↑ Up

CSE---1.7.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SYN643-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n029.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 : Mon Jun 24 19:06:11 EDT 2024

% Result   : Unsatisfiable 221.75s 221.81s
% Output   : CNFRefutation 221.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN643-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun Jun 23 22:17:39 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.47/0.55  start to proof:theBenchmark
% 221.75/221.76  %-------------------------------------------
% 221.75/221.76  % File        :CSE---1.7
% 221.75/221.76  % Problem     :theBenchmark
% 221.75/221.76  % Transform   :cnf
% 221.75/221.76  % Format      :tptp:raw
% 221.75/221.76  % Command     :java -jar mcs_scs.jar %d %s
% 221.75/221.76  
% 221.75/221.76  % Result      :Theorem 221.100000s
% 221.75/221.76  % Output      :CNFRefutation 221.100000s
% 221.75/221.76  %-------------------------------------------
% 221.75/221.80  %--------------------------------------------------------------------------
% 221.75/221.80  % File     : SYN643-1 : TPTP v8.2.0. Released v2.5.0.
% 221.75/221.80  % Domain   : Syntactic
% 221.75/221.80  % Problem  : Harrison problem 4298
% 221.75/221.80  % Version  : Especial.
% 221.75/221.80  % English  :
% 221.75/221.80  
% 221.75/221.80  % Refs     : [Har01] Email to G. Sutcliffe
% 221.75/221.80  % Source   : [Har01]
% 221.75/221.80  % Names    :
% 221.75/221.80  
% 221.75/221.80  % Status   : Unsatisfiable
% 221.75/221.80  % Rating   : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v3.5.0, 0.14 v3.4.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0
% 221.75/221.80  % Syntax   : Number of clauses     :   42 (  15 unt;   7 nHn;  35 RR)
% 221.75/221.80  %            Number of literals    :  100 (   0 equ;  51 neg)
% 221.75/221.80  %            Maximal clause size   :    6 (   2 avg)
% 221.75/221.80  %            Maximal term depth    :    4 (   1 avg)
% 221.75/221.80  %            Number of predicates  :    8 (   8 usr;   0 prp; 1-3 aty)
% 221.75/221.80  %            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
% 221.75/221.80  %            Number of variables   :   82 (   0 sgn)
% 221.75/221.80  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 221.75/221.80  
% 221.75/221.80  % Comments :
% 221.75/221.80  %--------------------------------------------------------------------------
% 221.75/221.80  cnf(f3_is_p15_1,negated_conjecture,
% 221.75/221.80      p15(f3(c19)) ).
% 221.75/221.80  
% 221.75/221.80  cnf(f3_is_p15_2,negated_conjecture,
% 221.75/221.80      p15(f3(c18)) ).
% 221.75/221.80  
% 221.75/221.80  cnf(p11_3,negated_conjecture,
% 221.75/221.80      p11(X0,X0) ).
% 221.75/221.80  
% 221.75/221.80  cnf(p6_4,negated_conjecture,
% 221.75/221.80      p6(X45,X45) ).
% 221.75/221.80  
% 221.75/221.80  cnf(p4_5,negated_conjecture,
% 221.75/221.80      p4(X36,X36) ).
% 221.75/221.80  
% 221.75/221.80  cnf(p2_6,negated_conjecture,
% 221.75/221.80      p2(X27,X27) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p16_7,negated_conjecture,
% 221.75/221.81      p16(X18,X18) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_8,negated_conjecture,
% 221.75/221.81      p12(X3,X3) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_9,negated_conjecture,
% 221.75/221.81      p6(f8(f3(c19)),f8(c19)) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p4_10,negated_conjecture,
% 221.75/221.81      p4(f5(f3(c18)),f5(c18)) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p4_11,negated_conjecture,
% 221.75/221.81      p4(f5(f3(c19)),f5(c19)) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_12,negated_conjecture,
% 221.75/221.81      p6(f7(f3(c18)),f7(c18)) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_13,negated_conjecture,
% 221.75/221.81      p6(f7(f3(c19)),f7(c19)) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_14,negated_conjecture,
% 221.75/221.81      p6(f8(f3(c18)),f8(c18)) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p15_15,negated_conjecture,
% 221.75/221.81      ( p15(X16)
% 221.75/221.81      | ~ p15(X17)
% 221.75/221.81      | ~ p2(X17,X16) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_16,negated_conjecture,
% 221.75/221.81      ( p12(f13(X6),f13(X7))
% 221.75/221.81      | ~ p11(X6,X7) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_17,negated_conjecture,
% 221.75/221.81      ( p6(f8(X54),f8(X55))
% 221.75/221.81      | ~ p2(X54,X55) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_18,negated_conjecture,
% 221.75/221.81      ( p6(f7(X52),f7(X53))
