TSTP Solution File: SYN652-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN652-1 : 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 : n031.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 01:46:47 EDT 2023

% Result   : Unsatisfiable 0.62s 0.73s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SYN652-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n031.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   : Sat Aug 26 20:00:53 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.58  start to proof:theBenchmark
% 0.20/0.71  %-------------------------------------------
% 0.20/0.71  % File        :CSE---1.6
% 0.20/0.71  % Problem     :theBenchmark
% 0.20/0.71  % Transform   :cnf
% 0.20/0.71  % Format      :tptp:raw
% 0.20/0.71  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.71  
% 0.20/0.71  % Result      :Theorem 0.070000s
% 0.20/0.71  % Output      :CNFRefutation 0.070000s
% 0.20/0.71  %-------------------------------------------
% 0.62/0.72  %--------------------------------------------------------------------------
% 0.62/0.72  % File     : SYN652-1 : TPTP v8.1.2. Released v2.5.0.
% 0.62/0.72  % Domain   : Syntactic
% 0.62/0.72  % Problem  : Harrison problem 4447
% 0.62/0.72  % Version  : Especial.
% 0.62/0.72  % English  :
% 0.62/0.72  
% 0.62/0.72  % Refs     : [Har01] Email to G. Sutcliffe
% 0.62/0.72  % Source   : [Har01]
% 0.62/0.72  % Names    :
% 0.62/0.72  
% 0.62/0.72  % Status   : Unsatisfiable
% 0.62/0.72  % Rating   : 0.00 v5.4.0, 0.06 v5.3.0, 0.15 v5.2.0, 0.00 v2.5.0
% 0.62/0.72  % Syntax   : Number of clauses     :   47 (  20 unt;   0 nHn;  30 RR)
% 0.62/0.72  %            Number of literals    :  101 (   0 equ;  55 neg)
% 0.62/0.72  %            Maximal clause size   :    4 (   2 avg)
% 0.62/0.72  %            Maximal term depth    :    5 (   1 avg)
% 0.62/0.72  %            Number of predicates  :   16 (  16 usr;   0 prp; 2-2 aty)
% 0.62/0.72  %            Number of functors    :   21 (  21 usr;  11 con; 0-2 aty)
% 0.62/0.72  %            Number of variables   :  111 (   0 sgn)
% 0.62/0.72  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.62/0.72  
% 0.62/0.72  % Comments :
% 0.62/0.72  %--------------------------------------------------------------------------
% 0.62/0.72  cnf(p11_1,negated_conjecture,
% 0.62/0.72      p11(X0,X0) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p9_2,negated_conjecture,
% 0.62/0.72      p9(X93,X93) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p7_3,negated_conjecture,
% 0.62/0.72      p7(X86,X86) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p6_4,negated_conjecture,
% 0.62/0.72      p6(X75,X75) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p4_5,negated_conjecture,
% 0.62/0.72      p4(X53,X53) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p3_6,negated_conjecture,
% 0.62/0.72      p3(X50,X50) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p25_7,negated_conjecture,
% 0.62/0.72      p25(X43,X43) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p23_8,negated_conjecture,
% 0.62/0.72      p23(X40,X40) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p21_9,negated_conjecture,
% 0.62/0.72      p21(X33,X33) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p2_10,negated_conjecture,
% 0.62/0.72      p2(X30,X30) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p19_11,negated_conjecture,
% 0.62/0.72      p19(X23,X23) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p18_12,negated_conjecture,
% 0.62/0.72      p18(X16,X16) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p16_13,negated_conjecture,
% 0.62/0.72      p16(X13,X13) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p14_14,negated_conjecture,
% 0.62/0.72      p14(X6,X6) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p12_15,negated_conjecture,
% 0.62/0.72      p12(X3,X3) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p4_16,negated_conjecture,
% 0.62/0.72      p4(c34,f5(c35,c32)) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p27_17,negated_conjecture,
% 0.62/0.72      p27(f8(f10(c28,f13(c29,c30)),c32),c33) ).
