TSTP Solution File: SYN624-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN624-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 01:46:39 EDT 2023
% Result : Unsatisfiable 60.94s 60.98s
% Output : CNFRefutation 60.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN624-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n017.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 21:01:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 60.94/60.96 %-------------------------------------------
% 60.94/60.96 % File :CSE---1.6
% 60.94/60.96 % Problem :theBenchmark
% 60.94/60.96 % Transform :cnf
% 60.94/60.96 % Format :tptp:raw
% 60.94/60.96 % Command :java -jar mcs_scs.jar %d %s
% 60.94/60.96
% 60.94/60.96 % Result :Theorem 60.330000s
% 60.94/60.96 % Output :CNFRefutation 60.330000s
% 60.94/60.96 %-------------------------------------------
% 60.94/60.96 %--------------------------------------------------------------------------
% 60.94/60.96 % File : SYN624-1 : TPTP v8.1.2. Released v2.5.0.
% 60.94/60.96 % Domain : Syntactic
% 60.94/60.96 % Problem : Harrison problem 4028
% 60.94/60.96 % Version : Especial.
% 60.94/60.96 % English :
% 60.94/60.96
% 60.94/60.96 % Refs : [Har01] Email to G. Sutcliffe
% 60.94/60.96 % Source : [Har01]
% 60.94/60.96 % Names :
% 60.94/60.96
% 60.94/60.96 % Status : Unsatisfiable
% 60.94/60.96 % Rating : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.07 v4.1.0, 0.00 v2.5.0
% 60.94/60.96 % Syntax : Number of clauses : 35 ( 14 unt; 1 nHn; 27 RR)
% 60.94/60.97 % Number of literals : 73 ( 0 equ; 41 neg)
% 60.94/60.97 % Maximal clause size : 4 ( 2 avg)
% 60.94/60.97 % Maximal term depth : 5 ( 1 avg)
% 60.94/60.97 % Number of predicates : 9 ( 9 usr; 0 prp; 1-2 aty)
% 60.94/60.97 % Number of functors : 16 ( 16 usr; 5 con; 0-2 aty)
% 60.94/60.97 % Number of variables : 67 ( 1 sgn)
% 60.94/60.97 % SPC : CNF_UNS_RFO_NEQ_NHN
% 60.94/60.97
% 60.94/60.97 % Comments :
% 60.94/60.97 %--------------------------------------------------------------------------
% 60.94/60.97 cnf(p10_1,negated_conjecture,
% 60.94/60.97 p10(X0,X0) ).
% 60.94/60.97
% 60.94/60.97 cnf(p5_2,negated_conjecture,
% 60.94/60.97 p5(X57,X57) ).
% 60.94/60.97
% 60.94/60.97 cnf(p3_3,negated_conjecture,
% 60.94/60.97 p3(X46,X46) ).
% 60.94/60.97
% 60.94/60.97 cnf(p2_4,negated_conjecture,
% 60.94/60.97 p2(X34,X34) ).
% 60.94/60.97
% 60.94/60.97 cnf(p11_5,negated_conjecture,
% 60.94/60.97 p11(X21,X21) ).
% 60.94/60.97
% 60.94/60.97 cnf(f6_is_not_p18_6,negated_conjecture,
% 60.94/60.97 ~ p18(f6(c24)) ).
% 60.94/60.97
% 60.94/60.97 cnf(f6_is_not_p18_7,negated_conjecture,
% 60.94/60.97 ~ p18(f6(c22)) ).
% 60.94/60.97
% 60.94/60.97 cnf(p3_8,negated_conjecture,
% 60.94/60.97 p3(f4(c22),c23) ).
% 60.94/60.97
% 60.94/60.97 cnf(p19_9,negated_conjecture,
% 60.94/60.97 p19(f7(f8(f9(c25))),c23) ).
