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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n007.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 09:18:09 AM UTC 2026

% Result   : Unsatisfiable 9.07s 4.26s
% Output   : Refutation 9.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   62
% Syntax   : Number of formulae    :  125 (  45 unt;   0 typ;   0 def)
%            Number of atoms       :  297 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives : 1548 ( 168   ~; 172   |;   0   &;1208   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   48 (  47 usr;  14 con; 0-2 aty)
%            Number of variables   :  320 (   0   ^; 320   !;   0   ?; 320   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p11_decl,type,
    p11: $i > $i > $o ).

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

thf(p8_decl,type,
    p8: $i > $i > $o ).

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

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

thf(p33_decl,type,
    p33: $i > $i > $o ).

thf(p31_decl,type,
    p31: $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(p21_decl,type,
    p21: $i > $i > $o ).

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

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

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

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

thf(p13_decl,type,
    p13: $i > $i > $o ).

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

thf(c36_decl,type,
    c36: $i ).

thf(c37_decl,type,
    c37: $i ).

thf(c38_decl,type,
    c38: $i ).

thf(c40_decl,type,
    c40: $i ).

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

thf(f7_decl,type,
    f7: $i > $i > $i ).

thf(c39_decl,type,
    c39: $i ).

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

thf(f10_decl,type,
    f10: $i > $i > $i ).

thf(f14_decl,type,
    f14: $i > $i > $i ).

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

thf(f20_decl,type,
    f20: $i > $i > $i ).

thf(f22_decl,type,
    f22: $i > $i > $i ).

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

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

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

thf(f32_decl,type,
    f32: $i > $i > $i ).

thf(f12_decl,type,
    f12: $i > $i > $i ).

thf(f18_decl,type,
    f18: $i > $i > $i ).

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

thf(c41_decl,type,
    c41: $i ).

thf(c47_decl,type,
    c47: $i ).

thf(c48_decl,type,
    c48: $i ).

thf(c46_decl,type,
    c46: $i ).

thf(c43_decl,type,
    c43: $i ).

thf(c44_decl,type,
    c44: $i ).

thf(c42_decl,type,
    c42: $i ).

thf(c45_decl,type,
    c45: $i ).

thf(11,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p25 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_11) ).

thf(110,plain,
    ! [A: $i] : ( A @ ( A @ p25 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(37,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p19 ) )
      | ~ ( A @ ( C @ p19 ) )
      | ( B @ ( A @ p19 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_37) ).

thf(70,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p19 ) )
      | ~ ( A @ ( C @ p19 ) )
      | ( B @ ( A @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(2,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p9 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).

thf(64,plain,
    ! [A: $i] : ( A @ ( A @ p9 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(36,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_36) ).

thf(118,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(6,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p33 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_6) ).

thf(80,plain,
    ! [A: $i] : ( A @ ( A @ p33 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(56,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/sandbox2/benchmark/theBenchmark.p',p4_56) ).

thf(67,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)],[56]) ).

thf(52,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p8 ) )
      | ~ ( C @ ( A @ p31 ) )
      | ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p29 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_52) ).

thf(72,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p8 ) )
      | ~ ( C @ ( A @ p31 ) )
      | ( D @ ( C @ f32 ) @ ( B @ ( A @ f32 ) @ p29 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(55,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p6 ) )
      | ~ ( C @ ( A @ p29 ) )
      | ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_55) ).

thf(114,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p6 ) )
      | ~ ( C @ ( A @ p29 ) )
      | ( D @ ( C @ f30 ) @ ( B @ ( A @ f30 ) @ p3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(42,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p3 ) )
      | ~ ( A @ ( C @ p9 ) )
      | ~ ( D @ ( C @ p35 ) )
      | ( B @ ( A @ p35 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35_42) ).

thf(68,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p3 ) )
      | ~ ( A @ ( C @ p9 ) )
      | ~ ( D @ ( C @ p35 ) )
      | ( B @ ( A @ p35 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(24,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p9 ) )
      | ~ ( A @ ( C @ p9 ) )
      | ( B @ ( A @ p9 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_24) ).

thf(69,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p9 ) )
      | ~ ( A @ ( C @ p9 ) )
      | ( B @ ( A @ p9 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(7,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p31 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_7) ).

