TSTP Solution File: SYN010-1.005.005 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN010-1.005.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n022.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 01:43:42 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN010-1.005.005 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n022.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 17:48:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % File :CSE---1.6
% 0.20/0.61 % Problem :theBenchmark
% 0.20/0.61 % Transform :cnf
% 0.20/0.61 % Format :tptp:raw
% 0.20/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.61
% 0.20/0.61 % Result :Theorem 0.000000s
% 0.20/0.61 % Output :CNFRefutation 0.000000s
% 0.20/0.61 %-------------------------------------------
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 % File : SYN010-1.005.005 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.62 % Domain : Syntactic
% 0.20/0.62 % Problem : Example for Proposition 5.2 in [LMG94]
% 0.20/0.62 % Version : Biased.
% 0.20/0.62 % English : Example to show that connection tableaux with factorization
% 0.20/0.62 % cannot polynomially simulate simulate connection tableaux with
% 0.20/0.62 % folding up.
% 0.20/0.62
% 0.20/0.62 % Refs : [LMG94] Letz et al. (1994), Controlled Integration of the Cut
% 0.20/0.62 % Source : [LMG94]
% 0.20/0.62 % Names : Example 5.1 [LMG94]
% 0.20/0.62
% 0.20/0.62 % Status : Unsatisfiable
% 0.20/0.62 % Rating : 0.00 v2.1.0
% 0.20/0.62 % Syntax : Number of clauses : 27 ( 6 unt; 0 nHn; 27 RR)
% 0.20/0.62 % Number of literals : 132 ( 0 equ; 106 neg)
% 0.20/0.62 % Maximal clause size : 6 ( 4 avg)
% 0.20/0.62 % Maximal term depth : 0 ( 0 avg)
% 0.20/0.62 % Number of predicates : 26 ( 26 usr; 26 prp; 0-0 aty)
% 0.20/0.62 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.20/0.62 % Number of variables : 0 ( 0 sgn)
% 0.20/0.62 % SPC : CNF_UNS_PRP
% 0.20/0.62
% 0.20/0.62 % Comments : Biased towards folding up.
% 0.20/0.62 % : tptp2X: -f tptp -s5:5 SYN010-1.g
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 cnf(clause_1,negated_conjecture,
% 0.20/0.62 ~ p_0 ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_2,negated_conjecture,
% 0.20/0.62 ( p_0
% 0.20/0.62 | ~ p_1_1
% 0.20/0.62 | ~ p_1_2
% 0.20/0.62 | ~ p_1_3
% 0.20/0.62 | ~ p_1_4
% 0.20/0.62 | ~ p_1_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_3,negated_conjecture,
% 0.20/0.62 ( p_1_1
% 0.20/0.62 | ~ p_2_1
% 0.20/0.62 | ~ p_2_2
% 0.20/0.62 | ~ p_2_3
% 0.20/0.62 | ~ p_2_4
% 0.20/0.62 | ~ p_2_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_4,negated_conjecture,
% 0.20/0.62 ( p_1_2
% 0.20/0.62 | ~ p_2_1
% 0.20/0.62 | ~ p_2_2
% 0.20/0.62 | ~ p_2_3
% 0.20/0.62 | ~ p_2_4
% 0.20/0.62 | ~ p_2_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_5,negated_conjecture,
% 0.20/0.62 ( p_1_3
% 0.20/0.62 | ~ p_2_1
% 0.20/0.62 | ~ p_2_2
% 0.20/0.62 | ~ p_2_3
% 0.20/0.62 | ~ p_2_4
% 0.20/0.62 | ~ p_2_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_6,negated_conjecture,
% 0.20/0.62 ( p_1_4
% 0.20/0.62 | ~ p_2_1
% 0.20/0.62 | ~ p_2_2
% 0.20/0.62 | ~ p_2_3
% 0.20/0.62 | ~ p_2_4
% 0.20/0.62 | ~ p_2_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_7,negated_conjecture,
% 0.20/0.62 ( p_1_5
% 0.20/0.62 | ~ p_2_1
% 0.20/0.62 | ~ p_2_2
% 0.20/0.62 | ~ p_2_3
% 0.20/0.62 | ~ p_2_4
% 0.20/0.62 | ~ p_2_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_8,negated_conjecture,
