TSTP Solution File: SWV680-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV680-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:55:06 EDT 2023
% Result : Unsatisfiable 12.33s 2.24s
% Output : CNFRefutation 12.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of clauses : 72 ( 24 unt; 16 nHn; 19 RR)
% Number of literals : 129 ( 81 equ; 47 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 125 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_class__semiring_Omul__c_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_class__semiring_Omul__c_0) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_k,v_i,tc_nat),t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_j,t_a),c_Power_Opower__class_Opower(v_a,v_k,t_a),t_a),v_i,t_a),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_conjecture_1) ).
cnf(cls_nonzero__power__divide_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_nonzero__power__divide_0) ).
cnf(cls_nat__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_nat__mult__commute_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',tfree_tcs) ).
cnf(cls_class__semiring_Opwr__pwr_0,axiom,
( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1) = c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_class__semiring_Opwr__pwr_0) ).
cnf(cls_divide__inverse_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_divide__inverse_0) ).
cnf(cls_power__one_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_power__one_0) ).
cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Omonoid__mult,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',clsrel_Ring__and__Field_Ofield_OrderedGroup_Omonoid__mult) ).
cnf(cls_right__inverse__eq_1,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_right__inverse__eq_1) ).
cnf(cls_eq__divide__imp_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_eq__divide__imp_0) ).
cnf(cls_inverse__eq__divide_0,axiom,
( c_HOL_Oinverse__class_Oinverse(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_inverse__eq__divide_0) ).
cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = X2
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Odivision__ring(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_nonzero__inverse__inverse__eq_0) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring,axiom,
( class_Ring__and__Field_Odivision__ring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring) ).
cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_class__semiring_Osemiring__rules_I11_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_class__semiring_Osemiring__rules_I10_J_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_a != c_HOL_Ozero__class_Ozero(t_a),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_conjecture_0) ).
cnf(cls_class__semiring_Opwr__mul_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_class__semiring_Opwr__mul_0) ).
cnf(cls_divide__zero__left_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cLJeuHLZm7/E---3.1_11509.p',cls_divide__zero__left_0) ).
cnf(c_0_20,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__c_0 ).
cnf(c_0_21,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_22,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_k,v_i,tc_nat),t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_j,t_a),c_Power_Opower__class_Opower(v_a,v_k,t_a),t_a),v_i,t_a),
cls_conjecture_1 ).
cnf(c_0_23,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_nonzero__power__divide_0 ).
cnf(c_0_24,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),
cls_nat__mult__commute_0 ).
cnf(c_0_25,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
tfree_tcs ).
cnf(c_0_26,axiom,
( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1) = c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Opwr__pwr_0 ).
cnf(c_0_27,plain,
( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_divide__inverse_0 ).
cnf(c_0_29,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
cls_power__one_0 ).
cnf(c_0_30,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
clsrel_Ring__and__Field_Ofield_OrderedGroup_Omonoid__mult ).
cnf(c_0_31,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_right__inverse__eq_1 ).
cnf(c_0_32,negated_conjecture,
( c_Power_Opower__class_Opower(v_a,v_k,t_a) = c_HOL_Ozero__class_Ozero(t_a)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(v_a,v_j,t_a),v_i,t_a),c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(v_a,v_k,t_a),v_i,t_a),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_k,tc_nat),t_a),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_33,plain,
( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_21]) ).
cnf(c_0_34,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_eq__divide__imp_0 ).
cnf(c_0_35,negated_conjecture,
c_HOL_Otimes__class_Otimes(X1,X2,t_a) = c_HOL_Otimes__class_Otimes(X2,X1,t_a),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_36,negated_conjecture,
c_HOL_Oinverse__class_Odivide(X1,X2,t_a) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,t_a),t_a),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_37,axiom,
( c_HOL_Oinverse__class_Oinverse(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_inverse__eq__divide_0 ).
