%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU904^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : Wed Sep 30 08:29:34 AM UTC 2026
% Result : Theorem 204.89s 166.22s
% Output : Refutation 205.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 16
% Syntax : Number of formulae : 156 ( 23 unt; 0 typ; 15 def)
% Number of atoms : 747 ( 133 equ; 0 cnn)
% Maximal formula atoms : 61 ( 4 avg)
% Number of connectives : 2700 ( 309 ~; 337 |; 234 &;1670 @)
% ( 0 <=>; 150 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 87 ( 87 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 380 ( 0 ^; 365 !; 0 ?; 380 :)
% ( 0 !>; 0 ?*; 0 @-; 15 @+)
% Comments :
%------------------------------------------------------------------------------
thf(g_type,type,
g: $tType ).
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(sk1_decl,type,
sk1: g > b ).
thf(sk2_decl,type,
sk2: b > a ).
thf(sk3_decl,type,
sk3: g > $o ).
thf(sk4_decl,type,
sk4: g > g > g ).
thf(sk5_decl,type,
sk5: b > $o ).
thf(sk6_decl,type,
sk6: b > b > b ).
thf(sk7_decl,type,
sk7: a > $o ).
thf(sk8_decl,type,
sk8: a > a > a ).
thf(sk9_decl,type,
sk9: $o ).
thf(sk10_decl,type,
sk10: g ).
thf(sk11_decl,type,
sk11: g ).
thf(sk12_decl,type,
sk12: $o ).
thf(sk13_decl,type,
sk13: a ).
thf(sk14_decl,type,
sk14: a ).
thf(sk15_decl,type,
sk15: g ).
thf(sk16_decl,type,
sk16: g ).
thf(sk17_decl,type,
sk17: g ).
thf(sk1_def,definition,
( sk1
= ( @+[A: g > b] :
~ ! [B: b > a,C: g > $o,D: g > g > g,E: b > $o,F: b > b > b,G: a > $o,H: a > a > a] :
( ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( E @ ( A @ I ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( A @ ( D @ I @ J ) )
= ( F @ ( A @ I ) @ ( A @ J ) ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: b] :
( ( E @ I )
=> ( G @ ( B @ I ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( ( B @ ( F @ I @ J ) )
= ( H @ ( B @ I ) @ ( B @ J ) ) ) ) )
=> ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( G @ ( B @ ( A @ I ) ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( B @ ( A @ ( D @ I @ J ) ) )
= ( H @ ( B @ ( A @ I ) ) @ ( B @ ( A @ J ) ) ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: b > a] :
~ ! [B: g > $o,C: g > g > g,D: b > $o,E: b > b > b,F: a > $o,G: a > a > a] :
( ( ! [H: g,I: g] :
( ( ( B @ H )
& ( B @ I ) )
=> ( B @ ( C @ H @ I ) ) )
& ! [H: b,I: b] :
( ( ( D @ H )
& ( D @ I ) )
=> ( D @ ( E @ H @ I ) ) )
& ! [H: g] :
( ( B @ H )
=> ( D @ ( sk1 @ H ) ) )
& ! [H: g,I: g] :
( ( ( B @ H )
& ( B @ I ) )
=> ( ( sk1 @ ( C @ H @ I ) )
= ( E @ ( sk1 @ H ) @ ( sk1 @ I ) ) ) )
& ! [H: b,I: b] :
( ( ( D @ H )
& ( D @ I ) )
=> ( D @ ( E @ H @ I ) ) )
& ! [H: a,I: a] :
( ( ( F @ H )
& ( F @ I ) )
=> ( F @ ( G @ H @ I ) ) )
& ! [H: b] :
( ( D @ H )
=> ( F @ ( A @ H ) ) )
& ! [H: b,I: b] :
( ( ( D @ H )
& ( D @ I ) )
=> ( ( A @ ( E @ H @ I ) )
= ( G @ ( A @ H ) @ ( A @ I ) ) ) ) )
=> ( ! [H: g,I: g] :
( ( ( B @ H )
& ( B @ I ) )
=> ( B @ ( C @ H @ I ) ) )
& ! [H: a,I: a] :
( ( ( F @ H )
& ( F @ I ) )
=> ( F @ ( G @ H @ I ) ) )
& ! [H: g] :
( ( B @ H )
=> ( F @ ( A @ ( sk1 @ H ) ) ) )
& ! [H: g,I: g] :
( ( ( B @ H )
& ( B @ I ) )
=> ( ( A @ ( sk1 @ ( C @ H @ I ) ) )
= ( G @ ( A @ ( sk1 @ H ) ) @ ( A @ ( sk1 @ I ) ) ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: g > $o] :
~ ! [B: g > g > g,C: b > $o,D: b > b > b,E: a > $o,F: a > a > a] :
( ( ! [G: g,H: g] :
( ( ( A @ G )
& ( A @ H ) )
=> ( A @ ( B @ G @ H ) ) )
& ! [G: b,H: b] :
( ( ( C @ G )
& ( C @ H ) )
=> ( C @ ( D @ G @ H ) ) )
& ! [G: g] :
( ( A @ G )
=> ( C @ ( sk1 @ G ) ) )
& ! [G: g,H: g] :
( ( ( A @ G )
& ( A @ H ) )
=> ( ( sk1 @ ( B @ G @ H ) )
