TSTP Solution File: SYN608-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN608-1 : 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 01:46:35 EDT 2023
% Result : Unsatisfiable 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN608-1 : 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 19:54:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.010000s
% 0.20/0.63 % Output :CNFRefutation 0.010000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 % File : SYN608-1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.63 % Domain : Syntactic
% 0.20/0.63 % Problem : Harrison problem 3828
% 0.20/0.63 % Version : Especial.
% 0.20/0.63 % English :
% 0.20/0.63
% 0.20/0.63 % Refs : [Har01] Email to G. Sutcliffe
% 0.20/0.63 % Source : [Har01]
% 0.20/0.63 % Names :
% 0.20/0.63
% 0.20/0.63 % Status : Unsatisfiable
% 0.20/0.63 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.25 v6.4.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.20 v5.1.0, 0.09 v5.0.0, 0.14 v4.1.0, 0.00 v2.5.0
% 0.20/0.63 % Syntax : Number of clauses : 30 ( 12 unt; 1 nHn; 27 RR)
% 0.20/0.63 % Number of literals : 62 ( 0 equ; 34 neg)
% 0.20/0.63 % Maximal clause size : 4 ( 2 avg)
% 0.20/0.63 % Maximal term depth : 7 ( 2 avg)
% 0.20/0.63 % Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty)
% 0.20/0.63 % Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% 0.20/0.63 % Number of variables : 54 ( 1 sgn)
% 0.20/0.63 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.63
% 0.20/0.63 % Comments :
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 cnf(c21_is_not_p16_1,negated_conjecture,
% 0.20/0.63 ~ p16(c21) ).
% 0.20/0.63
% 0.20/0.63 cnf(p2_2,negated_conjecture,
% 0.20/0.63 p2(X11,X11) ).
% 0.20/0.63
% 0.20/0.63 cnf(p5_3,negated_conjecture,
% 0.20/0.63 p5(X43,X43) ).
% 0.20/0.63
% 0.20/0.63 cnf(p3_4,negated_conjecture,
% 0.20/0.63 p3(X18,X18) ).
% 0.20/0.63
% 0.20/0.63 cnf(not_p5_5,negated_conjecture,
% 0.20/0.63 ~ p5(c21,f7(c20)) ).
% 0.20/0.63
% 0.20/0.63 cnf(p3_6,negated_conjecture,
% 0.20/0.63 p3(f12(c22,c21),f15(c22)) ).
% 0.20/0.63
% 0.20/0.63 cnf(p3_7,negated_conjecture,
% 0.20/0.63 p3(f12(f15(c22),c21),c22) ).
% 0.20/0.63
% 0.20/0.63 cnf(not_p3_8,negated_conjecture,
% 0.20/0.63 ~ p3(c19,f4(f6(f7(c20)))) ).
% 0.20/0.63
% 0.20/0.63 cnf(p16_9,negated_conjecture,
% 0.20/0.64 ( p16(X0)
% 0.20/0.64 | ~ p16(X1)
% 0.20/0.64 | ~ p5(X1,X0) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p5_10,negated_conjecture,
% 0.20/0.64 ( p5(f8(X48),f8(X49))
% 0.20/0.64 | ~ p5(X48,X49) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p2_11,negated_conjecture,
% 0.20/0.64 ( p2(f6(X14),f6(X15))
% 0.20/0.64 | ~ p5(X14,X15) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p2_12,negated_conjecture,
% 0.20/0.64 ( p2(f9(X16),f9(X17))
% 0.20/0.64 | ~ p3(X16,X17) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_13,negated_conjecture,
