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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SYN715-1 : 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 : n002.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 8.78s 8.46s
% Output   : Refutation 9.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  106
% Syntax   : Number of formulae    :  213 (  73 unt;   0 typ;   0 def)
%            Number of atoms       :  481 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives : 2094 ( 270   ~; 268   |;   0   &;1556   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   76 (  75 usr;  14 con; 0-2 aty)
%            Number of variables   :  586 (   0   ^; 586   !;   0   ?; 586   :)

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

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

thf(p58_decl,type,
    p58: $i > $i > $o ).

thf(p56_decl,type,
    p56: $i > $i > $o ).

thf(p54_decl,type,
    p54: $i > $i > $o ).

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

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

thf(p48_decl,type,
    p48: $i > $i > $o ).

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

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

thf(p42_decl,type,
    p42: $i > $i > $o ).

thf(p40_decl,type,
    p40: $i > $i > $o ).

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

thf(p38_decl,type,
    p38: $i > $i > $o ).

thf(p36_decl,type,
    p36: $i > $i > $o ).

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

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

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

thf(p29_decl,type,
    p29: $i > $i > $o ).

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

thf(p25_decl,type,
    p25: $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(p18_decl,type,
    p18: $i > $i > $o ).

thf(p17_decl,type,
    p17: $i > $i > $o ).

thf(p15_decl,type,
    p15: $i > $i > $o ).

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

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

thf(p62_decl,type,
    p62: $i > $i > $o ).

thf(p63_decl,type,
    p63: $i > $i > $o ).

thf(f24_decl,type,
    f24: $i > $i > $i ).

thf(f26_decl,type,
    f26: $i > $i > $i ).

thf(f30_decl,type,
    f30: $i > $i > $i ).

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

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

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

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

thf(f28_decl,type,
    f28: $i > $i > $i ).

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

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

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

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

thf(f19_decl,type,
    f19: $i > $i > $i ).

thf(f53_decl,type,
    f53: $i > $i > $i ).

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

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

thf(f16_decl,type,
    f16: $i > $i > $i ).

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

thf(f35_decl,type,
    f35: $i > $i > $i ).

thf(f37_decl,type,
    f37: $i > $i > $i ).

thf(f39_decl,type,
    f39: $i > $i > $i ).

thf(f41_decl,type,
    f41: $i > $i > $i ).

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

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

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

thf(f47_decl,type,
    f47: $i > $i > $i ).

thf(f49_decl,type,
    f49: $i > $i > $i ).

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

thf(f55_decl,type,
    f55: $i > $i > $i ).

thf(f57_decl,type,
    f57: $i > $i > $i ).

thf(f59_decl,type,
    f59: $i > $i > $i ).

thf(f61_decl,type,
    f61: $i > $i > $i ).

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

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

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

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

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

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

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

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

thf(28,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).

thf(138,plain,
    ! [A: $i] : ( A @ ( A @ p2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(58,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_58) ).

thf(197,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p23 ) )
      | ~ ( A @ ( C @ p23 ) )
      | ( B @ ( A @ p23 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(105,negated_conjecture,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ p62 ) )
      | ( F @ ( C @ f28 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c76 @ f61 ) @ f59 ) @ f57 ) @ f55 ) @ f53 ) @ f28 ) @ p7 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_105) ).

thf(150,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ p62 ) )
      | ( F @ ( C @ f28 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c76 @ f61 ) @ f59 ) @ f57 ) @ f55 ) @ f53 ) @ f28 ) @ p7 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(4,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p60 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p60_4) ).

thf(203,plain,
    ! [A: $i] : ( A @ ( A @ p60 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(98,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( A @ p62 ) )
      | ( D @ ( C @ ( B @ ( A @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( c64 @ f5 ) @ p62 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_98) ).

thf(170,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( A @ p62 ) )
      | ( D @ ( C @ ( B @ ( A @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( c64 @ f5 ) @ p62 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(37,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p60 ) )
      | ~ ( A @ ( C @ p60 ) )
      | ( B @ ( A @ p60 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p60_37) ).

