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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SYN616-1 : 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 : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 09:17:59 AM UTC 2026

% Result   : Unsatisfiable 10.49s 19.13s
% Output   : Refutation 10.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  127 (  47 unt;   0 typ;   0 def)
%            Number of atoms       :  349 (  47 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives : 1734 ( 191   ~; 162   |;   0   &;1381   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  27 usr;  11 con; 0-3 aty)
%            Number of variables   :  220 (   0   ^; 220   !;   0   ?; 220   :)

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

thf(c28_decl,type,
    c28: $i ).

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

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

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

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

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

thf(c26_decl,type,
    c26: $i ).

thf(c27_decl,type,
    c27: $i ).

thf(c25_decl,type,
    c25: $i ).

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

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

thf(f3_decl,type,
    f3: $i > $i ).

thf(f4_decl,type,
    f4: $i > $i ).

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

thf(c20_decl,type,
    c20: $i ).

thf(c21_decl,type,
    c21: $i ).

thf(f6_decl,type,
    f6: $i > $i ).

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

thf(c23_decl,type,
    c23: $i ).

thf(c24_decl,type,
    c24: $i ).

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

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

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

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

thf(c22_decl,type,
    c22: $i ).

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

thf(12,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ p2 ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

thf(41,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ p2 ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(69,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ p2 ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(cnf,[status(esa)],[41]) ).

thf(26,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p2 ) )
      | ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_26) ).

thf(61,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p2 ) )
      | ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(31,negated_conjecture,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( E @ ( F @ p14 ) ) )
      | ~ ( A @ ( F @ p2 ) )
      | ~ ( B @ ( E @ p2 ) )
      | ~ ( C @ ( D @ p2 ) )
      | ( C @ ( B @ ( A @ p14 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_31) ).

thf(60,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( E @ ( F @ p14 ) ) )
      | ~ ( A @ ( F @ p2 ) )
      | ~ ( B @ ( E @ p2 ) )
      | ~ ( C @ ( D @ p2 ) )
      | ( C @ ( B @ ( A @ p14 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(17,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_17) ).

thf(56,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(65,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p2 ) ) ),
    inference(cnf,[status(esa)],[56]) ).

thf(28,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p2 ) )
      | ~ ( D @ ( B @ p2 ) )
      | ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).

thf(53,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ p2 ) )
      | ~ ( D @ ( B @ p2 ) )
      | ( D @ ( C @ f7 ) @ ( B @ ( A @ f7 ) @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(8,negated_conjecture,
    ~ ( c27 @ ( c25 @ p15 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_8) ).

thf(46,plain,
    ~ ( c27 @ ( c25 @ p15 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(73,plain,
    ~ ( c27 @ ( c25 @ p15 ) ),
    inference(polarity_switch,[status(thm)],[46]) ).

thf(14,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ p2 ) )
      | ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

thf(35,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ p2 ) )
      | ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(67,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( E @ ( F @ p14 ) ) )
      | ~ ( A @ ( F @ p2 ) )
      | ~ ( B @ ( E @ p2 ) )
      | ~ ( C @ ( D @ p2 ) )
      | ( C @ ( B @ ( A @ p14 ) ) ) ),
    inference(cnf,[status(esa)],[60]) ).

thf(30,negated_conjecture,
    ~ ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_30) ).

thf(63,plain,
    ~ ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(82,plain,
    ~ ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) ),
    inference(polarity_switch,[status(thm)],[63]) ).

thf(89,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( B @ ( A @ p14 ) ) )
       != ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) ) )
      | ~ $true
      | ~ ( D @ ( E @ ( F @ p14 ) ) )
      | ~ ( A @ ( F @ p2 ) )
      | ~ ( B @ ( E @ p2 ) )
      | ~ ( C @ ( D @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[67,82]) ).

thf(90,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( B @ ( A @ p14 ) ) )
       != ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) ) )
      | ~ ( D @ ( E @ ( F @ p14 ) ) )
      | ~ ( A @ ( F @ p2 ) )
      | ~ ( B @ ( E @ p2 ) )
      | ~ ( C @ ( D @ p2 ) ) ),
    inference(simp,[status(thm)],[89]) ).

