TSTP Solution File: SWW210+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW210+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 20:08:48 EDT 2023
% Result : Theorem 585.69s 76.01s
% Output : CNFRefutation 585.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 87 ( 3 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 81 ( 33 ~; 37 |; 3 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 57 ( 15 sgn; 14 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,hypothesis,
( ? [X81] :
! [X5] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X81,X5)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X5))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
=> ( ? [X82] :
! [X5] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X82,X5)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X5)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
=> v_thesis____ ) ),
file('/export/starexec/sandbox2/tmp/tmp.Y7hQ0VuFfr/E---3.1_4432.p',conj_0) ).
fof(fact_real__norm__def,axiom,
! [X30] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X30) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X30),
file('/export/starexec/sandbox2/tmp/tmp.Y7hQ0VuFfr/E---3.1_4432.p',fact_real__norm__def) ).
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/tmp/tmp.Y7hQ0VuFfr/E---3.1_4432.p',conj_1) ).
fof(fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096,axiom,
? [X4] :
! [X5] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X5)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X5))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
file('/export/starexec/sandbox2/tmp/tmp.Y7hQ0VuFfr/E---3.1_4432.p',fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096) ).
fof(fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096,axiom,
? [X4] :
! [X5] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X5)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X5)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
file('/export/starexec/sandbox2/tmp/tmp.Y7hQ0VuFfr/E---3.1_4432.p',fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096) ).
fof(fact_y,axiom,
! [X9] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9)
=> ? [X4] :
! [X5] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X5)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X5)))),v_y____)),X9) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Y7hQ0VuFfr/E---3.1_4432.p',fact_y) ).
fof(fact_e2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
file('/export/starexec/sandbox2/tmp/tmp.Y7hQ0VuFfr/E---3.1_4432.p',fact_e2) ).
fof(c_0_7,hypothesis,
! [X83,X85] :
( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X85,esk2_1(X85))
| v_thesis____
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X83,esk1_1(X83)) )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X85))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| v_thesis____
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X83,esk1_1(X83)) )
& ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X85,esk2_1(X85))
| v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X83)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X85))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X83)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])])]) ).
fof(c_0_8,plain,
! [X913] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X913) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X913),
inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).
fof(c_0_9,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
fof(c_0_10,plain,
! [X605] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk9_0,X605)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X605))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096])])]) ).
fof(c_0_11,plain,
! [X460] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk3_0,X460)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X460)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096])])]) ).
cnf(c_0_12,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))
| v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk9_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,hypothesis,
( v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk3_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk9_0,X1) ),
inference(rw,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_20,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))
| v_thesis____
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,esk1_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_21,plain,
! [X461,X463] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X461)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_1(X461),X463)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X463)))),v_y____)),X461) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_y])])])]) ).
cnf(c_0_22,hypothesis,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13]),c_0_13]),c_0_14]) ).
cnf(c_0_23,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk3_0,X1) ),
inference(rw,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_24,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk9_0,esk1_1(X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,esk1_1(X2)) ),
inference(sr,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_26,hypothesis,
( v_thesis____
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,esk1_1(X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X2)))),v_y____)),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,hypothesis,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk3_0,esk2_1(X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,esk2_1(X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk1_1(X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X2))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_13]),c_0_14]) ).
cnf(c_0_31,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_1(X2),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
inference(rw,[status(thm)],[c_0_27,c_0_13]) ).
cnf(c_0_32,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(split_conjunct,[status(thm)],[fact_e2]) ).
cnf(c_0_33,hypothesis,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk3_0,esk2_1(X1))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk9_0,esk1_1(X2)) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_34,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1)),
inference(ef,[status(thm)],[c_0_29]) ).
cnf(c_0_35,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk1_1(X1))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_1(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),esk2_1(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_36,hypothesis,
~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk9_0,esk1_1(X1)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk1_1(X1)),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_38,hypothesis,
$false,
inference(spm,[status(thm)],[c_0_36,c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.24 % Problem : SWW210+1 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.25 % Command : run_E %s %d THM
% 0.25/0.47 % Computer : n002.cluster.edu
% 0.25/0.47 % Model : x86_64 x86_64
% 0.25/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.47 % Memory : 8042.1875MB
% 0.25/0.47 % OS : Linux 3.10.0-693.el7.x86_64
% 0.25/0.47 % CPULimit : 2400
% 0.25/0.47 % WCLimit : 300
% 0.25/0.47 % DateTime : Mon Oct 2 22:24:59 EDT 2023
% 0.25/0.47 % CPUTime :
% 0.33/0.72 Running first-order theorem proving
% 0.33/0.72 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.Y7hQ0VuFfr/E---3.1_4432.p
% 585.69/76.01 # Version: 3.1pre001
% 585.69/76.01 # Preprocessing class: FMLMSMSMSSSNFFN.
% 585.69/76.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 585.69/76.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 585.69/76.01 # Starting new_bool_3 with 300s (1) cores
% 585.69/76.01 # Starting new_bool_1 with 300s (1) cores
% 585.69/76.01 # Starting sh5l with 300s (1) cores
% 585.69/76.01 # new_bool_3 with pid 4516 completed with status 0
% 585.69/76.01 # Result found by new_bool_3
% 585.69/76.01 # Preprocessing class: FMLMSMSMSSSNFFN.