thf(115,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p60 ) )
      | ~ ( A @ ( C @ p60 ) )
      | ( B @ ( A @ p60 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(46,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_46) ).

thf(120,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p44 ) )
      | ~ ( A @ ( C @ p44 ) )
      | ( B @ ( A @ p44 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

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

thf(202,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] :
      ( ~ ( B @ ( D @ ( C @ ( A @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( c64 @ f5 ) @ p62 ) )
      | ( B @ ( A @ p62 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_97) ).

thf(142,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ ( C @ ( A @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( c64 @ f5 ) @ p62 ) )
      | ( B @ ( A @ p62 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(64,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p15 ) )
      | ~ ( A @ ( C @ p15 ) )
      | ( B @ ( A @ p15 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_64) ).

thf(153,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p15 ) )
      | ~ ( A @ ( C @ p15 ) )
      | ( B @ ( A @ p15 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

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

thf(174,plain,
    ! [A: $i] : ( A @ ( A @ p7 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(11,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p48 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p48_11) ).

thf(185,plain,
    ! [A: $i] : ( A @ ( A @ p48 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(31,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p15 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_31) ).

thf(184,plain,
    ! [A: $i] : ( A @ ( A @ p15 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(88,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p46 ) )
      | ~ ( D @ ( B @ p15 ) )
      | ( D @ ( C @ f47 ) @ ( B @ ( A @ f47 ) @ p44 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p44_88) ).

thf(110,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p46 ) )
      | ~ ( D @ ( B @ p15 ) )
      | ( D @ ( C @ f47 ) @ ( B @ ( A @ f47 ) @ p44 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(106,negated_conjecture,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ ( C @ ( B @ ( A @ ( c76 @ f61 ) @ f59 ) @ f57 ) @ f55 ) @ f53 ) @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c75 @ f51 ) @ f49 ) @ f47 ) @ f45 ) @ f43 ) @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( c65 @ f13 ) @ f11 ) @ f8 ) @ p3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_106) ).

thf(125,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ ( C @ ( B @ ( A @ ( c76 @ f61 ) @ f59 ) @ f57 ) @ f55 ) @ f53 ) @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c75 @ f51 ) @ f49 ) @ f47 ) @ f45 ) @ f43 ) @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( c65 @ f13 ) @ f11 ) @ f8 ) @ p3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(75,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p42 ) )
      | ( D @ ( C @ f43 ) @ ( B @ ( A @ f43 ) @ p18 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_75) ).

thf(196,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p42 ) )
      | ( D @ ( C @ f43 ) @ ( B @ ( A @ f43 ) @ p18 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(22,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p29 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_22) ).

thf(157,plain,
    ! [A: $i] : ( A @ ( A @ p29 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(87,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p44 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f45 ) @ ( B @ ( A @ f45 ) @ p42 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p42_87) ).

thf(189,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p44 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f45 ) @ ( B @ ( A @ f45 ) @ p42 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(45,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_45) ).

thf(152,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p46 ) )
      | ~ ( A @ ( C @ p46 ) )
      | ( B @ ( A @ p46 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(49,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_49) ).

thf(164,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p4 ) )
      | ~ ( A @ ( C @ p4 ) )
      | ( B @ ( A @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(18,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p36 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36_18) ).

thf(179,plain,
    ! [A: $i] : ( A @ ( A @ p36 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(83,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p38 ) )
      | ~ ( D @ ( B @ p18 ) )
      | ( D @ ( C @ f39 ) @ ( B @ ( A @ f39 ) @ p36 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36_83) ).

thf(211,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p38 ) )
      | ~ ( D @ ( B @ p18 ) )
      | ( D @ ( C @ f39 ) @ ( B @ ( A @ f39 ) @ p36 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(93,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p58 ) )
      | ~ ( D @ ( B @ p18 ) )
      | ( D @ ( C @ f59 ) @ ( B @ ( A @ f59 ) @ p56 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_93) ).