cnf(c_0_38,plain,
( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,negated_conjecture,
( c_HOL_Oinverse__class_Odivide(X1,X1,t_a) = c_HOL_Oone__class_Oone(t_a)
| X1 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_40,negated_conjecture,
( c_Power_Opower__class_Opower(v_a,v_k,t_a) = c_HOL_Ozero__class_Ozero(t_a)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(v_a,v_j,t_a),v_i,t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_k,tc_nat),t_a),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_k,tc_nat),t_a),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_24]),c_0_25])]) ).
cnf(c_0_41,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = X2
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Odivision__ring(X1) ),
cls_nonzero__inverse__inverse__eq_0 ).
cnf(c_0_42,axiom,
( class_Ring__and__Field_Odivision__ring(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring ).
cnf(c_0_43,negated_conjecture,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,t_a),X2,t_a) = X1
| X2 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(spm,[status(thm)],[c_0_34,c_0_25]) ).
cnf(c_0_44,negated_conjecture,
c_HOL_Oinverse__class_Odivide(X1,X2,t_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,t_a),X1,t_a),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_45,negated_conjecture,
c_HOL_Oinverse__class_Oinverse(X1,t_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X1,t_a),
inference(spm,[status(thm)],[c_0_37,c_0_25]) ).
cnf(c_0_46,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I11_J_0 ).
cnf(c_0_47,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I10_J_0 ).
cnf(c_0_48,negated_conjecture,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X1,t_a),X2,t_a) = c_HOL_Oinverse__class_Odivide(X1,X1,t_a)
| X1 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_25])]) ).
cnf(c_0_49,negated_conjecture,
c_Power_Opower__class_Opower(v_a,v_k,t_a) = c_HOL_Ozero__class_Ozero(t_a),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_33]),c_0_25])]),c_0_24]) ).
cnf(c_0_50,plain,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(X1,X2,t_a),t_a),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X1,t_a),X2,t_a),t_a) = c_Power_Opower__class_Opower(X3,X2,t_a)
| X1 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_43]),c_0_25])]),c_0_44]),c_0_45]) ).
cnf(c_0_52,negated_conjecture,
v_a != c_HOL_Ozero__class_Ozero(t_a),
cls_conjecture_0 ).
cnf(c_0_53,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_21]) ).
cnf(c_0_54,plain,
( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_21]) ).
cnf(c_0_55,negated_conjecture,
( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X1,t_a) = c_HOL_Oone__class_Oone(t_a)
| X2 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(spm,[status(thm)],[c_0_48,c_0_39]) ).
cnf(c_0_56,negated_conjecture,
c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_k,X1,tc_nat),t_a) = c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),X1,t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_49]),c_0_25])]) ).
cnf(c_0_57,axiom,
( c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Opwr__mul_0 ).
cnf(c_0_58,negated_conjecture,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,t_a),t_a) = X1
| X1 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(spm,[status(thm)],[c_0_50,c_0_25]) ).
cnf(c_0_59,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(t_a),t_a),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,v_a,t_a),v_k,t_a),t_a) = c_Power_Opower__class_Opower(X1,v_k,t_a),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_45]),c_0_52]) ).
cnf(c_0_60,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(t_a),X1,t_a) = X1,
inference(spm,[status(thm)],[c_0_53,c_0_25]) ).
cnf(c_0_61,negated_conjecture,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_HOL_Ozero__class_Ozero(t_a),
inference(spm,[status(thm)],[c_0_54,c_0_25]) ).
cnf(c_0_62,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X1,t_a) = c_HOL_Oone__class_Oone(t_a),
inference(spm,[status(thm)],[c_0_52,c_0_55]) ).
cnf(c_0_63,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_divide__zero__left_0 ).
cnf(c_0_64,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(t_a),t_a),c_Power_Opower__class_Opower(v_a,v_j,t_a),t_a),v_i,t_a) != c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),v_i,t_a),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),t_a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_49]),c_0_44]),c_0_56]),c_0_44]),c_0_45]) ).