thf(91,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( B @ ( C @ p14 ) ) )
      | ~ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ ( C @ p2 ) )
      | ~ ( c20 @ f5 @ f3 @ ( B @ p2 ) )
      | ~ ( c21 @ f6 @ ( A @ p2 ) ) ),
    inference(pattern_uni,[status(thm)],[90:[bind(A,$thf( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) )),bind(B,$thf( c20 @ f5 @ f3 )),bind(C,$thf( c21 @ f6 )),bind(D,$thf( D )),bind(E,$thf( E )),bind(F,$thf( F ))]]) ).

thf(112,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( B @ ( C @ p14 ) ) )
      | ~ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ ( C @ p2 ) )
      | ~ ( c20 @ f5 @ f3 @ ( B @ p2 ) )
      | ~ ( c21 @ f6 @ ( A @ p2 ) ) ),
    inference(simp,[status(thm)],[91]) ).

thf(3,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p9 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_3) ).

thf(43,plain,
    ! [A: $i] : ( A @ ( A @ p9 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(7,negated_conjecture,
    c28 @ ( c25 @ p2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

thf(42,plain,
    c28 @ ( c25 @ p2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(225,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c28 @ ( c25 @ p2 ) )
       != ( B @ ( C @ p2 ) ) )
      | ~ $true
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[42,65]) ).

thf(226,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c28 @ ( c25 @ p2 ) )
       != ( B @ ( C @ p2 ) ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p2 ) ) ),
    inference(simp,[status(thm)],[225]) ).

thf(227,plain,
    ! [A: $i] :
      ( ~ ( A @ ( c25 @ p2 ) )
      | ( c28 @ ( A @ p2 ) ) ),
    inference(pattern_uni,[status(thm)],[226:[bind(A,$thf( A )),bind(B,$thf( c28 )),bind(C,$thf( c25 ))]]) ).

thf(25,negated_conjecture,
    c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) @ p14 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_25) ).

thf(50,plain,
    c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) @ p14 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(138,plain,
    ( ( ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) )
     != ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) @ p14 ) ) ) )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[50,82]) ).

thf(139,plain,
    ( ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) )
   != ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) @ p14 ) ) ) ),
    inference(simp,[status(thm)],[138]) ).

thf(143,plain,
    ( ( ( c21 @ f6 )
     != ( c21 @ f6 ) )
    | ( ( c20 @ f5 @ f3 )
     != ( c20 @ f5 @ f3 ) )
    | ( ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) )
     != ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) ) ) ),
    inference(simp,[status(thm)],[139]) ).

thf(144,plain,
    ( ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) )
   != ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) ) ),
    inference(simp,[status(thm)],[143]) ).

thf(152,plain,
    ( ( ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) )
     != ( c20 @ f5 @ f3 @ ( c21 @ f8 ) ) )
    | ( c22 != c22 ) ),
    inference(simp,[status(thm)],[144]) ).

thf(153,plain,
    ( ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) )
   != ( c20 @ f5 @ f3 @ ( c21 @ f8 ) ) ),
    inference(simp,[status(thm)],[152]) ).

thf(163,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ ( c25 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[42,69]) ).

thf(164,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ ( c25 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[163]) ).

thf(165,plain,
    c28 @ f3 @ ( c25 @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[164:[bind(A,$thf( c25 )),bind(B,$thf( c28 ))]]) ).

thf(179,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ ( c25 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[165,69]) ).

thf(180,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ ( c25 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[179]) ).

thf(181,plain,
    c28 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[180:[bind(A,$thf( c25 @ f3 )),bind(B,$thf( c28 @ f3 ))]]) ).

thf(255,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[181,69]) ).

thf(256,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[255]) ).

thf(257,plain,
    c28 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[256:[bind(A,$thf( c25 @ f3 @ f3 )),bind(B,$thf( c28 @ f3 @ f3 ))]]) ).

thf(277,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[257,69]) ).

thf(278,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[277]) ).

thf(279,plain,
    c28 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[278:[bind(A,$thf( c25 @ f3 @ f3 @ f3 )),bind(B,$thf( c28 @ f3 @ f3 @ f3 ))]]) ).

thf(299,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[279,69]) ).

