TSTP Solution File: SYN067-2 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN067-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 03:05:04 EDT 2023

% Result   : Unsatisfiable 2.76s 1.16s
% Output   : CNFRefutation 2.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   42
% Syntax   : Number of clauses     :  346 (  12 unt; 235 nHn; 325 RR)
%            Number of literals    : 1390 (   0 equ; 725 neg)
%            Maximal clause size   :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  17 usr;  16 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-1 aty)
%            Number of variables   :  155 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_r(sk2(X0),sk1(X0))
    | big_r(sk6(X2),sk5(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_1) ).

cnf(c_50,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_r(sk6(X2),sk5(X2))
    | big_r(X0,sk2(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_2) ).

cnf(c_51,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_r(sk2(X0),sk1(X0))
    | big_r(X2,sk6(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_3) ).

cnf(c_52,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_r(X0,sk2(X0))
    | big_r(X2,sk6(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_4) ).

cnf(c_53,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_r(sk6(X2),sk5(X2))
    | big_p(sk1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_5) ).

cnf(c_54,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_r(X2,sk6(X2))
    | big_p(sk1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_6) ).

cnf(c_55,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_r(sk2(X0),sk1(X0))
    | big_p(sk5(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_7) ).

cnf(c_56,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_r(X0,sk2(X0))
    | big_p(sk5(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_8) ).

cnf(c_57,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_p(sk1(X0))
    | big_p(sk5(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_9) ).

cnf(c_70,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_p(X1)
    | big_r(sk2(X0),sk1(X0))
    | big_p(sk3(X2))
    | big_p(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_22) ).

cnf(c_71,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_p(X1)
    | big_r(X0,sk2(X0))
    | big_p(sk3(X2))
    | big_p(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_23) ).

cnf(c_72,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_p(X1)
    | big_p(sk1(X0))
    | big_p(sk3(X2))
    | big_p(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_24) ).

cnf(c_73,negated_conjecture,
    ( big_r(sk2(X0),sk1(X0))
    | big_r(sk4(X1),sk3(X1))
    | big_p(X0)
    | big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_25) ).

cnf(c_74,negated_conjecture,
    ( big_r(sk2(X0),sk1(X0))
    | big_r(X1,sk4(X1))
    | big_p(X0)
    | big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_26) ).

cnf(c_75,negated_conjecture,
    ( big_r(sk4(X0),sk3(X0))
    | big_r(X1,sk2(X1))
    | big_p(X0)
    | big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_27) ).

cnf(c_76,negated_conjecture,
    ( big_r(X0,sk4(X0))
    | big_r(X1,sk2(X1))
    | big_p(X0)
    | big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_28) ).

cnf(c_77,negated_conjecture,
    ( big_r(sk2(X0),sk1(X0))
    | big_p(sk3(X1))
    | big_p(X0)
    | big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_29) ).

cnf(c_78,negated_conjecture,
    ( big_r(X0,sk2(X0))
    | big_p(sk3(X1))
    | big_p(X0)
    | big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_30) ).

cnf(c_79,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_p(X1)
    | big_r(sk6(X0),sk5(X0))
    | big_p(sk1(X2))
    | big_p(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_31) ).

cnf(c_80,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_p(X1)
    | big_r(X0,sk6(X0))
    | big_p(sk1(X2))
    | big_p(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_32) ).

cnf(c_81,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_p(X1)
    | big_p(sk1(X2))
    | big_p(sk5(X0))
    | big_p(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_33) ).

cnf(c_82,negated_conjecture,
    ( big_r(sk4(X0),sk3(X0))
    | big_p(sk1(X1))
    | big_p(X0)
    | big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_34) ).

cnf(c_83,negated_conjecture,
    ( big_r(X0,sk4(X0))
    | big_p(sk1(X1))
    | big_p(X0)
    | big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_35) ).

cnf(c_84,negated_conjecture,
    ( big_p(sk1(X0))
    | big_p(sk3(X1))
    | big_p(X0)
    | big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_36) ).

cnf(c_86,negated_conjecture,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_p(sk11)
    | big_p(sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_38) ).

cnf(c_87,negated_conjecture,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk10,sk11)
    | big_p(sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_39) ).

cnf(c_88,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk10,X0)
    | ~ big_p(X1)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_p(sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_40) ).

cnf(c_89,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk9,X0)
    | ~ big_p(X1)
    | ~ big_p(sk7)
    | big_p(sk11)
    | big_p(sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_41) ).

cnf(c_90,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk9,X0)
    | ~ big_p(X1)
    | ~ big_p(sk7)
    | big_r(sk10,sk11)
    | big_p(sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_42) ).

cnf(c_91,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_r(sk9,X0)
    | ~ big_r(sk10,X2)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | ~ big_p(sk7)
    | big_p(sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_43) ).

cnf(c_92,negated_conjecture,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk7,sk8)
    | big_p(sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_44) ).

cnf(c_93,negated_conjecture,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk7,sk8)
    | big_r(sk10,sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_45) ).

cnf(c_94,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk10,X0)
    | ~ big_p(X1)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk7,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_46) ).

cnf(c_95,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk9,X0)
    | ~ big_p(X1)
    | ~ big_p(sk7)
    | big_r(sk7,sk8)
    | big_p(sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_47) ).

cnf(c_96,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk9,X0)
    | ~ big_p(X1)
    | ~ big_p(sk7)
    | big_r(sk7,sk8)
    | big_r(sk10,sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_48) ).

cnf(c_97,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_r(sk9,X0)
    | ~ big_r(sk10,X2)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | ~ big_p(sk7)
    | big_r(sk7,sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_49) ).

cnf(c_98,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk7,X0)
    | ~ big_p(X1)
    | ~ big_p(sk9)
    | big_p(sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_50) ).

cnf(c_99,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk7,X0)
    | ~ big_p(X1)
    | ~ big_p(sk9)
    | big_r(sk10,sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_51) ).

cnf(c_100,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_r(sk7,X0)
    | ~ big_r(sk10,X2)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | ~ big_p(sk9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_52) ).

cnf(c_101,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_r(sk7,X0)
    | ~ big_r(sk9,X2)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_p(sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_53) ).

cnf(c_102,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_r(sk7,X0)
    | ~ big_r(sk9,X2)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | big_r(sk10,sk11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_54) ).

cnf(c_103,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(X2,X3)
    | ~ big_r(X4,X5)
    | ~ big_r(sk7,X0)
    | ~ big_r(sk9,X2)
    | ~ big_r(sk10,X4)
    | ~ big_p(X1)
    | ~ big_p(X3)
    | ~ big_p(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_55) ).

cnf(c_104,plain,
    ( big_p(sk1(sk7))
    | big_p(sk3(sk7))
    | big_p(sk7) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_105,plain,
    ( big_r(sk7,sk4(sk7))
    | big_p(sk1(sk7))
    | big_p(sk7) ),
    inference(instantiation,[status(thm)],[c_83]) ).

cnf(c_106,plain,
    ( big_r(sk7,sk2(sk7))
    | big_p(sk3(sk7))
    | big_p(sk7) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_108,plain,
    ( big_r(sk2(sk7),sk1(sk7))
    | big_p(sk3(sk7))
    | big_p(sk7) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_714,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk10,X0)
    | ~ big_p(X1)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_103]) ).

cnf(c_715,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk9,X0)
    | ~ big_p(X1)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_103]) ).

cnf(c_716,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk7,X0)
    | ~ big_p(X1)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_103]) ).

cnf(c_717,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).

cnf(c_718,negated_conjecture,
    ( big_r(sk10,sk11)
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_102]) ).

cnf(c_719,negated_conjecture,
    ( big_p(sk11)
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_101]) ).

cnf(c_720,negated_conjecture,
    ( ~ big_p(sk9)
    | sP0_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_100]) ).

cnf(c_721,negated_conjecture,
    ( ~ big_p(sk9)
    | big_r(sk10,sk11)
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_99]) ).

cnf(c_722,negated_conjecture,
    ( ~ big_p(sk9)
    | big_p(sk11)
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_98]) ).

