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Leo-III---1.8.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 09:18:13 AM UTC 2026

% Result   : Unsatisfiable 6.36s 3.53s
% Output   : Refutation 6.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  113
% Syntax   : Number of formulae    :  227 (  93 unt;   0 typ;   0 def)
%            Number of atoms       :  497 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives : 2052 ( 270   ~; 270   |;   0   &;1512   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   90 (  89 usr;  30 con; 0-2 aty)
%            Number of variables   :  516 (   0   ^; 516   !;   0   ?; 516   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p10_decl,type,
    p10: $i > $i > $o ).

thf(p9_decl,type,
    p9: $i > $i > $o ).

thf(p7_decl,type,
    p7: $i > $i > $o ).

thf(p6_decl,type,
    p6: $i > $i > $o ).

thf(p57_decl,type,
    p57: $i > $i > $o ).

thf(p55_decl,type,
    p55: $i > $i > $o ).

thf(p53_decl,type,
    p53: $i > $i > $o ).

thf(p52_decl,type,
    p52: $i > $i > $o ).

thf(p50_decl,type,
    p50: $i > $i > $o ).

thf(p49_decl,type,
    p49: $i > $i > $o ).

thf(p47_decl,type,
    p47: $i > $i > $o ).

thf(p46_decl,type,
    p46: $i > $i > $o ).

thf(p44_decl,type,
    p44: $i > $i > $o ).

thf(p41_decl,type,
    p41: $i > $i > $o ).

thf(p4_decl,type,
    p4: $i > $i > $o ).

thf(p39_decl,type,
    p39: $i > $i > $o ).

thf(p37_decl,type,
    p37: $i > $i > $o ).

thf(p35_decl,type,
    p35: $i > $i > $o ).

thf(p34_decl,type,
    p34: $i > $i > $o ).

thf(p32_decl,type,
    p32: $i > $i > $o ).

thf(p30_decl,type,
    p30: $i > $i > $o ).

thf(p3_decl,type,
    p3: $i > $i > $o ).

thf(p28_decl,type,
    p28: $i > $i > $o ).

thf(p27_decl,type,
    p27: $i > $i > $o ).

thf(p26_decl,type,
    p26: $i > $i > $o ).

thf(p24_decl,type,
    p24: $i > $i > $o ).

thf(p23_decl,type,
    p23: $i > $i > $o ).

thf(p22_decl,type,
    p22: $i > $i > $o ).

thf(p20_decl,type,
    p20: $i > $i > $o ).

thf(p2_decl,type,
    p2: $i > $i > $o ).

thf(p19_decl,type,
    p19: $i > $i > $o ).

thf(p18_decl,type,
    p18: $i > $i > $o ).

thf(p16_decl,type,
    p16: $i > $i > $o ).

thf(p14_decl,type,
    p14: $i > $i > $o ).

thf(p12_decl,type,
    p12: $i > $i > $o ).

thf(c79_decl,type,
    c79: $i ).

thf(c77_decl,type,
    c77: $i ).

thf(p59_decl,type,
    p59: $i > $i > $o ).

thf(c64_decl,type,
    c64: $i ).

thf(c72_decl,type,
    c72: $i ).

thf(c69_decl,type,
    c69: $i ).

thf(c63_decl,type,
    c63: $i ).

thf(c62_decl,type,
    c62: $i ).

thf(p60_decl,type,
    p60: $i > $i > $o ).

thf(f25_decl,type,
    f25: $i > $i > $i ).

thf(c75_decl,type,
    c75: $i ).

thf(f21_decl,type,
    f21: $i > $i > $i ).

thf(c76_decl,type,
    c76: $i ).

thf(c78_decl,type,
    c78: $i ).

thf(f15_decl,type,
    f15: $i > $i > $i ).

thf(f17_decl,type,
    f17: $i > $i > $i ).

thf(c70_decl,type,
    c70: $i ).

thf(c71_decl,type,
    c71: $i ).

thf(f29_decl,type,
    f29: $i > $i > $i ).

thf(c73_decl,type,
    c73: $i ).

thf(f31_decl,type,
    f31: $i > $i > $i ).

thf(f33_decl,type,
    f33: $i > $i > $i ).

thf(c74_decl,type,
    c74: $i ).

thf(f8_decl,type,
    f8: $i > $i > $i ).

thf(c65_decl,type,
    c65: $i ).

thf(f11_decl,type,
    f11: $i > $i > $i ).

thf(f13_decl,type,
    f13: $i > $i > $i ).

