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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SYN098-1.002 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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 : Mon Jun 24 19:04:33 EDT 2024

% Result   : Unsatisfiable 0.47s 0.57s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem    : SYN098-1.002 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.03/0.09  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Sun Jun 23 21:11:23 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.14/0.45  start to proof:theBenchmark
% 0.14/0.55  %-------------------------------------------
% 0.14/0.55  % File        :CSE---1.7
% 0.14/0.55  % Problem     :theBenchmark
% 0.14/0.55  % Transform   :cnf
% 0.14/0.55  % Format      :tptp:raw
% 0.14/0.55  % Command     :java -jar mcs_scs.jar %d %s
% 0.14/0.55  
% 0.14/0.55  % Result      :Theorem 0.070000s
% 0.14/0.55  % Output      :CNFRefutation 0.070000s
% 0.14/0.55  %-------------------------------------------
% 0.47/0.56  %--------------------------------------------------------------------------
% 0.47/0.56  % File     : SYN098-1.002 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.47/0.56  % Domain   : Syntactic
% 0.47/0.56  % Problem  : Plaisted problem sym(u(t(3,2)))
% 0.47/0.56  % Version  : Biased.
% 0.47/0.56  % English  :
% 0.47/0.56  
% 0.47/0.56  % Refs     : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% 0.47/0.56  % Source   : [Pla94]
% 0.47/0.56  % Names    : Sym(U(T3n)) [Pla94]
% 0.47/0.56  
% 0.47/0.56  % Status   : Unsatisfiable
% 0.47/0.56  % Rating   : 0.33 v5.5.0, 0.00 v4.1.0, 0.20 v4.0.1, 0.00 v2.1.0
% 0.47/0.56  % Syntax   : Number of clauses     :   68 (   2 unt;  25 nHn;  68 RR)
% 0.47/0.56  %            Number of literals    :  176 (   0 equ;  88 neg)
% 0.47/0.56  %            Maximal clause size   :    4 (   2 avg)
% 0.47/0.56  %            Maximal term depth    :    0 (   0 avg)
% 0.47/0.56  %            Number of predicates  :   54 (  54 usr;  54 prp; 0-0 aty)
% 0.47/0.56  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.47/0.56  %            Number of variables   :    0 (   0 sgn)
% 0.47/0.56  % SPC      : CNF_UNS_PRP
% 0.47/0.56  
% 0.47/0.56  % Comments : Biased away from various calculi.
% 0.47/0.56  %          : tptp2X: -f tptp -s2 SYN098-1.g
% 0.47/0.56  % Bugfixes : v1.2.0 - Bugfix in SYN086-1.
% 0.47/0.56  %          : v1.2.1 - Bugfix in SYN086-1.
% 0.47/0.56  %--------------------------------------------------------------------------
% 0.47/0.56  cnf(u_s3_goal_1,negated_conjecture,
% 0.47/0.56      ( u_1
% 0.47/0.56      | ~ p_0
% 0.47/0.56      | ~ q_0 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_1_s3_goal_1,axiom,
% 0.47/0.56      ~ u_1 ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type11_1,axiom,
% 0.47/0.56      ( u_2
% 0.47/0.56      | p_0
% 0.47/0.56      | ~ p_1
% 0.47/0.56      | ~ p_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_2_s3_type11_1,axiom,
% 0.47/0.56      ( p_0
% 0.47/0.56      | ~ u_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type11_2,axiom,
% 0.47/0.56      ( u_3
% 0.47/0.56      | p_0
% 0.47/0.56      | ~ q_1
% 0.47/0.56      | ~ q_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_3_s3_type11_2,axiom,
% 0.47/0.56      ( p_0
% 0.47/0.56      | ~ u_3 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type11_3,axiom,
% 0.47/0.56      ( u_4
% 0.47/0.56      | p_1
% 0.47/0.56      | ~ p_2
% 0.47/0.56      | ~ p_3 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_4_s3_type11_3,axiom,
% 0.47/0.56      ( p_1
% 0.47/0.56      | ~ u_4 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type11_4,axiom,
% 0.47/0.56      ( u_5
% 0.47/0.56      | p_1
% 0.47/0.56      | ~ q_2
% 0.47/0.56      | ~ q_3 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_5_s3_type11_4,axiom,
% 0.47/0.56      ( p_1
% 0.47/0.56      | ~ u_5 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type12_1,axiom,
