TSTP Solution File: SYN706-1 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN706-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:29:43 EDT 2023

% Result   : Unsatisfiable 4.57s 2.00s
% Output   : Refutation 4.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  142
% Syntax   : Number of formulae    :  224 (  63 unt;  61 typ;   0 def)
%            Number of atoms       :  365 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives : 1436 ( 206   ~; 202   |;   0   &;1028   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   94 (  94   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   62 (  61 usr;  15 con; 0-2 aty)
%            Number of variables   :  398 (   0   ^; 398   !;   0   ?; 398   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p10_type,type,
    p10: $i > $i > $o ).

thf(p9_type,type,
    p9: $i > $i > $o ).

thf(p7_type,type,
    p7: $i > $i > $o ).

thf(p6_type,type,
    p6: $i > $i > $o ).

thf(p47_type,type,
    p47: $i > $i > $o ).

thf(p43_type,type,
    p43: $i > $i > $o ).

thf(p41_type,type,
    p41: $i > $i > $o ).

thf(p4_type,type,
    p4: $i > $i > $o ).

thf(p39_type,type,
    p39: $i > $i > $o ).

thf(p37_type,type,
    p37: $i > $i > $o ).

thf(p36_type,type,
    p36: $i > $i > $o ).

thf(p33_type,type,
    p33: $i > $i > $o ).

thf(p3_type,type,
    p3: $i > $i > $o ).

thf(p29_type,type,
    p29: $i > $i > $o ).

thf(p27_type,type,
    p27: $i > $i > $o ).

thf(p26_type,type,
    p26: $i > $i > $o ).

thf(p24_type,type,
    p24: $i > $i > $o ).

thf(p22_type,type,
    p22: $i > $i > $o ).

thf(p21_type,type,
    p21: $i > $i > $o ).

thf(p2_type,type,
    p2: $i > $i > $o ).

thf(p19_type,type,
    p19: $i > $i > $o ).

thf(p18_type,type,
    p18: $i > $i > $o ).

thf(p16_type,type,
    p16: $i > $i > $o ).

thf(p15_type,type,
    p15: $i > $i > $o ).

thf(p13_type,type,
    p13: $i > $i > $o ).

thf(p12_type,type,
    p12: $i > $i > $o ).

thf(p45_type,type,
    p45: $i > $i > $o ).

thf(f20_type,type,
    f20: $i > $i > $i ).

thf(c52_type,type,
    c52: $i ).

thf(c50_type,type,
    c50: $i ).

thf(c58_type,type,
    c58: $i ).

thf(f5_type,type,
    f5: $i > $i > $i ).

thf(c49_type,type,
    c49: $i ).

thf(c51_type,type,
    c51: $i ).

thf(p48_type,type,
    p48: $i > $i > $o ).

thf(f38_type,type,
    f38: $i > $i > $i ).

thf(f40_type,type,
    f40: $i > $i > $i ).

thf(c59_type,type,
    c59: $i ).

thf(c60_type,type,
    c60: $i ).

thf(p46_type,type,
    p46: $i > $i > $o ).

thf(f8_type,type,
    f8: $i > $i > $i ).

thf(f11_type,type,
    f11: $i > $i > $i ).

thf(c54_type,type,
    c54: $i ).

thf(f14_type,type,
    f14: $i > $i > $i ).

thf(f17_type,type,
    f17: $i > $i > $i ).

thf(c55_type,type,
    c55: $i ).

thf(f35_type,type,
    f35: $i > $i > $i ).

thf(f25_type,type,
    f25: $i > $i > $i ).

thf(f28_type,type,
    f28: $i > $i > $i ).

thf(c56_type,type,
    c56: $i ).

thf(f31_type,type,
    f31: $i > $i > $i ).

thf(f34_type,type,
    f34: $i > $i > $i ).

thf(c57_type,type,
    c57: $i ).

thf(f32_type,type,
    f32: $i > $i > $i ).

thf(f44_type,type,
    f44: $i > $i > $i ).

thf(p30_type,type,
    p30: $i > $i > $o ).

thf(f23_type,type,
    f23: $i > $i > $i ).

thf(f42_type,type,
    f42: $i > $i > $i ).

thf(c53_type,type,
    c53: $i ).

thf(c62_type,type,
    c62: $i ).

thf(c61_type,type,
    c61: $i ).