thf(c66_decl,type,
    c66: $i ).

thf(c67_decl,type,
    c67: $i ).

thf(c80_decl,type,
    c80: $i ).

thf(f5_decl,type,
    f5: $i > $i > $i ).

thf(c68_decl,type,
    c68: $i ).

thf(p61_decl,type,
    p61: $i > $i > $o ).

thf(f45_decl,type,
    f45: $i > $i > $i ).

thf(f56_decl,type,
    f56: $i > $i > $i ).

thf(f36_decl,type,
    f36: $i > $i > $i ).

thf(f40_decl,type,
    f40: $i > $i > $i ).

thf(f43_decl,type,
    f43: $i > $i > $i ).

thf(f38_decl,type,
    f38: $i > $i > $i ).

thf(f42_decl,type,
    f42: $i > $i > $i ).

thf(f48_decl,type,
    f48: $i > $i > $i ).

thf(f51_decl,type,
    f51: $i > $i > $i ).

thf(f54_decl,type,
    f54: $i > $i > $i ).

thf(f58_decl,type,
    f58: $i > $i > $i ).

thf(c86_decl,type,
    c86: $i ).

thf(c88_decl,type,
    c88: $i ).

thf(c89_decl,type,
    c89: $i ).

thf(c90_decl,type,
    c90: $i ).

thf(c87_decl,type,
    c87: $i ).

thf(c81_decl,type,
    c81: $i ).

thf(c82_decl,type,
    c82: $i ).

thf(c83_decl,type,
    c83: $i ).

thf(c84_decl,type,
    c84: $i ).

thf(c85_decl,type,
    c85: $i ).

thf(1,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).

thf(138,plain,
    ! [A: $i] : ( A @ ( A @ p10 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(65,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p32 ) )
      | ~ ( A @ ( C @ p32 ) )
      | ( B @ ( A @ p32 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_65) ).

thf(150,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p32 ) )
      | ~ ( A @ ( C @ p32 ) )
      | ( B @ ( A @ p32 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(27,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_27) ).

thf(170,plain,
    ! [A: $i] : ( A @ ( A @ p23 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(112,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( c85 @ f36 ) @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( A @ ( c84 @ f38 ) @ ( A @ f43 ) @ p19 ) )
      | ~ ( c72 @ ( C @ ( B @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( C @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_112) ).

thf(115,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( c85 @ f36 ) @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( A @ ( c84 @ f38 ) @ ( A @ f43 ) @ p19 ) )
      | ~ ( c72 @ ( C @ ( B @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( C @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(79,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p14 ) )
      | ~ ( A @ ( C @ p14 ) )
      | ( B @ ( A @ p14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_79) ).

thf(217,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p14 ) )
      | ~ ( A @ ( C @ p14 ) )
      | ( B @ ( A @ p14 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(56,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p47 ) )
      | ~ ( A @ ( C @ p47 ) )
      | ( B @ ( A @ p47 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_56) ).

thf(120,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p47 ) )
      | ~ ( A @ ( C @ p47 ) )
      | ( B @ ( A @ p47 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(104,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p52 ) )
      | ~ ( D @ ( B @ p35 ) )
      | ( D @ ( C @ f54 ) @ ( B @ ( A @ f54 ) @ p53 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p53_104) ).

thf(202,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p52 ) )
      | ~ ( D @ ( B @ p35 ) )
      | ( D @ ( C @ f54 ) @ ( B @ ( A @ f54 ) @ p53 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(85,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p12 ) )
      | ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p9 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_85) ).

thf(142,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p12 ) )
      | ( D @ ( C @ f13 ) @ ( B @ ( A @ f13 ) @ p9 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(53,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p52 ) )
      | ~ ( A @ ( C @ p52 ) )
      | ( B @ ( A @ p52 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p52_53) ).

thf(153,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p52 ) )
      | ~ ( A @ ( C @ p52 ) )
      | ( B @ ( A @ p52 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(49,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p6 ) )
      | ~ ( A @ ( C @ p6 ) )
      | ( B @ ( A @ p6 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_49) ).

thf(174,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p6 ) )
      | ~ ( A @ ( C @ p6 ) )
      | ( B @ ( A @ p6 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(108,negated_conjecture,
    ! [A: $i] :
      ( ~ ( c67 @ ( c63 @ ( c90 @ ( c89 @ f51 ) @ ( c88 @ f48 ) @ f45 ) @ ( c87 @ f58 ) @ f56 ) @ ( A @ ( c86 @ f54 ) @ p61 ) )
      | ( c69 @ ( c90 @ ( c89 @ f51 ) @ ( c88 @ f48 ) @ f45 ) @ ( A @ ( c86 @ f54 ) @ p61 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p61_108) ).

