TSTP Solution File: SWW217+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW217+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 00:10:19 EDT 2022
% Result : Theorem 0.37s 1.55s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 59 ( 33 unt; 0 def)
% Number of atoms : 120 ( 18 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 108 ( 47 ~; 43 |; 4 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 84 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_norm__minus__commute,axiom,
! [X14,X15,X10] :
( class_RealVector_Oreal__normed__vector(X10)
=> c_RealVector_Onorm__class_Onorm(X10,c_Groups_Ominus__class_Ominus(X10,X15,X14)) = c_RealVector_Onorm__class_Onorm(X10,c_Groups_Ominus__class_Ominus(X10,X14,X15)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_norm__minus__commute) ).
fof(fact_real__mult__commute,axiom,
! [X38,X23] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X38) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X38),X23),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__mult__commute) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(fact_norm__mult,axiom,
! [X7,X9,X10] :
( class_RealVector_Oreal__normed__div__algebra(X10)
=> c_RealVector_Onorm__class_Onorm(X10,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X10),X9),X7)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X10,X9)),c_RealVector_Onorm__class_Onorm(X10,X7)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_norm__mult) ).
fof(fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096) ).
fof(fact_linorder__not__less,axiom,
! [X25,X20,X10] :
( class_Orderings_Olinorder(X10)
=> ( ~ c_Orderings_Oord__class_Oless(X10,X20,X25)
<=> c_Orderings_Oord__class_Oless__eq(X10,X25,X20) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_linorder__not__less) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
fof(fact_linorder__neqE__linordered__idom,axiom,
! [X7,X9,X10] :
( class_Rings_Olinordered__idom(X10)
=> ( X9 != X7
=> ( ~ c_Orderings_Oord__class_Oless(X10,X9,X7)
=> c_Orderings_Oord__class_Oless(X10,X7,X9) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_linorder__neqE__linordered__idom) ).
fof(fact_less__le__not__le,axiom,
! [X25,X20,X10] :
( class_Orderings_Opreorder(X10)
=> ( c_Orderings_Oord__class_Oless(X10,X20,X25)
<=> ( c_Orderings_Oord__class_Oless__eq(X10,X20,X25)
& ~ c_Orderings_Oord__class_Oless__eq(X10,X25,X20) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_less__le__not__le) ).
fof(fact_order__le__less__trans,axiom,
! [X23,X7,X9,X10] :
( class_Orderings_Opreorder(X10)
=> ( c_Orderings_Oord__class_Oless__eq(X10,X9,X7)
=> ( c_Orderings_Oord__class_Oless(X10,X7,X23)
=> c_Orderings_Oord__class_Oless(X10,X9,X23) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_order__le__less__trans) ).
fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(fact_order__less__not__sym,axiom,
! [X7,X9,X10] :
( class_Orderings_Opreorder(X10)
=> ( c_Orderings_Oord__class_Oless(X10,X9,X7)
=> ~ c_Orderings_Oord__class_Oless(X10,X7,X9) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_order__less__not__sym) ).
fof(fact_dme,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_dme) ).
fof(c_0_16,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_17,plain,
! [X16,X17,X18] :
( ~ class_RealVector_Oreal__normed__vector(X18)
| c_RealVector_Onorm__class_Onorm(X18,c_Groups_Ominus__class_Ominus(X18,X17,X16)) = c_RealVector_Onorm__class_Onorm(X18,c_Groups_Ominus__class_Ominus(X18,X16,X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__minus__commute])]) ).
fof(c_0_18,plain,
! [X39,X40] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X40),X39) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X39),X40),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
fof(c_0_19,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)) = c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X3,X2))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
fof(c_0_22,plain,
! [X11,X12,X13] :
( ~ class_RealVector_Oreal__normed__div__algebra(X13)
| c_RealVector_Onorm__class_Onorm(X13,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X12),X11)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X13,X12)),c_RealVector_Onorm__class_Onorm(X13,X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult])]) ).