% 0.20/0.62 ( p_2_1
% 0.20/0.62 | ~ p_3_1
% 0.20/0.62 | ~ p_3_2
% 0.20/0.62 | ~ p_3_3
% 0.20/0.62 | ~ p_3_4
% 0.20/0.62 | ~ p_3_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_9,negated_conjecture,
% 0.20/0.62 ( p_2_2
% 0.20/0.62 | ~ p_3_1
% 0.20/0.62 | ~ p_3_2
% 0.20/0.62 | ~ p_3_3
% 0.20/0.62 | ~ p_3_4
% 0.20/0.62 | ~ p_3_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_10,negated_conjecture,
% 0.20/0.62 ( p_2_3
% 0.20/0.62 | ~ p_3_1
% 0.20/0.62 | ~ p_3_2
% 0.20/0.62 | ~ p_3_3
% 0.20/0.62 | ~ p_3_4
% 0.20/0.62 | ~ p_3_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_11,negated_conjecture,
% 0.20/0.62 ( p_2_4
% 0.20/0.62 | ~ p_3_1
% 0.20/0.62 | ~ p_3_2
% 0.20/0.62 | ~ p_3_3
% 0.20/0.62 | ~ p_3_4
% 0.20/0.62 | ~ p_3_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_12,negated_conjecture,
% 0.20/0.62 ( p_2_5
% 0.20/0.62 | ~ p_3_1
% 0.20/0.62 | ~ p_3_2
% 0.20/0.62 | ~ p_3_3
% 0.20/0.62 | ~ p_3_4
% 0.20/0.62 | ~ p_3_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_13,negated_conjecture,
% 0.20/0.62 ( p_3_1
% 0.20/0.62 | ~ p_4_1
% 0.20/0.62 | ~ p_4_2
% 0.20/0.62 | ~ p_4_3
% 0.20/0.62 | ~ p_4_4
% 0.20/0.62 | ~ p_4_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_14,negated_conjecture,
% 0.20/0.62 ( p_3_2
% 0.20/0.62 | ~ p_4_1
% 0.20/0.62 | ~ p_4_2
% 0.20/0.62 | ~ p_4_3
% 0.20/0.62 | ~ p_4_4
% 0.20/0.62 | ~ p_4_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_15,negated_conjecture,
% 0.20/0.62 ( p_3_3
% 0.20/0.62 | ~ p_4_1
% 0.20/0.62 | ~ p_4_2
% 0.20/0.62 | ~ p_4_3
% 0.20/0.62 | ~ p_4_4
% 0.20/0.62 | ~ p_4_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_16,negated_conjecture,
% 0.20/0.62 ( p_3_4
% 0.20/0.62 | ~ p_4_1
% 0.20/0.62 | ~ p_4_2
% 0.20/0.62 | ~ p_4_3
% 0.20/0.62 | ~ p_4_4
% 0.20/0.62 | ~ p_4_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_17,negated_conjecture,
% 0.20/0.62 ( p_3_5
% 0.20/0.62 | ~ p_4_1
% 0.20/0.62 | ~ p_4_2
% 0.20/0.62 | ~ p_4_3
% 0.20/0.62 | ~ p_4_4
% 0.20/0.62 | ~ p_4_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_18,negated_conjecture,
% 0.20/0.62 ( p_4_1
% 0.20/0.62 | ~ p_5_1
% 0.20/0.62 | ~ p_5_2
% 0.20/0.62 | ~ p_5_3
% 0.20/0.62 | ~ p_5_4
% 0.20/0.62 | ~ p_5_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_19,negated_conjecture,
% 0.20/0.62 ( p_4_2
% 0.20/0.62 | ~ p_5_1
% 0.20/0.62 | ~ p_5_2
% 0.20/0.62 | ~ p_5_3
% 0.20/0.62 | ~ p_5_4
% 0.20/0.62 | ~ p_5_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_20,negated_conjecture,
% 0.20/0.62 ( p_4_3
% 0.20/0.62 | ~ p_5_1
% 0.20/0.62 | ~ p_5_2
% 0.20/0.62 | ~ p_5_3
% 0.20/0.62 | ~ p_5_4
% 0.20/0.62 | ~ p_5_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_21,negated_conjecture,
% 0.20/0.62 ( p_4_4
% 0.20/0.62 | ~ p_5_1
% 0.20/0.62 | ~ p_5_2
% 0.20/0.62 | ~ p_5_3
% 0.20/0.62 | ~ p_5_4
% 0.20/0.62 | ~ p_5_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_22,negated_conjecture,
% 0.20/0.62 ( p_4_5
% 0.20/0.62 | ~ p_5_1
% 0.20/0.62 | ~ p_5_2
% 0.20/0.62 | ~ p_5_3
% 0.20/0.62 | ~ p_5_4
% 0.20/0.62 | ~ p_5_5 ) ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_23,negated_conjecture,
% 0.20/0.62 p_5_1 ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_24,negated_conjecture,
% 0.20/0.62 p_5_2 ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_25,negated_conjecture,
% 0.20/0.62 p_5_3 ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_26,negated_conjecture,
% 0.20/0.62 p_5_4 ).