% 60.94/60.97
% 60.94/60.97 cnf(p18_10,negated_conjecture,
% 60.94/60.97 ( p18(X28)
% 60.94/60.97 | ~ p18(X29)
% 60.94/60.97 | ~ p5(X29,X28) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p10_11,negated_conjecture,
% 60.94/60.97 p10(f16(X16,f14(f15(f7(c25)))),X16) ).
% 60.94/60.97
% 60.94/60.97 cnf(p10_12,negated_conjecture,
% 60.94/60.97 ( p10(f14(X10),f14(X11))
% 60.94/60.97 | ~ p11(X10,X11) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p5_13,negated_conjecture,
% 60.94/60.97 ( p5(f6(X60),f6(X61))
% 60.94/60.97 | ~ p2(X60,X61) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p3_14,negated_conjecture,
% 60.94/60.97 ( p3(f9(X55),f9(X56))
% 60.94/60.97 | ~ p3(X55,X56) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p3_15,negated_conjecture,
% 60.94/60.97 ( p3(f8(X53),f8(X54))
% 60.94/60.97 | ~ p3(X53,X54) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p3_16,negated_conjecture,
% 60.94/60.97 ( p3(f7(X51),f7(X52))
% 60.94/60.97 | ~ p3(X51,X52) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p3_17,negated_conjecture,
% 60.94/60.97 ( p3(f4(X49),f4(X50))
% 60.94/60.97 | ~ p2(X49,X50) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p11_18,negated_conjecture,
% 60.94/60.97 ( p11(f15(X26),f15(X27))
% 60.94/60.97 | ~ p3(X26,X27) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p11_19,negated_conjecture,
% 60.94/60.97 ( p11(f12(X24),f12(X25))
% 60.94/60.97 | ~ p10(X24,X25) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(not_p10_20,negated_conjecture,
% 60.94/60.97 ~ p10(f13(f6(c24),c26),f14(f15(f7(c25)))) ).
% 60.94/60.97
% 60.94/60.97 cnf(p10_21,negated_conjecture,
% 60.94/60.97 ( p10(X1,X2)
% 60.94/60.97 | ~ p10(X0,X1)
% 60.94/60.97 | ~ p10(X0,X2) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p5_22,negated_conjecture,
% 60.94/60.97 ( p5(X58,X59)
% 60.94/60.97 | ~ p5(X57,X58)
% 60.94/60.97 | ~ p5(X57,X59) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p3_23,negated_conjecture,
% 60.94/60.97 ( p3(X47,X48)
% 60.94/60.97 | ~ p3(X46,X47)
% 60.94/60.97 | ~ p3(X46,X48) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p2_24,negated_conjecture,
% 60.94/60.97 ( p2(X35,X36)
% 60.94/60.97 | ~ p2(X34,X35)
% 60.94/60.97 | ~ p2(X34,X36) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p11_25,negated_conjecture,
% 60.94/60.97 ( p11(X22,X23)
% 60.94/60.97 | ~ p11(X21,X22)
% 60.94/60.97 | ~ p11(X21,X23) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p10_26,negated_conjecture,
% 60.94/60.97 p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))) ).
% 60.94/60.97
% 60.94/60.97 cnf(p20_27,negated_conjecture,
% 60.94/60.97 p20(f12(f13(f6(c24),c26)),f12(f13(f6(c24),X41))) ).
% 60.94/60.97
% 60.94/60.97 cnf(not_p10_28,negated_conjecture,
% 60.94/60.97 ~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))) ).