cnf(c_0_23,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
inference(split_conjunct,[status(thm)],[fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096]) ).
cnf(c_0_24,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X26,X27,X28] :
( ( c_Orderings_Oord__class_Oless(X28,X27,X26)
| c_Orderings_Oord__class_Oless__eq(X28,X26,X27)
| ~ class_Orderings_Olinorder(X28) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X28,X26,X27)
| ~ c_Orderings_Oord__class_Oless(X28,X27,X26)
| ~ class_Orderings_Olinorder(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_linorder__not__less])])])]) ).
cnf(c_0_26,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
( c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),c_RealVector_Onorm__class_Onorm(X1,X3))
| ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]) ).
fof(c_0_30,plain,
! [X11,X12,X13] :
( ~ class_Rings_Olinordered__idom(X13)
| X12 = X11
| c_Orderings_Oord__class_Oless(X13,X12,X11)
| c_Orderings_Oord__class_Oless(X13,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_linorder__neqE__linordered__idom])])]) ).
fof(c_0_31,plain,
! [X26,X27,X28] :
( ( c_Orderings_Oord__class_Oless__eq(X28,X27,X26)
| ~ c_Orderings_Oord__class_Oless(X28,X27,X26)
| ~ class_Orderings_Opreorder(X28) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X28,X26,X27)
| ~ c_Orderings_Oord__class_Oless(X28,X27,X26)
| ~ class_Orderings_Opreorder(X28) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X28,X27,X26)
| c_Orderings_Oord__class_Oless__eq(X28,X26,X27)
| c_Orderings_Oord__class_Oless(X28,X27,X26)
| ~ class_Orderings_Opreorder(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_less__le__not__le])])])]) ).
cnf(c_0_32,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_33,plain,
! [X24,X25,X26,X27] :
( ~ class_Orderings_Opreorder(X27)
| ~ c_Orderings_Oord__class_Oless__eq(X27,X26,X25)
| ~ c_Orderings_Oord__class_Oless(X27,X25,X24)
| c_Orderings_Oord__class_Oless(X27,X26,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__less__trans])]) ).
cnf(c_0_34,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
cnf(c_0_36,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_37,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__idom]) ).
cnf(c_0_40,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
inference(rw,[status(thm)],[c_0_32,c_0_27]) ).
cnf(c_0_42,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(c_0_43,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_33]) ).
cnf(c_0_44,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_47,plain,
! [X11,X12,X13] :
( ~ class_Orderings_Opreorder(X13)
| ~ c_Orderings_Oord__class_Oless(X13,X12,X11)
| ~ c_Orderings_Oord__class_Oless(X13,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_order__less__not__sym])])]) ).
cnf(c_0_48,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
inference(split_conjunct,[status(thm)],[fact_dme]) ).
cnf(c_0_49,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_50,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_42])]) ).
cnf(c_0_51,negated_conjecture,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
inference(rw,[status(thm)],[c_0_48,c_0_24]) ).
cnf(c_0_54,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))),
inference(rw,[status(thm)],[c_0_49,c_0_37]) ).
cnf(c_0_55,negated_conjecture,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_42])]) ).
cnf(c_0_57,negated_conjecture,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_z,v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = v_e,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_58,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_57]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWW217+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 5 18:41:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.37/1.55 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.37/1.55 # Preprocessing time : 0.128 s
% 0.37/1.55
% 0.37/1.55 # Proof found!