% 221.75/221.81      | ~ p2(X52,X53) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p4_19,negated_conjecture,
% 221.75/221.81      ( p4(f5(X39),f5(X40))
% 221.75/221.81      | ~ p2(X39,X40) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p2_20,negated_conjecture,
% 221.75/221.81      ( p2(f3(X34),f3(X35))
% 221.75/221.81      | ~ p2(X34,X35) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p15_21,negated_conjecture,
% 221.75/221.81      ( p15(f10(X14,X15))
% 221.75/221.81      | ~ p15(X14)
% 221.75/221.81      | ~ p15(X15) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p11_22,negated_conjecture,
% 221.75/221.81      ( p11(X1,X2)
% 221.75/221.81      | ~ p11(X0,X1)
% 221.75/221.81      | ~ p11(X0,X2) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_23,negated_conjecture,
% 221.75/221.81      ( p6(X46,X47)
% 221.75/221.81      | ~ p6(X45,X46)
% 221.75/221.81      | ~ p6(X45,X47) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p4_24,negated_conjecture,
% 221.75/221.81      ( p4(X37,X38)
% 221.75/221.81      | ~ p4(X36,X37)
% 221.75/221.81      | ~ p4(X36,X38) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p2_25,negated_conjecture,
% 221.75/221.81      ( p2(X28,X29)
% 221.75/221.81      | ~ p2(X27,X28)
% 221.75/221.81      | ~ p2(X27,X29) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p16_26,negated_conjecture,
% 221.75/221.81      ( p16(X19,X20)
% 221.75/221.81      | ~ p16(X18,X19)
% 221.75/221.81      | ~ p16(X18,X20) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_27,negated_conjecture,
% 221.75/221.81      ( p12(X4,X5)
% 221.75/221.81      | ~ p12(X3,X4)
% 221.75/221.81      | ~ p12(X3,X5) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(not_p4_28,negated_conjecture,
% 221.75/221.81      ~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_29,negated_conjecture,
% 221.75/221.81      ( p12(f13(X8),c20)
% 221.75/221.81      | p17(X8,X9,c19)
% 221.75/221.81      | ~ p17(X8,X9,f3(c19)) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_30,negated_conjecture,
% 221.75/221.81      ( p12(f13(X10),c20)
% 221.75/221.81      | p17(X10,X11,c18)
% 221.75/221.81      | ~ p17(X10,X11,f3(c18)) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_31,negated_conjecture,
% 221.75/221.81      ( p12(f13(X8),c20)
% 221.75/221.81      | p17(X8,X9,f3(c19))
% 221.75/221.81      | ~ p17(X8,X9,c19) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_32,negated_conjecture,
% 221.75/221.81      ( p12(f13(X10),c20)
% 221.75/221.81      | p17(X10,X11,f3(c18))
% 221.75/221.81      | ~ p17(X10,X11,c18) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_33,negated_conjecture,
% 221.75/221.81      ( p6(f14(X48,X49),f14(X50,X51))
% 221.75/221.81      | ~ p6(X48,X50)
% 221.75/221.81      | ~ p6(X49,X51) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p2_34,negated_conjecture,
% 221.75/221.81      ( p2(f10(X30,X31),f10(X32,X33))
% 221.75/221.81      | ~ p2(X30,X32)
% 221.75/221.81      | ~ p2(X31,X33) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p4_35,negated_conjecture,
% 221.75/221.81      ( p4(f9(X41,X42),f9(X43,X44))
% 221.75/221.81      | ~ p4(X42,X44)
% 221.75/221.81      | ~ p4(X41,X43) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_36,negated_conjecture,
% 221.75/221.81      ( p6(f8(f10(X14,X15)),f14(f8(X14),f8(X15)))
% 221.75/221.81      | ~ p15(X14)
% 221.75/221.81      | ~ p15(X15) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p4_37,negated_conjecture,
% 221.75/221.81      ( p4(f5(f10(X14,X15)),f9(f5(X14),f5(X15)))
% 221.75/221.81      | ~ p15(X14)
% 221.75/221.81      | ~ p15(X15) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p6_38,negated_conjecture,
% 221.75/221.81      ( p6(f7(f10(X14,X15)),f14(f7(X14),f7(X15)))
% 221.75/221.81      | ~ p15(X14)
% 221.75/221.81      | ~ p15(X15) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p17_39,negated_conjecture,
% 221.75/221.81      ( p17(X21,X22,X23)
% 221.75/221.81      | ~ p2(X26,X23)
% 221.75/221.81      | ~ p16(X25,X22)
% 221.75/221.81      | ~ p11(X24,X21)
% 221.75/221.81      | ~ p17(X24,X25,X26) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_40,negated_conjecture,
% 221.75/221.81      ( p12(f13(X12),c20)
% 221.75/221.81      | p17(X12,X13,X14)
% 221.75/221.81      | p17(X12,X13,f10(X14,X15))
% 221.75/221.81      | ~ p15(X14)
% 221.75/221.81      | ~ p15(X15) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_41,negated_conjecture,
% 221.75/221.81      ( p12(f13(X12),c20)
% 221.75/221.81      | p17(X12,X13,f10(X14,X15))
% 221.75/221.81      | ~ p15(X14)
% 221.75/221.81      | ~ p15(X15)
% 221.75/221.81      | ~ p17(X12,X13,X15) ) ).