thf(185,plain,
    ! [A: $i] :
      ( ~ ( c67 @ ( c63 @ ( c90 @ ( c89 @ f51 ) @ ( c88 @ f48 ) @ f45 ) @ ( c87 @ f58 ) @ f56 ) @ ( A @ ( c86 @ f54 ) @ p61 ) )
      | ( c69 @ ( c90 @ ( c89 @ f51 ) @ ( c88 @ f48 ) @ f45 ) @ ( A @ ( c86 @ f54 ) @ p61 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(66,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p30 ) )
      | ~ ( A @ ( C @ p30 ) )
      | ( B @ ( A @ p30 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_66) ).

thf(184,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p30 ) )
      | ~ ( A @ ( C @ p30 ) )
      | ( B @ ( A @ p30 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(52,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p53 ) )
      | ~ ( A @ ( C @ p53 ) )
      | ( B @ ( A @ p53 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p53_52) ).

thf(125,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p53 ) )
      | ~ ( A @ ( C @ p53 ) )
      | ( B @ ( A @ p53 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(31,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p19 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_31) ).

thf(196,plain,
    ! [A: $i] : ( A @ ( A @ p19 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(13,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p44 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p44_13) ).

thf(157,plain,
    ! [A: $i] : ( A @ ( A @ p44 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(48,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p7 ) )
      | ~ ( A @ ( C @ p7 ) )
      | ( B @ ( A @ p7 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_48) ).

thf(189,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p7 ) )
      | ~ ( A @ ( C @ p7 ) )
      | ( B @ ( A @ p7 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(9,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p50 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p50_9) ).

thf(152,plain,
    ! [A: $i] : ( A @ ( A @ p50 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(4,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).

thf(216,plain,
    ! [A: $i] : ( A @ ( A @ p6 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(17,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p37 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_17) ).

thf(164,plain,
    ! [A: $i] : ( A @ ( A @ p37 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(7,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p53 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p53_7) ).

thf(179,plain,
    ! [A: $i] : ( A @ ( A @ p53 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(36,negated_conjecture,
    c77 @ ( c79 @ p23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_36) ).

thf(211,plain,
    c77 @ ( c79 @ p23 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(42,negated_conjecture,
    c78 @ ( c76 @ f21 ) @ ( c79 @ ( c75 @ f25 ) @ p60 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p60_42) ).

thf(121,plain,
    c78 @ ( c76 @ f21 ) @ ( c79 @ ( c75 @ f25 ) @ p60 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(28,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p22 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_28) ).

thf(147,plain,
    ! [A: $i] : ( A @ ( A @ p22 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(68,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p28 ) )
      | ~ ( A @ ( C @ p28 ) )
      | ( B @ ( A @ p28 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_68) ).

thf(221,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p28 ) )
      | ~ ( A @ ( C @ p28 ) )
      | ( B @ ( A @ p28 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(78,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p16 ) )
      | ~ ( A @ ( C @ p16 ) )
      | ( B @ ( A @ p16 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_78) ).

thf(132,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p16 ) )
      | ~ ( A @ ( C @ p16 ) )
      | ( B @ ( A @ p16 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(29,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p20 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_29) ).

thf(133,plain,
    ! [A: $i] : ( A @ ( A @ p20 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(69,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p27 ) )
      | ~ ( A @ ( C @ p27 ) )
      | ( B @ ( A @ p27 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_69) ).

thf(116,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p27 ) )
      | ~ ( A @ ( C @ p27 ) )
      | ( B @ ( A @ p27 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(23,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p28 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_23) ).

thf(206,plain,
    ! [A: $i] : ( A @ ( A @ p28 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(101,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p6 ) )
      | ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_101) ).

thf(117,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p6 ) )
      | ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(87,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p55 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f56 ) @ ( B @ ( A @ f56 ) @ p10 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_87) ).

thf(201,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p55 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f56 ) @ ( B @ ( A @ f56 ) @ p10 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(15,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_15) ).

thf(220,plain,
    ! [A: $i] : ( A @ ( A @ p4 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(105,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p57 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f58 ) @ ( B @ ( A @ f58 ) @ p55 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p55_105) ).

