TSTP Solution File: SWW233+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW233+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:08:52 EDT 2023
% Result : Theorem 4.58s 1.29s
% Output : CNFRefutation 4.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 74 ( 33 unt; 0 def)
% Number of atoms : 134 ( 28 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 103 ( 43 ~; 43 |; 3 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 91 ( 2 sgn; 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_leI,axiom,
! [X12,X4,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless(X5,X4,X12)
=> c_Orderings_Oord__class_Oless__eq(X5,X12,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_leI) ).
fof(fact_real__le__trans,axiom,
! [X8,X9,X10] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,X9)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X8)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_real__le__trans) ).
fof(fact_less__eq__real__def,axiom,
! [X13,X14] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X13)
<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14,X13)
| X14 = X13 ) ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_less__eq__real__def) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',conj_0) ).
fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(fact_norm__ge__zero,axiom,
! [X4,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_norm__ge__zero) ).
fof(fact_natceiling__neg,axiom,
! [X4] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
=> c_RComplete_Onatceiling(X4) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_natceiling__neg) ).
fof(fact_real__le__eq__diff,axiom,
! [X13,X14] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X13)
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X14,X13),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_real__le__eq__diff) ).
fof(fact_real__of__nat__zero,axiom,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_real__of__nat__zero) ).
fof(fact_h,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_h) ).
fof(fact_real__of__nat__1,axiom,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_real__of__nat__1) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(fact_real__le__linear,axiom,
! [X6,X7] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7,X6)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X7) ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_real__le__linear) ).
fof(fact_abs__of__nonneg,axiom,
! [X16,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> ( c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X16)
=> c_Groups_Oabs__class_Oabs(X5,X16) = X16 ) ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_abs__of__nonneg) ).
fof(fact_real__le__refl,axiom,
! [X6] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X6),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_real__le__refl) ).
fof(fact_add__diff__cancel,axiom,
! [X17,X16,X5] :
( class_Groups_Ogroup__add(X5)
=> c_Groups_Ominus__class_Ominus(X5,c_Groups_Oplus__class_Oplus(X5,X16,X17),X17) = X16 ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_add__diff__cancel) ).
fof(fact_zero__neq__one,axiom,
! [X5] :
( class_Rings_Ozero__neq__one(X5)
=> c_Groups_Ozero__class_Ozero(X5) != c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_zero__neq__one) ).
fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(fact_natceiling__real__of__nat,axiom,
! [X38] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X38)) = X38,
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',fact_natceiling__real__of__nat) ).
fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
class_Rings_Ozero__neq__one(tc_Nat_Onat),
file('/export/starexec/sandbox/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p',arity_Nat__Onat__Rings_Ozero__neq__one) ).
fof(c_0_21,plain,
! [X12,X4,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ c_Orderings_Oord__class_Oless(X5,X4,X12)
=> c_Orderings_Oord__class_Oless__eq(X5,X12,X4) ) ),
inference(fof_simplification,[status(thm)],[fact_leI]) ).
fof(c_0_22,plain,
! [X783,X784,X785] :
( ~ class_Orderings_Olinorder(X785)
| c_Orderings_Oord__class_Oless(X785,X784,X783)
| c_Orderings_Oord__class_Oless__eq(X785,X783,X784) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
fof(c_0_23,plain,
! [X106,X107,X108] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X108,X107)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X107,X106)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X108,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).
fof(c_0_24,plain,
! [X899,X900] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X900,X899)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X900,X899)
| X900 = X899 )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X900,X899)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X900,X899) )
& ( X900 != X899
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X900,X899) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__real__def])])]) ).
fof(c_0_25,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_26,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
cnf(c_0_28,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_32,plain,
! [X200,X201] :
( ~ class_RealVector_Oreal__normed__vector(X201)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X201,X200)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__ge__zero])]) ).
fof(c_0_33,plain,
! [X1638] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1638,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| c_RComplete_Onatceiling(X1638) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__neg])]) ).
fof(c_0_34,plain,
! [X1041,X1042] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1042,X1041)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1042,X1041),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1042,X1041),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1042,X1041) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__eq__diff])]) ).
cnf(c_0_35,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r____),
inference(spm,[status(thm)],[c_0_30,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(X1,X2))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_real__of__nat__zero]) ).
cnf(c_0_39,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(split_conjunct,[status(thm)],[fact_h]) ).
cnf(c_0_40,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_real__of__nat__1]) ).