% 585.69/76.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 585.69/76.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 585.69/76.01 # Starting new_bool_3 with 300s (1) cores
% 585.69/76.01 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 585.69/76.01 # Search class: FGHSM-FSLM31-DFFFFFNN
% 585.69/76.01 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 585.69/76.01 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 585.69/76.01 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 4519 completed with status 0
% 585.69/76.01 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 585.69/76.01 # Preprocessing class: FMLMSMSMSSSNFFN.
% 585.69/76.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 585.69/76.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 585.69/76.01 # Starting new_bool_3 with 300s (1) cores
% 585.69/76.01 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 585.69/76.01 # Search class: FGHSM-FSLM31-DFFFFFNN
% 585.69/76.01 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 585.69/76.01 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 585.69/76.01 # Preprocessing time : 0.011 s
% 585.69/76.01 # Presaturation interreduction done
% 585.69/76.01
% 585.69/76.01 # Proof found!
% 585.69/76.01 # SZS status Theorem
% 585.69/76.01 # SZS output start CNFRefutation
% See solution above
% 585.69/76.01 # Parsed axioms : 1202
% 585.69/76.01 # Removed by relevancy pruning/SinE : 682
% 585.69/76.01 # Initial clauses : 689
% 585.69/76.01 # Removed in clause preprocessing : 17
% 585.69/76.01 # Initial clauses in saturation : 672
% 585.69/76.01 # Processed clauses : 191731
% 585.69/76.01 # ...of these trivial : 2195
% 585.69/76.01 # ...subsumed : 171896
% 585.69/76.01 # ...remaining for further processing : 17640
% 585.69/76.01 # Other redundant clauses eliminated : 16892
% 585.69/76.01 # Clauses deleted for lack of memory : 54857
% 585.69/76.01 # Backward-subsumed : 702
% 585.69/76.01 # Backward-rewritten : 292
% 585.69/76.01 # Generated clauses : 3435782
% 585.69/76.01 # ...of the previous two non-redundant : 3255266
% 585.69/76.01 # ...aggressively subsumed : 0
% 585.69/76.01 # Contextual simplify-reflections : 284
% 585.69/76.01 # Paramodulations : 3418792
% 585.69/76.01 # Factorizations : 24
% 585.69/76.01 # NegExts : 0
% 585.69/76.01 # Equation resolutions : 16969
% 585.69/76.01 # Total rewrite steps : 3141336
% 585.69/76.01 # Propositional unsat checks : 3
% 585.69/76.01 # Propositional check models : 0
% 585.69/76.01 # Propositional check unsatisfiable : 0
% 585.69/76.01 # Propositional clauses : 0
% 585.69/76.01 # Propositional clauses after purity: 0
% 585.69/76.01 # Propositional unsat core size : 0
% 585.69/76.01 # Propositional preprocessing time : 0.000
% 585.69/76.01 # Propositional encoding time : 5.957
% 585.69/76.01 # Propositional solver time : 3.061
% 585.69/76.01 # Success case prop preproc time : 0.000
% 585.69/76.01 # Success case prop encoding time : 0.000
% 585.69/76.01 # Success case prop solver time : 0.000
% 585.69/76.01 # Current number of processed clauses : 16062
% 585.69/76.01 # Positive orientable unit clauses : 1548
% 585.69/76.01 # Positive unorientable unit clauses: 218
% 585.69/76.01 # Negative unit clauses : 980
% 585.69/76.01 # Non-unit-clauses : 13316
% 585.69/76.01 # Current number of unprocessed clauses: 2079510
% 585.69/76.01 # ...number of literals in the above : 5832197
% 585.69/76.01 # Current number of archived formulas : 0
% 585.69/76.01 # Current number of archived clauses : 1528
% 585.69/76.01 # Clause-clause subsumption calls (NU) : 31097414
% 585.69/76.01 # Rec. Clause-clause subsumption calls : 18574569
% 585.69/76.01 # Non-unit clause-clause subsumptions : 82541
% 585.69/76.01 # Unit Clause-clause subsumption calls : 555876
% 585.69/76.01 # Rewrite failures with RHS unbound : 0
% 585.69/76.01 # BW rewrite match attempts : 73813
% 585.69/76.01 # BW rewrite match successes : 811
% 585.69/76.01 # Condensation attempts : 0
% 585.69/76.01 # Condensation successes : 0
% 585.69/76.01 # Termbank termtop insertions : 113380310
% 585.69/76.01
% 585.69/76.01 # -------------------------------------------------
% 585.69/76.01 # User time : 71.022 s
% 585.69/76.01 # System time : 1.582 s
% 585.69/76.01 # Total time : 72.604 s
% 585.69/76.01 # Maximum resident set size: 4728 pages
% 585.69/76.01
% 585.69/76.01 # -------------------------------------------------
% 585.69/76.01 # User time : 71.051 s
% 585.69/76.01 # System time : 1.584 s
% 585.69/76.01 # Total time : 72.634 s
% 585.69/76.01 # Maximum resident set size: 3024 pages
% 585.69/76.01 % E---3.1 exiting
% 585.69/76.01 % E---3.1 exiting
%------------------------------------------------------------------------------