TSTP Solution File: SWW178+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW178+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 00:10:14 EDT 2022
% Result : Theorem 0.52s 18.69s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 31 unt; 0 def)
% Number of atoms : 83 ( 25 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 57 ( 27 ~; 21 |; 1 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 78 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_complex__diff__def,axiom,
! [X4,X5] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,X4) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X5,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X4)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_complex__diff__def) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact__096cmod_A_Iw_A_L_Az_A_L_A_N_Az_J_A_N_Acmod_A_Iw_A_L_Az_J_A_060_061_Acmod_A_I_N_Az_J_096,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact__096cmod_A_Iw_A_L_Az_A_L_A_N_Az_J_A_N_Acmod_A_Iw_A_L_Az_J_A_060_061_Acmod_A_I_N_Az_J_096) ).
fof(fact_norm__minus__cancel,axiom,
! [X5,X6] :
( class_RealVector_Oreal__normed__vector(X6)
=> c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ouminus__class_Ouminus(X6,X5)) = c_RealVector_Onorm__class_Onorm(X6,X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_norm__minus__cancel) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X11,X13,X6] :
( class_Rings_Ocomm__semiring__1(X6)
=> c_Groups_Oplus__class_Oplus(X6,X13,X11) = c_Groups_Oplus__class_Oplus(X6,X11,X13) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(fact_add__diff__cancel,axiom,
! [X12,X13,X6] :
( class_Groups_Ogroup__add(X6)
=> c_Groups_Ominus__class_Ominus(X6,c_Groups_Oplus__class_Oplus(X6,X13,X12),X12) = X13 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_add__diff__cancel) ).
fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(fact_diff__minus__eq__add,axiom,
! [X12,X13,X6] :
( class_Groups_Ogroup__add(X6)
=> c_Groups_Ominus__class_Ominus(X6,X13,c_Groups_Ouminus__class_Ouminus(X6,X12)) = c_Groups_Oplus__class_Oplus(X6,X13,X12) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_diff__minus__eq__add) ).
fof(fact_add__le__cancel__right,axiom,
! [X8,X9,X10,X6] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oplus__class_Oplus(X6,X10,X9),c_Groups_Oplus__class_Oplus(X6,X8,X9))
<=> c_Orderings_Oord__class_Oless__eq(X6,X10,X8) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_add__le__cancel__right) ).
fof(fact_diff__add__cancel,axiom,
! [X12,X13,X6] :
( class_Groups_Ogroup__add(X6)
=> c_Groups_Oplus__class_Oplus(X6,c_Groups_Ominus__class_Ominus(X6,X13,X12),X12) = X13 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_diff__add__cancel) ).
fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_Complex__Ocomplex__Groups_Ogroup__add) ).
fof(fact_minus__real__def,axiom,
! [X4,X5] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,X4) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X5,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_minus__real__def) ).
fof(fact_minus__minus,axiom,
! [X13,X6] :
( class_Groups_Ogroup__add(X6)
=> c_Groups_Ouminus__class_Ouminus(X6,c_Groups_Ouminus__class_Ouminus(X6,X13)) = X13 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_minus__minus) ).
fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le) ).
fof(c_0_16,plain,
! [X6,X7] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X7,X6) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X7,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X6)),
inference(variable_rename,[status(thm)],[fact_complex__diff__def]) ).
fof(c_0_17,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(assume_negation,[status(cth)],[conj_0]) ).
cnf(c_0_18,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),
inference(split_conjunct,[status(thm)],[fact__096cmod_A_Iw_A_L_Az_A_L_A_N_Az_J_A_N_Acmod_A_Iw_A_L_Az_J_A_060_061_Acmod_A_I_N_Az_J_096]) ).
cnf(c_0_19,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X2)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X7,X8] :
( ~ class_RealVector_Oreal__normed__vector(X8)
| c_RealVector_Onorm__class_Onorm(X8,c_Groups_Ouminus__class_Ouminus(X8,X7)) = c_RealVector_Onorm__class_Onorm(X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__minus__cancel])]) ).
fof(c_0_21,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X14,X15,X16] :
( ~ class_Rings_Ocomm__semiring__1(X16)
| c_Groups_Oplus__class_Oplus(X16,X15,X14) = c_Groups_Oplus__class_Oplus(X16,X14,X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])]) ).
