TSTP Solution File: SYN098-1.002 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN098-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 01:44:11 EDT 2023
% Result : Unsatisfiable 0.52s 0.62s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN098-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 19:11:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.52/0.60 %-------------------------------------------
% 0.52/0.60 % File :CSE---1.6
% 0.52/0.60 % Problem :theBenchmark
% 0.52/0.60 % Transform :cnf
% 0.52/0.60 % Format :tptp:raw
% 0.52/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.60
% 0.52/0.60 % Result :Theorem 0.030000s
% 0.52/0.60 % Output :CNFRefutation 0.030000s
% 0.52/0.61 %-------------------------------------------
% 0.52/0.61 %--------------------------------------------------------------------------
% 0.52/0.61 % File : SYN098-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.52/0.61 % Domain : Syntactic
% 0.52/0.61 % Problem : Plaisted problem sym(u(t(3,2)))
% 0.52/0.61 % Version : Biased.
% 0.52/0.61 % English :
% 0.52/0.61
% 0.52/0.61 % Refs : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% 0.52/0.61 % Source : [Pla94]
% 0.52/0.61 % Names : Sym(U(T3n)) [Pla94]
% 0.52/0.61
% 0.52/0.61 % Status : Unsatisfiable
% 0.52/0.61 % Rating : 0.33 v5.5.0, 0.00 v4.1.0, 0.20 v4.0.1, 0.00 v2.1.0
% 0.52/0.61 % Syntax : Number of clauses : 68 ( 2 unt; 25 nHn; 68 RR)
% 0.52/0.61 % Number of literals : 176 ( 0 equ; 88 neg)
% 0.52/0.61 % Maximal clause size : 4 ( 2 avg)
% 0.52/0.61 % Maximal term depth : 0 ( 0 avg)
% 0.52/0.61 % Number of predicates : 54 ( 54 usr; 54 prp; 0-0 aty)
% 0.52/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.52/0.61 % Number of variables : 0 ( 0 sgn)
% 0.52/0.61 % SPC : CNF_UNS_PRP
% 0.52/0.61
% 0.52/0.61 % Comments : Biased away from various calculi.
% 0.52/0.61 % : tptp2X: -f tptp -s2 SYN098-1.g
% 0.52/0.61 % Bugfixes : v1.2.0 - Bugfix in SYN086-1.
% 0.52/0.61 % : v1.2.1 - Bugfix in SYN086-1.
% 0.52/0.61 %--------------------------------------------------------------------------
% 0.52/0.61 cnf(u_s3_goal_1,negated_conjecture,
% 0.52/0.61 ( u_1
% 0.52/0.61 | ~ p_0
% 0.52/0.61 | ~ q_0 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_1_s3_goal_1,axiom,
% 0.52/0.61 ~ u_1 ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type11_1,axiom,
% 0.52/0.61 ( u_2
% 0.52/0.61 | p_0
% 0.52/0.61 | ~ p_1
% 0.52/0.61 | ~ p_2 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_2_s3_type11_1,axiom,
% 0.52/0.61 ( p_0
% 0.52/0.61 | ~ u_2 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type11_2,axiom,
% 0.52/0.61 ( u_3
% 0.52/0.61 | p_0
% 0.52/0.61 | ~ q_1
% 0.52/0.61 | ~ q_2 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_3_s3_type11_2,axiom,
% 0.52/0.61 ( p_0
% 0.52/0.61 | ~ u_3 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type11_3,axiom,
% 0.52/0.61 ( u_4
% 0.52/0.61 | p_1
% 0.52/0.61 | ~ p_2
% 0.52/0.61 | ~ p_3 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_4_s3_type11_3,axiom,
% 0.52/0.61 ( p_1
% 0.52/0.61 | ~ u_4 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type11_4,axiom,
% 0.52/0.61 ( u_5
% 0.52/0.61 | p_1
% 0.52/0.61 | ~ q_2
% 0.52/0.61 | ~ q_3 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_5_s3_type11_4,axiom,
% 0.52/0.61 ( p_1
% 0.52/0.61 | ~ u_5 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type12_1,axiom,
% 0.52/0.61 ( u_6
% 0.52/0.61 | q_0
% 0.52/0.61 | ~ p_1
% 0.52/0.61 | ~ q_2 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_6_s3_type12_1,axiom,