cnf(c_723,negated_conjecture,
    ( ~ big_p(sk7)
    | big_r(sk7,sk8)
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_97]) ).

cnf(c_724,negated_conjecture,
    ( ~ big_p(sk7)
    | big_r(sk7,sk8)
    | big_r(sk10,sk11)
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_96]) ).

cnf(c_725,negated_conjecture,
    ( ~ big_p(sk7)
    | big_r(sk7,sk8)
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).

cnf(c_726,negated_conjecture,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk7,sk8)
    | sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_94]) ).

cnf(c_727,negated_conjecture,
    ( ~ big_p(sk7)
    | big_p(sk8)
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_91]) ).

cnf(c_728,negated_conjecture,
    ( ~ big_p(sk7)
    | big_r(sk10,sk11)
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_90]) ).

cnf(c_729,negated_conjecture,
    ( ~ big_p(sk7)
    | big_p(sk11)
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).

cnf(c_730,negated_conjecture,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_p(sk8)
    | sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_88]) ).

cnf(c_731,negated_conjecture,
    ( big_p(X0)
    | big_p(sk3(X0))
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_84]) ).

cnf(c_732,negated_conjecture,
    ( big_p(X0)
    | big_p(sk1(X0))
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_84]) ).

cnf(c_733,negated_conjecture,
    ( sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_84]) ).

cnf(c_734,negated_conjecture,
    ( big_r(X0,sk4(X0))
    | big_p(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_83]) ).

cnf(c_735,negated_conjecture,
    ( sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).

cnf(c_736,negated_conjecture,
    ( big_r(sk4(X0),sk3(X0))
    | big_p(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_82]) ).

cnf(c_737,negated_conjecture,
    ( sP4_iProver_split
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82]) ).

cnf(c_738,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_p(X1)
    | big_p(sk5(X0))
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_81]) ).

cnf(c_740,negated_conjecture,
    ( ~ big_r(X0,X1)
    | big_r(X0,sk6(X0))
    | ~ big_p(X1)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_80]) ).

cnf(c_742,negated_conjecture,
    ( ~ big_r(X0,X1)
    | big_r(sk6(X0),sk5(X0))
    | ~ big_p(X1)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_79]) ).

cnf(c_744,negated_conjecture,
    ( big_r(X0,sk2(X0))
    | big_p(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_78]) ).

cnf(c_745,negated_conjecture,
    ( sP3_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_78]) ).

cnf(c_746,negated_conjecture,
    ( big_r(sk2(X0),sk1(X0))
    | big_p(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_77]) ).

cnf(c_747,negated_conjecture,
    ( sP3_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_77]) ).

cnf(c_748,negated_conjecture,
    ( sP5_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_76]) ).

cnf(c_749,negated_conjecture,
    ( sP6_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_75]) ).

cnf(c_750,negated_conjecture,
    ( sP5_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_74]) ).

cnf(c_751,negated_conjecture,
    ( sP6_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_73]) ).

cnf(c_752,negated_conjecture,
    ( ~ big_r(X0,X1)
    | ~ big_p(X1)
    | big_p(sk1(X0))
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_72]) ).

cnf(c_754,negated_conjecture,
    ( ~ big_r(X0,X1)
    | big_r(X0,sk2(X0))
    | ~ big_p(X1)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_71]) ).

cnf(c_756,negated_conjecture,
    ( ~ big_r(X0,X1)
    | big_r(sk2(X0),sk1(X0))
    | ~ big_p(X1)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_70]) ).

cnf(c_770,negated_conjecture,
    ( sP7_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_57]) ).

cnf(c_771,negated_conjecture,
    ( sP7_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_56]) ).

cnf(c_772,negated_conjecture,
    ( sP7_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_55]) ).

cnf(c_773,negated_conjecture,
    ( sP8_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_54]) ).

cnf(c_774,negated_conjecture,
    ( sP9_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_53]) ).

cnf(c_775,negated_conjecture,
    ( sP8_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_52]) ).

cnf(c_776,negated_conjecture,
    ( sP8_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_51]) ).

cnf(c_777,negated_conjecture,
    ( sP9_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_50]) ).

cnf(c_778,negated_conjecture,
    ( sP9_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_49]) ).

cnf(c_780,plain,
    ( ~ sP4_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk7) ),
    inference(instantiation,[status(thm)],[c_732]) ).

cnf(c_782,plain,
    ( ~ sP10_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk7) ),
    inference(instantiation,[status(thm)],[c_744]) ).

cnf(c_784,plain,
    ( ~ sP11_iProver_split
    | big_r(sk2(sk7),sk1(sk7))
    | big_p(sk7) ),
    inference(instantiation,[status(thm)],[c_746]) ).

cnf(c_796,plain,
    ( ~ big_r(sk10,sk11)
    | ~ big_p(sk11)
    | ~ sP7_iProver_split
    | big_p(sk5(sk10)) ),
    inference(instantiation,[status(thm)],[c_738]) ).

cnf(c_797,plain,
    ( ~ big_r(sk10,sk11)
    | ~ big_p(sk11)
    | ~ sP8_iProver_split
    | big_r(sk10,sk6(sk10)) ),
    inference(instantiation,[status(thm)],[c_740]) ).

cnf(c_798,plain,
    ( ~ big_r(sk10,sk11)
    | ~ big_p(sk11)
    | ~ sP9_iProver_split
    | big_r(sk6(sk10),sk5(sk10)) ),
    inference(instantiation,[status(thm)],[c_742]) ).

cnf(c_802,plain,
    ( ~ big_r(sk6(sk10),X0)
    | ~ big_r(sk10,sk6(sk10))
    | ~ big_p(X0)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_714]) ).

cnf(c_807,plain,
    ( ~ big_r(sk10,sk11)
    | ~ big_p(sk11)
    | ~ sP12_iProver_split
    | big_p(sk1(sk10)) ),
    inference(instantiation,[status(thm)],[c_752]) ).

cnf(c_808,plain,
    ( ~ big_r(sk10,sk11)
    | ~ big_p(sk11)
    | ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10)) ),
    inference(instantiation,[status(thm)],[c_754]) ).

cnf(c_809,plain,
    ( ~ big_r(sk10,sk11)
    | ~ big_p(sk11)
    | ~ sP14_iProver_split
    | big_r(sk2(sk10),sk1(sk10)) ),
    inference(instantiation,[status(thm)],[c_756]) ).

cnf(c_816,plain,
    ( ~ big_r(sk2(sk10),X0)
    | ~ big_r(sk10,sk2(sk10))
    | ~ big_p(X0)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_714]) ).

cnf(c_848,plain,
    ( ~ sP11_iProver_split
    | big_r(sk2(sk9),sk1(sk9))
    | big_p(sk9) ),
    inference(instantiation,[status(thm)],[c_746]) ).

cnf(c_849,plain,
    ( ~ sP10_iProver_split
    | big_r(sk9,sk2(sk9))
    | big_p(sk9) ),
    inference(instantiation,[status(thm)],[c_744]) ).

cnf(c_850,plain,
    ( ~ sP4_iProver_split
    | big_p(sk1(sk9))
    | big_p(sk9) ),
    inference(instantiation,[status(thm)],[c_732]) ).

cnf(c_851,plain,
    ( ~ sP6_iProver_split
    | big_r(sk4(sk9),sk3(sk9))
    | big_p(sk9) ),
    inference(instantiation,[status(thm)],[c_736]) ).

cnf(c_852,plain,
    ( ~ sP5_iProver_split
    | big_r(sk9,sk4(sk9))
    | big_p(sk9) ),
    inference(instantiation,[status(thm)],[c_734]) ).

cnf(c_853,plain,
    ( ~ sP3_iProver_split
    | big_p(sk3(sk9))
    | big_p(sk9) ),
    inference(instantiation,[status(thm)],[c_731]) ).

cnf(c_1005,plain,
    ( ~ big_r(sk4(sk9),X0)
    | ~ big_r(sk9,sk4(sk9))
    | ~ big_p(X0)
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_715]) ).

cnf(c_1142,plain,
    ( ~ big_r(sk4(sk9),sk3(sk9))
    | ~ big_r(sk9,sk4(sk9))
    | ~ big_p(sk3(sk9))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1005]) ).

