%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWV389+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : Mon Jun 24 16:47:04 EDT 2024
% Result : Theorem 0.49s 0.64s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV389+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 18:05:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.49/0.59 start to proof:theBenchmark
% 0.49/0.63 %-------------------------------------------
% 0.49/0.63 % File :CSE---1.7
% 0.49/0.63 % Problem :theBenchmark
% 0.49/0.63 % Transform :cnf
% 0.49/0.63 % Format :tptp:raw
% 0.49/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.49/0.63
% 0.49/0.63 % Result :Theorem 0.000000s
% 0.49/0.63 % Output :CNFRefutation 0.000000s
% 0.49/0.63 %-------------------------------------------
% 0.49/0.63 %------------------------------------------------------------------------------
% 0.49/0.63 % File : SWV389+1 : TPTP v8.2.0. Released v3.3.0.
% 0.49/0.63 % Domain : Software Verification
% 0.49/0.63 % Problem : Priority queue checker: lemma_not_min_elem_not_check_ind_steps 4
% 0.49/0.63 % Version : [dNP05] axioms.
% 0.49/0.63 % English :
% 0.49/0.63
% 0.49/0.63 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.49/0.63 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.49/0.63 % Source : [Pis06]
% 0.49/0.63 % Names : cpq_l025 [Pis06]
% 0.49/0.63
% 0.49/0.63 % Status : Theorem
% 0.49/0.63 % Rating : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.14 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
% 0.49/0.63 % Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% 0.49/0.63 % Number of atoms : 88 ( 29 equ)
% 0.49/0.63 % Maximal formula atoms : 4 ( 2 avg)
% 0.49/0.63 % Number of connectives : 61 ( 16 ~; 4 |; 13 &)
% 0.49/0.63 % ( 7 <=>; 21 =>; 0 <=; 0 <~>)
% 0.49/0.63 % Maximal formula depth : 9 ( 5 avg)
% 0.49/0.63 % Maximal term depth : 4 ( 1 avg)
% 0.49/0.63 % Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% 0.49/0.63 % Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% 0.49/0.63 % Number of variables : 123 ( 123 !; 0 ?)
% 0.49/0.63 % SPC : FOF_THM_RFO_SEQ
% 0.49/0.63
% 0.49/0.63 % Comments :
% 0.49/0.63 %------------------------------------------------------------------------------
% 0.49/0.63 %----Include the axioms about priority queues and checked priority queues
% 0.49/0.63 include('Axioms/SWV007+0.ax').
% 0.49/0.63 include('Axioms/SWV007+2.ax').
% 0.49/0.63 include('Axioms/SWV007+3.ax').
% 0.49/0.63 %------------------------------------------------------------------------------
% 0.49/0.63 %----goal: fof(l21_li2225, lemma, (! [U,V,W] : (~(check_cpq(triple(U,V,W))) =>
% 0.49/0.63 %---- (~(check_cpq(im_succ_cpq(triple(U,V,W)))) |
% 0.49/0.63 %---- ~(ok(im_succ_cpq(triple(U,V,W)))))))).
% 0.49/0.64
% 0.49/0.64 %----tmp_not_check_04 (cpq_l040.p)
% 0.49/0.64 fof(l25_l40,lemma,
% 0.49/0.64 ! [U,V,W] :
% 0.49/0.64 ( ( check_cpq(removemin_cpq_eff(triple(U,V,W)))
% 0.49/0.64 & ok(removemin_cpq_eff(triple(U,V,W))) )
% 0.49/0.64 => check_cpq(triple(U,V,W)) ) ).
% 0.49/0.64
% 0.49/0.64 %----step4: removemin (conjecture)
% 0.49/0.64 fof(l25_co,conjecture,
% 0.49/0.64 ! [U,V,W] :
% 0.49/0.64 ( ~ check_cpq(triple(U,V,W))
% 0.49/0.64 => ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))
% 0.49/0.64 | ~ ok(removemin_cpq_eff(triple(U,V,W))) ) ) ).
