%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWV400+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 : n025.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 16:47:06 EDT 2024
% Result : Theorem 0.48s 0.61s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV400+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 : n025.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 17:38:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.48/0.57 start to proof:theBenchmark
% 0.48/0.60 %-------------------------------------------
% 0.48/0.60 % File :CSE---1.7
% 0.48/0.60 % Problem :theBenchmark
% 0.48/0.60 % Transform :cnf
% 0.48/0.60 % Format :tptp:raw
% 0.48/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.48/0.60
% 0.48/0.60 % Result :Theorem 0.000000s
% 0.48/0.60 % Output :CNFRefutation 0.000000s
% 0.48/0.60 %-------------------------------------------
% 0.48/0.61 %------------------------------------------------------------------------------
% 0.48/0.61 % File : SWV400+1 : TPTP v8.2.0. Released v3.3.0.
% 0.48/0.61 % Domain : Software Verification
% 0.48/0.61 % Problem : Priority queue checker: tmp_not_check_03_2 base
% 0.48/0.61 % Version : [dNP05] axioms.
% 0.48/0.61 % English :
% 0.48/0.61
% 0.48/0.61 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.48/0.61 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.48/0.61 % Source : [Pis06]
% 0.48/0.61 % Names : cpq_l036 [Pis06]
% 0.48/0.61
% 0.48/0.61 % Status : Theorem
% 0.48/0.61 % Rating : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.00 v5.3.0, 0.07 v5.2.0, 0.05 v5.0.0, 0.00 v3.4.0, 0.05 v3.3.0
% 0.48/0.61 % Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% 0.48/0.61 % Number of atoms : 37 ( 12 equ)
% 0.48/0.61 % Maximal formula atoms : 4 ( 1 avg)
% 0.48/0.61 % Number of connectives : 24 ( 6 ~; 3 |; 6 &)
% 0.48/0.61 % ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% 0.48/0.61 % Maximal formula depth : 9 ( 5 avg)
% 0.48/0.61 % Maximal term depth : 4 ( 1 avg)
% 0.48/0.61 % Number of predicates : 6 ( 5 usr; 0 prp; 1-3 aty)
% 0.48/0.61 % Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% 0.48/0.61 % Number of variables : 51 ( 51 !; 0 ?)
% 0.48/0.61 % SPC : FOF_THM_RFO_SEQ
% 0.48/0.61
% 0.48/0.61 % Comments :
% 0.48/0.61 %------------------------------------------------------------------------------
% 0.48/0.61 %----Include the axioms about priority queues and checked priority queues
% 0.48/0.61 include('Axioms/SWV007+0.ax').
% 0.48/0.61 include('Axioms/SWV007+2.ax').
% 0.48/0.61 %------------------------------------------------------------------------------
% 0.48/0.61 %----goal: fof(l35_li3637, lemma, (! [U,V,W,X] : ((pair_in_list(U,V,W) &
% 0.48/0.61 %---- less_than(X,W)) => pair_in_list(update_slb(U,X),V,W)))).
% 0.48/0.61
% 0.48/0.61 %----tmp_not_check_03_2::base (conjecture)
% 0.48/0.61 fof(l36_co,conjecture,
% 0.48/0.61 ! [U,V,W,X] :
% 0.48/0.61 ( ( pair_in_list(create_slb,V,W)
% 0.48/0.61 & less_than(X,W) )
% 0.48/0.61 => pair_in_list(update_slb(create_slb,X),V,W) ) ).
