TSTP Solution File: SYN010-1.005.005 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% 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 %d %s

% Computer : n016.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 01:48:36 EDT 2023

% Result   : Unsatisfiable 0.22s 0.60s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  110 (  33 unt;  26 typ;   0 def)
%            Number of atoms       :  319 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  476 ( 241   ~; 235   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   27 (  26 usr;  27 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    p_0: $o ).

tff(decl_23,type,
    p_1_1: $o ).

tff(decl_24,type,
    p_1_2: $o ).

tff(decl_25,type,
    p_1_3: $o ).

tff(decl_26,type,
    p_1_4: $o ).

tff(decl_27,type,
    p_1_5: $o ).

tff(decl_28,type,
    p_2_1: $o ).

tff(decl_29,type,
    p_2_2: $o ).

tff(decl_30,type,
    p_2_3: $o ).

tff(decl_31,type,
    p_2_4: $o ).

tff(decl_32,type,
    p_2_5: $o ).

tff(decl_33,type,
    p_3_1: $o ).

tff(decl_34,type,
    p_3_2: $o ).

tff(decl_35,type,
    p_3_3: $o ).

tff(decl_36,type,
    p_3_4: $o ).

tff(decl_37,type,
    p_3_5: $o ).

tff(decl_38,type,
    p_4_1: $o ).

tff(decl_39,type,
    p_4_2: $o ).

tff(decl_40,type,
    p_4_3: $o ).

tff(decl_41,type,
    p_4_4: $o ).

tff(decl_42,type,
    p_4_5: $o ).

tff(decl_43,type,
    p_5_1: $o ).

tff(decl_44,type,
    p_5_2: $o ).

tff(decl_45,type,
    p_5_3: $o ).

tff(decl_46,type,
    p_5_4: $o ).

tff(decl_47,type,
    p_5_5: $o ).

cnf(clause_18,negated_conjecture,
    ( p_4_1
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).

cnf(clause_23,negated_conjecture,
    p_5_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).

cnf(clause_24,negated_conjecture,
    p_5_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).

cnf(clause_25,negated_conjecture,
    p_5_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).

cnf(clause_26,negated_conjecture,
    p_5_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).

cnf(clause_27,negated_conjecture,
    p_5_5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).

cnf(clause_19,negated_conjecture,
    ( p_4_2
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).

cnf(clause_13,negated_conjecture,
    ( p_3_1
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).

cnf(clause_20,negated_conjecture,
    ( p_4_3
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).

cnf(clause_22,negated_conjecture,
    ( p_4_5
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).

cnf(clause_21,negated_conjecture,
    ( p_4_4
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).

cnf(clause_17,negated_conjecture,
    ( p_3_5
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).

cnf(clause_16,negated_conjecture,
    ( p_3_4
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).

cnf(clause_15,negated_conjecture,
    ( p_3_3
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).

cnf(clause_14,negated_conjecture,
    ( p_3_2
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).

cnf(clause_12,negated_conjecture,
    ( p_2_5
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).

cnf(clause_11,negated_conjecture,
    ( p_2_4
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).

cnf(clause_10,negated_conjecture,
    ( p_2_3
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).

cnf(clause_9,negated_conjecture,
    ( p_2_2
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

cnf(clause_8,negated_conjecture,
    ( p_2_1
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

cnf(clause_2,negated_conjecture,
    ( p_0
    | ~ p_1_1
    | ~ p_1_2
    | ~ p_1_3
    | ~ p_1_4
    | ~ p_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_1,negated_conjecture,
    ~ p_0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_7,negated_conjecture,
    ( p_1_5
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_6,negated_conjecture,
    ( p_1_4
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_5,negated_conjecture,
    ( p_1_3
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_4,negated_conjecture,
    ( p_1_2
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_3,negated_conjecture,
    ( p_1_1
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(c_0_27,negated_conjecture,
    ( p_4_1
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    clause_18 ).

cnf(c_0_28,negated_conjecture,
    p_5_1,
    clause_23 ).

cnf(c_0_29,negated_conjecture,
    p_5_2,
    clause_24 ).

cnf(c_0_30,negated_conjecture,
    p_5_3,
    clause_25 ).

cnf(c_0_31,negated_conjecture,
    p_5_4,
    clause_26 ).

cnf(c_0_32,negated_conjecture,
    p_5_5,
    clause_27 ).

cnf(c_0_33,negated_conjecture,
    ( p_4_2
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    clause_19 ).

cnf(c_0_34,negated_conjecture,
    ( p_3_1
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    clause_13 ).

cnf(c_0_35,negated_conjecture,
    p_4_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_36,negated_conjecture,
    p_4_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_37,negated_conjecture,
    ( p_4_3
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    clause_20 ).

cnf(c_0_38,negated_conjecture,
    ( p_4_5
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    clause_22 ).

cnf(c_0_39,negated_conjecture,
    ( p_4_4
    | ~ p_5_1
    | ~ p_5_2
    | ~ p_5_3
    | ~ p_5_4
    | ~ p_5_5 ),
    clause_21 ).

cnf(c_0_40,negated_conjecture,
    ( p_3_5
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    clause_17 ).

cnf(c_0_41,negated_conjecture,
    ( p_3_4
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    clause_16 ).

cnf(c_0_42,negated_conjecture,
    ( p_3_3
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    clause_15 ).

cnf(c_0_43,negated_conjecture,
    ( p_3_2
    | ~ p_4_1
    | ~ p_4_2
    | ~ p_4_3
    | ~ p_4_4
    | ~ p_4_5 ),
    clause_14 ).

cnf(c_0_44,negated_conjecture,
    ( p_3_1
    | ~ p_4_5
    | ~ p_4_4
    | ~ p_4_3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),c_0_36])]) ).