% 0.49/0.64
% 0.49/0.64 %------------------------------------------------------------------------------
% 0.49/0.64 %-------------------------------------------
% 0.49/0.64 % Proof found
% 0.49/0.64 % SZS status Theorem for theBenchmark
% 0.49/0.64 % SZS output start Proof
% 0.49/0.64 %ClaNum:95(EqnAxiom:43)
% 0.49/0.64 %VarNum:314(SingletonVarNum:150)
% 0.49/0.64 %MaxLitNum:4
% 0.49/0.64 %MaxfuncDepth:3
% 0.49/0.64 %SharedTerms:14
% 0.49/0.64 %goalClause: 55 56 60
% 0.49/0.64 %singleGoalClaCount:3
% 0.49/0.64 [57]~P2(a1)
% 0.49/0.64 [60]~P3(f19(a9,a10,a11))
% 0.49/0.64 [55]P3(f17(f8(f19(a9,a10,a11)),f7(f19(a9,a10,a11))))
% 0.49/0.64 [56]P7(f17(f8(f19(a9,a10,a11)),f7(f19(a9,a10,a11))))
% 0.49/0.64 [45]P1(a2,x451)
% 0.49/0.64 [46]P1(x461,x461)
% 0.49/0.64 [47]P6(x471,x471)
% 0.49/0.64 [58]~P4(a1,x581)
% 0.49/0.64 [44]E(f4(a1,x441),a1)
% 0.49/0.64 [59]~P8(a1,x591,x592)
% 0.49/0.64 [52]P3(f19(x521,a1,x522))
% 0.60/0.64 [61]~P7(f19(x611,x612,a3))
% 0.60/0.64 [51]E(f7(f19(x511,a1,x512)),a2)
% 0.60/0.64 [53]E(f8(f19(x531,a1,x532)),f19(x531,a1,a3))
% 0.60/0.64 [48]P2(f6(x481,f5(x482,x483)))
% 0.60/0.64 [49]E(f16(f6(x491,f5(x492,x493)),x492),x491)
% 0.60/0.64 [50]E(f15(f6(x501,f5(x502,x503)),x502),x503)
% 0.60/0.64 [54]E(f19(f12(x541,x542),f6(x543,f5(x542,a2)),x544),f13(f19(x541,x543,x544),x542))
% 0.60/0.64 [62]P1(x622,x621)+P1(x621,x622)
% 0.60/0.64 [63]~P9(x631,x632)+P1(x631,x632)
% 0.60/0.64 [65]~P9(x652,x651)+~P1(x651,x652)
% 0.60/0.64 [64]~P6(x641,x642)+P6(x641,f8(x642))
% 0.60/0.64 [70]~P6(x701,x702)+P6(x701,f17(f8(x702),f7(x702)))
% 0.60/0.64 [68]~P6(x681,x682)+P6(x681,f13(x682,x683))
% 0.60/0.64 [69]~P6(x691,x692)+P6(x691,f17(x692,x693))
% 0.60/0.64 [72]E(x721,a3)+P7(f19(x722,x723,x721))
% 0.60/0.64 [74]E(x741,a1)+E(f7(f19(x742,x741,x743)),f14(x742))
% 0.60/0.64 [77]~P4(x772,x774)+P5(f19(x771,x772,x773),x774)
% 0.60/0.64 [83]P4(x831,x832)+~P5(f19(x833,x831,x834),x832)
% 0.60/0.64 [71]~E(x712,x714)+P4(f6(x711,f5(x712,x713)),x714)
% 0.60/0.64 [73]~P4(x731,x734)+P4(f6(x731,f5(x732,x733)),x734)
% 0.60/0.64 [82]P4(x822,x824)+E(f17(f19(x821,x822,x823),x824),f19(x821,x822,a3))
% 0.60/0.64 [79]~P1(x792,x794)+E(f6(f4(x791,x792),f5(x793,x794)),f4(f6(x791,f5(x793,x794)),x792))
% 0.60/0.64 [80]~P9(x803,x804)+E(f4(f6(x801,f5(x802,x803)),x804),f6(f4(x801,x804),f5(x802,x804)))
% 0.60/0.64 [84]~P8(x841,x844,x845)+P8(f6(x841,f5(x842,x843)),x844,x845)
% 0.60/0.64 [92]~P9(x921,x922)+~P3(f19(x923,f6(x924,f5(x921,x922)),x925))
% 0.60/0.64 [66]P9(x662,x661)+~P1(x662,x661)+P1(x661,x662)
% 0.60/0.64 [67]~P1(x671,x673)+P1(x671,x672)+~P1(x673,x672)
% 0.60/0.64 [85]P4(x851,f14(x852))+E(x851,a1)+E(f8(f19(x852,x851,x853)),f19(x852,f4(x851,f14(x852)),a3))
% 0.60/0.64 [95]P3(f19(x951,x952,x953))+~P3(f17(f8(f19(x951,x952,x953)),f7(f19(x951,x952,x953))))+~P7(f17(f8(f19(x951,x952,x953)),f7(f19(x951,x952,x953))))
% 0.60/0.64 [78]E(x781,x782)+P4(x783,x782)+~P4(f6(x783,f5(x781,x784)),x782)
% 0.60/0.64 [88]~P4(x882,x884)+~P9(x884,f15(x882,x884))+E(f17(f19(x881,x882,x883),x884),f19(f18(x881,x884),f16(x882,x884),a3))
% 0.60/0.64 [89]~P4(x893,x892)+~P1(f15(x893,x892),x892)+E(f19(f18(x891,x892),f16(x893,x892),x894),f17(f19(x891,x893,x894),x892))
% 0.60/0.64 [75]~P4(x753,x752)+E(x751,x752)+E(f15(f6(x753,f5(x751,x754)),x752),f15(x753,x752))
% 0.60/0.64 [81]~P4(x813,x812)+E(x811,x812)+E(f16(f6(x813,f5(x811,x814)),x812),f6(f16(x813,x812),f5(x811,x814)))
% 0.60/0.64 [76]~E(x763,x765)+~E(x762,x764)+P8(f6(x761,f5(x762,x763)),x764,x765)