thf(101,plain,
    ! [A: $i] : ( A @ ( A @ p31 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(13,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p21 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_13) ).

thf(88,plain,
    ! [A: $i] : ( A @ ( A @ p21 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(23,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p11 ) )
      | ~ ( A @ ( C @ p11 ) )
      | ( B @ ( A @ p11 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_23) ).

thf(115,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p11 ) )
      | ~ ( A @ ( C @ p11 ) )
      | ( B @ ( A @ p11 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(51,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p8 ) )
      | ~ ( C @ ( A @ p27 ) )
      | ( D @ ( C @ f28 ) @ ( B @ ( A @ f28 ) @ p25 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_51) ).

thf(120,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p8 ) )
      | ~ ( C @ ( A @ p27 ) )
      | ( D @ ( C @ f28 ) @ ( B @ ( A @ f28 ) @ p25 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(34,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p23 ) )
      | ~ ( A @ ( C @ p23 ) )
      | ( B @ ( A @ p23 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_34) ).

thf(93,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p23 ) )
      | ~ ( A @ ( C @ p23 ) )
      | ( B @ ( A @ p23 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(61,negated_conjecture,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( B @ ( D @ f7 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( B @ f5 ) @ p4 ) )
      | ~ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( A @ ( D @ f7 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( A @ f5 ) @ p4 ) )
      | ~ ( D @ ( C @ ( c42 @ f32 ) @ f30 ) @ ( E @ ( C @ f10 ) @ p35 ) )
      | ~ ( C @ ( c36 @ p34 ) )
      | ( E @ ( D @ ( C @ ( c44 @ f28 ) @ f26 ) @ f5 ) @ ( E @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ f5 ) @ p4 ) )
      | ( B @ ( A @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).

thf(78,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( B @ ( D @ f7 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( B @ f5 ) @ p4 ) )
      | ~ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( A @ ( D @ f7 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( A @ f5 ) @ p4 ) )
      | ~ ( D @ ( C @ ( c42 @ f32 ) @ f30 ) @ ( E @ ( C @ f10 ) @ p35 ) )
      | ~ ( C @ ( c36 @ p34 ) )
      | ( E @ ( D @ ( C @ ( c44 @ f28 ) @ f26 ) @ f5 ) @ ( E @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ f5 ) @ p4 ) )
      | ( B @ ( A @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(18,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p13 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_18) ).

thf(106,plain,
    ! [A: $i] : ( A @ ( A @ p13 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(19,negated_conjecture,
    c37 @ ( c36 @ p34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).

thf(121,plain,
    c37 @ ( c36 @ p34 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(28,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p33 ) )
      | ~ ( A @ ( C @ p33 ) )
      | ( B @ ( A @ p33 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_28) ).

thf(84,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p33 ) )
      | ~ ( A @ ( C @ p33 ) )
      | ( B @ ( A @ p33 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(41,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ p33 ) )
      | ~ ( B @ ( D @ p8 ) )
      | ~ ( D @ ( C @ p34 ) )
      | ( B @ ( A @ p34 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_41) ).

thf(89,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ p33 ) )
      | ~ ( B @ ( D @ p8 ) )
      | ~ ( D @ ( C @ p34 ) )
      | ( B @ ( A @ p34 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(8,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).

thf(116,plain,
    ! [A: $i] : ( A @ ( A @ p3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(20,negated_conjecture,
    ~ ( c40 @ ( c38 @ p2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_20) ).

thf(74,plain,
    ~ ( c40 @ ( c38 @ p2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(58,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ ( A @ ( c41 @ f16 ) @ f14 ) @ f12 ) @ ( C @ f5 ) @ ( B @ ( C @ ( A @ ( c41 @ f16 ) @ f14 ) @ f12 ) @ ( A @ f5 ) @ p4 ) )
      | ( B @ ( C @ ( c39 @ f7 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f7 ) @ f5 ) @ p4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).

thf(117,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ ( A @ ( c41 @ f16 ) @ f14 ) @ f12 ) @ ( C @ f5 ) @ ( B @ ( C @ ( A @ ( c41 @ f16 ) @ f14 ) @ f12 ) @ ( A @ f5 ) @ p4 ) )
      | ( B @ ( C @ ( c39 @ f7 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f7 ) @ f5 ) @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(38,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p17 ) )
      | ~ ( A @ ( C @ p17 ) )
      | ( B @ ( A @ p17 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_38) ).