% 0.52/0.61 ( q_0
% 0.52/0.61 | ~ u_6 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type12_2,axiom,
% 0.52/0.61 ( u_7
% 0.52/0.61 | q_0
% 0.52/0.61 | ~ q_1
% 0.52/0.61 | ~ p_2 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_7_s3_type12_2,axiom,
% 0.52/0.61 ( q_0
% 0.52/0.61 | ~ u_7 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type12_3,axiom,
% 0.52/0.61 ( u_8
% 0.52/0.61 | q_1
% 0.52/0.61 | ~ p_2
% 0.52/0.61 | ~ q_3 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_8_s3_type12_3,axiom,
% 0.52/0.61 ( q_1
% 0.52/0.61 | ~ u_8 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type12_4,axiom,
% 0.52/0.61 ( u_9
% 0.52/0.61 | q_1
% 0.52/0.61 | ~ q_2
% 0.52/0.61 | ~ p_3 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_9_s3_type12_4,axiom,
% 0.52/0.61 ( q_1
% 0.52/0.61 | ~ u_9 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type2_1,axiom,
% 0.52/0.61 ( u_10
% 0.52/0.61 | p_3
% 0.52/0.61 | ~ p_1 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_10_s3_type2_1,axiom,
% 0.52/0.61 ( p_3
% 0.52/0.61 | ~ u_10 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type2_2,axiom,
% 0.52/0.61 ( u_11
% 0.52/0.61 | p_4
% 0.52/0.61 | ~ p_2 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_11_s3_type2_2,axiom,
% 0.52/0.61 ( p_4
% 0.52/0.61 | ~ u_11 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type2_3,axiom,
% 0.52/0.61 ( u_12
% 0.52/0.61 | q_3
% 0.52/0.61 | ~ q_1 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_12_s3_type2_3,axiom,
% 0.52/0.61 ( q_3
% 0.52/0.61 | ~ u_12 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_s3_type2_4,axiom,
% 0.52/0.61 ( u_13
% 0.52/0.61 | q_4
% 0.52/0.61 | ~ q_2 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_13_s3_type2_4,axiom,
% 0.52/0.61 ( q_4
% 0.52/0.61 | ~ u_13 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_t3_1,axiom,
% 0.52/0.61 ( u_14
% 0.52/0.61 | p_2 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_14_t3_1,axiom,
% 0.52/0.61 ( p_2
% 0.52/0.61 | ~ u_14 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_t3_2,axiom,
% 0.52/0.61 ( u_15
% 0.52/0.61 | p_3 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_15_t3_2,axiom,
% 0.52/0.61 ( p_3
% 0.52/0.61 | ~ u_15 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_t3_3,axiom,
% 0.52/0.61 ( u_16
% 0.52/0.61 | q_2 ) ).
% 0.52/0.61
% 0.52/0.61 cnf(u_16_t3_3,axiom,
% 0.52/0.62 ( q_2
% 0.52/0.62 | ~ u_16 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(u_t3_4,axiom,
% 0.52/0.62 ( u_17
% 0.52/0.62 | q_3 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(u_17_t3_4,axiom,
% 0.52/0.62 ( q_3
% 0.52/0.62 | ~ u_17 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_goal_1,axiom,
% 0.52/0.62 ( ~ sym_u_1
% 0.52/0.62 | sym_p_0
% 0.52/0.62 | sym_q_0 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_1_s3_goal_1,axiom,
% 0.52/0.62 sym_u_1 ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type11_1,axiom,
% 0.52/0.62 ( ~ sym_u_2
% 0.52/0.62 | ~ sym_p_0
% 0.52/0.62 | sym_p_1
% 0.52/0.62 | sym_p_2 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_2_s3_type11_1,axiom,
% 0.52/0.62 ( ~ sym_p_0
% 0.52/0.62 | sym_u_2 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type11_2,axiom,
% 0.52/0.62 ( ~ sym_u_3
% 0.52/0.62 | ~ sym_p_0
% 0.52/0.62 | sym_q_1
% 0.52/0.62 | sym_q_2 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_3_s3_type11_2,axiom,
% 0.52/0.62 ( ~ sym_p_0
% 0.52/0.62 | sym_u_3 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type11_3,axiom,
% 0.52/0.62 ( ~ sym_u_4
% 0.52/0.62 | ~ sym_p_1
% 0.52/0.62 | sym_p_2