= ( D @ ( sk1 @ G ) @ ( sk1 @ H ) ) ) )
& ! [G: b,H: b] :
( ( ( C @ G )
& ( C @ H ) )
=> ( C @ ( D @ G @ H ) ) )
& ! [G: a,H: a] :
( ( ( E @ G )
& ( E @ H ) )
=> ( E @ ( F @ G @ H ) ) )
& ! [G: b] :
( ( C @ G )
=> ( E @ ( sk2 @ G ) ) )
& ! [G: b,H: b] :
( ( ( C @ G )
& ( C @ H ) )
=> ( ( sk2 @ ( D @ G @ H ) )
= ( F @ ( sk2 @ G ) @ ( sk2 @ H ) ) ) ) )
=> ( ! [G: g,H: g] :
( ( ( A @ G )
& ( A @ H ) )
=> ( A @ ( B @ G @ H ) ) )
& ! [G: a,H: a] :
( ( ( E @ G )
& ( E @ H ) )
=> ( E @ ( F @ G @ H ) ) )
& ! [G: g] :
( ( A @ G )
=> ( E @ ( sk2 @ ( sk1 @ G ) ) ) )
& ! [G: g,H: g] :
( ( ( A @ G )
& ( A @ H ) )
=> ( ( sk2 @ ( sk1 @ ( B @ G @ H ) ) )
= ( F @ ( sk2 @ ( sk1 @ G ) ) @ ( sk2 @ ( sk1 @ H ) ) ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: g > g > g] :
~ ! [B: b > $o,C: b > b > b,D: a > $o,E: a > a > a] :
( ( ! [F: g,G: g] :
( ( ( sk3 @ F )
& ( sk3 @ G ) )
=> ( sk3 @ ( A @ F @ G ) ) )
& ! [F: b,G: b] :
( ( ( B @ F )
& ( B @ G ) )
=> ( B @ ( C @ F @ G ) ) )
& ! [F: g] :
( ( sk3 @ F )
=> ( B @ ( sk1 @ F ) ) )
& ! [F: g,G: g] :
( ( ( sk3 @ F )
& ( sk3 @ G ) )
=> ( ( sk1 @ ( A @ F @ G ) )
= ( C @ ( sk1 @ F ) @ ( sk1 @ G ) ) ) )
& ! [F: b,G: b] :
( ( ( B @ F )
& ( B @ G ) )
=> ( B @ ( C @ F @ G ) ) )
& ! [F: a,G: a] :
( ( ( D @ F )
& ( D @ G ) )
=> ( D @ ( E @ F @ G ) ) )
& ! [F: b] :
( ( B @ F )
=> ( D @ ( sk2 @ F ) ) )
& ! [F: b,G: b] :
( ( ( B @ F )
& ( B @ G ) )
=> ( ( sk2 @ ( C @ F @ G ) )
= ( E @ ( sk2 @ F ) @ ( sk2 @ G ) ) ) ) )
=> ( ! [F: g,G: g] :
( ( ( sk3 @ F )
& ( sk3 @ G ) )
=> ( sk3 @ ( A @ F @ G ) ) )
& ! [F: a,G: a] :
( ( ( D @ F )
& ( D @ G ) )
=> ( D @ ( E @ F @ G ) ) )
& ! [F: g] :
( ( sk3 @ F )
=> ( D @ ( sk2 @ ( sk1 @ F ) ) ) )
& ! [F: g,G: g] :
( ( ( sk3 @ F )
& ( sk3 @ G ) )
=> ( ( sk2 @ ( sk1 @ ( A @ F @ G ) ) )
= ( E @ ( sk2 @ ( sk1 @ F ) ) @ ( sk2 @ ( sk1 @ G ) ) ) ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: b > $o] :
~ ! [B: b > b > b,C: a > $o,D: a > a > a] :
( ( ! [E: g,F: g] :
( ( ( sk3 @ E )
& ( sk3 @ F ) )
=> ( sk3 @ ( sk4 @ E @ F ) ) )
& ! [E: b,F: b] :
( ( ( A @ E )
& ( A @ F ) )
=> ( A @ ( B @ E @ F ) ) )
& ! [E: g] :
( ( sk3 @ E )
=> ( A @ ( sk1 @ E ) ) )
& ! [E: g,F: g] :
( ( ( sk3 @ E )
& ( sk3 @ F ) )
=> ( ( sk1 @ ( sk4 @ E @ F ) )
= ( B @ ( sk1 @ E ) @ ( sk1 @ F ) ) ) )
& ! [E: b,F: b] :
( ( ( A @ E )
& ( A @ F ) )
=> ( A @ ( B @ E @ F ) ) )
& ! [E: a,F: a] :
( ( ( C @ E )
& ( C @ F ) )
=> ( C @ ( D @ E @ F ) ) )
& ! [E: b] :
( ( A @ E )
=> ( C @ ( sk2 @ E ) ) )
& ! [E: b,F: b] :
( ( ( A @ E )
& ( A @ F ) )
=> ( ( sk2 @ ( B @ E @ F ) )
= ( D @ ( sk2 @ E ) @ ( sk2 @ F ) ) ) ) )
=> ( ! [E: g,F: g] :
( ( ( sk3 @ E )
& ( sk3 @ F ) )
=> ( sk3 @ ( sk4 @ E @ F ) ) )
& ! [E: a,F: a] :
( ( ( C @ E )
& ( C @ F ) )
=> ( C @ ( D @ E @ F ) ) )
& ! [E: g] :
( ( sk3 @ E )
=> ( C @ ( sk2 @ ( sk1 @ E ) ) ) )
& ! [E: g,F: g] :
( ( ( sk3 @ E )
& ( sk3 @ F ) )
=> ( ( sk2 @ ( sk1 @ ( sk4 @ E @ F ) ) )
= ( D @ ( sk2 @ ( sk1 @ E ) ) @ ( sk2 @ ( sk1 @ F ) ) ) ) ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: b > b > b] :
~ ! [B: a > $o,C: a > a > a] :
( ( ! [D: g,E: g] :
( ( ( sk3 @ D )
& ( sk3 @ E ) )
=> ( sk3 @ ( sk4 @ D @ E ) ) )
& ! [D: b,E: b] :
( ( ( sk5 @ D )
& ( sk5 @ E ) )
=> ( sk5 @ ( A @ D @ E ) ) )
& ! [D: g] :
( ( sk3 @ D )
=> ( sk5 @ ( sk1 @ D ) ) )
& ! [D: g,E: g] :
( ( ( sk3 @ D )
& ( sk3 @ E ) )
=> ( ( sk1 @ ( sk4 @ D @ E ) )
= ( A @ ( sk1 @ D ) @ ( sk1 @ E ) ) ) )
& ! [D: b,E: b] :
( ( ( sk5 @ D )
& ( sk5 @ E ) )
=> ( sk5 @ ( A @ D @ E ) ) )
& ! [D: a,E: a] :
( ( ( B @ D )
& ( B @ E ) )
=> ( B @ ( C @ D @ E ) ) )
& ! [D: b] :
( ( sk5 @ D )
=> ( B @ ( sk2 @ D ) ) )
& ! [D: b,E: b] :