% 0.20/0.64 ( p3(f13(X33),f13(X34))
% 0.20/0.64 | ~ p5(X33,X34) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_14,negated_conjecture,
% 0.20/0.64 ( p3(f15(X39),f15(X40))
% 0.20/0.64 | ~ p3(X39,X40) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_15,negated_conjecture,
% 0.20/0.64 ( p3(f4(X41),f4(X42))
% 0.20/0.64 | ~ p2(X41,X42) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p5_16,negated_conjecture,
% 0.20/0.64 ( p5(f7(X46),f7(X47))
% 0.20/0.64 | ~ p5(X46,X47) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p2_17,negated_conjecture,
% 0.20/0.64 ( p2(X12,X13)
% 0.20/0.64 | ~ p2(X11,X12)
% 0.20/0.64 | ~ p2(X11,X13) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p5_18,negated_conjecture,
% 0.20/0.64 ( p5(X44,X45)
% 0.20/0.64 | ~ p5(X43,X44)
% 0.20/0.64 | ~ p5(X43,X45) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_19,negated_conjecture,
% 0.20/0.64 ( p3(X19,X20)
% 0.20/0.64 | ~ p3(X18,X19)
% 0.20/0.64 | ~ p3(X18,X20) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p17_20,negated_conjecture,
% 0.20/0.64 ( p17(X2,X3)
% 0.20/0.64 | ~ p2(X4,X2)
% 0.20/0.64 | ~ p2(X5,X3)
% 0.20/0.64 | ~ p17(X4,X5) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p18_21,negated_conjecture,
% 0.20/0.64 ( p18(X7,X8)
% 0.20/0.64 | ~ p5(X9,X7)
% 0.20/0.64 | ~ p5(X10,X8)
% 0.20/0.64 | ~ p18(X9,X10) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_22,negated_conjecture,
% 0.20/0.64 p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_23,negated_conjecture,
% 0.20/0.64 ( p3(f14(X35,X36),f14(X37,X38))
% 0.20/0.64 | ~ p3(X35,X37)
% 0.20/0.64 | ~ p3(X36,X38) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_24,negated_conjecture,
% 0.20/0.64 ( p3(f10(X21,X22),f10(X23,X24))
% 0.20/0.64 | ~ p3(X21,X23)
% 0.20/0.64 | ~ p3(X22,X24) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_25,negated_conjecture,
% 0.20/0.64 ( p3(f11(X25,X26),f11(X27,X28))
% 0.20/0.64 | ~ p3(X25,X27)
% 0.20/0.64 | ~ p3(X26,X28) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_26,negated_conjecture,
% 0.20/0.64 ( p3(f12(X29,X30),f12(X31,X32))
% 0.20/0.64 | ~ p3(X29,X31)
% 0.20/0.64 | ~ p5(X30,X32) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(p17_27,negated_conjecture,
% 0.20/0.64 p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))) ).
% 0.20/0.64
% 0.20/0.64 cnf(p3_28,negated_conjecture,
% 0.20/0.64 p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))) ).
% 0.20/0.64
% 0.20/0.64 cnf(not_p17_29,negated_conjecture,
% 0.20/0.64 ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X50,c21))),f6(f7(f8(c20)))) ).
% 0.20/0.64
% 0.20/0.64 cnf(p5_30,negated_conjecture,
% 0.20/0.64 ( p5(X6,f7(c20))
% 0.20/0.64 | p3(c19,f4(f6(f7(c20))))
% 0.20/0.64 | p17(f9(f10(f4(f6(f7(f8(c20)))),f11(c19,f12(f13(X6),X6)))),f6(f7(f8(c20))))
% 0.20/0.64 | ~ p18(X6,c21) ) ).