% 0.62/0.72  
% 0.62/0.72  cnf(not_p4_18,negated_conjecture,
% 0.62/0.72      ~ p4(f5(c31,c33),f15(f17(c36,c31),c34)) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p11_19,negated_conjecture,
% 0.62/0.72      ( p11(X1,X2)
% 0.62/0.72      | ~ p11(X0,X1)
% 0.62/0.72      | ~ p11(X0,X2) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p9_20,negated_conjecture,
% 0.62/0.72      ( p9(X94,X95)
% 0.62/0.72      | ~ p9(X93,X94)
% 0.62/0.72      | ~ p9(X93,X95) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p7_21,negated_conjecture,
% 0.62/0.72      ( p7(X87,X88)
% 0.62/0.72      | ~ p7(X86,X87)
% 0.62/0.72      | ~ p7(X86,X88) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p6_22,negated_conjecture,
% 0.62/0.72      ( p6(X76,X77)
% 0.62/0.72      | ~ p6(X75,X76)
% 0.62/0.72      | ~ p6(X75,X77) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p4_23,negated_conjecture,
% 0.62/0.72      ( p4(X54,X55)
% 0.62/0.72      | ~ p4(X53,X54)
% 0.62/0.72      | ~ p4(X53,X55) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p3_24,negated_conjecture,
% 0.62/0.72      ( p3(X51,X52)
% 0.62/0.72      | ~ p3(X50,X51)
% 0.62/0.72      | ~ p3(X50,X52) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p25_25,negated_conjecture,
% 0.62/0.72      ( p25(X44,X45)
% 0.62/0.72      | ~ p25(X43,X44)
% 0.62/0.72      | ~ p25(X43,X45) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p23_26,negated_conjecture,
% 0.62/0.72      ( p23(X41,X42)
% 0.62/0.72      | ~ p23(X40,X41)
% 0.62/0.72      | ~ p23(X40,X42) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p21_27,negated_conjecture,
% 0.62/0.72      ( p21(X34,X35)
% 0.62/0.72      | ~ p21(X33,X34)
% 0.62/0.72      | ~ p21(X33,X35) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p2_28,negated_conjecture,
% 0.62/0.72      ( p2(X31,X32)
% 0.62/0.72      | ~ p2(X30,X31)
% 0.62/0.72      | ~ p2(X30,X32) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p19_29,negated_conjecture,
% 0.62/0.72      ( p19(X24,X25)
% 0.62/0.72      | ~ p19(X23,X24)
% 0.62/0.72      | ~ p19(X23,X25) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p18_30,negated_conjecture,
% 0.62/0.72      ( p18(X17,X18)
% 0.62/0.72      | ~ p18(X16,X17)
% 0.62/0.72      | ~ p18(X16,X18) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p16_31,negated_conjecture,
% 0.62/0.72      ( p16(X14,X15)
% 0.62/0.72      | ~ p16(X13,X14)
% 0.62/0.72      | ~ p16(X13,X15) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p14_32,negated_conjecture,
% 0.62/0.72      ( p14(X7,X8)
% 0.62/0.72      | ~ p14(X6,X7)
% 0.62/0.72      | ~ p14(X6,X8) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p12_33,negated_conjecture,
% 0.62/0.72      ( p12(X4,X5)
% 0.62/0.72      | ~ p12(X3,X4)
% 0.62/0.72      | ~ p12(X3,X5) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p4_34,negated_conjecture,
% 0.62/0.72      p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p27_35,negated_conjecture,
% 0.62/0.72      ( p27(X46,X47)
% 0.62/0.72      | ~ p3(X49,X47)
% 0.62/0.72      | ~ p7(X48,X46)
% 0.62/0.72      | ~ p27(X48,X49) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p7_36,negated_conjecture,
% 0.62/0.72      ( p7(f8(X89,X90),f8(X91,X92))
% 0.62/0.72      | ~ p3(X90,X92)
% 0.62/0.72      | ~ p6(X89,X91) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p14_37,negated_conjecture,
% 0.62/0.72      ( p14(f17(X9,X10),f17(X11,X12))
% 0.62/0.72      | ~ p16(X9,X11)
% 0.62/0.72      | ~ p2(X10,X12) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p18_38,negated_conjecture,
% 0.62/0.72      ( p18(f26(X19,X20),f26(X21,X22))
% 0.62/0.72      | ~ p25(X19,X21)
% 0.62/0.72      | ~ p3(X20,X22) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p19_39,negated_conjecture,
% 0.62/0.72      ( p19(f22(X26,X27),f22(X28,X29))
% 0.62/0.72      | ~ p19(X27,X29)
% 0.62/0.72      | ~ p21(X26,X28) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p21_40,negated_conjecture,
% 0.62/0.72      ( p21(f24(X36,X37),f24(X38,X39))
% 0.62/0.72      | ~ p14(X37,X39)
% 0.62/0.72      | ~ p23(X36,X38) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p4_41,negated_conjecture,
% 0.62/0.72      ( p4(f15(X56,X57),f15(X58,X59))
% 0.62/0.72      | ~ p14(X56,X58)
% 0.62/0.72      | ~ p4(X57,X59) ) ).
