TSTP Solution File: SYN626-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN626-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n017.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 : Fri Sep  1 01:46:40 EDT 2023

% Result   : Unsatisfiable 0.55s 0.66s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SYN626-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.11  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.32  % Computer : n017.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sat Aug 26 17:52:56 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.17/0.57  start to proof:theBenchmark
% 0.17/0.65  %-------------------------------------------
% 0.17/0.65  % File        :CSE---1.6
% 0.17/0.65  % Problem     :theBenchmark
% 0.17/0.65  % Transform   :cnf
% 0.17/0.65  % Format      :tptp:raw
% 0.17/0.65  % Command     :java -jar mcs_scs.jar %d %s
% 0.17/0.65  
% 0.17/0.65  % Result      :Theorem 0.030000s
% 0.55/0.65  % Output      :CNFRefutation 0.030000s
% 0.55/0.65  %-------------------------------------------
% 0.55/0.65  %--------------------------------------------------------------------------
% 0.55/0.65  % File     : SYN626-1 : TPTP v8.1.2. Released v2.5.0.
% 0.55/0.65  % Domain   : Syntactic
% 0.55/0.65  % Problem  : Harrison problem 4045
% 0.55/0.65  % Version  : Especial.
% 0.55/0.65  % English  :
% 0.55/0.65  
% 0.55/0.65  % Refs     : [Har01] Email to G. Sutcliffe
% 0.55/0.65  % Source   : [Har01]
% 0.55/0.65  % Names    :
% 0.55/0.65  
% 0.55/0.65  % Status   : Unsatisfiable
% 0.55/0.65  % Rating   : 0.00 v2.5.0
% 0.55/0.65  % Syntax   : Number of clauses     :   35 (  10 unt;   1 nHn;  29 RR)
% 0.55/0.65  %            Number of literals    :   85 (   0 equ;  49 neg)
% 0.55/0.65  %            Maximal clause size   :    4 (   2 avg)
% 0.55/0.65  %            Maximal term depth    :    6 (   1 avg)
% 0.55/0.66  %            Number of predicates  :   11 (  11 usr;   0 prp; 2-2 aty)
% 0.55/0.66  %            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
% 0.55/0.66  %            Number of variables   :   77 (   0 sgn)
% 0.55/0.66  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.55/0.66  
% 0.55/0.66  % Comments :
% 0.55/0.66  %--------------------------------------------------------------------------
% 0.55/0.66  cnf(p11_1,negated_conjecture,
% 0.55/0.66      p11(X0,X0) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p7_2,negated_conjecture,
% 0.55/0.66      p7(X54,X54) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p6_3,negated_conjecture,
% 0.55/0.66      p6(X47,X47) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p3_4,negated_conjecture,
% 0.55/0.66      p3(X38,X38) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p2_5,negated_conjecture,
% 0.55/0.66      p2(X33,X33) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p11_6,negated_conjecture,
% 0.55/0.66      p11(f13(f12(X5)),X5) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p14_7,negated_conjecture,
% 0.55/0.66      p14(f4(f5(c20)),f4(c21)) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p16_8,negated_conjecture,
% 0.55/0.66      ( p16(X14,X15)
% 0.55/0.66      | ~ p15(X14,X15) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p15_9,negated_conjecture,
% 0.55/0.66      p15(c22,f8(f5(c20),f9(c23,c24))) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p16_10,negated_conjecture,
% 0.55/0.66      ( p16(c22,X20)
% 0.55/0.66      | ~ p7(f12(f13(X20)),X20) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p11_11,negated_conjecture,
% 0.55/0.66      ( p11(f13(X3),f13(X4))
% 0.55/0.66      | ~ p7(X3,X4) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p7_12,negated_conjecture,
% 0.55/0.66      ( p7(f12(X57),f12(X58))
% 0.55/0.66      | ~ p11(X57,X58) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p3_13,negated_conjecture,
% 0.55/0.66      ( p3(f4(X45),f4(X46))
% 0.55/0.66      | ~ p2(X45,X46) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p2_14,negated_conjecture,