thf(81,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( p48 @ ( f38 @ ( f40 @ c59 @ c50 ) @ ( f8 @ ( f11 @ c54 @ ( f14 @ ( f17 @ c55 @ c61 ) @ A ) ) @ B ) ) @ c60 )
      | ~ ( p45 @ ( f20 @ c52 @ c50 ) @ B )
      | ~ ( p46 @ ( f23 @ c53 @ A ) @ ( f5 @ c49 @ c50 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_81) ).

thf(129,plain,
    ! [B: $i,A: $i] :
      ( ( p48 @ ( f38 @ ( f40 @ c59 @ c50 ) @ ( f8 @ ( f11 @ c54 @ ( f14 @ ( f17 @ c55 @ c61 ) @ A ) ) @ B ) ) @ c60 )
      | ~ ( p45 @ ( f20 @ c52 @ c50 ) @ B )
      | ~ ( p46 @ ( f23 @ c53 @ A ) @ ( f5 @ c49 @ c50 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(17,negated_conjecture,
    ! [A: $i] : ( p24 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_17) ).

thf(118,plain,
    ! [A: $i] : ( p24 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(54,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p13 @ A @ B )
      | ~ ( p13 @ C @ A )
      | ~ ( p13 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_54) ).

thf(127,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p13 @ A @ B )
      | ~ ( p13 @ C @ A )
      | ~ ( p13 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(7,negated_conjecture,
    ! [A: $i] : ( p41 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p41_7) ).

thf(131,plain,
    ! [A: $i] : ( p41 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(18,negated_conjecture,
    ! [A: $i] : ( p22 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_18) ).

thf(138,plain,
    ! [A: $i] : ( p22 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(1,negated_conjecture,
    ! [A: $i] : ( p10 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).

thf(101,plain,
    ! [A: $i] : ( p10 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(56,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p45 @ A @ B )
      | ~ ( p45 @ C @ D )
      | ~ ( p7 @ D @ B )
      | ~ ( p19 @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_56) ).

thf(88,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p45 @ A @ B )
      | ~ ( p45 @ C @ D )
      | ~ ( p7 @ D @ B )
      | ~ ( p19 @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

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

thf(115,plain,
    ! [A: $i] : ( p9 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(34,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p47 @ A @ B )
      | ~ ( p47 @ C @ A )
      | ~ ( p47 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_34) ).

thf(120,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p47 @ A @ B )
      | ~ ( p47 @ C @ A )
      | ~ ( p47 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(31,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p9 @ A @ B )
      | ~ ( p9 @ C @ B )
      | ~ ( p9 @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_31) ).

thf(142,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p9 @ A @ B )
      | ~ ( p9 @ C @ B )
      | ~ ( p9 @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(36,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p41 @ A @ B )
      | ~ ( p41 @ C @ A )
      | ~ ( p41 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p41_36) ).

thf(153,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p41 @ A @ B )
      | ~ ( p41 @ C @ A )
      | ~ ( p41 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(9,negated_conjecture,
    ! [A: $i] : ( p39 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_9) ).

thf(110,plain,
    ! [A: $i] : ( p39 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(71,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p27 @ ( f31 @ A @ B ) @ ( f31 @ C @ D ) )
      | ~ ( p29 @ A @ C )
      | ~ ( p30 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_71) ).

thf(125,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p27 @ ( f31 @ A @ B ) @ ( f31 @ C @ D ) )
      | ~ ( p29 @ A @ C )
      | ~ ( p30 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

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

thf(157,plain,
    ! [A: $i] : ( p6 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(52,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p16 @ A @ B )
      | ~ ( p16 @ C @ A )
      | ~ ( p16 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_52) ).

thf(93,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p16 @ A @ B )
      | ~ ( p16 @ C @ A )
      | ~ ( p16 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(58,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p46 @ A @ B )
      | ~ ( p4 @ C @ B )
      | ~ ( p46 @ D @ C )
      | ~ ( p22 @ D @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_58) ).

thf(152,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p46 @ A @ B )
      | ~ ( p4 @ C @ B )
      | ~ ( p46 @ D @ C )
      | ~ ( p22 @ D @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(21,negated_conjecture,
    ! [A: $i] : ( p19 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_21) ).

thf(106,plain,
    ! [A: $i] : ( p19 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(22,negated_conjecture,
    ! [A: $i] : ( p18 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_22) ).

thf(121,plain,
    ! [A: $i] : ( p18 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(65,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
      | ~ ( p2 @ A @ C )
      | ~ ( p3 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_65) ).