thf(300,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[299]) ).

thf(301,plain,
    c28 @ f3 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[300:[bind(A,$thf( c25 @ f3 @ f3 @ f3 @ f3 )),bind(B,$thf( c28 @ f3 @ f3 @ f3 @ f3 ))]]) ).

thf(6,negated_conjecture,
    c27 @ ( c26 @ p19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_6) ).

thf(37,plain,
    c27 @ ( c26 @ p19 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(29,negated_conjecture,
    c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c25 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_29) ).

thf(52,plain,
    c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c25 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(321,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[301,69]) ).

thf(322,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[321]) ).

thf(323,plain,
    c28 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[322:[bind(A,$thf( c25 @ f3 @ f3 @ f3 @ f3 @ f3 )),bind(B,$thf( c28 @ f3 @ f3 @ f3 @ f3 @ f3 ))]]) ).

thf(568,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[323,69]) ).

thf(569,plain,
    ! [B: $i,A: $i] :
      ( ( ( c28 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[568]) ).

thf(570,plain,
    c28 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ ( c25 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[569:[bind(A,$thf( c25 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 )),bind(B,$thf( c28 @ f3 @ f3 @ f3 @ f3 @ f3 @ f3 ))]]) ).

thf(145,plain,
    ( ( ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c25 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) )
     != ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) ) )
    | ~ $true ),
    inference(paramod_ordered,[status(thm)],[52,82]) ).

thf(146,plain,
    ( ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c25 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) )
   != ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ p14 ) ) ) ),
    inference(simp,[status(thm)],[145]) ).

thf(150,plain,
    ( ( ( c21 @ f6 )
     != ( c21 @ f6 ) )
    | ( ( c20 @ f5 @ f3 )
     != ( c20 @ f5 @ f3 ) )
    | ( ( c25 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) )
     != ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) ) ) ),
    inference(simp,[status(thm)],[146]) ).

thf(151,plain,
    ( ( c25 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) )
   != ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) ) ),
    inference(simp,[status(thm)],[150]) ).

thf(343,plain,
    ( ( ( c25 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) )
     != ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) ) )
    | ( c22 != c22 ) ),
    inference(simp,[status(thm)],[151]) ).

thf(344,plain,
    ( ( c25 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) )
   != ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) ) ),
    inference(simp,[status(thm)],[343]) ).

thf(22,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p10 ) )
      | ~ ( D @ ( C @ p19 ) )
      | ~ ( A @ ( C @ p18 ) )
      | ( B @ ( A @ p19 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_22) ).

thf(57,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p10 ) )
      | ~ ( D @ ( C @ p19 ) )
      | ~ ( A @ ( C @ p18 ) )
      | ( B @ ( A @ p19 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(19,negated_conjecture,
    c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ p2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).

thf(64,plain,
    c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ p2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(157,plain,
    ! [B: $i,A: $i] :
      ( ( ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[64,69]) ).

thf(158,plain,
    ! [B: $i,A: $i] :
      ( ( ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[157]) ).

thf(159,plain,
    c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f3 @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[158:[bind(A,$thf( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) )),bind(B,$thf( c20 @ f5 @ f3 @ ( c21 @ f8 ) ))]]) ).

thf(347,plain,
    ! [B: $i,A: $i] :
      ( ( ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f3 @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[159,69]) ).

thf(348,plain,
    ! [B: $i,A: $i] :
      ( ( ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f3 @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[347]) ).

thf(349,plain,
    c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f3 @ f3 @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ f3 @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[348:[bind(A,$thf( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ f3 )),bind(B,$thf( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f3 ))]]) ).

thf(9,negated_conjecture,
    c21 @ ( c20 @ f5 @ f4 @ f3 @ p13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_9) ).

thf(38,plain,
    c21 @ ( c20 @ f5 @ f4 @ f3 @ p13 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(5,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p18 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_5) ).

thf(33,plain,
    ! [A: $i] : ( A @ ( A @ p18 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(10,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p2 ) )
      | ~ ( B @ p17 )
      | ( A @ p17 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_10) ).

