TSTP Solution File: SWV388+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 21:33:25 EDT 2023
% Result : Theorem 0.57s 0.63s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n023.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 04:11:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.57/0.62 %-------------------------------------------
% 0.57/0.62 % File :CSE---1.6
% 0.57/0.62 % Problem :theBenchmark
% 0.57/0.62 % Transform :cnf
% 0.57/0.62 % Format :tptp:raw
% 0.57/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.62
% 0.57/0.62 % Result :Theorem 0.000000s
% 0.57/0.62 % Output :CNFRefutation 0.000000s
% 0.57/0.62 %-------------------------------------------
% 0.57/0.63 %------------------------------------------------------------------------------
% 0.57/0.63 % File : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.57/0.63 % Domain : Software Verification
% 0.57/0.63 % Problem : Priority queue checker: lemma_not_min_elem_not_check_ind_steps 3
% 0.57/0.63 % Version : [dNP05] axioms.
% 0.57/0.63 % English :
% 0.57/0.63
% 0.57/0.63 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.57/0.63 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.57/0.63 % Source : [Pis06]
% 0.57/0.63 % Names : cpq_l024 [Pis06]
% 0.57/0.63
% 0.57/0.63 % Status : Theorem
% 0.57/0.63 % Rating : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.17 v4.0.0, 0.21 v3.7.0, 0.30 v3.5.0, 0.47 v3.4.0, 0.21 v3.3.0
% 0.57/0.63 % Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% 0.57/0.63 % Number of atoms : 87 ( 29 equ)
% 0.57/0.63 % Maximal formula atoms : 4 ( 2 avg)
% 0.57/0.63 % Number of connectives : 62 ( 18 ~; 4 |; 12 &)
% 0.57/0.63 % ( 7 <=>; 21 =>; 0 <=; 0 <~>)
% 0.57/0.63 % Maximal formula depth : 9 ( 5 avg)
% 0.57/0.63 % Maximal term depth : 4 ( 1 avg)
% 0.57/0.63 % Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% 0.57/0.63 % Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% 0.57/0.63 % Number of variables : 123 ( 123 !; 0 ?)
% 0.57/0.63 % SPC : FOF_THM_RFO_SEQ
% 0.57/0.63
% 0.57/0.63 % Comments :
% 0.57/0.63 %------------------------------------------------------------------------------
% 0.57/0.63 %----Include the axioms about priority queues and checked priority queues
% 0.57/0.63 include('Axioms/SWV007+0.ax').
% 0.57/0.63 include('Axioms/SWV007+2.ax').
% 0.57/0.63 include('Axioms/SWV007+3.ax').
% 0.57/0.63 %------------------------------------------------------------------------------
% 0.57/0.63 %----goal: fof(l21_li2225, lemma, (! [U,V,W] : (~(check_cpq(triple(U,V,W))) =>
% 0.57/0.63 %---- (~(check_cpq(im_succ_cpq(triple(U,V,W)))) |
% 0.57/0.63 %---- ~(ok(im_succ_cpq(triple(U,V,W)))))))).
% 0.57/0.63
% 0.57/0.63 %----tmp_not_check_03 (cpq_l034.p)
% 0.57/0.63 fof(l24_l34,lemma,
% 0.57/0.63 ! [U,V,W] :
% 0.57/0.63 ( ~ check_cpq(triple(U,V,W))
% 0.57/0.63 => ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ) ).
% 0.57/0.63
% 0.57/0.63 %----step3: findmin (conjecture)
% 0.57/0.63 fof(l24_co,conjecture,
% 0.57/0.63 ! [U,V,W] :
% 0.57/0.63 ( ~ check_cpq(triple(U,V,W))
% 0.57/0.63 => ( ~ check_cpq(findmin_cpq_eff(triple(U,V,W)))
% 0.57/0.63 | ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ) ).
