TSTP Solution File: SYN659-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN659-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n010.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 01:46:49 EDT 2023

% Result   : Unsatisfiable 0.20s 0.63s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN659-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 20:07:49 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  start to proof:theBenchmark
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  % File        :CSE---1.6
% 0.20/0.62  % Problem     :theBenchmark
% 0.20/0.62  % Transform   :cnf
% 0.20/0.62  % Format      :tptp:raw
% 0.20/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.62  
% 0.20/0.62  % Result      :Theorem 0.010000s
% 0.20/0.62  % Output      :CNFRefutation 0.010000s
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  %--------------------------------------------------------------------------
% 0.20/0.62  % File     : SYN659-1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.62  % Domain   : Syntactic
% 0.20/0.62  % Problem  : Harrison problem 4504
% 0.20/0.62  % Version  : Especial.
% 0.20/0.62  % English  :
% 0.20/0.62  
% 0.20/0.62  % Refs     : [Har01] Email to G. Sutcliffe
% 0.20/0.62  % Source   : [Har01]
% 0.20/0.62  % Names    :
% 0.20/0.62  
% 0.20/0.62  % Status   : Unsatisfiable
% 0.20/0.62  % Rating   : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0
% 0.20/0.62  % Syntax   : Number of clauses     :   51 (  22 unt;   2 nHn;  41 RR)
% 0.20/0.62  %            Number of literals    :  107 (   0 equ;  56 neg)
% 0.20/0.62  %            Maximal clause size   :    5 (   2 avg)
% 0.20/0.62  %            Maximal term depth    :    4 (   1 avg)
% 0.20/0.62  %            Number of predicates  :   14 (  14 usr;   0 prp; 1-3 aty)
% 0.20/0.62  %            Number of functors    :   26 (  26 usr;  15 con; 0-2 aty)
% 0.20/0.62  %            Number of variables   :  105 (   5 sgn)
% 0.20/0.62  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.62  
% 0.20/0.62  % Comments :
% 0.20/0.62  %--------------------------------------------------------------------------
% 0.20/0.62  cnf(c27_is_p22_1,negated_conjecture,
% 0.20/0.62      p22(c27) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p10_2,negated_conjecture,
% 0.20/0.62      p10(X0,X0) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p7_3,negated_conjecture,
% 0.20/0.62      p7(X87,X87) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p6_4,negated_conjecture,
% 0.20/0.62      p6(X84,X84) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p3_5,negated_conjecture,
% 0.20/0.62      p3(X79,X79) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p20_6,negated_conjecture,
% 0.20/0.62      p20(X51,X51) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p2_7,negated_conjecture,
% 0.20/0.62      p2(X32,X32) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p19_8,negated_conjecture,
% 0.20/0.62      p19(X29,X29) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p14_9,negated_conjecture,
% 0.20/0.62      p14(X20,X20) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p12_10,negated_conjecture,
% 0.20/0.62      p12(X13,X13) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p2_11,negated_conjecture,
% 0.20/0.62      p2(c41,c38) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p10_12,negated_conjecture,
% 0.20/0.62      p10(f16(c31),c32) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p7_13,negated_conjecture,
% 0.20/0.62      p7(f8(c28),c29) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p2_14,negated_conjecture,
% 0.20/0.62      p2(f17(c36),c38) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p2_15,negated_conjecture,
% 0.20/0.62      p2(f17(c31),c33) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p10_16,negated_conjecture,
% 0.20/0.62      p10(f16(c36),c37) ).
