TSTP Solution File: SWV712-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV712-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:55:10 EDT 2023

% Result   : Unsatisfiable 5.67s 1.35s
% Output   : CNFRefutation 5.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  13 unt;   0 nHn;  12 RR)
%            Number of literals    :   23 (  12 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   14 (   3 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;   7 con; 0-5 aty)
%            Number of variables   :   11 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____))),tc_Complex_Ocomplex)),v_i____)),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____))) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____))),tc_Complex_Ocomplex)),v_i____)),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____))),
    file('/export/starexec/sandbox2/tmp/tmp.F54tqK7Z2Y/E---3.1_15689.p',cls_conjecture_0) ).

cnf(cls_numeral__2__eq__2_0,axiom,
    c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox2/tmp/tmp.F54tqK7Z2Y/E---3.1_15689.p',cls_numeral__2__eq__2_0) ).

cnf(cls_Suc_Ohyps_0,axiom,
    ( c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),X1,X2) = hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,X1),X2)
    | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat) ),
    file('/export/starexec/sandbox2/tmp/tmp.F54tqK7Z2Y/E---3.1_15689.p',cls_Suc_Ohyps_0) ).

cnf(cls_class__semiring_Opwr__0_0,axiom,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.F54tqK7Z2Y/E---3.1_15689.p',cls_class__semiring_Opwr__0_0) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/tmp/tmp.F54tqK7Z2Y/E---3.1_15689.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

cnf(cls_True_0,axiom,
    c_HOL_Oord__class_Oless(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat),
    file('/export/starexec/sandbox2/tmp/tmp.F54tqK7Z2Y/E---3.1_15689.p',cls_True_0) ).

cnf(c_0_6,negated_conjecture,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____))),tc_Complex_Ocomplex)),v_i____)),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____))) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____))),tc_Complex_Ocomplex)),v_i____)),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____))),
    cls_conjecture_0 ).

cnf(c_0_7,axiom,
    c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),
    cls_numeral__2__eq__2_0 ).

cnf(c_0_8,axiom,
    ( c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),X1,X2) = hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,X1),X2)
    | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat) ),
    cls_Suc_Ohyps_0 ).

cnf(c_0_9,axiom,
    ( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Opwr__0_0 ).

cnf(c_0_10,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).

cnf(c_0_11,axiom,
    c_HOL_Oord__class_Oless(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat),
    cls_True_0 ).

cnf(c_0_12,negated_conjecture,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____))),tc_Complex_Ocomplex)),v_i____)),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____))) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____))),tc_Complex_Ocomplex)),v_i____)),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_13,plain,
    ( c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),X1,X2) = hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,X1),X2)
    | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7]),c_0_7]) ).