% 60.94/60.97
% 60.94/60.97 cnf(p21_29,negated_conjecture,
% 60.94/60.97 ( p21(X42,X43)
% 60.94/60.97 | ~ p3(X44,X42)
% 60.94/60.97 | ~ p3(X45,X43)
% 60.94/60.97 | ~ p21(X44,X45) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p19_30,negated_conjecture,
% 60.94/60.97 ( p19(X30,X31)
% 60.94/60.97 | ~ p3(X32,X30)
% 60.94/60.97 | ~ p3(X33,X31)
% 60.94/60.97 | ~ p19(X32,X33) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p20_31,negated_conjecture,
% 60.94/60.97 ( p20(X37,X38)
% 60.94/60.97 | ~ p11(X40,X38)
% 60.94/60.97 | ~ p20(X39,X40)
% 60.94/60.97 | ~ p11(X39,X37) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p10_32,negated_conjecture,
% 60.94/60.97 ( p10(f13(X3,X4),f13(X5,X6))
% 60.94/60.97 | ~ p10(X4,X6)
% 60.94/60.97 | ~ p5(X3,X5) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p10_33,negated_conjecture,
% 60.94/60.97 ( p10(f17(X17,X18),f17(X19,X20))
% 60.94/60.97 | ~ p2(X18,X20)
% 60.94/60.97 | ~ p3(X17,X19) ) ).
% 60.94/60.97
% 60.94/60.97 cnf(p10_34,negated_conjecture,
% 60.94/60.98 ( p10(f16(X12,X13),f16(X14,X15))
% 60.94/60.98 | ~ p10(X12,X14)
% 60.94/60.98 | ~ p10(X13,X15) ) ).
% 60.94/60.98
% 60.94/60.98 cnf(p18_35,negated_conjecture,
% 60.94/60.98 ( p18(f6(X7))
% 60.94/60.98 | p10(f13(f6(X7),f17(X8,X7)),f14(f15(f7(c25))))
% 60.94/60.98 | ~ p21(X8,c23)
% 60.94/60.98 | ~ p3(f4(X7),X8) ) ).
% 60.94/60.98
% 60.94/60.98 %--------------------------------------------------------------------------
% 60.94/60.98 %-------------------------------------------
% 60.94/60.98 % Proof found
% 60.94/60.98 % SZS status Theorem for theBenchmark
% 60.94/60.98 % SZS output start Proof
% 60.94/60.98 %ClaNum:35(EqnAxiom:0)
% 60.94/60.98 %VarNum:136(SingletonVarNum:67)
% 60.94/60.98 %MaxLitNum:4
% 60.94/60.98 %MaxfuncDepth:4
% 60.94/60.98 %SharedTerms:23
% 60.94/60.98 %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
% 60.94/60.98 %singleGoalClaCount:14
% 60.94/60.98 [6]P3(f2(a1),a3)
% 60.94/60.98 [11]~P7(f16(a5))
% 60.94/60.98 [12]~P7(f16(a1))
% 60.94/60.98 [7]P6(f15(f14(f13(a4))),a3)
% 60.94/60.98 [13]~P1(f8(f16(a5),a9),f7(f6(f15(a4))))
% 60.94/60.98 [14]~P1(f8(f16(a5),a9),f8(f16(a1),f7(f6(f15(a4)))))
% 60.94/60.98 [1]P1(x11,x11)
% 60.94/60.98 [2]P2(x21,x21)
% 60.94/60.98 [3]P3(x31,x31)
% 60.94/60.98 [4]P4(x41,x41)
% 60.94/60.98 [5]P5(x51,x51)
% 60.94/60.98 [9]P1(f8(f16(a1),x91),f8(f16(a5),f11(a9,x91)))
% 60.94/60.98 [10]P8(f10(f8(f16(a5),a9)),f10(f8(f16(a5),x101)))
% 60.94/60.98 [8]P1(f11(x81,f7(f6(f15(a4)))),x81)
% 60.94/60.98 [16]~P5(x161,x162)+P1(f7(x161),f7(x162))
% 60.94/60.98 [17]~P4(x171,x172)+P2(f16(x171),f16(x172))