% 0.20/0.62  
% 0.20/0.62  cnf(not_p14_17,negated_conjecture,
% 0.20/0.62      ~ p14(f18(c34),c35) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p23_18,negated_conjecture,
% 0.20/0.62      p23(c27,f4(f5(X66)),f4(X66)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p22_19,negated_conjecture,
% 0.20/0.62      ( p22(X58)
% 0.20/0.62      | ~ p22(X59)
% 0.20/0.62      | ~ p19(X59,X58) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p10_20,negated_conjecture,
% 0.20/0.62      ( p10(f16(X11),f16(X12))
% 0.20/0.62      | ~ p12(X11,X12) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p7_21,negated_conjecture,
% 0.20/0.62      ( p7(f8(X90),f8(X91))
% 0.20/0.62      | ~ p6(X90,X91) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p3_22,negated_conjecture,
% 0.20/0.62      ( p3(f4(X82),f4(X83))
% 0.20/0.62      | ~ p2(X82,X83) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p2_23,negated_conjecture,
% 0.20/0.62      ( p2(f9(X49),f9(X50))
% 0.20/0.62      | ~ p2(X49,X50) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p2_24,negated_conjecture,
% 0.20/0.62      ( p2(f5(X47),f5(X48))
% 0.20/0.62      | ~ p2(X47,X48) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p2_25,negated_conjecture,
% 0.20/0.62      ( p2(f17(X45),f17(X46))
% 0.20/0.62      | ~ p12(X45,X46) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p14_26,negated_conjecture,
% 0.20/0.62      ( p14(f18(X27),f18(X28))
% 0.20/0.62      | ~ p14(X27,X28) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p24_27,negated_conjecture,
% 0.20/0.62      p24(f15(c29,f13(c40,c41)),f13(c32,c33)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p24_28,negated_conjecture,
% 0.20/0.62      p24(f15(c29,f13(c37,c38)),f13(c32,c33)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p12_29,negated_conjecture,
% 0.20/0.62      p12(f13(f16(c39),f17(c39)),f13(c40,c41)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p10_30,negated_conjecture,
% 0.20/0.62      ( p10(X1,X2)
% 0.20/0.62      | ~ p10(X0,X1)
% 0.20/0.62      | ~ p10(X0,X2) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p7_31,negated_conjecture,
% 0.20/0.62      ( p7(X88,X89)
% 0.20/0.62      | ~ p7(X87,X88)
% 0.20/0.62      | ~ p7(X87,X89) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p6_32,negated_conjecture,
% 0.20/0.62      ( p6(X85,X86)
% 0.20/0.62      | ~ p6(X84,X85)
% 0.20/0.62      | ~ p6(X84,X86) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p3_33,negated_conjecture,
% 0.20/0.62      ( p3(X80,X81)
% 0.20/0.62      | ~ p3(X79,X80)
% 0.20/0.62      | ~ p3(X79,X81) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p20_34,negated_conjecture,
% 0.20/0.62      ( p20(X52,X53)
% 0.20/0.62      | ~ p20(X51,X52)
% 0.20/0.62      | ~ p20(X51,X53) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p2_35,negated_conjecture,
% 0.20/0.62      ( p2(X33,X34)
% 0.20/0.62      | ~ p2(X32,X33)
% 0.20/0.62      | ~ p2(X32,X34) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p19_36,negated_conjecture,
% 0.20/0.62      ( p19(X30,X31)
% 0.20/0.62      | ~ p19(X29,X30)
% 0.20/0.62      | ~ p19(X29,X31) ) ).
% 0.20/0.62  
% 0.20/0.63  cnf(p14_37,negated_conjecture,
% 0.20/0.63      ( p14(X21,X22)
% 0.20/0.63      | ~ p14(X20,X21)
% 0.20/0.63      | ~ p14(X20,X22) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p12_38,negated_conjecture,
% 0.20/0.63      ( p12(X14,X15)
% 0.20/0.63      | ~ p12(X13,X14)
