%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWV392+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 16:47:05 EDT 2024
% Result : Theorem 0.53s 0.61s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV392+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n019.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 20:48:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.53/0.61 %-------------------------------------------
% 0.53/0.61 % File :CSE---1.7
% 0.53/0.61 % Problem :theBenchmark
% 0.53/0.61 % Transform :cnf
% 0.53/0.61 % Format :tptp:raw
% 0.53/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.61
% 0.53/0.61 % Result :Theorem 0.000000s
% 0.53/0.61 % Output :CNFRefutation 0.000000s
% 0.53/0.61 %-------------------------------------------
% 0.53/0.61 %------------------------------------------------------------------------------
% 0.53/0.61 % File : SWV392+1 : TPTP v8.2.0. Released v3.3.0.
% 0.53/0.61 % Domain : Software Verification
% 0.53/0.61 % Problem : Priority queue checker: tmp_not_check_02_1 base
% 0.53/0.61 % Version : [dNP05] axioms.
% 0.53/0.61 % English :
% 0.53/0.61
% 0.53/0.61 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.53/0.61 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.53/0.61 % Source : [Pis06]
% 0.53/0.61 % Names : cpq_l028 [Pis06]
% 0.53/0.61
% 0.53/0.61 % Status : Theorem
% 0.53/0.61 % 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, 0.13 v6.0.0, 0.09 v5.5.0, 0.15 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.00 v3.3.0
% 0.53/0.61 % Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% 0.53/0.61 % Number of atoms : 38 ( 13 equ)
% 0.53/0.61 % Maximal formula atoms : 4 ( 2 avg)
% 0.53/0.61 % Number of connectives : 25 ( 6 ~; 4 |; 5 &)
% 0.53/0.61 % ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% 0.53/0.61 % Maximal formula depth : 9 ( 5 avg)
% 0.53/0.61 % Maximal term depth : 4 ( 1 avg)
% 0.53/0.61 % Number of predicates : 6 ( 5 usr; 0 prp; 1-3 aty)
% 0.53/0.61 % Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% 0.53/0.61 % Number of variables : 50 ( 50 !; 0 ?)
% 0.53/0.61 % SPC : FOF_THM_RFO_SEQ
% 0.53/0.61
% 0.53/0.61 % Comments :
% 0.53/0.61 %------------------------------------------------------------------------------
% 0.53/0.61 %----Include the axioms about priority queues and checked priority queues
% 0.53/0.61 include('Axioms/SWV007+0.ax').
% 0.53/0.61 include('Axioms/SWV007+2.ax').
% 0.53/0.61 %------------------------------------------------------------------------------
% 0.53/0.61 %----goal: fof(l27_li2829, lemma, (! [U,V,W] : (pair_in_list(U,V,W) =>
% 0.53/0.61 %---- ! [X] : (contains_slb(U,X) =>
% 0.53/0.61 %---- (pair_in_list(remove_slb(U,X),V,W) | (V = X)))))).
% 0.53/0.61
% 0.53/0.61 %----tmp_not_check_02::base (conjecture)
% 0.53/0.61 fof(l28_co,conjecture,
% 0.53/0.61 ! [U,V] :
% 0.53/0.61 ( pair_in_list(create_slb,U,V)
% 0.53/0.61 => ! [W] :
% 0.53/0.61 ( contains_slb(create_slb,W)
% 0.53/0.61 => ( pair_in_list(remove_slb(create_slb,W),U,V)
% 0.53/0.61 | U = W ) ) ) ).
