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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SYN796-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n014.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 09:18:21 AM UTC 2026

% Result   : Unsatisfiable 6.18s 3.23s
% Output   : Refutation 6.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  105 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  631 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   6 avg)
%            Number of connectives : 1812 ( 422   ~; 526   |;   0   &; 864   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :  330 (   0   ^; 330   !;   0   ?; 330   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssRr_decl,type,
    ssRr: $i > $i > $o ).

thf(skf3_decl,type,
    skf3: $i > $i ).

thf(skf2_decl,type,
    skf2: $i > $i ).

thf(ssPv3_decl,type,
    ssPv3: $i > $o ).

thf(ssPv1_decl,type,
    ssPv1: $i > $o ).

thf(ssPv4_decl,type,
    ssPv4: $i > $o ).

thf(ssPv2_decl,type,
    ssPv2: $i > $o ).

thf(6,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( B @ ssPv1 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

thf(56,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( B @ ssPv1 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(49,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv2 )
      | ~ ( B @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv1 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

thf(84,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv2 )
      | ~ ( B @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv1 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(21,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( C @ ssPv2 )
      | ~ ( B @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

thf(70,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( C @ ssPv2 )
      | ~ ( B @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(5,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( B @ ssPv4 )
      | ( B @ ssPv1 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

thf(53,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ssPv4 )
      | ( B @ ssPv1 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(38,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( D @ ssPv4 )
      | ( A @ ssPv4 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

thf(73,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( D @ ssPv4 )
      | ( A @ ssPv4 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(25,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv1 )
      | ~ ( C @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

thf(64,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv1 )
      | ~ ( C @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(8,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( B @ ssPv1 )
      | ( C @ ssPv2 )
      | ( A @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

thf(59,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( B @ ssPv1 )
      | ( C @ ssPv2 )
      | ( A @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(22,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ( C @ ssPv1 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

thf(80,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ( C @ ssPv1 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(20,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv2 )
      | ( A @ ssPv3 )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

thf(67,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv2 )
      | ( A @ ssPv3 )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(28,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv2 )
      | ( A @ ssPv1 )
      | ~ ( C @ ssPv2 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

thf(72,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv2 )
      | ( A @ ssPv1 )
      | ~ ( C @ ssPv2 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(1,negated_conjecture,
    ! [A: $i] : ( A @ ( A @ skf3 @ ssRr ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

thf(55,plain,
    ! [A: $i] : ( A @ ( A @ skf3 @ ssRr ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(29,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ~ ( B @ ssPv4 )
      | ~ ( B @ ssPv3 )
      | ~ ( C @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

thf(69,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ~ ( B @ ssPv4 )
      | ~ ( B @ ssPv3 )
      | ~ ( C @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(51,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ~ ( B @ ssPv3 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

thf(101,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ~ ( B @ ssPv3 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(35,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv4 )
      | ( C @ ssPv2 )
      | ( A @ ssPv3 )
      | ~ ( B @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

thf(88,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv4 )
      | ( C @ ssPv2 )
      | ( A @ ssPv3 )
      | ~ ( B @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(31,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ~ ( B @ ssPv3 )
      | ~ ( B @ ssPv1 )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

thf(93,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ~ ( B @ ssPv3 )
      | ~ ( B @ ssPv1 )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(9,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv4 )
      | ( C @ ssPv1 )
      | ( A @ ssPv4 )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

thf(57,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv4 )
      | ( C @ ssPv1 )
      | ( A @ ssPv4 )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(32,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv1 )
      | ~ ( A @ ssPv3 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

thf(78,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv1 )
      | ~ ( A @ ssPv3 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(42,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( C @ ssPv4 )
      | ~ ( D @ ssPv4 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

thf(61,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( C @ ssPv4 )
      | ~ ( D @ ssPv4 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(48,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv3 )
      | ~ ( B @ ssPv4 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv2 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

thf(89,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv3 )
      | ~ ( B @ ssPv4 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv2 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(13,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ( C @ ssPv2 )
      | ( A @ ssPv4 )
      | ~ ( B @ ssPv3 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