% 0.55/0.66      ( p2(f5(X36),f5(X37))
% 0.55/0.66      | ~ p2(X36,X37) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p7_15,negated_conjecture,
% 0.55/0.66      ( p7(f12(f13(X20)),X20)
% 0.55/0.66      | ~ p16(c22,X20) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p11_16,negated_conjecture,
% 0.55/0.66      ( p11(X1,X2)
% 0.55/0.66      | ~ p11(X0,X1)
% 0.55/0.66      | ~ p11(X0,X2) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p7_17,negated_conjecture,
% 0.55/0.66      ( p7(X55,X56)
% 0.55/0.66      | ~ p7(X54,X55)
% 0.55/0.66      | ~ p7(X54,X56) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p6_18,negated_conjecture,
% 0.55/0.66      ( p6(X48,X49)
% 0.55/0.66      | ~ p6(X47,X48)
% 0.55/0.66      | ~ p6(X47,X49) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p3_19,negated_conjecture,
% 0.55/0.66      ( p3(X39,X40)
% 0.55/0.66      | ~ p3(X38,X39)
% 0.55/0.66      | ~ p3(X38,X40) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p2_20,negated_conjecture,
% 0.55/0.66      ( p2(X34,X35)
% 0.55/0.66      | ~ p2(X33,X34)
% 0.55/0.66      | ~ p2(X33,X35) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p15_21,negated_conjecture,
% 0.55/0.66      ( p15(X14,X15)
% 0.55/0.66      | ~ p16(X14,X15)
% 0.55/0.66      | ~ p19(X14,X15) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p15_22,negated_conjecture,
% 0.55/0.66      ( p15(X14,X15)
% 0.55/0.66      | ~ p16(X14,X15)
% 0.55/0.66      | ~ p18(X14,X15) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p15_23,negated_conjecture,
% 0.55/0.66      ( p15(X14,X15)
% 0.55/0.66      | ~ p16(X14,X15)
% 0.55/0.66      | ~ p17(X14,X15) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(not_p15_24,negated_conjecture,
% 0.55/0.66      ~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p17_25,negated_conjecture,
% 0.55/0.66      ( p17(X14,X15)
% 0.55/0.66      | p18(X14,X15)
% 0.55/0.66      | p19(X14,X15)
% 0.55/0.66      | ~ p15(X14,X15) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p14_26,negated_conjecture,
% 0.55/0.66      ( p14(X6,X7)
% 0.55/0.66      | ~ p3(X8,X6)
% 0.55/0.66      | ~ p3(X9,X7)
% 0.55/0.66      | ~ p14(X8,X9) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p19_27,negated_conjecture,
% 0.55/0.66      ( p19(X29,X30)
% 0.55/0.66      | ~ p6(X31,X29)
% 0.55/0.66      | ~ p7(X32,X30)
% 0.55/0.66      | ~ p19(X31,X32) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p18_28,negated_conjecture,
% 0.55/0.66      ( p18(X25,X26)
% 0.55/0.66      | ~ p6(X27,X25)
% 0.55/0.66      | ~ p7(X28,X26)
% 0.55/0.66      | ~ p18(X27,X28) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p17_29,negated_conjecture,
% 0.55/0.66      ( p17(X21,X22)
% 0.55/0.66      | ~ p6(X23,X21)
% 0.55/0.66      | ~ p7(X24,X22)
% 0.55/0.66      | ~ p17(X23,X24) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p16_30,negated_conjecture,
% 0.55/0.66      ( p16(X16,X17)
% 0.55/0.66      | ~ p6(X18,X16)
% 0.55/0.66      | ~ p7(X19,X17)
% 0.55/0.66      | ~ p16(X18,X19) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p15_31,negated_conjecture,
% 0.55/0.66      ( p15(X10,X11)
% 0.55/0.66      | ~ p6(X12,X10)
% 0.55/0.66      | ~ p7(X13,X11)
% 0.55/0.66      | ~ p15(X12,X13) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p3_32,negated_conjecture,
% 0.55/0.66      p3(f10(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),f4(c21)) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p7_33,negated_conjecture,
% 0.55/0.66      ( p7(f8(X59,X60),f8(X61,X62))
% 0.55/0.66      | ~ p2(X59,X61)
% 0.55/0.66      | ~ p6(X60,X62) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p3_34,negated_conjecture,
% 0.55/0.66      ( p3(f10(X41,X42),f10(X43,X44))
% 0.55/0.66      | ~ p6(X41,X43)
% 0.55/0.66      | ~ p7(X42,X44) ) ).
% 0.55/0.66  
% 0.55/0.66  cnf(p6_35,negated_conjecture,
% 0.55/0.66      ( p6(f9(X50,X51),f9(X52,X53))
% 0.55/0.66      | ~ p2(X51,X53)
% 0.55/0.66      | ~ p2(X50,X52) ) ).