% 0.53/0.61
% 0.53/0.61 %------------------------------------------------------------------------------
% 0.53/0.61 %-------------------------------------------
% 0.53/0.61 % Proof found
% 0.53/0.61 % SZS status Theorem for theBenchmark
% 0.53/0.61 % SZS output start Proof
% 0.53/0.61 %ClaNum:52(EqnAxiom:23)
% 0.53/0.61 %VarNum:143(SingletonVarNum:74)
% 0.53/0.61 %MaxLitNum:3
% 0.53/0.61 %MaxfuncDepth:3
% 0.53/0.61 %SharedTerms:11
% 0.53/0.61 %goalClause: 24 28 32 36
% 0.53/0.61 %singleGoalClaCount:4
% 0.53/0.61 [24]P1(a1,a3)
% 0.53/0.61 [28]P4(a1,a4,a5)
% 0.53/0.61 [32]~E(a4,a3)
% 0.53/0.61 [33]~P3(a1)
% 0.53/0.61 [36]~P4(f10(a1,a3),a4,a5)
% 0.53/0.61 [26]P2(a2,x261)
% 0.53/0.61 [27]P2(x271,x271)
% 0.53/0.61 [34]~P1(a1,x341)
% 0.53/0.61 [25]E(f6(a1,x251),a1)
% 0.53/0.61 [35]~P4(a1,x351,x352)
% 0.53/0.61 [29]P3(f8(x291,f7(x292,x293)))
% 0.53/0.61 [30]E(f10(f8(x301,f7(x302,x303)),x302),x301)
% 0.53/0.61 [31]E(f9(f8(x311,f7(x312,x313)),x312),x313)
% 0.53/0.61 [37]P2(x372,x371)+P2(x371,x372)
% 0.53/0.61 [38]~P5(x381,x382)+P2(x381,x382)
% 0.53/0.61 [39]~P5(x392,x391)+~P2(x391,x392)
% 0.53/0.61 [42]~E(x422,x424)+P1(f8(x421,f7(x422,x423)),x424)
% 0.53/0.61 [43]~P1(x431,x434)+P1(f8(x431,f7(x432,x433)),x434)
% 0.53/0.61 [47]~P2(x472,x474)+E(f8(f6(x471,x472),f7(x473,x474)),f6(f8(x471,f7(x473,x474)),x472))
% 0.53/0.61 [48]~P5(x483,x484)+E(f6(f8(x481,f7(x482,x483)),x484),f8(f6(x481,x484),f7(x482,x484)))
% 0.53/0.61 [50]~P4(x501,x504,x505)+P4(f8(x501,f7(x502,x503)),x504,x505)
% 0.53/0.61 [40]P5(x402,x401)+~P2(x402,x401)+P2(x401,x402)
% 0.53/0.61 [41]~P2(x411,x413)+P2(x411,x412)+~P2(x413,x412)
% 0.53/0.61 [46]E(x461,x462)+P1(x463,x462)+~P1(f8(x463,f7(x461,x464)),x462)
% 0.53/0.61 [44]~P1(x443,x442)+E(x441,x442)+E(f9(f8(x443,f7(x441,x444)),x442),f9(x443,x442))
% 0.53/0.61 [49]~P1(x493,x492)+E(x491,x492)+E(f10(f8(x493,f7(x491,x494)),x492),f8(f10(x493,x492),f7(x491,x494)))
% 0.53/0.61 [45]~E(x453,x455)+~E(x452,x454)+P4(f8(x451,f7(x452,x453)),x454,x455)
% 0.53/0.61 [51]E(x511,x512)+P4(x513,x514,x512)+~P4(f8(x513,f7(x515,x511)),x514,x512)
% 0.53/0.61 [52]E(x521,x522)+P4(x523,x522,x524)+~P4(f8(x523,f7(x521,x525)),x522,x524)
% 0.53/0.61 %EqnAxiom
% 0.53/0.61 [1]E(x11,x11)
% 0.53/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.61 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.53/0.61 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.53/0.61 [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 0.53/0.61 [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 0.53/0.61 [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83))
% 0.53/0.61 [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92))
% 0.53/0.61 [10]~E(x101,x102)+E(f9(x101,x103),f9(x102,x103))
% 0.53/0.61 [11]~E(x111,x112)+E(f9(x113,x111),f9(x113,x112))
% 0.53/0.61 [12]~E(x121,x122)+E(f10(x121,x123),f10(x122,x123))
% 0.53/0.61 [13]~E(x131,x132)+E(f10(x133,x131),f10(x133,x132))
% 0.53/0.61 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 0.53/0.61 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 0.53/0.61 [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163)
% 0.53/0.61 [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171)
% 0.53/0.61 [18]P5(x182,x183)+~E(x181,x182)+~P5(x181,x183)
% 0.53/0.61 [19]P5(x193,x192)+~E(x191,x192)+~P5(x193,x191)
% 0.53/0.61 [20]P4(x202,x203,x204)+~E(x201,x202)+~P4(x201,x203,x204)
% 0.53/0.61 [21]P4(x213,x212,x214)+~E(x211,x212)+~P4(x213,x211,x214)
% 0.53/0.61 [22]P4(x223,x224,x222)+~E(x221,x222)+~P4(x223,x224,x221)
% 0.53/0.61 [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 0.53/0.62
% 0.53/0.62 %-------------------------------------------
% 0.53/0.62 cnf(54,plain,
% 0.53/0.62 ($false),
% 0.53/0.62 inference(scs_inference,[],[24,34]),
% 0.53/0.62 ['proof']).
% 0.53/0.62 % SZS output end Proof
% 0.53/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------