thf(34,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p2 ) )
      | ~ ( B @ p17 )
      | ( A @ p17 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(11,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ p2 ) )
      | ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

thf(45,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ p2 ) )
      | ( B @ f6 @ ( A @ f6 @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(18,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p18 ) )
      | ~ ( A @ ( C @ p18 ) )
      | ( B @ ( A @ p18 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_18) ).

thf(44,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p18 ) )
      | ~ ( A @ ( C @ p18 ) )
      | ( B @ ( A @ p18 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(16,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_16) ).

thf(59,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p9 ) )
      | ~ ( A @ ( C @ p9 ) )
      | ( B @ ( A @ p9 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(21,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ p13 ) )
      | ~ ( B @ ( D @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p13 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_21) ).

thf(54,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ p13 ) )
      | ~ ( B @ ( D @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p13 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(24,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p10 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ~ ( D @ ( C @ p15 ) )
      | ( B @ ( A @ p15 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_24) ).

thf(49,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ p10 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ~ ( D @ ( C @ p15 ) )
      | ( B @ ( A @ p15 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(602,plain,
    ! [B: $i,A: $i] :
      ( ( ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f3 @ f3 @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ~ $true
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[349,69]) ).

thf(603,plain,
    ! [B: $i,A: $i] :
      ( ( ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f3 @ f3 @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ f3 @ f3 @ p2 ) )
       != ( B @ ( A @ p2 ) ) )
      | ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
    inference(simp,[status(thm)],[602]) ).

thf(604,plain,
    c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f3 @ f3 @ f3 @ ( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ f3 @ f3 @ f3 @ p2 ),
    inference(pattern_uni,[status(thm)],[603:[bind(A,$thf( c20 @ f5 @ f3 @ ( c24 @ ( c23 @ f11 ) ) @ f3 @ f3 )),bind(B,$thf( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f3 @ f3 ))]]) ).

thf(13,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ p2 ) )
      | ( B @ f4 @ ( A @ f4 @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).

thf(39,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ p2 ) )
      | ( B @ f4 @ ( A @ f4 @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(66,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p2 ) )
      | ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p2 ) ) ),
    inference(cnf,[status(esa)],[61]) ).

thf(15,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p10 ) )
      | ~ ( A @ ( C @ p10 ) )
      | ( B @ ( A @ p10 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_15) ).

thf(48,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( C @ p10 ) )
      | ~ ( A @ ( C @ p10 ) )
      | ( B @ ( A @ p10 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(776,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) @ p14 ) ) )
       != ( A @ ( B @ ( C @ p14 ) ) ) )
      | ~ $true
      | ~ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ ( C @ p2 ) )
      | ~ ( c20 @ f5 @ f3 @ ( B @ p2 ) )
      | ~ ( c21 @ f6 @ ( A @ p2 ) ) ),
    inference(paramod_ordered,[status(thm)],[50,112]) ).

thf(777,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c21 @ f6 @ ( c20 @ f5 @ f3 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) @ p14 ) ) )
       != ( A @ ( B @ ( C @ p14 ) ) ) )
      | ~ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ ( C @ p2 ) )
      | ~ ( c20 @ f5 @ f3 @ ( B @ p2 ) )
      | ~ ( c21 @ f6 @ ( A @ p2 ) ) ),
    inference(simp,[status(thm)],[776]) ).

thf(778,plain,
    ( ~ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) @ p2 ) )
    | ~ ( c20 @ f5 @ f3 @ ( c20 @ f5 @ f3 @ p2 ) )
    | ~ ( c21 @ f6 @ ( c21 @ f6 @ p2 ) ) ),
    inference(pattern_uni,[status(thm)],[777:[bind(A,$thf( c21 @ f6 )),bind(B,$thf( c20 @ f5 @ f3 )),bind(C,$thf( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) ))]]) ).

thf(4,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

thf(47,plain,
    ! [A: $i] : ( A @ ( A @ p2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(871,plain,
    ( ~ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) @ p2 ) )
    | ~ $true
    | ~ $true ),
    inference(rewrite,[status(thm)],[778,47]) ).

thf(872,plain,
    ~ ( c28 @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ f12 ) @ ( c22 @ f7 ) @ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( c22 @ f7 ) @ p2 ) ),
    inference(simp,[status(thm)],[871]) ).