cnf(c_0_23,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_RealVector_Onorm__class_Onorm(X1,X2)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
fof(c_0_26,plain,
! [X14,X15,X16] :
( ~ class_Groups_Ogroup__add(X16)
| c_Groups_Ominus__class_Ominus(X16,c_Groups_Oplus__class_Oplus(X16,X15,X14),X14) = X15 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__cancel])]) ).
cnf(c_0_27,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
fof(c_0_30,plain,
! [X14,X15,X16] :
( ~ class_Groups_Ogroup__add(X16)
| c_Groups_Ominus__class_Ominus(X16,X15,c_Groups_Ouminus__class_Ouminus(X16,X14)) = c_Groups_Oplus__class_Oplus(X16,X15,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__minus__eq__add])]) ).
fof(c_0_31,plain,
! [X11,X12,X13,X14] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X14,c_Groups_Oplus__class_Oplus(X14,X13,X12),c_Groups_Oplus__class_Oplus(X14,X11,X12))
| c_Orderings_Oord__class_Oless__eq(X14,X13,X11)
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X14) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X14,X13,X11)
| c_Orderings_Oord__class_Oless__eq(X14,c_Groups_Oplus__class_Oplus(X14,X13,X12),c_Groups_Oplus__class_Oplus(X14,X11,X12))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X14) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__right])])]) ).
fof(c_0_32,plain,
! [X14,X15,X16] :
( ~ class_Groups_Ogroup__add(X16)
| c_Groups_Oplus__class_Oplus(X16,c_Groups_Ominus__class_Ominus(X16,X15,X14),X14) = X15 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])]) ).
cnf(c_0_33,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_34,plain,
( c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ogroup__add]) ).
fof(c_0_36,plain,
! [X6,X7] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X6) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X7,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X6)),
inference(variable_rename,[status(thm)],[fact_minus__real__def]) ).
fof(c_0_37,plain,
! [X14,X15] :
( ~ class_Groups_Ogroup__add(X15)
| c_Groups_Ouminus__class_Ouminus(X15,c_Groups_Ouminus__class_Ouminus(X15,X14)) = X14 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__minus])]) ).
cnf(c_0_38,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_39,plain,
( c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3)) = c_Groups_Oplus__class_Oplus(X1,X2,X3)
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_43,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ogroup__add]) ).
cnf(c_0_46,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35])]) ).
cnf(c_0_47,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
| ~ class_Groups_Ogroup__add(X1)
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4),X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_39]),c_0_35])]) ).
cnf(c_0_49,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_50,plain,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le]) ).
cnf(c_0_51,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_39]),c_0_45])]) ).
cnf(c_0_52,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[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_45]),c_0_50])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SWW178+1 : TPTP v8.1.0. Released v5.2.0.
% 0.14/0.15 % Command : run_ET %s %d
% 0.14/0.37 % Computer : n018.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sat Jun 4 15:17:02 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.52/18.69 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.52/18.69 # Preprocessing time : 0.119 s
% 0.52/18.69
% 0.52/18.69 # Proof found!
% 0.52/18.69 # SZS status Theorem
% 0.52/18.69 # SZS output start CNFRefutation
% See solution above
% 0.52/18.69 # Proof object total steps : 53
% 0.52/18.69 # Proof object clause steps : 26
% 0.52/18.69 # Proof object formula steps : 27
% 0.52/18.69 # Proof object conjectures : 7
% 0.52/18.69 # Proof object clause conjectures : 4
% 0.52/18.69 # Proof object formula conjectures : 3
% 0.52/18.69 # Proof object initial clauses used : 16
% 0.52/18.69 # Proof object initial formulas used : 16
% 0.52/18.69 # Proof object generating inferences : 9
% 0.52/18.69 # Proof object simplifying inferences : 20
% 0.52/18.69 # Training examples: 0 positive, 0 negative
% 0.52/18.69 # Parsed axioms : 1200
% 0.52/18.69 # Removed by relevancy pruning/SinE : 0
% 0.52/18.69 # Initial clauses : 1593
% 0.52/18.69 # Removed in clause preprocessing : 48
% 0.52/18.69 # Initial clauses in saturation : 1545
% 0.52/18.69 # Processed clauses : 25395
% 0.52/18.69 # ...of these trivial : 1205
% 0.52/18.69 # ...subsumed : 17996
% 0.52/18.69 # ...remaining for further processing : 6194
% 0.52/18.69 # Other redundant clauses eliminated : 2134
% 0.52/18.69 # Clauses deleted for lack of memory : 791537
% 0.52/18.69 # Backward-subsumed : 152
% 0.52/18.69 # Backward-rewritten : 778
% 0.52/18.69 # Generated clauses : 1087815
% 0.52/18.69 # ...of the previous two non-trivial : 1008018
% 0.52/18.69 # Contextual simplify-reflections : 1814