thf(160,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p57 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f58 ) @ ( B @ ( A @ f58 ) @ p55 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(95,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p30 ) )
      | ~ ( D @ ( B @ p19 ) )
      | ( D @ ( C @ f31 ) @ ( B @ ( A @ f31 ) @ p27 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_95) ).

thf(192,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p30 ) )
      | ~ ( D @ ( B @ p19 ) )
      | ( D @ ( C @ f31 ) @ ( B @ ( A @ f31 ) @ p27 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(89,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p35 ) )
      | ~ ( C @ ( A @ p34 ) )
      | ( D @ ( C @ f36 ) @ ( B @ ( A @ f36 ) @ p19 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_89) ).

thf(137,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p35 ) )
      | ~ ( C @ ( A @ p34 ) )
      | ( D @ ( C @ f36 ) @ ( B @ ( A @ f36 ) @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(32,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p18 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_32) ).

thf(165,plain,
    ! [A: $i] : ( A @ ( A @ p18 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(11,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p47 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_11) ).

thf(197,plain,
    ! [A: $i] : ( A @ ( A @ p47 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(100,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p2 ) )
      | ( D @ ( C @ f5 ) @ ( B @ ( A @ f5 ) @ p4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_100) ).

thf(224,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p2 ) )
      | ( D @ ( C @ f5 ) @ ( B @ ( A @ f5 ) @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(96,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p27 ) )
      | ~ ( C @ ( A @ p26 ) )
      | ( D @ ( C @ f29 ) @ ( B @ ( A @ f29 ) @ p28 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_96) ).

thf(156,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p27 ) )
      | ~ ( C @ ( A @ p26 ) )
      | ( D @ ( C @ f29 ) @ ( B @ ( A @ f29 ) @ p28 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(35,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_35) ).

thf(188,plain,
    ! [A: $i] : ( A @ ( A @ p12 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(59,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p41 ) )
      | ~ ( A @ ( C @ p41 ) )
      | ( B @ ( A @ p41 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p41_59) ).

thf(169,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p41 ) )
      | ~ ( A @ ( C @ p41 ) )
      | ( B @ ( A @ p41 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(60,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p4 ) )
      | ~ ( A @ ( C @ p4 ) )
      | ( B @ ( A @ p4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_60) ).

thf(141,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p4 ) )
      | ~ ( A @ ( C @ p4 ) )
      | ( B @ ( A @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(50,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p57 ) )
      | ~ ( A @ ( C @ p57 ) )
      | ( B @ ( A @ p57 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_50) ).

thf(193,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p57 ) )
      | ~ ( A @ ( C @ p57 ) )
      | ( B @ ( A @ p57 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(30,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_30) ).

thf(212,plain,
    ! [A: $i] : ( A @ ( A @ p2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(25,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p26 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_25) ).

thf(124,plain,
    ! [A: $i] : ( A @ ( A @ p26 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(90,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p39 ) )
      | ~ ( D @ ( B @ p19 ) )
      | ( D @ ( C @ f40 ) @ ( B @ ( A @ f40 ) @ p19 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_90) ).

thf(225,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p39 ) )
      | ~ ( D @ ( B @ p19 ) )
      | ( D @ ( C @ f40 ) @ ( B @ ( A @ f40 ) @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(54,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p50 ) )
      | ~ ( A @ ( C @ p50 ) )
      | ( B @ ( A @ p50 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p50_54) ).

thf(173,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p50 ) )
      | ~ ( A @ ( C @ p50 ) )
      | ( B @ ( A @ p50 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(46,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p10 ) )
      | ~ ( A @ ( C @ p10 ) )
      | ( B @ ( A @ p10 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_46) ).

thf(129,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p10 ) )
      | ~ ( A @ ( C @ p10 ) )
      | ( B @ ( A @ p10 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(106,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p9 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p7 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_106) ).

thf(134,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p9 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p7 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(20,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p32 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_20) ).

thf(128,plain,
    ! [A: $i] : ( A @ ( A @ p32 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(55,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p49 ) )
      | ~ ( A @ ( C @ p49 ) )
      | ( B @ ( A @ p49 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p49_55) ).

thf(205,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p49 ) )
      | ~ ( A @ ( C @ p49 ) )
      | ( B @ ( A @ p49 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(34,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_34) ).

thf(166,plain,
    ! [A: $i] : ( A @ ( A @ p14 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(38,negated_conjecture,
    c69 @ ( c64 @ p59 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_38) ).

thf(148,plain,
    c69 @ ( c64 @ p59 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(2,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).

