TSTP Solution File: SWV824-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV824-1 : 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 : n024.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 21:48:17 EDT 2023
% Result : Unsatisfiable 0.65s 0.77s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 72
% Syntax : Number of formulae : 80 ( 7 unt; 67 typ; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 59 >; 33 *; 0 +; 0 <<)
% Number of predicates : 47 ( 46 usr; 1 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-6 aty)
% Number of variables : 18 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Suc: $i > $i ).
tff(decl_23,type,
tc_nat: $i ).
tff(decl_24,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_27,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_28,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_31,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_33,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_34,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_36,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_37,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_38,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_39,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_40,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_41,type,
c_Orderings_Oord__class_Omax: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Orderings_Oord__class_Omin: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_44,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_45,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_46,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_47,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_48,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(decl_49,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_50,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_51,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_52,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_53,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_54,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_55,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_56,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_57,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_58,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_59,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_60,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_61,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_63,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_64,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_65,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_66,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_67,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_68,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_69,type,
class_Ring__and__Field_Omult__mono1: $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_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_73,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_74,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_75,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(decl_76,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_77,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_78,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(decl_79,type,
v_x: $i ).
tff(decl_80,type,
t_a: $i ).
tff(decl_81,type,
c_Natural_Osko__Natural__Xevaln__max2__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
v_xa: $i ).
tff(decl_84,type,
v_fun1: ( $i * $i ) > $o ).
tff(decl_85,type,
v_com: $i ).
tff(decl_86,type,
v_n: $i ).
tff(decl_87,type,
v_xb: $i ).
tff(decl_88,type,
v_fun2: ( $i * $i ) > $o ).
cnf(cls_conjecture_3,negated_conjecture,
( v_fun2(X1,X2)
| ~ c_Natural_Oevaln(v_com,X3,c_Suc(v_n),X2)
| ~ v_fun1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_evaln__Suc_0,axiom,
( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ v_fun2(v_x,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_0,negated_conjecture,
v_fun1(v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_5,negated_conjecture,
( v_fun2(X1,X2)
| ~ c_Natural_Oevaln(v_com,X3,c_Suc(v_n),X2)
| ~ v_fun1(X1,X3) ),
cls_conjecture_3 ).
cnf(c_0_6,axiom,
( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
cls_evaln__Suc_0 ).
cnf(c_0_7,negated_conjecture,
( v_fun2(X1,X2)
| ~ v_fun1(X1,X3)
| ~ c_Natural_Oevaln(v_com,X3,v_n,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
cls_conjecture_1 ).
cnf(c_0_9,negated_conjecture,
~ v_fun2(v_x,v_xb),
cls_conjecture_2 ).
cnf(c_0_10,negated_conjecture,
( v_fun2(X1,v_xb)
| ~ v_fun1(X1,v_xa) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
v_fun1(v_x,v_xa),
cls_conjecture_0 ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV824-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 05:32:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.52 start to proof: theBenchmark
% 0.65/0.77 % Version : CSE_E---1.5
% 0.65/0.77 % Problem : theBenchmark.p
% 0.65/0.77 % Proof found
% 0.65/0.77 % SZS status Theorem for theBenchmark.p
% 0.65/0.77 % SZS output start Proof
% See solution above
% 0.65/0.77 % Total time : 0.222000 s
% 0.65/0.77 % SZS output end Proof
% 0.65/0.77 % Total time : 0.241000 s
%------------------------------------------------------------------------------