cnf(c_0_65,plain,
( c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_21]) ).
cnf(c_0_66,negated_conjecture,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X1,t_a),t_a) = X1
| X1 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_45]),c_0_45]) ).
cnf(c_0_67,negated_conjecture,
c_HOL_Oone__class_Oone(t_a) = c_HOL_Ozero__class_Ozero(t_a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_49]),c_0_61]),c_0_62]) ).
cnf(c_0_68,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(t_a),X1,t_a) = c_HOL_Ozero__class_Ozero(t_a),
inference(spm,[status(thm)],[c_0_63,c_0_25]) ).
cnf(c_0_69,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(t_a),t_a),v_i,t_a),c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(v_a,v_j,t_a),v_i,t_a),t_a) != c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(t_a),v_i,t_a),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_25])]) ).
cnf(c_0_70,negated_conjecture,
c_HOL_Ozero__class_Ozero(t_a) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_67]),c_0_68]),c_0_68])]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.20 % Problem : SWV680-1 : TPTP v8.1.2. Released v4.1.0.
% 0.21/0.21 % Command : run_E %s %d THM
% 0.21/0.41 % Computer : n020.cluster.edu
% 0.21/0.41 % Model : x86_64 x86_64
% 0.21/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.41 % Memory : 8042.1875MB
% 0.21/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.41 % CPULimit : 2400
% 0.21/0.41 % WCLimit : 300
% 0.21/0.41 % DateTime : Tue Oct 3 04:37:46 EDT 2023
% 0.21/0.41 % CPUTime :
% 0.27/0.62 Running first-order theorem proving
% 0.27/0.62 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.cLJeuHLZm7/E---3.1_11509.p
% 12.33/2.24 # Version: 3.1pre001
% 12.33/2.24 # Preprocessing class: FSLSSMSSSSSNFFN.
% 12.33/2.24 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.33/2.24 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.33/2.24 # Starting new_bool_3 with 300s (1) cores
% 12.33/2.24 # Starting new_bool_1 with 300s (1) cores
% 12.33/2.24 # Starting sh5l with 300s (1) cores
% 12.33/2.24 # sh5l with pid 11596 completed with status 0
% 12.33/2.24 # Result found by sh5l
% 12.33/2.24 # Preprocessing class: FSLSSMSSSSSNFFN.
% 12.33/2.24 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.33/2.24 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.33/2.24 # Starting new_bool_3 with 300s (1) cores
% 12.33/2.24 # Starting new_bool_1 with 300s (1) cores
% 12.33/2.24 # Starting sh5l with 300s (1) cores
% 12.33/2.24 # SinE strategy is gf500_gu_R04_F100_L20000
% 12.33/2.24 # Search class: FGHSS-FSLM32-MFFFFFNN
% 12.33/2.24 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 12.33/2.24 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 12.33/2.24 # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 11604 completed with status 0
% 12.33/2.24 # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 12.33/2.24 # Preprocessing class: FSLSSMSSSSSNFFN.
% 12.33/2.24 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.33/2.24 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.33/2.24 # Starting new_bool_3 with 300s (1) cores
% 12.33/2.24 # Starting new_bool_1 with 300s (1) cores
% 12.33/2.24 # Starting sh5l with 300s (1) cores
% 12.33/2.24 # SinE strategy is gf500_gu_R04_F100_L20000
% 12.33/2.24 # Search class: FGHSS-FSLM32-MFFFFFNN
% 12.33/2.24 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 12.33/2.24 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 12.33/2.24 # Preprocessing time : 0.008 s
% 12.33/2.24 # Presaturation interreduction done
% 12.33/2.24
% 12.33/2.24 # Proof found!
