TSTP Solution File: SYN591-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN591-1 : 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 : n007.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 01:46:31 EDT 2023

% Result   : Unsatisfiable 0.67s 0.76s
% Output   : CNFRefutation 0.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16  % Problem    : SYN591-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.17  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.38  % Computer : n007.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Sat Aug 26 19:51:27 EDT 2023
% 0.15/0.38  % CPUTime    : 
% 0.23/0.61  start to proof:theBenchmark
% 0.67/0.75  %-------------------------------------------
% 0.67/0.75  % File        :CSE---1.6
% 0.67/0.75  % Problem     :theBenchmark
% 0.67/0.75  % Transform   :cnf
% 0.67/0.75  % Format      :tptp:raw
% 0.67/0.75  % Command     :java -jar mcs_scs.jar %d %s
% 0.67/0.75  
% 0.67/0.75  % Result      :Theorem 0.100000s
% 0.67/0.75  % Output      :CNFRefutation 0.100000s
% 0.67/0.75  %-------------------------------------------
% 0.67/0.76  %--------------------------------------------------------------------------
% 0.67/0.76  % File     : SYN591-1 : TPTP v8.1.2. Released v2.5.0.
% 0.67/0.76  % Domain   : Syntactic
% 0.67/0.76  % Problem  : Harrison problem 3583
% 0.67/0.76  % Version  : Especial.
% 0.67/0.76  % English  :
% 0.67/0.76  
% 0.67/0.76  % Refs     : [Har01] Email to G. Sutcliffe
% 0.67/0.76  % Source   : [Har01]
% 0.67/0.76  % Names    :
% 0.67/0.76  
% 0.67/0.76  % Status   : Unsatisfiable
% 0.67/0.76  % Rating   : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.00 v2.5.0
% 0.67/0.76  % Syntax   : Number of clauses     :   27 (  13 unt;   1 nHn;  23 RR)
% 0.67/0.76  %            Number of literals    :   54 (   0 equ;  29 neg)
% 0.67/0.76  %            Maximal clause size   :    4 (   2 avg)
% 0.67/0.76  %            Maximal term depth    :    3 (   1 avg)
% 0.67/0.76  %            Number of predicates  :    8 (   8 usr;   0 prp; 1-2 aty)
% 0.67/0.76  %            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
% 0.67/0.76  %            Number of variables   :   40 (   1 sgn)
% 0.67/0.76  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.67/0.76  
% 0.67/0.76  % Comments :
% 0.67/0.76  %--------------------------------------------------------------------------
% 0.67/0.76  cnf(c14_is_p9_1,negated_conjecture,
% 0.67/0.76      p9(c14) ).
% 0.67/0.76  
% 0.67/0.76  cnf(c13_is_p8_2,negated_conjecture,
% 0.67/0.76      p8(c13) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p7_3,negated_conjecture,
% 0.67/0.76      p7(X30,X30) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p2_4,negated_conjecture,
% 0.67/0.76      p2(X15,X15) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p3_5,negated_conjecture,
% 0.67/0.76      p3(X23,X23) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p10_6,negated_conjecture,
% 0.67/0.76      p10(c14,X4) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p10_7,negated_conjecture,
% 0.67/0.76      p10(c13,c15) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p10_8,negated_conjecture,
% 0.67/0.76      p10(c13,c17) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p10_9,negated_conjecture,
% 0.67/0.76      p10(c13,c16) ).
% 0.67/0.76  
% 0.67/0.76  cnf(not_p2_10,negated_conjecture,
% 0.67/0.76      ~ p2(c15,c17) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p12_11,negated_conjecture,
% 0.67/0.76      p12(c14,f4(c18,c17)) ).
% 0.67/0.76  
% 0.67/0.76  cnf(not_p11_12,negated_conjecture,
% 0.67/0.76      ~ p11(c13,f4(c17,f6(c18))) ).