thf(85,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p17 ) )
      | ~ ( A @ ( C @ p17 ) )
      | ( B @ ( A @ p17 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(39,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p15 ) )
      | ~ ( A @ ( C @ p15 ) )
      | ( B @ ( A @ p15 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_39) ).

thf(102,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p15 ) )
      | ~ ( A @ ( C @ p15 ) )
      | ( B @ ( A @ p15 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(32,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p27 ) )
      | ~ ( A @ ( C @ p27 ) )
      | ( B @ ( A @ p27 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_32) ).

thf(92,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p27 ) )
      | ~ ( A @ ( C @ p27 ) )
      | ( B @ ( A @ p27 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(4,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).

thf(65,plain,
    ! [A: $i] : ( A @ ( A @ p6 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(27,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p4 ) )
      | ~ ( A @ ( C @ p4 ) )
      | ( B @ ( A @ p4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_27) ).

thf(97,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p4 ) )
      | ~ ( A @ ( C @ p4 ) )
      | ( B @ ( A @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(31,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p29 ) )
      | ~ ( A @ ( C @ p29 ) )
      | ( B @ ( A @ p29 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_31) ).

thf(109,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p29 ) )
      | ~ ( A @ ( C @ p29 ) )
      | ( B @ ( A @ p29 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(62,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ ( c42 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c44 @ f28 ) @ f26 ) @ ( D @ f7 ) @ f5 ) @ ( D @ ( C @ ( c42 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f7 ) @ f5 ) @ p4 ) )
      | ~ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( B @ ( D @ f7 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( B @ f5 ) @ p4 ) )
      | ~ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( A @ ( D @ f7 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( A @ f5 ) @ p4 ) )
      | ~ ( C @ ( c36 @ p34 ) )
      | ( B @ ( A @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).

thf(124,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ ( c42 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c44 @ f28 ) @ f26 ) @ ( D @ f7 ) @ f5 ) @ ( D @ ( C @ ( c42 @ f32 ) @ f30 ) @ ( D @ ( C @ ( c43 @ f28 ) @ f26 ) @ ( D @ f7 ) @ f5 ) @ p4 ) )
      | ~ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( B @ ( D @ f7 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( B @ f5 ) @ p4 ) )
      | ~ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( A @ ( D @ f7 ) @ f5 ) @ ( B @ ( A @ ( D @ ( C @ ( c45 @ f24 ) @ f22 ) @ f20 ) @ f18 ) @ ( A @ f5 ) @ p4 ) )
      | ~ ( C @ ( c36 @ p34 ) )
      | ( B @ ( A @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(29,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p31 ) )
      | ~ ( A @ ( C @ p31 ) )
      | ( B @ ( A @ p31 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_29) ).

thf(77,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p31 ) )
      | ~ ( A @ ( C @ p31 ) )
      | ( B @ ( A @ p31 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(59,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( c46 @ f32 ) @ f30 ) @ ( C @ ( A @ f10 ) @ p35 ) )
      | ~ ( A @ ( c36 @ p34 ) )
      | ( D @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ ( B @ f7 ) @ f5 ) @ ( D @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ f5 ) @ p4 ) )
      | ( C @ ( B @ ( A @ ( c48 @ f28 ) @ f26 ) @ f5 ) @ ( C @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ f5 ) @ p4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_59) ).

thf(96,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( c46 @ f32 ) @ f30 ) @ ( C @ ( A @ f10 ) @ p35 ) )
      | ~ ( A @ ( c36 @ p34 ) )
      | ( D @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ ( B @ f7 ) @ f5 ) @ ( D @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ f5 ) @ p4 ) )
      | ( C @ ( B @ ( A @ ( c48 @ f28 ) @ f26 ) @ f5 ) @ ( C @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ f5 ) @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(14,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

thf(73,plain,
    ! [A: $i] : ( A @ ( A @ p2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(48,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p6 ) )
      | ~ ( C @ ( A @ p25 ) )
      | ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_48) ).