thf(84,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
      | ~ ( p2 @ A @ C )
      | ~ ( p3 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(26,negated_conjecture,
    ! [A: $i] : ( p12 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_26) ).

thf(147,plain,
    ! [A: $i] : ( p12 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(39,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p37 @ A @ B )
      | ~ ( p37 @ C @ A )
      | ~ ( p37 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_39) ).

thf(132,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p37 @ A @ B )
      | ~ ( p37 @ C @ A )
      | ~ ( p37 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(45,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p26 @ A @ B )
      | ~ ( p26 @ C @ A )
      | ~ ( p26 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_45) ).

thf(116,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p26 @ A @ B )
      | ~ ( p26 @ C @ A )
      | ~ ( p26 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(42,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p3 @ A @ B )
      | ~ ( p3 @ C @ A )
      | ~ ( p3 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_42) ).

thf(89,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p3 @ A @ B )
      | ~ ( p3 @ C @ A )
      | ~ ( p3 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(3,negated_conjecture,
    ! [A: $i] : ( p7 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).

thf(133,plain,
    ! [A: $i] : ( p7 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(64,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p41 @ ( f44 @ A @ B ) @ ( f44 @ C @ D ) )
      | ~ ( p43 @ A @ C )
      | ~ ( p7 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p41_64) ).

thf(117,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p41 @ ( f44 @ A @ B ) @ ( f44 @ C @ D ) )
      | ~ ( p43 @ A @ C )
      | ~ ( p7 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(77,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p12 @ ( f17 @ A @ B ) @ ( f17 @ C @ D ) )
      | ~ ( p15 @ A @ C )
      | ~ ( p16 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_77) ).

thf(85,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p12 @ ( f17 @ A @ B ) @ ( f17 @ C @ D ) )
      | ~ ( p15 @ A @ C )
      | ~ ( p16 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(74,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p19 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
      | ~ ( p18 @ A @ C )
      | ~ ( p3 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_74) ).

thf(102,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p19 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
      | ~ ( p18 @ A @ C )
      | ~ ( p3 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(15,negated_conjecture,
    ! [A: $i] : ( p27 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_15) ).

thf(160,plain,
    ! [A: $i] : ( p27 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(63,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p6 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
      | ~ ( p10 @ B @ D )
      | ~ ( p9 @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_63) ).

thf(137,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p6 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
      | ~ ( p10 @ B @ D )
      | ~ ( p9 @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(25,negated_conjecture,
    ! [A: $i] : ( p13 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_25) ).

thf(92,plain,
    ! [A: $i] : ( p13 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(57,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p48 @ A @ B )
      | ~ ( p47 @ C @ B )
      | ~ ( p48 @ D @ C )
      | ~ ( p37 @ D @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_57) ).

thf(97,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p48 @ A @ B )
      | ~ ( p47 @ C @ B )
      | ~ ( p48 @ D @ C )
      | ~ ( p37 @ D @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(19,negated_conjecture,
    ! [A: $i] : ( p21 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_19) ).

thf(156,plain,
    ! [A: $i] : ( p21 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(16,negated_conjecture,
    ! [A: $i] : ( p26 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_16) ).

thf(141,plain,
    ! [A: $i] : ( p26 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(38,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p39 @ A @ B )
      | ~ ( p39 @ C @ A )
      | ~ ( p39 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_38) ).

thf(109,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p39 @ A @ B )
      | ~ ( p39 @ C @ A )
      | ~ ( p39 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(27,negated_conjecture,
    p45 @ ( f20 @ c52 @ c50 ) @ c58,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_27) ).

thf(124,plain,
    p45 @ ( f20 @ c52 @ c50 ) @ c58,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(46,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p24 @ A @ B )
      | ~ ( p24 @ C @ A )
      | ~ ( p24 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_46) ).

thf(96,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p24 @ A @ B )
      | ~ ( p24 @ C @ A )
      | ~ ( p24 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(80,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p45 @ ( f20 @ c52 @ A ) @ ( f8 @ ( f11 @ c54 @ ( f14 @ ( f17 @ c55 @ B ) @ C ) ) @ D ) )
      | ~ ( p45 @ ( f20 @ c52 @ A ) @ D )
      | ~ ( p46 @ ( f23 @ c53 @ C ) @ ( f5 @ c49 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_80) ).

thf(134,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p45 @ ( f20 @ c52 @ A ) @ ( f8 @ ( f11 @ c54 @ ( f14 @ ( f17 @ c55 @ B ) @ C ) ) @ D ) )
      | ~ ( p45 @ ( f20 @ c52 @ A ) @ D )
      | ~ ( p46 @ ( f23 @ c53 @ C ) @ ( f5 @ c49 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