cnf(c_2241,plain,
    ( ~ big_r(sk7,X0)
    | ~ big_p(sk2(X0))
    | ~ sP2_iProver_split
    | ~ sP10_iProver_split
    | big_p(X0) ),
    inference(superposition,[status(thm)],[c_744,c_716]) ).

cnf(c_2245,plain,
    ( ~ big_r(sk7,sk10)
    | ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP2_iProver_split
    | big_r(sk7,sk8) ),
    inference(superposition,[status(thm)],[c_93,c_716]) ).

cnf(c_2246,plain,
    ( ~ big_r(sk7,sk10)
    | ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP2_iProver_split
    | big_p(sk8) ),
    inference(superposition,[status(thm)],[c_87,c_716]) ).

cnf(c_2312,plain,
    ( ~ big_r(sk7,sk10)
    | ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP2_iProver_split
    | big_p(sk8) ),
    inference(superposition,[status(thm)],[c_87,c_716]) ).

cnf(c_2375,plain,
    ( ~ big_r(sk2(sk9),X0)
    | ~ big_r(sk9,sk2(sk9))
    | ~ big_p(X0)
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_715]) ).

cnf(c_2420,plain,
    ( ~ big_r(sk7,sk4(X0))
    | ~ big_p(sk3(X0))
    | ~ sP2_iProver_split
    | ~ sP6_iProver_split
    | big_p(X0) ),
    inference(superposition,[status(thm)],[c_736,c_716]) ).

cnf(c_2440,plain,
    ( ~ big_r(sk7,sk4(sk7))
    | ~ big_p(sk3(sk7))
    | ~ sP2_iProver_split
    | ~ sP6_iProver_split
    | big_p(sk7) ),
    inference(instantiation,[status(thm)],[c_2420]) ).

cnf(c_2447,plain,
    ( ~ big_r(sk7,sk4(X0))
    | ~ big_p(sk3(X0))
    | ~ sP2_iProver_split
    | ~ sP6_iProver_split
    | big_p(X0) ),
    inference(superposition,[status(thm)],[c_736,c_716]) ).

cnf(c_2448,plain,
    ( ~ big_r(sk9,sk4(X0))
    | ~ big_p(sk3(X0))
    | ~ sP1_iProver_split
    | ~ sP6_iProver_split
    | big_p(X0) ),
    inference(superposition,[status(thm)],[c_736,c_715]) ).

cnf(c_2772,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ sP7_iProver_split
    | big_p(sk5(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_728,c_738]) ).

cnf(c_2773,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk9)
    | ~ sP7_iProver_split
    | big_p(sk5(sk10))
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_721,c_738]) ).

cnf(c_2774,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP7_iProver_split
    | big_r(sk7,sk8)
    | big_p(sk5(sk10)) ),
    inference(superposition,[status(thm)],[c_93,c_738]) ).

cnf(c_2775,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP7_iProver_split
    | big_p(sk5(sk10))
    | big_p(sk8) ),
    inference(superposition,[status(thm)],[c_87,c_738]) ).

cnf(c_2777,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP7_iProver_split
    | big_p(sk5(sk7))
    | sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_726,c_738]) ).

cnf(c_2778,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP7_iProver_split
    | big_p(sk5(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_725,c_738]) ).

cnf(c_2779,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP7_iProver_split
    | big_p(sk5(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_723,c_738]) ).

cnf(c_2780,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP7_iProver_split
    | big_p(sk5(sk7))
    | big_p(sk11) ),
    inference(superposition,[status(thm)],[c_92,c_738]) ).

cnf(c_2876,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ sP7_iProver_split
    | big_p(sk5(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_728,c_738]) ).

cnf(c_2877,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk9)
    | ~ sP7_iProver_split
    | big_p(sk5(sk10))
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_721,c_738]) ).

cnf(c_2882,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP7_iProver_split
    | big_p(sk5(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_725,c_738]) ).

cnf(c_2883,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP7_iProver_split
    | big_p(sk5(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_723,c_738]) ).

cnf(c_3170,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_728,c_752]) ).

cnf(c_3172,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP12_iProver_split
    | big_r(sk7,sk8)
    | big_p(sk1(sk10)) ),
    inference(superposition,[status(thm)],[c_93,c_752]) ).

cnf(c_3173,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | big_p(sk8) ),
    inference(superposition,[status(thm)],[c_87,c_752]) ).

cnf(c_3174,plain,
    ( ~ big_p(sk11)
    | ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_718,c_752]) ).

cnf(c_3175,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_726,c_752]) ).

cnf(c_3176,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_725,c_752]) ).

cnf(c_3177,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_723,c_752]) ).

cnf(c_3178,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk11) ),
    inference(superposition,[status(thm)],[c_92,c_752]) ).

cnf(c_3274,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_728,c_752]) ).

cnf(c_3280,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_725,c_752]) ).

cnf(c_3403,plain,
    ( ~ big_r(sk2(sk9),sk1(sk9))
    | ~ big_r(sk9,sk2(sk9))
    | ~ big_p(sk1(sk9))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_2375]) ).

cnf(c_3510,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk9)
    | ~ sP8_iProver_split
    | big_r(sk10,sk6(sk10))
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_721,c_740]) ).

cnf(c_3511,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP8_iProver_split
    | big_r(sk10,sk6(sk10))
    | big_r(sk7,sk8) ),
    inference(superposition,[status(thm)],[c_93,c_740]) ).

cnf(c_3512,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP8_iProver_split
    | big_r(sk10,sk6(sk10))
    | big_p(sk8) ),
    inference(superposition,[status(thm)],[c_87,c_740]) ).

cnf(c_3513,plain,
    ( ~ big_p(sk11)
    | ~ sP8_iProver_split
    | big_r(sk10,sk6(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_718,c_740]) ).

cnf(c_3514,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP8_iProver_split
    | big_r(sk7,sk6(sk7))
    | sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_726,c_740]) ).

cnf(c_3516,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP8_iProver_split
    | big_r(sk7,sk6(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_723,c_740]) ).

cnf(c_3517,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP8_iProver_split
    | big_r(sk7,sk6(sk7))
    | big_p(sk11) ),
    inference(superposition,[status(thm)],[c_92,c_740]) ).

cnf(c_3614,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk9)
    | ~ sP8_iProver_split
    | big_r(sk10,sk6(sk10))
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_721,c_740]) ).

cnf(c_3615,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP8_iProver_split
    | big_r(sk10,sk6(sk10))
    | big_r(sk7,sk8) ),
    inference(superposition,[status(thm)],[c_93,c_740]) ).

cnf(c_3620,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP8_iProver_split
    | big_r(sk7,sk6(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_723,c_740]) ).

cnf(c_3621,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP8_iProver_split
    | big_r(sk7,sk6(sk7))
    | big_p(sk11) ),
    inference(superposition,[status(thm)],[c_92,c_740]) ).

cnf(c_3894,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10))
    | big_r(sk7,sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_724,c_754]) ).

cnf(c_3897,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10))
    | big_r(sk7,sk8) ),
    inference(superposition,[status(thm)],[c_93,c_754]) ).

cnf(c_3898,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10))
    | big_p(sk8) ),
    inference(superposition,[status(thm)],[c_87,c_754]) ).

cnf(c_3899,plain,
    ( ~ big_p(sk11)
    | ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_718,c_754]) ).

cnf(c_3900,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_726,c_754]) ).

cnf(c_3901,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_725,c_754]) ).

cnf(c_3902,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_723,c_754]) ).

cnf(c_3903,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk11) ),
    inference(superposition,[status(thm)],[c_92,c_754]) ).

cnf(c_4226,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk9)
    | ~ sP9_iProver_split
    | big_r(sk6(sk10),sk5(sk10))
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_721,c_742]) ).

cnf(c_4227,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP9_iProver_split
    | big_r(sk6(sk10),sk5(sk10))
    | big_r(sk7,sk8) ),
    inference(superposition,[status(thm)],[c_93,c_742]) ).

