TSTP Solution File: SWW259+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW259+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 20:08:55 EDT 2023
% Result : Theorem 784.96s 102.27s
% Output : CNFRefutation 784.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 20 unt; 0 def)
% Number of atoms : 66 ( 11 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 54 ( 24 ~; 20 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn; 20 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_nat__add__commute,axiom,
! [X6,X17] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X17,X6) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X6,X17),
file('/export/starexec/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p',fact_nat__add__commute) ).
fof(conj_0,hypothesis,
! [X91] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X91)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X91,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X91,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
=> v_thesis____ ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p',conj_0) ).
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p',conj_1) ).
fof(fact_inverse__mult__distrib,axiom,
! [X24,X7,X8] :
( class_Fields_Ofield__inverse__zero(X8)
=> c_Rings_Oinverse__class_Oinverse(X8,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X8),X7),X24)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X8),c_Rings_Oinverse__class_Oinverse(X8,X7)),c_Rings_Oinverse__class_Oinverse(X8,X24)) ),
file('/export/starexec/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p',fact_inverse__mult__distrib) ).
fof(fact_power__inverse,axiom,
! [X6,X7,X8] :
( class_Rings_Odivision__ring__inverse__zero(X8)
=> c_Rings_Oinverse__class_Oinverse(X8,hAPP(hAPP(c_Power_Opower__class_Opower(X8),X7),X6)) = hAPP(hAPP(c_Power_Opower__class_Opower(X8),c_Rings_Oinverse__class_Oinverse(X8,X7)),X6) ),
file('/export/starexec/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p',fact_power__inverse) ).
fof(fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096,axiom,
! [X4] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)
=> ? [X5] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X5)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p',fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096) ).
fof(fact_inv0,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
file('/export/starexec/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p',fact_inv0) ).
fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p',arity_RealDef__Oreal__Fields_Ofield__inverse__zero) ).
fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom,
class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p',arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero) ).
fof(c_0_9,plain,
! [X901,X902] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X902,X901) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X901,X902),
inference(variable_rename,[status(thm)],[fact_nat__add__commute]) ).
fof(c_0_10,hypothesis,
! [X2881] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2881)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2881,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2881,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
| v_thesis____ ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).
fof(c_0_11,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
fof(c_0_12,plain,
! [X234,X235,X236] :
( ~ class_Fields_Ofield__inverse__zero(X236)
| c_Rings_Oinverse__class_Oinverse(X236,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X236),X235),X234)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X236),c_Rings_Oinverse__class_Oinverse(X236,X235)),c_Rings_Oinverse__class_Oinverse(X236,X234)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__mult__distrib])]) ).
fof(c_0_13,plain,
! [X246,X247,X248] :
( ~ class_Rings_Odivision__ring__inverse__zero(X248)
| c_Rings_Oinverse__class_Oinverse(X248,hAPP(hAPP(c_Power_Opower__class_Opower(X248),X247),X246)) = hAPP(hAPP(c_Power_Opower__class_Opower(X248),c_Rings_Oinverse__class_Oinverse(X248,X247)),X246) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__inverse])]) ).
fof(c_0_14,plain,
! [X95] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk2_1(X95))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X95) )
& ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk2_1(X95),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X95) )
& ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk2_1(X95),X95)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X95) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096])])])]) ).
cnf(c_0_15,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(split_conjunct,[status(thm)],[fact_inv0]) ).
cnf(c_0_16,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,hypothesis,
( v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( c_Rings_Oinverse__class_Oinverse(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),c_Rings_Oinverse__class_Oinverse(X1,X3))
| ~ class_Fields_Ofield__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Ofield__inverse__zero]) ).
cnf(c_0_21,plain,
( c_Rings_Oinverse__class_Oinverse(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),X3)
| ~ class_Rings_Odivision__ring__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero]) ).
cnf(c_0_23,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk2_1(X1),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____))),v_m____))),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_25,hypothesis,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____))),v_m____)))
| ~ c_Orderings_Oord__class_Oless(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(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_16]),c_0_18]) ).
cnf(c_0_26,plain,
c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),X2),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk2_1(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_14]) ).
cnf(c_0_29,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk2_1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____))),v_m____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____))),v_m____))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk2_1(X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,hypothesis,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,v_m____)))
| ~ c_Orderings_Oord__class_Oless(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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk2_1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____))),v_m____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_33,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk2_1(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,v_m____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,v_m____))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_26]),c_0_27]),c_0_26]),c_0_27]) ).
cnf(c_0_34,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk2_1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),v_k____))),v_m____)))),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_35,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26]),c_0_27]),c_0_33]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.21 % Problem : SWW259+1 : TPTP v8.1.2. Released v5.2.0.
% 0.21/0.22 % Command : run_E %s %d THM
% 0.21/0.42 % Computer : n013.cluster.edu
% 0.21/0.42 % Model : x86_64 x86_64
% 0.21/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.42 % Memory : 8042.1875MB
% 0.21/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.42 % CPULimit : 2400
% 0.21/0.42 % WCLimit : 300
% 0.21/0.42 % DateTime : Mon Oct 2 22:22:44 EDT 2023
% 0.21/0.42 % CPUTime :
% 0.26/0.63 Running first-order theorem proving
% 0.26/0.63 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.9oBogSwqNk/E---3.1_5197.p
% 784.96/102.27 # Version: 3.1pre001
% 784.96/102.27 # Preprocessing class: FMLMSMSMSSSNFFN.