thf(121,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p58 ) )
      | ~ ( D @ ( B @ p18 ) )
      | ( D @ ( C @ f59 ) @ ( B @ ( A @ f59 ) @ p56 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

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

thf(147,plain,
    ! [A: $i] : ( A @ ( A @ p44 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(60,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_60) ).

thf(132,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p20 ) )
      | ~ ( A @ ( C @ p20 ) )
      | ( B @ ( A @ p20 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(85,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p32 ) )
      | ( D @ ( C @ f33 ) @ ( B @ ( A @ f33 ) @ p4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_85) ).

thf(133,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p32 ) )
      | ( D @ ( C @ f33 ) @ ( B @ ( A @ f33 ) @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(25,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_25) ).

thf(116,plain,
    ! [A: $i] : ( A @ ( A @ p23 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(47,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p42 ) )
      | ~ ( A @ ( C @ p42 ) )
      | ( B @ ( A @ p42 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p42_47) ).

thf(206,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p42 ) )
      | ~ ( A @ ( C @ p42 ) )
      | ( B @ ( A @ p42 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(52,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_52) ).

thf(117,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p34 ) )
      | ~ ( A @ ( C @ p34 ) )
      | ( B @ ( A @ p34 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(51,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p36 ) )
      | ~ ( A @ ( C @ p36 ) )
      | ( B @ ( A @ p36 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36_51) ).

thf(201,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p36 ) )
      | ~ ( A @ ( C @ p36 ) )
      | ( B @ ( A @ p36 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(27,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p20 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_27) ).

thf(160,plain,
    ! [A: $i] : ( A @ ( A @ p20 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(26,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p22 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_26) ).

thf(192,plain,
    ! [A: $i] : ( A @ ( A @ p22 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(33,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_33) ).

thf(137,plain,
    ! [A: $i] : ( A @ ( A @ p12 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(86,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_86) ).

thf(165,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)],[86]) ).

thf(34,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_34) ).

thf(156,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p10 ) )
      | ~ ( A @ ( C @ p10 ) )
      | ( B @ ( A @ p10 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(99,negated_conjecture,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( F @ ( E @ ( D @ ( C @ ( A @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ p62 ) )
      | ( B @ ( A @ p62 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_99) ).

thf(188,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( F @ ( E @ ( D @ ( C @ ( A @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ p62 ) )
      | ( B @ ( A @ p62 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(39,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p58 ) )
      | ~ ( A @ ( C @ p58 ) )
      | ( B @ ( A @ p58 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p58_39) ).

thf(169,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p58 ) )
      | ~ ( A @ ( C @ p58 ) )
      | ( B @ ( A @ p58 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(65,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_65) ).

thf(141,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p14 ) )
      | ~ ( A @ ( C @ p14 ) )
      | ( B @ ( A @ p14 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(101,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( D @ ( C @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) )
      | ( D @ ( C @ ( B @ ( A @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p63_101) ).

thf(109,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( D @ ( C @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) )
      | ( D @ ( C @ ( B @ ( A @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(29,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p18 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_29) ).

thf(124,plain,
    ! [A: $i] : ( A @ ( A @ p18 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(55,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p29 ) )
      | ~ ( A @ ( C @ p29 ) )
      | ( B @ ( A @ p29 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_55) ).

thf(193,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p29 ) )
      | ~ ( A @ ( C @ p29 ) )
      | ( B @ ( A @ p29 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(100,negated_conjecture,
    c72 @ ( c71 @ ( c70 @ ( c69 @ ( c68 @ ( c67 @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( c65 @ f13 ) @ f11 ) @ f8 ) @ ( c64 @ f5 ) @ p62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_100) ).

thf(212,plain,
    c72 @ ( c71 @ ( c70 @ ( c69 @ ( c68 @ ( c67 @ ( c66 @ f21 ) @ f19 ) @ f16 ) @ ( c65 @ f13 ) @ f11 ) @ f8 ) @ ( c64 @ f5 ) @ p62 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(66,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_66) ).

