TSTP Solution File: SWV412+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 21:33:30 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n015.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
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Tue Aug 29 09:14:26 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 % File : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.62 % Domain : Software Verification
% 0.19/0.62 % Problem : Priority queue checker: lemma_contains_update_01
% 0.19/0.62 % Version : [dNP05] axioms.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.19/0.62 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.19/0.62 % Source : [Pis06]
% 0.19/0.62 % Names : cpq_l048 [Pis06]
% 0.19/0.62
% 0.19/0.62 % Status : Theorem
% 0.19/0.62 % 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, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0
% 0.19/0.62 % Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% 0.19/0.62 % Number of atoms : 41 ( 12 equ)
% 0.19/0.62 % Maximal formula atoms : 4 ( 2 avg)
% 0.19/0.62 % Number of connectives : 27 ( 6 ~; 3 |; 8 &)
% 0.19/0.62 % ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% 0.19/0.62 % Maximal formula depth : 9 ( 5 avg)
% 0.19/0.62 % Maximal term depth : 4 ( 1 avg)
% 0.19/0.62 % Number of predicates : 6 ( 5 usr; 0 prp; 1-3 aty)
% 0.19/0.62 % Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% 0.19/0.62 % Number of variables : 55 ( 55 !; 0 ?)
% 0.19/0.62 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.62
% 0.19/0.62 % Comments :
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 %----Include the axioms about priority queues and checked priority queues
% 0.19/0.62 include('Axioms/SWV007+0.ax').
% 0.19/0.62 include('Axioms/SWV007+2.ax').
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 %----tmp_not_check_03_3 (cpq_l038.p, cpq_l039.p)
% 0.19/0.62 fof(l48_li3839,lemma,
% 0.19/0.62 ! [U,V,W,X] :
% 0.19/0.62 ( ( pair_in_list(U,V,W)
% 0.19/0.62 & strictly_less_than(W,X) )
% 0.19/0.62 => pair_in_list(update_slb(U,X),V,X) ) ).
% 0.19/0.62
% 0.19/0.62 %----lemma_contains_update_01 (conjecture)
% 0.19/0.62 fof(l48_co,conjecture,
% 0.19/0.62 ! [U,V,W,X] :
% 0.19/0.62 ( ( pair_in_list(U,V,W)
% 0.19/0.62 & strictly_less_than(V,X)
% 0.19/0.62 & strictly_less_than(W,X) )
% 0.19/0.62 => pair_in_list(update_slb(U,X),V,X) ) ).
% 0.19/0.62
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:53(EqnAxiom:23)
% 0.19/0.62 %VarNum:152(SingletonVarNum:78)
% 0.19/0.62 %MaxLitNum:3
% 0.19/0.62 %MaxfuncDepth:3
% 0.19/0.62 %SharedTerms:12
% 0.19/0.62 %goalClause: 24 25 29 36
% 0.19/0.62 %singleGoalClaCount:4
% 0.19/0.62 [24]P1(a1,a5)
% 0.19/0.62 [25]P1(a6,a5)
% 0.19/0.62 [29]P5(a4,a1,a6)
% 0.19/0.62 [33]~P3(a2)
% 0.19/0.62 [36]~P5(f7(a4,a5),a1,a5)
% 0.19/0.62 [27]P2(a3,x271)
% 0.19/0.62 [28]P2(x281,x281)
% 0.19/0.62 [34]~P4(a2,x341)
% 0.19/0.62 [26]E(f7(a2,x261),a2)
