%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW211+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 00:10:18 EDT 2022
% Result : Theorem 0.33s 1.52s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 59 ( 55 unt; 0 def)
% Number of atoms : 69 ( 39 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 11 con; 0-5 aty)
% Number of variables : 66 ( 5 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_succ__Bit0,axiom,
! [X38] : c_Int_Osucc(c_Int_OBit0(X38)) = c_Int_OBit1(X38),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_succ__Bit0) ).
fof(fact_Bit0__def,axiom,
! [X38] : c_Int_OBit0(X38) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X38,X38),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Bit0__def) ).
fof(fact_succ__def,axiom,
! [X38] : c_Int_Osucc(X38) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X38,c_Groups_Oone__class_Oone(tc_Int_Oint)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_succ__def) ).
fof(fact_one__is__num__one,axiom,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_one__is__num__one) ).
fof(fact_Bit0__Pls,axiom,
c_Int_OBit0(c_Int_OPls) = c_Int_OPls,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Bit0__Pls) ).
fof(fact_number__of__is__id,axiom,
! [X38] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X38) = X38,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_number__of__is__id) ).
fof(fact_real__sum__of__halves,axiom,
! [X27] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X27,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X27,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X27,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_real__sum__of__halves) ).
fof(fact_Re,axiom,
! [X28,X27] : c_Complex_ORe(c_Complex_Ocomplex_OComplex(X27,X28)) = X27,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Re) ).
fof(fact_Im,axiom,
! [X28,X27] : c_Complex_OIm(c_Complex_Ocomplex_OComplex(X27,X28)) = X28,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Im) ).
fof(fact__096abs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ax_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_L_Ae_A_P_A2_096,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact__096abs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ax_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_L_Ae_A_P_A2_096) ).
fof(fact_add__Pls__right,axiom,
! [X38] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X38,c_Int_OPls) = X38,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_add__Pls__right) ).
fof(fact_add__Pls,axiom,
! [X38] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X38) = X38,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_add__Pls) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_order__le__less__trans,axiom,
! [X34,X28,X27,X7] :
( class_Orderings_Opreorder(X7)
=> ( c_Orderings_Oord__class_Oless__eq(X7,X27,X28)
=> ( c_Orderings_Oord__class_Oless(X7,X28,X34)
=> c_Orderings_Oord__class_Oless(X7,X27,X34) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_order__le__less__trans) ).
fof(fact__096cmod_A_Is_A_If_A_Ig_An_J_J_A_N_AComplex_Ax_Ay_J_060_061_Aabs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_ARe_A_IComplex_Ax_Ay_J_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_AIm_A_IComplex_Ax_Ay_J_J_096,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_ORe(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_OIm(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact__096cmod_A_Is_A_If_A_Ig_An_J_J_A_N_AComplex_Ax_Ay_J_060_061_Aabs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_ARe_A_IComplex_Ax_Ay_J_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_AIm_A_IComplex_Ax_Ay_J_J_096) ).
fof(fact_o__apply,axiom,
! [X20,X1,X2,X19,X7,X18] : hAPP(c_Fun_Ocomp(X18,X7,X19,X2,X1),X20) = hAPP(X2,hAPP(X1,X20)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_o__apply) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(c_0_17,plain,
! [X39] : c_Int_Osucc(c_Int_OBit0(X39)) = c_Int_OBit1(X39),
inference(variable_rename,[status(thm)],[fact_succ__Bit0]) ).
fof(c_0_18,plain,
! [X39] : c_Int_OBit0(X39) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X39,X39),
inference(variable_rename,[status(thm)],[fact_Bit0__def]) ).
fof(c_0_19,plain,
! [X39] : c_Int_Osucc(X39) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X39,c_Groups_Oone__class_Oone(tc_Int_Oint)),
inference(variable_rename,[status(thm)],[fact_succ__def]) ).
cnf(c_0_20,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
inference(split_conjunct,[status(thm)],[fact_one__is__num__one]) ).