cnf(c_4228,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP9_iProver_split
    | big_r(sk6(sk10),sk5(sk10))
    | big_p(sk8) ),
    inference(superposition,[status(thm)],[c_87,c_742]) ).

cnf(c_4229,plain,
    ( ~ big_p(sk11)
    | ~ sP9_iProver_split
    | big_r(sk6(sk10),sk5(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_718,c_742]) ).

cnf(c_4232,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP9_iProver_split
    | big_r(sk6(sk7),sk5(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_723,c_742]) ).

cnf(c_4233,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP9_iProver_split
    | big_r(sk6(sk7),sk5(sk7))
    | big_p(sk11) ),
    inference(superposition,[status(thm)],[c_92,c_742]) ).

cnf(c_4330,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk9)
    | ~ sP9_iProver_split
    | big_r(sk6(sk10),sk5(sk10))
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_721,c_742]) ).

cnf(c_4333,plain,
    ( ~ big_p(sk11)
    | ~ sP9_iProver_split
    | big_r(sk6(sk10),sk5(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_718,c_742]) ).

cnf(c_4430,plain,
    ( ~ big_r(sk2(sk10),sk1(sk10))
    | ~ big_r(sk10,sk2(sk10))
    | ~ big_p(sk1(sk10))
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_816]) ).

cnf(c_4660,plain,
    ( ~ big_p(sk11)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP14_iProver_split
    | big_r(sk2(sk10),sk1(sk10))
    | big_r(sk7,sk8) ),
    inference(superposition,[status(thm)],[c_93,c_756]) ).

cnf(c_4662,plain,
    ( ~ big_p(sk11)
    | ~ sP14_iProver_split
    | big_r(sk2(sk10),sk1(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_718,c_756]) ).

cnf(c_4663,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7))
    | sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_726,c_756]) ).

cnf(c_4664,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_725,c_756]) ).

cnf(c_4665,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_723,c_756]) ).

cnf(c_4666,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7))
    | big_p(sk11) ),
    inference(superposition,[status(thm)],[c_92,c_756]) ).

cnf(c_5079,plain,
    ( ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_3174,c_719,c_3174]) ).

cnf(c_5099,plain,
    ( big_r(sk10,sk6(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_3513,c_773,c_775,c_776,c_717,c_719,c_3513,c_3899,c_4430,c_4662,c_5079]) ).

cnf(c_5225,plain,
    ( ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_3899,c_719,c_3899]) ).

cnf(c_5366,plain,
    ( ~ big_r(sk2(sk7),X0)
    | ~ big_r(sk7,sk2(sk7))
    | ~ big_p(X0)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_716]) ).

cnf(c_5367,plain,
    ( ~ big_r(sk7,X0)
    | ~ big_p(X0)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7)) ),
    inference(instantiation,[status(thm)],[c_754]) ).

cnf(c_5372,plain,
    ( ~ big_p(sk9)
    | big_p(sk5(sk10))
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_2877,c_770,c_771,c_772,c_720,c_722,c_721,c_807,c_808,c_809,c_2773,c_4430]) ).

cnf(c_5480,plain,
    ( ~ big_r(sk2(sk7),sk1(sk7))
    | ~ big_r(sk7,sk2(sk7))
    | ~ big_p(sk1(sk7))
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_5366]) ).

cnf(c_5481,plain,
    ( ~ big_r(sk7,X0)
    | ~ big_p(X0)
    | ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7)) ),
    inference(instantiation,[status(thm)],[c_756]) ).

cnf(c_5704,plain,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_p(sk5(sk10))
    | big_p(sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_2775,c_86,c_87,c_770,c_771,c_772,c_730,c_796,c_807,c_808,c_809,c_4430]) ).

cnf(c_5705,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_p(sk5(sk10))
    | big_p(sk8) ),
    inference(renaming,[status(thm)],[c_5704]) ).

cnf(c_5724,plain,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_p(sk5(sk7))
    | big_p(sk11) ),
    inference(global_subsumption_just,[status(thm)],[c_2780,c_86,c_770,c_771,c_772,c_722,c_2780,c_3178,c_3903,c_4666,c_5480]) ).

cnf(c_5725,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_p(sk5(sk7))
    | big_p(sk11) ),
    inference(renaming,[status(thm)],[c_5724]) ).

cnf(c_5744,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | big_p(sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_3173,c_86,c_3173]) ).

cnf(c_5768,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk11) ),
    inference(global_subsumption_just,[status(thm)],[c_3178,c_86,c_3178]) ).

cnf(c_5770,plain,
    ( ~ big_p(sk9)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk11) ),
    inference(global_subsumption_just,[status(thm)],[c_5768,c_104,c_105,c_737,c_722,c_780,c_2440,c_5768]) ).

cnf(c_5810,plain,
    ( big_r(sk6(sk10),sk5(sk10))
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_4229,c_774,c_777,c_778,c_717,c_719,c_3899,c_4229,c_4430,c_4662,c_5079]) ).

cnf(c_5826,plain,
    ( ~ big_r(sk10,sk6(sk10))
    | ~ big_p(sk5(sk10))
    | ~ sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_5810,c_714]) ).

cnf(c_5862,plain,
    ( sP1_iProver_split
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_4333,c_770,c_771,c_772,c_717,c_719,c_718,c_796,c_4430,c_4662,c_5079,c_5099,c_5225,c_5826]) ).

cnf(c_5910,plain,
    ( ~ big_p(sk7)
    | big_p(sk5(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_2883,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_717,c_719,c_718,c_720,c_727,c_730,c_796,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_2779,c_2777,c_3177,c_3175,c_3403,c_3902,c_3900,c_4430,c_4662,c_4665,c_4663,c_5079,c_5099,c_5225,c_5480,c_5826]) ).

cnf(c_5987,plain,
    ( ~ big_r(sk7,sk10)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP2_iProver_split
    | big_p(sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_2312,c_86,c_2246]) ).

cnf(c_6019,plain,
    ( ~ big_p(sk9)
    | big_r(sk10,sk6(sk10))
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_3614,c_773,c_775,c_776,c_720,c_722,c_721,c_807,c_808,c_809,c_3510,c_4430]) ).

cnf(c_6074,plain,
    ( ~ big_r(sk7,sk8)
    | ~ big_p(sk8)
    | ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7)) ),
    inference(instantiation,[status(thm)],[c_5481]) ).

cnf(c_6436,plain,
    ( ~ big_r(sk7,sk8)
    | ~ big_p(sk8)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7)) ),
    inference(instantiation,[status(thm)],[c_752]) ).

cnf(c_6850,plain,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_r(sk7,sk8)
    | big_p(sk5(sk10)) ),
    inference(global_subsumption_just,[status(thm)],[c_2774,c_92,c_93,c_770,c_771,c_772,c_726,c_796,c_3172,c_3897,c_4430,c_4660]) ).

cnf(c_6851,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk7,sk8)
    | big_p(sk5(sk10)) ),
    inference(renaming,[status(thm)],[c_6850]) ).

cnf(c_7023,plain,
    ( ~ big_r(sk7,sk8)
    | ~ big_p(sk8)
    | ~ sP9_iProver_split
    | big_r(sk6(sk7),sk5(sk7)) ),
    inference(instantiation,[status(thm)],[c_742]) ).

cnf(c_7207,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP12_iProver_split
    | big_r(sk7,sk8)
    | big_p(sk1(sk10)) ),
    inference(global_subsumption_just,[status(thm)],[c_3172,c_92,c_3172]) ).

cnf(c_7383,plain,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_r(sk10,sk6(sk10))
    | big_p(sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_3512,c_86,c_87,c_773,c_775,c_776,c_730,c_807,c_808,c_809,c_3512,c_4430]) ).

cnf(c_7384,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk10,sk6(sk10))
    | big_p(sk8) ),
    inference(renaming,[status(thm)],[c_7383]) ).

cnf(c_8075,plain,
    ( ~ big_p(sk2(sk2(sk7)))
    | ~ sP2_iProver_split
    | ~ sP10_iProver_split
    | big_p(sk2(sk7))
    | big_p(sk7) ),
    inference(superposition,[status(thm)],[c_744,c_2241]) ).