thf(161,plain,
    ! [A: $i] : ( A @ ( A @ p9 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(39,negated_conjecture,
    c63 @ ( c64 @ p59 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_39) ).

thf(180,plain,
    c63 @ ( c64 @ p59 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(92,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p19 ) )
      | ~ ( C @ ( A @ p18 ) )
      | ( D @ ( C @ f21 ) @ ( B @ ( A @ f21 ) @ p20 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_92) ).

thf(149,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p19 ) )
      | ~ ( C @ ( A @ p18 ) )
      | ( D @ ( C @ f21 ) @ ( B @ ( A @ f21 ) @ p20 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(113,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( c83 @ f36 ) @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( A @ ( c82 @ f38 ) @ ( A @ f43 ) @ p19 ) )
      | ~ ( c69 @ ( C @ ( B @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( C @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_113) ).

thf(176,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( c83 @ f36 ) @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( A @ ( c82 @ f38 ) @ ( A @ f43 ) @ p19 ) )
      | ~ ( c69 @ ( C @ ( B @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( C @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(18,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p35 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35_18) ).

thf(191,plain,
    ! [A: $i] : ( A @ ( A @ p35 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(88,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p16 ) )
      | ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_88) ).

thf(118,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p16 ) )
      | ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p14 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(26,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p24 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_26) ).

thf(204,plain,
    ! [A: $i] : ( A @ ( A @ p24 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(70,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p26 ) )
      | ~ ( A @ ( C @ p26 ) )
      | ( B @ ( A @ p26 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_70) ).

thf(144,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p26 ) )
      | ~ ( A @ ( C @ p26 ) )
      | ( B @ ( A @ p26 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(98,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p32 ) )
      | ~ ( D @ ( B @ p23 ) )
      | ( D @ ( C @ f33 ) @ ( B @ ( A @ f33 ) @ p30 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_98) ).

thf(181,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p32 ) )
      | ~ ( D @ ( B @ p23 ) )
      | ( D @ ( C @ f33 ) @ ( B @ ( A @ f33 ) @ p30 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(73,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p22 ) )
      | ~ ( A @ ( C @ p22 ) )
      | ( B @ ( A @ p22 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_73) ).

thf(159,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p22 ) )
      | ~ ( A @ ( C @ p22 ) )
      | ( B @ ( A @ p22 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(80,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p12 ) )
      | ~ ( A @ ( C @ p12 ) )
      | ( B @ ( A @ p12 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_80) ).

thf(187,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p12 ) )
      | ~ ( A @ ( C @ p12 ) )
      | ( B @ ( A @ p12 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(12,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p46 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p46_12) ).

thf(172,plain,
    ! [A: $i] : ( A @ ( A @ p46 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(47,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p9 ) )
      | ~ ( A @ ( C @ p9 ) )
      | ( B @ ( A @ p9 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_47) ).

thf(219,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p9 ) )
      | ~ ( A @ ( C @ p9 ) )
      | ( B @ ( A @ p9 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(75,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_75) ).

thf(208,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(6,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p55 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p55_6) ).

thf(140,plain,
    ! [A: $i] : ( A @ ( A @ p55 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(51,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p55 ) )
      | ~ ( A @ ( C @ p55 ) )
      | ( B @ ( A @ p55 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p55_51) ).

thf(213,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p55 ) )
      | ~ ( A @ ( C @ p55 ) )
      | ( B @ ( A @ p55 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(77,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p18 ) )
      | ~ ( A @ ( C @ p18 ) )
      | ( B @ ( A @ p18 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_77) ).

thf(155,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p18 ) )
      | ~ ( A @ ( C @ p18 ) )
      | ( B @ ( A @ p18 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(72,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p23 ) )
      | ~ ( A @ ( C @ p23 ) )
      | ( B @ ( A @ p23 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_72) ).

thf(198,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p23 ) )
      | ~ ( A @ ( C @ p23 ) )
      | ( B @ ( A @ p23 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(93,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p37 ) )
      | ~ ( D @ ( B @ p35 ) )
      | ( D @ ( C @ f38 ) @ ( B @ ( A @ f38 ) @ p23 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_93) ).

thf(130,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p37 ) )
      | ~ ( D @ ( B @ p35 ) )
      | ( D @ ( C @ f38 ) @ ( B @ ( A @ f38 ) @ p23 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(83,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( D @ p28 ) )
      | ~ ( C @ ( D @ p59 ) )
      | ~ ( B @ ( C @ p3 ) )
      | ( B @ ( A @ p59 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_83) ).

