TSTP Solution File: SWW223+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW223+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 00:10:20 EDT 2022
% Result : Theorem 0.61s 36.79s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 56 ( 41 unt; 0 def)
% Number of atoms : 84 ( 28 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 53 ( 25 ~; 20 |; 1 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 67 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Bit1__def,axiom,
! [X14] : c_Int_OBit1(X14) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X14),X14),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Bit1__def) ).
fof(fact_Bit0__def,axiom,
! [X14] : c_Int_OBit0(X14) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X14,X14),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Bit0__def) ).
fof(fact_one__is__num__one,axiom,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_one__is__num__one) ).
fof(fact_number__of__is__id,axiom,
! [X14] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X14) = X14,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_number__of__is__id) ).
fof(conj_2,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),v_e2____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_2) ).
fof(fact_real__mult__commute,axiom,
! [X20,X1] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X20) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X20,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_real__mult__commute) ).
fof(fact_mult__2__right,axiom,
! [X1,X2] :
( class_Int_Onumber__ring(X2)
=> c_Groups_Otimes__class_Otimes(X2,X1,c_Int_Onumber__class_Onumber__of(X2,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X2,X1,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_mult__2__right) ).
fof(fact_linorder__not__le,axiom,
! [X23,X5,X2] :
( class_Orderings_Olinorder(X2)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X5,X23)
<=> c_Orderings_Oord__class_Oless(X2,X23,X5) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_linorder__not__le) ).
fof(fact_add__Pls__right,axiom,
! [X14] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X14,c_Int_OPls) = X14,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_add__Pls__right) ).
fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X9,X6,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Groups_Oplus__class_Oplus(X2,X6,X9) = c_Groups_Oplus__class_Oplus(X2,X9,X6) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Int_Onumber__ring) ).
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_add__strict__mono,axiom,
! [X8,X9,X7,X6,X2] :
( class_Groups_Oordered__cancel__ab__semigroup__add(X2)
=> ( c_Orderings_Oord__class_Oless(X2,X6,X7)
=> ( c_Orderings_Oord__class_Oless(X2,X9,X8)
=> c_Orderings_Oord__class_Oless(X2,c_Groups_Oplus__class_Oplus(X2,X6,X9),c_Groups_Oplus__class_Oplus(X2,X7,X8)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_add__strict__mono) ).
fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add) ).
fof(conj_1,hypothesis,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_e2____),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(conj_0,hypothesis,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_a____,v_e2____),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(c_0_17,plain,
! [X15] : c_Int_OBit1(X15) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X15),X15),
inference(variable_rename,[status(thm)],[fact_Bit1__def]) ).
fof(c_0_18,plain,
! [X15] : c_Int_OBit0(X15) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X15,X15),
inference(variable_rename,[status(thm)],[fact_Bit0__def]) ).
cnf(c_0_19,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
inference(split_conjunct,[status(thm)],[fact_one__is__num__one]) ).
cnf(c_0_20,plain,
c_Int_OBit1(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X15] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X15) = X15,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
cnf(c_0_22,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),v_e2____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____)),
inference(split_conjunct,[status(thm)],[conj_2]) ).
cnf(c_0_23,plain,
c_Int_OBit0(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),v_e2____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_20]),c_0_20]) ).
cnf(c_0_27,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls) = c_Groups_Oone__class_Oone(tc_Int_Oint),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_28,plain,
! [X21,X22] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X22,X21) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X21,X22),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_Groups_Otimes__class_Otimes(X4,X3,c_Int_Onumber__class_Onumber__of(X4,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X4,X3,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__2__right])]) ).
fof(c_0_30,plain,
! [X24,X25,X26] :
( ( c_Orderings_Oord__class_Oless__eq(X26,X25,X24)
| c_Orderings_Oord__class_Oless(X26,X24,X25)
| ~ class_Orderings_Olinorder(X26) )
& ( ~ c_Orderings_Oord__class_Oless(X26,X24,X25)
| ~ c_Orderings_Oord__class_Oless__eq(X26,X25,X24)
| ~ class_Orderings_Olinorder(X26) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_linorder__not__le])])])]) ).