cnf(c_0_41,plain,
( c_RComplete_Onatceiling(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_r____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealVector_Onorm__class_Onorm(X1,X2))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(c_0_46,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( c_RComplete_Onatceiling(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
inference(rw,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_48,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(rw,[status(thm)],[c_0_42,c_0_38]) ).
fof(c_0_49,plain,
! [X104,X105] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X105,X104)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X104,X105) ),
inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).
fof(c_0_50,plain,
! [X188,X189] :
( ~ class_Groups_Oordered__ab__group__add__abs(X189)
| ~ c_Orderings_Oord__class_Oless__eq(X189,c_Groups_Ozero__class_Ozero(X189),X188)
| c_Groups_Oabs__class_Oabs(X189,X188) = X188 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__nonneg])]) ).
cnf(c_0_51,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v_r____),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
fof(c_0_52,plain,
! [X103] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X103,X103),
inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).
fof(c_0_53,plain,
! [X734,X735,X736] :
( ~ class_Groups_Ogroup__add(X736)
| c_Groups_Ominus__class_Ominus(X736,c_Groups_Oplus__class_Oplus(X736,X735,X734),X734) = X735 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__cancel])]) ).
fof(c_0_54,plain,
! [X273] :
( ~ class_Rings_Ozero__neq__one(X273)
| c_Groups_Ozero__class_Ozero(X273) != c_Groups_Oone__class_Oone(X273) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__neq__one])]) ).
cnf(c_0_55,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))) ),
inference(spm,[status(thm)],[c_0_28,c_0_46]) ).
cnf(c_0_56,plain,
( c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,plain,
( c_Groups_Oabs__class_Oabs(X1,X2) = X2
| ~ class_Groups_Oordered__ab__group__add__abs(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,negated_conjecture,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_r____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
inference(spm,[status(thm)],[c_0_28,c_0_51]) ).
cnf(c_0_60,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs]) ).
cnf(c_0_61,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,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_53]) ).
cnf(c_0_63,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ogroup__add]) ).
fof(c_0_64,plain,
! [X1681] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X1681)) = X1681,
inference(variable_rename,[status(thm)],[fact_natceiling__real__of__nat]) ).
cnf(c_0_65,plain,
( ~ class_Rings_Ozero__neq__one(X1)
| c_Groups_Ozero__class_Ozero(X1) != c_Groups_Oone__class_Oone(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
class_Rings_Ozero__neq__one(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ozero__neq__one]) ).
cnf(c_0_67,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))),
inference(spm,[status(thm)],[c_0_30,c_0_55]) ).
cnf(c_0_68,plain,
( c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_69,negated_conjecture,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____) = v_r____,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_38]),c_0_61])]) ).
cnf(c_0_70,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),X2) = X1,
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,plain,
c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_72,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.21 % Problem : SWW233+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.21 % Command : run_E %s %d THM
% 0.21/0.41 % Computer : n031.cluster.edu
% 0.21/0.41 % Model : x86_64 x86_64
% 0.21/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.41 % Memory : 8042.1875MB
% 0.21/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.41 % CPULimit : 2400
% 0.21/0.41 % WCLimit : 300
% 0.21/0.41 % DateTime : Mon Oct 2 23:10:28 EDT 2023
% 0.21/0.41 % CPUTime :
% 0.41/0.62 Running first-order theorem proving
% 0.41/0.62 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/tmp/tmp.exKyZ3EzXs/E---3.1_18610.p
% 4.58/1.29 # Version: 3.1pre001
% 4.58/1.29 # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.58/1.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.58/1.29 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.58/1.29 # Starting new_bool_3 with 300s (1) cores
% 4.58/1.29 # Starting new_bool_1 with 300s (1) cores
% 4.58/1.29 # Starting sh5l with 300s (1) cores
% 4.58/1.29 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18688 completed with status 0
% 4.58/1.29 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.58/1.29 # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.58/1.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.58/1.29 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.58/1.29 # No SInE strategy applied
% 4.58/1.29 # Search class: FGHSM-SMLM32-DFFFFFNN
% 4.58/1.29 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.58/1.29 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 4.58/1.29 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.58/1.29 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 4.58/1.29 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 4.58/1.29 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 4.58/1.29 # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 18698 completed with status 0
% 4.58/1.29 # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.58/1.29 # Preprocessing class: FMLMSMSMSSSNFFN.