( ( ( sk5 @ D )
& ( sk5 @ E ) )
=> ( ( sk2 @ ( A @ D @ E ) )
= ( C @ ( sk2 @ D ) @ ( sk2 @ E ) ) ) ) )
=> ( ! [D: g,E: g] :
( ( ( sk3 @ D )
& ( sk3 @ E ) )
=> ( sk3 @ ( sk4 @ D @ E ) ) )
& ! [D: a,E: a] :
( ( ( B @ D )
& ( B @ E ) )
=> ( B @ ( C @ D @ E ) ) )
& ! [D: g] :
( ( sk3 @ D )
=> ( B @ ( sk2 @ ( sk1 @ D ) ) ) )
& ! [D: g,E: g] :
( ( ( sk3 @ D )
& ( sk3 @ E ) )
=> ( ( sk2 @ ( sk1 @ ( sk4 @ D @ E ) ) )
= ( C @ ( sk2 @ ( sk1 @ D ) ) @ ( sk2 @ ( sk1 @ E ) ) ) ) ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: a > $o] :
~ ! [B: a > a > a] :
( ( ! [C: g,D: g] :
( ( ( sk3 @ C )
& ( sk3 @ D ) )
=> ( sk3 @ ( sk4 @ C @ D ) ) )
& ! [C: b,D: b] :
( ( ( sk5 @ C )
& ( sk5 @ D ) )
=> ( sk5 @ ( sk6 @ C @ D ) ) )
& ! [C: g] :
( ( sk3 @ C )
=> ( sk5 @ ( sk1 @ C ) ) )
& ! [C: g,D: g] :
( ( ( sk3 @ C )
& ( sk3 @ D ) )
=> ( ( sk1 @ ( sk4 @ C @ D ) )
= ( sk6 @ ( sk1 @ C ) @ ( sk1 @ D ) ) ) )
& ! [C: b,D: b] :
( ( ( sk5 @ C )
& ( sk5 @ D ) )
=> ( sk5 @ ( sk6 @ C @ D ) ) )
& ! [C: a,D: a] :
( ( ( A @ C )
& ( A @ D ) )
=> ( A @ ( B @ C @ D ) ) )
& ! [C: b] :
( ( sk5 @ C )
=> ( A @ ( sk2 @ C ) ) )
& ! [C: b,D: b] :
( ( ( sk5 @ C )
& ( sk5 @ D ) )
=> ( ( sk2 @ ( sk6 @ C @ D ) )
= ( B @ ( sk2 @ C ) @ ( sk2 @ D ) ) ) ) )
=> ( ! [C: g,D: g] :
( ( ( sk3 @ C )
& ( sk3 @ D ) )
=> ( sk3 @ ( sk4 @ C @ D ) ) )
& ! [C: a,D: a] :
( ( ( A @ C )
& ( A @ D ) )
=> ( A @ ( B @ C @ D ) ) )
& ! [C: g] :
( ( sk3 @ C )
=> ( A @ ( sk2 @ ( sk1 @ C ) ) ) )
& ! [C: g,D: g] :
( ( ( sk3 @ C )
& ( sk3 @ D ) )
=> ( ( sk2 @ ( sk1 @ ( sk4 @ C @ D ) ) )
= ( B @ ( sk2 @ ( sk1 @ C ) ) @ ( sk2 @ ( sk1 @ D ) ) ) ) ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: a > a > a] :
~ ( ( ! [B: g,C: g] :
( ( ( sk3 @ B )
& ( sk3 @ C ) )
=> ( sk3 @ ( sk4 @ B @ C ) ) )
& ! [B: b,C: b] :
( ( ( sk5 @ B )
& ( sk5 @ C ) )
=> ( sk5 @ ( sk6 @ B @ C ) ) )
& ! [B: g] :
( ( sk3 @ B )
=> ( sk5 @ ( sk1 @ B ) ) )
& ! [B: g,C: g] :
( ( ( sk3 @ B )
& ( sk3 @ C ) )
=> ( ( sk1 @ ( sk4 @ B @ C ) )
= ( sk6 @ ( sk1 @ B ) @ ( sk1 @ C ) ) ) )
& ! [B: b,C: b] :
( ( ( sk5 @ B )
& ( sk5 @ C ) )
=> ( sk5 @ ( sk6 @ B @ C ) ) )
& ! [B: a,C: a] :
( ( ( sk7 @ B )
& ( sk7 @ C ) )
=> ( sk7 @ ( A @ B @ C ) ) )
& ! [B: b] :
( ( sk5 @ B )
=> ( sk7 @ ( sk2 @ B ) ) )
& ! [B: b,C: b] :
( ( ( sk5 @ B )
& ( sk5 @ C ) )
=> ( ( sk2 @ ( sk6 @ B @ C ) )
= ( A @ ( sk2 @ B ) @ ( sk2 @ C ) ) ) ) )
=> ( ! [B: g,C: g] :
( ( ( sk3 @ B )
& ( sk3 @ C ) )
=> ( sk3 @ ( sk4 @ B @ C ) ) )
& ! [B: a,C: a] :
( ( ( sk7 @ B )
& ( sk7 @ C ) )
=> ( sk7 @ ( A @ B @ C ) ) )
& ! [B: g] :
( ( sk3 @ B )
=> ( sk7 @ ( sk2 @ ( sk1 @ B ) ) ) )
& ! [B: g,C: g] :
( ( ( sk3 @ B )
& ( sk3 @ C ) )
=> ( ( sk2 @ ( sk1 @ ( sk4 @ B @ C ) ) )
= ( A @ ( sk2 @ ( sk1 @ B ) ) @ ( sk2 @ ( sk1 @ C ) ) ) ) ) ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: g] :
~ ! [B: g] :
( ( ( sk3 @ A )
& ( sk3 @ B ) )
=> ( sk3 @ ( sk4 @ A @ B ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( @+[A: g] :
~ ( ( ( sk3 @ sk10 )
& ( sk3 @ A ) )
=> ( sk3 @ ( sk4 @ sk10 @ A ) ) ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( @+[A: a] :
~ ! [B: a] :
( ( ( sk7 @ A )
& ( sk7 @ B ) )
=> ( sk7 @ ( sk8 @ A @ B ) ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( @+[A: a] :
~ ( ( ( sk7 @ sk13 )
& ( sk7 @ A ) )
=> ( sk7 @ ( sk8 @ sk13 @ A ) ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( @+[A: g] :
~ ( ( sk3 @ A )
=> ( sk7 @ ( sk2 @ ( sk1 @ A ) ) ) ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( @+[A: g] :
~ ! [B: g] :
( ( ( sk3 @ A )
& ( sk3 @ B ) )
=> ( ( sk2 @ ( sk1 @ ( sk4 @ A @ B ) ) )
= ( sk8 @ ( sk2 @ ( sk1 @ A ) ) @ ( sk2 @ ( sk1 @ B ) ) ) ) ) ) ) ).