% 0.47/0.56      ( u_6
% 0.47/0.56      | q_0
% 0.47/0.56      | ~ p_1
% 0.47/0.56      | ~ q_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_6_s3_type12_1,axiom,
% 0.47/0.56      ( q_0
% 0.47/0.56      | ~ u_6 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type12_2,axiom,
% 0.47/0.56      ( u_7
% 0.47/0.56      | q_0
% 0.47/0.56      | ~ q_1
% 0.47/0.56      | ~ p_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_7_s3_type12_2,axiom,
% 0.47/0.56      ( q_0
% 0.47/0.56      | ~ u_7 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type12_3,axiom,
% 0.47/0.56      ( u_8
% 0.47/0.56      | q_1
% 0.47/0.56      | ~ p_2
% 0.47/0.56      | ~ q_3 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_8_s3_type12_3,axiom,
% 0.47/0.56      ( q_1
% 0.47/0.56      | ~ u_8 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type12_4,axiom,
% 0.47/0.56      ( u_9
% 0.47/0.56      | q_1
% 0.47/0.56      | ~ q_2
% 0.47/0.56      | ~ p_3 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_9_s3_type12_4,axiom,
% 0.47/0.56      ( q_1
% 0.47/0.56      | ~ u_9 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type2_1,axiom,
% 0.47/0.56      ( u_10
% 0.47/0.56      | p_3
% 0.47/0.56      | ~ p_1 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_10_s3_type2_1,axiom,
% 0.47/0.56      ( p_3
% 0.47/0.56      | ~ u_10 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type2_2,axiom,
% 0.47/0.56      ( u_11
% 0.47/0.56      | p_4
% 0.47/0.56      | ~ p_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_11_s3_type2_2,axiom,
% 0.47/0.56      ( p_4
% 0.47/0.56      | ~ u_11 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type2_3,axiom,
% 0.47/0.56      ( u_12
% 0.47/0.56      | q_3
% 0.47/0.56      | ~ q_1 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_12_s3_type2_3,axiom,
% 0.47/0.56      ( q_3
% 0.47/0.56      | ~ u_12 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_s3_type2_4,axiom,
% 0.47/0.56      ( u_13
% 0.47/0.56      | q_4
% 0.47/0.56      | ~ q_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_13_s3_type2_4,axiom,
% 0.47/0.56      ( q_4
% 0.47/0.56      | ~ u_13 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_t3_1,axiom,
% 0.47/0.56      ( u_14
% 0.47/0.56      | p_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_14_t3_1,axiom,
% 0.47/0.56      ( p_2
% 0.47/0.56      | ~ u_14 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_t3_2,axiom,
% 0.47/0.56      ( u_15
% 0.47/0.56      | p_3 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_15_t3_2,axiom,
% 0.47/0.56      ( p_3
% 0.47/0.56      | ~ u_15 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_t3_3,axiom,
% 0.47/0.56      ( u_16
% 0.47/0.56      | q_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_16_t3_3,axiom,
% 0.47/0.56      ( q_2
% 0.47/0.56      | ~ u_16 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_t3_4,axiom,
% 0.47/0.56      ( u_17
% 0.47/0.56      | q_3 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(u_17_t3_4,axiom,
% 0.47/0.56      ( q_3
% 0.47/0.56      | ~ u_17 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(sym_u_s3_goal_1,axiom,
% 0.47/0.56      ( ~ sym_u_1
% 0.47/0.56      | sym_p_0
% 0.47/0.56      | sym_q_0 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(sym_u_1_s3_goal_1,axiom,
% 0.47/0.56      sym_u_1 ).
% 0.47/0.56  
% 0.47/0.56  cnf(sym_u_s3_type11_1,axiom,
% 0.47/0.56      ( ~ sym_u_2
% 0.47/0.56      | ~ sym_p_0
% 0.47/0.56      | sym_p_1
% 0.47/0.56      | sym_p_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(sym_u_2_s3_type11_1,axiom,
% 0.47/0.56      ( ~ sym_p_0
% 0.47/0.56      | sym_u_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(sym_u_s3_type11_2,axiom,
% 0.47/0.56      ( ~ sym_u_3
% 0.47/0.56      | ~ sym_p_0
% 0.47/0.56      | sym_q_1
% 0.47/0.56      | sym_q_2 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(sym_u_3_s3_type11_2,axiom,
% 0.47/0.56      ( ~ sym_p_0
% 0.47/0.56      | sym_u_3 ) ).