% 0.55/0.66  
% 0.55/0.66  %--------------------------------------------------------------------------
% 0.55/0.66  %-------------------------------------------
% 0.55/0.66  % Proof found
% 0.55/0.66  % SZS status Theorem for theBenchmark
% 0.55/0.66  % SZS output start Proof
% 0.55/0.66  %ClaNum:35(EqnAxiom:0)
% 0.55/0.66  %VarNum:166(SingletonVarNum:77)
% 0.55/0.66  %MaxLitNum:4
% 0.55/0.66  %MaxfuncDepth:5
% 0.55/0.66  %SharedTerms:17
% 0.55/0.66  %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
% 0.55/0.66  %singleGoalClaCount:10
% 0.55/0.66  [6]P6(f3(f2(a1)),f3(a4))
% 0.55/0.66  [8]P7(a6,f12(f2(a1),f11(a7,a8)))
% 0.55/0.66  [10]~P7(a6,f5(f10(f12(f2(a1),f11(a7,a8)))))
% 0.55/0.66  [9]P4(f9(a6,f5(f10(f12(f2(a1),f11(a7,a8))))),f3(a4))
% 0.55/0.66  [1]P1(x11,x11)
% 0.55/0.66  [2]P2(x21,x21)
% 0.55/0.66  [3]P3(x31,x31)
% 0.55/0.66  [4]P4(x41,x41)
% 0.55/0.66  [5]P5(x51,x51)
% 0.55/0.66  [7]P1(f10(f5(x71)),x71)
% 0.55/0.66  [16]~P8(a6,x161)+P2(f5(f10(x161)),x161)
% 0.55/0.66  [25]P8(a6,x251)+~P2(f5(f10(x251)),x251)
% 0.55/0.66  [11]~P7(x111,x112)+P8(x111,x112)
% 0.55/0.66  [12]~P2(x121,x122)+P1(f10(x121),f10(x122))
% 0.55/0.66  [13]~P1(x131,x132)+P2(f5(x131),f5(x132))
% 0.55/0.66  [14]~P5(x141,x142)+P4(f3(x141),f3(x142))
% 0.55/0.66  [15]~P5(x151,x152)+P5(f2(x151),f2(x152))
% 0.55/0.66  [22]~P8(x221,x222)+~P9(x221,x222)+P7(x221,x222)
% 0.55/0.66  [23]~P8(x231,x232)+~P10(x231,x232)+P7(x231,x232)
% 0.55/0.66  [24]~P8(x241,x242)+~P11(x241,x242)+P7(x241,x242)
% 0.55/0.66  [17]~P1(x173,x171)+P1(x171,x172)+~P1(x173,x172)
% 0.55/0.66  [18]~P2(x183,x181)+P2(x181,x182)+~P2(x183,x182)
% 0.55/0.66  [19]~P3(x193,x191)+P3(x191,x192)+~P3(x193,x192)
% 0.55/0.66  [20]~P4(x203,x201)+P4(x201,x202)+~P4(x203,x202)
% 0.55/0.66  [21]~P5(x213,x211)+P5(x211,x212)+~P5(x213,x212)
% 0.55/0.66  [33]~P3(x332,x334)+~P5(x331,x333)+P2(f12(x331,x332),f12(x333,x334))
% 0.55/0.66  [34]~P5(x342,x344)+~P5(x341,x343)+P3(f11(x341,x342),f11(x343,x344))
% 0.55/0.66  [35]~P2(x352,x354)+~P3(x351,x353)+P4(f9(x351,x352),f9(x353,x354))
% 0.55/0.66  [26]P10(x261,x262)+P11(x261,x262)+~P7(x261,x262)+P9(x261,x262)
% 0.55/0.66  [27]~P6(x274,x273)+P6(x271,x272)+~P4(x273,x272)+~P4(x274,x271)
% 0.55/0.66  [28]~P8(x284,x283)+P8(x281,x282)+~P2(x283,x282)+~P3(x284,x281)
% 0.55/0.66  [29]~P7(x294,x293)+P7(x291,x292)+~P2(x293,x292)+~P3(x294,x291)
% 0.55/0.66  [30]~P9(x304,x303)+P9(x301,x302)+~P2(x303,x302)+~P3(x304,x301)
% 0.55/0.66  [31]~P10(x314,x313)+P10(x311,x312)+~P2(x313,x312)+~P3(x314,x311)
% 0.55/0.66  [32]~P11(x324,x323)+P11(x321,x322)+~P2(x323,x322)+~P3(x324,x321)
% 0.55/0.66  %EqnAxiom
% 0.55/0.66  
% 0.55/0.66  %-------------------------------------------
% 0.55/0.66  cnf(37,plain,
% 0.55/0.66     (P2(f5(f10(f12(f2(a1),f11(a7,a8)))),f12(f2(a1),f11(a7,a8)))),
% 0.55/0.66     inference(scs_inference,[],[8,11,16])).
% 0.55/0.66  cnf(46,plain,
% 0.55/0.66     (~P2(f12(f2(a1),f11(a7,a8)),f5(f10(f12(f2(a1),f11(a7,a8)))))),
% 0.55/0.66     inference(scs_inference,[],[1,3,8,10,7,11,16,13,24,17,35,29])).
% 0.55/0.66  cnf(88,plain,
% 0.55/0.66     ($false),
% 0.55/0.66     inference(scs_inference,[],[37,46,2,18]),
% 0.55/0.66     ['proof']).
% 0.55/0.66  % SZS output end Proof
% 0.55/0.66  % Total time :0.030000s
%------------------------------------------------------------------------------