TSTP Solution File: SWV866-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV866-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n026.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 21:35:34 EDT 2023
% Result : Unsatisfiable 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV866-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n026.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 10:00:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 % File :CSE---1.6
% 0.21/0.63 % Problem :theBenchmark
% 0.21/0.63 % Transform :cnf
% 0.21/0.63 % Format :tptp:raw
% 0.21/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.63
% 0.21/0.63 % Result :Theorem 0.000000s
% 0.21/0.63 % Output :CNFRefutation 0.000000s
% 0.21/0.63 %-------------------------------------------
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 % File : SWV866-1 : TPTP v8.1.2. Released v4.1.0.
% 0.21/0.64 % Domain : Software Verification
% 0.21/0.64 % Problem : Hoare logic with procedures 321_1
% 0.21/0.64 % Version : Especial.
% 0.21/0.64 % English : Completeness is taken relative to completeness of the underlying
% 0.21/0.64 % logic. Two versions of completeness proof: nested single recursion
% 0.21/0.64 % and simultaneous recursion in call rule.
% 0.21/0.64
% 0.21/0.64 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.21/0.64 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.21/0.64 % Source : [Nip10]
% 0.21/0.64 % Names : Hoare-321_1 [Nip10]
% 0.21/0.64
% 0.21/0.64 % Status : Unsatisfiable
% 0.21/0.64 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.2.0, 0.00 v5.1.0, 0.06 v5.0.0, 0.07 v4.1.0
% 0.21/0.64 % Syntax : Number of clauses : 26 ( 7 unt; 1 nHn; 22 RR)
% 0.21/0.64 % Number of literals : 48 ( 14 equ; 27 neg)
% 0.21/0.64 % Maximal clause size : 3 ( 1 avg)
% 0.21/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.64 % Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% 0.21/0.64 % Number of functors : 14 ( 14 usr; 8 con; 0-5 aty)
% 0.21/0.64 % Number of variables : 72 ( 16 sgn)
% 0.21/0.64 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.64
% 0.21/0.64 % Comments :
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 cnf(cls_evaln__elim__cases_I1_J_0,axiom,
% 0.21/0.64 ( V_t = V_s
% 0.21/0.64 | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evalc__elim__cases_I4_J_1,axiom,
% 0.21/0.64 ( c_Natural_Oevalc(V_c2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(V_c1,V_c2,V_s,V_t),V_t)
% 0.21/0.64 | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evalc__elim__cases_I4_J_0,axiom,
% 0.21/0.64 ( c_Natural_Oevalc(V_c1,V_s,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(V_c1,V_c2,V_s,V_t))
% 0.21/0.64 | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evaln_OSemi_0,axiom,
% 0.21/0.64 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2)
% 0.21/0.64 | ~ c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 0.21/0.64 | ~ c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_eval__eq_0,axiom,
% 0.21/0.64 ( c_Natural_Oevaln(V_c,V_s,c_Natural_Osko__Natural__Xeval__eq__1__1(V_c,V_s,V_t),V_t)
% 0.21/0.64 | ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_com_Osimps_I3_J_1,axiom,
% 0.21/0.64 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 0.21/0.64 | V_com2 = V_com2_H ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_com_Osimps_I3_J_0,axiom,
% 0.21/0.64 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 0.21/0.64 | V_com1 = V_com1_H ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evaln__elim__cases_I4_J_1,axiom,