% 221.75/221.81  
% 221.75/221.81  cnf(p12_42,negated_conjecture,
% 221.75/221.81      ( p12(f13(X12),c20)
% 221.75/221.81      | p17(X12,X13,X15)
% 221.75/221.81      | ~ p15(X14)
% 221.75/221.81      | ~ p15(X15)
% 221.75/221.81      | ~ p17(X12,X13,X14)
% 221.75/221.81      | ~ p17(X12,X13,f10(X14,X15)) ) ).
% 221.75/221.81  
% 221.75/221.81  %--------------------------------------------------------------------------
% 221.75/221.81  %-------------------------------------------
% 221.75/221.81  % Proof found
% 221.75/221.81  % SZS status Theorem for theBenchmark
% 221.75/221.81  % SZS output start Proof
% 221.75/221.85  %ClaNum:42(EqnAxiom:0)
% 221.75/221.85  %VarNum:183(SingletonVarNum:82)
% 221.75/221.85  %MaxLitNum:6
% 221.75/221.85  %MaxfuncDepth:3
% 221.75/221.85  %SharedTerms:29
% 221.75/221.85  %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
% 221.75/221.85  %singleGoalClaCount:15
% 221.75/221.85  [1]P1(f3(a1))
% 221.75/221.85  [2]P1(f3(a2))
% 221.75/221.85  [9]P4(f8(f3(a1)),f8(a1))
% 221.75/221.85  [10]P4(f8(f3(a2)),f8(a2))
% 221.75/221.85  [11]P4(f9(f3(a1)),f9(a1))
% 221.75/221.85  [12]P4(f9(f3(a2)),f9(a2))
% 221.75/221.85  [13]P5(f10(f3(a1)),f10(a1))
% 221.75/221.85  [14]P5(f10(f3(a2)),f10(a2))
% 221.75/221.85  [15]~P5(f10(f4(f3(a1),f3(a2))),f11(f10(a1),f10(a2)))
% 221.75/221.85  [3]P2(x31,x31)
% 221.75/221.85  [4]P4(x41,x41)
% 221.75/221.85  [5]P5(x51,x51)
% 221.75/221.85  [6]P6(x61,x61)
% 221.75/221.85  [7]P7(x71,x71)
% 221.75/221.85  [8]P3(x81,x81)
% 221.75/221.85  [18]~P6(x181,x182)+P4(f8(x181),f8(x182))
% 221.75/221.85  [19]~P6(x191,x192)+P4(f9(x191),f9(x192))
% 221.75/221.85  [20]~P6(x201,x202)+P5(f10(x201),f10(x202))
% 221.75/221.85  [21]~P6(x211,x212)+P6(f3(x211),f3(x212))
% 221.75/221.85  [22]~P2(x221,x222)+P3(f6(x221),f6(x222))
% 221.75/221.85  [16]~P6(x162,x161)+P1(x161)+~P1(x162)
% 221.75/221.85  [17]~P1(x172)+~P1(x171)+P1(f4(x171,x172))
% 221.75/221.85  [35]~P8(x351,x352,a1)+P8(x351,x352,f3(a1))+P3(f6(x351),a5)
% 221.75/221.85  [36]~P8(x361,x362,a2)+P8(x361,x362,f3(a2))+P3(f6(x361),a5)
% 221.75/221.85  [37]P8(x371,x372,a1)+~P8(x371,x372,f3(a1))+P3(f6(x371),a5)
% 221.75/221.85  [38]P8(x381,x382,a2)+~P8(x381,x382,f3(a2))+P3(f6(x381),a5)
% 221.75/221.85  [32]~P1(x322)+~P1(x321)+P4(f8(f4(x321,x322)),f7(f8(x321),f8(x322)))
% 221.75/221.85  [33]~P1(x332)+~P1(x331)+P4(f9(f4(x331,x332)),f7(f9(x331),f9(x332)))
% 221.75/221.85  [34]~P1(x342)+~P1(x341)+P5(f10(f4(x341,x342)),f11(f10(x341),f10(x342)))
% 221.75/221.85  [23]~P2(x233,x231)+P2(x231,x232)+~P2(x233,x232)
% 221.75/221.85  [24]~P4(x243,x241)+P4(x241,x242)+~P4(x243,x242)