% 0.52/0.62 | sym_p_3 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_4_s3_type11_3,axiom,
% 0.52/0.62 ( ~ sym_p_1
% 0.52/0.62 | sym_u_4 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type11_4,axiom,
% 0.52/0.62 ( ~ sym_u_5
% 0.52/0.62 | ~ sym_p_1
% 0.52/0.62 | sym_q_2
% 0.52/0.62 | sym_q_3 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_5_s3_type11_4,axiom,
% 0.52/0.62 ( ~ sym_p_1
% 0.52/0.62 | sym_u_5 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type12_1,axiom,
% 0.52/0.62 ( ~ sym_u_6
% 0.52/0.62 | ~ sym_q_0
% 0.52/0.62 | sym_p_1
% 0.52/0.62 | sym_q_2 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_6_s3_type12_1,axiom,
% 0.52/0.62 ( ~ sym_q_0
% 0.52/0.62 | sym_u_6 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type12_2,axiom,
% 0.52/0.62 ( ~ sym_u_7
% 0.52/0.62 | ~ sym_q_0
% 0.52/0.62 | sym_q_1
% 0.52/0.62 | sym_p_2 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_7_s3_type12_2,axiom,
% 0.52/0.62 ( ~ sym_q_0
% 0.52/0.62 | sym_u_7 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type12_3,axiom,
% 0.52/0.62 ( ~ sym_u_8
% 0.52/0.62 | ~ sym_q_1
% 0.52/0.62 | sym_p_2
% 0.52/0.62 | sym_q_3 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_8_s3_type12_3,axiom,
% 0.52/0.62 ( ~ sym_q_1
% 0.52/0.62 | sym_u_8 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type12_4,axiom,
% 0.52/0.62 ( ~ sym_u_9
% 0.52/0.62 | ~ sym_q_1
% 0.52/0.62 | sym_q_2
% 0.52/0.62 | sym_p_3 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_9_s3_type12_4,axiom,
% 0.52/0.62 ( ~ sym_q_1
% 0.52/0.62 | sym_u_9 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type2_1,axiom,
% 0.52/0.62 ( ~ sym_u_10
% 0.52/0.62 | ~ sym_p_3
% 0.52/0.62 | sym_p_1 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_10_s3_type2_1,axiom,
% 0.52/0.62 ( ~ sym_p_3
% 0.52/0.62 | sym_u_10 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type2_2,axiom,
% 0.52/0.62 ( ~ sym_u_11
% 0.52/0.62 | ~ sym_p_4
% 0.52/0.62 | sym_p_2 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_11_s3_type2_2,axiom,
% 0.52/0.62 ( ~ sym_p_4
% 0.52/0.62 | sym_u_11 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type2_3,axiom,
% 0.52/0.62 ( ~ sym_u_12
% 0.52/0.62 | ~ sym_q_3
% 0.52/0.62 | sym_q_1 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_12_s3_type2_3,axiom,
% 0.52/0.62 ( ~ sym_q_3
% 0.52/0.62 | sym_u_12 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_s3_type2_4,axiom,
% 0.52/0.62 ( ~ sym_u_13
% 0.52/0.62 | ~ sym_q_4
% 0.52/0.62 | sym_q_2 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_13_s3_type2_4,axiom,
% 0.52/0.62 ( ~ sym_q_4
% 0.52/0.62 | sym_u_13 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_t3_1,axiom,
% 0.52/0.62 ( ~ sym_u_14
% 0.52/0.62 | ~ sym_p_2 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_14_t3_1,axiom,
% 0.52/0.62 ( ~ sym_p_2
% 0.52/0.62 | sym_u_14 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_t3_2,axiom,
% 0.52/0.62 ( ~ sym_u_15
% 0.52/0.62 | ~ sym_p_3 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_15_t3_2,axiom,
% 0.52/0.62 ( ~ sym_p_3
% 0.52/0.62 | sym_u_15 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_t3_3,axiom,
% 0.52/0.62 ( ~ sym_u_16
% 0.52/0.62 | ~ sym_q_2 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_16_t3_3,axiom,
% 0.52/0.62 ( ~ sym_q_2
% 0.52/0.62 | sym_u_16 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_t3_4,axiom,
% 0.52/0.62 ( ~ sym_u_17
% 0.52/0.62 | ~ sym_q_3 ) ).
% 0.52/0.62
% 0.52/0.62 cnf(sym_u_17_t3_4,axiom,
% 0.52/0.62 ( ~ sym_q_3
% 0.52/0.62 | sym_u_17 ) ).
