%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW258+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:10:10 PM UTC 2026
% Result : Theorem 24.65s 4.76s
% Output : CNFRefutation 24.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 33 unt; 0 def)
% Number of atoms : 101 ( 22 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 88 ( 41 ~; 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(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/sandbox/benchmark/theBenchmark.p',conj_0) ).
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/sandbox/benchmark/theBenchmark.p',fact_inverse__inverse__eq) ).
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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(fact_real__less__def,axiom,
! [X21,X13] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X21)
<=> ( X13 != X21
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(fact_w0,axiom,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(c_0_16,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(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_17,plain,
! [X351,X352] :
( c_Rings_Oinverse__class_Oinverse(X352,c_Rings_Oinverse__class_Oinverse(X352,X351)) = X351
| ~ class_Rings_Odivision__ring__inverse__zero(X352) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__inverse__eq])])]) ).
fof(c_0_18,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)],[c_0_16]) ).
fof(c_0_19,plain,
! [X560,X561] :
( ( ~ class_Fields_Olinordered__field__inverse__zero(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)) ) ),
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_20,plain,
( ~ class_Rings_Odivision__ring__inverse__zero(X1)
| c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Oinverse(X1,X2)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,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_22,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_18]) ).
cnf(c_0_23,plain,
( ~ class_Fields_Olinordered__field__inverse__zero(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))
| c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,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_20,c_0_21]) ).
cnf(c_0_25,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_26,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_27,plain,
! [X21,X13] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X21)
<=> ( X13 != X21
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X21) ) ),
inference(fof_simplification,[status(thm)],[fact_real__less__def]) ).
cnf(c_0_28,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_22]) ).
cnf(c_0_29,plain,
( ~ 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),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_30,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_26]) ).
fof(c_0_31,plain,
! [X836,X837] :
( 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))
| ~ 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),X837) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__order])])]) ).
fof(c_0_32,plain,
! [X777,X778] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X778,X777)
| X778 = X777
| ~ 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) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
cnf(c_0_33,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_28,c_0_29]),c_0_30]) ).
cnf(c_0_34,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,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_36,plain,
! [X515,X516,X517] :
( c_Orderings_Oord__class_Oless(X517,c_Groups_Ozero__class_Ozero(X517),hAPP(hAPP(c_Power_Opower__class_Opower(X517),X516),X515))
| ~ c_Orderings_Oord__class_Oless(X517,c_Groups_Ozero__class_Ozero(X517),X516)
| ~ class_Rings_Olinordered__semidom(X517) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power])])]) ).
cnf(c_0_37,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,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_39,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_33,c_0_34]),c_0_35])]) ).
cnf(c_0_40,plain,
( ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ class_Rings_Olinordered__semidom(X1)
| c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semidom]) ).
fof(c_0_42,plain,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(fof_simplification,[status(thm)],[fact_w0]) ).
fof(c_0_43,plain,
! [X319,X320] :
( ( ~ class_RealVector_Oreal__normed__vector(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)) ) ),
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_44,plain,
( 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____))
| c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,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_39,c_0_40]),c_0_41])]) ).
fof(c_0_46,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_47,plain,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(fof_nnf,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
( ~ class_RealVector_Oreal__normed__vector(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))
| X2 = c_Groups_Ozero__class_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,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_44,c_0_45]) ).
cnf(c_0_50,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(c_0_51,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,plain,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51])]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW258+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 % Computer : n026.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 09:47:21 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 24.65/4.76 % Version: 3.5.1
% 24.65/4.76 % Preprocessing class: FMLMSMSMSSSNFFN.
% 24.65/4.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.65/4.76 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.65/4.76 % Starting new_bool_3 with 300s (1) cores
% 24.65/4.76 % Starting new_bool_1 with 300s (1) cores
% 24.65/4.76 % Starting sh5l with 300s (1) cores
% 24.65/4.76 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1964007 completed with status 0
% 24.65/4.76 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 24.65/4.76 % Preprocessing class: FMLMSMSMSSSNFFN.
% 24.65/4.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.65/4.76 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.65/4.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 24.65/4.76 % No SInE strategy applied
% 24.65/4.76 % Search class: FGHSM-SSLM32-DFFFFFNN
% 24.65/4.76 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 24.65/4.76 % Starting SubtermCWHack with 136s (1) cores
% 24.65/4.76 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 24.65/4.76 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 24.65/4.76 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 24.65/4.76 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 24.65/4.76 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1964015 completed with status 0
% 24.65/4.76 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 24.65/4.76 % Preprocessing class: FMLMSMSMSSSNFFN.