thf(173,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p12 ) )
      | ~ ( A @ ( C @ p12 ) )
      | ( B @ ( A @ p12 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

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

thf(129,plain,
    ! [A: $i] : ( A @ ( A @ p10 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(102,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( D @ ( C @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) )
      | ( D @ ( C @ ( B @ ( A @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p63_102) ).

thf(134,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( D @ ( C @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) )
      | ( D @ ( C @ ( B @ ( A @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(89,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p48 ) )
      | ~ ( D @ ( B @ p18 ) )
      | ( D @ ( C @ f49 ) @ ( B @ ( A @ f49 ) @ p46 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p46_89) ).

thf(128,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p48 ) )
      | ~ ( D @ ( B @ p18 ) )
      | ( D @ ( C @ f49 ) @ ( B @ ( A @ f49 ) @ p46 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(94,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p60 ) )
      | ~ ( D @ ( B @ p4 ) )
      | ( D @ ( C @ f61 ) @ ( B @ ( A @ f61 ) @ p58 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p58_94) ).

thf(205,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p60 ) )
      | ~ ( D @ ( B @ p4 ) )
      | ( D @ ( C @ f61 ) @ ( B @ ( A @ f61 ) @ p58 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(81,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p34 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f35 ) @ ( B @ ( A @ f35 ) @ p32 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_81) ).

thf(166,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p34 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f35 ) @ ( B @ ( A @ f35 ) @ p32 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(41,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p54 ) )
      | ~ ( A @ ( C @ p54 ) )
      | ( B @ ( A @ p54 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p54_41) ).

thf(148,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p54 ) )
      | ~ ( A @ ( C @ p54 ) )
      | ( B @ ( A @ p54 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(71,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p27 ) )
      | ~ ( C @ ( A @ p18 ) )
      | ( D @ ( C @ f31 ) @ ( B @ ( A @ f31 ) @ p10 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_71) ).

thf(161,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p27 ) )
      | ~ ( C @ ( A @ p18 ) )
      | ( D @ ( C @ f31 ) @ ( B @ ( A @ f31 ) @ p10 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(95,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p9 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p6 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_95) ).

thf(180,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p9 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p6 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(73,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p52 ) )
      | ( D @ ( C @ f53 ) @ ( B @ ( A @ f53 ) @ p15 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_73) ).

thf(149,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p52 ) )
      | ( D @ ( C @ f53 ) @ ( B @ ( A @ f53 ) @ p15 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(35,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_35) ).

thf(176,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p9 ) )
      | ~ ( A @ ( C @ p9 ) )
      | ( B @ ( A @ p9 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(40,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p56 ) )
      | ~ ( A @ ( C @ p56 ) )
      | ( B @ ( A @ p56 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_40) ).

thf(191,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p56 ) )
      | ~ ( A @ ( C @ p56 ) )
      | ( B @ ( A @ p56 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(14,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p42 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p42_14) ).

thf(118,plain,
    ! [A: $i] : ( A @ ( A @ p42 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(79,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p15 ) )
      | ~ ( C @ ( A @ p14 ) )
      | ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_79) ).

thf(204,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p15 ) )
      | ~ ( C @ ( A @ p14 ) )
      | ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(53,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_53) ).

thf(144,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p32 ) )
      | ~ ( A @ ( C @ p32 ) )
      | ( B @ ( A @ p32 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(50,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p38 ) )
      | ~ ( A @ ( C @ p38 ) )
      | ( B @ ( A @ p38 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_50) ).

thf(181,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p38 ) )
      | ~ ( A @ ( C @ p38 ) )
      | ( B @ ( A @ p38 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(59,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_59) ).