thf(sk17_def,definition,
( sk17
= ( @+[A: g] :
~ ( ( ( sk3 @ sk16 )
& ( sk3 @ A ) )
=> ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ A ) ) )
= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ A ) ) ) ) ) ) ) ).
thf(1,conjecture,
! [A: g > b,B: b > a,C: g > $o,D: g > g > g,E: b > $o,F: b > b > b,G: a > $o,H: a > a > a] :
( ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( E @ ( A @ I ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( A @ ( D @ I @ J ) )
= ( F @ ( A @ I ) @ ( A @ J ) ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: b] :
( ( E @ I )
=> ( G @ ( B @ I ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( ( B @ ( F @ I @ J ) )
= ( H @ ( B @ I ) @ ( B @ J ) ) ) ) )
=> ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( G @ ( B @ ( A @ I ) ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( B @ ( A @ ( D @ I @ J ) ) )
= ( H @ ( B @ ( A @ I ) ) @ ( B @ ( A @ J ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM126_pme) ).
thf(2,negated_conjecture,
~ ! [A: g > b,B: b > a,C: g > $o,D: g > g > g,E: b > $o,F: b > b > b,G: a > $o,H: a > a > a] :
( ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( E @ ( A @ I ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( A @ ( D @ I @ J ) )
= ( F @ ( A @ I ) @ ( A @ J ) ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: b] :
( ( E @ I )
=> ( G @ ( B @ I ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( ( B @ ( F @ I @ J ) )
= ( H @ ( B @ I ) @ ( B @ J ) ) ) ) )
=> ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( G @ ( B @ ( A @ I ) ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( B @ ( A @ ( D @ I @ J ) ) )
= ( H @ ( B @ ( A @ I ) ) @ ( B @ ( A @ J ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: g > b,B: b > a,C: g > $o,D: g > g > g,E: b > $o,F: b > b > b,G: a > $o,H: a > a > a] :
( ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( E @ ( A @ I ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( A @ ( D @ I @ J ) )
= ( F @ ( A @ I ) @ ( A @ J ) ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: b] :
( ( E @ I )
=> ( G @ ( B @ I ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( ( B @ ( F @ I @ J ) )
= ( H @ ( B @ I ) @ ( B @ J ) ) ) ) )
=> ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( G @ ( B @ ( A @ I ) ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( B @ ( A @ ( D @ I @ J ) ) )
= ( H @ ( B @ ( A @ I ) ) @ ( B @ ( A @ J ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [N: b,M: b,L: b,K: a,J: a,I: b,H: b,G: g,F: g,E: g,D: b,C: b,B: g,A: g] :
( ( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ( sk3 @ ( sk4 @ A @ B ) ) )
& ( ~ ( sk5 @ C )
| ~ ( sk5 @ D )
| ( sk5 @ ( sk6 @ C @ D ) ) )
& ( ~ ( sk3 @ E )
| ( sk5 @ ( sk1 @ E ) ) )
& ( ~ ( sk3 @ F )
| ~ ( sk3 @ G )
| ( ( sk1 @ ( sk4 @ F @ G ) )
= ( sk6 @ ( sk1 @ F ) @ ( sk1 @ G ) ) ) )
& ( ~ ( sk5 @ H )
| ~ ( sk5 @ I )
| ( sk5 @ ( sk6 @ H @ I ) ) )
& ( ~ ( sk7 @ J )
| ~ ( sk7 @ K )
| ( sk7 @ ( sk8 @ J @ K ) ) )
& ( ~ ( sk5 @ L )
| ( sk7 @ ( sk2 @ L ) ) )
& ( ~ ( sk5 @ M )
| ~ ( sk5 @ N )
| ( ( sk2 @ ( sk6 @ M @ N ) )
= ( sk8 @ ( sk2 @ M ) @ ( sk2 @ N ) ) ) )
& ( ( sk3 @ sk10 )
| ~ sk9 )
& ( ( sk3 @ sk11 )
| ~ sk9 )
& ( ~ ( sk3 @ ( sk4 @ sk10 @ sk11 ) )
| ~ sk9 )
& ( sk9
| ( sk7 @ sk13 )
| ~ sk12 )
& ( sk9
| ( sk7 @ sk14 )
| ~ sk12 )
& ( sk9
| ~ ( sk7 @ ( sk8 @ sk13 @ sk14 ) )
| ~ sk12 )
& ( sk9
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk16 ) )
& ( sk9
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk17 ) )
& ( sk9
| sk12
| ( sk3 @ sk15 )
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) )
& ( sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk16 ) )
& ( sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk17 ) )
& ( sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(21,plain,
! [B: b,A: b] :
( ~ ( sk5 @ A )
| ~ ( sk5 @ B )
| ( ( sk2 @ ( sk6 @ A @ B ) )
= ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(27,plain,
! [B: b,A: b] :
( ( ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) )
= ( sk2 @ ( sk6 @ A @ B ) ) )
| ~ ( sk5 @ A )
| ~ ( sk5 @ B ) ),
inference(lifteq,[status(thm)],[21]) ).
