TSTP Solution File: SWV679-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV679-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 0.76s 0.81s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 67
% Syntax : Number of formulae : 79 ( 9 unt; 60 typ; 0 def)
% Number of atoms : 33 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 76 ( 55 >; 21 *; 0 +; 0 <<)
% Number of predicates : 45 ( 43 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_23,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_25,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_26,type,
tc_nat: $i ).
tff(decl_27,type,
class_OrderedGroup_Oab__semigroup__add: $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,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_31,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_32,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_33,type,
class_Power_Opower: $i > $o ).
tff(decl_34,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Suc: $i > $i ).
tff(decl_36,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_38,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_40,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_43,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_44,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_45,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_46,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_47,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_48,type,
c_GCD_Ogcd__class_Ogcd: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_50,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_51,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_52,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_53,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_55,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_56,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_57,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_58,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_59,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_60,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
class_SEQ_Obanach: $i > $o ).
tff(decl_62,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_63,type,
c_Transcendental_Oexp: ( $i * $i ) > $i ).
tff(decl_64,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_65,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_66,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_67,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_68,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_69,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_70,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_71,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_72,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_73,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_74,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_76,type,
t_a: $i ).
tff(decl_77,type,
v_a: $i ).
tff(decl_78,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_79,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_80,type,
v_n: $i ).
tff(decl_81,type,
v_m: $i ).
cnf(cls_conjecture_0,negated_conjecture,
( c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_False_0,axiom,
~ c_lessequals(v_n,v_m,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_False_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/sandbox/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_nz_0,axiom,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != c_HOL_Ozero__class_Ozero(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nz_0) ).
cnf(cls_power__diff__inverse_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ominus__class_Ominus(X3,X4,tc_nat),X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ c_lessequals(X4,X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__diff__inverse_0) ).
cnf(cls_nat__le__linear_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
cnf(c_0_7,negated_conjecture,
( c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
cls_conjecture_0 ).
cnf(c_0_8,axiom,
~ c_lessequals(v_n,v_m,tc_nat),
cls_False_0 ).
cnf(c_0_9,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,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_11,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
tfree_tcs ).
cnf(c_0_12,axiom,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != c_HOL_Ozero__class_Ozero(t_a) ),
cls_nz_0 ).
cnf(c_0_13,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ominus__class_Ominus(X3,X4,tc_nat),X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ c_lessequals(X4,X3,tc_nat) ),
cls_power__diff__inverse_0 ).
cnf(c_0_15,plain,
c_HOL_Ozero__class_Ozero(t_a) != v_a,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11])]) ).
cnf(c_0_16,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_nat),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_11])]),c_0_15]) ).
cnf(c_0_17,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_nat__le__linear_0 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV679-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 09:16:25 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.76/0.81 % Version : CSE_E---1.5
% 0.76/0.81 % Problem : theBenchmark.p
% 0.76/0.81 % Proof found
% 0.76/0.81 % SZS status Theorem for theBenchmark.p
% 0.76/0.81 % SZS output start Proof
% See solution above
% 0.76/0.81 % Total time : 0.209000 s
% 0.76/0.81 % SZS output end Proof
% 0.76/0.81 % Total time : 0.227000 s
%------------------------------------------------------------------------------