TSTP Solution File: SWV392+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWV392+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 : n029.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 21:33:26 EDT 2023

% Result   : Theorem 0.54s 0.65s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 10:21:11 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.52/0.60  start to proof:theBenchmark
% 0.54/0.65  %-------------------------------------------
% 0.54/0.65  % File        :CSE---1.6
% 0.54/0.65  % Problem     :theBenchmark
% 0.54/0.65  % Transform   :cnf
% 0.54/0.65  % Format      :tptp:raw
% 0.54/0.65  % Command     :java -jar mcs_scs.jar %d %s
% 0.54/0.65  
% 0.54/0.65  % Result      :Theorem 0.000000s
% 0.54/0.65  % Output      :CNFRefutation 0.000000s
% 0.54/0.65  %-------------------------------------------
% 0.54/0.65  %------------------------------------------------------------------------------
% 0.54/0.65  % File     : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% 0.54/0.65  % Domain   : Software Verification
% 0.54/0.65  % Problem  : Priority queue checker: tmp_not_check_02_1 base
% 0.54/0.65  % Version  : [dNP05] axioms.
% 0.54/0.65  % English  :
% 0.54/0.65  
% 0.54/0.65  % Refs     : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.54/0.65  %          : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.54/0.65  % Source   : [Pis06]
% 0.54/0.65  % Names    : cpq_l028 [Pis06]
% 0.54/0.65  
% 0.54/0.65  % Status   : Theorem
% 0.54/0.65  % 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
% 0.54/0.65  % Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
% 0.54/0.65  %            Number of atoms       :   38 (  13 equ)
% 0.54/0.65  %            Maximal formula atoms :    4 (   2 avg)
% 0.54/0.65  %            Number of connectives :   25 (   6   ~;   4   |;   5   &)
% 0.54/0.65  %                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
% 0.54/0.65  %            Maximal formula depth :    9 (   5 avg)
% 0.54/0.65  %            Maximal term depth    :    4 (   1 avg)
% 0.54/0.65  %            Number of predicates  :    6 (   5 usr;   0 prp; 1-3 aty)
% 0.54/0.65  %            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
% 0.54/0.65  %            Number of variables   :   50 (  50   !;   0   ?)
% 0.54/0.65  % SPC      : FOF_THM_RFO_SEQ
% 0.54/0.65  
% 0.54/0.65  % Comments :
% 0.54/0.65  %------------------------------------------------------------------------------
% 0.54/0.65  %----Include the axioms about priority queues and checked priority queues
% 0.54/0.65  include('Axioms/SWV007+0.ax').
% 0.54/0.65  include('Axioms/SWV007+2.ax').
% 0.54/0.65  %------------------------------------------------------------------------------
% 0.54/0.65  %----goal: fof(l27_li2829, lemma, (! [U,V,W] : (pair_in_list(U,V,W) =>
% 0.54/0.65  %----       ! [X] : (contains_slb(U,X) =>
% 0.54/0.65  %----             (pair_in_list(remove_slb(U,X),V,W) | (V = X)))))).
% 0.54/0.65  
% 0.54/0.65  %----tmp_not_check_02::base (conjecture)
% 0.54/0.65  fof(l28_co,conjecture,
% 0.54/0.65      ! [U,V] :
% 0.54/0.65        ( pair_in_list(create_slb,U,V)
% 0.54/0.65       => ! [W] :
% 0.54/0.65            ( contains_slb(create_slb,W)
% 0.54/0.65           => ( pair_in_list(remove_slb(create_slb,W),U,V)
% 0.54/0.65              | U = W ) ) ) ).