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)],[59]) ).

thf(43,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_43) ).

thf(187,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p50 ) )
      | ~ ( A @ ( C @ p50 ) )
      | ( B @ ( A @ p50 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(91,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p54 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f55 ) @ ( B @ ( A @ f55 ) @ p52 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p52_91) ).

thf(172,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p54 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f55 ) @ ( B @ ( A @ f55 ) @ p52 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(42,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_42) ).

thf(113,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p52 ) )
      | ~ ( A @ ( C @ p52 ) )
      | ( B @ ( A @ p52 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(68,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ p23 ) )
      | ~ ( B @ ( D @ p7 ) )
      | ~ ( D @ ( C @ p63 ) )
      | ( B @ ( A @ p63 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p63_68) ).

thf(208,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ p23 ) )
      | ~ ( B @ ( D @ p7 ) )
      | ~ ( D @ ( C @ p63 ) )
      | ( B @ ( A @ p63 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(92,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p56 ) )
      | ~ ( D @ ( B @ p15 ) )
      | ( D @ ( C @ f57 ) @ ( B @ ( A @ f57 ) @ p54 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p54_92) ).

thf(140,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p56 ) )
      | ~ ( D @ ( B @ p15 ) )
      | ( D @ ( C @ f57 ) @ ( B @ ( A @ f57 ) @ p54 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(32,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_32) ).

thf(155,plain,
    ! [A: $i] : ( A @ ( A @ p14 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(82,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p36 ) )
      | ~ ( D @ ( B @ p15 ) )
      | ( D @ ( C @ f37 ) @ ( B @ ( A @ f37 ) @ p34 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_82) ).

thf(198,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p36 ) )
      | ~ ( D @ ( B @ p15 ) )
      | ( D @ ( C @ f37 ) @ ( B @ ( A @ f37 ) @ p34 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(69,negated_conjecture,
    c71 @ ( c70 @ ( c72 @ ( c69 @ f28 ) @ ( c72 @ ( c68 @ f31 ) @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p63_69) ).

thf(108,plain,
    c71 @ ( c70 @ ( c72 @ ( c69 @ f28 ) @ ( c72 @ ( c68 @ f31 ) @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(74,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p4 ) )
      | ~ ( C @ ( A @ p20 ) )
      | ( D @ ( C @ f21 ) @ ( B @ ( A @ f21 ) @ p17 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_74) ).

thf(130,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p4 ) )
      | ~ ( C @ ( A @ p20 ) )
      | ( D @ ( C @ f21 ) @ ( B @ ( A @ f21 ) @ p17 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(70,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_70) ).

thf(135,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)],[70]) ).

thf(76,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p25 ) )
      | ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p22 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_76) ).

thf(167,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p25 ) )
      | ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p22 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

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

thf(162,plain,
    ! [A: $i] : ( A @ ( A @ p46 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(62,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_62) ).

thf(209,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p18 ) )
      | ~ ( A @ ( C @ p18 ) )
      | ( B @ ( A @ p18 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(56,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_56) ).

thf(112,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p27 ) )
      | ~ ( A @ ( C @ p27 ) )
      | ( B @ ( A @ p27 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(78,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p29 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p25 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_78) ).

thf(123,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p29 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p25 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(23,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p27 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_23) ).

thf(194,plain,
    ! [A: $i] : ( A @ ( A @ p27 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(77,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p22 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f24 ) @ ( B @ ( A @ f24 ) @ p23 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_77) ).

thf(145,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p22 ) )
      | ~ ( D @ ( B @ p10 ) )
      | ( D @ ( C @ f24 ) @ ( B @ ( A @ f24 ) @ p23 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(36,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_36) ).

thf(199,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p7 ) )
      | ~ ( A @ ( C @ p7 ) )
      | ( B @ ( A @ p7 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(61,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_61) ).

thf(127,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(48,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p40 ) )
      | ~ ( A @ ( C @ p40 ) )
      | ( B @ ( A @ p40 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40_48) ).

thf(177,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p40 ) )
      | ~ ( A @ ( C @ p40 ) )
      | ( B @ ( A @ p40 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(67,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p27 ) )
      | ~ ( D @ ( C @ p62 ) )
      | ~ ( A @ ( C @ p4 ) )
      | ( B @ ( A @ p62 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_67) ).