thf(28,plain,
! [B: b,A: b] :
( ( ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) )
= ( sk2 @ ( sk6 @ A @ B ) ) )
| ~ ( sk5 @ A )
| ~ ( sk5 @ B ) ),
inference(simp,[status(thm)],[27]) ).
thf(19,plain,
( sk9
| sk12
| ( sk3 @ sk15 )
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(35,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| sk9
| sk12
| ( sk3 @ sk15 ) ),
inference(lifteq,[status(thm)],[19]) ).
thf(22,plain,
( sk9
| ( sk7 @ sk13 )
| ~ sk12 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(18,plain,
( ( sk3 @ sk10 )
| ~ sk9 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(24,plain,
( ( sk3 @ sk11 )
| ~ sk9 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(10,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ( sk3 @ ( sk4 @ A @ B ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(13,plain,
( ~ ( sk3 @ ( sk4 @ sk10 @ sk11 ) )
| ~ sk9 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(77,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ~ $true
| ~ sk9
| ( ( sk3 @ ( sk4 @ A @ B ) )
!= ( sk3 @ ( sk4 @ sk10 @ sk11 ) ) ) ),
inference(paramod_ordered,[status(thm)],[10,13]) ).
thf(78,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ~ sk9
| ( ( sk3 @ ( sk4 @ A @ B ) )
!= ( sk3 @ ( sk4 @ sk10 @ sk11 ) ) ) ),
inference(simp,[status(thm)],[77]) ).
thf(79,plain,
( ~ ( sk3 @ sk10 )
| ~ ( sk3 @ sk11 )
| ~ sk9 ),
inference(pattern_uni,[status(thm)],[78:[bind(A,$thf( sk10 )),bind(B,$thf( sk11 ))]]) ).
thf(117,plain,
( ~ sk9
| ~ ( sk3 @ sk10 )
| ~ $true
| ~ sk9
| ( ( sk3 @ sk11 )
!= ( sk3 @ sk11 ) ) ),
inference(paramod_ordered,[status(thm)],[24,79]) ).
thf(118,plain,
( ~ sk9
| ~ ( sk3 @ sk10 )
| ( ( sk3 @ sk11 )
!= ( sk3 @ sk11 ) ) ),
inference(simp,[status(thm)],[117]) ).
thf(119,plain,
( ~ sk9
| ~ ( sk3 @ sk10 ) ),
inference(pattern_uni,[status(thm)],[118:[]]) ).
thf(140,plain,
( ~ sk9
| ~ sk9
| ~ $true
| ( ( sk3 @ sk10 )
!= ( sk3 @ sk10 ) ) ),
inference(paramod_ordered,[status(thm)],[18,119]) ).
thf(141,plain,
( ~ sk9
| ( ( sk3 @ sk10 )
!= ( sk3 @ sk10 ) ) ),
inference(simp,[status(thm)],[140]) ).
thf(142,plain,
~ sk9,
inference(pattern_uni,[status(thm)],[141:[]]) ).
thf(166,plain,
( $false
| ( sk7 @ sk13 )
| ~ sk12 ),
inference(rewrite,[status(thm)],[22,142]) ).
thf(167,plain,
( ( sk7 @ sk13 )
| ~ sk12 ),
inference(simp,[status(thm)],[166]) ).
thf(7,plain,
( sk9
| ( sk7 @ sk14 )
| ~ sk12 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(168,plain,
( $false
| ( sk7 @ sk14 )
| ~ sk12 ),
inference(rewrite,[status(thm)],[7,142]) ).
thf(169,plain,
( ( sk7 @ sk14 )
| ~ sk12 ),
inference(simp,[status(thm)],[168]) ).
thf(14,plain,
! [B: a,A: a] :
( ~ ( sk7 @ A )
| ~ ( sk7 @ B )
| ( sk7 @ ( sk8 @ A @ B ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(26,plain,
! [B: a,A: a] :
( ~ ( sk7 @ A )
| ~ ( sk7 @ B )
| ( sk7 @ ( sk8 @ A @ B ) ) ),
inference(simp,[status(thm)],[14]) ).
thf(6,plain,
( sk9
| ~ ( sk7 @ ( sk8 @ sk13 @ sk14 ) )
| ~ sk12 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(164,plain,
( $false
| ~ ( sk7 @ ( sk8 @ sk13 @ sk14 ) )
| ~ sk12 ),
inference(rewrite,[status(thm)],[6,142]) ).
thf(165,plain,
( ~ ( sk7 @ ( sk8 @ sk13 @ sk14 ) )
| ~ sk12 ),
inference(simp,[status(thm)],[164]) ).
thf(502,plain,
! [B: a,A: a] :
( ~ ( sk7 @ A )
| ~ ( sk7 @ B )
| ~ $true
| ~ sk12
| ( ( sk7 @ ( sk8 @ A @ B ) )
!= ( sk7 @ ( sk8 @ sk13 @ sk14 ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,165]) ).
thf(503,plain,
! [B: a,A: a] :
( ~ ( sk7 @ A )
| ~ ( sk7 @ B )
| ~ sk12
| ( ( sk7 @ ( sk8 @ A @ B ) )
!= ( sk7 @ ( sk8 @ sk13 @ sk14 ) ) ) ),
inference(simp,[status(thm)],[502]) ).
thf(504,plain,
( ~ ( sk7 @ sk13 )
| ~ ( sk7 @ sk14 )
| ~ sk12 ),
inference(pattern_uni,[status(thm)],[503:[bind(A,$thf( sk13 )),bind(B,$thf( sk14 ))]]) ).