% 0.62/0.72  
% 0.62/0.72  cnf(p4_42,negated_conjecture,
% 0.62/0.73      ( p4(f20(X65,X66),f20(X67,X68))
% 0.62/0.73      | ~ p18(X65,X67)
% 0.62/0.73      | ~ p19(X66,X68) ) ).
% 0.62/0.73  
% 0.62/0.73  cnf(p4_43,negated_conjecture,
% 0.62/0.73      ( p4(f5(X69,X70),f5(X71,X72))
% 0.62/0.73      | ~ p2(X69,X71)
% 0.62/0.73      | ~ p3(X70,X72) ) ).
% 0.62/0.73  
% 0.62/0.73  cnf(p6_44,negated_conjecture,
% 0.62/0.73      ( p6(f10(X78,X79),f10(X80,X81))
% 0.62/0.73      | ~ p6(X79,X81)
% 0.62/0.73      | ~ p9(X78,X80) ) ).
% 0.62/0.73  
% 0.62/0.73  cnf(p6_45,negated_conjecture,
% 0.62/0.73      ( p6(f13(X82,X83),f13(X84,X85))
% 0.62/0.73      | ~ p11(X82,X84)
% 0.62/0.73      | ~ p12(X83,X85) ) ).
% 0.62/0.73  
% 0.62/0.73  cnf(p4_46,negated_conjecture,
% 0.62/0.73      ( p4(f5(c31,X73),f5(c31,X74))
% 0.62/0.73      | ~ p27(f8(f10(c28,f13(c29,c30)),X73),X74) ) ).
% 0.62/0.73  
% 0.62/0.73  cnf(p4_47,negated_conjecture,
% 0.62/0.73      p4(f15(f17(c36,X62),f20(f26(c37,X63),X64)),f20(f26(c37,X63),f22(f24(c38,f17(c36,X62)),X64))) ).
% 0.62/0.73  
% 0.62/0.73  %--------------------------------------------------------------------------
% 0.62/0.73  %-------------------------------------------
% 0.62/0.73  % Proof found
% 0.62/0.73  % SZS status Theorem for theBenchmark
% 0.62/0.73  % SZS output start Proof
% 0.62/0.73  %ClaNum:47(EqnAxiom:0)
% 0.62/0.73  %VarNum:222(SingletonVarNum:111)
% 0.62/0.73  %MaxLitNum:4
% 0.62/0.73  %MaxfuncDepth:4
% 0.62/0.73  %SharedTerms:21
% 0.62/0.73  %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
% 0.62/0.73  %singleGoalClaCount:20
% 0.62/0.73  [16]P5(a1,f9(a8,a2))
% 0.62/0.73  [20]~P5(f9(a6,a7),f12(f11(a10,a6),a1))
% 0.62/0.73  [18]P16(f21(f14(a3,f13(a4,a5)),a2),a7)
% 0.62/0.73  [1]P1(x11,x11)
% 0.62/0.73  [2]P2(x21,x21)
% 0.62/0.73  [3]P3(x31,x31)
% 0.62/0.73  [4]P4(x41,x41)
% 0.62/0.73  [5]P5(x51,x51)
% 0.62/0.73  [6]P6(x61,x61)
% 0.62/0.73  [7]P7(x71,x71)
% 0.62/0.73  [8]P8(x81,x81)
% 0.62/0.73  [9]P9(x91,x91)
% 0.62/0.73  [10]P10(x101,x101)
% 0.62/0.73  [11]P11(x111,x111)
% 0.62/0.73  [12]P12(x121,x121)
% 0.62/0.73  [13]P13(x131,x131)
% 0.62/0.73  [14]P14(x141,x141)
% 0.62/0.73  [15]P15(x151,x151)
% 0.62/0.73  [17]P5(f12(f11(a10,x171),f9(a8,x172)),f9(x171,x172))
% 0.62/0.73  [19]P5(f12(f11(a10,x191),f18(f17(a15,x192),x193)),f18(f17(a15,x192),f20(f19(a16,f11(a10,x191)),x193)))
% 0.62/0.73  [47]P5(f9(a6,x471),f9(a6,x472))+~P16(f21(f14(a3,f13(a4,a5)),x471),x472)
% 0.62/0.73  [21]~P1(x213,x211)+P1(x211,x212)+~P1(x213,x212)
% 0.62/0.73  [22]~P2(x223,x221)+P2(x221,x222)+~P2(x223,x222)
% 0.62/0.73  [23]~P3(x233,x231)+P3(x231,x232)+~P3(x233,x232)