cnf(c_0_21,plain,
c_Int_Osucc(c_Int_OBit0(X1)) = c_Int_OBit1(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
c_Int_OBit0(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
c_Int_Osucc(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
c_Int_OBit0(c_Int_OPls) = c_Int_OPls,
inference(split_conjunct,[status(thm)],[fact_Bit0__Pls]) ).
fof(c_0_25,plain,
! [X39] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X39) = X39,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_26,plain,
! [X28] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X28,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X28,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X28,
inference(variable_rename,[status(thm)],[fact_real__sum__of__halves]) ).
fof(c_0_27,plain,
! [X29,X30] : c_Complex_ORe(c_Complex_Ocomplex_OComplex(X30,X29)) = X30,
inference(variable_rename,[status(thm)],[fact_Re]) ).
fof(c_0_28,plain,
! [X29,X30] : c_Complex_OIm(c_Complex_Ocomplex_OComplex(X30,X29)) = X29,
inference(variable_rename,[status(thm)],[fact_Im]) ).
cnf(c_0_29,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
inference(split_conjunct,[status(thm)],[fact__096abs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ax_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_L_Ae_A_P_A2_096]) ).
cnf(c_0_30,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_31,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls) = c_Int_OPls,
inference(rw,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_32,plain,
c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_34,plain,
! [X39] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X39,c_Int_OPls) = X39,
inference(variable_rename,[status(thm)],[fact_add__Pls__right]) ).
fof(c_0_35,plain,
! [X39] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X39) = X39,
inference(variable_rename,[status(thm)],[fact_add__Pls]) ).
fof(c_0_36,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_37,plain,
! [X35,X36,X37,X38] :
( ~ class_Orderings_Opreorder(X38)
| ~ c_Orderings_Oord__class_Oless__eq(X38,X37,X36)
| ~ c_Orderings_Oord__class_Oless(X38,X36,X35)
| c_Orderings_Oord__class_Oless(X38,X37,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__less__trans])]) ).
cnf(c_0_38,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_ORe(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_OIm(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))))),
inference(split_conjunct,[status(thm)],[fact__096cmod_A_Is_A_If_A_Ig_An_J_J_A_N_AComplex_Ax_Ay_J_060_061_Aabs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_ARe_A_IComplex_Ax_Ay_J_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_AIm_A_IComplex_Ax_Ay_J_J_096]) ).
cnf(c_0_39,plain,
c_Complex_ORe(c_Complex_Ocomplex_OComplex(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
c_Complex_OIm(c_Complex_Ocomplex_OComplex(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint))))))),
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_29,c_0_21]),c_0_21]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_42,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_43,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Int_OPls),c_Groups_Oone__class_Oone(tc_Int_Oint)))))) = X1,
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_33,c_0_21]),c_0_21]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_44,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls) = X1,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_46,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_47,plain,
! [X21,X22,X23,X24,X25,X26] : hAPP(c_Fun_Ocomp(X26,X25,X24,X23,X22),X21) = hAPP(X23,hAPP(X22,X21)),
inference(variable_rename,[status(thm)],[fact_o__apply]) ).
cnf(c_0_48,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_50,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(c_0_51,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
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_41,c_0_31]),c_0_42]),c_0_31]),c_0_42]),c_0_31]),c_0_42]),c_0_31]),c_0_42]) ).
cnf(c_0_52,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))) = X1,
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_43,c_0_44]),c_0_45]),c_0_44]),c_0_45]),c_0_44]),c_0_45]),c_0_44]),c_0_45]) ).
cnf(c_0_53,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,plain,
hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_56,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),v_e____),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW211+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 4 11:08:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.33/1.52 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.33/1.52 # Preprocessing time : 0.122 s
% 0.33/1.52
% 0.33/1.52 # Proof found!