thf(105,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p6 ) )
      | ~ ( C @ ( A @ p25 ) )
      | ( D @ ( C @ f26 ) @ ( B @ ( A @ f26 ) @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(25,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p8 ) )
      | ~ ( A @ ( C @ p8 ) )
      | ( B @ ( A @ p8 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_25) ).

thf(71,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p8 ) )
      | ~ ( A @ ( C @ p8 ) )
      | ( B @ ( A @ p8 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(9,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p29 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_9) ).

thf(86,plain,
    ! [A: $i] : ( A @ ( A @ p29 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(26,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p6 ) )
      | ~ ( A @ ( C @ p6 ) )
      | ( B @ ( A @ p6 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_26) ).

thf(113,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p6 ) )
      | ~ ( A @ ( C @ p6 ) )
      | ( B @ ( A @ p6 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(60,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( c46 @ f32 ) @ f30 ) @ ( B @ ( A @ ( c48 @ f28 ) @ f26 ) @ ( B @ f7 ) @ f5 ) @ ( B @ ( A @ ( c46 @ f32 ) @ f30 ) @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ ( B @ f7 ) @ f5 ) @ p4 ) )
      | ~ ( A @ ( c36 @ p34 ) )
      | ( C @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ ( B @ f7 ) @ f5 ) @ ( C @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ f5 ) @ p4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_60) ).

thf(81,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( A @ ( c46 @ f32 ) @ f30 ) @ ( B @ ( A @ ( c48 @ f28 ) @ f26 ) @ ( B @ f7 ) @ f5 ) @ ( B @ ( A @ ( c46 @ f32 ) @ f30 ) @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ ( B @ f7 ) @ f5 ) @ p4 ) )
      | ~ ( A @ ( c36 @ p34 ) )
      | ( C @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ ( B @ f7 ) @ f5 ) @ ( C @ ( B @ ( A @ ( c47 @ f28 ) @ f26 ) @ f5 ) @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(57,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ( B @ ( C @ ( A @ ( c41 @ f16 ) @ f14 ) @ f12 ) @ ( c37 @ f10 ) @ p35 ) )
      | ( B @ ( C @ ( c39 @ f7 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f7 ) @ f5 ) @ p4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).

thf(76,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ( B @ ( C @ ( A @ ( c41 @ f16 ) @ f14 ) @ f12 ) @ ( c37 @ f10 ) @ p35 ) )
      | ( B @ ( C @ ( c39 @ f7 ) @ f5 ) @ ( B @ ( A @ ( c39 @ f7 ) @ f5 ) @ p4 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(12,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p23 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_12) ).

thf(98,plain,
    ! [A: $i] : ( A @ ( A @ p23 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(3,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).

thf(103,plain,
    ! [A: $i] : ( A @ ( A @ p8 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(17,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p15 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_17) ).

thf(91,plain,
    ! [A: $i] : ( A @ ( A @ p15 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(10,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p27 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_10) ).

thf(66,plain,
    ! [A: $i] : ( A @ ( A @ p27 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(16,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p17 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_16) ).

thf(108,plain,
    ! [A: $i] : ( A @ ( A @ p17 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(40,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p13 ) )
      | ~ ( A @ ( C @ p13 ) )
      | ( B @ ( A @ p13 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_40) ).

thf(112,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p13 ) )
      | ~ ( A @ ( C @ p13 ) )
      | ( B @ ( A @ p13 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(15,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p19 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_15) ).

thf(123,plain,
    ! [A: $i] : ( A @ ( A @ p19 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(5,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).

thf(63,plain,
    ! [A: $i] : ( A @ ( A @ p4 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(44,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p13 ) )
      | ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p11 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_44) ).

thf(95,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p13 ) )
      | ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p11 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(54,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p17 ) )
      | ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_54) ).

thf(99,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p17 ) )
      | ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(53,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p11 ) )
      | ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_53) ).

thf(87,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p3 ) )
      | ~ ( C @ ( A @ p11 ) )
      | ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(35,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p21 ) )
      | ~ ( A @ ( C @ p21 ) )
      | ( B @ ( A @ p21 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_35) ).

thf(104,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p21 ) )
      | ~ ( A @ ( C @ p21 ) )
      | ( B @ ( A @ p21 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(46,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p19 ) )
      | ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p17 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_46) ).

thf(75,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p19 ) )
      | ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p17 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(30,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p3 ) )
      | ~ ( A @ ( C @ p3 ) )
      | ( B @ ( A @ p3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_30) ).