% 0.54/0.65  
% 0.54/0.65  %------------------------------------------------------------------------------
% 0.54/0.65  %-------------------------------------------
% 0.54/0.65  % Proof found
% 0.54/0.65  % SZS status Theorem for theBenchmark
% 0.54/0.65  % SZS output start Proof
% 0.54/0.66  %ClaNum:52(EqnAxiom:23)
% 0.54/0.66  %VarNum:143(SingletonVarNum:74)
% 0.54/0.66  %MaxLitNum:3
% 0.54/0.66  %MaxfuncDepth:3
% 0.54/0.66  %SharedTerms:11
% 0.54/0.66  %goalClause: 24 28 32 36
% 0.54/0.66  %singleGoalClaCount:4
% 0.54/0.66  [24]P1(a1,a3)
% 0.54/0.66  [28]P4(a1,a4,a5)
% 0.54/0.66  [32]~E(a4,a3)
% 0.54/0.66  [33]~P3(a1)
% 0.54/0.66  [36]~P4(f10(a1,a3),a4,a5)
% 0.54/0.66  [26]P2(a2,x261)
% 0.54/0.66  [27]P2(x271,x271)
% 0.54/0.66  [34]~P1(a1,x341)
% 0.54/0.66  [25]E(f6(a1,x251),a1)
% 0.54/0.66  [35]~P4(a1,x351,x352)
% 0.54/0.66  [29]P3(f8(x291,f7(x292,x293)))
% 0.54/0.66  [30]E(f10(f8(x301,f7(x302,x303)),x302),x301)
% 0.54/0.66  [31]E(f9(f8(x311,f7(x312,x313)),x312),x313)
% 0.54/0.66  [37]P2(x372,x371)+P2(x371,x372)
% 0.54/0.66  [38]~P5(x381,x382)+P2(x381,x382)
% 0.54/0.66  [39]~P5(x392,x391)+~P2(x391,x392)
% 0.54/0.66  [42]~E(x422,x424)+P1(f8(x421,f7(x422,x423)),x424)
% 0.54/0.66  [43]~P1(x431,x434)+P1(f8(x431,f7(x432,x433)),x434)
% 0.54/0.66  [47]~P2(x472,x474)+E(f8(f6(x471,x472),f7(x473,x474)),f6(f8(x471,f7(x473,x474)),x472))
% 0.54/0.66  [48]~P5(x483,x484)+E(f6(f8(x481,f7(x482,x483)),x484),f8(f6(x481,x484),f7(x482,x484)))
% 0.54/0.66  [50]~P4(x501,x504,x505)+P4(f8(x501,f7(x502,x503)),x504,x505)
% 0.54/0.66  [40]P5(x402,x401)+~P2(x402,x401)+P2(x401,x402)
% 0.54/0.66  [41]~P2(x411,x413)+P2(x411,x412)+~P2(x413,x412)
% 0.54/0.66  [46]E(x461,x462)+P1(x463,x462)+~P1(f8(x463,f7(x461,x464)),x462)
% 0.54/0.66  [44]~P1(x443,x442)+E(x441,x442)+E(f9(f8(x443,f7(x441,x444)),x442),f9(x443,x442))
% 0.54/0.66  [49]~P1(x493,x492)+E(x491,x492)+E(f10(f8(x493,f7(x491,x494)),x492),f8(f10(x493,x492),f7(x491,x494)))
% 0.54/0.66  [45]~E(x453,x455)+~E(x452,x454)+P4(f8(x451,f7(x452,x453)),x454,x455)
% 0.54/0.66  [51]E(x511,x512)+P4(x513,x514,x512)+~P4(f8(x513,f7(x515,x511)),x514,x512)
% 0.54/0.66  [52]E(x521,x522)+P4(x523,x522,x524)+~P4(f8(x523,f7(x521,x525)),x522,x524)
% 0.54/0.66  %EqnAxiom
% 0.54/0.66  [1]E(x11,x11)
% 0.54/0.66  [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.66  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.66  [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.54/0.66  [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.54/0.66  [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 0.54/0.66  [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 0.54/0.66  [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83))
% 0.54/0.66  [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92))
% 0.54/0.66  [10]~E(x101,x102)+E(f9(x101,x103),f9(x102,x103))
% 0.54/0.66  [11]~E(x111,x112)+E(f9(x113,x111),f9(x113,x112))
% 0.54/0.66  [12]~E(x121,x122)+E(f10(x121,x123),f10(x122,x123))
% 0.54/0.66  [13]~E(x131,x132)+E(f10(x133,x131),f10(x133,x132))
% 0.54/0.66  [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 0.54/0.66  [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 0.54/0.66  [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163)
% 0.54/0.66  [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171)
% 0.54/0.66  [18]P5(x182,x183)+~E(x181,x182)+~P5(x181,x183)
% 0.54/0.66  [19]P5(x193,x192)+~E(x191,x192)+~P5(x193,x191)
% 0.54/0.66  [20]P4(x202,x203,x204)+~E(x201,x202)+~P4(x201,x203,x204)
% 0.54/0.66  [21]P4(x213,x212,x214)+~E(x211,x212)+~P4(x213,x211,x214)
% 0.54/0.66  [22]P4(x223,x224,x222)+~E(x221,x222)+~P4(x223,x224,x221)
% 0.54/0.66  [23]~P3(x231)+P3(x232)+~E(x231,x232)
% 0.54/0.66  
% 0.54/0.66  %-------------------------------------------
% 0.54/0.66  cnf(53,plain,
% 0.54/0.66     ($false),
% 0.54/0.66     inference(scs_inference,[],[24,34]),
% 0.54/0.66     ['proof']).
% 0.54/0.66  % SZS output end Proof
% 0.54/0.66  % Total time :0.000000s
%------------------------------------------------------------------------------