% 0.33/1.52 # SZS status Theorem
% 0.33/1.52 # SZS output start CNFRefutation
% See solution above
% 0.33/1.52 # Proof object total steps : 59
% 0.33/1.52 # Proof object clause steps : 29
% 0.33/1.52 # Proof object formula steps : 30
% 0.33/1.52 # Proof object conjectures : 5
% 0.33/1.52 # Proof object clause conjectures : 2
% 0.33/1.52 # Proof object formula conjectures : 3
% 0.33/1.52 # Proof object initial clauses used : 17
% 0.33/1.52 # Proof object initial formulas used : 17
% 0.33/1.52 # Proof object generating inferences : 2
% 0.33/1.52 # Proof object simplifying inferences : 49
% 0.33/1.52 # Training examples: 0 positive, 0 negative
% 0.33/1.52 # Parsed axioms : 1230
% 0.33/1.52 # Removed by relevancy pruning/SinE : 0
% 0.33/1.52 # Initial clauses : 1668
% 0.33/1.52 # Removed in clause preprocessing : 65
% 0.33/1.52 # Initial clauses in saturation : 1603
% 0.33/1.52 # Processed clauses : 5679
% 0.33/1.52 # ...of these trivial : 140
% 0.33/1.52 # ...subsumed : 3029
% 0.33/1.52 # ...remaining for further processing : 2510
% 0.33/1.52 # Other redundant clauses eliminated : 83
% 0.33/1.52 # Clauses deleted for lack of memory : 0
% 0.33/1.52 # Backward-subsumed : 14
% 0.33/1.52 # Backward-rewritten : 123
% 0.33/1.52 # Generated clauses : 41951
% 0.33/1.52 # ...of the previous two non-trivial : 38608
% 0.33/1.52 # Contextual simplify-reflections : 272
% 0.33/1.52 # Paramodulations : 41800
% 0.33/1.52 # Factorizations : 10
% 0.33/1.52 # Equation resolutions : 141
% 0.33/1.52 # Current number of processed clauses : 2340
% 0.33/1.52 # Positive orientable unit clauses : 436
% 0.33/1.52 # Positive unorientable unit clauses: 11
% 0.33/1.52 # Negative unit clauses : 317
% 0.33/1.52 # Non-unit-clauses : 1576
% 0.33/1.52 # Current number of unprocessed clauses: 33567
% 0.33/1.52 # ...number of literals in the above : 100437
% 0.33/1.52 # Current number of archived formulas : 0
% 0.33/1.52 # Current number of archived clauses : 141
% 0.33/1.52 # Clause-clause subsumption calls (NU) : 455086
% 0.33/1.52 # Rec. Clause-clause subsumption calls : 275778
% 0.33/1.52 # Non-unit clause-clause subsumptions : 1436
% 0.33/1.52 # Unit Clause-clause subsumption calls : 48382
% 0.33/1.52 # Rewrite failures with RHS unbound : 0
% 0.33/1.52 # BW rewrite match attempts : 1561
% 0.33/1.52 # BW rewrite match successes : 113
% 0.33/1.52 # Condensation attempts : 0
% 0.33/1.52 # Condensation successes : 0
% 0.33/1.52 # Termbank termtop insertions : 873474
% 0.33/1.52
% 0.33/1.52 # -------------------------------------------------
% 0.33/1.52 # User time : 0.842 s
% 0.33/1.52 # System time : 0.024 s
% 0.33/1.52 # Total time : 0.866 s
% 0.33/1.52 # Maximum resident set size: 42228 pages
% 0.33/23.51 eprover: CPU time limit exceeded, terminating
% 0.33/23.51 eprover: CPU time limit exceeded, terminating
% 0.33/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.52 eprover: No such file or directory
% 0.33/23.52 eprover: CPU time limit exceeded, terminating
% 0.33/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.52 eprover: No such file or directory
% 0.33/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.53 eprover: No such file or directory
% 0.33/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.53 eprover: No such file or directory
% 0.33/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.53 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.58 eprover: No such file or directory
% 0.33/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.58 eprover: No such file or directory
% 0.33/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.33/23.58 eprover: No such file or directory
% 0.33/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.58 eprover: No such file or directory
%------------------------------------------------------------------------------