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

thf(128,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p2 @ A @ B )
      | ~ ( p2 @ C @ A )
      | ~ ( p2 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(70,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p29 @ ( f34 @ A @ B ) @ ( f34 @ C @ D ) )
      | ~ ( p13 @ B @ D )
      | ~ ( p33 @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_70) ).

thf(105,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p29 @ ( f34 @ A @ B ) @ ( f34 @ C @ D ) )
      | ~ ( p13 @ B @ D )
      | ~ ( p33 @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(55,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p12 @ A @ B )
      | ~ ( p12 @ C @ A )
      | ~ ( p12 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_55) ).

thf(148,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p12 @ A @ B )
      | ~ ( p12 @ C @ A )
      | ~ ( p12 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(68,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p36 @ ( f40 @ A @ B ) @ ( f40 @ C @ D ) )
      | ~ ( p3 @ B @ D )
      | ~ ( p39 @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36_68) ).

thf(161,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p36 @ ( f40 @ A @ B ) @ ( f40 @ C @ D ) )
      | ~ ( p3 @ B @ D )
      | ~ ( p39 @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(23,negated_conjecture,
    ! [A: $i] : ( p16 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).

thf(149,plain,
    ! [A: $i] : ( p16 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(72,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p24 @ ( f28 @ A @ B ) @ ( f28 @ C @ D ) )
      | ~ ( p26 @ A @ C )
      | ~ ( p27 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_72) ).

thf(144,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p24 @ ( f28 @ A @ B ) @ ( f28 @ C @ D ) )
      | ~ ( p26 @ A @ C )
      | ~ ( p27 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(66,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p4 @ ( f25 @ A @ B ) @ ( f25 @ C @ D ) )
      | ~ ( p24 @ A @ C )
      | ~ ( p4 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_66) ).

thf(86,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p4 @ ( f25 @ A @ B ) @ ( f25 @ C @ D ) )
      | ~ ( p24 @ A @ C )
      | ~ ( p4 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(47,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p22 @ A @ B )
      | ~ ( p22 @ C @ A )
      | ~ ( p22 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_47) ).

thf(159,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p22 @ A @ B )
      | ~ ( p22 @ C @ A )
      | ~ ( p22 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(41,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p33 @ A @ B )
      | ~ ( p33 @ C @ A )
      | ~ ( p33 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_41) ).

thf(113,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p33 @ A @ B )
      | ~ ( p33 @ C @ A )
      | ~ ( p33 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(78,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p46 @ ( f23 @ c53 @ ( f35 @ A @ B ) ) @ ( f5 @ c49 @ C ) )
      | ~ ( p45 @ ( f20 @ c52 @ C ) @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_78) ).

thf(98,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p46 @ ( f23 @ c53 @ ( f35 @ A @ B ) ) @ ( f5 @ c49 @ C ) )
      | ~ ( p45 @ ( f20 @ c52 @ C ) @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(6,negated_conjecture,
    ! [A: $i] : ( p43 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p43_6) ).

thf(103,plain,
    ! [A: $i] : ( p43 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(67,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p37 @ ( f38 @ A @ B ) @ ( f38 @ C @ D ) )
      | ~ ( p36 @ A @ C )
      | ~ ( p7 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_67) ).

thf(140,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p37 @ ( f38 @ A @ B ) @ ( f38 @ C @ D ) )
      | ~ ( p36 @ A @ C )
      | ~ ( p7 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(37,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p4 @ A @ B )
      | ~ ( p4 @ C @ A )
      | ~ ( p4 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_37) ).

thf(91,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p4 @ A @ B )
      | ~ ( p4 @ C @ A )
      | ~ ( p4 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(51,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p18 @ A @ B )
      | ~ ( p18 @ C @ A )
      | ~ ( p18 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_51) ).

thf(155,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p18 @ A @ B )
      | ~ ( p18 @ C @ A )
      | ~ ( p18 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(28,negated_conjecture,
    ~ ( p4 @ ( f5 @ c49 @ c50 ) @ c51 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_28) ).

thf(108,plain,
    ~ ( p4 @ ( f5 @ c49 @ c50 ) @ c51 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(76,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p13 @ ( f35 @ A @ B ) @ ( f35 @ C @ D ) )
      | ~ ( p16 @ B @ D )
      | ~ ( p7 @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_76) ).