% 0.48/0.61
% 0.48/0.61 %------------------------------------------------------------------------------
% 0.48/0.61 %-------------------------------------------
% 0.48/0.61 % Proof found
% 0.48/0.61 % SZS status Theorem for theBenchmark
% 0.48/0.61 % SZS output start Proof
% 0.48/0.61 %ClaNum:51(EqnAxiom:23)
% 0.48/0.61 %VarNum:143(SingletonVarNum:74)
% 0.48/0.61 %MaxLitNum:3
% 0.48/0.61 %MaxfuncDepth:3
% 0.48/0.61 %SharedTerms:10
% 0.48/0.61 %goalClause: 24 28 35
% 0.48/0.61 %singleGoalClaCount:3
% 0.48/0.61 [24]P1(a1,a2)
% 0.48/0.61 [28]P4(a3,a5,a2)
% 0.48/0.61 [32]~P2(a3)
% 0.48/0.61 [35]~P4(f6(a3,a1),a5,a2)
% 0.48/0.61 [26]P1(a4,x261)
% 0.48/0.61 [27]P1(x271,x271)
% 0.48/0.61 [33]~P3(a3,x331)
% 0.48/0.61 [25]E(f6(a3,x251),a3)
% 0.48/0.61 [34]~P4(a3,x341,x342)
% 0.48/0.61 [29]P2(f8(x291,f7(x292,x293)))
% 0.48/0.61 [30]E(f10(f8(x301,f7(x302,x303)),x302),x301)
% 0.48/0.61 [31]E(f9(f8(x311,f7(x312,x313)),x312),x313)
% 0.48/0.61 [36]P1(x362,x361)+P1(x361,x362)
% 0.48/0.61 [37]~P5(x371,x372)+P1(x371,x372)
% 0.48/0.61 [38]~P5(x382,x381)+~P1(x381,x382)
% 0.48/0.61 [41]~E(x412,x414)+P3(f8(x411,f7(x412,x413)),x414)
% 0.48/0.61 [42]~P3(x421,x424)+P3(f8(x421,f7(x422,x423)),x424)
% 0.48/0.61 [46]~P1(x462,x464)+E(f8(f6(x461,x462),f7(x463,x464)),f6(f8(x461,f7(x463,x464)),x462))
% 0.48/0.61 [47]~P5(x473,x474)+E(f6(f8(x471,f7(x472,x473)),x474),f8(f6(x471,x474),f7(x472,x474)))
% 0.48/0.61 [49]~P4(x491,x494,x495)+P4(f8(x491,f7(x492,x493)),x494,x495)
% 0.48/0.61 [39]P5(x392,x391)+~P1(x392,x391)+P1(x391,x392)
% 0.48/0.61 [40]~P1(x401,x403)+P1(x401,x402)+~P1(x403,x402)
% 0.48/0.61 [45]E(x451,x452)+P3(x453,x452)+~P3(f8(x453,f7(x451,x454)),x452)
% 0.48/0.61 [43]~P3(x433,x432)+E(x431,x432)+E(f9(f8(x433,f7(x431,x434)),x432),f9(x433,x432))
% 0.48/0.61 [48]~P3(x483,x482)+E(x481,x482)+E(f10(f8(x483,f7(x481,x484)),x482),f8(f10(x483,x482),f7(x481,x484)))
% 0.48/0.61 [44]~E(x443,x445)+~E(x442,x444)+P4(f8(x441,f7(x442,x443)),x444,x445)
% 0.48/0.61 [50]E(x501,x502)+P4(x503,x504,x502)+~P4(f8(x503,f7(x505,x501)),x504,x502)
% 0.48/0.61 [51]E(x511,x512)+P4(x513,x512,x514)+~P4(f8(x513,f7(x511,x515)),x512,x514)
% 0.48/0.61 %EqnAxiom
% 0.48/0.61 [1]E(x11,x11)
% 0.48/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.48/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.48/0.61 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.48/0.61 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.48/0.61 [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 0.48/0.61 [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 0.48/0.61 [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83))
% 0.48/0.61 [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92))
% 0.48/0.61 [10]~E(x101,x102)+E(f9(x101,x103),f9(x102,x103))
% 0.48/0.61 [11]~E(x111,x112)+E(f9(x113,x111),f9(x113,x112))
% 0.48/0.61 [12]~E(x121,x122)+E(f10(x121,x123),f10(x122,x123))
% 0.48/0.61 [13]~E(x131,x132)+E(f10(x133,x131),f10(x133,x132))
% 0.48/0.61 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 0.48/0.61 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 0.48/0.61 [16]P4(x162,x163,x164)+~E(x161,x162)+~P4(x161,x163,x164)
% 0.48/0.61 [17]P4(x173,x172,x174)+~E(x171,x172)+~P4(x173,x171,x174)
% 0.48/0.61 [18]P4(x183,x184,x182)+~E(x181,x182)+~P4(x183,x184,x181)
% 0.48/0.61 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 0.48/0.61 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 0.48/0.61 [21]P5(x212,x213)+~E(x211,x212)+~P5(x211,x213)
% 0.48/0.61 [22]P5(x223,x222)+~E(x221,x222)+~P5(x223,x221)
% 0.48/0.61 [23]~P2(x231)+P2(x232)+~E(x231,x232)
% 0.48/0.61
% 0.48/0.61 %-------------------------------------------
% 0.48/0.61 cnf(53,plain,
% 0.48/0.61 ($false),
% 0.48/0.61 inference(scs_inference,[],[28,34]),
% 0.48/0.61 ['proof']).
% 0.48/0.61 % SZS output end Proof
% 0.48/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------