cnf(c_8169,plain,
    ( ~ big_r(sk7,sk8)
    | ~ big_p(sk8)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7)) ),
    inference(instantiation,[status(thm)],[c_5367]) ).

cnf(c_8441,plain,
    ( ~ big_p(sk7)
    | big_p(sk5(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_2876,c_86,c_87,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_727,c_729,c_728,c_730,c_796,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_2772,c_3170,c_3403,c_4430,c_5744]) ).

cnf(c_8451,plain,
    ( ~ big_p(sk7)
    | big_p(sk5(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_2882,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_717,c_719,c_718,c_729,c_796,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_2778,c_3176,c_3403,c_3901,c_4430,c_4662,c_4664,c_5079,c_5099,c_5225,c_5480,c_5725,c_5770,c_5826]) ).

cnf(c_8484,plain,
    ( ~ big_p(sk7)
    | ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_3274,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_729,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3170,c_3403,c_5744]) ).

cnf(c_8508,plain,
    ( ~ big_p(sk7)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_3280,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_729,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3176,c_3403,c_5770]) ).

cnf(c_8510,plain,
    ( ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_8508,c_104,c_105,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_717,c_719,c_718,c_780,c_796,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_2440,c_3403,c_4430,c_4662,c_5079,c_5099,c_5225,c_5770,c_5826,c_8508]) ).

cnf(c_8803,plain,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_r(sk7,sk6(sk7))
    | big_p(sk11) ),
    inference(global_subsumption_just,[status(thm)],[c_3517,c_86,c_92,c_773,c_775,c_776,c_722,c_3517,c_5480,c_6074,c_6436,c_8169]) ).

cnf(c_8804,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk7,sk6(sk7))
    | big_p(sk11) ),
    inference(renaming,[status(thm)],[c_8803]) ).

cnf(c_9022,plain,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_r(sk7,sk6(sk7))
    | big_p(sk11) ),
    inference(global_subsumption_just,[status(thm)],[c_3621,c_8804]) ).

cnf(c_9023,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk7,sk6(sk7))
    | big_p(sk11) ),
    inference(renaming,[status(thm)],[c_9022]) ).

cnf(c_9149,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10))
    | big_p(sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_3898,c_86,c_3898]) ).

cnf(c_9315,plain,
    ( ~ big_r(X0,sk8)
    | ~ big_p(sk8)
    | ~ sP7_iProver_split
    | big_p(sk5(X0)) ),
    inference(instantiation,[status(thm)],[c_738]) ).

cnf(c_9316,plain,
    ( ~ big_r(sk7,sk8)
    | ~ big_p(sk8)
    | ~ sP7_iProver_split
    | big_p(sk5(sk7)) ),
    inference(instantiation,[status(thm)],[c_9315]) ).

cnf(c_9849,plain,
    ( ~ big_r(sk7,sk10)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP2_iProver_split
    | big_r(sk7,sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_2245,c_92,c_2245]) ).

cnf(c_9870,plain,
    ( ~ big_p(sk7)
    | ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_3170,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_5744,c_8484]) ).

cnf(c_10249,plain,
    ( ~ big_r(sk6(sk10),sk5(sk10))
    | ~ big_r(sk10,sk6(sk10))
    | ~ big_p(sk5(sk10))
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_802]) ).

cnf(c_11111,plain,
    ( ~ big_p(sk7)
    | big_r(sk7,sk6(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_3620,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_775,c_776,c_717,c_719,c_718,c_720,c_727,c_730,c_726,c_796,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3177,c_3403,c_3516,c_3514,c_3902,c_4430,c_4662,c_4665,c_5079,c_5099,c_5225,c_5480,c_5826,c_6074,c_6436,c_8169]) ).

cnf(c_12489,plain,
    ( ~ big_p(sk9)
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_4330,c_774,c_777,c_778,c_720,c_722,c_721,c_807,c_808,c_809,c_4226,c_4430,c_5372,c_6019,c_10249]) ).

cnf(c_12495,plain,
    ( ~ big_r(sk7,sk10)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_p(sk8) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_5987,c_12489]) ).

cnf(c_12508,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_p(sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_12495,c_86,c_87,c_774,c_777,c_778,c_730,c_807,c_809,c_4228,c_4430,c_5705,c_7384,c_9149,c_10249]) ).

cnf(c_12516,plain,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_r(sk10,sk6(sk10))
    | big_r(sk7,sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_3615,c_92,c_773,c_775,c_776,c_726,c_3511,c_3897,c_4430,c_4660,c_7207]) ).

cnf(c_12517,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk10,sk6(sk10))
    | big_r(sk7,sk8) ),
    inference(renaming,[status(thm)],[c_12516]) ).

cnf(c_12518,plain,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_r(sk7,sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_12517,c_92,c_774,c_777,c_778,c_726,c_3897,c_4227,c_4430,c_4660,c_6851,c_7207,c_10249,c_12517]) ).

cnf(c_12519,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk7,sk8) ),
    inference(renaming,[status(thm)],[c_12518]) ).

cnf(c_12526,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7)) ),
    inference(superposition,[status(thm)],[c_12519,c_756]) ).

cnf(c_12528,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7)) ),
    inference(superposition,[status(thm)],[c_12519,c_754]) ).

cnf(c_12531,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | ~ sP7_iProver_split
    | big_p(sk5(sk7)) ),
    inference(superposition,[status(thm)],[c_12519,c_738]) ).

cnf(c_12769,plain,
    ( ~ big_p(sk9)
    | ~ big_p(sk7)
    | big_p(sk5(sk7)) ),
    inference(global_subsumption_just,[status(thm)],[c_12531,c_86,c_92,c_87,c_770,c_771,c_772,c_774,c_777,c_778,c_720,c_722,c_721,c_730,c_726,c_807,c_808,c_809,c_3897,c_4226,c_4228,c_4227,c_4430,c_4660,c_5372,c_5480,c_5705,c_6019,c_6074,c_6436,c_6851,c_7207,c_7384,c_9149,c_10249,c_12517,c_12531,c_12528]) ).

cnf(c_12770,plain,
    ( ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_p(sk5(sk7)) ),
    inference(renaming,[status(thm)],[c_12769]) ).

cnf(c_12799,plain,
    ( ~ big_p(sk3(sk7))
    | ~ sP2_iProver_split
    | ~ sP5_iProver_split
    | ~ sP6_iProver_split
    | big_p(sk7) ),
    inference(superposition,[status(thm)],[c_734,c_2447]) ).

cnf(c_12805,plain,
    ( ~ sP2_iProver_split
    | ~ sP5_iProver_split
    | ~ sP6_iProver_split
    | big_p(sk7) ),
    inference(global_subsumption_just,[status(thm)],[c_12799,c_104,c_106,c_108,c_5480,c_12799]) ).

cnf(c_12807,plain,
    ( ~ sP5_iProver_split
    | ~ sP6_iProver_split
    | big_p(sk7) ),
    inference(global_subsumption_just,[status(thm)],[c_12805,c_733,c_745,c_747,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_5862,c_12489,c_12805]) ).

cnf(c_12809,plain,
    ( ~ sP6_iProver_split
    | big_p(sk7) ),
    inference(global_subsumption_just,[status(thm)],[c_12807,c_735,c_748,c_750,c_780,c_782,c_784,c_850,c_849,c_848,c_3403,c_5480,c_5862,c_12489,c_12807]) ).

cnf(c_12811,plain,
    big_p(sk7),
    inference(global_subsumption_just,[status(thm)],[c_12809,c_737,c_749,c_751,c_780,c_782,c_784,c_850,c_849,c_848,c_3403,c_5480,c_5862,c_12489,c_12809]) ).

cnf(c_12816,plain,
    ( ~ big_p(sk9)
    | big_r(sk7,sk8) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_12519,c_12811]) ).

cnf(c_12818,plain,
    ( big_r(sk7,sk6(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_11111,c_12811]) ).

cnf(c_12819,plain,
    ( ~ big_p(sk9)
    | big_r(sk7,sk6(sk7))
    | big_p(sk11) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_9023,c_12811]) ).

cnf(c_12821,plain,
    ( ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_8484,c_12811]) ).