% 0.67/0.76  
% 0.67/0.76  cnf(not_p11_13,negated_conjecture,
% 0.67/0.76      ~ p11(c13,f4(f6(c18),c17)) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p8_14,negated_conjecture,
% 0.67/0.76      ( p8(X33)
% 0.67/0.76      | ~ p8(X34)
% 0.67/0.76      | ~ p7(X34,X33) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p9_15,negated_conjecture,
% 0.67/0.76      ( p9(X35)
% 0.67/0.76      | ~ p9(X36)
% 0.67/0.76      | ~ p7(X36,X35) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p11_16,negated_conjecture,
% 0.67/0.76      ( p11(c14,f4(c15,X10))
% 0.67/0.76      | ~ p10(c13,X10) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p2_17,negated_conjecture,
% 0.67/0.76      ( p2(f5(X18),f5(X19))
% 0.67/0.76      | ~ p2(X18,X19) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p2_18,negated_conjecture,
% 0.67/0.76      ( p2(f6(X21),f6(X22))
% 0.67/0.76      | ~ p2(X21,X22) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p7_19,negated_conjecture,
% 0.67/0.76      ( p7(X31,X32)
% 0.67/0.76      | ~ p7(X30,X31)
% 0.67/0.76      | ~ p7(X30,X32) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p2_20,negated_conjecture,
% 0.67/0.76      ( p2(X16,X17)
% 0.67/0.76      | ~ p2(X15,X16)
% 0.67/0.76      | ~ p2(X15,X17) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p3_21,negated_conjecture,
% 0.67/0.76      ( p3(X24,X25)
% 0.67/0.76      | ~ p3(X23,X24)
% 0.67/0.76      | ~ p3(X23,X25) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p2_22,negated_conjecture,
% 0.67/0.76      ( p2(f6(X20),f5(X20))
% 0.67/0.76      | ~ p12(c14,f4(X20,c17)) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p10_23,negated_conjecture,
% 0.67/0.76      ( p10(X0,X1)
% 0.67/0.76      | ~ p2(X3,X1)
% 0.67/0.76      | ~ p7(X2,X0)
% 0.67/0.76      | ~ p10(X2,X3) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p12_24,negated_conjecture,
% 0.67/0.76      ( p12(X11,X12)
% 0.67/0.76      | ~ p3(X14,X12)
% 0.67/0.76      | ~ p7(X13,X11)
% 0.67/0.76      | ~ p12(X13,X14) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p11_25,negated_conjecture,
% 0.67/0.76      ( p11(X5,X6)
% 0.67/0.76      | ~ p3(X8,X6)
% 0.67/0.76      | ~ p7(X7,X5)
% 0.67/0.76      | ~ p11(X7,X8) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p3_26,negated_conjecture,
% 0.67/0.76      ( p3(f4(X26,X27),f4(X28,X29))
% 0.67/0.76      | ~ p2(X26,X28)
% 0.67/0.76      | ~ p2(X27,X29) ) ).
% 0.67/0.76  
% 0.67/0.76  cnf(p11_27,negated_conjecture,
% 0.67/0.76      ( p11(c13,f4(c17,f5(X9)))
% 0.67/0.76      | p11(c13,f4(f5(X9),c17))
% 0.67/0.76      | ~ p12(c14,f4(X9,c17)) ) ).