% 0.57/0.63
% 0.57/0.63 %------------------------------------------------------------------------------
% 0.57/0.63 %-------------------------------------------
% 0.57/0.63 % Proof found
% 0.57/0.63 % SZS status Theorem for theBenchmark
% 0.57/0.63 % SZS output start Proof
% 0.57/0.63 %ClaNum:95(EqnAxiom:43)
% 0.57/0.63 %VarNum:305(SingletonVarNum:150)
% 0.57/0.63 %MaxLitNum:4
% 0.57/0.63 %MaxfuncDepth:3
% 0.57/0.63 %SharedTerms:12
% 0.57/0.63 %goalClause: 54 55 60
% 0.57/0.63 %singleGoalClaCount:3
% 0.57/0.63 [57]~P2(a1)
% 0.57/0.63 [60]~P3(f19(a9,a10,a11))
% 0.57/0.63 [54]P3(f8(f19(a9,a10,a11)))
% 0.57/0.63 [55]P7(f8(f19(a9,a10,a11)))
% 0.57/0.63 [45]P1(a2,x451)
% 0.57/0.63 [46]P1(x461,x461)
% 0.57/0.63 [47]P6(x471,x471)
% 0.57/0.63 [58]~P4(a1,x581)
% 0.57/0.63 [44]E(f4(a1,x441),a1)
% 0.57/0.63 [59]~P8(a1,x591,x592)
% 0.57/0.63 [52]P3(f19(x521,a1,x522))
% 0.57/0.63 [61]~P7(f19(x611,x612,a3))
% 0.57/0.63 [51]E(f7(f19(x511,a1,x512)),a2)
% 0.57/0.63 [53]E(f8(f19(x531,a1,x532)),f19(x531,a1,a3))
% 0.57/0.63 [48]P2(f6(x481,f5(x482,x483)))
% 0.57/0.63 [49]E(f16(f6(x491,f5(x492,x493)),x492),x491)
% 0.57/0.63 [50]E(f15(f6(x501,f5(x502,x503)),x502),x503)
% 0.57/0.63 [56]E(f19(f12(x561,x562),f6(x563,f5(x562,a2)),x564),f13(f19(x561,x563,x564),x562))
% 0.57/0.63 [62]P1(x622,x621)+P1(x621,x622)
% 0.57/0.63 [63]~P9(x631,x632)+P1(x631,x632)
% 0.57/0.63 [65]~P9(x652,x651)+~P1(x651,x652)
% 0.57/0.63 [64]~P6(x641,x642)+P6(x641,f8(x642))
% 0.57/0.63 [70]~P6(x701,x702)+P6(x701,f17(f8(x702),f7(x702)))
% 0.57/0.63 [68]~P6(x681,x682)+P6(x681,f13(x682,x683))
% 0.57/0.63 [69]~P6(x691,x692)+P6(x691,f17(x692,x693))
% 0.57/0.63 [72]E(x721,a3)+P7(f19(x722,x723,x721))
% 0.57/0.63 [74]E(x741,a1)+E(f7(f19(x742,x741,x743)),f14(x742))
% 0.57/0.63 [93]P3(f19(x931,x932,x933))+~P3(f8(f19(x931,x932,x933)))
% 0.57/0.63 [77]~P4(x772,x774)+P5(f19(x771,x772,x773),x774)
% 0.57/0.63 [83]P4(x831,x832)+~P5(f19(x833,x831,x834),x832)
% 0.57/0.63 [71]~E(x712,x714)+P4(f6(x711,f5(x712,x713)),x714)
% 0.57/0.63 [73]~P4(x731,x734)+P4(f6(x731,f5(x732,x733)),x734)
% 0.57/0.63 [82]P4(x822,x824)+E(f17(f19(x821,x822,x823),x824),f19(x821,x822,a3))
% 0.57/0.63 [79]~P1(x792,x794)+E(f6(f4(x791,x792),f5(x793,x794)),f4(f6(x791,f5(x793,x794)),x792))
% 0.57/0.63 [80]~P9(x803,x804)+E(f4(f6(x801,f5(x802,x803)),x804),f6(f4(x801,x804),f5(x802,x804)))
% 0.57/0.63 [84]~P8(x841,x844,x845)+P8(f6(x841,f5(x842,x843)),x844,x845)
% 0.57/0.63 [92]~P9(x921,x922)+~P3(f19(x923,f6(x924,f5(x921,x922)),x925))
% 0.57/0.63 [66]P9(x662,x661)+~P1(x662,x661)+P1(x661,x662)
% 0.57/0.63 [67]~P1(x671,x673)+P1(x671,x672)+~P1(x673,x672)
% 0.57/0.63 [85]P4(x851,f14(x852))+E(x851,a1)+E(f8(f19(x852,x851,x853)),f19(x852,f4(x851,f14(x852)),a3))
% 0.57/0.63 [78]E(x781,x782)+P4(x783,x782)+~P4(f6(x783,f5(x781,x784)),x782)
% 0.57/0.63 [88]~P4(x882,x884)+~P9(x884,f15(x882,x884))+E(f17(f19(x881,x882,x883),x884),f19(f18(x881,x884),f16(x882,x884),a3))
% 0.57/0.63 [89]~P4(x893,x892)+~P1(f15(x893,x892),x892)+E(f19(f18(x891,x892),f16(x893,x892),x894),f17(f19(x891,x893,x894),x892))
% 0.57/0.63 [75]~P4(x753,x752)+E(x751,x752)+E(f15(f6(x753,f5(x751,x754)),x752),f15(x753,x752))
% 0.57/0.63 [81]~P4(x813,x812)+E(x811,x812)+E(f16(f6(x813,f5(x811,x814)),x812),f6(f16(x813,x812),f5(x811,x814)))
% 0.57/0.63 [76]~E(x763,x765)+~E(x762,x764)+P8(f6(x761,f5(x762,x763)),x764,x765)
% 0.57/0.63 [86]E(x861,x862)+P8(x863,x864,x862)+~P8(f6(x863,f5(x865,x861)),x864,x862)