thf(536,plain,
( ~ sk12
| ~ ( sk7 @ sk13 )
| ~ $true
| ~ sk12
| ( ( sk7 @ sk14 )
!= ( sk7 @ sk14 ) ) ),
inference(paramod_ordered,[status(thm)],[169,504]) ).
thf(537,plain,
( ~ sk12
| ~ ( sk7 @ sk13 )
| ( ( sk7 @ sk14 )
!= ( sk7 @ sk14 ) ) ),
inference(simp,[status(thm)],[536]) ).
thf(538,plain,
( ~ sk12
| ~ ( sk7 @ sk13 ) ),
inference(pattern_uni,[status(thm)],[537:[]]) ).
thf(571,plain,
( ~ sk12
| ~ sk12
| ~ $true
| ( ( sk7 @ sk13 )
!= ( sk7 @ sk13 ) ) ),
inference(paramod_ordered,[status(thm)],[167,538]) ).
thf(572,plain,
( ~ sk12
| ( ( sk7 @ sk13 )
!= ( sk7 @ sk13 ) ) ),
inference(simp,[status(thm)],[571]) ).
thf(573,plain,
~ sk12,
inference(pattern_uni,[status(thm)],[572:[]]) ).
thf(1248,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| $false
| $false
| ( sk3 @ sk15 ) ),
inference(rewrite,[status(thm)],[35,573,142]) ).
thf(1249,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( sk3 @ sk15 ) ),
inference(simp,[status(thm)],[1248]) ).
thf(1250,plain,
! [B: b,A: b] :
( ~ ( sk5 @ A )
| ~ ( sk5 @ B )
| ( ( sk2 @ ( sk6 @ A @ B ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( sk3 @ sk15 )
| ( ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[28,1249]) ).
thf(1251,plain,
( ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ( ( sk2 @ ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( sk3 @ sk15 ) ),
inference(pattern_uni,[status(thm)],[1250:[bind(A,$thf( sk1 @ sk16 )),bind(B,$thf( sk1 @ sk17 ))]]) ).
thf(15,plain,
( sk9
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(172,plain,
( $false
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(rewrite,[status(thm)],[15,142]) ).
thf(173,plain,
( sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(simp,[status(thm)],[172]) ).
thf(584,plain,
( $false
| ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(rewrite,[status(thm)],[173,573]) ).
thf(585,plain,
( ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(simp,[status(thm)],[584]) ).
thf(12,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( sk5 @ ( sk1 @ A ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(32,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( sk5 @ ( sk1 @ A ) ) ),
inference(simp,[status(thm)],[12]) ).
thf(622,plain,
! [A: g] :
( ( sk3 @ sk15 )
| ~ $true
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk16 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[585,32]) ).
thf(623,plain,
! [A: g] :
( ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk16 )
!= ( sk3 @ A ) ) ),
inference(simp,[status(thm)],[622]) ).
thf(624,plain,
( ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk16 ) ) ),
inference(pattern_uni,[status(thm)],[623:[bind(A,$thf( sk16 ))]]) ).
thf(11,plain,
! [A: b] :
( ~ ( sk5 @ A )
| ( sk7 @ ( sk2 @ A ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(33,plain,
! [A: b] :
( ~ ( sk5 @ A )
| ( sk7 @ ( sk2 @ A ) ) ),
inference(simp,[status(thm)],[11]) ).
thf(103,plain,
! [B: b,A: g] :
( ~ ( sk3 @ A )
| ~ $true
| ( sk7 @ ( sk2 @ B ) )
| ( ( sk5 @ ( sk1 @ A ) )
!= ( sk5 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[32,33]) ).
thf(104,plain,
! [B: b,A: g] :
( ~ ( sk3 @ A )
| ( sk7 @ ( sk2 @ B ) )
| ( ( sk5 @ ( sk1 @ A ) )
!= ( sk5 @ B ) ) ),
inference(simp,[status(thm)],[103]) ).
thf(105,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( sk7 @ ( sk2 @ ( sk1 @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[104:[bind(A,$thf( C )),bind(B,$thf( sk1 @ C ))]]) ).
thf(110,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( sk7 @ ( sk2 @ ( sk1 @ A ) ) ) ),
inference(simp,[status(thm)],[105]) ).
thf(16,plain,
( sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk16 ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(175,plain,
( $false
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk16 ) ),
inference(rewrite,[status(thm)],[16,142]) ).
thf(176,plain,
( sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk16 ) ),
inference(simp,[status(thm)],[175]) ).
thf(229,plain,
! [A: g] :
( ~ ( sk3 @ A )
| sk12
| ~ $true
| ( sk3 @ sk16 )
| ( ( sk7 @ ( sk2 @ ( sk1 @ A ) ) )
!= ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[110,176]) ).
thf(230,plain,
! [A: g] :
( ~ ( sk3 @ A )
| sk12
| ( sk3 @ sk16 )
| ( ( sk7 @ ( sk2 @ ( sk1 @ A ) ) )
!= ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ) ),
inference(simp,[status(thm)],[229]) ).
thf(231,plain,
( ~ ( sk3 @ sk15 )
| sk12
| ( sk3 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[230:[bind(A,$thf( sk15 ))]]) ).
thf(592,plain,
( ~ ( sk3 @ sk15 )
| $false
| ( sk3 @ sk16 ) ),
inference(rewrite,[status(thm)],[231,573]) ).
thf(593,plain,
( ~ ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(simp,[status(thm)],[592]) ).
thf(20,plain,
( sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk17 ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(203,plain,
( $false
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk17 ) ),
inference(rewrite,[status(thm)],[20,142]) ).
thf(204,plain,
( sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk17 ) ),
inference(simp,[status(thm)],[203]) ).
thf(232,plain,
! [A: g] :
( ~ ( sk3 @ A )
| sk12
| ~ $true
| ( sk3 @ sk17 )
| ( ( sk7 @ ( sk2 @ ( sk1 @ A ) ) )
!= ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[110,204]) ).