thf(119,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p3 ) )
      | ~ ( A @ ( C @ p3 ) )
      | ( B @ ( A @ p3 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(21,negated_conjecture,
    ! [A: $i] : ( A @ ( c40 @ ( c39 @ f7 ) @ f5 ) @ ( A @ ( c40 @ f5 ) @ p4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_21) ).

thf(82,plain,
    ! [A: $i] : ( A @ ( c40 @ ( c39 @ f7 ) @ f5 ) @ ( A @ ( c40 @ f5 ) @ p4 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(50,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p8 ) )
      | ~ ( C @ ( A @ p23 ) )
      | ( D @ ( C @ f24 ) @ ( B @ ( A @ f24 ) @ p21 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_50) ).

thf(107,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p8 ) )
      | ~ ( C @ ( A @ p23 ) )
      | ( D @ ( C @ f24 ) @ ( B @ ( A @ f24 ) @ p21 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(1,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p11 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).

thf(79,plain,
    ! [A: $i] : ( A @ ( A @ p11 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(22,negated_conjecture,
    ! [A: $i] : ( A @ ( c38 @ ( c39 @ f7 ) @ f5 ) @ ( A @ ( c38 @ f5 ) @ p4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_22) ).

thf(94,plain,
    ! [A: $i] : ( A @ ( c38 @ ( c39 @ f7 ) @ f5 ) @ ( A @ ( c38 @ f5 ) @ p4 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(47,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p6 ) )
      | ~ ( C @ ( A @ p21 ) )
      | ( D @ ( C @ f22 ) @ ( B @ ( A @ f22 ) @ p19 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_47) ).

thf(122,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p6 ) )
      | ~ ( C @ ( A @ p21 ) )
      | ( D @ ( C @ f22 ) @ ( B @ ( A @ f22 ) @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(33,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p25 ) )
      | ~ ( A @ ( C @ p25 ) )
      | ( B @ ( A @ p25 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_33) ).

thf(83,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p25 ) )
      | ~ ( A @ ( C @ p25 ) )
      | ( B @ ( A @ p25 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(49,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p6 ) )
      | ~ ( D @ ( B @ p2 ) )
      | ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_49) ).

thf(100,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p6 ) )
      | ~ ( D @ ( B @ p2 ) )
      | ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(45,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p15 ) )
      | ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p13 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_45) ).

thf(90,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p15 ) )
      | ( D @ ( C @ f16 ) @ ( B @ ( A @ f16 ) @ p13 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(43,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p8 ) )
      | ~ ( D @ ( B @ p3 ) )
      | ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p9 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_43) ).

thf(111,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p8 ) )
      | ~ ( D @ ( B @ p3 ) )
      | ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p9 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(166,plain,
    $false,
    inference(e,[status(thm)],[110,70,64,118,80,67,72,114,68,69,101,88,115,120,93,78,106,121,84,89,116,74,117,85,102,92,65,97,109,124,77,96,73,105,71,86,113,81,76,98,103,91,66,108,112,123,63,95,99,87,104,75,119,82,107,79,94,122,83,100,90,111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.11/0.39  % Computer : n007.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sat Sep 26 18:18:24 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.34/1.26  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.86/1.60  % [INFO] 	 Parsing done (336ms). 
% 2.21/1.62  % [INFO] 	 Running in sequential loop mode. 
% 3.61/2.24  % [INFO] 	 eprover registered as external prover. 
% 3.61/2.25  % [INFO] 	 Scanning for conjecture ... 
% 4.20/2.57  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 4.71/2.78  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 4.71/2.78  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 4.71/2.79  % [INFO] 	 Type checking passed. 
% 4.92/2.80  % [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 ... 
% 9.07/4.25  % External prover 'e' found a proof!
% 9.07/4.25  % [INFO] 	 Killing All external provers ... 
% 9.07/4.26  % Time passed: 3652ms (effective reasoning time: 2628ms)
% 9.07/4.26  % Axioms used in derivation (0): 
% 9.07/4.26  % No. of inferences in proof: 125
% 9.07/4.26  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3652 ms resp. 2628 ms w/o parsing
% 9.69/4.42  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.69/4.42  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------