thf(74,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ( C @ ssPv2 )
      | ( A @ ssPv4 )
      | ~ ( B @ ssPv3 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(4,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ( A @ ssPv2 )
      | ( B @ ssPv1 )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

thf(60,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ( A @ ssPv2 )
      | ( B @ ssPv1 )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(7,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ~ ( B @ ssPv4 )
      | ~ ( B @ ssPv1 )
      | ~ ( A @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

thf(85,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ~ ( B @ ssPv4 )
      | ~ ( B @ ssPv1 )
      | ~ ( A @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(19,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv3 )
      | ( B @ ssPv4 )
      | ~ ( A @ ssPv4 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

thf(102,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv3 )
      | ( B @ ssPv4 )
      | ~ ( A @ ssPv4 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(16,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ( A @ ssPv1 )
      | ( C @ ssPv4 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

thf(92,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ( A @ ssPv1 )
      | ( C @ ssPv4 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(52,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ssPv1 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv1 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

thf(65,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ssPv1 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv1 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(26,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ( A @ ssPv2 )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

thf(97,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ( A @ ssPv2 )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(17,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( B @ ssPv1 )
      | ( C @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

thf(77,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( B @ ssPv1 )
      | ( C @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(40,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( C @ ssPv4 )
      | ~ ( D @ ssPv2 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

thf(96,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( C @ ssPv4 )
      | ~ ( D @ ssPv2 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(33,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv1 )
      | ~ ( A @ ssPv2 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

thf(71,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv1 )
      | ~ ( A @ ssPv2 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(10,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv4 )
      | ( B @ ssPv3 )
      | ( C @ ssPv3 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

thf(54,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv4 )
      | ( B @ ssPv3 )
      | ( C @ ssPv3 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(39,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ( C @ ssPv1 )
      | ( A @ ssPv3 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

thf(86,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ( C @ ssPv1 )
      | ( A @ ssPv3 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(44,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( C @ ssPv3 )
      | ~ ( B @ ssPv2 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

thf(81,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( C @ ssPv3 )
      | ~ ( B @ ssPv2 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(45,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv1 )
      | ~ ( B @ ssPv2 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

thf(76,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv1 )
      | ~ ( B @ ssPv2 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(23,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv4 )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

thf(98,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv4 )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(47,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ~ ( B @ ssPv1 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

thf(103,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ~ ( B @ ssPv1 )
      | ~ ( D @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(50,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ~ ( D @ ssPv3 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

thf(91,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ~ ( D @ ssPv3 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(14,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ( C @ ssPv4 )
      | ( A @ ssPv1 )
      | ~ ( B @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

thf(66,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ( C @ ssPv4 )
      | ( A @ ssPv1 )
      | ~ ( B @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(37,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( D @ ssPv4 )
      | ( C @ ssPv4 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

thf(63,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( D @ ssPv4 )
      | ( C @ ssPv4 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(43,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv1 )
      | ~ ( A @ ssPv3 )
      | ~ ( D @ ( A @ ssRr ) )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

thf(95,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv1 )
      | ~ ( A @ ssPv3 )
      | ~ ( D @ ( A @ ssRr ) )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(36,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ( D @ ssPv2 )
      | ( C @ ssPv4 )
      | ~ ( D @ ( A @ ssRr ) )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

thf(99,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A @ ssPv3 )
      | ( D @ ssPv2 )
      | ( C @ ssPv4 )
      | ~ ( D @ ( A @ ssRr ) )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(3,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ( A @ ssPv3 )
      | ( A @ ssPv1 )
      | ( B @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

thf(87,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ( A @ ssPv3 )
      | ( A @ ssPv1 )
      | ( B @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(15,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv4 )
      | ( B @ ssPv1 )
      | ( C @ ssPv4 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

thf(104,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv4 )
      | ( B @ ssPv1 )
      | ( C @ ssPv4 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv3 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(41,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv1 )
      | ( C @ ssPv3 )
      | ~ ( B @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

thf(75,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ssPv1 )
      | ( C @ ssPv3 )
      | ~ ( B @ ssPv1 )
      | ~ ( D @ ( B @ ssRr ) )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(2,negated_conjecture,
    ! [A: $i] : ( A @ skf2 @ ( A @ ssRr ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

