TSTP Solution File: SYN618-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN618-1 : 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 : n015.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 01:46:38 EDT 2023

% Result   : Unsatisfiable 0.20s 0.74s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN618-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Aug 26 19:37:38 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 0.20/0.73  %-------------------------------------------
% 0.20/0.73  % File        :CSE---1.6
% 0.20/0.73  % Problem     :theBenchmark
% 0.20/0.73  % Transform   :cnf
% 0.20/0.73  % Format      :tptp:raw
% 0.20/0.73  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.73  
% 0.20/0.73  % Result      :Theorem 0.110000s
% 0.20/0.73  % Output      :CNFRefutation 0.110000s
% 0.20/0.73  %-------------------------------------------
% 0.20/0.73  %--------------------------------------------------------------------------
% 0.20/0.73  % File     : SYN618-1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.73  % Domain   : Syntactic
% 0.20/0.73  % Problem  : Harrison problem 3944
% 0.20/0.73  % Version  : Especial.
% 0.20/0.73  % English  :
% 0.20/0.73  
% 0.20/0.73  % Refs     : [Har01] Email to G. Sutcliffe
% 0.20/0.73  % Source   : [Har01]
% 0.20/0.73  % Names    :
% 0.20/0.73  
% 0.20/0.73  % Status   : Unsatisfiable
% 0.20/0.73  % Rating   : 0.00 v5.3.0, 0.05 v5.2.0, 0.00 v2.5.0
% 0.20/0.73  % Syntax   : Number of clauses     :   33 (  16 unt;   0 nHn;  28 RR)
% 0.20/0.73  %            Number of literals    :   72 (   0 equ;  40 neg)
% 0.20/0.73  %            Maximal clause size   :    5 (   2 avg)
% 0.20/0.73  %            Maximal term depth    :    3 (   1 avg)
% 0.20/0.73  %            Number of predicates  :   10 (  10 usr;   0 prp; 1-3 aty)
% 0.20/0.73  %            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
% 0.20/0.73  %            Number of variables   :   53 (   0 sgn)
% 0.20/0.73  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.20/0.73  
% 0.20/0.73  % Comments :
% 0.20/0.73  %--------------------------------------------------------------------------
% 0.20/0.73  cnf(c16_is_p9_1,negated_conjecture,
% 0.20/0.73      p9(c16) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p10_2,negated_conjecture,
% 0.20/0.73      p10(X0,X0) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p5_3,negated_conjecture,
% 0.20/0.73      p5(X34,X34) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p4_4,negated_conjecture,
% 0.20/0.73      p4(X29,X29) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p2_5,negated_conjecture,
% 0.20/0.73      p2(X24,X24) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p14_6,negated_conjecture,
% 0.20/0.73      p14(X17,X17) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p12_7,negated_conjecture,
% 0.20/0.73      p12(c19,c20) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p13_8,negated_conjecture,
% 0.20/0.73      p13(c23,c21) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p13_9,negated_conjecture,
% 0.20/0.73      p13(c19,c23) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p13_10,negated_conjecture,
% 0.20/0.73      p13(c19,c21) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p12_11,negated_conjecture,
% 0.20/0.73      p12(c20,c21) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p2_12,negated_conjecture,
% 0.20/0.73      p2(c17,f3(c16)) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p11_13,negated_conjecture,
% 0.20/0.73      p11(c16,c17,c18) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p5_14,negated_conjecture,
% 0.20/0.73      p5(f8(c16,c20),f6(f7(c22))) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p9_15,negated_conjecture,
% 0.20/0.73      ( p9(X44)
% 0.20/0.73      | ~ p9(X45)
% 0.20/0.73      | ~ p2(X45,X44) ) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p5_16,negated_conjecture,
% 0.20/0.73      p5(f8(f3(c16),c23),f6(f7(c22))) ).
% 0.20/0.73  
% 0.20/0.73  cnf(not_p5_17,negated_conjecture,
% 0.20/0.73      ~ p5(f8(f3(c16),c20),f6(f7(c22))) ).
% 0.20/0.73  
% 0.20/0.73  cnf(p5_18,negated_conjecture,
% 0.20/0.73      ( p5(f6(X38),f6(X39))
% 0.20/0.73      | ~ p4(X38,X39) ) ).