% 0.21/0.64 ( c_Natural_Oevaln(V_c2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(V_c1,V_c2,V_n,V_s,V_t),V_n,V_t)
% 0.21/0.64 | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evaln__elim__cases_I4_J_0,axiom,
% 0.21/0.64 ( c_Natural_Oevaln(V_c1,V_s,V_n,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(V_c1,V_c2,V_n,V_s,V_t))
% 0.21/0.64 | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evaln_OSkip_0,axiom,
% 0.21/0.64 c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_com_Osimps_I13_J_0,axiom,
% 0.21/0.64 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evalc__evaln_0,axiom,
% 0.21/0.64 ( c_Natural_Oevaln(V_c,V_s,c_Natural_Osko__Natural__Xevalc__evaln__1__1(V_c,V_s,V_t),V_t)
% 0.21/0.64 | ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_com_Osimps_I12_J_0,axiom,
% 0.21/0.64 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_com__det_0,axiom,
% 0.21/0.64 ( V_u = V_t
% 0.21/0.64 | ~ c_Natural_Oevalc(V_c,V_s,V_u)
% 0.21/0.64 | ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evalc_OSkip_0,axiom,
% 0.21/0.64 c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_state__not__singleton__def__raw_0,axiom,
% 0.21/0.64 ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
% 0.21/0.64 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_state__not__singleton__def_1,axiom,
% 0.21/0.64 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 0.21/0.64 | V_x = V_xa ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_single__stateE_0,axiom,
% 0.21/0.64 ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t
% 0.21/0.64 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evalc_OSemi_0,axiom,
% 0.21/0.64 ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2)
% 0.21/0.64 | ~ c_Natural_Oevalc(V_c1,V_s1,V_s2)
% 0.21/0.64 | ~ c_Natural_Oevalc(V_c0,V_s0,V_s1) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_state__not__singleton__def_0,axiom,
% 0.21/0.64 ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
% 0.21/0.64 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evalc__elim__cases_I1_J_0,axiom,
% 0.21/0.64 ( V_t = V_s
% 0.21/0.64 | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_evaln__evalc_0,axiom,
% 0.21/0.64 ( c_Natural_Oevalc(V_c,V_s,V_t)
% 0.21/0.64 | ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_eval__eq_1,axiom,
% 0.21/0.64 ( c_Natural_Oevalc(V_c,V_s,V_t)
% 0.21/0.64 | ~ c_Natural_Oevaln(V_c,V_s,V_x,V_t) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_conjecture_0,negated_conjecture,
% 0.21/0.64 c_Hoare__Mirabelle_Ostate__not__singleton ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_conjecture_1,negated_conjecture,
% 0.21/0.64 V_Z_H = v_s_H ).
% 0.21/0.64
% 0.21/0.64 cnf(cls_conjecture_2,negated_conjecture,
% 0.21/0.64 ~ c_Natural_Oevalc(v_c,v_Z,V_x) ).
% 0.21/0.64
% 0.21/0.64 %------------------------------------------------------------------------------
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark
% 0.21/0.64 % SZS output start Proof
% 0.21/0.64 %ClaNum:55(EqnAxiom:29)
% 0.21/0.64 %VarNum:134(SingletonVarNum:64)
% 0.21/0.64 %MaxLitNum:3
% 0.21/0.64 %MaxfuncDepth:1
% 0.21/0.64 %SharedTerms:13
% 0.21/0.64 %goalClause: 30 31 36
% 0.21/0.64 %singleGoalClaCount:3
% 0.21/0.64 [30]P1(a500)
% 0.21/0.64 [31]E(x311,a1)
% 0.21/0.64 [32]P2(a2,x321,x321)
% 0.21/0.64 [36]~P2(a4,a5,x361)
% 0.21/0.64 [33]P3(a2,x331,x332,x331)
% 0.21/0.64 [35]~E(f3(x351,x352),a2)