% 0.60/0.64 [86]E(x861,x862)+P8(x863,x864,x862)+~P8(f6(x863,f5(x865,x861)),x864,x862)
% 0.60/0.64 [87]E(x871,x872)+P8(x873,x872,x874)+~P8(f6(x873,f5(x871,x875)),x872,x874)
% 0.60/0.64 [93]~P1(x934,x933)+~P3(f19(x931,x932,x935))+P3(f19(x931,f6(x932,f5(x933,x934)),x935))
% 0.60/0.64 [94]~P1(x944,x945)+P3(f19(x941,x942,x943))+~P3(f19(x941,f6(x942,f5(x945,x944)),x943))
% 0.60/0.64 [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))
% 0.60/0.64 [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)))
% 0.60/0.64 %EqnAxiom
% 0.60/0.64 [1]E(x11,x11)
% 0.60/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.60/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.60/0.64 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.60/0.64 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.60/0.64 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.60/0.64 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.60/0.64 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 0.60/0.64 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 0.60/0.64 [10]~E(x101,x102)+E(f19(x101,x103,x104),f19(x102,x103,x104))
% 0.60/0.64 [11]~E(x111,x112)+E(f19(x113,x111,x114),f19(x113,x112,x114))
% 0.60/0.64 [12]~E(x121,x122)+E(f19(x123,x124,x121),f19(x123,x124,x122))
% 0.60/0.64 [13]~E(x131,x132)+E(f16(x131,x133),f16(x132,x133))
% 0.60/0.64 [14]~E(x141,x142)+E(f16(x143,x141),f16(x143,x142))
% 0.60/0.64 [15]~E(x151,x152)+E(f17(x151,x153),f17(x152,x153))
% 0.60/0.64 [16]~E(x161,x162)+E(f17(x163,x161),f17(x163,x162))
% 0.60/0.64 [17]~E(x171,x172)+E(f8(x171),f8(x172))
% 0.60/0.64 [18]~E(x181,x182)+E(f18(x181,x183),f18(x182,x183))
% 0.60/0.64 [19]~E(x191,x192)+E(f18(x193,x191),f18(x193,x192))
% 0.60/0.64 [20]~E(x201,x202)+E(f15(x201,x203),f15(x202,x203))
% 0.60/0.64 [21]~E(x211,x212)+E(f15(x213,x211),f15(x213,x212))
% 0.60/0.64 [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 0.60/0.64 [23]~E(x231,x232)+E(f14(x231),f14(x232))
% 0.60/0.64 [24]~E(x241,x242)+E(f13(x241,x243),f13(x242,x243))
% 0.60/0.64 [25]~E(x251,x252)+E(f13(x253,x251),f13(x253,x252))
% 0.60/0.64 [26]~E(x261,x262)+E(f12(x261,x263),f12(x262,x263))
% 0.60/0.64 [27]~E(x271,x272)+E(f12(x273,x271),f12(x273,x272))
% 0.60/0.64 [28]P1(x282,x283)+~E(x281,x282)+~P1(x281,x283)
% 0.60/0.64 [29]P1(x293,x292)+~E(x291,x292)+~P1(x293,x291)
% 0.60/0.64 [30]~P7(x301)+P7(x302)+~E(x301,x302)
% 0.60/0.64 [31]P6(x312,x313)+~E(x311,x312)+~P6(x311,x313)
% 0.60/0.64 [32]P6(x323,x322)+~E(x321,x322)+~P6(x323,x321)
% 0.60/0.64 [33]~P2(x331)+P2(x332)+~E(x331,x332)
% 0.60/0.64 [34]~P3(x341)+P3(x342)+~E(x341,x342)
% 0.60/0.64 [35]P4(x352,x353)+~E(x351,x352)+~P4(x351,x353)
% 0.60/0.64 [36]P4(x363,x362)+~E(x361,x362)+~P4(x363,x361)
% 0.60/0.64 [37]P8(x372,x373,x374)+~E(x371,x372)+~P8(x371,x373,x374)
% 0.60/0.64 [38]P8(x383,x382,x384)+~E(x381,x382)+~P8(x383,x381,x384)
% 0.60/0.64 [39]P8(x393,x394,x392)+~E(x391,x392)+~P8(x393,x394,x391)
% 0.60/0.64 [40]P5(x402,x403)+~E(x401,x402)+~P5(x401,x403)
% 0.60/0.64 [41]P5(x413,x412)+~E(x411,x412)+~P5(x413,x411)
% 0.60/0.64 [42]P9(x422,x423)+~E(x421,x422)+~P9(x421,x423)
% 0.60/0.64 [43]P9(x433,x432)+~E(x431,x432)+~P9(x433,x431)
% 0.60/0.64
% 0.60/0.64 %-------------------------------------------
% 0.60/0.64 cnf(97,plain,
% 0.60/0.64 ($false),
% 0.60/0.64 inference(scs_inference,[],[60,55,56,95]),
% 0.60/0.64 ['proof']).
% 0.60/0.64 % SZS output end Proof
% 0.60/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------