% 0.47/0.56  
% 0.47/0.56  cnf(sym_u_s3_type11_3,axiom,
% 0.47/0.56      ( ~ sym_u_4
% 0.47/0.56      | ~ sym_p_1
% 0.47/0.56      | sym_p_2
% 0.47/0.56      | sym_p_3 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_4_s3_type11_3,axiom,
% 0.47/0.57      ( ~ sym_p_1
% 0.47/0.57      | sym_u_4 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_s3_type11_4,axiom,
% 0.47/0.57      ( ~ sym_u_5
% 0.47/0.57      | ~ sym_p_1
% 0.47/0.57      | sym_q_2
% 0.47/0.57      | sym_q_3 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_5_s3_type11_4,axiom,
% 0.47/0.57      ( ~ sym_p_1
% 0.47/0.57      | sym_u_5 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_s3_type12_1,axiom,
% 0.47/0.57      ( ~ sym_u_6
% 0.47/0.57      | ~ sym_q_0
% 0.47/0.57      | sym_p_1
% 0.47/0.57      | sym_q_2 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_6_s3_type12_1,axiom,
% 0.47/0.57      ( ~ sym_q_0
% 0.47/0.57      | sym_u_6 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_s3_type12_2,axiom,
% 0.47/0.57      ( ~ sym_u_7
% 0.47/0.57      | ~ sym_q_0
% 0.47/0.57      | sym_q_1
% 0.47/0.57      | sym_p_2 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_7_s3_type12_2,axiom,
% 0.47/0.57      ( ~ sym_q_0
% 0.47/0.57      | sym_u_7 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_s3_type12_3,axiom,
% 0.47/0.57      ( ~ sym_u_8
% 0.47/0.57      | ~ sym_q_1
% 0.47/0.57      | sym_p_2
% 0.47/0.57      | sym_q_3 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_8_s3_type12_3,axiom,
% 0.47/0.57      ( ~ sym_q_1
% 0.47/0.57      | sym_u_8 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_s3_type12_4,axiom,
% 0.47/0.57      ( ~ sym_u_9
% 0.47/0.57      | ~ sym_q_1
% 0.47/0.57      | sym_q_2
% 0.47/0.57      | sym_p_3 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_9_s3_type12_4,axiom,
% 0.47/0.57      ( ~ sym_q_1
% 0.47/0.57      | sym_u_9 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_s3_type2_1,axiom,
% 0.47/0.57      ( ~ sym_u_10
% 0.47/0.57      | ~ sym_p_3
% 0.47/0.57      | sym_p_1 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_10_s3_type2_1,axiom,
% 0.47/0.57      ( ~ sym_p_3
% 0.47/0.57      | sym_u_10 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_s3_type2_2,axiom,
% 0.47/0.57      ( ~ sym_u_11
% 0.47/0.57      | ~ sym_p_4
% 0.47/0.57      | sym_p_2 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_11_s3_type2_2,axiom,
% 0.47/0.57      ( ~ sym_p_4
% 0.47/0.57      | sym_u_11 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_s3_type2_3,axiom,
% 0.47/0.57      ( ~ sym_u_12
% 0.47/0.57      | ~ sym_q_3
% 0.47/0.57      | sym_q_1 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_12_s3_type2_3,axiom,
% 0.47/0.57      ( ~ sym_q_3
% 0.47/0.57      | sym_u_12 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_s3_type2_4,axiom,
% 0.47/0.57      ( ~ sym_u_13
% 0.47/0.57      | ~ sym_q_4
% 0.47/0.57      | sym_q_2 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_13_s3_type2_4,axiom,
% 0.47/0.57      ( ~ sym_q_4
% 0.47/0.57      | sym_u_13 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_t3_1,axiom,
% 0.47/0.57      ( ~ sym_u_14
% 0.47/0.57      | ~ sym_p_2 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_14_t3_1,axiom,
% 0.47/0.57      ( ~ sym_p_2
% 0.47/0.57      | sym_u_14 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_t3_2,axiom,
% 0.47/0.57      ( ~ sym_u_15
% 0.47/0.57      | ~ sym_p_3 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_15_t3_2,axiom,
% 0.47/0.57      ( ~ sym_p_3
% 0.47/0.57      | sym_u_15 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_t3_3,axiom,
% 0.47/0.57      ( ~ sym_u_16
% 0.47/0.57      | ~ sym_q_2 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_16_t3_3,axiom,
% 0.47/0.57      ( ~ sym_q_2
% 0.47/0.57      | sym_u_16 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_t3_4,axiom,
% 0.47/0.57      ( ~ sym_u_17
% 0.47/0.57      | ~ sym_q_3 ) ).
% 0.47/0.57  
% 0.47/0.57  cnf(sym_u_17_t3_4,axiom,
% 0.47/0.57      ( ~ sym_q_3
% 0.47/0.57      | sym_u_17 ) ).
