TSTP Solution File: SWV678-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV678-1 : 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 : 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 : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:47:43 EDT 2023
% Result : Unsatisfiable 0.60s 0.74s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 65
% Syntax : Number of formulae : 73 ( 7 unt; 60 typ; 0 def)
% Number of atoms : 23 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 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 : 8 ( 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,
v_n: $i ).
tff(decl_80,type,
v_m: $i ).
tff(decl_81,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
cnf(cls_conjecture_1,negated_conjecture,
( 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(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| ~ c_lessequals(v_n,v_m,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_True_0,axiom,
c_lessequals(v_n,v_m,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).
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(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_power__diff_0,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_nat),X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,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_0) ).
cnf(c_0_5,negated_conjecture,
( 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(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| ~ c_lessequals(v_n,v_m,tc_nat) ),
cls_conjecture_1 ).
cnf(c_0_6,axiom,
c_lessequals(v_n,v_m,tc_nat),
cls_True_0 ).
cnf(c_0_7,axiom,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != c_HOL_Ozero__class_Ozero(t_a) ),
cls_nz_0 ).
cnf(c_0_8,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
tfree_tcs ).
cnf(c_0_9,negated_conjecture,
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(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).
cnf(c_0_10,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_nat),X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ c_lessequals(X4,X3,tc_nat) ),
cls_power__diff_0 ).
cnf(c_0_11,plain,
c_HOL_Ozero__class_Ozero(t_a) != v_a,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8]),c_0_6])]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV678-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 08:08:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 0.60/0.74 % Version : CSE_E---1.5
% 0.60/0.74 % Problem : theBenchmark.p
% 0.60/0.74 % Proof found
% 0.60/0.74 % SZS status Theorem for theBenchmark.p
% 0.60/0.74 % SZS output start Proof
% See solution above
% 0.60/0.75 % Total time : 0.130000 s
% 0.60/0.75 % SZS output end Proof
% 0.60/0.75 % Total time : 0.148000 s
%------------------------------------------------------------------------------