thf(223,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( D @ p28 ) )
      | ~ ( C @ ( D @ p59 ) )
      | ~ ( B @ ( C @ p3 ) )
      | ( B @ ( A @ p59 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(84,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p20 ) )
      | ~ ( D @ ( C @ p60 ) )
      | ~ ( A @ ( C @ p24 ) )
      | ( B @ ( A @ p60 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p60_84) ).

thf(135,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p20 ) )
      | ~ ( D @ ( C @ p60 ) )
      | ~ ( A @ ( C @ p24 ) )
      | ( B @ ( A @ p60 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(111,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c72 @ ( C @ ( B @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( c69 @ ( A @ ( c85 @ f36 ) @ ( A @ ( c84 @ f38 ) @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( C @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_111) ).

thf(226,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c72 @ ( C @ ( B @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( c69 @ ( A @ ( c85 @ f36 ) @ ( A @ ( c84 @ f38 ) @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( C @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(22,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).

thf(167,plain,
    ! [A: $i] : ( A @ ( A @ p3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(45,negated_conjecture,
    ~ ( c80 @ ( c67 @ ( c63 @ ( c66 @ f13 ) @ f11 ) @ ( c65 @ f8 ) @ p4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_45) ).

thf(162,plain,
    ~ ( c80 @ ( c67 @ ( c63 @ ( c66 @ f13 ) @ f11 ) @ ( c65 @ f8 ) @ p4 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(58,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p44 ) )
      | ~ ( A @ ( C @ p44 ) )
      | ( B @ ( A @ p44 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p44_58) ).

thf(209,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p44 ) )
      | ~ ( A @ ( C @ p44 ) )
      | ( B @ ( A @ p44 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(37,negated_conjecture,
    c72 @ ( c64 @ p59 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_37) ).

thf(123,plain,
    c72 @ ( c64 @ p59 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(67,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p3 ) )
      | ~ ( A @ ( C @ p3 ) )
      | ( B @ ( A @ p3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_67) ).

thf(194,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p3 ) )
      | ~ ( A @ ( C @ p3 ) )
      | ( B @ ( A @ p3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(21,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p30 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_21) ).

thf(145,plain,
    ! [A: $i] : ( A @ ( A @ p30 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(43,negated_conjecture,
    c72 @ ( c69 @ ( c71 @ ( c70 @ f17 ) @ f15 ) @ p3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_43) ).

thf(199,plain,
    c72 @ ( c69 @ ( c71 @ ( c70 @ f17 ) @ f15 ) @ p3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(110,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c69 @ ( C @ ( B @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( c72 @ ( A @ ( c83 @ f36 ) @ ( A @ ( c82 @ f38 ) @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( C @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_110) ).

thf(127,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c69 @ ( C @ ( B @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( c72 @ ( A @ ( c83 @ f36 ) @ ( A @ ( c82 @ f38 ) @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ( C @ ( A @ ( c81 @ f42 ) @ f40 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(81,negated_conjecture,
    c69 @ ( c68 @ f5 ) @ ( c67 @ ( c63 @ ( c66 @ f13 ) @ f11 ) @ ( c65 @ f8 ) @ p4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_81) ).

thf(177,plain,
    c69 @ ( c68 @ f5 ) @ ( c67 @ ( c63 @ ( c66 @ f13 ) @ f11 ) @ ( c65 @ f8 ) @ p4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(103,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p50 ) )
      | ~ ( C @ ( A @ p49 ) )
      | ( D @ ( C @ f51 ) @ ( B @ ( A @ f51 ) @ p47 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_103) ).

thf(182,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p50 ) )
      | ~ ( C @ ( A @ p49 ) )
      | ( D @ ( C @ f51 ) @ ( B @ ( A @ f51 ) @ p47 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(109,negated_conjecture,
    ! [A: $i] :
      ( ~ ( c69 @ ( c90 @ ( c89 @ f51 ) @ ( c88 @ f48 ) @ f45 ) @ ( A @ ( c86 @ f54 ) @ p61 ) )
      | ( c67 @ ( c63 @ ( c90 @ ( c89 @ f51 ) @ ( c88 @ f48 ) @ f45 ) @ ( c87 @ f58 ) @ f56 ) @ ( A @ ( c86 @ f54 ) @ p61 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p61_109) ).

