TSTP Solution File: SYN613-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN613-1 : 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 : n027.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 01:46:37 EDT 2023

% Result   : Unsatisfiable 0.21s 0.65s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN613-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 21:40:05 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.58  start to proof:theBenchmark
% 0.21/0.64  %-------------------------------------------
% 0.21/0.64  % File        :CSE---1.6
% 0.21/0.64  % Problem     :theBenchmark
% 0.21/0.64  % Transform   :cnf
% 0.21/0.64  % Format      :tptp:raw
% 0.21/0.64  % Command     :java -jar mcs_scs.jar %d %s
% 0.21/0.64  
% 0.21/0.64  % Result      :Theorem 0.010000s
% 0.21/0.64  % Output      :CNFRefutation 0.010000s
% 0.21/0.64  %-------------------------------------------
% 0.21/0.65  %--------------------------------------------------------------------------
% 0.21/0.65  % File     : SYN613-1 : TPTP v8.1.2. Released v2.5.0.
% 0.21/0.65  % Domain   : Syntactic
% 0.21/0.65  % Problem  : Harrison problem 3862
% 0.21/0.65  % Version  : Especial.
% 0.21/0.65  % English  :
% 0.21/0.65  
% 0.21/0.65  % Refs     : [Har01] Email to G. Sutcliffe
% 0.21/0.65  % Source   : [Har01]
% 0.21/0.65  % Names    :
% 0.21/0.65  
% 0.21/0.65  % Status   : Unsatisfiable
% 0.21/0.65  % Rating   : 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v2.5.0
% 0.21/0.65  % Syntax   : Number of clauses     :   31 (  10 unt;   1 nHn;  25 RR)
% 0.21/0.65  %            Number of literals    :   70 (   0 equ;  39 neg)
% 0.21/0.65  %            Maximal clause size   :    5 (   2 avg)
% 0.21/0.65  %            Maximal term depth    :    5 (   1 avg)
% 0.21/0.65  %            Number of predicates  :    8 (   8 usr;   0 prp; 2-3 aty)
% 0.21/0.65  %            Number of functors    :   16 (  16 usr;   7 con; 0-2 aty)
% 0.21/0.65  %            Number of variables   :   62 (   0 sgn)
% 0.21/0.65  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.21/0.65  
% 0.21/0.65  % Comments :
% 0.21/0.65  %--------------------------------------------------------------------------
% 0.21/0.65  cnf(p11_1,negated_conjecture,
% 0.21/0.65      p11(X0,X0) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p6_2,negated_conjecture,
% 0.21/0.65      p6(X48,X48) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p5_3,negated_conjecture,
% 0.21/0.65      p5(X41,X41) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p3_4,negated_conjecture,
% 0.21/0.65      p3(X36,X36) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p2_5,negated_conjecture,
% 0.21/0.65      p2(X29,X29) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p16_6,negated_conjecture,
% 0.21/0.65      p16(X14,X14) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p11_7,negated_conjecture,
% 0.21/0.65      p11(c23,f12(f9(c21))) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p11_8,negated_conjecture,
% 0.21/0.65      p11(c24,f12(f9(c21))) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p5_9,negated_conjecture,
% 0.21/0.65      ( p5(f9(X46),f9(X47))
% 0.21/0.65      | ~ p5(X46,X47) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p11_10,negated_conjecture,
% 0.21/0.65      ( p11(f12(X3),f12(X4))
% 0.21/0.65      | ~ p5(X3,X4) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p11_11,negated_conjecture,
% 0.21/0.65      ( p11(f13(X5),f13(X6))
% 0.21/0.65      | ~ p11(X5,X6) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p11_12,negated_conjecture,
% 0.21/0.65      ( p11(f15(X11),f15(X12))
% 0.21/0.65      | ~ p11(X11,X12) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p3_13,negated_conjecture,
% 0.21/0.65      ( p3(f4(X39),f4(X40))
% 0.21/0.65      | ~ p2(X39,X40) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p5_14,negated_conjecture,
% 0.21/0.65      ( p5(f10(X44),f10(X45))
% 0.21/0.65      | ~ p2(X44,X45) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p11_15,negated_conjecture,
% 0.21/0.65      ( p11(X1,X2)
% 0.21/0.65      | ~ p11(X0,X1)
% 0.21/0.65      | ~ p11(X0,X2) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p6_16,negated_conjecture,
% 0.21/0.65      ( p6(X49,X50)
% 0.21/0.65      | ~ p6(X48,X49)
% 0.21/0.65      | ~ p6(X48,X50) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p5_17,negated_conjecture,
% 0.21/0.65      ( p5(X42,X43)
% 0.21/0.65      | ~ p5(X41,X42)
% 0.21/0.65      | ~ p5(X41,X43) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p3_18,negated_conjecture,
% 0.21/0.65      ( p3(X37,X38)
% 0.21/0.65      | ~ p3(X36,X37)
% 0.21/0.65      | ~ p3(X36,X38) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p2_19,negated_conjecture,
% 0.21/0.65      ( p2(X30,X31)
% 0.21/0.65      | ~ p2(X29,X30)
% 0.21/0.65      | ~ p2(X29,X31) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p16_20,negated_conjecture,
% 0.21/0.65      ( p16(X15,X16)
% 0.21/0.65      | ~ p16(X14,X15)
% 0.21/0.65      | ~ p16(X14,X16) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p17_21,negated_conjecture,
% 0.21/0.65      p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24) ).