cnf(c_0_31,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v_e2____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_27]) ).
cnf(c_0_32,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X1,X2,X2)
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,plain,
! [X15] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X15,c_Int_OPls) = X15,
inference(variable_rename,[status(thm)],[fact_add__Pls__right]) ).
cnf(c_0_35,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_e2____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____)),
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
cnf(c_0_38,plain,
( c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X1,X2,X2)
| ~ class_Int_Onumber__ring(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_23]),c_0_20]),c_0_20]) ).
cnf(c_0_39,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls) = X1,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_40,plain,
! [X10,X11,X12] :
( ~ class_Rings_Ocomm__semiring__1(X12)
| c_Groups_Oplus__class_Oplus(X12,X11,X10) = c_Groups_Oplus__class_Oplus(X12,X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])]) ).
cnf(c_0_41,hypothesis,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_e2____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_42,plain,
( c_Groups_Otimes__class_Otimes(X1,X2,c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) = c_Groups_Oplus__class_Oplus(X1,X2,X2)
| ~ class_Int_Onumber__ring(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_39]),c_0_39]),c_0_39]) ).
cnf(c_0_43,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Int_Onumber__ring]) ).
cnf(c_0_44,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_40]) ).
cnf(c_0_45,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
fof(c_0_46,plain,
! [X10,X11,X12,X13,X14] :
( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X14)
| ~ c_Orderings_Oord__class_Oless(X14,X13,X12)
| ~ c_Orderings_Oord__class_Oless(X14,X11,X10)
| c_Orderings_Oord__class_Oless(X14,c_Groups_Oplus__class_Oplus(X14,X13,X11),c_Groups_Oplus__class_Oplus(X14,X12,X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__mono])]) ).
cnf(c_0_47,hypothesis,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_a____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e2____,v_e2____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_48,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))
| ~ c_Orderings_Oord__class_Oless(X1,X3,X5)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,plain,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add]) ).
cnf(c_0_51,hypothesis,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_a____,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e2____,v_e2____)),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,hypothesis,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_b____,v_m____)),v_e2____),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_54,hypothesis,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_a____,v_e2____),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_55,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW223+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 5 20:02:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.52/23.53 eprover: CPU time limit exceeded, terminating
% 0.52/23.54 eprover: CPU time limit exceeded, terminating
% 0.52/23.58 eprover: CPU time limit exceeded, terminating
% 0.52/23.61 eprover: CPU time limit exceeded, terminating
% 0.61/36.79 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.61/36.79
% 0.61/36.79 # Failure: Resource limit exceeded (time)
% 0.61/36.79 # OLD status Res
% 0.61/36.79 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.61/36.79 # Preprocessing time : 0.058 s
% 0.61/36.79 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.61/36.79 # Preprocessing time : 0.145 s
% 0.61/36.79
% 0.61/36.79 # Proof found!
% 0.61/36.79 # SZS status Theorem
% 0.61/36.79 # SZS output start CNFRefutation
% See solution above
% 0.61/36.79 # Proof object total steps : 56
% 0.61/36.79 # Proof object clause steps : 30
% 0.61/36.79 # Proof object formula steps : 26
% 0.61/36.79 # Proof object conjectures : 0
% 0.61/36.79 # Proof object clause conjectures : 0
% 0.61/36.79 # Proof object formula conjectures : 0
% 0.61/36.79 # Proof object initial clauses used : 17
% 0.61/36.79 # Proof object initial formulas used : 17
% 0.61/36.79 # Proof object generating inferences : 5
% 0.61/36.79 # Proof object simplifying inferences : 23
% 0.61/36.79 # Training examples: 0 positive, 0 negative
% 0.61/36.79 # Parsed axioms : 1206
% 0.61/36.79 # Removed by relevancy pruning/SinE : 0
% 0.61/36.79 # Initial clauses : 1747
% 0.61/36.79 # Removed in clause preprocessing : 89
% 0.61/36.79 # Initial clauses in saturation : 1658
% 0.61/36.79 # Processed clauses : 47831
% 0.61/36.79 # ...of these trivial : 649
% 0.61/36.79 # ...subsumed : 39969
% 0.61/36.79 # ...remaining for further processing : 7213