cnf(c_12827,plain,
    ( big_p(sk5(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_5910,c_12811]) ).

cnf(c_12829,plain,
    ( big_p(sk11)
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_729,c_12811]) ).

cnf(c_12830,plain,
    ( big_r(sk10,sk11)
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_728,c_12811]) ).

cnf(c_12831,plain,
    ( big_p(sk8)
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_727,c_12811]) ).

cnf(c_12832,plain,
    ( big_r(sk7,sk8)
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_725,c_12811]) ).

cnf(c_12833,plain,
    ( big_r(sk7,sk8)
    | big_r(sk10,sk11)
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_724,c_12811]) ).

cnf(c_12834,plain,
    ( big_r(sk7,sk8)
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_723,c_12811]) ).

cnf(c_12918,plain,
    ( ~ big_p(sk8)
    | ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12834,c_756]) ).

cnf(c_12919,plain,
    ( ~ big_p(sk8)
    | ~ sP9_iProver_split
    | big_r(sk6(sk7),sk5(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12834,c_742]) ).

cnf(c_12952,plain,
    ( ~ big_p(sk11)
    | ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12830,c_754]) ).

cnf(c_12953,plain,
    ( ~ big_p(sk11)
    | ~ sP8_iProver_split
    | big_r(sk10,sk6(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12830,c_740]) ).

cnf(c_12999,plain,
    ( ~ big_p(sk8)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12832,c_754]) ).

cnf(c_13069,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk9)
    | ~ sP9_iProver_split
    | big_r(sk6(sk7),sk5(sk7)) ),
    inference(superposition,[status(thm)],[c_12816,c_742]) ).

cnf(c_13071,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk9)
    | ~ sP8_iProver_split
    | big_r(sk7,sk6(sk7)) ),
    inference(superposition,[status(thm)],[c_12816,c_740]) ).

cnf(c_13127,plain,
    ( ~ big_p(sk11)
    | ~ sP14_iProver_split
    | big_r(sk2(sk10),sk1(sk10))
    | big_r(sk7,sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12833,c_756]) ).

cnf(c_13128,plain,
    ( ~ big_p(sk11)
    | ~ sP9_iProver_split
    | big_r(sk6(sk10),sk5(sk10))
    | big_r(sk7,sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12833,c_742]) ).

cnf(c_13129,plain,
    ( ~ big_p(sk11)
    | ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10))
    | big_r(sk7,sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12833,c_754]) ).

cnf(c_13130,plain,
    ( ~ big_p(sk11)
    | ~ sP8_iProver_split
    | big_r(sk10,sk6(sk10))
    | big_r(sk7,sk8)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12833,c_740]) ).

cnf(c_13131,plain,
    ( ~ big_p(sk11)
    | ~ sP12_iProver_split
    | big_r(sk7,sk8)
    | big_p(sk1(sk10))
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12833,c_752]) ).

cnf(c_13132,plain,
    ( ~ big_p(sk11)
    | ~ sP7_iProver_split
    | big_r(sk7,sk8)
    | big_p(sk5(sk10))
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_12833,c_738]) ).

cnf(c_13189,plain,
    ( ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_12918,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_780,c_782,c_730,c_784,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4665,c_5480,c_5862,c_12489,c_12526,c_12809,c_12831]) ).

cnf(c_13205,plain,
    ( ~ big_r(sk7,sk2(sk7))
    | ~ big_p(sk1(sk7))
    | ~ sP2_iProver_split
    | ~ sP14_iProver_split
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_13189,c_716]) ).

cnf(c_13284,plain,
    ( ~ big_p(sk9)
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_4226,c_774,c_777,c_778,c_720,c_722,c_721,c_807,c_808,c_809,c_4226,c_4430,c_5372,c_6019,c_10249]) ).

cnf(c_13290,plain,
    ( ~ big_r(sk7,sk10)
    | ~ big_p(sk7)
    | ~ big_p(sk9)
    | big_r(sk7,sk8) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_9849,c_13284]) ).

cnf(c_13302,plain,
    ( ~ big_p(sk9)
    | big_r(sk7,sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_13290,c_737,c_749,c_751,c_780,c_782,c_784,c_850,c_849,c_848,c_3403,c_5480,c_5862,c_12489,c_12519,c_12809]) ).

cnf(c_13312,plain,
    ( ~ big_p(sk8)
    | ~ big_p(sk9)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7)) ),
    inference(superposition,[status(thm)],[c_13302,c_752]) ).

cnf(c_13375,plain,
    ( big_r(sk6(sk7),sk5(sk7))
    | ~ big_p(sk9) ),
    inference(global_subsumption_just,[status(thm)],[c_4233,c_86,c_92,c_87,c_737,c_749,c_751,c_774,c_777,c_778,c_720,c_722,c_721,c_780,c_782,c_730,c_784,c_726,c_807,c_808,c_809,c_850,c_849,c_848,c_3403,c_3897,c_4226,c_4228,c_4227,c_4430,c_4660,c_5372,c_5480,c_5705,c_5862,c_6019,c_6074,c_6436,c_6851,c_7207,c_7384,c_9149,c_10249,c_12489,c_12517,c_12528,c_12809,c_13069]) ).

cnf(c_13376,plain,
    ( ~ big_p(sk9)
    | big_r(sk6(sk7),sk5(sk7)) ),
    inference(renaming,[status(thm)],[c_13375]) ).

cnf(c_13387,plain,
    ( ~ big_r(sk7,sk6(sk7))
    | ~ big_p(sk5(sk7))
    | ~ big_p(sk9)
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_13376,c_716]) ).

cnf(c_13426,plain,
    ~ big_p(sk9),
    inference(global_subsumption_just,[status(thm)],[c_13312,c_737,c_749,c_751,c_773,c_774,c_775,c_776,c_777,c_778,c_720,c_722,c_721,c_780,c_782,c_784,c_807,c_808,c_809,c_850,c_849,c_848,c_3403,c_4226,c_4430,c_5372,c_5480,c_5862,c_6019,c_6074,c_6436,c_8169,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_13071,c_13387]) ).

cnf(c_13540,plain,
    big_p(sk7),
    inference(global_subsumption_just,[status(thm)],[c_8075,c_737,c_749,c_751,c_780,c_782,c_784,c_850,c_849,c_848,c_3403,c_5480,c_5862,c_12489,c_12809]) ).

cnf(c_13544,plain,
    ( ~ sP12_iProver_split
    | big_p(sk1(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_9870,c_13540]) ).

cnf(c_13553,plain,
    ( big_r(sk7,sk8)
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_725,c_13540]) ).

cnf(c_13554,plain,
    ( big_r(sk7,sk8)
    | big_r(sk10,sk11)
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_724,c_13540]) ).

cnf(c_13555,plain,
    ( big_r(sk7,sk8)
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_723,c_13540]) ).

cnf(c_13622,plain,
    ( ~ big_r(sk7,sk7)
    | ~ big_p(sk8)
    | ~ sP2_iProver_split
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_13555,c_716]) ).

cnf(c_13719,plain,
    ( big_r(sk6(sk7),sk5(sk7))
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_12919,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_784,c_796,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4232,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12831,c_12834,c_13071,c_13205,c_13387]) ).

cnf(c_13733,plain,
    ( ~ big_r(sk7,sk6(sk7))
    | ~ big_p(sk5(sk7))
    | ~ sP2_iProver_split
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_13719,c_716]) ).

cnf(c_13818,plain,
    ( ~ big_p(sk8)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_13553,c_754]) ).

cnf(c_13924,plain,
    ( ~ big_p(sk11)
    | ~ sP12_iProver_split
    | big_r(sk7,sk8)
    | big_p(sk1(sk10))
    | sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_13554,c_752]) ).

cnf(c_14001,plain,
    ( big_r(sk10,sk2(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_12952,c_86,c_87,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_727,c_780,c_729,c_782,c_728,c_730,c_784,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_2772,c_3170,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5744,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12818,c_12952,c_13071,c_13387,c_13733]) ).

cnf(c_14102,plain,
    ( sP0_iProver_split
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_13622,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_784,c_796,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12827,c_12818,c_13071,c_13387,c_13733]) ).