% 0.37/1.55 # SZS status Theorem
% 0.37/1.55 # SZS output start CNFRefutation
% See solution above
% 0.37/1.55 # Proof object total steps : 59
% 0.37/1.55 # Proof object clause steps : 33
% 0.37/1.55 # Proof object formula steps : 26
% 0.37/1.55 # Proof object conjectures : 9
% 0.37/1.55 # Proof object clause conjectures : 6
% 0.37/1.55 # Proof object formula conjectures : 3
% 0.37/1.55 # Proof object initial clauses used : 16
% 0.37/1.55 # Proof object initial formulas used : 16
% 0.37/1.55 # Proof object generating inferences : 10
% 0.37/1.55 # Proof object simplifying inferences : 16
% 0.37/1.55 # Training examples: 0 positive, 0 negative
% 0.37/1.55 # Parsed axioms : 1260
% 0.37/1.55 # Removed by relevancy pruning/SinE : 0
% 0.37/1.55 # Initial clauses : 1778
% 0.37/1.55 # Removed in clause preprocessing : 59
% 0.37/1.55 # Initial clauses in saturation : 1719
% 0.37/1.55 # Processed clauses : 4786
% 0.37/1.55 # ...of these trivial : 124
% 0.37/1.55 # ...subsumed : 2417
% 0.37/1.55 # ...remaining for further processing : 2245
% 0.37/1.55 # Other redundant clauses eliminated : 246
% 0.37/1.55 # Clauses deleted for lack of memory : 0
% 0.37/1.55 # Backward-subsumed : 15
% 0.37/1.55 # Backward-rewritten : 80
% 0.37/1.55 # Generated clauses : 60106
% 0.37/1.55 # ...of the previous two non-trivial : 55270
% 0.37/1.55 # Contextual simplify-reflections : 150
% 0.37/1.55 # Paramodulations : 59787
% 0.37/1.55 # Factorizations : 17
% 0.37/1.55 # Equation resolutions : 302
% 0.37/1.55 # Current number of processed clauses : 2113
% 0.37/1.55 # Positive orientable unit clauses : 444
% 0.37/1.55 # Positive unorientable unit clauses: 16
% 0.37/1.55 # Negative unit clauses : 193
% 0.37/1.55 # Non-unit-clauses : 1460
% 0.37/1.55 # Current number of unprocessed clauses: 50492
% 0.37/1.55 # ...number of literals in the above : 164844
% 0.37/1.55 # Current number of archived formulas : 0
% 0.37/1.55 # Current number of archived clauses : 96
% 0.37/1.55 # Clause-clause subsumption calls (NU) : 253266
% 0.37/1.55 # Rec. Clause-clause subsumption calls : 148028
% 0.37/1.55 # Non-unit clause-clause subsumptions : 964
% 0.37/1.55 # Unit Clause-clause subsumption calls : 12311
% 0.37/1.55 # Rewrite failures with RHS unbound : 0
% 0.37/1.55 # BW rewrite match attempts : 2587
% 0.37/1.55 # BW rewrite match successes : 177
% 0.37/1.55 # Condensation attempts : 0
% 0.37/1.55 # Condensation successes : 0
% 0.37/1.55 # Termbank termtop insertions : 1493477
% 0.37/1.55
% 0.37/1.55 # -------------------------------------------------
% 0.37/1.55 # User time : 0.945 s
% 0.37/1.55 # System time : 0.036 s
% 0.37/1.55 # Total time : 0.981 s
% 0.37/1.55 # Maximum resident set size: 56912 pages
% 0.37/23.54 eprover: CPU time limit exceeded, terminating
% 0.37/23.55 eprover: CPU time limit exceeded, terminating
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.59 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.59 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.59 eprover: No such file or directory
% 0.37/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.59 eprover: No such file or directory
% 0.37/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.60 eprover: No such file or directory
% 0.37/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.60 eprover: No such file or directory
% 0.37/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.60 eprover: No such file or directory
% 0.37/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.60 eprover: No such file or directory
% 0.37/23.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.61 eprover: No such file or directory
% 0.37/23.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.61 eprover: No such file or directory
% 0.37/23.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.61 eprover: No such file or directory
% 0.37/23.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.62 eprover: No such file or directory
% 0.37/23.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.62 eprover: No such file or directory
%------------------------------------------------------------------------------