TSTP Solution File: SWW258+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW258+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n010.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 : 300s
% DateTime : Mon Jun 24 18:13:58 EDT 2024
% Result : Theorem 18.60s 3.04s
% Output : CNFRefutation 18.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 32 unt; 0 def)
% Number of atoms : 100 ( 22 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 87 ( 40 ~; 30 |; 6 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 52 ( 1 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_inverse__inverse__eq,axiom,
! [X5,X6] :
( class_Rings_Odivision__ring__inverse__zero(X6)
=> c_Rings_Oinverse__class_Oinverse(X6,c_Rings_Oinverse__class_Oinverse(X6,X5)) = X5 ),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_inverse__inverse__eq) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',conj_0) ).
fof(fact_inverse__positive__iff__positive,axiom,
! [X25,X6] :
( class_Fields_Olinordered__field__inverse__zero(X6)
=> ( c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),c_Rings_Oinverse__class_Oinverse(X6,X25))
<=> c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X25) ) ),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_inverse__positive__iff__positive) ).
fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom,
class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
fof(fact_real__mult__commute,axiom,
! [X16,X15] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X15),X16) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X16),X15),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_real__mult__commute) ).
fof(fact_real__less__def,axiom,
! [X21,X13] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X21)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X21)
& X13 != X21 ) ),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_real__less__def) ).
fof(fact_real__mult__order,axiom,
! [X8,X10] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X10)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X8)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X10),X8)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_real__mult__order) ).
fof(fact_m_I1_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_m_I1_J) ).
fof(fact_zero__less__power,axiom,
! [X4,X5,X6] :
( class_Rings_Olinordered__semidom(X6)
=> ( c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X5)
=> c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X4)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_zero__less__power) ).
fof(fact__0960_A_060_061_Acmod_Aw_096,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact__0960_A_060_061_Acmod_Aw_096) ).
fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(fact_w0,axiom,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_w0) ).
fof(fact_norm__le__zero__iff,axiom,
! [X13,X6] :
( class_RealVector_Oreal__normed__vector(X6)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X6,X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
<=> X13 = c_Groups_Ozero__class_Ozero(X6) ) ),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_norm__le__zero__iff) ).
fof(fact_real__le__refl,axiom,
! [X16] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16,X16),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',fact_real__le__refl) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(c_0_16,plain,
! [X351,X352] :
( ~ class_Rings_Odivision__ring__inverse__zero(X352)
| c_Rings_Oinverse__class_Oinverse(X352,c_Rings_Oinverse__class_Oinverse(X352,X351)) = X351 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__inverse__eq])])]) ).
fof(c_0_17,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_18,plain,
! [X560,X561] :
( ( ~ c_Orderings_Oord__class_Oless(X561,c_Groups_Ozero__class_Ozero(X561),c_Rings_Oinverse__class_Oinverse(X561,X560))
| c_Orderings_Oord__class_Oless(X561,c_Groups_Ozero__class_Ozero(X561),X560)
| ~ class_Fields_Olinordered__field__inverse__zero(X561) )
& ( ~ c_Orderings_Oord__class_Oless(X561,c_Groups_Ozero__class_Ozero(X561),X560)
| c_Orderings_Oord__class_Oless(X561,c_Groups_Ozero__class_Ozero(X561),c_Rings_Oinverse__class_Oinverse(X561,X560))
| ~ class_Fields_Olinordered__field__inverse__zero(X561) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__positive__iff__positive])])])]) ).
cnf(c_0_19,plain,
( c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Oinverse(X1,X2)) = X2
| ~ class_Rings_Odivision__ring__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero]) ).
fof(c_0_21,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))
| ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
fof(c_0_25,plain,
! [X692,X693] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X693),X692) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X692),X693),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
fof(c_0_26,plain,
! [X21,X13] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X21)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X21)
& X13 != X21 ) ),
inference(fof_simplification,[status(thm)],[fact_real__less__def]) ).
cnf(c_0_27,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_29,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_25]) ).