cnf(c_0_45,negated_conjecture,
    p_4_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_46,negated_conjecture,
    p_4_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_47,negated_conjecture,
    p_4_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_48,negated_conjecture,
    ( p_3_5
    | ~ p_4_5
    | ~ p_4_4
    | ~ p_4_3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_35])]),c_0_36])]) ).

cnf(c_0_49,negated_conjecture,
    ( p_3_4
    | ~ p_4_5
    | ~ p_4_4
    | ~ p_4_3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_35])]),c_0_36])]) ).

cnf(c_0_50,negated_conjecture,
    ( p_3_3
    | ~ p_4_5
    | ~ p_4_4
    | ~ p_4_3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_35])]),c_0_36])]) ).

cnf(c_0_51,negated_conjecture,
    ( p_3_2
    | ~ p_4_5
    | ~ p_4_4
    | ~ p_4_3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_35])]),c_0_36])]) ).

cnf(c_0_52,negated_conjecture,
    ( p_2_5
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    clause_12 ).

cnf(c_0_53,negated_conjecture,
    p_3_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),c_0_46]),c_0_47])]) ).

cnf(c_0_54,negated_conjecture,
    p_3_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_45])]),c_0_46]),c_0_47])]) ).

cnf(c_0_55,negated_conjecture,
    p_3_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_45])]),c_0_46]),c_0_47])]) ).

cnf(c_0_56,negated_conjecture,
    p_3_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_45])]),c_0_46]),c_0_47])]) ).

cnf(c_0_57,negated_conjecture,
    p_3_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_45])]),c_0_46]),c_0_47])]) ).

cnf(c_0_58,negated_conjecture,
    ( p_2_4
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    clause_11 ).

cnf(c_0_59,negated_conjecture,
    ( p_2_3
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    clause_10 ).

cnf(c_0_60,negated_conjecture,
    ( p_2_2
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    clause_9 ).

cnf(c_0_61,negated_conjecture,
    ( p_2_1
    | ~ p_3_1
    | ~ p_3_2
    | ~ p_3_3
    | ~ p_3_4
    | ~ p_3_5 ),
    clause_8 ).

cnf(c_0_62,negated_conjecture,
    ( p_0
    | ~ p_1_1
    | ~ p_1_2
    | ~ p_1_3
    | ~ p_1_4
    | ~ p_1_5 ),
    clause_2 ).

cnf(c_0_63,negated_conjecture,
    ~ p_0,
    clause_1 ).

cnf(c_0_64,negated_conjecture,
    ( p_1_5
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    clause_7 ).

cnf(c_0_65,negated_conjecture,
    p_2_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]),c_0_54]),c_0_55]),c_0_56]),c_0_57])]) ).

cnf(c_0_66,negated_conjecture,
    p_2_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_53])]),c_0_54]),c_0_55]),c_0_56]),c_0_57])]) ).

cnf(c_0_67,negated_conjecture,
    p_2_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_53])]),c_0_54]),c_0_55]),c_0_56]),c_0_57])]) ).

cnf(c_0_68,negated_conjecture,
    p_2_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_53])]),c_0_54]),c_0_55]),c_0_56]),c_0_57])]) ).

cnf(c_0_69,negated_conjecture,
    p_2_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_53])]),c_0_54]),c_0_55]),c_0_56]),c_0_57])]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ p_1_5
    | ~ p_1_4
    | ~ p_1_3
    | ~ p_1_2
    | ~ p_1_1 ),
    inference(sr,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    p_1_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]),c_0_66]),c_0_67]),c_0_68]),c_0_69])]) ).

cnf(c_0_72,negated_conjecture,
    ( p_1_4
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    clause_6 ).

cnf(c_0_73,negated_conjecture,
    ( ~ p_1_4
    | ~ p_1_3
    | ~ p_1_2
    | ~ p_1_1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).

cnf(c_0_74,negated_conjecture,
    p_1_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_65])]),c_0_66]),c_0_67]),c_0_68]),c_0_69])]) ).

cnf(c_0_75,negated_conjecture,
    ( p_1_3
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    clause_5 ).

cnf(c_0_76,negated_conjecture,
    ( ~ p_1_3
    | ~ p_1_2
    | ~ p_1_1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).

cnf(c_0_77,negated_conjecture,
    p_1_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_65])]),c_0_66]),c_0_67]),c_0_68]),c_0_69])]) ).

cnf(c_0_78,negated_conjecture,
    ( p_1_2
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    clause_4 ).

cnf(c_0_79,negated_conjecture,
    ( p_1_1
    | ~ p_2_1
    | ~ p_2_2
    | ~ p_2_3
    | ~ p_2_4
    | ~ p_2_5 ),
    clause_3 ).

cnf(c_0_80,negated_conjecture,
    ( ~ p_1_2
    | ~ p_1_1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]) ).

cnf(c_0_81,negated_conjecture,
    p_1_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_65])]),c_0_66]),c_0_67]),c_0_68]),c_0_69])]) ).

cnf(c_0_82,negated_conjecture,
    p_1_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_65])]),c_0_66]),c_0_67]),c_0_68]),c_0_69])]) ).

cnf(c_0_83,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]),c_0_82])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN010-1.005.005 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36  % Computer : n016.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 18:21:42 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.22/0.58  start to proof: theBenchmark
% 0.22/0.60  % Version  : CSE_E---1.5
% 0.22/0.60  % Problem  : theBenchmark.p
% 0.22/0.60  % Proof found
% 0.22/0.60  % SZS status Theorem for theBenchmark.p
% 0.22/0.60  % SZS output start Proof
% See solution above
% 0.22/0.60  % Total time : 0.005000 s
% 0.22/0.60  % SZS output end Proof
% 0.22/0.60  % Total time : 0.008000 s
%------------------------------------------------------------------------------