TSTP Solution File: SYN581-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN581-1 : 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 : n005.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 01:46:29 EDT 2023

% Result   : Unsatisfiable 0.67s 0.72s
% Output   : CNFRefutation 0.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN581-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n005.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 18:54:08 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 0.030000s
% 0.20/0.71  % Output      :CNFRefutation 0.030000s
% 0.20/0.71  %-------------------------------------------
% 0.67/0.72  %--------------------------------------------------------------------------
% 0.67/0.72  % File     : SYN581-1 : TPTP v8.1.2. Released v2.5.0.
% 0.67/0.72  % Domain   : Syntactic
% 0.67/0.72  % Problem  : Harrison problem 3466
% 0.67/0.72  % Version  : Especial.
% 0.67/0.72  % English  :
% 0.67/0.72  
% 0.67/0.72  % Refs     : [Har01] Email to G. Sutcliffe
% 0.67/0.72  % Source   : [Har01]
% 0.67/0.72  % Names    :
% 0.67/0.72  
% 0.67/0.72  % Status   : Unsatisfiable
% 0.67/0.72  % Rating   : 0.00 v2.5.0
% 0.67/0.72  % Syntax   : Number of clauses     :   25 (   9 unt;   1 nHn;  22 RR)
% 0.67/0.72  %            Number of literals    :   56 (   0 equ;  31 neg)
% 0.67/0.72  %            Maximal clause size   :    5 (   2 avg)
% 0.67/0.72  %            Maximal term depth    :    3 (   1 avg)
% 0.67/0.72  %            Number of predicates  :    6 (   6 usr;   0 prp; 2-3 aty)
% 0.67/0.72  %            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
% 0.67/0.72  %            Number of variables   :   46 (   0 sgn)
% 0.67/0.72  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.67/0.72  
% 0.67/0.72  % Comments :
% 0.67/0.72  %--------------------------------------------------------------------------
% 0.67/0.72  cnf(p7_1,negated_conjecture,
% 0.67/0.72      p7(X34,X34) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p2_2,negated_conjecture,
% 0.67/0.72      p2(X18,X18) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p5_3,negated_conjecture,
% 0.67/0.72      p5(X31,X31) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p12_4,negated_conjecture,
% 0.67/0.72      p12(c13,c18) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p2_5,negated_conjecture,
% 0.67/0.72      p2(c18,c14) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p2_6,negated_conjecture,
% 0.67/0.72      p2(f3(c18),f8(f9(c17))) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p11_7,negated_conjecture,
% 0.67/0.72      p11(f4(f6(c15,c13)),c16) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p11_8,negated_conjecture,
% 0.67/0.72      p11(f4(f6(c15,c14)),c16) ).
% 0.67/0.72  
% 0.67/0.72  cnf(not_p11_9,negated_conjecture,
% 0.67/0.72      ~ p11(f4(f6(c15,c18)),c16) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p11_10,negated_conjecture,
% 0.67/0.72      ( p11(X11,X12)
% 0.67/0.72      | ~ p12(X11,X12) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p11_11,negated_conjecture,
% 0.67/0.72      ( p11(X11,X12)
% 0.67/0.72      | ~ p2(X11,X12) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p7_12,negated_conjecture,
% 0.67/0.72      ( p7(f9(X37),f9(X38))
% 0.67/0.72      | ~ p7(X37,X38) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p2_13,negated_conjecture,
% 0.67/0.72      ( p2(f3(X21),f3(X22))
% 0.67/0.72      | ~ p2(X21,X22) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p2_14,negated_conjecture,
% 0.67/0.72      ( p2(f4(X23),f4(X24))
% 0.67/0.72      | ~ p2(X23,X24) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p2_15,negated_conjecture,
% 0.67/0.72      ( p2(f8(X29),f8(X30))
% 0.67/0.72      | ~ p7(X29,X30) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p12_16,negated_conjecture,
% 0.67/0.72      ( p12(X11,X12)
% 0.67/0.72      | p2(X11,X12)
% 0.67/0.72      | ~ p11(X11,X12) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p7_17,negated_conjecture,
% 0.67/0.72      ( p7(X35,X36)
% 0.67/0.72      | ~ p7(X34,X35)
% 0.67/0.72      | ~ p7(X34,X36) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p2_18,negated_conjecture,
% 0.67/0.72      ( p2(X19,X20)
% 0.67/0.72      | ~ p2(X18,X19)
% 0.67/0.72      | ~ p2(X18,X20) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p5_19,negated_conjecture,
% 0.67/0.72      ( p5(X32,X33)
% 0.67/0.72      | ~ p5(X31,X32)
% 0.67/0.72      | ~ p5(X31,X33) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p10_20,negated_conjecture,
% 0.67/0.72      ( p10(c15,f3(X6),X6)
% 0.67/0.72      | ~ p11(X6,c14)
% 0.67/0.72      | ~ p11(c13,X6) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p11_21,negated_conjecture,
% 0.67/0.72      ( p11(X7,X8)
% 0.67/0.72      | ~ p2(X9,X7)
% 0.67/0.72      | ~ p2(X10,X8)
% 0.67/0.72      | ~ p11(X9,X10) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p12_22,negated_conjecture,
% 0.67/0.72      ( p12(X14,X15)
% 0.67/0.72      | ~ p2(X16,X14)
% 0.67/0.72      | ~ p2(X17,X15)
% 0.67/0.72      | ~ p12(X16,X17) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p2_23,negated_conjecture,
% 0.67/0.72      ( p2(f6(X25,X26),f6(X27,X28))
% 0.67/0.72      | ~ p2(X26,X28)
% 0.67/0.72      | ~ p5(X25,X27) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p10_24,negated_conjecture,
% 0.67/0.72      ( p10(X0,X1,X2)
% 0.67/0.72      | ~ p5(X3,X0)
% 0.67/0.72      | ~ p2(X5,X2)
% 0.67/0.72      | ~ p2(X4,X1)
% 0.67/0.72      | ~ p10(X3,X4,X5) ) ).