% 0.20/0.73  
% 0.20/0.74  cnf(p2_19,negated_conjecture,
% 0.20/0.74      ( p2(f3(X27),f3(X28))
% 0.20/0.74      | ~ p2(X27,X28) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p4_20,negated_conjecture,
% 0.20/0.74      ( p4(f7(X32),f7(X33))
% 0.20/0.74      | ~ p4(X32,X33) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p10_21,negated_conjecture,
% 0.20/0.74      ( p10(X1,X2)
% 0.20/0.74      | ~ p10(X0,X1)
% 0.20/0.74      | ~ p10(X0,X2) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p5_22,negated_conjecture,
% 0.20/0.74      ( p5(X35,X36)
% 0.20/0.74      | ~ p5(X34,X35)
% 0.20/0.74      | ~ p5(X34,X36) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p4_23,negated_conjecture,
% 0.20/0.74      ( p4(X30,X31)
% 0.20/0.74      | ~ p4(X29,X30)
% 0.20/0.74      | ~ p4(X29,X31) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p2_24,negated_conjecture,
% 0.20/0.74      ( p2(X25,X26)
% 0.20/0.74      | ~ p2(X24,X25)
% 0.20/0.74      | ~ p2(X24,X26) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p14_25,negated_conjecture,
% 0.20/0.74      ( p14(X18,X19)
% 0.20/0.74      | ~ p14(X17,X18)
% 0.20/0.74      | ~ p14(X17,X19) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p12_26,negated_conjecture,
% 0.20/0.74      ( p12(X9,X10)
% 0.20/0.74      | ~ p5(X11,X9)
% 0.20/0.74      | ~ p5(X12,X10)
% 0.20/0.74      | ~ p12(X11,X12) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p15_27,negated_conjecture,
% 0.20/0.74      ( p15(X20,X21)
% 0.20/0.74      | ~ p14(X23,X20)
% 0.20/0.74      | ~ p15(X23,X22)
% 0.20/0.74      | ~ p10(X22,X21) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p13_28,negated_conjecture,
% 0.20/0.74      ( p13(X13,X14)
% 0.20/0.74      | ~ p5(X15,X13)
% 0.20/0.74      | ~ p5(X16,X14)
% 0.20/0.74      | ~ p13(X15,X16) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p5_29,negated_conjecture,
% 0.20/0.74      ( p5(X37,c20)
% 0.20/0.74      | ~ p13(X37,c21)
% 0.20/0.74      | ~ p13(c19,X37)
% 0.20/0.74      | ~ p15(c24,c18) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p5_30,negated_conjecture,
% 0.20/0.74      ( p5(f8(X40,X41),f8(X42,X43))
% 0.20/0.74      | ~ p2(X40,X42)
% 0.20/0.74      | ~ p5(X41,X43) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p5_31,negated_conjecture,
% 0.20/0.74      ( p5(X37,c20)
% 0.20/0.74      | ~ p13(X37,c21)
% 0.20/0.74      | ~ p13(c19,X37)
% 0.20/0.74      | ~ p5(f8(c17,X37),f6(f7(c22))) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p5_32,negated_conjecture,
% 0.20/0.74      ( p5(X37,c20)
% 0.20/0.74      | ~ p13(X37,c21)
% 0.20/0.74      | ~ p13(c19,X37)
% 0.20/0.74      | ~ p5(f8(c16,X37),f6(f7(c22))) ) ).
% 0.20/0.74  
% 0.20/0.74  cnf(p11_33,negated_conjecture,
% 0.20/0.74      ( p11(X3,X4,X5)
% 0.20/0.74      | ~ p2(X8,X4)
% 0.20/0.74      | ~ p2(X7,X3)
% 0.20/0.74      | ~ p10(X6,X5)
% 0.20/0.74      | ~ p11(X7,X8,X6) ) ).
% 0.20/0.74  
% 0.20/0.74  %--------------------------------------------------------------------------
% 0.20/0.74  %-------------------------------------------
% 0.20/0.74  % Proof found
% 0.20/0.74  % SZS status Theorem for theBenchmark
% 0.20/0.74  % SZS output start Proof
% 0.20/0.74  %ClaNum:33(EqnAxiom:0)
% 0.20/0.74  %VarNum:111(SingletonVarNum:53)
% 0.20/0.74  %MaxLitNum:5
% 0.20/0.74  %MaxfuncDepth:2