% 24.65/4.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.65/4.76 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.65/4.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 24.65/4.76 % No SInE strategy applied
% 24.65/4.76 % Search class: FGHSM-SSLM32-DFFFFFNN
% 24.65/4.76 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 24.65/4.76 % Starting SubtermCWHack with 136s (1) cores
% 24.65/4.76 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 24.65/4.76 % Preprocessing time : 0.038 s
% 24.65/4.76 % Presaturation interreduction done
% 24.65/4.76
% 24.65/4.76 % Proof found!
% 24.65/4.76 % SZS status Theorem
% 24.65/4.76 % SZS output start CNFRefutation
% See solution above
% 24.65/4.76 % Parsed axioms : 1272
% 24.65/4.76 % Removed by relevancy pruning/SinE : 0
% 24.65/4.76 % Initial clauses : 1673
% 24.65/4.76 % Removed in clause preprocessing : 71
% 24.65/4.76 % Initial clauses in saturation : 1602
% 24.65/4.76 % Processed clauses : 12643
% 24.65/4.76 % ...of these trivial : 505
% 24.65/4.76 % ...subsumed : 7493
% 24.65/4.76 % ...remaining for further processing : 4645
% 24.65/4.76 % Other redundant clauses eliminated : 800
% 24.65/4.76 % Clauses deleted for lack of memory : 0
% 24.65/4.76 % Backward-subsumed : 101
% 24.65/4.76 % Backward-rewritten : 75
% 24.65/4.76 % Generated clauses : 87150
% 24.65/4.76 % ...of the previous two non-redundant : 76523
% 24.65/4.76 % ...aggressively subsumed : 0
% 24.65/4.76 % Contextual simplify-reflections : 19
% 24.65/4.76 % Paramodulations : 86307
% 24.65/4.76 % Factorizations : 13
% 24.65/4.76 % NegExts : 0
% 24.65/4.76 % Equation resolutions : 845
% 24.65/4.76 % Disequality decompositions : 0
% 24.65/4.76 % Total rewrite steps : 70478
% 24.65/4.76 % ...of those cached : 65642
% 24.65/4.76 % Propositional unsat checks : 0
% 24.65/4.76 % Propositional check models : 0
% 24.65/4.76 % Propositional check unsatisfiable : 0
% 24.65/4.76 % Propositional clauses : 0
% 24.65/4.76 % Propositional clauses after purity: 0
% 24.65/4.76 % Propositional unsat core size : 0
% 24.65/4.76 % Propositional preprocessing time : 0.000
% 24.65/4.76 % Propositional encoding time : 0.000
% 24.65/4.76 % Propositional solver time : 0.000
% 24.65/4.76 % Success case prop preproc time : 0.000
% 24.65/4.76 % Success case prop encoding time : 0.000
% 24.65/4.76 % Success case prop solver time : 0.000
% 24.65/4.76 % Current number of processed clauses : 3027
% 24.65/4.76 % Positive orientable unit clauses : 668
% 24.65/4.76 % Positive unorientable unit clauses: 13
% 24.65/4.76 % Negative unit clauses : 367
% 24.65/4.76 % Non-unit-clauses : 1979
% 24.65/4.76 % Current number of unprocessed clauses: 66571
% 24.65/4.76 % ...number of literals in the above : 177466
% 24.65/4.76 % Current number of archived formulas : 0
% 24.65/4.76 % Current number of archived clauses : 1477
% 24.65/4.76 % Clause-clause subsumption calls (NU) : 409327
% 24.65/4.76 % Rec. Clause-clause subsumption calls : 251987
% 24.65/4.76 % Non-unit clause-clause subsumptions : 2973
% 24.65/4.76 % Unit Clause-clause subsumption calls : 14877
% 24.65/4.76 % Rewrite failures with RHS unbound : 0
% 24.65/4.76 % BW rewrite match attempts : 9444
% 24.65/4.76 % BW rewrite match successes : 326
% 24.65/4.76 % Condensation attempts : 0
% 24.65/4.76 % Condensation successes : 0
% 24.65/4.76 % Termbank termtop insertions : 1915576
% 24.65/4.76 % Search garbage collected termcells : 19823
% 24.65/4.76
% 24.65/4.76 % -------------------------------------------------
% 24.65/4.76 % User time : 3.809 s
% 24.65/4.76 % System time : 0.138 s
% 24.65/4.76 % Total time : 3.947 s
% 24.65/4.76 % Maximum resident set size: 10152 pages
% 24.65/4.76
% 24.65/4.76 % -------------------------------------------------
% 24.65/4.76 % User time : 15.861 s
% 24.65/4.76 % System time : 0.582 s
% 24.65/4.76 % Total time : 16.442 s
% 24.65/4.76 % Maximum resident set size: 5888 pages
% 24.65/4.76 % E exiting
%------------------------------------------------------------------------------