% 0.67/0.72  
% 0.67/0.72  cnf(p11_25,negated_conjecture,
% 0.67/0.72      ( p11(f4(f6(c15,X13)),c16)
% 0.67/0.72      | ~ p12(X13,c14)
% 0.67/0.72      | ~ p12(c13,X13)
% 0.67/0.72      | ~ p2(f3(X13),f8(f9(c17))) ) ).
% 0.67/0.72  
% 0.67/0.72  %--------------------------------------------------------------------------
% 0.67/0.72  %-------------------------------------------
% 0.67/0.72  % Proof found
% 0.67/0.72  % SZS status Theorem for theBenchmark
% 0.67/0.72  % SZS output start Proof
% 0.67/0.72  %ClaNum:25(EqnAxiom:0)
% 0.67/0.72  %VarNum:98(SingletonVarNum:46)
% 0.67/0.72  %MaxLitNum:5
% 0.67/0.72  %MaxfuncDepth:2
% 0.67/0.72  %SharedTerms:21
% 0.67/0.72  %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
% 0.67/0.72  %singleGoalClaCount:9
% 0.67/0.72  [1]P1(a1,a2)
% 0.67/0.72  [2]P2(a3,a1)
% 0.67/0.72  [6]P1(f7(a1),f9(f8(a4)))
% 0.67/0.72  [7]P3(f11(f10(a5,a3)),a6)
% 0.67/0.72  [8]P3(f11(f10(a5,a2)),a6)
% 0.67/0.72  [9]~P3(f11(f10(a5,a1)),a6)
% 0.67/0.72  [3]P5(x31,x31)
% 0.67/0.72  [4]P1(x41,x41)
% 0.67/0.72  [5]P6(x51,x51)
% 0.67/0.72  [10]~P1(x101,x102)+P3(x101,x102)
% 0.67/0.72  [11]~P2(x111,x112)+P3(x111,x112)
% 0.67/0.72  [12]~P5(x121,x122)+P5(f8(x121),f8(x122))
% 0.67/0.72  [13]~P1(x131,x132)+P1(f7(x131),f7(x132))
% 0.67/0.72  [14]~P5(x141,x142)+P1(f9(x141),f9(x142))
% 0.67/0.72  [15]~P1(x151,x152)+P1(f11(x151),f11(x152))
% 0.67/0.72  [22]~P3(x221,a2)+~P3(a3,x221)+P4(a5,f7(x221),x221)
% 0.67/0.72  [16]P2(x161,x162)+~P3(x161,x162)+P1(x161,x162)
% 0.67/0.72  [17]~P5(x173,x171)+P5(x171,x172)+~P5(x173,x172)
% 0.67/0.72  [18]~P1(x183,x181)+P1(x181,x182)+~P1(x183,x182)
% 0.67/0.72  [19]~P6(x193,x191)+P6(x191,x192)+~P6(x193,x192)
% 0.67/0.72  [23]~P1(x232,x234)+~P6(x231,x233)+P1(f10(x231,x232),f10(x233,x234))
% 0.67/0.72  [24]~P2(x241,a2)+~P2(a3,x241)+~P1(f7(x241),f9(f8(a4)))+P3(f11(f10(a5,x241)),a6)
% 0.67/0.72  [20]~P2(x204,x203)+P2(x201,x202)+~P1(x203,x202)+~P1(x204,x201)
% 0.67/0.72  [21]~P3(x214,x213)+P3(x211,x212)+~P1(x213,x212)+~P1(x214,x211)
% 0.67/0.72  [25]~P4(x256,x254,x255)+P4(x251,x252,x253)+~P1(x254,x252)+~P1(x255,x253)+~P6(x256,x251)
% 0.67/0.72  %EqnAxiom
% 0.67/0.72  
% 0.67/0.72  %-------------------------------------------
% 0.67/0.72  cnf(27,plain,
% 0.67/0.72     (~P1(f11(f10(a5,a1)),a6)),
% 0.67/0.72     inference(scs_inference,[],[9,11,10])).