% 0.21/0.64 [37]~E(a10,a14)+~P1(a500)
% 0.21/0.64 [38]~E(a11,a13)+~P1(a500)
% 0.21/0.64 [40]~E(f12(x401),x401)+~P1(a500)
% 0.21/0.64 [43]E(x431,x432)+~P2(a2,x432,x431)
% 0.21/0.64 [46]E(x461,x462)+~P3(a2,x462,x463,x461)
% 0.21/0.64 [47]~P2(x471,x472,x473)+P3(x471,x472,f6(x471,x472,x473),x473)
% 0.21/0.64 [48]~P2(x481,x482,x483)+P3(x481,x482,f7(x481,x482,x483),x483)
% 0.21/0.64 [50]P2(x501,x502,x503)+~P3(x501,x502,x504,x503)
% 0.21/0.64 [41]E(x411,x412)+~E(f3(x413,x411),f3(x414,x412))
% 0.21/0.64 [42]E(x421,x422)+~E(f3(x421,x423),f3(x422,x424))
% 0.21/0.64 [51]~P2(f3(x511,x513),x512,x514)+P2(x511,x512,f8(x511,x513,x512,x514))
% 0.21/0.64 [52]~P2(f3(x522,x521),x523,x524)+P2(x521,f8(x522,x521,x523,x524),x524)
% 0.21/0.64 [54]~P3(f3(x541,x544),x542,x543,x545)+P3(x541,x542,x543,f9(x541,x544,x543,x542,x545))
% 0.21/0.64 [55]~P3(f3(x552,x551),x554,x553,x555)+P3(x551,f9(x552,x551,x553,x554,x555),x553,x555)
% 0.21/0.64 [44]~P2(x443,x444,x441)+E(x441,x442)+~P2(x443,x444,x442)
% 0.21/0.64 [45]~P2(x451,x453,x455)+~P2(x452,x455,x454)+P2(f3(x451,x452),x453,x454)
% 0.21/0.64 [53]~P3(x531,x533,x534,x536)+~P3(x532,x536,x534,x535)+P3(f3(x531,x532),x533,x534,x535)
% 0.21/0.64 %EqnAxiom
% 0.21/0.64 [1]E(x11,x11)
% 0.21/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.64 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.21/0.64 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.21/0.64 [6]~E(x61,x62)+E(f9(x61,x63,x64,x65,x66),f9(x62,x63,x64,x65,x66))
% 0.21/0.64 [7]~E(x71,x72)+E(f9(x73,x71,x74,x75,x76),f9(x73,x72,x74,x75,x76))
% 0.21/0.64 [8]~E(x81,x82)+E(f9(x83,x84,x81,x85,x86),f9(x83,x84,x82,x85,x86))
% 0.21/0.64 [9]~E(x91,x92)+E(f9(x93,x94,x95,x91,x96),f9(x93,x94,x95,x92,x96))
% 0.21/0.64 [10]~E(x101,x102)+E(f9(x103,x104,x105,x106,x101),f9(x103,x104,x105,x106,x102))
% 0.21/0.64 [11]~E(x111,x112)+E(f12(x111),f12(x112))
% 0.21/0.64 [12]~E(x121,x122)+E(f6(x121,x123,x124),f6(x122,x123,x124))
% 0.21/0.64 [13]~E(x131,x132)+E(f6(x133,x131,x134),f6(x133,x132,x134))
% 0.21/0.64 [14]~E(x141,x142)+E(f6(x143,x144,x141),f6(x143,x144,x142))
% 0.21/0.64 [15]~E(x151,x152)+E(f8(x151,x153,x154,x155),f8(x152,x153,x154,x155))
% 0.21/0.64 [16]~E(x161,x162)+E(f8(x163,x161,x164,x165),f8(x163,x162,x164,x165))
% 0.21/0.64 [17]~E(x171,x172)+E(f8(x173,x174,x171,x175),f8(x173,x174,x172,x175))
% 0.21/0.64 [18]~E(x181,x182)+E(f8(x183,x184,x185,x181),f8(x183,x184,x185,x182))
% 0.21/0.64 [19]~E(x191,x192)+E(f7(x191,x193,x194),f7(x192,x193,x194))
% 0.21/0.64 [20]~E(x201,x202)+E(f7(x203,x201,x204),f7(x203,x202,x204))
% 0.21/0.64 [21]~E(x211,x212)+E(f7(x213,x214,x211),f7(x213,x214,x212))
% 0.21/0.64 [22]~P1(x221)+P1(x222)+~E(x221,x222)
% 0.21/0.64 [23]P2(x232,x233,x234)+~E(x231,x232)+~P2(x231,x233,x234)
% 0.21/0.64 [24]P2(x243,x242,x244)+~E(x241,x242)+~P2(x243,x241,x244)
% 0.21/0.64 [25]P2(x253,x254,x252)+~E(x251,x252)+~P2(x253,x254,x251)
% 0.21/0.64 [26]P3(x262,x263,x264,x265)+~E(x261,x262)+~P3(x261,x263,x264,x265)
% 0.21/0.64 [27]P3(x273,x272,x274,x275)+~E(x271,x272)+~P3(x273,x271,x274,x275)
% 0.21/0.64 [28]P3(x283,x284,x282,x285)+~E(x281,x282)+~P3(x283,x284,x281,x285)
% 0.21/0.64 [29]P3(x293,x294,x295,x292)+~E(x291,x292)+~P3(x293,x294,x295,x291)
% 0.21/0.64
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 cnf(56,plain,
% 0.21/0.64 ($false),
% 0.21/0.64 inference(scs_inference,[],[31,30,40]),
% 0.21/0.64 ['proof']).
% 0.21/0.64 % SZS output end Proof
% 0.21/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------