TSTP Solution File: SWW216+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW216+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:10:19 EDT 2022
% Result : Theorem 0.36s 3.54s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 67 ( 43 unt; 0 def)
% Number of atoms : 153 ( 28 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 148 ( 62 ~; 58 |; 13 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 95 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_linorder__not__less,axiom,
! [X20,X21,X10] :
( class_Orderings_Olinorder(X10)
=> ( ~ c_Orderings_Oord__class_Oless(X10,X21,X20)
<=> c_Orderings_Oord__class_Oless__eq(X10,X20,X21) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_linorder__not__less) ).
fof(fact_order__le__less__trans,axiom,
! [X5,X19,X11,X10] :
( class_Orderings_Opreorder(X10)
=> ( c_Orderings_Oord__class_Oless__eq(X10,X11,X19)
=> ( c_Orderings_Oord__class_Oless(X10,X19,X5)
=> c_Orderings_Oord__class_Oless(X10,X11,X5) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_order__le__less__trans) ).
fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(fact_order__less__asym,axiom,
! [X19,X11,X10] :
( class_Orderings_Opreorder(X10)
=> ( c_Orderings_Oord__class_Oless(X10,X11,X19)
=> ~ c_Orderings_Oord__class_Oless(X10,X19,X11) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_order__less__asym) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(fact_mult__less__cancel__right__disj,axiom,
! [X16,X18,X17,X10] :
( class_Rings_Olinordered__ring__strict(X10)
=> ( c_Orderings_Oord__class_Oless(X10,hAPP(c_Groups_Otimes__class_Otimes(X10,X17),X18),hAPP(c_Groups_Otimes__class_Otimes(X10,X16),X18))
<=> ( ( c_Orderings_Oord__class_Oless(X10,c_Groups_Ozero__class_Ozero(X10),X18)
& c_Orderings_Oord__class_Oless(X10,X17,X16) )
| ( c_Orderings_Oord__class_Oless(X10,X18,c_Groups_Ozero__class_Ozero(X10))
& c_Orderings_Oord__class_Oless(X10,X16,X17) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_mult__less__cancel__right__disj) ).
fof(fact_real__sgn__eq,axiom,
! [X11] : c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X11) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X11,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X11)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__sgn__eq) ).
fof(fact_divide__real__def,axiom,
! [X19,X11] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X11,X19) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X11),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X19)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_divide__real__def) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_m_I1_J) ).
fof(fact_abs__if,axiom,
! [X9,X10] :
( class_Groups_Oabs__if(X10)
=> ( ( c_Orderings_Oord__class_Oless(X10,X9,c_Groups_Ozero__class_Ozero(X10))
=> c_Groups_Oabs__class_Oabs(X10,X9) = c_Groups_Ouminus__class_Ouminus(X10,X9) )
& ( ~ c_Orderings_Oord__class_Oless(X10,X9,c_Groups_Ozero__class_Ozero(X10))
=> c_Groups_Oabs__class_Oabs(X10,X9) = X9 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_abs__if) ).
fof(fact_real__sgn__pos,axiom,
! [X11] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X11)
=> c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X11) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__sgn__pos) ).
fof(fact_less__le__not__le,axiom,
! [X20,X21,X10] :
( class_Orderings_Opreorder(X10)
=> ( c_Orderings_Oord__class_Oless(X10,X21,X20)
<=> ( c_Orderings_Oord__class_Oless__eq(X10,X21,X20)
& ~ c_Orderings_Oord__class_Oless__eq(X10,X20,X21) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_less__le__not__le) ).
fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Rings_Olinordered__ring__strict) ).
fof(arity_RealDef__Oreal__Groups_Oabs__if,axiom,
class_Groups_Oabs__if(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Groups_Oabs__if) ).
fof(fact_real__mult__commute,axiom,
! [X4,X5] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X5),X4) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4),X5),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__mult__commute) ).
fof(fact_real__mult__1,axiom,
! [X5] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5) = X5,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__mult__1) ).
fof(fact_H_I3_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_H_I3_J) ).
fof(fact_real__mult__assoc,axiom,
! [X6,X7,X8] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X8),X7)),X6) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X8),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X7),X6)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__mult__assoc) ).
fof(fact_real__le__refl,axiom,
! [X4] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X4),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__le__refl) ).