% 0.20/0.74  %SharedTerms:27
% 0.20/0.74  %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
% 0.20/0.74  %singleGoalClaCount:16
% 0.20/0.74  [1]P1(a1)
% 0.20/0.74  [2]P2(a2,a5)
% 0.20/0.74  [3]P2(a5,a6)
% 0.20/0.74  [4]P5(a2,a7)
% 0.20/0.74  [5]P5(a2,a6)
% 0.20/0.74  [6]P5(a7,a6)
% 0.20/0.74  [14]P4(a1,a3,a4)
% 0.20/0.74  [12]P8(a3,f9(a1))
% 0.20/0.74  [13]P6(f11(a1,a5),f13(f12(a8)))
% 0.20/0.74  [15]P6(f11(f9(a1),a7),f13(f12(a8)))
% 0.20/0.74  [16]~P6(f11(f9(a1),a5),f13(f12(a8)))
% 0.20/0.74  [7]P3(x71,x71)
% 0.20/0.74  [8]P6(x81,x81)
% 0.20/0.74  [9]P7(x91,x91)
% 0.20/0.74  [10]P8(x101,x101)
% 0.20/0.74  [11]P9(x111,x111)
% 0.20/0.74  [18]~P7(x181,x182)+P6(f13(x181),f13(x182))
% 0.20/0.74  [19]~P7(x191,x192)+P7(f12(x191),f12(x192))
% 0.20/0.74  [20]~P8(x201,x202)+P8(f9(x201),f9(x202))
% 0.20/0.74  [17]~P8(x172,x171)+P1(x171)+~P1(x172)
% 0.20/0.74  [21]~P3(x213,x211)+P3(x211,x212)+~P3(x213,x212)
% 0.20/0.74  [22]~P6(x223,x221)+P6(x221,x222)+~P6(x223,x222)
% 0.20/0.74  [23]~P7(x233,x231)+P7(x231,x232)+~P7(x233,x232)
% 0.20/0.74  [24]~P8(x243,x241)+P8(x241,x242)+~P8(x243,x242)
% 0.20/0.74  [25]~P9(x253,x251)+P9(x251,x252)+~P9(x253,x252)
% 0.20/0.74  [30]~P6(x302,x304)+~P8(x301,x303)+P6(f11(x301,x302),f11(x303,x304))
% 0.20/0.74  [26]~P5(x261,a6)+~P5(a2,x261)+P6(x261,a5)+~P10(a10,a4)
% 0.20/0.74  [31]~P5(x311,a6)+~P5(a2,x311)+P6(x311,a5)+~P6(f11(a1,x311),f13(f12(a8)))
% 0.20/0.74  [32]~P5(x321,a6)+~P5(a2,x321)+P6(x321,a5)+~P6(f11(a3,x321),f13(f12(a8)))
% 0.20/0.74  [27]~P2(x274,x273)+P2(x271,x272)+~P6(x273,x272)+~P6(x274,x271)
% 0.20/0.74  [28]~P5(x284,x283)+P5(x281,x282)+~P6(x283,x282)+~P6(x284,x281)
% 0.20/0.74  [29]~P10(x294,x293)+P10(x291,x292)+~P3(x293,x292)+~P9(x294,x291)
% 0.20/0.74  [33]~P4(x335,x336,x334)+P4(x331,x332,x333)+~P3(x334,x333)+~P8(x335,x331)+~P8(x336,x332)
% 0.20/0.74  %EqnAxiom
% 0.20/0.74  
% 0.20/0.74  %-------------------------------------------
% 0.20/0.74  cnf(34,plain,
% 0.20/0.74     (P8(f9(a3),f9(f9(a1)))),
% 0.20/0.74     inference(scs_inference,[],[12,20])).
% 0.20/0.74  cnf(37,plain,
% 0.20/0.74     (P6(x371,x371)),
% 0.20/0.74     inference(rename_variables,[],[8])).
% 0.20/0.74  cnf(41,plain,
% 0.20/0.74     (P10(x411,x412)+P6(f11(a3,x413),f11(f9(a1),x413))),
% 0.20/0.74     inference(scs_inference,[],[7,8,37,11,12,16,20,29,22,17,30])).
% 0.20/0.74  cnf(68,plain,
% 0.20/0.74     (P6(f11(a3,x681),f11(f9(a1),x681))+P6(a7,a5)),
% 0.20/0.74     inference(scs_inference,[],[34,6,4,10,24,26,41])).
% 0.20/0.74  cnf(92,plain,
% 0.20/0.74     (~P6(a7,a5)),
% 0.20/0.74     inference(scs_inference,[],[5,16,15,34,10,7,22,33,32,31,27,30])).
% 0.20/0.74  cnf(96,plain,
% 0.20/0.74     (P6(f11(a3,x961),f11(f9(a1),x961))),
% 0.20/0.74     inference(scs_inference,[],[92,68])).
% 0.20/0.74  cnf(101,plain,
% 0.20/0.74     (~P6(f11(a3,a7),f13(f12(a8)))),
% 0.20/0.74     inference(scs_inference,[],[6,4,92,32])).
% 0.20/0.74  cnf(180,plain,
% 0.20/0.74     (P6(f11(f9(a1),x1801),f11(a3,x1801))),
% 0.20/0.74     inference(scs_inference,[],[96,8,22])).
% 0.20/0.74  cnf(185,plain,
% 0.20/0.74     ($false),
% 0.20/0.74     inference(scs_inference,[],[15,101,180,22]),
% 0.20/0.74     ['proof']).
% 0.20/0.74  % SZS output end Proof
% 0.20/0.74  % Total time :0.110000s
%------------------------------------------------------------------------------