% 0.20/0.63      | ~ p12(X13,X15) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(not_p24_39,negated_conjecture,
% 0.20/0.63      ~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p26_40,negated_conjecture,
% 0.20/0.63      ( p26(X75,X76)
% 0.20/0.63      | ~ p2(X78,X76)
% 0.20/0.63      | ~ p26(X77,X78)
% 0.20/0.63      | ~ p2(X77,X75) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p24_41,negated_conjecture,
% 0.20/0.63      ( p24(X67,X68)
% 0.20/0.63      | ~ p14(X70,X67)
% 0.20/0.63      | ~ p24(X70,X69)
% 0.20/0.63      | ~ p12(X69,X68) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p25_42,negated_conjecture,
% 0.20/0.63      ( p25(X71,X72)
% 0.20/0.63      | ~ p20(X74,X71)
% 0.20/0.63      | ~ p25(X74,X73)
% 0.20/0.63      | ~ p10(X73,X72) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p20_43,negated_conjecture,
% 0.20/0.63      ( p20(f21(X54,X55),f21(X56,X57))
% 0.20/0.63      | ~ p10(X55,X57)
% 0.20/0.63      | ~ p19(X54,X56) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p12_44,negated_conjecture,
% 0.20/0.63      ( p12(f13(X16,X17),f13(X18,X19))
% 0.20/0.63      | ~ p10(X16,X18)
% 0.20/0.63      | ~ p2(X17,X19) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p14_45,negated_conjecture,
% 0.20/0.63      ( p14(f15(X23,X24),f15(X25,X26))
% 0.20/0.63      | ~ p12(X24,X26)
% 0.20/0.63      | ~ p7(X23,X25) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p2_46,negated_conjecture,
% 0.20/0.63      ( p2(f11(X41,X42),f11(X43,X44))
% 0.20/0.63      | ~ p10(X42,X44)
% 0.20/0.63      | ~ p3(X41,X43) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p10_47,negated_conjecture,
% 0.20/0.63      ( p10(X7,X8)
% 0.20/0.63      | p25(f21(c27,X7),X8)
% 0.20/0.63      | ~ p24(f15(c29,f13(X7,X9)),f13(X8,X10)) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p23_48,negated_conjecture,
% 0.20/0.63      ( p23(X60,X61,X62)
% 0.20/0.63      | ~ p3(X65,X62)
% 0.20/0.63      | ~ p3(X64,X61)
% 0.20/0.63      | ~ p19(X63,X60)
% 0.20/0.63      | ~ p23(X63,X64,X65) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p10_49,negated_conjecture,
% 0.20/0.63      ( p10(X3,X4)
% 0.20/0.63      | ~ p2(f11(f4(X5),X3),f9(c30))
% 0.20/0.63      | ~ p24(f15(c29,f13(X3,X5)),f13(X4,X6)) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p2_50,negated_conjecture,
% 0.20/0.63      ( p2(X35,X36)
% 0.20/0.63      | ~ p24(f15(c29,f13(X37,X35)),f13(X38,X39))
% 0.20/0.63      | ~ p24(f15(c29,f13(X40,X36)),f13(X38,X39)) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p25_51,negated_conjecture,
% 0.20/0.63      ( p25(f21(c27,X7),X8)
% 0.20/0.63      | p26(f11(f4(X9),X8),f11(f4(X10),X8))
% 0.20/0.63      | ~ p24(f15(c29,f13(X7,X9)),f13(X8,X10)) ) ).
% 0.20/0.63  
% 0.20/0.63  %--------------------------------------------------------------------------
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  % Proof found
% 0.20/0.63  % SZS status Theorem for theBenchmark
% 0.20/0.63  % SZS output start Proof
% 0.20/0.63  %ClaNum:51(EqnAxiom:0)
% 0.20/0.63  %VarNum:210(SingletonVarNum:105)
% 0.20/0.63  %MaxLitNum:5
% 0.20/0.63  %MaxfuncDepth:3
% 0.20/0.63  %SharedTerms:43
% 0.20/0.63  %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 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
% 0.20/0.63  %singleGoalClaCount:22
% 0.20/0.63  [1]P1(a1)
% 0.20/0.63  [2]P2(a2,a3)
% 0.20/0.63  [12]P3(f16(a4),a8)
% 0.20/0.63  [13]P3(f16(a9),a13)