fof(c_0_20,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_21,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_22,plain,
! [X22,X23,X24] :
( ( c_Orderings_Oord__class_Oless(X24,X23,X22)
| c_Orderings_Oord__class_Oless__eq(X24,X22,X23)
| ~ class_Orderings_Olinorder(X24) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X24,X22,X23)
| ~ c_Orderings_Oord__class_Oless(X24,X23,X22)
| ~ class_Orderings_Olinorder(X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_linorder__not__less])])])]) ).
fof(c_0_23,plain,
! [X20,X21,X22,X23] :
( ~ class_Orderings_Opreorder(X23)
| ~ c_Orderings_Oord__class_Oless__eq(X23,X22,X21)
| ~ c_Orderings_Oord__class_Oless(X23,X21,X20)
| c_Orderings_Oord__class_Oless(X23,X22,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__less__trans])]) ).
cnf(c_0_24,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
fof(c_0_27,plain,
! [X20,X21,X22] :
( ~ class_Orderings_Opreorder(X22)
| ~ c_Orderings_Oord__class_Oless(X22,X21,X20)
| ~ c_Orderings_Oord__class_Oless(X22,X20,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_order__less__asym])])]) ).
cnf(c_0_28,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_30,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
fof(c_0_31,plain,
! [X19,X20,X21,X22] :
( ( c_Orderings_Oord__class_Oless(X22,X20,c_Groups_Ozero__class_Ozero(X22))
| c_Orderings_Oord__class_Oless(X22,c_Groups_Ozero__class_Ozero(X22),X20)
| ~ c_Orderings_Oord__class_Oless(X22,hAPP(c_Groups_Otimes__class_Otimes(X22,X21),X20),hAPP(c_Groups_Otimes__class_Otimes(X22,X19),X20))
| ~ class_Rings_Olinordered__ring__strict(X22) )
& ( c_Orderings_Oord__class_Oless(X22,X19,X21)
| c_Orderings_Oord__class_Oless(X22,c_Groups_Ozero__class_Ozero(X22),X20)
| ~ c_Orderings_Oord__class_Oless(X22,hAPP(c_Groups_Otimes__class_Otimes(X22,X21),X20),hAPP(c_Groups_Otimes__class_Otimes(X22,X19),X20))
| ~ class_Rings_Olinordered__ring__strict(X22) )
& ( c_Orderings_Oord__class_Oless(X22,X20,c_Groups_Ozero__class_Ozero(X22))
| c_Orderings_Oord__class_Oless(X22,X21,X19)
| ~ c_Orderings_Oord__class_Oless(X22,hAPP(c_Groups_Otimes__class_Otimes(X22,X21),X20),hAPP(c_Groups_Otimes__class_Otimes(X22,X19),X20))
| ~ class_Rings_Olinordered__ring__strict(X22) )
& ( c_Orderings_Oord__class_Oless(X22,X19,X21)
| c_Orderings_Oord__class_Oless(X22,X21,X19)
| ~ c_Orderings_Oord__class_Oless(X22,hAPP(c_Groups_Otimes__class_Otimes(X22,X21),X20),hAPP(c_Groups_Otimes__class_Otimes(X22,X19),X20))
| ~ class_Rings_Olinordered__ring__strict(X22) )
& ( ~ c_Orderings_Oord__class_Oless(X22,c_Groups_Ozero__class_Ozero(X22),X20)
| ~ c_Orderings_Oord__class_Oless(X22,X21,X19)
| c_Orderings_Oord__class_Oless(X22,hAPP(c_Groups_Otimes__class_Otimes(X22,X21),X20),hAPP(c_Groups_Otimes__class_Otimes(X22,X19),X20))
| ~ class_Rings_Olinordered__ring__strict(X22) )
& ( ~ c_Orderings_Oord__class_Oless(X22,X20,c_Groups_Ozero__class_Ozero(X22))
| ~ c_Orderings_Oord__class_Oless(X22,X19,X21)
| c_Orderings_Oord__class_Oless(X22,hAPP(c_Groups_Otimes__class_Otimes(X22,X21),X20),hAPP(c_Groups_Otimes__class_Otimes(X22,X19),X20))
| ~ class_Rings_Olinordered__ring__strict(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__right__disj])])]) ).