cnf(c_0_14,plain,
    hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,plain,
    c_HOL_Oord__class_Oless(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),tc_nat),
    inference(rw,[status(thm)],[c_0_11,c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_OIDFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____))),tc_Complex_Ocomplex)),v_i____)),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____))) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),v_ka____))),tc_Complex_Ocomplex)),v_i____)),hAPP(c_FFT__Mirabelle_OIFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_14]),c_0_15])]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.21  % Problem    : SWV712-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.22  % Command    : run_E %s %d THM
% 0.22/0.43  % Computer : n022.cluster.edu
% 0.22/0.43  % Model    : x86_64 x86_64
% 0.22/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.43  % Memory   : 8042.1875MB
% 0.22/0.43  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.43  % CPULimit   : 2400
% 0.22/0.43  % WCLimit    : 300
% 0.22/0.43  % DateTime   : Tue Oct  3 04:22:24 EDT 2023
% 0.22/0.43  % CPUTime    : 
% 0.49/0.64  Running first-order theorem proving
% 0.49/0.64  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.F54tqK7Z2Y/E---3.1_15689.p
% 5.67/1.35  # Version: 3.1pre001
% 5.67/1.35  # Preprocessing class: FSLSSMSMSSSNFFN.
% 5.67/1.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.67/1.35  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 5.67/1.35  # Starting new_bool_3 with 300s (1) cores
% 5.67/1.35  # Starting new_bool_1 with 300s (1) cores
% 5.67/1.35  # Starting sh5l with 300s (1) cores
% 5.67/1.35  # sh5l with pid 15842 completed with status 0
% 5.67/1.35  # Result found by sh5l
% 5.67/1.35  # Preprocessing class: FSLSSMSMSSSNFFN.
% 5.67/1.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.67/1.35  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 5.67/1.35  # Starting new_bool_3 with 300s (1) cores
% 5.67/1.35  # Starting new_bool_1 with 300s (1) cores
% 5.67/1.35  # Starting sh5l with 300s (1) cores
% 5.67/1.35  # SinE strategy is gf500_gu_R04_F100_L20000
% 5.67/1.35  # Search class: FGHSM-FSLM31-DFFFFFNN
% 5.67/1.35  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.67/1.35  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.67/1.35  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 15845 completed with status 0
% 5.67/1.35  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.67/1.35  # Preprocessing class: FSLSSMSMSSSNFFN.
% 5.67/1.35  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.67/1.35  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 5.67/1.35  # Starting new_bool_3 with 300s (1) cores
% 5.67/1.35  # Starting new_bool_1 with 300s (1) cores
% 5.67/1.35  # Starting sh5l with 300s (1) cores
% 5.67/1.35  # SinE strategy is gf500_gu_R04_F100_L20000
% 5.67/1.35  # Search class: FGHSM-FSLM31-DFFFFFNN
% 5.67/1.35  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.67/1.35  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.67/1.35  # Preprocessing time       : 0.011 s
% 5.67/1.35  # Presaturation interreduction done
% 5.67/1.35  
% 5.67/1.35  # Proof found!
% 5.67/1.35  # SZS status Unsatisfiable
% 5.67/1.35  # SZS output start CNFRefutation
% See solution above
% 5.67/1.35  # Parsed axioms                        : 804
% 5.67/1.35  # Removed by relevancy pruning/SinE    : 126
% 5.67/1.35  # Initial clauses                      : 678
% 5.67/1.35  # Removed in clause preprocessing      : 0
% 5.67/1.35  # Initial clauses in saturation        : 678
% 5.67/1.35  # Processed clauses                    : 6848
% 5.67/1.35  # ...of these trivial                  : 126
% 5.67/1.35  # ...subsumed                          : 4827
% 5.67/1.35  # ...remaining for further processing  : 1895
% 5.67/1.35  # Other redundant clauses eliminated   : 359
% 5.67/1.35  # Clauses deleted for lack of memory   : 0
% 5.67/1.35  # Backward-subsumed                    : 68
% 5.67/1.35  # Backward-rewritten                   : 70
% 5.67/1.35  # Generated clauses                    : 34804
% 5.67/1.35  # ...of the previous two non-redundant : 28868
% 5.67/1.35  # ...aggressively subsumed             : 0
% 5.67/1.35  # Contextual simplify-reflections      : 17
% 5.67/1.35  # Paramodulations                      : 34421
% 5.67/1.35  # Factorizations                       : 8
% 5.67/1.35  # NegExts                              : 0
% 5.67/1.35  # Equation resolutions                 : 375
% 5.67/1.35  # Total rewrite steps                  : 36180
% 5.67/1.35  # Propositional unsat checks           : 0
% 5.67/1.35  #    Propositional check models        : 0
% 5.67/1.35  #    Propositional check unsatisfiable : 0
% 5.67/1.35  #    Propositional clauses             : 0
% 5.67/1.35  #    Propositional clauses after purity: 0
% 5.67/1.35  #    Propositional unsat core size     : 0
% 5.67/1.35  #    Propositional preprocessing time  : 0.000
% 5.67/1.35  #    Propositional encoding time       : 0.000
% 5.67/1.35  #    Propositional solver time         : 0.000
% 5.67/1.35  #    Success case prop preproc time    : 0.000
% 5.67/1.35  #    Success case prop encoding time   : 0.000
% 5.67/1.35  #    Success case prop solver time     : 0.000
% 5.67/1.35  # Current number of processed clauses  : 1270
% 5.67/1.35  #    Positive orientable unit clauses  : 178
% 5.67/1.35  #    Positive unorientable unit clauses: 7
% 5.67/1.35  #    Negative unit clauses             : 70
% 5.67/1.35  #    Non-unit-clauses                  : 1015
% 5.67/1.35  # Current number of unprocessed clauses: 23017
% 5.67/1.35  # ...number of literals in the above   : 69433
% 5.67/1.35  # Current number of archived formulas  : 0
% 5.67/1.35  # Current number of archived clauses   : 625
% 5.67/1.35  # Clause-clause subsumption calls (NU) : 283773
% 5.67/1.35  # Rec. Clause-clause subsumption calls : 133382
% 5.67/1.35  # Non-unit clause-clause subsumptions  : 2647
% 5.67/1.35  # Unit Clause-clause subsumption calls : 6452
% 5.67/1.35  # Rewrite failures with RHS unbound    : 0
% 5.67/1.35  # BW rewrite match attempts            : 434
% 5.67/1.35  # BW rewrite match successes           : 98
% 5.67/1.35  # Condensation attempts                : 0
% 5.67/1.35  # Condensation successes               : 0
% 5.67/1.35  # Termbank termtop insertions          : 819448
% 5.67/1.35  
% 5.67/1.35  # -------------------------------------------------
% 5.67/1.35  # User time                : 0.614 s
% 5.67/1.35  # System time              : 0.027 s
% 5.67/1.35  # Total time               : 0.641 s
% 5.67/1.35  # Maximum resident set size: 3172 pages
% 5.67/1.35  
% 5.67/1.35  # -------------------------------------------------
% 5.67/1.35  # User time                : 0.638 s
% 5.67/1.35  # System time              : 0.030 s
% 5.67/1.35  # Total time               : 0.668 s
% 5.67/1.35  # Maximum resident set size: 2272 pages
% 5.67/1.35  % E---3.1 exiting
% 5.67/1.35  % E---3.1 exiting
%------------------------------------------------------------------------------