,
inference(sr,[status(thm)],[c_0_51,c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SCT162+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n014.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 : 600
% 0.12/0.33 % DateTime : Sat Jul 2 01:59:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.29/5.49 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.29/5.49 # Preprocessing time : 0.209 s
% 0.29/5.49
% 0.29/5.49 # Proof found!
% 0.29/5.49 # SZS status Theorem
% 0.29/5.49 # SZS output start CNFRefutation
% See solution above
% 0.29/5.49 # Proof object total steps : 54
% 0.29/5.49 # Proof object clause steps : 28
% 0.29/5.49 # Proof object formula steps : 26
% 0.29/5.49 # Proof object conjectures : 0
% 0.29/5.49 # Proof object clause conjectures : 0
% 0.29/5.49 # Proof object formula conjectures : 0
% 0.29/5.49 # Proof object initial clauses used : 15
% 0.29/5.49 # Proof object initial formulas used : 14
% 0.29/5.49 # Proof object generating inferences : 11
% 0.29/5.49 # Proof object simplifying inferences : 8
% 0.29/5.49 # Training examples: 0 positive, 0 negative
% 0.29/5.49 # Parsed axioms : 532
% 0.29/5.49 # Removed by relevancy pruning/SinE : 0
% 0.29/5.49 # Initial clauses : 788
% 0.29/5.49 # Removed in clause preprocessing : 50
% 0.29/5.49 # Initial clauses in saturation : 738
% 0.29/5.49 # Processed clauses : 11962
% 0.29/5.49 # ...of these trivial : 245
% 0.29/5.49 # ...subsumed : 7732
% 0.29/5.49 # ...remaining for further processing : 3985
% 0.29/5.49 # Other redundant clauses eliminated : 492
% 0.29/5.49 # Clauses deleted for lack of memory : 63493
% 0.29/5.49 # Backward-subsumed : 51
% 0.29/5.49 # Backward-rewritten : 662
% 0.29/5.49 # Generated clauses : 201142
% 0.29/5.49 # ...of the previous two non-trivial : 193221
% 0.29/5.49 # Contextual simplify-reflections : 790
% 0.29/5.49 # Paramodulations : 200483
% 0.29/5.49 # Factorizations : 19
% 0.29/5.49 # Equation resolutions : 629
% 0.29/5.49 # Current number of processed clauses : 3191
% 0.29/5.49 # Positive orientable unit clauses : 220
% 0.29/5.49 # Positive unorientable unit clauses: 35
% 0.29/5.49 # Negative unit clauses : 768
% 0.29/5.49 # Non-unit-clauses : 2168
% 0.29/5.49 # Current number of unprocessed clauses: 106964
% 0.29/5.49 # ...number of literals in the above : 333944
% 0.29/5.49 # Current number of archived formulas : 0
% 0.29/5.49 # Current number of archived clauses : 730
% 0.29/5.49 # Clause-clause subsumption calls (NU) : 1176276
% 0.29/5.49 # Rec. Clause-clause subsumption calls : 674155
% 0.29/5.49 # Non-unit clause-clause subsumptions : 3542
% 0.29/5.49 # Unit Clause-clause subsumption calls : 83181
% 0.29/5.49 # Rewrite failures with RHS unbound : 707
% 0.29/5.49 # BW rewrite match attempts : 14750
% 0.29/5.49 # BW rewrite match successes : 661
% 0.29/5.49 # Condensation attempts : 0
% 0.29/5.49 # Condensation successes : 0
% 0.29/5.49 # Termbank termtop insertions : 5947720
% 0.29/5.49
% 0.29/5.49 # -------------------------------------------------
% 0.29/5.49 # User time : 4.378 s
% 0.29/5.49 # System time : 0.105 s
% 0.29/5.49 # Total time : 4.483 s
% 0.29/5.49 # Maximum resident set size: 139736 pages
% 0.29/23.45 eprover: CPU time limit exceeded, terminating
% 0.29/23.45 eprover: CPU time limit exceeded, terminating
% 0.29/23.46 eprover: CPU time limit exceeded, terminating
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.53 eprover: No such file or directory
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