fof(c_0_32,plain,
! [X12] : c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X12) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X12,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X12)),
inference(variable_rename,[status(thm)],[fact_real__sgn__eq]) ).
fof(c_0_33,plain,
! [X20,X21] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X21,X20) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X21),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X20)),
inference(variable_rename,[status(thm)],[fact_divide__real__def]) ).
cnf(c_0_34,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
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,
! [X11,X12] :
( ( ~ c_Orderings_Oord__class_Oless(X12,X11,c_Groups_Ozero__class_Ozero(X12))
| c_Groups_Oabs__class_Oabs(X12,X11) = c_Groups_Ouminus__class_Ouminus(X12,X11)
| ~ class_Groups_Oabs__if(X12) )
& ( c_Orderings_Oord__class_Oless(X12,X11,c_Groups_Ozero__class_Ozero(X12))
| c_Groups_Oabs__class_Oabs(X12,X11) = X11
| ~ class_Groups_Oabs__if(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_abs__if])])])]) ).
fof(c_0_37,plain,
! [X12] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X12)
| c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X12) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__sgn__pos])]) ).
fof(c_0_38,plain,
! [X22,X23,X24] :
( ( c_Orderings_Oord__class_Oless__eq(X24,X23,X22)
| ~ c_Orderings_Oord__class_Oless(X24,X23,X22)
| ~ class_Orderings_Opreorder(X24) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X24,X22,X23)
| ~ c_Orderings_Oord__class_Oless(X24,X23,X22)
| ~ class_Orderings_Opreorder(X24) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X24,X23,X22)
| c_Orderings_Oord__class_Oless__eq(X24,X22,X23)
| c_Orderings_Oord__class_Oless(X24,X23,X22)
| ~ class_Orderings_Opreorder(X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_less__le__not__le])])])]) ).
cnf(c_0_39,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_40,plain,
( c_Orderings_Oord__class_Oless(X1,hAPP(c_Groups_Otimes__class_Otimes(X1,X2),X3),hAPP(c_Groups_Otimes__class_Otimes(X1,X4),X3))
| ~ class_Rings_Olinordered__ring__strict(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__ring__strict]) ).
cnf(c_0_42,plain,
c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_30])]) ).
cnf(c_0_45,plain,
( c_Groups_Oabs__class_Oabs(X1,X2) = X2
| c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
| ~ class_Groups_Oabs__if(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
class_Groups_Oabs__if(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oabs__if]) ).
cnf(c_0_47,plain,
( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_48,plain,
! [X6,X7] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X7),X6) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X6),X7),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
fof(c_0_49,plain,
! [X6] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X6) = X6,
inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).
cnf(c_0_50,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),v_m____))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_35])]) ).
cnf(c_0_52,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(split_conjunct,[status(thm)],[fact_H_I3_J]) ).
fof(c_0_53,plain,
! [X9,X10,X11] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X11),X10)),X9) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X11),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X10),X9)),
inference(variable_rename,[status(thm)],[fact_real__mult__assoc]) ).
cnf(c_0_54,plain,
hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))) = c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X1),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_55,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_m____) = v_m____,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_56,plain,
c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,v_m____) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_57,plain,
hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),X2) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,plain,
hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_59,plain,
! [X5] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X5),
inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).
cnf(c_0_60,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),v_m____),v_e)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_30])]) ).
cnf(c_0_61,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_e),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,v_m____))),
inference(rw,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_62,plain,
hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),X2)),X3) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,plain,
hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_m____),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,v_m____)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_64,plain,
hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_57]),c_0_63]),c_0_64]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW216+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n020.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 : 600
% 0.13/0.34 % DateTime : Mon Jun 6 08:28:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.36/3.54 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.36/3.54 # Preprocessing time : 0.124 s
% 0.36/3.54
% 0.36/3.54 # Proof found!