fof(c_0_30,plain,
! [X836,X837] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X837)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X836)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X837),X836)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__order])])]) ).
fof(c_0_31,plain,
! [X777,X778] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X778,X777)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X778,X777) )
& ( X778 != X777
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X778,X777) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X778,X777)
| X778 = X777
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X778,X777) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
cnf(c_0_32,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_33,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(split_conjunct,[status(thm)],[fact_m_I1_J]) ).
fof(c_0_35,plain,
! [X515,X516,X517] :
( ~ class_Rings_Olinordered__semidom(X517)
| ~ c_Orderings_Oord__class_Oless(X517,c_Groups_Ozero__class_Ozero(X517),X516)
| c_Orderings_Oord__class_Oless(X517,c_Groups_Ozero__class_Ozero(X517),hAPP(hAPP(c_Power_Opower__class_Opower(X517),X516),X515)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power])])]) ).
cnf(c_0_36,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
inference(split_conjunct,[status(thm)],[fact__0960_A_060_061_Acmod_Aw_096]) ).
cnf(c_0_38,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_39,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
| ~ class_Rings_Olinordered__semidom(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semidom]) ).
fof(c_0_41,plain,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[fact_w0]) ).
fof(c_0_42,plain,
! [X319,X320] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X320,X319),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| X319 = c_Groups_Ozero__class_Ozero(X320)
| ~ class_RealVector_Oreal__normed__vector(X320) )
& ( X319 != c_Groups_Ozero__class_Ozero(X320)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X320,X319),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_RealVector_Oreal__normed__vector(X320) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__le__zero__iff])])])]) ).
cnf(c_0_43,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
fof(c_0_45,plain,
! [X691] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X691,X691),
inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).
fof(c_0_46,plain,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(fof_nnf,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(sr,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(c_0_50,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,plain,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW258+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.13 % Command : run_E %s %d SAT
% 0.13/0.34 % Computer : n010.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 : 300
% 0.13/0.34 % DateTime : Wed Jun 19 04:32:39 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.44/0.61 Running first-order model finding
% 0.44/0.61 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.avBDrRlW62/E---3.1_3495.p
% 18.60/3.04 # Version: 3.2.0
% 18.60/3.04 # Preprocessing class: FMLMSMSMSSSNFFN.
% 18.60/3.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.60/3.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.60/3.04 # Starting new_bool_3 with 300s (1) cores
% 18.60/3.04 # Starting new_bool_1 with 300s (1) cores
% 18.60/3.04 # Starting sh5l with 300s (1) cores
% 18.60/3.04 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3575 completed with status 0
% 18.60/3.04 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 18.60/3.04 # Preprocessing class: FMLMSMSMSSSNFFN.
% 18.60/3.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.60/3.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.60/3.04 # No SInE strategy applied
% 18.60/3.04 # Search class: FGHSM-SSLM32-DFFFFFNN
% 18.60/3.04 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 18.60/3.04 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 18.60/3.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 18.60/3.04 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 18.60/3.04 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 18.60/3.04 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 18.60/3.04 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3583 completed with status 0
% 18.60/3.04 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 18.60/3.04 # Preprocessing class: FMLMSMSMSSSNFFN.
% 18.60/3.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.60/3.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.60/3.04 # No SInE strategy applied
% 18.60/3.04 # Search class: FGHSM-SSLM32-DFFFFFNN
% 18.60/3.04 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 18.60/3.04 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 18.60/3.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 18.60/3.04 # Preprocessing time : 0.021 s
% 18.60/3.04 # Presaturation interreduction done
% 18.60/3.04
% 18.60/3.04 # Proof found!