thf(154,plain,
    ! [A: $i] :
      ( ~ ( c69 @ ( c90 @ ( c89 @ f51 ) @ ( c88 @ f48 ) @ f45 ) @ ( A @ ( c86 @ f54 ) @ p61 ) )
      | ( c67 @ ( c63 @ ( c90 @ ( c89 @ f51 ) @ ( c88 @ f48 ) @ f45 ) @ ( c87 @ f58 ) @ f56 ) @ ( A @ ( c86 @ f54 ) @ p61 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(86,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p44 ) )
      | ~ ( D @ ( B @ p3 ) )
      | ( D @ ( C @ f45 ) @ ( B @ ( A @ f45 ) @ p10 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_86) ).

thf(175,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p44 ) )
      | ~ ( D @ ( B @ p3 ) )
      | ( D @ ( C @ f45 ) @ ( B @ ( A @ f45 ) @ p10 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(102,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p47 ) )
      | ~ ( C @ ( A @ p46 ) )
      | ( D @ ( C @ f48 ) @ ( B @ ( A @ f48 ) @ p44 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p44_102) ).

thf(143,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p47 ) )
      | ~ ( C @ ( A @ p46 ) )
      | ( D @ ( C @ f48 ) @ ( B @ ( A @ f48 ) @ p44 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(40,negated_conjecture,
    c69 @ ( c62 @ p59 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_40) ).

thf(203,plain,
    c69 @ ( c62 @ p59 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(94,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p23 ) )
      | ~ ( C @ ( A @ p22 ) )
      | ( D @ ( C @ f25 ) @ ( B @ ( A @ f25 ) @ p24 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_94) ).

thf(218,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p23 ) )
      | ~ ( C @ ( A @ p22 ) )
      | ( D @ ( C @ f25 ) @ ( B @ ( A @ f25 ) @ p24 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(41,negated_conjecture,
    c63 @ ( c62 @ p59 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_41) ).

thf(158,plain,
    c63 @ ( c62 @ p59 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(3,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p7 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).

thf(186,plain,
    ! [A: $i] : ( A @ ( A @ p7 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(5,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p57 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_5) ).

thf(114,plain,
    ! [A: $i] : ( A @ ( A @ p57 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(71,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p24 ) )
      | ~ ( A @ ( C @ p24 ) )
      | ( B @ ( A @ p24 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_71) ).

thf(171,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p24 ) )
      | ~ ( A @ ( C @ p24 ) )
      | ( B @ ( A @ p24 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(74,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p20 ) )
      | ~ ( A @ ( C @ p20 ) )
      | ( B @ ( A @ p20 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_74) ).

thf(139,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p20 ) )
      | ~ ( A @ ( C @ p20 ) )
      | ( B @ ( A @ p20 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(10,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p49 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p49_10) ).

thf(119,plain,
    ! [A: $i] : ( A @ ( A @ p49 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(8,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p52 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p52_8) ).

thf(207,plain,
    ! [A: $i] : ( A @ ( A @ p52 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(19,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p34 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).

thf(214,plain,
    ! [A: $i] : ( A @ ( A @ p34 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(97,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p14 ) )
      | ( D @ ( C @ f15 ) @ ( B @ ( A @ f15 ) @ p3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_97) ).

thf(151,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p14 ) )
      | ( D @ ( C @ f15 ) @ ( B @ ( A @ f15 ) @ p3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(44,negated_conjecture,
    c72 @ ( c78 @ ( c77 @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_44) ).

thf(168,plain,
    c72 @ ( c78 @ ( c77 @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(33,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p16 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_33) ).

thf(146,plain,
    ! [A: $i] : ( A @ ( A @ p16 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(63,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p35 ) )
      | ~ ( A @ ( C @ p35 ) )
      | ( B @ ( A @ p35 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35_63) ).

thf(190,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p35 ) )
      | ~ ( A @ ( C @ p35 ) )
      | ( B @ ( A @ p35 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(91,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p35 ) )
      | ~ ( D @ ( B @ p23 ) )
      | ( D @ ( C @ f43 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_91) ).

thf(183,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p35 ) )
      | ~ ( D @ ( B @ p23 ) )
      | ( D @ ( C @ f43 ) @ ( B @ ( A @ f43 ) @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(82,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p10 ) )
      | ~ ( D @ ( C @ p61 ) )
      | ~ ( A @ ( C @ p53 ) )
      | ( B @ ( A @ p61 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p61_82) ).

thf(210,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p10 ) )
      | ~ ( D @ ( C @ p61 ) )
      | ~ ( A @ ( C @ p53 ) )
      | ( B @ ( A @ p61 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(16,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p39 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_16) ).