cnf(c_14144,plain,
    ( big_p(sk1(sk10))
    | big_p(sk8)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_13544,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12818,c_12821,c_13071,c_13387,c_13733]) ).

cnf(c_14146,plain,
    ( big_p(sk8)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_14144,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12818,c_13071,c_13387,c_13733,c_14001,c_14144]) ).

cnf(c_14162,plain,
    ( ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_13818,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_724,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12832,c_12818,c_12999,c_13071,c_13132,c_13131,c_13130,c_13129,c_13128,c_13387,c_13733,c_14001,c_14144]) ).

cnf(c_14293,plain,
    ( big_p(sk8)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_12953,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_773,c_774,c_775,c_776,c_777,c_778,c_720,c_722,c_721,c_780,c_782,c_784,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_5372,c_5480,c_5862,c_6019,c_6074,c_6436,c_8169,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_13071,c_13387,c_14146]) ).

cnf(c_14301,plain,
    ~ big_p(sk9),
    inference(global_subsumption_just,[status(thm)],[c_12819,c_737,c_749,c_751,c_773,c_774,c_775,c_776,c_777,c_778,c_720,c_722,c_721,c_780,c_782,c_784,c_807,c_808,c_809,c_850,c_849,c_848,c_3403,c_4226,c_4430,c_5372,c_5480,c_5862,c_6019,c_6074,c_6436,c_8169,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_13071,c_13387]) ).

cnf(c_14339,plain,
    ( ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk11)
    | sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_12999,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_724,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12832,c_12818,c_13071,c_13132,c_13131,c_13130,c_13129,c_13128,c_13387,c_13733,c_14001,c_14144,c_14162]) ).

cnf(c_14522,plain,
    ( ~ big_r(sk9,sk4(X0))
    | ~ sP1_iProver_split
    | ~ sP6_iProver_split
    | big_p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_2448,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_13426]) ).

cnf(c_14524,plain,
    ( ~ sP1_iProver_split
    | ~ big_r(sk9,sk4(X0))
    | big_p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_14522,c_737,c_749,c_751,c_850,c_849,c_848,c_3403,c_13426,c_14522]) ).

cnf(c_14525,plain,
    ( ~ big_r(sk9,sk4(X0))
    | ~ sP1_iProver_split
    | big_p(X0) ),
    inference(renaming,[status(thm)],[c_14524]) ).

cnf(c_14532,plain,
    ( ~ sP1_iProver_split
    | ~ sP5_iProver_split
    | big_p(sk9) ),
    inference(superposition,[status(thm)],[c_734,c_14525]) ).

cnf(c_14533,plain,
    ( ~ sP1_iProver_split
    | ~ sP5_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14532,c_14301]) ).

cnf(c_14562,plain,
    ~ sP1_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_14533,c_735,c_748,c_750,c_850,c_849,c_848,c_3403,c_13426,c_14533]) ).

cnf(c_14566,plain,
    ( ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk11) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_14339,c_14562]) ).

cnf(c_14567,plain,
    big_p(sk8),
    inference(backward_subsumption_resolution,[status(thm)],[c_14293,c_14562]) ).

cnf(c_14569,plain,
    ( big_r(sk7,sk8)
    | big_r(sk10,sk11) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_12833,c_14562]) ).

cnf(c_14574,plain,
    sP2_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_5862,c_14562]) ).

cnf(c_14618,plain,
    ( ~ big_r(X0,X1)
    | ~ big_r(sk7,X0)
    | ~ big_p(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_716,c_14574]) ).

cnf(c_14739,plain,
    ( big_p(sk1(sk10))
    | big_r(sk7,sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_13131,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_784,c_724,c_796,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12827,c_12832,c_12818,c_13071,c_13131,c_13130,c_13128,c_13387,c_13733]) ).

cnf(c_14740,plain,
    ( big_r(sk7,sk8)
    | big_p(sk1(sk10)) ),
    inference(renaming,[status(thm)],[c_14739]) ).

cnf(c_14749,plain,
    ( ~ big_p(sk8)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk1(sk10)) ),
    inference(superposition,[status(thm)],[c_14740,c_754]) ).

cnf(c_14751,plain,
    ( ~ big_p(sk8)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk1(sk10)) ),
    inference(superposition,[status(thm)],[c_14740,c_752]) ).

cnf(c_14760,plain,
    ( ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk1(sk10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14751,c_14567]) ).

cnf(c_14768,plain,
    ( ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk1(sk10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14749,c_14567]) ).

cnf(c_14780,plain,
    ( big_p(sk5(sk10))
    | big_r(sk7,sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_13132,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_784,c_724,c_796,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12827,c_12832,c_12818,c_13071,c_13129,c_13127,c_13387,c_13733,c_14740]) ).

cnf(c_14781,plain,
    ( big_r(sk7,sk8)
    | big_p(sk5(sk10)) ),
    inference(renaming,[status(thm)],[c_14780]) ).

cnf(c_14790,plain,
    ( ~ big_p(sk8)
    | ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk5(sk10)) ),
    inference(superposition,[status(thm)],[c_14781,c_754]) ).

cnf(c_14792,plain,
    ( ~ big_p(sk8)
    | ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk5(sk10)) ),
    inference(superposition,[status(thm)],[c_14781,c_752]) ).

cnf(c_14793,plain,
    ( ~ big_p(sk8)
    | ~ sP7_iProver_split
    | big_p(sk5(sk7))
    | big_p(sk5(sk10)) ),
    inference(superposition,[status(thm)],[c_14781,c_738]) ).

cnf(c_14797,plain,
    ( ~ sP7_iProver_split
    | big_p(sk5(sk7))
    | big_p(sk5(sk10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14793,c_14567]) ).

cnf(c_14801,plain,
    ( ~ sP12_iProver_split
    | big_p(sk1(sk7))
    | big_p(sk5(sk10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14792,c_14567]) ).

cnf(c_14809,plain,
    ( ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7))
    | big_p(sk5(sk10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14790,c_14567]) ).

cnf(c_14870,plain,
    ( big_p(sk1(sk10))
    | big_r(sk7,sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_13924,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_784,c_724,c_796,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12827,c_12832,c_12818,c_13071,c_13131,c_13130,c_13128,c_13387,c_13733]) ).

cnf(c_14871,plain,
    ( big_r(sk7,sk8)
    | big_p(sk1(sk10)) ),
    inference(renaming,[status(thm)],[c_14870]) ).

cnf(c_14881,plain,
    ( ~ big_p(sk8)
    | ~ sP7_iProver_split
    | big_p(sk1(sk10))
    | big_p(sk5(sk7)) ),
    inference(superposition,[status(thm)],[c_14871,c_738]) ).

cnf(c_14937,plain,
    ( big_p(sk1(sk10))
    | big_p(sk5(sk7)) ),
    inference(global_subsumption_just,[status(thm)],[c_14881,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_724,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_9316,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12832,c_12818,c_13071,c_13131,c_13130,c_13128,c_13387,c_13733,c_14001,c_14144]) ).

cnf(c_15036,plain,
    ( ~ big_p(sk11)
    | ~ sP13_iProver_split
    | big_r(sk10,sk2(sk10))
    | big_r(sk7,sk8) ),
    inference(superposition,[status(thm)],[c_14569,c_754]) ).

cnf(c_15093,plain,
    ( big_r(sk7,sk2(sk7))
    | ~ sP13_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_14566,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_724,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12818,c_13071,c_13129,c_13387,c_13733,c_14001,c_14144,c_14162,c_14768,c_14809]) ).

cnf(c_15094,plain,
    ( ~ sP13_iProver_split
    | big_r(sk7,sk2(sk7)) ),
    inference(renaming,[status(thm)],[c_15093]) ).

cnf(c_15104,plain,
    ( ~ big_p(sk2(sk7))
    | ~ sP8_iProver_split
    | ~ sP13_iProver_split
    | big_r(sk7,sk6(sk7)) ),
    inference(superposition,[status(thm)],[c_15094,c_740]) ).