% 0.52/18.69 # Paramodulations : 1085410
% 0.52/18.69 # Factorizations : 14
% 0.52/18.69 # Equation resolutions : 2345
% 0.52/18.69 # Current number of processed clauses : 5207
% 0.52/18.69 # Positive orientable unit clauses : 896
% 0.52/18.69 # Positive unorientable unit clauses: 60
% 0.52/18.69 # Negative unit clauses : 455
% 0.52/18.69 # Non-unit-clauses : 3796
% 0.52/18.69 # Current number of unprocessed clauses: 141196
% 0.52/18.69 # ...number of literals in the above : 428706
% 0.52/18.69 # Current number of archived formulas : 0
% 0.52/18.69 # Current number of archived clauses : 931
% 0.52/18.69 # Clause-clause subsumption calls (NU) : 2050854
% 0.52/18.69 # Rec. Clause-clause subsumption calls : 1726154
% 0.52/18.69 # Non-unit clause-clause subsumptions : 7873
% 0.52/18.69 # Unit Clause-clause subsumption calls : 134859
% 0.52/18.69 # Rewrite failures with RHS unbound : 1303
% 0.52/18.69 # BW rewrite match attempts : 30218
% 0.52/18.69 # BW rewrite match successes : 714
% 0.52/18.69 # Condensation attempts : 0
% 0.52/18.69 # Condensation successes : 0
% 0.52/18.69 # Termbank termtop insertions : 21875165
% 0.52/18.69
% 0.52/18.69 # -------------------------------------------------
% 0.52/18.69 # User time : 17.221 s
% 0.52/18.69 # System time : 0.163 s
% 0.52/18.69 # Total time : 17.384 s
% 0.52/18.69 # Maximum resident set size: 154148 pages
% 0.52/23.56 eprover: CPU time limit exceeded, terminating
% 0.52/23.57 eprover: CPU time limit exceeded, terminating
% 0.52/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.57 eprover: No such file or directory
% 0.52/23.57 eprover: CPU time limit exceeded, terminating
% 0.52/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.58 eprover: No such file or directory
% 0.52/23.58 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.inCannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.58
% 0.52/23.58 eprover: No such file or directory
% 0.52/23.58 eprover: No such file or directory
% 0.52/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.59 eprover: No such file or directory
% 0.52/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.59 eprover: No such file or directory
% 0.52/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.59 eprover: No such file or directory
% 0.52/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.59 eprover: No such file or directory
% 0.52/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.59 eprover: No such file or directory
% 0.52/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.60 eprover: No such file or directory
% 0.52/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.60 eprover: No such file or directory
% 0.52/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.60 eprover: No such file or directory
% 0.52/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.60 eprover: No such file or directory
% 0.52/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.60 eprover: No such file or directory
% 0.52/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.61 eprover: No such file or directory
% 0.52/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.61 eprover: No such file or directory
% 0.52/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.61 eprover: No such file or directory
% 0.52/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.61 eprover: No such file or directory
% 0.52/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.61 eprover: No such file or directory
% 0.52/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.61 eprover: No such file or directory
% 0.52/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.61 eprover: No such file or directory
% 0.52/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.61 eprover: No such file or directory
% 0.52/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.62 eprover: No such file or directory
% 0.52/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.62 eprover: No such file or directory
% 0.52/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.62 eprover: No such file or directory
% 0.52/23.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.62 eprover: No such file or directory
% 0.52/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.63 eprover: No such file or directory
% 0.52/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/23.63 eprover: No such file or directory
% 0.52/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.63 eprover: No such file or directory
% 0.52/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.63 eprover: No such file or directory
% 0.52/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.63 eprover: No such file or directory
% 0.52/23.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.63 eprover: No such file or directory
% 0.52/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/23.64 eprover: No such file or directory
%------------------------------------------------------------------------------