% 0.47/0.57  
% 0.47/0.57  %--------------------------------------------------------------------------
% 0.47/0.57  %-------------------------------------------
% 0.47/0.57  % Proof found
% 0.47/0.57  % SZS status Theorem for theBenchmark
% 0.47/0.57  % SZS output start Proof
% 0.47/0.57  %ClaNum:68(EqnAxiom:0)
% 0.47/0.57  %VarNum:0(SingletonVarNum:0)
% 0.47/0.57  %MaxLitNum:4
% 0.47/0.57  %MaxfuncDepth:0
% 0.47/0.57  %SharedTerms:105
% 0.47/0.57  %goalClause: 48
% 0.47/0.57  [1]P1(a5000)
% 0.47/0.57  [2]~P22(a5000)
% 0.47/0.57  [3]P2(a5000)+P39(a5000)
% 0.47/0.57  [4]P5(a5000)+P44(a5000)
% 0.47/0.57  [5]P6(a5000)+P45(a5000)
% 0.47/0.57  [6]P10(a5000)+P46(a5000)
% 0.47/0.57  [7]P3(a5000)+~P47(a5000)
% 0.47/0.57  [8]P3(a5000)+~P48(a5000)
% 0.47/0.57  [9]P7(a5000)+~P49(a5000)
% 0.47/0.57  [10]P7(a5000)+~P52(a5000)
% 0.47/0.57  [11]P4(a5000)+~P50(a5000)
% 0.47/0.57  [12]P4(a5000)+~P51(a5000)
% 0.47/0.57  [13]P2(a5000)+~P39(a5000)
% 0.47/0.57  [14]P9(a5000)+~P53(a5000)
% 0.47/0.57  [15]P9(a5000)+~P54(a5000)
% 0.47/0.57  [16]P5(a5000)+~P44(a5000)
% 0.47/0.57  [17]P6(a5000)+~P40(a5000)
% 0.47/0.57  [18]P6(a5000)+~P45(a5000)
% 0.47/0.57  [19]P10(a5000)+~P41(a5000)
% 0.47/0.57  [20]P10(a5000)+~P46(a5000)
% 0.47/0.57  [21]P8(a5000)+~P42(a5000)
% 0.47/0.57  [22]P11(a5000)+~P43(a5000)
% 0.47/0.57  [23]P23(a5000)+~P12(a5000)
% 0.47/0.57  [24]P32(a5000)+~P12(a5000)
% 0.47/0.57  [25]P33(a5000)+~P13(a5000)
% 0.47/0.57  [26]P34(a5000)+~P13(a5000)
% 0.47/0.57  [27]P35(a5000)+~P14(a5000)
% 0.47/0.57  [28]P36(a5000)+~P14(a5000)
% 0.47/0.57  [29]P37(a5000)+~P18(a5000)
% 0.47/0.57  [30]P38(a5000)+~P18(a5000)
% 0.47/0.57  [31]P24(a5000)+~P15(a5000)
% 0.47/0.57  [32]P25(a5000)+~P17(a5000)
% 0.47/0.57  [33]P26(a5000)+~P19(a5000)
% 0.47/0.57  [34]P27(a5000)+~P21(a5000)
% 0.47/0.57  [35]P28(a5000)+~P16(a5000)
% 0.47/0.57  [36]P29(a5000)+~P15(a5000)
% 0.47/0.57  [37]P30(a5000)+~P20(a5000)
% 0.47/0.57  [38]P31(a5000)+~P19(a5000)
% 0.47/0.57  [39]~P16(a5000)+~P28(a5000)
% 0.47/0.57  [40]~P20(a5000)+~P30(a5000)
% 0.47/0.57  [41]~P15(a5000)+~P29(a5000)
% 0.47/0.57  [42]~P19(a5000)+~P31(a5000)
% 0.47/0.57  [43]P6(a5000)+P40(a5000)+~P4(a5000)
% 0.47/0.57  [44]P10(a5000)+P41(a5000)+~P9(a5000)
% 0.47/0.57  [45]P42(a5000)+P8(a5000)+~P2(a5000)
% 0.47/0.57  [46]P43(a5000)+P11(a5000)+~P5(a5000)
% 0.47/0.57  [47]P12(a5000)+P14(a5000)+~P1(a5000)
% 0.47/0.57  [48]P22(a5000)+~P3(a5000)+~P7(a5000)
% 0.47/0.57  [49]P13(a5000)+~P15(a5000)+~P24(a5000)
% 0.47/0.57  [50]P16(a5000)+~P25(a5000)+~P17(a5000)
% 0.47/0.57  [51]P18(a5000)+~P19(a5000)+~P26(a5000)
% 0.47/0.57  [52]P20(a5000)+~P27(a5000)+~P21(a5000)
% 0.47/0.57  [53]P3(a5000)+P47(a5000)+~P4(a5000)+~P2(a5000)
