TSTP Solution File: SWV680-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV680-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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 : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:47:44 EDT 2023
% Result : Unsatisfiable 1.62s 1.69s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 82
% Syntax : Number of formulae : 97 ( 11 unt; 73 typ; 0 def)
% Number of atoms : 41 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 83 ( 66 >; 17 *; 0 +; 0 <<)
% Number of predicates : 58 ( 56 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 34 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_23,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_24,type,
class_Int_Onumber: $i > $o ).
tff(decl_25,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(decl_26,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_29,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_32,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_34,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_35,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_37,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_39,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_40,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_41,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_42,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_43,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_44,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_45,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_46,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_47,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_48,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_49,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_50,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_51,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_52,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_53,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_54,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_55,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_56,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_57,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_58,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_59,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_60,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_61,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_62,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_63,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_64,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_65,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_66,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_67,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_68,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_69,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_70,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_71,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_72,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_73,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_74,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_76,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_77,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_78,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_79,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_80,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_81,type,
tc_nat: $i ).
tff(decl_82,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_83,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_84,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_85,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_86,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_87,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_88,type,
class_Power_Opower: $i > $o ).
tff(decl_89,type,
t_a: $i ).
tff(decl_90,type,
v_a: $i ).
tff(decl_91,type,
v_i: $i ).
tff(decl_92,type,
v_j: $i ).
tff(decl_93,type,
v_k: $i ).
tff(decl_94,type,
tc_Int_Oint: $i ).
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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',cls_nat__mult__commute_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/benchmark/theBenchmark.p',cls_class__semiring_Opwr__pwr_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/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_field__power__not__zero_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_field__power__not__zero_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_a != c_HOL_Ozero__class_Ozero(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors,axiom,
( class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors) ).
cnf(c_0_9,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_10,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_11,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_12,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
tfree_tcs ).
cnf(c_0_13,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_14,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_15,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_9,c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_16,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_13,c_0_14]) ).
cnf(c_0_17,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_15,c_0_16]),c_0_11]),c_0_12])]) ).
cnf(c_0_18,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_field__power__not__zero_0 ).
cnf(c_0_19,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_17,c_0_16]),c_0_12])]),c_0_11]) ).
cnf(c_0_20,negated_conjecture,
v_a != c_HOL_Ozero__class_Ozero(t_a),
cls_conjecture_0 ).
cnf(c_0_21,negated_conjecture,
~ class_Ring__and__Field_Oring__1__no__zero__divisors(t_a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_22,axiom,
( class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV680-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n013.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 : 300
% 0.14/0.35 % DateTime : Tue Aug 29 10:42:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 1.62/1.69 % Version : CSE_E---1.5
% 1.62/1.69 % Problem : theBenchmark.p
% 1.62/1.69 % Proof found
% 1.62/1.69 % SZS status Theorem for theBenchmark.p
% 1.62/1.69 % SZS output start Proof
% See solution above
% 1.62/1.70 % Total time : 1.069000 s
% 1.62/1.70 % SZS output end Proof
% 1.62/1.70 % Total time : 1.094000 s
%------------------------------------------------------------------------------