% 0.21/0.65  
% 0.21/0.65  cnf(not_p17_22,negated_conjecture,
% 0.21/0.65      ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p18_23,negated_conjecture,
% 0.21/0.65      ( p18(X23,X24)
% 0.21/0.65      | ~ p11(X26,X24)
% 0.21/0.65      | ~ p18(X25,X26)
% 0.21/0.65      | ~ p11(X25,X23) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p11_24,negated_conjecture,
% 0.21/0.65      ( p11(f14(X7,X8),f14(X9,X10))
% 0.21/0.65      | ~ p11(X7,X9)
% 0.21/0.65      | ~ p11(X8,X10) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p6_25,negated_conjecture,
% 0.21/0.65      ( p6(f8(X51,X52),f8(X53,X54))
% 0.21/0.65      | ~ p5(X51,X53)
% 0.21/0.65      | ~ p5(X52,X54) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p2_26,negated_conjecture,
% 0.21/0.65      ( p2(f7(X32,X33),f7(X34,X35))
% 0.21/0.65      | ~ p5(X32,X34)
% 0.21/0.65      | ~ p6(X33,X35) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p18_27,negated_conjecture,
% 0.21/0.65      ( p18(f13(f14(X28,c25)),f13(f14(c23,c25)))
% 0.21/0.65      | ~ p11(X28,f12(f9(c21))) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p18_28,negated_conjecture,
% 0.21/0.65      ( p18(f13(f14(X27,c25)),f13(f14(c24,c25)))
% 0.21/0.65      | ~ p11(X27,f12(f9(c21))) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p17_29,negated_conjecture,
% 0.21/0.65      ( p17(X17,X18,X19)
% 0.21/0.65      | ~ p3(X22,X18)
% 0.21/0.65      | ~ p16(X21,X17)
% 0.21/0.65      | ~ p11(X20,X19)
% 0.21/0.65      | ~ p17(X21,X22,X20) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p17_30,negated_conjecture,
% 0.21/0.65      ( p17(c19,f4(c20),c23)
% 0.21/0.65      | p11(f15(X13),f12(f9(c21)))
% 0.21/0.65      | ~ p11(X13,f12(f9(c21)))
% 0.21/0.65      | ~ p17(c19,f4(c20),X13) ) ).
% 0.21/0.65  
% 0.21/0.65  cnf(p17_31,negated_conjecture,
% 0.21/0.65      ( p17(c19,f4(c20),c23)
% 0.21/0.65      | ~ p11(X13,f12(f9(c21)))
% 0.21/0.65      | ~ p17(c19,f4(c20),X13)
% 0.21/0.65      | ~ p18(f13(f14(f15(X13),c25)),f13(f14(X13,c25))) ) ).