thf(233,plain,
! [A: g] :
( ~ ( sk3 @ A )
| sk12
| ( sk3 @ sk17 )
| ( ( sk7 @ ( sk2 @ ( sk1 @ A ) ) )
!= ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ) ),
inference(simp,[status(thm)],[232]) ).
thf(234,plain,
( ~ ( sk3 @ sk15 )
| sk12
| ( sk3 @ sk17 ) ),
inference(pattern_uni,[status(thm)],[233:[bind(A,$thf( sk15 ))]]) ).
thf(596,plain,
( ~ ( sk3 @ sk15 )
| $false
| ( sk3 @ sk17 ) ),
inference(rewrite,[status(thm)],[234,573]) ).
thf(597,plain,
( ~ ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(simp,[status(thm)],[596]) ).
thf(798,plain,
! [A: g] :
( ~ ( sk3 @ sk15 )
| ~ $true
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk17 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[597,32]) ).
thf(799,plain,
! [A: g] :
( ~ ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk17 )
!= ( sk3 @ A ) ) ),
inference(simp,[status(thm)],[798]) ).
thf(800,plain,
( ~ ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk17 ) ) ),
inference(pattern_uni,[status(thm)],[799:[bind(A,$thf( sk17 ))]]) ).
thf(717,plain,
! [A: g] :
( ~ ( sk3 @ sk15 )
| ~ $true
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk16 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[593,32]) ).
thf(718,plain,
! [A: g] :
( ~ ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk16 )
!= ( sk3 @ A ) ) ),
inference(simp,[status(thm)],[717]) ).
thf(719,plain,
( ~ ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk16 ) ) ),
inference(pattern_uni,[status(thm)],[718:[bind(A,$thf( sk16 ))]]) ).
thf(17,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ( ( sk1 @ ( sk4 @ A @ B ) )
= ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(30,plain,
! [B: g,A: g] :
( ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) )
= ( sk1 @ ( sk4 @ A @ B ) ) )
| ~ ( sk3 @ A )
| ~ ( sk3 @ B ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(31,plain,
! [B: g,A: g] :
( ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) )
= ( sk1 @ ( sk4 @ A @ B ) ) )
| ~ ( sk3 @ A )
| ~ ( sk3 @ B ) ),
inference(simp,[status(thm)],[30]) ).
thf(5,plain,
( sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(25,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(299,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| $false
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ),
inference(rewrite,[status(thm)],[25,142]) ).
thf(300,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ),
inference(simp,[status(thm)],[299]) ).
thf(606,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| $false
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ),
inference(rewrite,[status(thm)],[300,573]) ).
thf(607,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ),
inference(simp,[status(thm)],[606]) ).
thf(1233,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ~ $true
| ( ( sk7 @ ( sk2 @ ( sk1 @ A ) ) )
!= ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[110,607]) ).
thf(1234,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( ( sk7 @ ( sk2 @ ( sk1 @ A ) ) )
!= ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ) ),
inference(simp,[status(thm)],[1233]) ).
thf(1235,plain,
( ~ ( sk3 @ sk15 )
| ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1234:[bind(A,$thf( sk15 ))]]) ).
thf(1352,plain,
! [B: b,A: b] :
( ~ ( sk5 @ A )
| ~ ( sk5 @ B )
| ~ ( sk3 @ sk15 )
| ( ( sk2 @ ( sk6 @ A @ B ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[28,1235]) ).
thf(1353,plain,
( ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ~ ( sk3 @ sk15 )
| ( ( sk2 @ ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1352:[bind(A,$thf( sk1 @ sk16 )),bind(B,$thf( sk1 @ sk17 ))]]) ).
thf(3077,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ~ ( sk3 @ sk15 )
| ( ( sk2 @ ( sk1 @ ( sk4 @ A @ B ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) )
!= ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) ) ) ),
inference(paramod_ordered,[status(thm)],[31,1353]) ).
thf(3078,plain,
( ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ~ ( sk3 @ sk15 )
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[3077:[bind(A,$thf( sk16 )),bind(B,$thf( sk17 ))]]) ).
thf(3198,plain,
( ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ~ ( sk3 @ sk15 ) ),
inference(simp,[status(thm)],[3078]) ).
thf(3773,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ $true
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ~ ( sk3 @ sk15 )
| ( ( sk5 @ ( sk1 @ sk16 ) )
!= ( sk5 @ ( sk1 @ sk16 ) ) ) ),
inference(paramod_ordered,[status(thm)],[719,3198]) ).
thf(3774,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ( ( sk5 @ ( sk1 @ sk16 ) )
!= ( sk5 @ ( sk1 @ sk16 ) ) ) ),
inference(simp,[status(thm)],[3773]) ).
thf(3775,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ ( sk5 @ ( sk1 @ sk17 ) ) ),
inference(pattern_uni,[status(thm)],[3774:[]]) ).
thf(4185,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ $true
| ( ( sk5 @ ( sk1 @ sk17 ) )
!= ( sk5 @ ( sk1 @ sk17 ) ) ) ),
inference(paramod_ordered,[status(thm)],[800,3775]) ).
thf(4186,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ( ( sk5 @ ( sk1 @ sk17 ) )
!= ( sk5 @ ( sk1 @ sk17 ) ) ) ),
inference(simp,[status(thm)],[4185]) ).
thf(4187,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 ) ),
inference(pattern_uni,[status(thm)],[4186:[]]) ).
thf(4268,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ $true
| ( ( sk3 @ sk17 )
!= ( sk3 @ sk17 ) ) ),
inference(paramod_ordered,[status(thm)],[597,4187]) ).
thf(4269,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ( ( sk3 @ sk17 )
!= ( sk3 @ sk17 ) ) ),
inference(simp,[status(thm)],[4268]) ).
thf(4270,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[4269:[]]) ).
thf(4503,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk15 )
| ~ $true
| ( ( sk3 @ sk16 )
!= ( sk3 @ sk16 ) ) ),
inference(paramod_ordered,[status(thm)],[593,4270]) ).
thf(4504,plain,
( ~ ( sk3 @ sk15 )
| ( ( sk3 @ sk16 )
!= ( sk3 @ sk16 ) ) ),
inference(simp,[status(thm)],[4503]) ).