cnf(c_15105,plain,
    ( ~ big_p(sk2(sk7))
    | ~ sP12_iProver_split
    | ~ sP13_iProver_split
    | big_p(sk1(sk7)) ),
    inference(superposition,[status(thm)],[c_15094,c_752]) ).

cnf(c_15106,plain,
    ( ~ big_p(sk2(sk7))
    | ~ sP7_iProver_split
    | ~ sP13_iProver_split
    | big_p(sk5(sk7)) ),
    inference(superposition,[status(thm)],[c_15094,c_738]) ).

cnf(c_15150,plain,
    ( ~ sP12_iProver_split
    | ~ sP13_iProver_split
    | big_p(sk1(sk7)) ),
    inference(global_subsumption_just,[status(thm)],[c_15105,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_724,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_8510,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12818,c_13071,c_13130,c_13129,c_13128,c_13387,c_13733,c_14001,c_14144,c_14760,c_14801]) ).

cnf(c_15152,plain,
    ( ~ sP12_iProver_split
    | big_p(sk1(sk7)) ),
    inference(global_subsumption_just,[status(thm)],[c_15150,c_104,c_105,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_724,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_2440,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5770,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_8508,c_8510,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12818,c_13071,c_13130,c_13129,c_13128,c_13387,c_13733,c_14001,c_14144,c_14760,c_14801]) ).

cnf(c_15158,plain,
    ( ~ sP7_iProver_split
    | ~ sP13_iProver_split
    | big_p(sk5(sk7)) ),
    inference(global_subsumption_just,[status(thm)],[c_15106,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_724,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_3894,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_8451,c_9316,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12832,c_12818,c_13071,c_13130,c_13128,c_13387,c_13733,c_14001,c_14144,c_14781,c_14797,c_14937]) ).

cnf(c_15160,plain,
    ( ~ sP13_iProver_split
    | big_p(sk5(sk7)) ),
    inference(global_subsumption_just,[status(thm)],[c_15158,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_724,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_3894,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_8451,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12832,c_12818,c_12999,c_13071,c_13132,c_13131,c_13130,c_13129,c_13128,c_13127,c_13387,c_13733,c_14001,c_14144,c_14781,c_14937,c_15152,c_15158]) ).

cnf(c_15162,plain,
    big_p(sk5(sk7)),
    inference(global_subsumption_just,[status(thm)],[c_15160,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_8451,c_9316,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12818,c_13071,c_13130,c_13128,c_13387,c_13733,c_14001,c_14144,c_14797,c_15160]) ).

cnf(c_15164,plain,
    ( big_r(sk10,sk2(sk10))
    | big_r(sk7,sk8) ),
    inference(global_subsumption_just,[status(thm)],[c_15036,c_775,c_777,c_3894,c_10249,c_12811,c_12832,c_13130,c_13128,c_14102,c_14562,c_14781]) ).

cnf(c_15166,plain,
    big_r(sk7,sk8),
    inference(global_subsumption_just,[status(thm)],[c_15164,c_776,c_778,c_724,c_809,c_4430,c_10249,c_12811,c_12832,c_13130,c_13128,c_14102,c_14562,c_14740,c_14781,c_15164]) ).

cnf(c_15170,plain,
    ( ~ big_p(sk8)
    | ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7)) ),
    inference(superposition,[status(thm)],[c_15166,c_756]) ).

cnf(c_15171,plain,
    ( ~ big_p(sk8)
    | ~ sP9_iProver_split
    | big_r(sk6(sk7),sk5(sk7)) ),
    inference(superposition,[status(thm)],[c_15166,c_742]) ).

cnf(c_15173,plain,
    ( ~ big_p(sk8)
    | ~ sP8_iProver_split
    | big_r(sk7,sk6(sk7)) ),
    inference(superposition,[status(thm)],[c_15166,c_740]) ).

cnf(c_15177,plain,
    ( ~ sP8_iProver_split
    | big_r(sk7,sk6(sk7)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15173,c_14567]) ).

cnf(c_15180,plain,
    ( ~ sP9_iProver_split
    | big_r(sk6(sk7),sk5(sk7)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15171,c_14567]) ).

cnf(c_15183,plain,
    ( ~ sP14_iProver_split
    | big_r(sk2(sk7),sk1(sk7)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15170,c_14567]) ).

cnf(c_15188,plain,
    big_r(sk7,sk6(sk7)),
    inference(global_subsumption_just,[status(thm)],[c_15104,c_104,c_105,c_733,c_735,c_737,c_745,c_747,c_748,c_749,c_750,c_751,c_770,c_771,c_772,c_773,c_774,c_775,c_776,c_777,c_778,c_717,c_719,c_718,c_720,c_722,c_721,c_780,c_782,c_728,c_784,c_724,c_796,c_797,c_798,c_807,c_808,c_809,c_853,c_852,c_851,c_850,c_849,c_848,c_1142,c_2440,c_3403,c_4226,c_4430,c_4662,c_5079,c_5099,c_5225,c_5372,c_5480,c_5770,c_5826,c_5862,c_6019,c_6074,c_6436,c_8169,c_8441,c_8508,c_8510,c_10249,c_12489,c_12508,c_12519,c_12770,c_12809,c_12829,c_12827,c_12832,c_12818,c_13071,c_13130,c_13129,c_13128,c_13387,c_13733,c_14001,c_14144,c_14740,c_14760,c_14781,c_14801,c_15164,c_15177]) ).

cnf(c_15206,plain,
    big_r(sk6(sk7),sk5(sk7)),
    inference(global_subsumption_just,[status(thm)],[c_15180,c_774,c_777,c_778,c_5480,c_5862,c_7023,c_14146,c_14562,c_15094,c_15150,c_15166,c_15183]) ).

cnf(c_15208,plain,
    ( ~ big_r(sk7,sk6(sk7))
    | ~ big_p(sk5(sk7)) ),
    inference(superposition,[status(thm)],[c_15206,c_14618]) ).

cnf(c_15217,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_15208,c_15162,c_15188]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN067-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 18:09:24 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.76/1.16  % SZS status Started for theBenchmark.p
% 2.76/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 2.76/1.16  
% 2.76/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.76/1.16  
% 2.76/1.16  ------  iProver source info
% 2.76/1.16  
% 2.76/1.16  git: date: 2023-05-31 18:12:56 +0000
% 2.76/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.76/1.16  git: non_committed_changes: false
% 2.76/1.16  git: last_make_outside_of_git: false
% 2.76/1.16  
% 2.76/1.16  ------ Parsing...successful
% 2.76/1.16  
% 2.76/1.16  
% 2.76/1.16  
% 2.76/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.76/1.16  
% 2.76/1.16  ------ Preprocessing... gs_s  sp: 93 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.76/1.16  ------ Proving...
% 2.76/1.16  ------ Problem Properties 
% 2.76/1.16  
% 2.76/1.16  
% 2.76/1.16  clauses                                 70
% 2.76/1.16  conjectures                             70
% 2.76/1.16  EPR                                     58
% 2.76/1.16  Horn                                    10
% 2.76/1.16  unary                                   1
% 2.76/1.16  binary                                  36
% 2.76/1.16  lits                                    193
% 2.76/1.16  lits eq                                 0
% 2.76/1.16  fd_pure                                 0
% 2.76/1.16  fd_pseudo                               0
% 2.76/1.16  fd_cond                                 0
% 2.76/1.16  fd_pseudo_cond                          0
% 2.76/1.16  AC symbols                              0
% 2.76/1.16  
% 2.76/1.16  ------ Schedule dynamic 5 is on 
% 2.76/1.16  
% 2.76/1.16  ------ no equalities: superposition off 
% 2.76/1.16  
% 2.76/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.76/1.16  
% 2.76/1.16  
% 2.76/1.16  ------ 
% 2.76/1.16  Current options:
% 2.76/1.16  ------ 
% 2.76/1.16  
% 2.76/1.16  
% 2.76/1.16  
% 2.76/1.16  
% 2.76/1.16  ------ Proving...
% 2.76/1.16  
% 2.76/1.16  
% 2.76/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 2.76/1.16  
% 2.76/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.76/1.16  
% 2.76/1.16  
%------------------------------------------------------------------------------