thf(130,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p13 @ ( f35 @ A @ B ) @ ( f35 @ C @ D ) )
      | ~ ( p16 @ B @ D )
      | ~ ( p7 @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(35,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p43 @ A @ B )
      | ~ ( p43 @ C @ A )
      | ~ ( p43 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p43_35) ).

thf(135,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p43 @ A @ B )
      | ~ ( p43 @ C @ A )
      | ~ ( p43 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(62,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p7 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
      | ~ ( p6 @ A @ C )
      | ~ ( p7 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_62) ).

thf(162,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p7 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
      | ~ ( p6 @ A @ C )
      | ~ ( p7 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(13,negated_conjecture,
    ! [A: $i] : ( p3 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).

thf(112,plain,
    ! [A: $i] : ( p3 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(59,negated_conjecture,
    ! [B: $i,A: $i] : ( p7 @ ( f8 @ ( f11 @ c54 @ ( f14 @ ( f17 @ c55 @ A ) @ ( f35 @ B @ A ) ) ) @ B ) @ B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_59) ).

thf(123,plain,
    ! [B: $i,A: $i] : ( p7 @ ( f8 @ ( f11 @ c54 @ ( f14 @ ( f17 @ c55 @ A ) @ ( f35 @ B @ A ) ) ) @ B ) @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(43,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p29 @ A @ B )
      | ~ ( p29 @ C @ A )
      | ~ ( p29 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_43) ).

thf(145,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p29 @ A @ B )
      | ~ ( p29 @ C @ A )
      | ~ ( p29 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(8,negated_conjecture,
    ! [A: $i] : ( p4 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_8) ).

thf(150,plain,
    ! [A: $i] : ( p4 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(20,negated_conjecture,
    ! [A: $i] : ( p2 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).

thf(95,plain,
    ! [A: $i] : ( p2 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(30,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p10 @ A @ B )
      | ~ ( p10 @ C @ A )
      | ~ ( p10 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_30) ).

thf(154,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p10 @ A @ B )
      | ~ ( p10 @ C @ A )
      | ~ ( p10 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(11,negated_conjecture,
    ! [A: $i] : ( p36 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36_11) ).

thf(143,plain,
    ! [A: $i] : ( p36 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(29,negated_conjecture,
    ~ ( p48 @ ( f38 @ ( f40 @ c59 @ c50 ) @ c58 ) @ c60 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p48_29) ).

thf(99,plain,
    ~ ( p48 @ ( f38 @ ( f40 @ c59 @ c50 ) @ c58 ) @ c60 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(10,negated_conjecture,
    ! [A: $i] : ( p37 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_10) ).

thf(87,plain,
    ! [A: $i] : ( p37 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(60,negated_conjecture,
    ! [B: $i,A: $i] : ( p4 @ ( f25 @ ( f28 @ c56 @ ( f31 @ ( f34 @ c57 @ A ) @ ( f32 @ B @ A ) ) ) @ B ) @ B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_60) ).

thf(104,plain,
    ! [B: $i,A: $i] : ( p4 @ ( f25 @ ( f28 @ c56 @ ( f31 @ ( f34 @ c57 @ A ) @ ( f32 @ B @ A ) ) ) @ B ) @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(79,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( p45 @ ( f20 @ c52 @ A ) @ B )
      | ~ ( p46 @ ( f23 @ c53 @ ( f35 @ B @ ( f42 @ ( f44 @ c62 @ B ) @ A ) ) ) @ ( f5 @ c49 @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_79) ).

thf(158,plain,
    ! [B: $i,A: $i] :
      ( ( p45 @ ( f20 @ c52 @ A ) @ B )
      | ~ ( p46 @ ( f23 @ c53 @ ( f35 @ B @ ( f42 @ ( f44 @ c62 @ B ) @ A ) ) ) @ ( f5 @ c49 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(73,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p22 @ ( f23 @ A @ B ) @ ( f23 @ C @ D ) )
      | ~ ( p13 @ B @ D )
      | ~ ( p21 @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_73) ).

thf(114,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p22 @ ( f23 @ A @ B ) @ ( f23 @ C @ D ) )
      | ~ ( p13 @ B @ D )
      | ~ ( p21 @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(50,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p19 @ A @ B )
      | ~ ( p19 @ C @ A )
      | ~ ( p19 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_50) ).

thf(139,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p19 @ A @ B )
      | ~ ( p19 @ C @ A )
      | ~ ( p19 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(32,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p7 @ A @ B )
      | ~ ( p7 @ C @ A )
      | ~ ( p7 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_32) ).