thf(195,plain,
    ! [A: $i] : ( A @ ( A @ p39 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(14,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p41 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p41_14) ).

thf(126,plain,
    ! [A: $i] : ( A @ ( A @ p41 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(61,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p39 ) )
      | ~ ( A @ ( C @ p39 ) )
      | ( B @ ( A @ p39 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_61) ).

thf(136,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p39 ) )
      | ~ ( A @ ( C @ p39 ) )
      | ( B @ ( A @ p39 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(57,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p46 ) )
      | ~ ( A @ ( C @ p46 ) )
      | ( B @ ( A @ p46 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p46_57) ).

thf(131,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p46 ) )
      | ~ ( A @ ( C @ p46 ) )
      | ( B @ ( A @ p46 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(76,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p19 ) )
      | ~ ( A @ ( C @ p19 ) )
      | ( B @ ( A @ p19 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_76) ).

thf(178,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p19 ) )
      | ~ ( A @ ( C @ p19 ) )
      | ( B @ ( A @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(64,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p34 ) )
      | ~ ( A @ ( C @ p34 ) )
      | ( B @ ( A @ p34 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_64) ).

thf(163,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p34 ) )
      | ~ ( A @ ( C @ p34 ) )
      | ( B @ ( A @ p34 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(99,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p41 ) )
      | ~ ( D @ ( B @ p35 ) )
      | ( D @ ( C @ f42 ) @ ( B @ ( A @ f42 ) @ p39 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_99) ).

thf(200,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p41 ) )
      | ~ ( D @ ( B @ p35 ) )
      | ( D @ ( C @ f42 ) @ ( B @ ( A @ f42 ) @ p39 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(24,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p27 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_24) ).

thf(122,plain,
    ! [A: $i] : ( A @ ( A @ p27 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(107,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c72 @ ( D @ ( A @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ~ ( c72 @ ( B @ ( C @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ~ ( B @ ( c76 @ f21 ) @ ( A @ ( c75 @ f25 ) @ p60 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p60_107) ).

thf(215,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c72 @ ( D @ ( A @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ~ ( c72 @ ( B @ ( C @ ( c74 @ f33 ) @ f31 ) @ ( c73 @ f29 ) @ p59 ) )
      | ~ ( B @ ( c76 @ f21 ) @ ( A @ ( c75 @ f25 ) @ p60 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(62,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p37 ) )
      | ~ ( A @ ( C @ p37 ) )
      | ( B @ ( A @ p37 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_62) ).

thf(222,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p37 ) )
      | ~ ( A @ ( C @ p37 ) )
      | ( B @ ( A @ p37 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(324,plain,
    $false,
    inference(e,[status(thm)],[138,150,170,115,217,120,202,142,153,174,185,184,125,196,157,189,152,216,164,179,211,121,147,221,132,133,116,206,117,201,220,160,192,137,165,197,224,156,188,169,141,193,212,124,225,173,129,134,128,205,166,148,161,180,149,176,191,118,204,144,181,159,187,172,219,208,140,213,155,198,130,223,135,226,167,162,209,123,194,145,199,127,177,182,154,175,143,203,218,158,186,114,171,139,119,207,214,151,168,146,190,183,210,195,126,136,131,178,163,200,122,215,222]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.15/0.41  % Computer : n020.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.41  % WCLimit  : 300
% 0.15/0.41  % DateTime : Sat Sep 26 18:22:34 UTC 2026
% 0.15/0.41  % CPUTime  : 
% 0.15/0.41  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.87/1.07  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.24/1.40  % [INFO] 	 Parsing done (308ms). 
% 1.51/1.41  % [INFO] 	 Running in sequential loop mode. 
% 2.23/1.97  % [INFO] 	 eprover registered as external prover. 
% 2.23/1.99  % [INFO] 	 Scanning for conjecture ... 
% 2.80/2.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 3.03/2.38  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 3.03/2.38  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.03/2.39  % [INFO] 	 Type checking passed. 
% 3.03/2.39  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 6.36/3.53  % External prover 'e' found a proof!
% 6.36/3.53  % [INFO] 	 Killing All external provers ... 
% 6.36/3.53  % Time passed: 2913ms (effective reasoning time: 2110ms)
% 6.36/3.53  % Axioms used in derivation (0): 
% 6.36/3.53  % No. of inferences in proof: 227
% 6.36/3.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2913 ms resp. 2110 ms w/o parsing
% 6.71/3.64  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.71/3.64  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------