thf(2,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ p10 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_2) ).

thf(40,plain,
    ! [A: $i] : ( A @ ( A @ p10 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(32,negated_conjecture,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( E @ ( B @ p10 ) )
      | ~ ( D @ ( A @ p9 ) )
      | ~ ( F @ ( C @ p2 ) )
      | ( F @ ( E @ ( D @ f11 ) ) @ ( C @ ( B @ ( A @ f11 ) ) @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_32) ).

thf(55,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( E @ ( B @ p10 ) )
      | ~ ( D @ ( A @ p9 ) )
      | ~ ( F @ ( C @ p2 ) )
      | ( F @ ( E @ ( D @ f11 ) ) @ ( C @ ( B @ ( A @ f11 ) ) @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(27,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p2 ) )
      | ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_27) ).

thf(58,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ p2 ) )
      | ~ ( C @ ( A @ p2 ) )
      | ( D @ ( C @ f12 ) @ ( B @ ( A @ f12 ) @ p2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(345,plain,
    ( ( c25 != c28 )
    | ( ( c20 @ f5 @ f3 @ ( c21 @ f8 ) )
     != ( c20 @ f5 @ f3 @ ( c21 @ f8 ) ) ) ),
    inference(simp,[status(thm)],[344]) ).

thf(346,plain,
    c25 != c28,
    inference(simp,[status(thm)],[345]) ).

thf(1,negated_conjecture,
    c28 @ p17,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c28_is_p17_1) ).

thf(36,plain,
    c28 @ p17,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(20,negated_conjecture,
    ! [A: $i] :
      ( ~ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( A @ p16 ) )
      | ~ ( A @ p17 )
      | ( c24 @ ( A @ p15 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_20) ).

thf(51,plain,
    ! [A: $i] :
      ( ~ ( c20 @ f5 @ f3 @ ( c21 @ f8 ) @ ( A @ p16 ) )
      | ~ ( A @ p17 )
      | ( c24 @ ( A @ p15 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(23,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ p16 ) )
      | ~ ( B @ ( D @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p16 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).

thf(62,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ p16 ) )
      | ~ ( B @ ( D @ p2 ) )
      | ~ ( A @ ( C @ p2 ) )
      | ( B @ ( A @ p16 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(1090,plain,
    $false,
    inference(e,[status(thm)],[69,61,60,65,53,41,73,35,112,43,227,56,153,42,301,37,257,52,570,344,46,57,349,38,165,33,34,45,279,64,44,59,54,144,49,181,159,604,39,323,66,48,63,872,50,67,40,55,58,346,82,151,36,51,47,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07  % 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
% 0.12/15.42  % Computer : n020.cluster.edu
% 0.12/15.42  % Model    : x86_64 x86_64
% 0.12/15.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.42  % Memory   : 8046.5625MB
% 0.12/15.42  % OS       : Linux 6.8.0-71-generic
% 0.12/15.42  % CPULimit : 300
% 0.12/15.42  % WCLimit  : 300
% 0.12/15.42  % DateTime : Sat Sep 26 18:17:04 UTC 2026
% 0.12/15.42  % CPUTime  : 
% 0.12/15.42  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
% 0.17/16.00  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.31/16.21  % [INFO] 	 Parsing done (204ms). 
% 1.31/16.22  % [INFO] 	 Running in sequential loop mode. 
% 1.94/16.62  % [INFO] 	 eprover registered as external prover. 
% 1.94/16.63  % [INFO] 	 Scanning for conjecture ... 
% 2.11/16.78  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.30/16.87  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.30/16.87  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.30/16.88  % [INFO] 	 Type checking passed. 
% 2.30/16.88  % [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 ... 
% 11.54/19.12  % External prover 'e' found a proof!
% 11.54/19.13  % [INFO] 	 Killing All external provers ... 
% 11.54/19.13  % Time passed: 3564ms (effective reasoning time: 2897ms)
% 10.49/19.13  % Axioms used in derivation (0): 
% 10.49/19.13  % No. of inferences in proof: 127
% 10.49/19.13  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3564 ms resp. 2897 ms w/o parsing
% 10.76/19.22  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.76/19.22  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------