% 0.47/0.57  [54]P3(a5000)+P48(a5000)+~P9(a5000)+~P5(a5000)
% 0.47/0.57  [55]P7(a5000)+P49(a5000)+~P4(a5000)+~P5(a5000)
% 0.47/0.57  [56]P7(a5000)+P52(a5000)+~P2(a5000)+~P9(a5000)
% 0.47/0.57  [57]P4(a5000)+P50(a5000)+~P2(a5000)+~P6(a5000)
% 0.47/0.57  [58]P4(a5000)+P51(a5000)+~P5(a5000)+~P10(a5000)
% 0.47/0.57  [59]P9(a5000)+P53(a5000)+~P2(a5000)+~P10(a5000)
% 0.47/0.57  [60]P9(a5000)+P54(a5000)+~P5(a5000)+~P6(a5000)
% 0.47/0.57  [61]P13(a5000)+P16(a5000)+~P12(a5000)+~P23(a5000)
% 0.47/0.57  [62]P13(a5000)+P20(a5000)+~P14(a5000)+~P35(a5000)
% 0.47/0.57  [63]P16(a5000)+P18(a5000)+~P14(a5000)+~P36(a5000)
% 0.47/0.57  [64]P16(a5000)+P15(a5000)+~P13(a5000)+~P33(a5000)
% 0.47/0.57  [65]P16(a5000)+P19(a5000)+~P18(a5000)+~P37(a5000)
% 0.47/0.57  [66]P18(a5000)+P20(a5000)+~P12(a5000)+~P32(a5000)
% 0.47/0.57  [67]P20(a5000)+P15(a5000)+~P18(a5000)+~P38(a5000)
% 0.47/0.57  [68]P20(a5000)+P19(a5000)+~P13(a5000)+~P34(a5000)
% 0.47/0.57  %EqnAxiom
% 0.47/0.57  
% 0.47/0.57  %-------------------------------------------
% 0.47/0.57  cnf(69,plain,
% 0.47/0.57     (~P3(a5000)+~P7(a5000)),
% 0.47/0.57     inference(scs_inference,[],[2,48])).
% 0.47/0.57  cnf(70,plain,
% 0.47/0.57     (~P47(a5000)+~P7(a5000)),
% 0.47/0.57     inference(scs_inference,[],[2,48,7])).
% 0.47/0.57  cnf(71,plain,
% 0.47/0.57     (~P48(a5000)+~P7(a5000)),
% 0.47/0.57     inference(scs_inference,[],[2,48,7,8])).
% 0.47/0.57  cnf(72,plain,
% 0.47/0.57     (~P7(a5000)+~P2(a5000)+P50(a5000)+~P6(a5000)),
% 0.47/0.57     inference(scs_inference,[],[2,48,7,8,53,57])).
% 0.47/0.57  cnf(73,plain,
% 0.47/0.57     (P2(a5000)),
% 0.47/0.57     inference(scs_inference,[],[3,13])).
% 0.47/0.57  cnf(74,plain,
% 0.47/0.57     (P3(a5000)+P47(a5000)+~P4(a5000)),
% 0.47/0.57     inference(scs_inference,[],[73,53])).
% 0.47/0.57  cnf(75,plain,
% 0.47/0.57     (P7(a5000)+P52(a5000)+~P9(a5000)),
% 0.47/0.57     inference(scs_inference,[],[73,56])).
% 0.47/0.57  cnf(76,plain,
% 0.47/0.57     (P4(a5000)+P50(a5000)+~P6(a5000)),
% 0.47/0.57     inference(scs_inference,[],[73,57])).
% 0.47/0.57  cnf(77,plain,
% 0.47/0.57     (P9(a5000)+P53(a5000)+~P10(a5000)),
% 0.47/0.57     inference(scs_inference,[],[73,59])).
% 0.47/0.57  cnf(78,plain,
% 0.47/0.57     (~P7(a5000)+P50(a5000)+~P6(a5000)),
% 0.47/0.57     inference(scs_inference,[],[73,72])).
% 0.47/0.57  cnf(79,plain,
% 0.47/0.57     (P5(a5000)),
% 0.47/0.57     inference(scs_inference,[],[4,16])).
% 0.47/0.57  cnf(80,plain,
% 0.47/0.57     (P3(a5000)+P48(a5000)+~P9(a5000)),
% 0.47/0.57     inference(scs_inference,[],[79,54])).
% 0.47/0.57  cnf(81,plain,
% 0.47/0.57     (P7(a5000)+P49(a5000)+~P4(a5000)),
% 0.47/0.57     inference(scs_inference,[],[79,55])).