thf(182,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p27 ) )
      | ~ ( D @ ( C @ p62 ) )
      | ~ ( A @ ( C @ p4 ) )
      | ( B @ ( A @ p62 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(17,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p38 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_17) ).

thf(154,plain,
    ! [A: $i] : ( A @ ( A @ p38 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(80,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p6 ) )
      | ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_80) ).

thf(175,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p7 ) )
      | ~ ( C @ ( A @ p6 ) )
      | ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(9,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p52 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p52_9) ).

thf(143,plain,
    ! [A: $i] : ( A @ ( A @ p52 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(44,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p48 ) )
      | ~ ( A @ ( C @ p48 ) )
      | ( B @ ( A @ p48 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p48_44) ).

thf(158,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p48 ) )
      | ~ ( A @ ( C @ p48 ) )
      | ( B @ ( A @ p48 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(72,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p18 ) )
      | ~ ( C @ ( A @ p17 ) )
      | ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_72) ).

thf(186,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p18 ) )
      | ~ ( C @ ( A @ p17 ) )
      | ( D @ ( C @ f19 ) @ ( B @ ( A @ f19 ) @ p14 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(24,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_24) ).

thf(114,plain,
    ! [A: $i] : ( A @ ( A @ p25 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(103,negated_conjecture,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ ( A @ ( E @ ( C @ ( F @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ p62 ) )
      | ~ ( D @ ( E @ f28 ) @ ( D @ ( C @ f31 ) @ ( B @ ( A @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p63_103) ).

thf(171,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ ( A @ ( E @ ( C @ ( F @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ p62 ) )
      | ~ ( D @ ( E @ f28 ) @ ( D @ ( C @ f31 ) @ ( B @ ( A @ ( c73 @ f30 ) @ f26 ) @ f24 ) @ p63 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(38,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_38) ).

thf(139,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p6 ) )
      | ~ ( A @ ( C @ p6 ) )
      | ( B @ ( A @ p6 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

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

thf(119,plain,
    ! [A: $i] : ( A @ ( A @ p32 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(15,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p40 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40_15) ).

thf(207,plain,
    ! [A: $i] : ( A @ ( A @ p40 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

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

thf(151,plain,
    ! [A: $i] : ( A @ ( A @ p9 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p56 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_7) ).

thf(168,plain,
    ! [A: $i] : ( A @ ( A @ p56 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(96,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p27 ) )
      | ~ ( C @ ( A @ p15 ) )
      | ( D @ ( C @ f28 ) @ ( B @ ( A @ f28 ) @ p7 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_96) ).

thf(146,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p27 ) )
      | ~ ( C @ ( A @ p15 ) )
      | ( D @ ( C @ f28 ) @ ( B @ ( A @ f28 ) @ p7 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(104,negated_conjecture,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ p62 ) )
      | ( F @ ( B @ f31 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c75 @ f51 ) @ f49 ) @ f47 ) @ f45 ) @ f43 ) @ f31 ) @ p10 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_104) ).

thf(190,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c74 @ f41 ) @ f39 ) @ f37 ) @ f35 ) @ f33 ) @ p62 ) )
      | ( F @ ( B @ f31 ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( c75 @ f51 ) @ f49 ) @ f47 ) @ f45 ) @ f43 ) @ f31 ) @ p10 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(16,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_16) ).

thf(183,plain,
    ! [A: $i] : ( A @ ( A @ p4 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(90,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p50 ) )
      | ~ ( D @ ( B @ p4 ) )
      | ( D @ ( C @ f51 ) @ ( B @ ( A @ f51 ) @ p48 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p48_90) ).

thf(210,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p50 ) )
      | ~ ( D @ ( B @ p4 ) )
      | ( D @ ( C @ f51 ) @ ( B @ ( A @ f51 ) @ p48 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(5,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_5) ).