% 18.60/3.04 # SZS status Theorem
% 18.60/3.04 # SZS output start CNFRefutation
% See solution above
% 18.60/3.04 # Parsed axioms : 1272
% 18.60/3.04 # Removed by relevancy pruning/SinE : 0
% 18.60/3.04 # Initial clauses : 1673
% 18.60/3.04 # Removed in clause preprocessing : 71
% 18.60/3.04 # Initial clauses in saturation : 1602
% 18.60/3.04 # Processed clauses : 12662
% 18.60/3.04 # ...of these trivial : 523
% 18.60/3.04 # ...subsumed : 7486
% 18.60/3.04 # ...remaining for further processing : 4653
% 18.60/3.04 # Other redundant clauses eliminated : 802
% 18.60/3.04 # Clauses deleted for lack of memory : 0
% 18.60/3.04 # Backward-subsumed : 99
% 18.60/3.04 # Backward-rewritten : 80
% 18.60/3.04 # Generated clauses : 87516
% 18.60/3.04 # ...of the previous two non-redundant : 76844
% 18.60/3.04 # ...aggressively subsumed : 0
% 18.60/3.04 # Contextual simplify-reflections : 19
% 18.60/3.04 # Paramodulations : 86670
% 18.60/3.04 # Factorizations : 13
% 18.60/3.04 # NegExts : 0
% 18.60/3.04 # Equation resolutions : 848
% 18.60/3.04 # Disequality decompositions : 0
% 18.60/3.04 # Total rewrite steps : 70569
% 18.60/3.04 # ...of those cached : 65722
% 18.60/3.04 # Propositional unsat checks : 0
% 18.60/3.04 # Propositional check models : 0
% 18.60/3.04 # Propositional check unsatisfiable : 0
% 18.60/3.04 # Propositional clauses : 0
% 18.60/3.04 # Propositional clauses after purity: 0
% 18.60/3.04 # Propositional unsat core size : 0
% 18.60/3.04 # Propositional preprocessing time : 0.000
% 18.60/3.04 # Propositional encoding time : 0.000
% 18.60/3.04 # Propositional solver time : 0.000
% 18.60/3.04 # Success case prop preproc time : 0.000
% 18.60/3.04 # Success case prop encoding time : 0.000
% 18.60/3.04 # Success case prop solver time : 0.000
% 18.60/3.04 # Current number of processed clauses : 3032
% 18.60/3.04 # Positive orientable unit clauses : 668
% 18.60/3.04 # Positive unorientable unit clauses: 13
% 18.60/3.04 # Negative unit clauses : 367
% 18.60/3.04 # Non-unit-clauses : 1984
% 18.60/3.04 # Current number of unprocessed clauses: 66879
% 18.60/3.04 # ...number of literals in the above : 178619
% 18.60/3.04 # Current number of archived formulas : 0
% 18.60/3.04 # Current number of archived clauses : 1480
% 18.60/3.04 # Clause-clause subsumption calls (NU) : 288585
% 18.60/3.04 # Rec. Clause-clause subsumption calls : 205293
% 18.60/3.04 # Non-unit clause-clause subsumptions : 2973
% 18.60/3.04 # Unit Clause-clause subsumption calls : 16321
% 18.60/3.04 # Rewrite failures with RHS unbound : 0
% 18.60/3.04 # BW rewrite match attempts : 9440
% 18.60/3.04 # BW rewrite match successes : 326
% 18.60/3.04 # Condensation attempts : 0
% 18.60/3.04 # Condensation successes : 0
% 18.60/3.04 # Termbank termtop insertions : 1916438
% 18.60/3.04 # Search garbage collected termcells : 19825
% 18.60/3.04
% 18.60/3.04 # -------------------------------------------------
% 18.60/3.04 # User time : 2.110 s
% 18.60/3.04 # System time : 0.081 s
% 18.60/3.04 # Total time : 2.191 s
% 18.60/3.04 # Maximum resident set size: 8284 pages
% 18.60/3.04
% 18.60/3.04 # -------------------------------------------------
% 18.60/3.04 # User time : 10.721 s
% 18.60/3.04 # System time : 0.391 s
% 18.60/3.04 # Total time : 11.112 s
% 18.60/3.04 # Maximum resident set size: 3112 pages
% 18.60/3.04 % E---3.1 exiting
% 18.60/3.04 % E exiting
%------------------------------------------------------------------------------