% 0.19/0.62 [35]~P5(a2,x351,x352)
% 0.19/0.62 [30]P3(f9(x301,f8(x302,x303)))
% 0.19/0.62 [31]E(f11(f9(x311,f8(x312,x313)),x312),x311)
% 0.19/0.62 [32]E(f10(f9(x321,f8(x322,x323)),x322),x323)
% 0.19/0.62 [37]P2(x372,x371)+P2(x371,x372)
% 0.19/0.62 [38]~P1(x381,x382)+P2(x381,x382)
% 0.19/0.62 [39]~P1(x392,x391)+~P2(x391,x392)
% 0.19/0.62 [42]~E(x422,x424)+P4(f9(x421,f8(x422,x423)),x424)
% 0.19/0.62 [43]~P4(x431,x434)+P4(f9(x431,f8(x432,x433)),x434)
% 0.19/0.62 [47]~P2(x472,x474)+E(f9(f7(x471,x472),f8(x473,x474)),f7(f9(x471,f8(x473,x474)),x472))
% 0.19/0.62 [48]~P1(x483,x484)+E(f7(f9(x481,f8(x482,x483)),x484),f9(f7(x481,x484),f8(x482,x484)))
% 0.19/0.62 [51]~P5(x511,x514,x515)+P5(f9(x511,f8(x512,x513)),x514,x515)
% 0.19/0.62 [40]P1(x402,x401)+~P2(x402,x401)+P2(x401,x402)
% 0.19/0.62 [41]~P2(x411,x413)+P2(x411,x412)+~P2(x413,x412)
% 0.19/0.62 [50]~P5(x501,x503,x504)+~P1(x504,x502)+P5(f7(x501,x502),x503,x502)
% 0.19/0.62 [46]E(x461,x462)+P4(x463,x462)+~P4(f9(x463,f8(x461,x464)),x462)
% 0.19/0.62 [44]~P4(x443,x442)+E(x441,x442)+E(f10(f9(x443,f8(x441,x444)),x442),f10(x443,x442))
% 0.19/0.62 [49]~P4(x493,x492)+E(x491,x492)+E(f11(f9(x493,f8(x491,x494)),x492),f9(f11(x493,x492),f8(x491,x494)))
% 0.19/0.62 [45]~E(x453,x455)+~E(x452,x454)+P5(f9(x451,f8(x452,x453)),x454,x455)
% 0.19/0.62 [52]E(x521,x522)+P5(x523,x524,x522)+~P5(f9(x523,f8(x525,x521)),x524,x522)
% 0.19/0.62 [53]E(x531,x532)+P5(x533,x532,x534)+~P5(f9(x533,f8(x531,x535)),x532,x534)
% 0.19/0.62 %EqnAxiom
% 0.19/0.62 [1]E(x11,x11)
% 0.19/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.62 [4]~E(x41,x42)+E(f7(x41,x43),f7(x42,x43))
% 0.19/0.62 [5]~E(x51,x52)+E(f7(x53,x51),f7(x53,x52))
% 0.19/0.62 [6]~E(x61,x62)+E(f8(x61,x63),f8(x62,x63))
% 0.19/0.62 [7]~E(x71,x72)+E(f8(x73,x71),f8(x73,x72))
% 0.19/0.62 [8]~E(x81,x82)+E(f9(x81,x83),f9(x82,x83))
% 0.19/0.62 [9]~E(x91,x92)+E(f9(x93,x91),f9(x93,x92))
% 0.19/0.62 [10]~E(x101,x102)+E(f10(x101,x103),f10(x102,x103))
% 0.19/0.62 [11]~E(x111,x112)+E(f10(x113,x111),f10(x113,x112))
% 0.19/0.62 [12]~E(x121,x122)+E(f11(x121,x123),f11(x122,x123))
% 0.19/0.62 [13]~E(x131,x132)+E(f11(x133,x131),f11(x133,x132))
% 0.19/0.62 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 0.19/0.62 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 0.19/0.62 [16]P5(x162,x163,x164)+~E(x161,x162)+~P5(x161,x163,x164)
% 0.19/0.62 [17]P5(x173,x172,x174)+~E(x171,x172)+~P5(x173,x171,x174)
% 0.19/0.62 [18]P5(x183,x184,x182)+~E(x181,x182)+~P5(x183,x184,x181)
% 0.19/0.62 [19]P2(x192,x193)+~E(x191,x192)+~P2(x191,x193)
% 0.19/0.62 [20]P2(x203,x202)+~E(x201,x202)+~P2(x203,x201)
% 0.19/0.62 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 0.19/0.62 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 0.19/0.62 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(54,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[29,25,36,50]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------