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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SYN594-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% 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 : Mon Jun 24 19:06:03 EDT 2024

% Result   : Unsatisfiable 0.59s 0.65s
% Output   : CNFRefutation 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN594-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sun Jun 23 21:13:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.19/0.55  start to proof:theBenchmark
% 0.59/0.64  %-------------------------------------------
% 0.59/0.64  % File        :CSE---1.7
% 0.59/0.64  % Problem     :theBenchmark
% 0.59/0.64  % Transform   :cnf
% 0.59/0.64  % Format      :tptp:raw
% 0.59/0.64  % Command     :java -jar mcs_scs.jar %d %s
% 0.59/0.64  
% 0.59/0.64  % Result      :Theorem 0.040000s
% 0.59/0.64  % Output      :CNFRefutation 0.040000s
% 0.59/0.64  %-------------------------------------------
% 0.59/0.64  %--------------------------------------------------------------------------
% 0.59/0.64  % File     : SYN594-1 : TPTP v8.2.0. Released v2.5.0.
% 0.59/0.64  % Domain   : Syntactic
% 0.59/0.64  % Problem  : Harrison problem 3633
% 0.59/0.64  % Version  : Especial.
% 0.59/0.64  % English  :
% 0.59/0.64  
% 0.59/0.64  % Refs     : [Har01] Email to G. Sutcliffe
% 0.59/0.64  % Source   : [Har01]
% 0.59/0.64  % Names    :
% 0.59/0.64  
% 0.59/0.64  % Status   : Unsatisfiable
% 0.59/0.64  % Rating   : 0.00 v2.5.0
% 0.59/0.64  % Syntax   : Number of clauses     :   27 (   8 unt;   1 nHn;  25 RR)
% 0.59/0.64  %            Number of literals    :   62 (   0 equ;  39 neg)
% 0.59/0.64  %            Maximal clause size   :    4 (   2 avg)
% 0.59/0.64  %            Maximal term depth    :    9 (   2 avg)
% 0.59/0.64  %            Number of predicates  :    4 (   4 usr;   0 prp; 2-2 aty)
% 0.59/0.64  %            Number of functors    :   17 (  17 usr;   7 con; 0-2 aty)
% 0.59/0.64  %            Number of variables   :   58 (   1 sgn)
% 0.59/0.64  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.59/0.64  
% 0.59/0.64  % Comments :
% 0.59/0.64  %--------------------------------------------------------------------------
% 0.59/0.64  cnf(p2_1,negated_conjecture,
% 0.59/0.64      p2(X10,X10) ).
% 0.59/0.64  
% 0.59/0.64  cnf(p7_2,negated_conjecture,
% 0.59/0.64      p7(X27,X27) ).
% 0.59/0.64  
% 0.59/0.64  cnf(not_p2_3,negated_conjecture,
% 0.59/0.64      ~ p2(c16,f3(c17)) ).
% 0.59/0.64  
% 0.59/0.64  cnf(p14_4,negated_conjecture,
% 0.59/0.64      p14(c18,f3(f4(f5(c17)))) ).
% 0.59/0.64  
% 0.59/0.64  cnf(p15_5,negated_conjecture,
% 0.59/0.64      ( p15(X4,X5)
% 0.59/0.64      | ~ p14(X4,X5) ) ).
% 0.59/0.64  
% 0.59/0.64  cnf(not_p14_6,negated_conjecture,
% 0.59/0.65      ( ~ p14(X4,X5)
% 0.59/0.65      | ~ p2(X4,X5) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p14_7,negated_conjecture,
% 0.59/0.65      p14(c19,f6(f3(f4(f5(c17))),c16)) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p7_8,negated_conjecture,
% 0.59/0.65      ( p7(f12(X36),f12(X37))
% 0.59/0.65      | ~ p7(X36,X37) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p2_9,negated_conjecture,
% 0.59/0.65      ( p2(f3(X17),f3(X18))
% 0.59/0.65      | ~ p2(X17,X18) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p2_10,negated_conjecture,
% 0.59/0.65      ( p2(f4(X19),f4(X20))
% 0.59/0.65      | ~ p2(X19,X20) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p2_11,negated_conjecture,
% 0.59/0.65      ( p2(f5(X21),f5(X22))
% 0.59/0.65      | ~ p2(X21,X22) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p7_12,negated_conjecture,
% 0.59/0.65      ( p7(f11(X34),f11(X35))
% 0.59/0.65      | ~ p2(X34,X35) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p14_13,negated_conjecture,
% 0.59/0.65      ( p14(X4,X5)
% 0.59/0.65      | p2(X4,X5)
% 0.59/0.65      | ~ p15(X4,X5) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p7_14,negated_conjecture,
% 0.59/0.65      ( p7(X28,X29)
% 0.59/0.65      | ~ p7(X27,X28)
% 0.59/0.65      | ~ p7(X27,X29) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p2_15,negated_conjecture,
% 0.59/0.65      ( p2(X11,X12)
% 0.59/0.65      | ~ p2(X10,X11)
% 0.59/0.65      | ~ p2(X10,X12) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p15_16,negated_conjecture,
% 0.59/0.65      p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ).