% 0.20/0.63  [14]P8(f20(a5),a6)
% 0.20/0.63  [15]P2(f21(a4),a10)
% 0.20/0.63  [16]P2(f21(a9),a3)
% 0.20/0.63  [21]~P5(f24(a11),a12)
% 0.20/0.63  [17]P6(f17(f16(a14),f21(a14)),f17(a15,a2))
% 0.20/0.63  [19]P12(f19(a6,f17(a13,a3)),f17(a8,a10))
% 0.20/0.63  [20]P12(f19(a6,f17(a15,a2)),f17(a8,a10))
% 0.20/0.63  [22]~P12(f19(a6,f17(f16(a14),f21(a14))),f17(a8,a10))
% 0.20/0.63  [3]P3(x31,x31)
% 0.20/0.63  [4]P8(x41,x41)
% 0.20/0.63  [5]P9(x51,x51)
% 0.20/0.63  [6]P10(x61,x61)
% 0.20/0.63  [7]P7(x71,x71)
% 0.20/0.63  [8]P2(x81,x81)
% 0.20/0.63  [9]P4(x91,x91)
% 0.20/0.63  [10]P5(x101,x101)
% 0.20/0.63  [11]P6(x111,x111)
% 0.20/0.63  [18]P11(a1,f23(f22(x181)),f23(x181))
% 0.20/0.63  [24]~P6(x241,x242)+P3(f16(x241),f16(x242))
% 0.20/0.63  [25]~P9(x251,x252)+P8(f20(x251),f20(x252))
% 0.20/0.63  [26]~P2(x261,x262)+P10(f23(x261),f23(x262))
% 0.20/0.63  [27]~P6(x271,x272)+P2(f21(x271),f21(x272))
% 0.20/0.63  [28]~P2(x281,x282)+P2(f22(x281),f22(x282))
% 0.20/0.63  [29]~P2(x291,x292)+P2(f26(x291),f26(x292))
% 0.20/0.63  [30]~P5(x301,x302)+P5(f24(x301),f24(x302))
% 0.20/0.63  [23]~P4(x232,x231)+P1(x231)+~P1(x232)
% 0.20/0.63  [31]~P3(x313,x311)+P3(x311,x312)+~P3(x313,x312)
% 0.20/0.63  [32]~P8(x323,x321)+P8(x321,x322)+~P8(x323,x322)
% 0.20/0.63  [33]~P9(x333,x331)+P9(x331,x332)+~P9(x333,x332)
% 0.20/0.63  [34]~P10(x343,x341)+P10(x341,x342)+~P10(x343,x342)
% 0.20/0.63  [35]~P7(x353,x351)+P7(x351,x352)+~P7(x353,x352)
% 0.20/0.63  [36]~P2(x363,x361)+P2(x361,x362)+~P2(x363,x362)
% 0.20/0.63  [37]~P4(x373,x371)+P4(x371,x372)+~P4(x373,x372)
% 0.20/0.63  [38]~P5(x383,x381)+P5(x381,x382)+~P5(x383,x382)
% 0.20/0.63  [39]~P6(x393,x391)+P6(x391,x392)+~P6(x393,x392)
% 0.20/0.63  [43]~P3(x432,x434)+~P4(x431,x433)+P7(f25(x431,x432),f25(x433,x434))
% 0.20/0.63  [44]~P3(x442,x444)+~P10(x441,x443)+P2(f18(x441,x442),f18(x443,x444))
% 0.20/0.63  [45]~P8(x451,x453)+~P6(x452,x454)+P5(f19(x451,x452),f19(x453,x454))
% 0.20/0.63  [46]~P3(x461,x463)+~P2(x462,x464)+P6(f17(x461,x462),f17(x463,x464))
% 0.20/0.63  [48]P3(x481,x482)+P14(f25(a1,x481),x482)+~P12(f19(a6,f17(x481,x483)),f17(x482,x484))
% 0.20/0.63  [49]P3(x491,x492)+~P12(f19(a6,f17(x491,x493)),f17(x492,x494))+~P2(f18(f23(x493),x491),f26(a7))
% 0.20/0.63  [50]P14(f25(a1,x501),x502)+P13(f18(f23(x503),x502),f18(f23(x504),x502))+~P12(f19(a6,f17(x501,x503)),f17(x502,x504))
% 0.20/0.63  [51]P2(x511,x512)+~P12(f19(a6,f17(x513,x512)),f17(x514,x515))+~P12(f19(a6,f17(x516,x511)),f17(x514,x515))
% 0.20/0.63  [40]~P12(x403,x404)+P12(x401,x402)+~P5(x403,x401)+~P6(x404,x402)
% 0.20/0.63  [41]~P13(x413,x414)+P13(x411,x412)+~P2(x413,x411)+~P2(x414,x412)
% 0.20/0.63  [42]~P14(x424,x423)+P14(x421,x422)+~P3(x423,x422)+~P7(x424,x421)
% 0.20/0.63  [47]~P11(x476,x474,x475)+P11(x471,x472,x473)+~P10(x474,x472)+~P10(x475,x473)+~P4(x476,x471)
% 0.20/0.63  %EqnAxiom
% 0.20/0.63  
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  cnf(70,plain,
% 0.20/0.63     (~P5(f19(a6,f17(a15,a2)),f19(a6,f17(f16(a14),f21(a14))))),
% 0.20/0.63     inference(scs_inference,[],[6,8,9,11,2,12,14,20,17,22,29,28,27,26,24,46,45,44,43,49,40])).
% 0.20/0.63  cnf(102,plain,
% 0.20/0.63     ($false),
% 0.20/0.63     inference(scs_inference,[],[13,4,11,3,17,70,31,45,39]),
% 0.20/0.63     ['proof']).
% 0.20/0.63  % SZS output end Proof
% 0.20/0.63  % Total time :0.010000s
%------------------------------------------------------------------------------