% 0.36/3.54 # SZS status Theorem
% 0.36/3.54 # SZS output start CNFRefutation
% See solution above
% 0.36/3.54 # Proof object total steps : 67
% 0.36/3.54 # Proof object clause steps : 32
% 0.36/3.54 # Proof object formula steps : 35
% 0.36/3.54 # Proof object conjectures : 9
% 0.36/3.54 # Proof object clause conjectures : 6
% 0.36/3.54 # Proof object formula conjectures : 3
% 0.36/3.54 # Proof object initial clauses used : 20
% 0.36/3.54 # Proof object initial formulas used : 20
% 0.36/3.54 # Proof object generating inferences : 10
% 0.36/3.54 # Proof object simplifying inferences : 22
% 0.36/3.54 # Training examples: 0 positive, 0 negative
% 0.36/3.54 # Parsed axioms : 1250
% 0.36/3.54 # Removed by relevancy pruning/SinE : 0
% 0.36/3.54 # Initial clauses : 1821
% 0.36/3.54 # Removed in clause preprocessing : 94
% 0.36/3.54 # Initial clauses in saturation : 1727
% 0.36/3.54 # Processed clauses : 10278
% 0.36/3.54 # ...of these trivial : 366
% 0.36/3.54 # ...subsumed : 6930
% 0.36/3.54 # ...remaining for further processing : 2982
% 0.36/3.54 # Other redundant clauses eliminated : 202
% 0.36/3.54 # Clauses deleted for lack of memory : 79274
% 0.36/3.54 # Backward-subsumed : 40
% 0.36/3.54 # Backward-rewritten : 90
% 0.36/3.54 # Generated clauses : 220419
% 0.36/3.54 # ...of the previous two non-trivial : 201975
% 0.36/3.54 # Contextual simplify-reflections : 874
% 0.36/3.54 # Paramodulations : 220062
% 0.36/3.54 # Factorizations : 20
% 0.36/3.54 # Equation resolutions : 291
% 0.36/3.54 # Current number of processed clauses : 2803
% 0.36/3.54 # Positive orientable unit clauses : 563
% 0.36/3.54 # Positive unorientable unit clauses: 23
% 0.36/3.54 # Negative unit clauses : 231
% 0.36/3.54 # Non-unit-clauses : 1986
% 0.36/3.54 # Current number of unprocessed clauses: 102454
% 0.36/3.54 # ...number of literals in the above : 300911
% 0.36/3.54 # Current number of archived formulas : 0
% 0.36/3.54 # Current number of archived clauses : 134
% 0.36/3.54 # Clause-clause subsumption calls (NU) : 682464
% 0.36/3.54 # Rec. Clause-clause subsumption calls : 511274
% 0.36/3.54 # Non-unit clause-clause subsumptions : 4111
% 0.36/3.54 # Unit Clause-clause subsumption calls : 53634
% 0.36/3.54 # Rewrite failures with RHS unbound : 0
% 0.36/3.54 # BW rewrite match attempts : 2273
% 0.36/3.54 # BW rewrite match successes : 215
% 0.36/3.54 # Condensation attempts : 0
% 0.36/3.54 # Condensation successes : 0
% 0.36/3.54 # Termbank termtop insertions : 5052310
% 0.36/3.54
% 0.36/3.54 # -------------------------------------------------
% 0.36/3.54 # User time : 2.915 s
% 0.36/3.54 # System time : 0.078 s
% 0.36/3.54 # Total time : 2.993 s
% 0.36/3.54 # Maximum resident set size: 135332 pages
% 0.36/23.51 eprover: CPU time limit exceeded, terminating
% 0.36/23.52 eprover: CPU time limit exceeded, terminating
% 0.36/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.53 eprover: No such file or directory
% 0.36/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.53 eprover: No such file or directory
% 0.36/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.54 eprover: No such file or directory
% 0.36/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.54 eprover: No such file or directory
% 0.36/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.54 eprover: No such file or directory
% 0.36/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.54 eprover: No such file or directory
% 0.36/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.55 eprover: No such file or directory
% 0.36/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.55 eprover: No such file or directory
% 0.36/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.55 eprover: No such file or directory
% 0.36/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.55 eprover: No such file or directory
% 0.36/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.55 eprover: No such file or directory
% 0.36/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.56 eprover: No such file or directory
% 0.36/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.56 eprover: No such file or directory
% 0.36/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.56 eprover: No such file or directory
% 0.36/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.56 eprover: No such file or directory
% 0.36/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.57 eprover: No such file or directory
% 0.36/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.57 eprover: No such file or directory
% 0.36/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.58 eprover: No such file or directory
% 0.36/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.58 eprover: No such file or directory
% 0.36/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.59 eprover: No such file or directory
% 0.36/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.59 eprover: No such file or directory
% 0.36/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.60 eprover: No such file or directory
%------------------------------------------------------------------------------