% 0.62/0.73  [24]~P4(x243,x241)+P4(x241,x242)+~P4(x243,x242)
% 0.62/0.73  [25]~P5(x253,x251)+P5(x251,x252)+~P5(x253,x252)
% 0.62/0.73  [26]~P6(x263,x261)+P6(x261,x262)+~P6(x263,x262)
% 0.62/0.73  [27]~P7(x273,x271)+P7(x271,x272)+~P7(x273,x272)
% 0.62/0.73  [28]~P8(x283,x281)+P8(x281,x282)+~P8(x283,x282)
% 0.62/0.73  [29]~P9(x293,x291)+P9(x291,x292)+~P9(x293,x292)
% 0.62/0.73  [30]~P10(x303,x301)+P10(x301,x302)+~P10(x303,x302)
% 0.62/0.73  [31]~P11(x313,x311)+P11(x311,x312)+~P11(x313,x312)
% 0.62/0.73  [32]~P12(x323,x321)+P12(x321,x322)+~P12(x323,x322)
% 0.62/0.73  [33]~P13(x333,x331)+P13(x331,x332)+~P13(x333,x332)
% 0.62/0.73  [34]~P14(x343,x341)+P14(x341,x342)+~P14(x343,x342)
% 0.62/0.73  [35]~P15(x353,x351)+P15(x351,x352)+~P15(x353,x352)
% 0.62/0.73  [37]~P4(x371,x373)+~P6(x372,x374)+P3(f21(x371,x372),f21(x373,x374))
% 0.62/0.73  [38]~P1(x381,x383)+~P15(x382,x384)+P4(f13(x381,x382),f13(x383,x384))
% 0.62/0.73  [39]~P2(x391,x393)+~P4(x392,x394)+P4(f14(x391,x392),f14(x393,x394))
% 0.62/0.73  [40]~P6(x402,x404)+~P10(x401,x403)+P5(f9(x401,x402),f9(x403,x404))
% 0.62/0.73  [41]~P5(x412,x414)+~P14(x411,x413)+P5(f12(x411,x412),f12(x413,x414))
% 0.62/0.73  [42]~P11(x422,x424)+~P12(x421,x423)+P5(f18(x421,x422),f18(x423,x424))
% 0.62/0.73  [43]~P8(x431,x433)+~P14(x432,x434)+P9(f19(x431,x432),f19(x433,x434))
% 0.62/0.73  [44]~P9(x441,x443)+~P11(x442,x444)+P11(f20(x441,x442),f20(x443,x444))
% 0.62/0.73  [45]~P6(x452,x454)+~P7(x451,x453)+P12(f17(x451,x452),f17(x453,x454))
% 0.62/0.73  [46]~P10(x462,x464)+~P13(x461,x463)+P14(f11(x461,x462),f11(x463,x464))
% 0.62/0.73  [36]~P16(x363,x364)+P16(x361,x362)+~P3(x363,x361)+~P6(x364,x362)
% 0.62/0.73  %EqnAxiom
% 0.62/0.73  
% 0.62/0.73  %-------------------------------------------
% 0.62/0.73  cnf(48,plain,
% 0.62/0.73     (P5(f9(a6,a2),f9(a6,a7))),
% 0.62/0.73     inference(scs_inference,[],[18,47])).
% 0.62/0.73  cnf(52,plain,
% 0.62/0.73     (P5(f12(x521,a1),f12(x521,f9(a8,a2)))),
% 0.62/0.73     inference(scs_inference,[],[14,16,20,18,17,47,25,41])).
% 0.62/0.73  cnf(63,plain,
% 0.62/0.73     (~P5(f9(a6,a2),f12(f11(a10,a6),a1))),
% 0.62/0.73     inference(scs_inference,[],[48,20,25])).
% 0.62/0.73  cnf(87,plain,
% 0.62/0.73     (P5(f12(x871,f9(a8,a2)),f12(x871,a1))),
% 0.62/0.73     inference(scs_inference,[],[52,5,25])).
% 0.62/0.73  cnf(108,plain,
% 0.62/0.73     ($false),
% 0.62/0.73     inference(scs_inference,[],[63,48,17,14,87,41,25]),
% 0.62/0.73     ['proof']).
% 0.62/0.73  % SZS output end Proof
% 0.62/0.73  % Total time :0.070000s
%------------------------------------------------------------------------------