% 4.58/1.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.58/1.29 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.58/1.29 # No SInE strategy applied
% 4.58/1.29 # Search class: FGHSM-SMLM32-DFFFFFNN
% 4.58/1.29 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 4.58/1.29 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 4.58/1.29 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.58/1.29 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 4.58/1.29 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 4.58/1.29 # Preprocessing time : 0.022 s
% 4.58/1.29 # Presaturation interreduction done
% 4.58/1.29
% 4.58/1.29 # Proof found!
% 4.58/1.29 # SZS status Theorem
% 4.58/1.29 # SZS output start CNFRefutation
% See solution above
% 4.58/1.29 # Parsed axioms : 1261
% 4.58/1.29 # Removed by relevancy pruning/SinE : 0
% 4.58/1.29 # Initial clauses : 1767
% 4.58/1.29 # Removed in clause preprocessing : 46
% 4.58/1.29 # Initial clauses in saturation : 1721
% 4.58/1.29 # Processed clauses : 5518
% 4.58/1.29 # ...of these trivial : 76
% 4.58/1.29 # ...subsumed : 2433
% 4.58/1.29 # ...remaining for further processing : 3009
% 4.58/1.29 # Other redundant clauses eliminated : 204
% 4.58/1.29 # Clauses deleted for lack of memory : 0
% 4.58/1.29 # Backward-subsumed : 154
% 4.58/1.29 # Backward-rewritten : 43
% 4.58/1.29 # Generated clauses : 15029
% 4.58/1.29 # ...of the previous two non-redundant : 12517
% 4.58/1.29 # ...aggressively subsumed : 0
% 4.58/1.29 # Contextual simplify-reflections : 2
% 4.58/1.29 # Paramodulations : 14824
% 4.58/1.29 # Factorizations : 10
% 4.58/1.29 # NegExts : 0
% 4.58/1.29 # Equation resolutions : 210
% 4.58/1.29 # Total rewrite steps : 9734
% 4.58/1.29 # Propositional unsat checks : 0
% 4.58/1.29 # Propositional check models : 0
% 4.58/1.29 # Propositional check unsatisfiable : 0
% 4.58/1.29 # Propositional clauses : 0
% 4.58/1.29 # Propositional clauses after purity: 0
% 4.58/1.29 # Propositional unsat core size : 0
% 4.58/1.29 # Propositional preprocessing time : 0.000
% 4.58/1.29 # Propositional encoding time : 0.000
% 4.58/1.29 # Propositional solver time : 0.000
% 4.58/1.29 # Success case prop preproc time : 0.000
% 4.58/1.29 # Success case prop encoding time : 0.000
% 4.58/1.29 # Success case prop solver time : 0.000
% 4.58/1.29 # Current number of processed clauses : 1241
% 4.58/1.29 # Positive orientable unit clauses : 430
% 4.58/1.29 # Positive unorientable unit clauses: 19
% 4.58/1.29 # Negative unit clauses : 134
% 4.58/1.29 # Non-unit-clauses : 658
% 4.58/1.29 # Current number of unprocessed clauses: 9887
% 4.58/1.29 # ...number of literals in the above : 22768
% 4.58/1.29 # Current number of archived formulas : 0
% 4.58/1.29 # Current number of archived clauses : 1633
% 4.58/1.29 # Clause-clause subsumption calls (NU) : 281810
% 4.58/1.29 # Rec. Clause-clause subsumption calls : 155857
% 4.58/1.29 # Non-unit clause-clause subsumptions : 1336
% 4.58/1.29 # Unit Clause-clause subsumption calls : 5826
% 4.58/1.29 # Rewrite failures with RHS unbound : 0
% 4.58/1.29 # BW rewrite match attempts : 2077
% 4.58/1.29 # BW rewrite match successes : 327
% 4.58/1.29 # Condensation attempts : 0
% 4.58/1.29 # Condensation successes : 0
% 4.58/1.29 # Termbank termtop insertions : 364408
% 4.58/1.29
% 4.58/1.29 # -------------------------------------------------
% 4.58/1.29 # User time : 0.582 s
% 4.58/1.29 # System time : 0.028 s
% 4.58/1.29 # Total time : 0.610 s
% 4.58/1.29 # Maximum resident set size: 8376 pages
% 4.58/1.29
% 4.58/1.29 # -------------------------------------------------
% 4.58/1.29 # User time : 2.670 s
% 4.58/1.29 # System time : 0.112 s
% 4.58/1.29 # Total time : 2.783 s
% 4.58/1.29 # Maximum resident set size: 3128 pages
% 4.58/1.29 % E---3.1 exiting
% 4.58/1.30 % E---3.1 exiting
%------------------------------------------------------------------------------