% 0.20/0.64
% 0.20/0.64 %--------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:30(EqnAxiom:0)
% 0.20/0.64 %VarNum:109(SingletonVarNum:54)
% 0.20/0.64 %MaxLitNum:4
% 0.20/0.64 %MaxfuncDepth:6
% 0.20/0.64 %SharedTerms:31
% 0.20/0.64 %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
% 0.20/0.64 %singleGoalClaCount:12
% 0.20/0.64 [9]~P3(a2)
% 0.20/0.64 [4]P6(f5(a1,a2),f8(a1))
% 0.20/0.64 [10]~P5(a2,f12(a3))
% 0.20/0.64 [5]P6(f5(f8(a1),a2),a1)
% 0.20/0.64 [7]P2(f15(f6(f9(f14(f15(a4)),a4),f8(a1))),f13(f12(f11(a3))))
% 0.20/0.64 [11]~P6(a4,f14(f13(f12(a3))))
% 0.20/0.64 [6]P6(f5(f14(f13(f12(f11(a3)))),a2),f14(f13(f12(f11(a3)))))
% 0.20/0.64 [8]P6(f5(f8(f14(f13(f12(f11(a3))))),a2),f8(f14(f13(f12(f11(a3))))))
% 0.20/0.64 [1]P1(x11,x11)
% 0.20/0.64 [2]P5(x21,x21)
% 0.20/0.64 [3]P6(x31,x31)
% 0.20/0.64 [12]~P2(f15(f6(f9(f14(f15(a4)),a4),f5(x121,a2))),f13(f12(f11(a3))))
% 0.20/0.64 [14]~P5(x141,x142)+P1(f13(x141),f13(x142))
% 0.20/0.64 [15]~P6(x151,x152)+P1(f15(x151),f15(x152))
% 0.20/0.64 [16]~P5(x161,x162)+P5(f12(x161),f12(x162))
% 0.20/0.64 [17]~P5(x171,x172)+P5(f11(x171),f11(x172))
% 0.20/0.64 [18]~P6(x181,x182)+P6(f8(x181),f8(x182))
% 0.20/0.64 [19]~P1(x191,x192)+P6(f14(x191),f14(x192))
% 0.20/0.64 [20]~P5(x201,x202)+P6(f10(x201),f10(x202))
% 0.20/0.64 [13]~P5(x132,x131)+P3(x131)+~P3(x132)
% 0.20/0.64 [21]~P1(x213,x211)+P1(x211,x212)+~P1(x213,x212)
% 0.20/0.64 [22]~P5(x223,x221)+P5(x221,x222)+~P5(x223,x222)
% 0.20/0.64 [23]~P6(x233,x231)+P6(x231,x232)+~P6(x233,x232)
% 0.20/0.64 [26]~P5(x262,x264)+~P6(x261,x263)+P6(f5(x261,x262),f5(x263,x264))
% 0.20/0.64 [27]~P6(x272,x274)+~P6(x271,x273)+P6(f9(x271,x272),f9(x273,x274))
% 0.20/0.64 [28]~P6(x282,x284)+~P6(x281,x283)+P6(f6(x281,x282),f6(x283,x284))
% 0.20/0.64 [29]~P6(x292,x294)+~P6(x291,x293)+P6(f7(x291,x292),f7(x293,x294))
% 0.20/0.64 [30]~P4(x301,a2)+P5(x301,f12(a3))+P6(a4,f14(f13(f12(a3))))+P2(f15(f6(f14(f13(f12(f11(a3)))),f7(a4,f5(f10(x301),x301)))),f13(f12(f11(a3))))
% 0.20/0.64 [24]~P2(x244,x243)+P2(x241,x242)+~P1(x243,x242)+~P1(x244,x241)
% 0.20/0.64 [25]~P4(x254,x253)+P4(x251,x252)+~P5(x253,x252)+~P5(x254,x251)
% 0.20/0.64 %EqnAxiom
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(32,plain,
% 0.20/0.64 (P1(f15(f5(a1,a2)),f15(f8(a1)))),
% 0.20/0.64 inference(scs_inference,[],[4,18,15])).
% 0.20/0.64 cnf(55,plain,
% 0.20/0.64 (~P4(x551,a2)+P5(x551,f12(a3))+P2(f15(f6(f14(f13(f12(f11(a3)))),f7(a4,f5(f10(x551),x551)))),f13(f12(f11(a3))))),
% 0.20/0.64 inference(scs_inference,[],[11,30])).
% 0.20/0.64 cnf(73,plain,
% 0.20/0.64 (~P6(f6(f9(f14(f15(a4)),a4),f8(a1)),f6(f9(f14(f15(a4)),a4),f5(x731,a2)))),
% 0.20/0.64 inference(scs_inference,[],[1,5,3,7,12,10,2,32,19,29,28,27,23,55,26,24,15])).
% 0.20/0.64 cnf(79,plain,
% 0.20/0.64 (P6(x791,x791)),
% 0.20/0.64 inference(rename_variables,[],[3])).
% 0.20/0.64 cnf(81,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[3,79,4,73,32,1,21,28,23]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.010000s
%------------------------------------------------------------------------------