% 0.47/0.57  cnf(83,plain,
% 0.47/0.57     (P9(a5000)+P54(a5000)+~P6(a5000)),
% 0.47/0.57     inference(scs_inference,[],[79,60])).
% 0.47/0.57  cnf(85,plain,
% 0.47/0.57     (P46(a5000)+P9(a5000)+P53(a5000)),
% 0.47/0.57     inference(scs_inference,[],[6,77])).
% 0.47/0.57  cnf(86,plain,
% 0.47/0.57     (~P49(a5000)+~P3(a5000)),
% 0.47/0.57     inference(scs_inference,[],[9,69])).
% 0.47/0.57  cnf(87,plain,
% 0.47/0.57     (~P52(a5000)+~P47(a5000)),
% 0.47/0.57     inference(scs_inference,[],[10,70])).
% 0.47/0.57  cnf(91,plain,
% 0.47/0.57     (~P54(a5000)+P7(a5000)+P52(a5000)),
% 0.47/0.57     inference(scs_inference,[],[15,75])).
% 0.47/0.57  cnf(93,plain,
% 0.47/0.57     (~P45(a5000)+P9(a5000)+P54(a5000)),
% 0.47/0.57     inference(scs_inference,[],[18,83])).
% 0.47/0.57  cnf(95,plain,
% 0.47/0.57     (~P46(a5000)+P9(a5000)+P53(a5000)),
% 0.47/0.57     inference(scs_inference,[],[20,77])).
% 0.47/0.57  cnf(96,plain,
% 0.47/0.57     (~P7(a5000)+P3(a5000)+~P9(a5000)),
% 0.47/0.57     inference(scs_inference,[],[71,80])).
% 0.47/0.57  cnf(97,plain,
% 0.47/0.57     (~P3(a5000)+P7(a5000)+~P4(a5000)),
% 0.47/0.57     inference(scs_inference,[],[86,81])).
% 0.47/0.57  cnf(98,plain,
% 0.47/0.57     (~P47(a5000)+~P54(a5000)+P7(a5000)),
% 0.47/0.57     inference(scs_inference,[],[87,91])).
% 0.47/0.57  cnf(105,plain,
% 0.47/0.57     (P9(a5000)+P54(a5000)+P6(a5000)),
% 0.47/0.57     inference(scs_inference,[],[93,5])).
% 0.47/0.57  cnf(106,plain,
% 0.47/0.57     (P9(a5000)+P53(a5000)),
% 0.47/0.57     inference(scs_inference,[],[95,85])).
% 0.47/0.57  cnf(108,plain,
% 0.47/0.57     (P3(a5000)+~P9(a5000)+~P49(a5000)),
% 0.47/0.57     inference(scs_inference,[],[96,9])).
% 0.47/0.57  cnf(110,plain,
% 0.47/0.57     (~P54(a5000)+~P47(a5000)),
% 0.47/0.57     inference(scs_inference,[],[98,70])).
% 0.47/0.57  cnf(111,plain,
% 0.47/0.57     (~P47(a5000)+P9(a5000)+~P6(a5000)),
% 0.47/0.57     inference(scs_inference,[],[110,83])).
% 0.47/0.57  cnf(118,plain,
% 0.47/0.57     (P6(a5000)+P9(a5000)),
% 0.47/0.57     inference(scs_inference,[],[105,15])).
% 0.47/0.57  cnf(119,plain,
% 0.47/0.57     (P9(a5000)+~P7(a5000)+P50(a5000)),
% 0.47/0.57     inference(scs_inference,[],[118,78])).
% 0.47/0.57  cnf(122,plain,
% 0.47/0.57     (~P9(a5000)+~P49(a5000)),
% 0.47/0.57     inference(scs_inference,[],[108,86])).
% 0.47/0.57  cnf(123,plain,
% 0.47/0.57     (~P49(a5000)+~P53(a5000)),
% 0.47/0.57     inference(scs_inference,[],[122,14])).
% 0.47/0.57  cnf(124,plain,
% 0.47/0.57     (~P53(a5000)+P7(a5000)+~P4(a5000)),
% 0.47/0.57     inference(scs_inference,[],[123,81])).
% 0.47/0.57  cnf(126,plain,
% 0.47/0.57     (~P47(a5000)+P9(a5000)),
% 0.47/0.57     inference(scs_inference,[],[111,118])).
% 0.47/0.57  cnf(127,plain,
% 0.47/0.57     (P9(a5000)+P3(a5000)+~P4(a5000)),
% 0.47/0.57     inference(scs_inference,[],[126,74])).