% 0.59/0.65  
% 0.59/0.65  cnf(not_p2_17,negated_conjecture,
% 0.59/0.65      ~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p14_18,negated_conjecture,
% 0.59/0.65      ( p14(X0,X1)
% 0.59/0.65      | ~ p2(X2,X0)
% 0.59/0.65      | ~ p2(X3,X1)
% 0.59/0.65      | ~ p14(X2,X3) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p15_19,negated_conjecture,
% 0.59/0.65      ( p15(X6,X7)
% 0.59/0.65      | ~ p2(X8,X6)
% 0.59/0.65      | ~ p2(X9,X7)
% 0.59/0.65      | ~ p15(X8,X9) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p2_20,negated_conjecture,
% 0.59/0.65      ( p2(f13(X13,X14),f13(X15,X16))
% 0.59/0.65      | ~ p2(X13,X15)
% 0.59/0.65      | ~ p2(X14,X16) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p7_21,negated_conjecture,
% 0.59/0.65      ( p7(f9(X42,X43),f9(X44,X45))
% 0.59/0.65      | ~ p7(X42,X44)
% 0.59/0.65      | ~ p7(X43,X45) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p7_22,negated_conjecture,
% 0.59/0.65      ( p7(f8(X38,X39),f8(X40,X41))
% 0.59/0.65      | ~ p7(X38,X40)
% 0.59/0.65      | ~ p7(X39,X41) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p7_23,negated_conjecture,
% 0.59/0.65      ( p7(f10(X30,X31),f10(X32,X33))
% 0.59/0.65      | ~ p2(X31,X33)
% 0.59/0.65      | ~ p7(X30,X32) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p2_24,negated_conjecture,
% 0.59/0.65      ( p2(f6(X23,X24),f6(X25,X26))
% 0.59/0.65      | ~ p2(X23,X25)
% 0.59/0.65      | ~ p2(X24,X26) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(p7_25,negated_conjecture,
% 0.59/0.65      p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))) ).
% 0.59/0.65  
% 0.59/0.65  cnf(not_p2_26,negated_conjecture,
% 0.59/0.65      ( ~ p2(X48,f3(c17))
% 0.59/0.65      | ~ p14(X46,f3(f4(f5(c17))))
% 0.59/0.65      | ~ p15(X47,f6(f3(f4(f5(c17))),c16))
% 0.59/0.65      | ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22))))) ) ).
% 0.59/0.65  
% 0.59/0.65  cnf(not_p14_27,negated_conjecture,
% 0.59/0.65      ( ~ p14(X46,f3(f4(f5(c17))))
% 0.59/0.65      | ~ p15(X47,f6(f3(f4(f5(c17))),c16))
% 0.59/0.65      | ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47)
% 0.59/0.65      | ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22))))) ) ).
% 0.59/0.65  
% 0.59/0.65  %--------------------------------------------------------------------------
% 0.59/0.65  %-------------------------------------------
% 0.59/0.65  % Proof found
% 0.59/0.65  % SZS status Theorem for theBenchmark
% 0.59/0.65  % SZS output start Proof
% 0.59/0.65  %ClaNum:27(EqnAxiom:0)
% 0.59/0.65  %VarNum:118(SingletonVarNum:58)
% 0.59/0.65  %MaxLitNum:4
% 0.59/0.65  %MaxfuncDepth:8
% 0.59/0.65  %SharedTerms:31
% 0.59/0.65  %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
% 0.59/0.65  %singleGoalClaCount:8
% 0.59/0.65  [7]~P1(a3,f6(a2))
% 0.59/0.65  [3]P2(a1,f6(f5(f4(a2))))
% 0.59/0.65  [4]P2(a7,f15(f6(f5(f4(a2))),a3))