% 0.57/0.63 [87]E(x871,x872)+P8(x873,x872,x874)+~P8(f6(x873,f5(x871,x875)),x872,x874)
% 0.57/0.63 [94]~P1(x944,x943)+~P3(f19(x941,x942,x945))+P3(f19(x941,f6(x942,f5(x943,x944)),x945))
% 0.57/0.63 [95]~P1(x954,x955)+P3(f19(x951,x952,x953))+~P3(f19(x951,f6(x952,f5(x955,x954)),x953))
% 0.57/0.63 [90]~P4(x901,f14(x902))+E(x901,a1)+~P9(f14(x902),f15(x901,f14(x902)))+E(f8(f19(x902,x901,x903)),f19(x902,f4(x901,f14(x902)),a3))
% 0.57/0.63 [91]~P4(x911,f14(x912))+E(x911,a1)+~P1(f15(x911,f14(x912)),f14(x912))+E(f19(x912,f4(x911,f14(x912)),x913),f8(f19(x912,x911,x913)))
% 0.57/0.63 %EqnAxiom
% 0.57/0.63 [1]E(x11,x11)
% 0.57/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.63 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.57/0.63 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.57/0.63 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.57/0.63 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.57/0.63 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 0.57/0.63 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 0.57/0.63 [10]~E(x101,x102)+E(f8(x101),f8(x102))
% 0.57/0.63 [11]~E(x111,x112)+E(f19(x111,x113,x114),f19(x112,x113,x114))
% 0.57/0.63 [12]~E(x121,x122)+E(f19(x123,x121,x124),f19(x123,x122,x124))
% 0.57/0.63 [13]~E(x131,x132)+E(f19(x133,x134,x131),f19(x133,x134,x132))
% 0.57/0.63 [14]~E(x141,x142)+E(f16(x141,x143),f16(x142,x143))
% 0.57/0.63 [15]~E(x151,x152)+E(f16(x153,x151),f16(x153,x152))
% 0.57/0.63 [16]~E(x161,x162)+E(f14(x161),f14(x162))
% 0.57/0.63 [17]~E(x171,x172)+E(f17(x171,x173),f17(x172,x173))
% 0.57/0.63 [18]~E(x181,x182)+E(f17(x183,x181),f17(x183,x182))
% 0.57/0.63 [19]~E(x191,x192)+E(f15(x191,x193),f15(x192,x193))
% 0.57/0.63 [20]~E(x201,x202)+E(f15(x203,x201),f15(x203,x202))
% 0.57/0.63 [21]~E(x211,x212)+E(f18(x211,x213),f18(x212,x213))
% 0.57/0.63 [22]~E(x221,x222)+E(f18(x223,x221),f18(x223,x222))
% 0.57/0.63 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 0.57/0.63 [24]~E(x241,x242)+E(f13(x241,x243),f13(x242,x243))
% 0.57/0.63 [25]~E(x251,x252)+E(f13(x253,x251),f13(x253,x252))
% 0.57/0.63 [26]~E(x261,x262)+E(f12(x261,x263),f12(x262,x263))
% 0.57/0.63 [27]~E(x271,x272)+E(f12(x273,x271),f12(x273,x272))
% 0.61/0.63 [28]P1(x282,x283)+~E(x281,x282)+~P1(x281,x283)
% 0.61/0.63 [29]P1(x293,x292)+~E(x291,x292)+~P1(x293,x291)
% 0.61/0.63 [30]~P3(x301)+P3(x302)+~E(x301,x302)
% 0.61/0.63 [31]P6(x312,x313)+~E(x311,x312)+~P6(x311,x313)
% 0.61/0.63 [32]P6(x323,x322)+~E(x321,x322)+~P6(x323,x321)
% 0.61/0.63 [33]~P2(x331)+P2(x332)+~E(x331,x332)
% 0.61/0.63 [34]P4(x342,x343)+~E(x341,x342)+~P4(x341,x343)
% 0.61/0.63 [35]P4(x353,x352)+~E(x351,x352)+~P4(x353,x351)
% 0.61/0.63 [36]P9(x362,x363)+~E(x361,x362)+~P9(x361,x363)
% 0.61/0.63 [37]P9(x373,x372)+~E(x371,x372)+~P9(x373,x371)
% 0.61/0.63 [38]~P7(x381)+P7(x382)+~E(x381,x382)
% 0.61/0.63 [39]P5(x392,x393)+~E(x391,x392)+~P5(x391,x393)
% 0.61/0.63 [40]P5(x403,x402)+~E(x401,x402)+~P5(x403,x401)
% 0.61/0.63 [41]P8(x412,x413,x414)+~E(x411,x412)+~P8(x411,x413,x414)
% 0.61/0.63 [42]P8(x423,x422,x424)+~E(x421,x422)+~P8(x423,x421,x424)
% 0.61/0.63 [43]P8(x433,x434,x432)+~E(x431,x432)+~P8(x433,x434,x431)
% 0.61/0.63
% 0.61/0.63 %-------------------------------------------
% 0.61/0.63 cnf(96,plain,
% 0.61/0.64 ($false),
% 0.61/0.64 inference(scs_inference,[],[60,54,93]),
% 0.61/0.64 ['proof']).
% 0.61/0.64 % SZS output end Proof
% 0.61/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------