TSTP Solution File: SYN587-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN587-1 : 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 : n015.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 01:46:30 EDT 2023
% Result : Unsatisfiable 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYN587-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:43:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.040000s
% 0.20/0.66 % Output :CNFRefutation 0.040000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 %--------------------------------------------------------------------------
% 0.20/0.66 % File : SYN587-1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.66 % Domain : Syntactic
% 0.20/0.66 % Problem : Harrison problem 3572
% 0.20/0.66 % Version : Especial.
% 0.20/0.66 % English :
% 0.20/0.66
% 0.20/0.66 % Refs : [Har01] Email to G. Sutcliffe
% 0.20/0.66 % Source : [Har01]
% 0.20/0.66 % Names :
% 0.20/0.66
% 0.20/0.66 % Status : Unsatisfiable
% 0.20/0.66 % Rating : 0.00 v6.0.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.3.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v2.5.0
% 0.20/0.66 % Syntax : Number of clauses : 26 ( 9 unt; 2 nHn; 21 RR)
% 0.20/0.66 % Number of literals : 56 ( 0 equ; 29 neg)
% 0.20/0.66 % Maximal clause size : 6 ( 2 avg)
% 0.20/0.67 % Maximal term depth : 7 ( 2 avg)
% 0.20/0.67 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.20/0.67 % Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% 0.20/0.67 % Number of variables : 52 ( 0 sgn)
% 0.20/0.67 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 cnf(p12_1,negated_conjecture,
% 0.20/0.67 p12(X0,X0) ).
% 0.20/0.67
% 0.20/0.67 cnf(p5_2,negated_conjecture,
% 0.20/0.67 p5(X37,X37) ).
% 0.20/0.67
% 0.20/0.67 cnf(p3_3,negated_conjecture,
% 0.20/0.67 p3(X24,X24) ).
% 0.20/0.67
% 0.20/0.67 cnf(p2_4,negated_conjecture,
% 0.20/0.67 p2(X13,X13) ).
% 0.20/0.67
% 0.20/0.67 cnf(p3_5,negated_conjecture,
% 0.20/0.67 p3(c21,c19) ).
% 0.20/0.67
% 0.20/0.67 cnf(not_p12_6,negated_conjecture,
% 0.20/0.67 ~ p12(f13(c20),f13(c18)) ).
% 0.20/0.67
% 0.20/0.67 cnf(p12_7,negated_conjecture,
% 0.20/0.67 ( p12(f13(X3),f13(X4))
% 0.20/0.67 | ~ p2(X3,X4) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p5_8,negated_conjecture,
% 0.20/0.67 ( p5(f7(X42),f7(X43))
% 0.20/0.67 | ~ p3(X42,X43) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p5_9,negated_conjecture,
% 0.20/0.67 ( p5(f10(X40),f10(X41))
% 0.20/0.67 | ~ p5(X40,X41) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p3_10,negated_conjecture,
% 0.20/0.67 ( p3(f9(X35),f9(X36))
% 0.20/0.67 | ~ p3(X35,X36) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p3_11,negated_conjecture,
% 0.20/0.67 ( p3(f8(X33),f8(X34))
% 0.20/0.67 | ~ p3(X33,X34) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p3_12,negated_conjecture,
% 0.20/0.67 ( p3(f11(X27),f11(X28))
% 0.20/0.67 | ~ p3(X27,X28) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p12_13,negated_conjecture,
% 0.20/0.67 ( p12(X1,X2)
% 0.20/0.67 | ~ p12(X0,X1)
% 0.20/0.67 | ~ p12(X0,X2) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p5_14,negated_conjecture,
% 0.20/0.67 ( p5(X38,X39)
% 0.20/0.67 | ~ p5(X37,X38)
% 0.20/0.67 | ~ p5(X37,X39) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p3_15,negated_conjecture,
% 0.20/0.67 ( p3(X25,X26)
% 0.20/0.67 | ~ p3(X24,X25)
% 0.20/0.67 | ~ p3(X24,X26) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p2_16,negated_conjecture,
% 0.20/0.67 ( p2(X14,X15)
% 0.20/0.67 | ~ p2(X13,X14)
% 0.20/0.67 | ~ p2(X13,X15) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p15_17,negated_conjecture,
% 0.20/0.67 ( p15(X9,X10)
% 0.20/0.67 | ~ p2(X11,X9)
% 0.20/0.67 | ~ p2(X12,X10)
% 0.20/0.67 | ~ p15(X11,X12) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p15_18,negated_conjecture,
% 0.20/0.67 p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) ).
% 0.20/0.67
% 0.20/0.67 cnf(not_p15_19,negated_conjecture,
% 0.20/0.67 ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20) ).
% 0.20/0.67
% 0.20/0.67 cnf(p2_20,negated_conjecture,
% 0.20/0.67 ( p2(f4(X16,X17),f4(X18,X19))
% 0.20/0.67 | ~ p2(X16,X18)
% 0.20/0.67 | ~ p3(X17,X19) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p3_21,negated_conjecture,
% 0.20/0.67 ( p3(f14(X29,X30),f14(X31,X32))
% 0.20/0.67 | ~ p2(X29,X31)
% 0.20/0.67 | ~ p5(X30,X32) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p2_22,negated_conjecture,
% 0.20/0.67 ( p2(f6(X20,X21),f6(X22,X23))
% 0.20/0.67 | ~ p2(X21,X23)
% 0.20/0.67 | ~ p5(X20,X22) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(not_p15_23,negated_conjecture,
% 0.20/0.67 ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20) ).