% 0.59/0.65  [5]P3(f15(f6(f5(f4(a2))),f8(a3,f6(f4(a2)))),a7)
% 0.59/0.65  [8]~P1(a7,f15(f6(f5(f4(a2))),f8(a3,f6(f4(a2)))))
% 0.59/0.65  [6]P4(a9,f17(f11(f14(f10(f6(f4(a2)))),a1),f17(f11(f10(f6(f5(f4(a2)))),a12),f16(f10(a7),f11(f10(f6(f5(f4(a2)))),a13)))))
% 0.59/0.65  [1]P1(x11,x11)
% 0.59/0.65  [2]P4(x21,x21)
% 0.59/0.65  [9]~P2(x91,x92)+P3(x91,x92)
% 0.59/0.65  [10]~P2(x101,x102)+~P1(x101,x102)
% 0.59/0.65  [11]~P1(x111,x112)+P1(f6(x111),f6(x112))
% 0.59/0.65  [12]~P1(x121,x122)+P1(f4(x121),f4(x122))
% 0.59/0.65  [13]~P1(x131,x132)+P1(f5(x131),f5(x132))
% 0.59/0.65  [14]~P4(x141,x142)+P4(f14(x141),f14(x142))
% 0.59/0.65  [15]~P1(x151,x152)+P4(f10(x151),f10(x152))
% 0.59/0.65  [16]P2(x161,x162)+~P3(x161,x162)+P1(x161,x162)
% 0.59/0.65  [17]~P1(x173,x171)+P1(x171,x172)+~P1(x173,x172)
% 0.59/0.65  [18]~P4(x183,x181)+P4(x181,x182)+~P4(x183,x182)
% 0.59/0.65  [21]~P1(x212,x214)+~P1(x211,x213)+P1(f15(x211,x212),f15(x213,x214))
% 0.59/0.65  [22]~P1(x222,x224)+~P1(x221,x223)+P1(f8(x221,x222),f8(x223,x224))
% 0.59/0.65  [23]~P4(x232,x234)+~P4(x231,x233)+P4(f16(x231,x232),f16(x233,x234))
% 0.59/0.65  [24]~P4(x242,x244)+~P4(x241,x243)+P4(f17(x241,x242),f17(x243,x244))
% 0.59/0.65  [25]~P1(x252,x254)+~P4(x251,x253)+P4(f11(x251,x252),f11(x253,x254))
% 0.59/0.65  [26]~P1(x261,f6(a2))+~P2(x262,f6(f5(f4(a2))))+~P3(x263,f15(f6(f5(f4(a2))),a3))+~P4(a9,f17(f11(f14(f10(f6(f4(a2)))),x262),f17(f11(f10(f6(f5(f4(a2)))),x261),f16(f10(x263),f11(f10(f6(f5(f4(a2)))),a13)))))
% 0.59/0.65  [27]~P2(x271,f6(f5(f4(a2))))+~P2(f15(f6(f5(f4(a2))),f8(a3,f6(f4(a2)))),x272)+~P3(x272,f15(f6(f5(f4(a2))),a3))+~P4(a9,f17(f11(f14(f10(f6(f4(a2)))),x271),f17(f11(f10(f6(f5(f4(a2)))),x273),f16(f10(x272),f11(f10(f6(f5(f4(a2)))),a13)))))
% 0.59/0.65  [19]~P2(x194,x193)+P2(x191,x192)+~P1(x193,x192)+~P1(x194,x191)
% 0.59/0.65  [20]~P3(x204,x203)+P3(x201,x202)+~P1(x203,x202)+~P1(x204,x201)
% 0.59/0.65  %EqnAxiom
% 0.59/0.65  
% 0.59/0.65  %-------------------------------------------
% 0.59/0.65  cnf(30,plain,
% 0.59/0.65     (P1(f15(f6(f5(f4(a2))),f8(a3,f6(f4(a2)))),a7)+P2(f15(f6(f5(f4(a2))),f8(a3,f6(f4(a2)))),a7)),
% 0.59/0.65     inference(scs_inference,[],[1,5,10,16])).
% 0.59/0.65  cnf(35,plain,
% 0.59/0.65     (~P2(f15(f6(f5(f4(a2))),f8(a3,f6(f4(a2)))),a7)+~P3(a7,f15(f6(f5(f4(a2))),a3))),
% 0.59/0.65     inference(scs_inference,[],[3,6,27])).
% 0.59/0.65  cnf(49,plain,
% 0.59/0.65     (~P2(f15(f6(f5(f4(a2))),f8(a3,f6(f4(a2)))),a7)),
% 0.59/0.65     inference(scs_inference,[],[4,35,9])).
% 0.59/0.65  cnf(50,plain,
% 0.59/0.65     (P1(f15(f6(f5(f4(a2))),f8(a3,f6(f4(a2)))),a7)),
% 0.59/0.65     inference(scs_inference,[],[49,30])).
% 0.59/0.65  cnf(65,plain,
% 0.59/0.65     ($false),
% 0.59/0.65     inference(scs_inference,[],[50,1,8,17]),
% 0.59/0.65     ['proof']).
% 0.59/0.65  % SZS output end Proof
% 0.59/0.65  % Total time :0.040000s
%------------------------------------------------------------------------------