% 0.67/0.72  cnf(28,plain,
% 0.67/0.72     (P1(a2,a1)),
% 0.67/0.72     inference(scs_inference,[],[1,4,9,11,10,18])).
% 0.67/0.72  cnf(29,plain,
% 0.67/0.72     (P1(x291,x291)),
% 0.67/0.72     inference(rename_variables,[],[4])).
% 0.67/0.72  cnf(31,plain,
% 0.67/0.72     (~P2(a1,a2)),
% 0.67/0.72     inference(scs_inference,[],[1,4,2,9,6,11,10,18,24])).
% 0.67/0.72  cnf(33,plain,
% 0.67/0.72     (P1(f11(a1),f11(a2))),
% 0.67/0.72     inference(scs_inference,[],[1,4,2,9,6,11,10,18,24,15])).
% 0.67/0.72  cnf(37,plain,
% 0.67/0.72     (P1(f10(x371,a1),f10(x371,a2))),
% 0.67/0.72     inference(scs_inference,[],[1,4,5,2,9,6,11,10,18,24,15,13,23])).
% 0.67/0.72  cnf(41,plain,
% 0.67/0.72     (P2(a3,a2)),
% 0.67/0.72     inference(scs_inference,[],[1,4,29,5,2,9,6,11,10,18,24,15,13,23,21,20])).
% 0.67/0.72  cnf(48,plain,
% 0.67/0.72     (~P1(f11(f10(a5,a3)),f11(f10(a5,a1)))),
% 0.67/0.72     inference(scs_inference,[],[1,7,4,9,10,21])).
% 0.67/0.72  cnf(55,plain,
% 0.67/0.72     (P4(a5,f7(a1),a1)),
% 0.67/0.72     inference(scs_inference,[],[1,7,4,2,9,10,21,11,15,22])).
% 0.67/0.72  cnf(67,plain,
% 0.67/0.72     (~P1(f11(f10(a5,a2)),f11(f10(a5,a1)))),
% 0.67/0.72     inference(scs_inference,[],[8,4,9,21])).
% 0.67/0.72  cnf(68,plain,
% 0.67/0.72     (P1(x681,x681)),
% 0.67/0.72     inference(rename_variables,[],[4])).
% 0.67/0.72  cnf(70,plain,
% 0.67/0.72     (P4(a5,f9(f8(a4)),a1)),
% 0.67/0.72     inference(scs_inference,[],[8,6,4,68,5,9,55,21,25])).
% 0.67/0.72  cnf(78,plain,
% 0.67/0.72     (P3(f7(a1),f9(f8(a4)))),
% 0.67/0.72     inference(scs_inference,[],[8,6,4,68,5,9,48,55,33,21,25,15,16,10])).
% 0.67/0.72  cnf(80,plain,
% 0.67/0.72     (P3(a3,a2)),
% 0.67/0.72     inference(scs_inference,[],[8,6,4,68,5,9,48,55,33,41,21,25,15,16,10,11])).
% 0.67/0.72  cnf(86,plain,
% 0.67/0.72     (~P2(a1,a1)),
% 0.67/0.72     inference(scs_inference,[],[4,31,1,20])).
% 0.67/0.72  cnf(87,plain,
% 0.67/0.72     (P1(x871,x871)),
% 0.67/0.72     inference(rename_variables,[],[4])).
% 0.67/0.72  cnf(93,plain,
% 0.67/0.72     (~P1(f10(a5,a2),f10(a5,a1))),
% 0.67/0.72     inference(scs_inference,[],[4,87,5,67,70,31,1,20,25,15])).
% 0.67/0.72  cnf(101,plain,
% 0.67/0.72     (P1(x1011,x1011)),
% 0.67/0.72     inference(rename_variables,[],[4])).
% 0.67/0.72  cnf(106,plain,
% 0.67/0.72     (P1(x1061,x1061)),
% 0.67/0.72     inference(rename_variables,[],[4])).
% 0.67/0.72  cnf(108,plain,
% 0.67/0.72     (P3(x1081,x1081)),
% 0.67/0.72     inference(scs_inference,[],[27,6,4,101,106,78,86,28,18,20,21,10])).
% 0.67/0.72  cnf(129,plain,
% 0.67/0.72     ($false),
% 0.67/0.72     inference(scs_inference,[],[4,108,93,80,37,22,18]),
% 0.67/0.72     ['proof']).
% 0.67/0.72  % SZS output end Proof
% 0.67/0.72  % Total time :0.030000s
%------------------------------------------------------------------------------