% 0.20/0.62
% 0.20/0.62 cnf(clause_27,negated_conjecture,
% 0.20/0.62 p_5_5 ).
% 0.20/0.62
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark
% 0.20/0.62 % SZS output start Proof
% 0.20/0.62 %ClaNum:27(EqnAxiom:0)
% 0.20/0.62 %VarNum:0(SingletonVarNum:0)
% 0.20/0.62 %MaxLitNum:6
% 0.20/0.62 %MaxfuncDepth:0
% 0.20/0.62 %SharedTerms:53
% 0.20/0.62 %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
% 0.20/0.62 %singleGoalClaCount:6
% 0.20/0.63 [1]P1(a500)
% 0.20/0.63 [2]P23(a500)
% 0.20/0.63 [3]P24(a500)
% 0.20/0.63 [4]P25(a500)
% 0.20/0.63 [5]P26(a500)
% 0.20/0.63 [6]~P2(a500)
% 0.20/0.63 [7]P2(a500)+~P3(a500)+~P4(a500)+~P5(a500)+~P6(a500)+~P7(a500)
% 0.20/0.63 [8]P3(a500)+~P8(a500)+~P9(a500)+~P10(a500)+~P11(a500)+~P12(a500)
% 0.20/0.63 [9]P4(a500)+~P8(a500)+~P9(a500)+~P10(a500)+~P11(a500)+~P12(a500)
% 0.20/0.63 [10]P5(a500)+~P8(a500)+~P9(a500)+~P10(a500)+~P11(a500)+~P12(a500)
% 0.20/0.63 [11]P6(a500)+~P8(a500)+~P9(a500)+~P10(a500)+~P11(a500)+~P12(a500)
% 0.20/0.63 [12]P7(a500)+~P8(a500)+~P9(a500)+~P10(a500)+~P11(a500)+~P12(a500)
% 0.20/0.63 [13]P8(a500)+~P13(a500)+~P14(a500)+~P15(a500)+~P16(a500)+~P17(a500)
% 0.20/0.63 [14]P9(a500)+~P13(a500)+~P14(a500)+~P15(a500)+~P16(a500)+~P17(a500)
% 0.20/0.63 [15]P10(a500)+~P13(a500)+~P14(a500)+~P15(a500)+~P16(a500)+~P17(a500)
% 0.20/0.63 [16]P11(a500)+~P13(a500)+~P14(a500)+~P15(a500)+~P16(a500)+~P17(a500)
% 0.20/0.63 [17]P12(a500)+~P13(a500)+~P14(a500)+~P15(a500)+~P16(a500)+~P17(a500)
% 0.20/0.63 [18]P13(a500)+~P18(a500)+~P19(a500)+~P20(a500)+~P21(a500)+~P22(a500)
% 0.20/0.63 [19]P14(a500)+~P18(a500)+~P19(a500)+~P20(a500)+~P21(a500)+~P22(a500)
% 0.20/0.63 [20]P15(a500)+~P18(a500)+~P19(a500)+~P20(a500)+~P21(a500)+~P22(a500)
% 0.20/0.63 [21]P16(a500)+~P18(a500)+~P19(a500)+~P20(a500)+~P21(a500)+~P22(a500)
% 0.20/0.63 [22]P17(a500)+~P18(a500)+~P19(a500)+~P20(a500)+~P21(a500)+~P22(a500)
% 0.20/0.63 [23]P18(a500)+~P1(a500)+~P23(a500)+~P24(a500)+~P25(a500)+~P26(a500)
% 0.20/0.63 [24]P19(a500)+~P1(a500)+~P23(a500)+~P24(a500)+~P25(a500)+~P26(a500)
% 0.20/0.63 [25]P20(a500)+~P1(a500)+~P23(a500)+~P24(a500)+~P25(a500)+~P26(a500)
% 0.20/0.63 [26]P21(a500)+~P1(a500)+~P23(a500)+~P24(a500)+~P25(a500)+~P26(a500)
% 0.20/0.63 [27]P22(a500)+~P1(a500)+~P23(a500)+~P24(a500)+~P25(a500)+~P26(a500)
% 0.20/0.63 %EqnAxiom
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(48,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[1,2,3,4,5,6,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7]),
% 0.20/0.63 ['proof']).
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------