% 0.21/0.65  
% 0.21/0.65  %--------------------------------------------------------------------------
% 0.21/0.65  %-------------------------------------------
% 0.21/0.65  % Proof found
% 0.21/0.65  % SZS status Theorem for theBenchmark
% 0.21/0.65  % SZS output start Proof
% 0.21/0.65  %ClaNum:31(EqnAxiom:0)
% 0.21/0.65  %VarNum:127(SingletonVarNum:62)
% 0.21/0.65  %MaxLitNum:5
% 0.21/0.65  %MaxfuncDepth:4
% 0.21/0.65  %SharedTerms:23
% 0.21/0.65  %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 28 29 30 31
% 0.21/0.65  %singleGoalClaCount:10
% 0.21/0.65  [7]P1(a1,f7(f6(a2)))
% 0.21/0.65  [8]P1(a8,f7(f6(a2)))
% 0.21/0.65  [9]P7(a3,f13(f12(f9(a4),f11(f6(a2),a5))),a8)
% 0.21/0.65  [10]~P7(a3,f13(f12(f9(a4),f11(f6(a2),a5))),a1)
% 0.21/0.65  [1]P1(x11,x11)
% 0.21/0.65  [2]P2(x21,x21)
% 0.21/0.65  [3]P3(x31,x31)
% 0.21/0.65  [4]P4(x41,x41)
% 0.21/0.65  [5]P5(x51,x51)
% 0.21/0.65  [6]P6(x61,x61)
% 0.21/0.65  [27]~P1(x271,f7(f6(a2)))+P8(f14(f16(x271,a10)),f14(f16(a1,a10)))
% 0.21/0.65  [28]~P1(x281,f7(f6(a2)))+P8(f14(f16(x281,a10)),f14(f16(a8,a10)))
% 0.21/0.65  [11]~P3(x111,x112)+P1(f7(x111),f7(x112))
% 0.21/0.65  [12]~P1(x121,x122)+P1(f14(x121),f14(x122))
% 0.21/0.65  [13]~P1(x131,x132)+P1(f15(x131),f15(x132))
% 0.21/0.65  [14]~P3(x141,x142)+P3(f6(x141),f6(x142))
% 0.21/0.65  [15]~P5(x151,x152)+P3(f9(x151),f9(x152))
% 0.21/0.65  [16]~P5(x161,x162)+P4(f13(x161),f13(x162))
% 0.21/0.65  [17]~P1(x173,x171)+P1(x171,x172)+~P1(x173,x172)
% 0.21/0.65  [18]~P2(x183,x181)+P2(x181,x182)+~P2(x183,x182)
% 0.21/0.65  [19]~P3(x193,x191)+P3(x191,x192)+~P3(x193,x192)
% 0.21/0.65  [20]~P4(x203,x201)+P4(x201,x202)+~P4(x203,x202)
% 0.21/0.65  [21]~P5(x213,x211)+P5(x211,x212)+~P5(x213,x212)
% 0.21/0.65  [22]~P6(x223,x221)+P6(x221,x222)+~P6(x223,x222)
% 0.21/0.65  [24]~P1(x242,x244)+~P1(x241,x243)+P1(f16(x241,x242),f16(x243,x244))
% 0.21/0.65  [25]~P3(x252,x254)+~P3(x251,x253)+P2(f11(x251,x252),f11(x253,x254))
% 0.21/0.65  [26]~P2(x262,x264)+~P3(x261,x263)+P5(f12(x261,x262),f12(x263,x264))
% 0.21/0.65  [30]~P7(a3,f13(a4),x301)+~P1(x301,f7(f6(a2)))+P1(f15(x301),f7(f6(a2)))+P7(a3,f13(a4),a1)
% 0.21/0.65  [31]P7(a3,f13(a4),a1)+~P7(a3,f13(a4),x311)+~P1(x311,f7(f6(a2)))+~P8(f14(f16(f15(x311),a10)),f14(f16(x311,a10)))
% 0.21/0.65  [23]~P8(x233,x234)+P8(x231,x232)+~P1(x233,x231)+~P1(x234,x232)
% 0.21/0.65  [29]~P7(x296,x295,x294)+P7(x291,x292,x293)+~P1(x294,x293)+~P4(x295,x292)+~P6(x296,x291)
% 0.21/0.65  %EqnAxiom
% 0.21/0.65  
% 0.21/0.65  %-------------------------------------------
% 0.21/0.66  cnf(32,plain,
% 0.21/0.66     (P7(a3,f13(f12(f9(a4),f11(f6(a2),a5))),f7(f6(a2)))),
% 0.21/0.66     inference(scs_inference,[],[4,6,8,9,29])).
% 0.21/0.66  cnf(67,plain,
% 0.21/0.66     ($false),
% 0.21/0.66     inference(scs_inference,[],[32,10,4,6,7,1,17,29]),
% 0.21/0.66     ['proof']).
% 0.21/0.66  % SZS output end Proof
% 0.21/0.66  % Total time :0.010000s
%------------------------------------------------------------------------------