% 0.47/0.57  cnf(132,plain,
% 0.47/0.57     (P50(a5000)+~P7(a5000)+P3(a5000)),
% 0.47/0.57     inference(scs_inference,[],[119,96])).
% 0.47/0.57  cnf(134,plain,
% 0.47/0.57     (P7(a5000)+~P4(a5000)+P9(a5000)),
% 0.47/0.57     inference(scs_inference,[],[124,106])).
% 0.47/0.57  cnf(141,plain,
% 0.47/0.57     (P50(a5000)+~P7(a5000)),
% 0.47/0.57     inference(scs_inference,[],[132,69])).
% 0.47/0.57  cnf(142,plain,
% 0.47/0.57     (P50(a5000)+~P52(a5000)),
% 0.47/0.57     inference(scs_inference,[],[141,10])).
% 0.47/0.57  cnf(143,plain,
% 0.47/0.57     (~P52(a5000)+P4(a5000)),
% 0.47/0.57     inference(scs_inference,[],[142,11])).
% 0.47/0.57  cnf(144,plain,
% 0.47/0.57     (P4(a5000)+~P54(a5000)+P7(a5000)),
% 0.47/0.57     inference(scs_inference,[],[143,91])).
% 0.47/0.57  cnf(151,plain,
% 0.47/0.57     (~P54(a5000)+~P3(a5000)+P7(a5000)),
% 0.47/0.57     inference(scs_inference,[],[144,97])).
% 0.47/0.57  cnf(153,plain,
% 0.47/0.57     (~P54(a5000)+~P3(a5000)),
% 0.47/0.57     inference(scs_inference,[],[151,69])).
% 0.47/0.57  cnf(154,plain,
% 0.47/0.57     (~P3(a5000)+P9(a5000)+~P6(a5000)),
% 0.47/0.57     inference(scs_inference,[],[153,83])).
% 0.47/0.57  cnf(156,plain,
% 0.47/0.57     (~P6(a5000)+P9(a5000)+~P4(a5000)),
% 0.47/0.57     inference(scs_inference,[],[154,127])).
% 0.47/0.57  cnf(160,plain,
% 0.47/0.57     (P6(a5000)),
% 0.47/0.57     inference(scs_inference,[],[5,18])).
% 0.47/0.57  cnf(161,plain,
% 0.47/0.57     (P4(a5000)+P50(a5000)),
% 0.47/0.57     inference(scs_inference,[],[160,76])).
% 0.47/0.57  cnf(162,plain,
% 0.47/0.57     (P9(a5000)+P54(a5000)),
% 0.47/0.57     inference(scs_inference,[],[160,83])).
% 0.47/0.57  cnf(163,plain,
% 0.47/0.57     (~P3(a5000)+P9(a5000)),
% 0.47/0.57     inference(scs_inference,[],[160,154])).
% 0.47/0.57  cnf(164,plain,
% 0.47/0.57     (P9(a5000)+~P4(a5000)),
% 0.47/0.57     inference(scs_inference,[],[160,156])).
% 0.47/0.57  cnf(165,plain,
% 0.47/0.57     (P50(a5000)+P9(a5000)),
% 0.47/0.57     inference(scs_inference,[],[161,164])).
% 0.47/0.57  cnf(168,plain,
% 0.47/0.57     (P9(a5000)+P4(a5000)),
% 0.47/0.57     inference(scs_inference,[],[165,11])).
% 0.47/0.57  cnf(171,plain,
% 0.47/0.57     (P4(a5000)+P7(a5000)+P52(a5000)),
% 0.47/0.57     inference(scs_inference,[],[168,75])).
% 0.47/0.57  cnf(179,plain,
% 0.47/0.57     (P52(a5000)+P7(a5000)+P9(a5000)),
% 0.47/0.57     inference(scs_inference,[],[171,134])).
% 0.47/0.58  cnf(181,plain,
% 0.47/0.58     (P9(a5000)+P7(a5000)),
% 0.47/0.58     inference(scs_inference,[],[179,10])).
% 0.47/0.58  cnf(182,plain,
% 0.47/0.58     (P7(a5000)+P52(a5000)),
% 0.47/0.58     inference(scs_inference,[],[181,75])).
% 0.47/0.58  cnf(183,plain,
% 0.47/0.58     (P52(a5000)+~P3(a5000)),
% 0.47/0.58     inference(scs_inference,[],[182,69])).
% 0.47/0.58  cnf(184,plain,
% 0.47/0.58     (~P3(a5000)+~P47(a5000)),
% 0.47/0.58     inference(scs_inference,[],[183,87])).
% 0.53/0.58  cnf(185,plain,
% 0.53/0.58     (~P47(a5000)),
% 0.53/0.58     inference(scs_inference,[],[184,7])).