% 12.33/2.24 # SZS status Unsatisfiable
% 12.33/2.24 # SZS output start CNFRefutation
% See solution above
% 12.33/2.24 # Parsed axioms : 731
% 12.33/2.24 # Removed by relevancy pruning/SinE : 118
% 12.33/2.24 # Initial clauses : 613
% 12.33/2.24 # Removed in clause preprocessing : 0
% 12.33/2.24 # Initial clauses in saturation : 613
% 12.33/2.24 # Processed clauses : 14887
% 12.33/2.24 # ...of these trivial : 131
% 12.33/2.24 # ...subsumed : 11322
% 12.33/2.24 # ...remaining for further processing : 3434
% 12.33/2.24 # Other redundant clauses eliminated : 241
% 12.33/2.24 # Clauses deleted for lack of memory : 0
% 12.33/2.24 # Backward-subsumed : 500
% 12.33/2.24 # Backward-rewritten : 734
% 12.33/2.24 # Generated clauses : 60736
% 12.33/2.24 # ...of the previous two non-redundant : 54249
% 12.33/2.24 # ...aggressively subsumed : 0
% 12.33/2.24 # Contextual simplify-reflections : 54
% 12.33/2.24 # Paramodulations : 60469
% 12.33/2.24 # Factorizations : 9
% 12.33/2.24 # NegExts : 0
% 12.33/2.24 # Equation resolutions : 258
% 12.33/2.24 # Total rewrite steps : 24694
% 12.33/2.24 # Propositional unsat checks : 0
% 12.33/2.24 # Propositional check models : 0
% 12.33/2.24 # Propositional check unsatisfiable : 0
% 12.33/2.24 # Propositional clauses : 0
% 12.33/2.24 # Propositional clauses after purity: 0
% 12.33/2.24 # Propositional unsat core size : 0
% 12.33/2.24 # Propositional preprocessing time : 0.000
% 12.33/2.24 # Propositional encoding time : 0.000
% 12.33/2.24 # Propositional solver time : 0.000
% 12.33/2.24 # Success case prop preproc time : 0.000
% 12.33/2.24 # Success case prop encoding time : 0.000
% 12.33/2.24 # Success case prop solver time : 0.000
% 12.33/2.24 # Current number of processed clauses : 1758
% 12.33/2.24 # Positive orientable unit clauses : 86
% 12.33/2.24 # Positive unorientable unit clauses: 8
% 12.33/2.24 # Negative unit clauses : 64
% 12.33/2.24 # Non-unit-clauses : 1600
% 12.33/2.24 # Current number of unprocessed clauses: 38863
% 12.33/2.24 # ...number of literals in the above : 153985
% 12.33/2.24 # Current number of archived formulas : 0
% 12.33/2.24 # Current number of archived clauses : 1676
% 12.33/2.24 # Clause-clause subsumption calls (NU) : 828820
% 12.33/2.24 # Rec. Clause-clause subsumption calls : 391199
% 12.33/2.24 # Non-unit clause-clause subsumptions : 8820
% 12.33/2.24 # Unit Clause-clause subsumption calls : 13141
% 12.33/2.24 # Rewrite failures with RHS unbound : 3
% 12.33/2.24 # BW rewrite match attempts : 3409
% 12.33/2.24 # BW rewrite match successes : 1066
% 12.33/2.24 # Condensation attempts : 0
% 12.33/2.24 # Condensation successes : 0
% 12.33/2.24 # Termbank termtop insertions : 1246166
% 12.33/2.24
% 12.33/2.24 # -------------------------------------------------
% 12.33/2.24 # User time : 1.416 s
% 12.33/2.24 # System time : 0.030 s
% 12.33/2.24 # Total time : 1.446 s
% 12.33/2.24 # Maximum resident set size: 3080 pages
% 12.33/2.24
% 12.33/2.24 # -------------------------------------------------
% 12.33/2.24 # User time : 1.428 s
% 12.33/2.24 # System time : 0.034 s
% 12.33/2.24 # Total time : 1.461 s
% 12.33/2.24 # Maximum resident set size: 2260 pages
% 12.33/2.24 % E---3.1 exiting
% 12.33/2.24 % E---3.1 exiting
%------------------------------------------------------------------------------