% 221.75/221.85  [25]~P5(x253,x251)+P5(x251,x252)+~P5(x253,x252)
% 221.75/221.85  [26]~P6(x263,x261)+P6(x261,x262)+~P6(x263,x262)
% 221.75/221.85  [27]~P7(x273,x271)+P7(x271,x272)+~P7(x273,x272)
% 221.75/221.85  [28]~P3(x283,x281)+P3(x281,x282)+~P3(x283,x282)
% 221.75/221.85  [29]~P4(x292,x294)+~P4(x291,x293)+P4(f7(x291,x292),f7(x293,x294))
% 221.75/221.85  [30]~P5(x302,x304)+~P5(x301,x303)+P5(f11(x301,x302),f11(x303,x304))
% 221.75/221.85  [31]~P6(x312,x314)+~P6(x311,x313)+P6(f4(x311,x312),f4(x313,x314))
% 221.75/221.85  [39]~P1(x394)+~P1(x393)+P8(x391,x392,x393)+P8(x391,x392,f4(x393,x394))+P3(f6(x391),a5)
% 221.75/221.85  [40]~P1(x404)+~P1(x403)+~P8(x401,x402,x404)+P8(x401,x402,f4(x403,x404))+P3(f6(x401),a5)
% 221.75/221.85  [41]~P8(x414,x416,x415)+P8(x411,x412,x413)+~P2(x414,x411)+~P6(x415,x413)+~P7(x416,x412)
% 221.75/221.85  [42]~P1(x423)+~P8(x421,x422,x424)+P8(x421,x422,x423)+~P1(x424)+~P8(x421,x422,f4(x424,x423))+P3(f6(x421),a5)
% 221.75/221.85  %EqnAxiom
% 221.75/221.85  
% 221.75/221.85  %-------------------------------------------
% 221.92/221.90  cnf(52,plain,
% 221.92/221.90     (P4(f9(a1),f9(f3(a1)))),
% 221.92/221.90     inference(scs_inference,[],[11,4,24])).
% 221.92/221.90  cnf(105,plain,
% 221.92/221.90     (~P5(f11(f10(a1),f10(a2)),f10(f4(f3(a1),f3(a2))))),
% 221.92/221.90     inference(scs_inference,[],[15,5,25])).
% 221.92/221.90  cnf(229,plain,
% 221.92/221.90     (P5(f11(f10(f3(a1)),x2291),f11(f10(a1),x2291))),
% 221.92/221.90     inference(scs_inference,[],[13,5,30])).
% 221.92/221.90  cnf(237,plain,
% 221.92/221.90     (P5(f11(x2371,f10(f3(a2))),f11(x2371,f10(a2)))),
% 221.92/221.90     inference(scs_inference,[],[14,5,30])).
% 221.92/221.90  cnf(275,plain,
% 221.92/221.90     (~P5(f11(f10(a1),f10(f3(a2))),f10(f4(f3(a1),f3(a2))))),
% 221.92/221.90     inference(scs_inference,[],[52,237,105,4,29,25])).
% 221.92/221.90  cnf(3342,plain,
% 221.92/221.90     (~P5(f11(f10(f3(a1)),f10(f3(a2))),f10(f4(f3(a1),f3(a2))))),
% 221.92/221.90     inference(scs_inference,[],[229,275,25])).
% 221.92/221.90  cnf(39698,plain,
% 221.92/221.90     (~P5(f10(f4(f3(a1),f3(a2))),f11(f10(f3(a1)),f10(f3(a2))))),
% 221.92/221.90     inference(scs_inference,[],[6,3342,20,25])).
% 221.92/221.90  cnf(40133,plain,
% 221.92/221.90     ($false),
% 221.92/221.90     inference(scs_inference,[],[39698,2,1,6,34,16]),
% 221.92/221.90     ['proof']).
% 221.92/221.93  % SZS output end Proof
% 221.92/221.93  % Total time :221.100000s
%------------------------------------------------------------------------------