% 0.52/0.62
% 0.52/0.62 %--------------------------------------------------------------------------
% 0.52/0.62 %-------------------------------------------
% 0.52/0.62 % Proof found
% 0.52/0.62 % SZS status Theorem for theBenchmark
% 0.52/0.62 % SZS output start Proof
% 0.52/0.62 %ClaNum:68(EqnAxiom:0)
% 0.52/0.62 %VarNum:0(SingletonVarNum:0)
% 0.52/0.62 %MaxLitNum:4
% 0.52/0.62 %MaxfuncDepth:0
% 0.52/0.62 %SharedTerms:105
% 0.52/0.62 %goalClause: 48
% 0.52/0.62 [1]P1(a500)
% 0.52/0.62 [2]~P22(a500)
% 0.52/0.62 [3]P2(a500)+P39(a500)
% 0.52/0.62 [4]P5(a500)+P44(a500)
% 0.52/0.62 [5]P6(a500)+P45(a500)
% 0.52/0.62 [6]P10(a500)+P46(a500)
% 0.52/0.62 [7]P3(a500)+~P47(a500)
% 0.52/0.62 [8]P3(a500)+~P48(a500)
% 0.52/0.62 [9]P7(a500)+~P49(a500)
% 0.52/0.62 [10]P7(a500)+~P52(a500)
% 0.52/0.62 [11]P4(a500)+~P50(a500)
% 0.52/0.62 [12]P4(a500)+~P51(a500)
% 0.52/0.62 [13]P2(a500)+~P39(a500)
% 0.52/0.62 [14]P9(a500)+~P53(a500)
% 0.52/0.62 [15]P9(a500)+~P54(a500)
% 0.52/0.62 [16]P5(a500)+~P44(a500)
% 0.52/0.62 [17]P6(a500)+~P40(a500)
% 0.52/0.62 [18]P6(a500)+~P45(a500)
% 0.52/0.62 [19]P10(a500)+~P41(a500)
% 0.52/0.62 [20]P10(a500)+~P46(a500)
% 0.52/0.62 [21]P8(a500)+~P42(a500)
% 0.52/0.62 [22]P11(a500)+~P43(a500)
% 0.52/0.62 [23]P23(a500)+~P12(a500)
% 0.52/0.62 [24]P32(a500)+~P12(a500)
% 0.52/0.62 [25]P33(a500)+~P13(a500)
% 0.52/0.62 [26]P34(a500)+~P13(a500)
% 0.52/0.62 [27]P35(a500)+~P14(a500)
% 0.52/0.62 [28]P36(a500)+~P14(a500)
% 0.52/0.62 [29]P37(a500)+~P18(a500)
% 0.52/0.62 [30]P38(a500)+~P18(a500)
% 0.52/0.62 [31]P24(a500)+~P15(a500)
% 0.52/0.62 [32]P25(a500)+~P17(a500)
% 0.52/0.62 [33]P26(a500)+~P19(a500)
% 0.52/0.62 [34]P27(a500)+~P21(a500)
% 0.52/0.62 [35]P28(a500)+~P16(a500)
% 0.52/0.62 [36]P29(a500)+~P15(a500)
% 0.52/0.62 [37]P30(a500)+~P20(a500)
% 0.52/0.62 [38]P31(a500)+~P19(a500)
% 0.52/0.62 [39]~P16(a500)+~P28(a500)
% 0.52/0.62 [40]~P20(a500)+~P30(a500)
% 0.52/0.62 [41]~P15(a500)+~P29(a500)
% 0.52/0.62 [42]~P19(a500)+~P31(a500)
% 0.52/0.62 [43]P6(a500)+P40(a500)+~P4(a500)
% 0.52/0.62 [44]P10(a500)+P41(a500)+~P9(a500)
% 0.52/0.62 [45]P42(a500)+P8(a500)+~P2(a500)
% 0.52/0.62 [46]P43(a500)+P11(a500)+~P5(a500)
% 0.52/0.62 [47]P12(a500)+P14(a500)+~P1(a500)
% 0.52/0.62 [48]P22(a500)+~P3(a500)+~P7(a500)
% 0.52/0.62 [49]P13(a500)+~P15(a500)+~P24(a500)
% 0.52/0.62 [50]P16(a500)+~P25(a500)+~P17(a500)
% 0.52/0.62 [51]P18(a500)+~P19(a500)+~P26(a500)
% 0.52/0.62 [52]P20(a500)+~P27(a500)+~P21(a500)
% 0.52/0.62 [53]P3(a500)+P47(a500)+~P4(a500)+~P2(a500)
% 0.52/0.62 [54]P3(a500)+P48(a500)+~P9(a500)+~P5(a500)
% 0.52/0.62 [55]P7(a500)+P49(a500)+~P4(a500)+~P5(a500)
% 0.52/0.62 [56]P7(a500)+P52(a500)+~P2(a500)+~P9(a500)