% 60.94/60.98 [18]~P4(x181,x182)+P3(f2(x181),f2(x182))
% 60.94/60.98 [19]~P3(x191,x192)+P3(f13(x191),f13(x192))
% 60.94/60.98 [20]~P3(x201,x202)+P3(f14(x201),f14(x202))
% 60.94/60.98 [21]~P3(x211,x212)+P3(f15(x211),f15(x212))
% 60.94/60.98 [22]~P3(x221,x222)+P5(f6(x221),f6(x222))
% 60.94/60.98 [23]~P1(x231,x232)+P5(f10(x231),f10(x232))
% 60.94/60.98 [15]~P2(x152,x151)+P7(x151)+~P7(x152)
% 60.94/60.98 [24]~P1(x243,x241)+P1(x241,x242)+~P1(x243,x242)
% 60.94/60.98 [25]~P2(x253,x251)+P2(x251,x252)+~P2(x253,x252)
% 60.94/60.98 [26]~P3(x263,x261)+P3(x261,x262)+~P3(x263,x262)
% 60.94/60.98 [27]~P4(x273,x271)+P4(x271,x272)+~P4(x273,x272)
% 60.94/60.98 [28]~P5(x283,x281)+P5(x281,x282)+~P5(x283,x282)
% 60.94/60.98 [32]~P1(x322,x324)+~P1(x321,x323)+P1(f11(x321,x322),f11(x323,x324))
% 60.94/60.98 [33]~P1(x332,x334)+~P2(x331,x333)+P1(f8(x331,x332),f8(x333,x334))
% 60.94/60.98 [34]~P3(x341,x343)+~P4(x342,x344)+P1(f12(x341,x342),f12(x343,x344))
% 60.94/60.98 [35]~P9(x352,a3)+~P3(f2(x351),x352)+P7(f16(x351))+P1(f8(f16(x351),f12(x352,x351)),f7(f6(f15(a4))))
% 60.94/60.98 [29]~P6(x294,x293)+P6(x291,x292)+~P3(x293,x292)+~P3(x294,x291)
% 60.94/60.98 [30]~P8(x303,x304)+P8(x301,x302)+~P5(x303,x301)+~P5(x304,x302)
% 60.94/60.98 [31]~P9(x314,x313)+P9(x311,x312)+~P3(x313,x312)+~P3(x314,x311)
% 60.94/60.98 %EqnAxiom
% 60.94/60.98
% 60.94/60.98 %-------------------------------------------
% 60.94/60.98 cnf(36,plain,
% 60.94/60.98 (P5(f10(f8(f16(a1),x361)),f10(f8(f16(a5),f11(a9,x361))))),
% 60.94/60.98 inference(scs_inference,[],[9,23])).
% 60.94/60.98 cnf(46,plain,
% 60.94/60.98 (P1(f12(f2(a1),x461),f12(a3,x461))),
% 60.94/60.98 inference(scs_inference,[],[4,6,9,23,22,21,20,19,16,34])).
% 60.94/60.98 cnf(64,plain,
% 60.94/60.98 (P1(x641,f11(x641,f7(f6(f15(a4)))))),
% 60.94/60.98 inference(scs_inference,[],[1,8,36,46,32,30,24])).
% 60.94/60.98 cnf(74,plain,
% 60.94/60.98 (~P1(f8(f16(a1),f7(f6(f15(a4)))),f8(f16(a5),a9))),
% 60.94/60.98 inference(scs_inference,[],[14,1,24])).
% 60.94/60.98 cnf(183,plain,
% 60.94/60.98 (P1(f11(f8(f16(a1),x1831),f7(f6(f15(a4)))),f8(f16(a5),f11(a9,x1831)))),
% 60.94/60.98 inference(scs_inference,[],[9,64,1,32,24])).
% 60.94/60.98 cnf(356,plain,
% 60.94/60.98 (P1(f8(f16(a5),f11(a9,x3561)),f8(f16(a1),x3561))),
% 60.94/60.98 inference(scs_inference,[],[183,8,24])).
% 60.94/60.98 cnf(1552,plain,
% 60.94/60.98 ($false),
% 60.94/60.98 inference(scs_inference,[],[356,74,2,8,24,33]),
% 60.94/60.98 ['proof']).
% 60.94/60.98 % SZS output end Proof
% 60.94/60.98 % Total time :60.330000s
%------------------------------------------------------------------------------