thf(119,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p7 @ A @ B )
      | ~ ( p7 @ C @ A )
      | ~ ( p7 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(69,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p30 @ ( f32 @ A @ B ) @ ( f32 @ C @ D ) )
      | ~ ( p13 @ B @ D )
      | ~ ( p4 @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_69) ).

thf(82,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p30 @ ( f32 @ A @ B ) @ ( f32 @ C @ D ) )
      | ~ ( p13 @ B @ D )
      | ~ ( p4 @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(75,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p16 @ ( f42 @ A @ B ) @ ( f42 @ C @ D ) )
      | ~ ( p3 @ B @ D )
      | ~ ( p41 @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_75) ).

thf(151,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p16 @ ( f42 @ A @ B ) @ ( f42 @ C @ D ) )
      | ~ ( p3 @ B @ D )
      | ~ ( p41 @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(40,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p36 @ A @ B )
      | ~ ( p36 @ C @ A )
      | ~ ( p36 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36_40) ).

thf(146,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p36 @ A @ B )
      | ~ ( p36 @ C @ A )
      | ~ ( p36 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(33,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p6 @ A @ B )
      | ~ ( p6 @ C @ A )
      | ~ ( p6 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_33) ).

thf(107,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p6 @ A @ B )
      | ~ ( p6 @ C @ A )
      | ~ ( p6 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(14,negated_conjecture,
    ! [A: $i] : ( p29 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_14) ).

thf(94,plain,
    ! [A: $i] : ( p29 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(12,negated_conjecture,
    ! [A: $i] : ( p33 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_12) ).

thf(126,plain,
    ! [A: $i] : ( p33 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(48,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p21 @ A @ B )
      | ~ ( p21 @ C @ A )
      | ~ ( p21 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_48) ).

thf(136,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p21 @ A @ B )
      | ~ ( p21 @ C @ A )
      | ~ ( p21 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(44,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p27 @ A @ B )
      | ~ ( p27 @ C @ A )
      | ~ ( p27 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_44) ).

thf(122,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p27 @ A @ B )
      | ~ ( p27 @ C @ A )
      | ~ ( p27 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(5,negated_conjecture,
    ! [A: $i] : ( p47 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_5) ).

thf(83,plain,
    ! [A: $i] : ( p47 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(61,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p10 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
      | ~ ( p12 @ A @ C )
      | ~ ( p13 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_61) ).

thf(100,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p10 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
      | ~ ( p12 @ A @ C )
      | ~ ( p13 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(24,negated_conjecture,
    ! [A: $i] : ( p15 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_24) ).

thf(90,plain,
    ! [A: $i] : ( p15 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(53,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p15 @ A @ B )
      | ~ ( p15 @ C @ A )
      | ~ ( p15 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_53) ).

thf(111,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p15 @ A @ B )
      | ~ ( p15 @ C @ A )
      | ~ ( p15 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(215,plain,
    $false,
    inference(e,[status(thm)],[129,118,127,131,138,101,88,115,120,142,153,110,125,157,93,152,106,121,84,147,132,116,89,133,117,85,102,160,137,92,97,156,141,109,124,96,134,128,105,148,161,149,144,86,159,113,98,103,140,91,155,108,130,135,162,112,123,145,150,95,154,143,99,87,104,158,114,139,119,82,151,146,107,94,126,136,122,83,100,90,111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN706-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n004.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu May 18 19:44:25 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.93/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.36/0.98  % [INFO] 	 Parsing done (128ms). 
% 1.36/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.84/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.84/1.18  % [INFO] 	 cvc4 registered as external prover. 
% 1.84/1.18  % [INFO] 	 Scanning for conjecture ... 
% 2.05/1.32  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 2.40/1.40  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.40/1.40  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.40/1.41  % [INFO] 	 Type checking passed. 
% 2.40/1.41  % [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 ... 
% 4.57/2.00  % External prover 'e' found a proof!
% 4.57/2.00  % [INFO] 	 Killing All external provers ... 
% 4.57/2.00  % Time passed: 1464ms (effective reasoning time: 1005ms)
% 4.57/2.00  % Solved by 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)>
% 4.57/2.00  % Axioms used in derivation (0): 
% 4.57/2.00  % No. of inferences in proof: 163
% 4.57/2.00  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1464 ms resp. 1005 ms w/o parsing
% 4.86/2.05  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.86/2.05  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------