% 0.20/0.67
% 0.20/0.67 cnf(p12_24,negated_conjecture,
% 0.20/0.67 ( p12(f13(X5),f13(c18))
% 0.20/0.67 | p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f14(X5,X6)),X5) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p12_25,negated_conjecture,
% 0.20/0.67 ( p12(f13(X5),f13(c18))
% 0.20/0.67 | ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(f14(X5,X6))),X5) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(p3_26,negated_conjecture,
% 0.20/0.67 ( p3(X7,X8)
% 0.20/0.67 | p12(f13(X5),f13(c18))
% 0.20/0.67 | p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5)
% 0.20/0.67 | p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5)
% 0.20/0.67 | ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)
% 0.20/0.67 | ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5) ) ).
% 0.20/0.67
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:26(EqnAxiom:0)
% 0.20/0.67 %VarNum:113(SingletonVarNum:52)
% 0.20/0.67 %MaxLitNum:6
% 0.20/0.67 %MaxfuncDepth:6
% 0.20/0.67 %SharedTerms:23
% 0.20/0.67 %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
% 0.20/0.67 %singleGoalClaCount:9
% 0.20/0.67 [1]P1(a1,a2)
% 0.20/0.67 [7]~P2(f13(a6),f13(a5))
% 0.20/0.67 [9]~P4(f12(f11(f7(a3),f11(f10(f9(f8(a4))),a5)),f14(a2)),a6)
% 0.20/0.67 [6]P4(f12(f11(f7(a3),f11(f10(f9(f8(a4))),a5)),a2),a6)
% 0.20/0.67 [8]~P4(f12(f11(f7(a3),f11(f10(f9(f8(a4))),a5)),a1),a6)
% 0.20/0.67 [2]P2(x21,x21)
% 0.20/0.67 [3]P5(x31,x31)
% 0.20/0.67 [4]P1(x41,x41)
% 0.20/0.67 [5]P3(x51,x51)
% 0.20/0.67 [10]~P3(x101,x102)+P2(f13(x101),f13(x102))
% 0.20/0.67 [11]~P1(x111,x112)+P5(f10(x111),f10(x112))
% 0.20/0.67 [12]~P5(x121,x122)+P5(f7(x121),f7(x122))
% 0.20/0.67 [13]~P1(x131,x132)+P1(f8(x131),f8(x132))
% 0.20/0.67 [14]~P1(x141,x142)+P1(f9(x141),f9(x142))
% 0.20/0.67 [15]~P1(x151,x152)+P1(f14(x151),f14(x152))
% 0.20/0.67 [24]P2(f13(x241),f13(a5))+P4(f12(f11(f7(x242),f11(f10(f9(f8(a4))),a5)),f15(x241,x242)),x241)
% 0.20/0.67 [25]P2(f13(x251),f13(a5))+~P4(f12(f11(f7(x252),f11(f10(f9(f8(a4))),a5)),f14(f15(x251,x252))),x251)
% 0.20/0.67 [16]~P2(x163,x161)+P2(x161,x162)+~P2(x163,x162)
% 0.20/0.67 [17]~P5(x173,x171)+P5(x171,x172)+~P5(x173,x172)
% 0.20/0.67 [18]~P1(x183,x181)+P1(x181,x182)+~P1(x183,x182)
% 0.20/0.67 [19]~P3(x193,x191)+P3(x191,x192)+~P3(x193,x192)
% 0.20/0.67 [21]~P5(x212,x214)+~P3(x211,x213)+P1(f15(x211,x212),f15(x213,x214))
% 0.20/0.67 [22]~P5(x221,x223)+~P3(x222,x224)+P3(f11(x221,x222),f11(x223,x224))
% 0.20/0.67 [23]~P1(x232,x234)+~P3(x231,x233)+P3(f12(x231,x232),f12(x233,x234))
% 0.20/0.67 [20]~P4(x204,x203)+P4(x201,x202)+~P3(x203,x202)+~P3(x204,x201)
% 0.20/0.67 [26]P1(x261,x262)+P2(f13(x263),f13(a5))+P4(f12(f11(f7(x264),f11(f10(f9(f8(a4))),a5)),f14(x261)),x263)+P4(f12(f11(f7(x264),f11(f10(f9(f8(a4))),a5)),f14(x262)),x263)+~P4(f12(f11(f7(x264),f11(f10(f9(f8(a4))),a5)),x261),x263)+~P4(f12(f11(f7(x264),f11(f10(f9(f8(a4))),a5)),x262),x263)
% 0.20/0.67 %EqnAxiom
% 0.20/0.67
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 cnf(28,plain,
% 0.20/0.67 (P1(a2,a1)),
% 0.20/0.67 inference(scs_inference,[],[1,4,7,10,18])).
% 0.20/0.67 cnf(41,plain,
% 0.20/0.67 (P5(f10(a1),f10(a2))),
% 0.20/0.67 inference(scs_inference,[],[1,4,7,10,18,25,24,15,14,13,11])).
% 0.20/0.67 cnf(57,plain,
% 0.20/0.67 (P5(f7(f10(a1)),f7(f10(a2)))),
% 0.20/0.67 inference(scs_inference,[],[41,12])).
% 0.20/0.67 cnf(94,plain,
% 0.20/0.67 (~P3(a6,a6)),
% 0.20/0.67 inference(scs_inference,[],[8,6,28,5,57,12,22,23,20])).
% 0.20/0.67 cnf(98,plain,
% 0.20/0.67 ($false),
% 0.20/0.67 inference(scs_inference,[],[94,5]),
% 0.20/0.67 ['proof']).
% 0.20/0.67 % SZS output end Proof
% 0.20/0.67 % Total time :0.040000s
%------------------------------------------------------------------------------