% 0.67/0.76  
% 0.67/0.76  %--------------------------------------------------------------------------
% 0.67/0.76  %-------------------------------------------
% 0.67/0.76  % Proof found
% 0.67/0.76  % SZS status Theorem for theBenchmark
% 0.67/0.76  % SZS output start Proof
% 0.67/0.76  %ClaNum:27(EqnAxiom:0)
% 0.67/0.76  %VarNum:81(SingletonVarNum:40)
% 0.67/0.76  %MaxLitNum:4
% 0.67/0.76  %MaxfuncDepth:2
% 0.67/0.76  %SharedTerms:19
% 0.67/0.76  %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
% 0.67/0.76  %singleGoalClaCount:13
% 0.67/0.76  [1]P1(a1)
% 0.67/0.76  [2]P2(a2)
% 0.67/0.76  [3]P3(a2,a3)
% 0.67/0.76  [4]P3(a2,a4)
% 0.67/0.76  [5]P3(a2,a5)
% 0.67/0.76  [11]~P5(a3,a4)
% 0.67/0.76  [10]P6(a1,f7(a6,a4))
% 0.67/0.76  [12]~P7(a2,f7(a4,f8(a6)))
% 0.67/0.76  [13]~P7(a2,f7(f8(a6),a4))
% 0.67/0.76  [6]P3(a1,x61)
% 0.67/0.76  [7]P4(x71,x71)
% 0.67/0.76  [8]P5(x81,x81)
% 0.67/0.76  [9]P8(x91,x91)
% 0.67/0.76  [18]~P3(a2,x181)+P7(a1,f7(a3,x181))
% 0.67/0.76  [25]P5(f8(x251),f9(x251))+~P6(a1,f7(x251,a4))
% 0.67/0.76  [16]~P5(x161,x162)+P5(f8(x161),f8(x162))
% 0.67/0.76  [17]~P5(x171,x172)+P5(f9(x171),f9(x172))
% 0.67/0.76  [27]~P6(a1,f7(x271,a4))+P7(a2,f7(a4,f9(x271)))+P7(a2,f7(f9(x271),a4))
% 0.67/0.76  [14]~P4(x142,x141)+P1(x141)+~P1(x142)
% 0.67/0.76  [15]~P4(x152,x151)+P2(x151)+~P2(x152)
% 0.67/0.76  [19]~P4(x193,x191)+P4(x191,x192)+~P4(x193,x192)
% 0.67/0.76  [20]~P5(x203,x201)+P5(x201,x202)+~P5(x203,x202)
% 0.67/0.76  [21]~P8(x213,x211)+P8(x211,x212)+~P8(x213,x212)
% 0.67/0.76  [26]~P5(x262,x264)+~P5(x261,x263)+P8(f7(x261,x262),f7(x263,x264))
% 0.67/0.76  [22]~P3(x223,x224)+P3(x221,x222)+~P4(x223,x221)+~P5(x224,x222)
% 0.67/0.76  [23]~P6(x233,x234)+P6(x231,x232)+~P4(x233,x231)+~P8(x234,x232)
% 0.67/0.76  [24]~P7(x243,x244)+P7(x241,x242)+~P4(x243,x241)+~P8(x244,x242)
% 0.67/0.76  %EqnAxiom
% 0.67/0.76  
% 0.67/0.76  %-------------------------------------------
% 0.67/0.76  cnf(28,plain,
% 0.67/0.76     (P5(f8(a6),f9(a6))),
% 0.67/0.76     inference(scs_inference,[],[10,25])).
% 0.67/0.76  cnf(29,plain,
% 0.67/0.76     (P7(a1,f7(a3,a3))),
% 0.67/0.76     inference(scs_inference,[],[3,10,25,18])).
% 0.67/0.76  cnf(46,plain,
% 0.67/0.76     (P5(x461,x461)),
% 0.67/0.76     inference(rename_variables,[],[8])).
% 0.67/0.76  cnf(48,plain,
% 0.67/0.76     (P8(f7(x481,f8(a6)),f7(x481,f9(a6)))),
% 0.67/0.76     inference(scs_inference,[],[28,8,46,20,26])).
% 0.67/0.76  cnf(59,plain,
% 0.67/0.76     (P8(f7(f8(a6),x591),f7(f9(a6),x591))),
% 0.67/0.76     inference(scs_inference,[],[29,13,28,8,24,26])).
% 0.67/0.76  cnf(77,plain,
% 0.67/0.76     (P8(f7(x771,f9(a6)),f7(x771,f8(a6)))),
% 0.67/0.76     inference(scs_inference,[],[48,9,21])).
% 0.67/0.76  cnf(90,plain,
% 0.67/0.76     (P7(a2,f7(f9(a6),a4))),
% 0.67/0.76     inference(scs_inference,[],[12,77,10,7,24,27])).
% 0.67/0.76  cnf(100,plain,
% 0.67/0.76     (P8(f7(f9(a6),x1001),f7(f8(a6),x1001))),
% 0.67/0.76     inference(scs_inference,[],[59,9,21])).
% 0.67/0.76  cnf(104,plain,
% 0.67/0.76     ($false),
% 0.67/0.76     inference(scs_inference,[],[13,90,100,7,24]),
% 0.67/0.77     ['proof']).
% 0.67/0.77  % SZS output end Proof
% 0.67/0.77  % Total time :0.100000s
%------------------------------------------------------------------------------