% 0.53/0.58  cnf(186,plain,
% 0.53/0.58     (P3(a5000)+~P4(a5000)),
% 0.53/0.58     inference(scs_inference,[],[185,74])).
% 0.53/0.58  cnf(187,plain,
% 0.53/0.58     (~P4(a5000)+~P54(a5000)),
% 0.53/0.58     inference(scs_inference,[],[186,153])).
% 0.53/0.58  cnf(188,plain,
% 0.53/0.58     (~P54(a5000)+~P50(a5000)),
% 0.53/0.58     inference(scs_inference,[],[187,11])).
% 0.53/0.58  cnf(189,plain,
% 0.53/0.58     (~P50(a5000)+P9(a5000)),
% 0.53/0.58     inference(scs_inference,[],[188,162])).
% 0.53/0.58  cnf(190,plain,
% 0.53/0.58     (P9(a5000)+~P7(a5000)),
% 0.53/0.58     inference(scs_inference,[],[189,141])).
% 0.53/0.58  cnf(191,plain,
% 0.53/0.58     (~P7(a5000)+P3(a5000)+P48(a5000)),
% 0.53/0.58     inference(scs_inference,[],[190,80])).
% 0.53/0.58  cnf(199,plain,
% 0.53/0.58     (P3(a5000)+~P9(a5000)),
% 0.53/0.58     inference(scs_inference,[],[8,80])).
% 0.53/0.58  cnf(200,plain,
% 0.53/0.58     (~P9(a5000)+~P7(a5000)),
% 0.53/0.58     inference(scs_inference,[],[199,69])).
% 0.53/0.58  cnf(201,plain,
% 0.53/0.58     (~P7(a5000)+~P53(a5000)),
% 0.53/0.58     inference(scs_inference,[],[200,14])).
% 0.53/0.58  cnf(202,plain,
% 0.53/0.58     (~P53(a5000)+~P52(a5000)),
% 0.53/0.58     inference(scs_inference,[],[201,10])).
% 0.53/0.58  cnf(203,plain,
% 0.53/0.58     (~P52(a5000)+P9(a5000)),
% 0.53/0.58     inference(scs_inference,[],[202,106])).
% 0.53/0.58  cnf(204,plain,
% 0.53/0.58     (~P52(a5000)+P3(a5000)),
% 0.53/0.58     inference(scs_inference,[],[203,199])).
% 0.53/0.58  cnf(205,plain,
% 0.53/0.58     (P3(a5000)+P7(a5000)),
% 0.53/0.58     inference(scs_inference,[],[204,182])).
% 0.53/0.58  cnf(206,plain,
% 0.53/0.58     (P7(a5000)+~P54(a5000)),
% 0.53/0.58     inference(scs_inference,[],[205,153])).
% 0.53/0.58  cnf(207,plain,
% 0.53/0.58     (~P54(a5000)+~P48(a5000)),
% 0.53/0.58     inference(scs_inference,[],[206,71])).
% 0.53/0.58  cnf(208,plain,
% 0.53/0.58     (~P54(a5000)+~P7(a5000)+P3(a5000)),
% 0.53/0.58     inference(scs_inference,[],[207,191])).
% 0.53/0.58  cnf(209,plain,
% 0.53/0.58     (~P54(a5000)+P3(a5000)),
% 0.53/0.58     inference(scs_inference,[],[208,205])).
% 0.53/0.58  cnf(210,plain,
% 0.53/0.58     (P3(a5000)+P9(a5000)),
% 0.53/0.58     inference(scs_inference,[],[209,162])).
% 0.53/0.58  cnf(211,plain,
% 0.53/0.58     (P9(a5000)),
% 0.53/0.58     inference(scs_inference,[],[210,163])).
% 0.53/0.58  cnf(213,plain,
% 0.53/0.58     (~P7(a5000)),
% 0.53/0.58     inference(scs_inference,[],[211,200])).
% 0.53/0.58  cnf(214,plain,
% 0.53/0.58     (~P52(a5000)),
% 0.53/0.58     inference(scs_inference,[],[213,10])).
% 0.53/0.58  cnf(222,plain,
% 0.53/0.58     (P52(a5000)),
% 0.53/0.58     inference(scs_inference,[],[213,182])).
% 0.53/0.58  cnf(227,plain,
% 0.53/0.58     ($false),
% 0.53/0.58     inference(scs_inference,[],[214,222]),
% 0.53/0.58     ['proof']).
% 0.53/0.58  % SZS output end Proof
% 0.53/0.58  % Total time :0.070000s
%------------------------------------------------------------------------------