thf(4505,plain,
~ ( sk3 @ sk15 ),
inference(pattern_uni,[status(thm)],[4504:[]]) ).
thf(4704,plain,
( $false
| ( sk5 @ ( sk1 @ sk16 ) ) ),
inference(rewrite,[status(thm)],[624,4505]) ).
thf(4705,plain,
sk5 @ ( sk1 @ sk16 ),
inference(simp,[status(thm)],[4704]) ).
thf(625,plain,
( ( sk3 @ sk15 )
| ( ( sk3 @ sk16 )
!= ( sk3 @ sk15 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[585]) ).
thf(626,plain,
( ( sk3 @ sk15 )
| ( ( sk3 @ sk16 )
!= ( sk3 @ sk15 ) ) ),
inference(simp,[status(thm)],[625]) ).
thf(4684,plain,
( $false
| ( sk3 @ sk16 ) ),
inference(rewrite,[status(thm)],[626,4505]) ).
thf(4685,plain,
sk3 @ sk16,
inference(simp,[status(thm)],[4684]) ).
thf(23,plain,
( sk9
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(170,plain,
( $false
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(rewrite,[status(thm)],[23,142]) ).
thf(171,plain,
( sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(simp,[status(thm)],[170]) ).
thf(604,plain,
( $false
| ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(rewrite,[status(thm)],[171,573]) ).
thf(605,plain,
( ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(simp,[status(thm)],[604]) ).
thf(959,plain,
! [B: g,A: g] :
( ( sk3 @ sk15 )
| ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) )
= ( sk1 @ ( sk4 @ A @ B ) ) )
| ~ ( sk3 @ A )
| ~ $true
| ( ( sk3 @ sk17 )
!= ( sk3 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[605,31]) ).
thf(960,plain,
! [B: g,A: g] :
( ( sk3 @ sk15 )
| ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) )
= ( sk1 @ ( sk4 @ A @ B ) ) )
| ~ ( sk3 @ A )
| ( ( sk3 @ sk17 )
!= ( sk3 @ B ) ) ),
inference(simp,[status(thm)],[959]) ).
thf(961,plain,
! [A: g] :
( ( sk3 @ sk15 )
| ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ sk17 ) )
= ( sk1 @ ( sk4 @ A @ sk17 ) ) )
| ~ ( sk3 @ A ) ),
inference(pattern_uni,[status(thm)],[960:[bind(A,$thf( A )),bind(B,$thf( sk17 ))]]) ).
thf(54721,plain,
! [A: g] :
( $false
| ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ sk17 ) )
= ( sk1 @ ( sk4 @ A @ sk17 ) ) )
| ~ ( sk3 @ A ) ),
inference(rewrite,[status(thm)],[961,4505]) ).
thf(54722,plain,
! [A: g] :
( ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ sk17 ) )
= ( sk1 @ ( sk4 @ A @ sk17 ) ) )
| ~ ( sk3 @ A ) ),
inference(simp,[status(thm)],[54721]) ).
thf(55093,plain,
! [A: g] :
( ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ sk17 ) )
= ( sk1 @ ( sk4 @ A @ sk17 ) ) )
| ~ $true
| ( ( sk3 @ sk16 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[4685,54722]) ).
thf(55094,plain,
! [A: g] :
( ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ sk17 ) )
= ( sk1 @ ( sk4 @ A @ sk17 ) ) )
| ( ( sk3 @ sk16 )
!= ( sk3 @ A ) ) ),
inference(simp,[status(thm)],[55093]) ).
thf(55095,plain,
( ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) )
= ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ),
inference(pattern_uni,[status(thm)],[55094:[bind(A,$thf( sk16 ))]]) ).
thf(188,plain,
! [A: g] :
( sk12
| ( sk3 @ sk15 )
| ~ $true
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk17 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[171,32]) ).
thf(189,plain,
! [A: g] :
( sk12
| ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk17 )
!= ( sk3 @ A ) ) ),
inference(simp,[status(thm)],[188]) ).
thf(190,plain,
( sk12
| ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk17 ) ) ),
inference(pattern_uni,[status(thm)],[189:[bind(A,$thf( sk17 ))]]) ).
thf(608,plain,
( $false
| ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk17 ) ) ),
inference(rewrite,[status(thm)],[190,573]) ).
thf(609,plain,
( ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk17 ) ) ),
inference(simp,[status(thm)],[608]) ).
thf(4682,plain,
( $false
| ( sk5 @ ( sk1 @ sk17 ) ) ),
inference(rewrite,[status(thm)],[609,4505]) ).
thf(4683,plain,
sk5 @ ( sk1 @ sk17 ),
inference(simp,[status(thm)],[4682]) ).
thf(128660,plain,
( ~ $true
| ~ $true
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| $false ),
inference(rewrite,[status(thm)],[1251,4705,55095,4505,4683]) ).
thf(128661,plain,
$false,
inference(simp,[status(thm)],[128660]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU904^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.10/0.21 % Computer : n020.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 14:45:34 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.03/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.99 % [INFO] Parsing done (194ms).
% 1.23/1.01 % [INFO] Running in sequential loop mode.
% 2.09/1.40 % [INFO] eprover registered as external prover.
% 2.09/1.41 % [INFO] Scanning for conjecture ...
% 2.31/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.31/1.59 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.31/1.59 % [INFO] Problem is higher-order (TPTP THF).
% 2.31/1.60 % [INFO] Type checking passed.
% 2.47/1.60 % [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 ...
% 204.89/166.21 % [INFO] Killing All external provers ...
% 204.89/166.22 % Time passed: 165857ms (effective reasoning time: 165200ms)
% 204.89/166.22 % 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)>
% 204.89/166.22 % Axioms used in derivation (0):
% 204.89/166.22 % No. of inferences in proof: 141
% 204.89/166.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 165857 ms resp. 165200 ms w/o parsing
% 205.38/166.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 205.38/166.36 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------