% 784.96/102.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 784.96/102.27 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 784.96/102.27 # Starting new_bool_3 with 300s (1) cores
% 784.96/102.27 # Starting new_bool_1 with 300s (1) cores
% 784.96/102.27 # Starting sh5l with 300s (1) cores
% 784.96/102.27 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5280 completed with status 0
% 784.96/102.27 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 784.96/102.27 # Preprocessing class: FMLMSMSMSSSNFFN.
% 784.96/102.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 784.96/102.27 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 784.96/102.27 # No SInE strategy applied
% 784.96/102.27 # Search class: FGHSM-SSLM32-DFFFFFNN
% 784.96/102.27 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 784.96/102.27 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 784.96/102.27 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 784.96/102.27 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 784.96/102.27 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 784.96/102.27 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 784.96/102.27 # G-E--_208_B07_F1_SE_CS_SP_PS_S4d with pid 5289 completed with status 0
% 784.96/102.27 # Result found by G-E--_208_B07_F1_SE_CS_SP_PS_S4d
% 784.96/102.27 # Preprocessing class: FMLMSMSMSSSNFFN.
% 784.96/102.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 784.96/102.27 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 784.96/102.27 # No SInE strategy applied
% 784.96/102.27 # Search class: FGHSM-SSLM32-DFFFFFNN
% 784.96/102.27 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 784.96/102.27 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 784.96/102.27 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 784.96/102.27 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 784.96/102.27 # Preprocessing time : 0.018 s
% 784.96/102.27 # Presaturation interreduction done
% 784.96/102.27
% 784.96/102.27 # Proof found!
% 784.96/102.27 # SZS status Theorem
% 784.96/102.27 # SZS output start CNFRefutation
% See solution above
% 784.96/102.27 # Parsed axioms : 1258
% 784.96/102.27 # Removed by relevancy pruning/SinE : 0
% 784.96/102.27 # Initial clauses : 1647
% 784.96/102.27 # Removed in clause preprocessing : 70
% 784.96/102.27 # Initial clauses in saturation : 1577
% 784.96/102.27 # Processed clauses : 251785
% 784.96/102.27 # ...of these trivial : 5132
% 784.96/102.27 # ...subsumed : 227011
% 784.96/102.27 # ...remaining for further processing : 19642
% 784.96/102.27 # Other redundant clauses eliminated : 56474
% 784.96/102.27 # Clauses deleted for lack of memory : 156775
% 784.96/102.27 # Backward-subsumed : 685
% 784.96/102.27 # Backward-rewritten : 986
% 784.96/102.27 # Generated clauses : 4729545
% 784.96/102.27 # ...of the previous two non-redundant : 4279358
% 784.96/102.27 # ...aggressively subsumed : 0
% 784.96/102.27 # Contextual simplify-reflections : 143
% 784.96/102.27 # Paramodulations : 4672874
% 784.96/102.27 # Factorizations : 61
% 784.96/102.27 # NegExts : 0
% 784.96/102.27 # Equation resolutions : 56625
% 784.96/102.27 # Total rewrite steps : 6544250
% 784.96/102.27 # Propositional unsat checks : 0
% 784.96/102.27 # Propositional check models : 0
% 784.96/102.27 # Propositional check unsatisfiable : 0
% 784.96/102.27 # Propositional clauses : 0
% 784.96/102.27 # Propositional clauses after purity: 0
% 784.96/102.27 # Propositional unsat core size : 0
% 784.96/102.27 # Propositional preprocessing time : 0.000
% 784.96/102.27 # Propositional encoding time : 0.000
% 784.96/102.27 # Propositional solver time : 0.000
% 784.96/102.27 # Success case prop preproc time : 0.000
% 784.96/102.27 # Success case prop encoding time : 0.000
% 784.96/102.27 # Success case prop solver time : 0.000
% 784.96/102.27 # Current number of processed clauses : 16555
% 784.96/102.27 # Positive orientable unit clauses : 2993
% 784.96/102.27 # Positive unorientable unit clauses: 216
% 784.96/102.27 # Negative unit clauses : 2114
% 784.96/102.27 # Non-unit-clauses : 11232
% 784.96/102.27 # Current number of unprocessed clauses: 1728328
% 784.96/102.27 # ...number of literals in the above : 4417223
% 784.96/102.27 # Current number of archived formulas : 0
% 784.96/102.27 # Current number of archived clauses : 2951
% 784.96/102.27 # Clause-clause subsumption calls (NU) : 7286053
% 784.96/102.27 # Rec. Clause-clause subsumption calls : 4553584
% 784.96/102.27 # Non-unit clause-clause subsumptions : 53524
% 784.96/102.27 # Unit Clause-clause subsumption calls : 378513
% 784.96/102.27 # Rewrite failures with RHS unbound : 491
% 784.96/102.27 # BW rewrite match attempts : 257323
% 784.96/102.27 # BW rewrite match successes : 3768
% 784.96/102.27 # Condensation attempts : 0
% 784.96/102.27 # Condensation successes : 0
% 784.96/102.27 # Termbank termtop insertions : 111055524
% 784.96/102.27
% 784.96/102.27 # -------------------------------------------------
% 784.96/102.27 # User time : 95.492 s
% 784.96/102.27 # System time : 1.617 s
% 784.96/102.27 # Total time : 97.108 s
% 784.96/102.27 # Maximum resident set size: 8128 pages
% 784.96/102.27
% 784.96/102.27 # -------------------------------------------------
% 784.96/102.27 # User time : 480.846 s
% 784.96/102.27 # System time : 8.500 s
% 784.96/102.27 # Total time : 489.346 s
% 784.96/102.27 # Maximum resident set size: 3092 pages
% 784.96/102.27 % E---3.1 exiting
% 784.96/102.27 % E---3.1 exiting
%------------------------------------------------------------------------------