thf(107,plain,
    ! [A: $i] : ( A @ ( A @ p6 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(8,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p54 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p54_8) ).

thf(195,plain,
    ! [A: $i] : ( A @ ( A @ p54 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(84,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p40 ) )
      | ~ ( D @ ( B @ p4 ) )
      | ( D @ ( C @ f41 ) @ ( B @ ( A @ f41 ) @ p38 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_84) ).

thf(126,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p40 ) )
      | ~ ( D @ ( B @ p4 ) )
      | ( D @ ( C @ f41 ) @ ( B @ ( A @ f41 ) @ p38 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(21,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_21) ).

thf(136,plain,
    ! [A: $i] : ( A @ ( A @ p3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(6,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p58 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p58_6) ).

thf(131,plain,
    ! [A: $i] : ( A @ ( A @ p58 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(63,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p17 ) )
      | ~ ( A @ ( C @ p17 ) )
      | ( B @ ( A @ p17 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_63) ).

thf(178,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p17 ) )
      | ~ ( A @ ( C @ p17 ) )
      | ( B @ ( A @ p17 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(54,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_54) ).

thf(163,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p3 ) )
      | ~ ( A @ ( C @ p3 ) )
      | ( B @ ( A @ p3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(30,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p17 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_30) ).

thf(200,plain,
    ! [A: $i] : ( A @ ( A @ p17 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(10,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p50 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p50_10) ).

thf(111,plain,
    ! [A: $i] : ( A @ ( A @ p50 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(57,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p25 ) )
      | ~ ( A @ ( C @ p25 ) )
      | ( B @ ( A @ p25 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_57) ).

thf(122,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p25 ) )
      | ~ ( A @ ( C @ p25 ) )
      | ( B @ ( A @ p25 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(337,plain,
    $false,
    inference(e,[status(thm)],[138,197,150,203,170,115,120,202,142,153,174,185,184,110,125,196,157,189,152,164,179,211,121,147,132,133,116,206,117,201,160,192,137,165,156,188,169,141,109,124,193,212,173,129,134,128,205,166,148,161,180,149,176,191,118,204,144,181,159,187,172,113,208,140,155,198,108,130,135,167,162,209,112,123,194,145,199,127,177,182,154,175,143,158,186,114,171,139,119,207,151,168,146,190,183,210,107,195,126,136,131,178,163,200,111,122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN715-1 : 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
% 0.17/5.42  % Computer : n002.cluster.edu
% 0.17/5.42  % Model    : x86_64 x86_64
% 0.17/5.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.42  % Memory   : 8046.5625MB
% 0.17/5.42  % OS       : Linux 6.8.0-71-generic
% 0.17/5.42  % CPULimit : 300
% 0.17/5.42  % WCLimit  : 300
% 0.17/5.42  % DateTime : Sat Sep 26 18:24:12 UTC 2026
% 0.17/5.42  % CPUTime  : 
% 0.17/5.42  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
% 0.19/6.00  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.36/6.26  % [INFO] 	 Parsing done (253ms). 
% 1.36/6.28  % [INFO] 	 Running in sequential loop mode. 
% 2.31/6.67  % [INFO] 	 eprover registered as external prover. 
% 2.31/6.68  % [INFO] 	 Scanning for conjecture ... 
% 2.92/6.91  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 3.20/7.08  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 3.20/7.08  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.20/7.09  % [INFO] 	 Type checking passed. 
% 3.20/7.09  % [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 ... 
% 8.78/8.45  % External prover 'e' found a proof!
% 8.78/8.45  % [INFO] 	 Killing All external provers ... 
% 8.78/8.45  % Time passed: 2889ms (effective reasoning time: 2170ms)
% 8.78/8.45  % Axioms used in derivation (0): 
% 8.78/8.45  % No. of inferences in proof: 213
% 8.78/8.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2889 ms resp. 2170 ms w/o parsing
% 9.32/8.56  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.32/8.56  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------