% 0.61/36.79 # Other redundant clauses eliminated : 996
% 0.61/36.79 # Clauses deleted for lack of memory : 307158
% 0.61/36.79 # Backward-subsumed : 280
% 0.61/36.79 # Backward-rewritten : 451
% 0.61/36.79 # Generated clauses : 495122
% 0.61/36.79 # ...of the previous two non-trivial : 459409
% 0.61/36.79 # Contextual simplify-reflections : 8999
% 0.61/36.79 # Paramodulations : 493829
% 0.61/36.79 # Factorizations : 56
% 0.61/36.79 # Equation resolutions : 1237
% 0.61/36.79 # Current number of processed clauses : 6449
% 0.61/36.79 # Positive orientable unit clauses : 561
% 0.61/36.79 # Positive unorientable unit clauses: 39
% 0.61/36.79 # Negative unit clauses : 690
% 0.61/36.79 # Non-unit-clauses : 5159
% 0.61/36.79 # Current number of unprocessed clauses: 96689
% 0.61/36.79 # ...number of literals in the above : 303736
% 0.61/36.79 # Current number of archived formulas : 0
% 0.61/36.79 # Current number of archived clauses : 733
% 0.61/36.79 # Clause-clause subsumption calls (NU) : 5982444
% 0.61/36.79 # Rec. Clause-clause subsumption calls : 4010663
% 0.61/36.79 # Non-unit clause-clause subsumptions : 23725
% 0.61/36.79 # Unit Clause-clause subsumption calls : 162040
% 0.61/36.79 # Rewrite failures with RHS unbound : 0
% 0.61/36.79 # BW rewrite match attempts : 10355
% 0.61/36.79 # BW rewrite match successes : 1544
% 0.61/36.79 # Condensation attempts : 0
% 0.61/36.79 # Condensation successes : 0
% 0.61/36.79 # Termbank termtop insertions : 36252141
% 0.61/36.79
% 0.61/36.79 # -------------------------------------------------
% 0.61/36.79 # User time : 12.825 s
% 0.61/36.79 # System time : 0.121 s
% 0.61/36.79 # Total time : 12.946 s
% 0.61/36.79 # Maximum resident set size: 149216 pages
% 0.61/46.58 eprover: CPU time limit exceeded, terminating
% 0.61/46.60 eprover: CPU time limit exceeded, terminating
% 0.61/46.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.60 eprover: No such file or directory
% 0.61/46.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.60 eprover: No such file or directory
% 0.61/46.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.61 eprover: No such file or directory
% 0.61/46.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.61 eprover: No such file or directory
% 0.61/46.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.62 eprover: No such file or directory
% 0.61/46.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.62 eprover: No such file or directory
% 0.61/46.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.62 eprover: No such file or directory
% 0.61/46.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.62 eprover: No such file or directory
% 0.61/46.63 eprover: CPU time limit exceeded, terminating
% 0.61/46.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.63 eprover: No such file or directory
% 0.61/46.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.63 eprover: No such file or directory
% 0.61/46.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.63 eprover: No such file or directory
% 0.61/46.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.63 eprover: No such file or directory
% 0.61/46.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.64 eprover: No such file or directory
% 0.61/46.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.64 eprover: No such file or directory
% 0.61/46.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.64 eprover: No such file or directory
% 0.61/46.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.64 eprover: No such file or directory
% 0.61/46.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.64 eprover: No such file or directory
% 0.61/46.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.65 eprover: No such file or directory
% 0.61/46.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/46.65 eprover: No such file or directory
% 0.61/46.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.65 eprover: No such file or directory
% 0.61/46.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.65 eprover: No such file or directory
% 0.61/46.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.65 eprover: No such file or directory
% 0.61/46.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.66 eprover: No such file or directory
% 0.61/46.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.66 eprover: No such file or directory
% 0.61/46.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.66 eprover: No such file or directory
% 0.61/46.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.67 eprover: No such file or directory
% 0.61/46.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.68 eprover: No such file or directory
% 0.61/46.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.68 eprover: No such file or directory
% 0.61/46.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/46.69 eprover: No such file or directory
%------------------------------------------------------------------------------