% 0.52/0.62 [57]P4(a500)+P50(a500)+~P2(a500)+~P6(a500)
% 0.52/0.62 [58]P4(a500)+P51(a500)+~P5(a500)+~P10(a500)
% 0.52/0.62 [59]P9(a500)+P53(a500)+~P2(a500)+~P10(a500)
% 0.52/0.62 [60]P9(a500)+P54(a500)+~P5(a500)+~P6(a500)
% 0.52/0.62 [61]P13(a500)+P16(a500)+~P12(a500)+~P23(a500)
% 0.52/0.62 [62]P13(a500)+P20(a500)+~P14(a500)+~P35(a500)
% 0.52/0.62 [63]P16(a500)+P18(a500)+~P14(a500)+~P36(a500)
% 0.52/0.62 [64]P16(a500)+P15(a500)+~P13(a500)+~P33(a500)
% 0.52/0.62 [65]P16(a500)+P19(a500)+~P18(a500)+~P37(a500)
% 0.52/0.62 [66]P18(a500)+P20(a500)+~P12(a500)+~P32(a500)
% 0.52/0.62 [67]P20(a500)+P15(a500)+~P18(a500)+~P38(a500)
% 0.52/0.62 [68]P20(a500)+P19(a500)+~P13(a500)+~P34(a500)
% 0.52/0.62 %EqnAxiom
% 0.52/0.62
% 0.52/0.62 %-------------------------------------------
% 0.52/0.62 cnf(69,plain,
% 0.52/0.62 (~P7(a500)+~P3(a500)),
% 0.52/0.62 inference(scs_inference,[],[2,48])).
% 0.52/0.62 cnf(70,plain,
% 0.52/0.62 (P2(a500)),
% 0.52/0.62 inference(scs_inference,[],[3,13])).
% 0.52/0.62 cnf(71,plain,
% 0.52/0.62 (~P4(a500)+P47(a500)+P3(a500)),
% 0.52/0.62 inference(scs_inference,[],[70,53])).
% 0.52/0.62 cnf(116,plain,
% 0.52/0.62 (P5(a500)),
% 0.52/0.62 inference(scs_inference,[],[4,16])).
% 0.52/0.62 cnf(118,plain,
% 0.52/0.62 (P49(a500)+P7(a500)+~P4(a500)),
% 0.52/0.62 inference(scs_inference,[],[116,55])).
% 0.52/0.62 cnf(119,plain,
% 0.52/0.62 (P51(a500)+P4(a500)+~P10(a500)),
% 0.52/0.62 inference(scs_inference,[],[116,58])).
% 0.52/0.62 cnf(141,plain,
% 0.52/0.62 (P10(a500)),
% 0.52/0.62 inference(scs_inference,[],[6,20])).
% 0.52/0.62 cnf(142,plain,
% 0.52/0.62 (P4(a500)+P51(a500)),
% 0.52/0.62 inference(scs_inference,[],[141,119])).
% 0.52/0.62 cnf(144,plain,
% 0.52/0.62 (P4(a500)),
% 0.52/0.62 inference(scs_inference,[],[142,12])).
% 0.52/0.62 cnf(145,plain,
% 0.52/0.62 (P3(a500)+P47(a500)),
% 0.52/0.62 inference(scs_inference,[],[144,71])).
% 0.52/0.62 cnf(148,plain,
% 0.52/0.62 (P49(a500)+P7(a500)),
% 0.52/0.62 inference(scs_inference,[],[144,118])).
% 0.52/0.62 cnf(149,plain,
% 0.52/0.62 (P3(a500)),
% 0.52/0.62 inference(scs_inference,[],[145,7])).
% 0.52/0.62 cnf(150,plain,
% 0.52/0.62 (~P7(a500)),
% 0.52/0.62 inference(scs_inference,[],[149,69])).
% 0.52/0.62 cnf(151,plain,
% 0.52/0.62 (~P49(a500)),
% 0.52/0.62 inference(scs_inference,[],[150,9])).
% 0.52/0.62 cnf(164,plain,
% 0.52/0.62 (P49(a500)),
% 0.52/0.62 inference(scs_inference,[],[150,148])).
% 0.52/0.62 cnf(166,plain,
% 0.52/0.62 ($false),
% 0.52/0.62 inference(scs_inference,[],[151,164]),
% 0.52/0.62 ['proof']).
% 0.52/0.62 % SZS output end Proof
% 0.52/0.62 % Total time :0.030000s
%------------------------------------------------------------------------------