thf(58,plain,
    ! [A: $i] : ( A @ skf2 @ ( A @ ssRr ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(27,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ( A @ ssPv1 )
      | ~ ( B @ ssPv2 )
      | ~ ( C @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

thf(82,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv1 )
      | ( A @ ssPv1 )
      | ~ ( B @ ssPv2 )
      | ~ ( C @ ssPv4 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(34,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ssPv4 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

thf(79,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ssPv4 )
      | ~ ( A @ ssPv1 )
      | ~ ( C @ ssPv1 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(11,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ( A @ ssPv3 )
      | ( C @ ssPv2 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

thf(94,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ssPv4 )
      | ( A @ ssPv3 )
      | ( C @ ssPv2 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(46,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ~ ( D @ ssPv1 )
      | ~ ( B @ ( D @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

thf(68,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ~ ( D @ ssPv1 )
      | ~ ( B @ ( D @ ssRr ) )
      | ~ ( C @ ssPv3 )
      | ~ ( B @ ( C @ ssRr ) )
      | ~ ( A @ ssPv4 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(24,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv3 )
      | ~ ( C @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

thf(62,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv2 )
      | ( A @ ssPv2 )
      | ~ ( B @ ssPv3 )
      | ~ ( C @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(18,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv2 )
      | ( A @ ssPv4 )
      | ~ ( B @ ssPv3 )
      | ~ ( B @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

thf(90,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv2 )
      | ( A @ ssPv4 )
      | ~ ( B @ ssPv3 )
      | ~ ( B @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(12,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( B @ ssPv2 )
      | ( C @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

thf(83,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ ssPv3 )
      | ( B @ ssPv2 )
      | ( C @ ssPv2 )
      | ~ ( C @ ( B @ ssRr ) )
      | ~ ( A @ ssPv2 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(30,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv4 )
      | ~ ( A @ ssPv3 )
      | ~ ( A @ ssPv2 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

thf(100,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ssPv4 )
      | ~ ( A @ ssPv3 )
      | ~ ( A @ ssPv2 )
      | ~ ( C @ ( A @ ssRr ) )
      | ~ ( B @ ssPv1 )
      | ~ ( B @ ( A @ ssRr ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(163,plain,
    $false,
    inference(e,[status(thm)],[56,84,70,53,73,64,59,80,67,72,55,69,101,88,93,57,78,61,89,74,60,85,102,92,65,97,77,96,71,54,86,81,76,98,103,91,66,63,95,99,87,104,75,58,82,79,94,68,62,90,83,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN796-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.60  % Computer : n014.cluster.edu
% 0.13/0.60  % Model    : x86_64 x86_64
% 0.13/0.60  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.60  % Memory   : 8046.5625MB
% 0.13/0.60  % OS       : Linux 6.8.0-71-generic
% 0.13/0.60  % CPULimit : 300
% 0.13/0.60  % WCLimit  : 300
% 0.13/0.60  % DateTime : Sat Sep 26 18:31:02 UTC 2026
% 0.13/0.60  % CPUTime  : 
% 0.13/0.60  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.91/1.19  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.44/1.43  % [INFO] 	 Parsing done (242ms). 
% 1.44/1.45  % [INFO] 	 Running in sequential loop mode. 
% 2.16/1.85  % [INFO] 	 eprover registered as external prover. 
% 2.16/1.86  % [INFO] 	 Scanning for conjecture ... 
% 2.68/2.06  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.94/2.19  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.94/2.20  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.13/2.20  % [INFO] 	 Type checking passed. 
% 3.13/2.21  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 6.18/3.22  % External prover 'e' found a proof!
% 6.18/3.22  % [INFO] 	 Killing All external provers ... 
% 6.18/3.22  % Time passed: 2475ms (effective reasoning time: 1770ms)
% 6.18/3.23  % Axioms used in derivation (0): 
% 6.18/3.23  % No. of inferences in proof: 105
% 6.18/3.23  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2475 ms resp. 1770 ms w/o parsing
% 6.48/3.31  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.48/3.31  % [INFO] 	 Killing All external provers ... 
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