%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : COM022+4 : TPTP v9.3.1. Released v4.0.0.
% 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 : n010.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 06:57:54 AM UTC 2026
% Result : Theorem 41.56s 11.98s
% Output : Refutation 42.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 15
% Syntax : Number of formulae : 96 ( 27 unt; 0 typ; 13 def)
% Number of atoms : 961 ( 156 equ; 0 cnn)
% Maximal formula atoms : 215 ( 10 avg)
% Number of connectives : 2651 ( 228 ~; 399 |; 400 &;1615 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 82 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 21 con; 0-3 aty)
% Number of variables : 123 ( 0 ^; 22 !; 88 ?; 123 :)
% ( 0 !>; 0 ?*; 0 @-; 13 @+)
% Comments :
%------------------------------------------------------------------------------
thf(aElement0_decl,type,
aElement0: $i > $o ).
thf(sdtmndtplgtdt0_decl,type,
sdtmndtplgtdt0: $i > $i > $i > $o ).
thf(aReductOfIn0_decl,type,
aReductOfIn0: $i > $i > $i > $o ).
thf(sdtmndtasgtdt0_decl,type,
sdtmndtasgtdt0: $i > $i > $i > $o ).
thf(aNormalFormOfIn0_decl,type,
aNormalFormOfIn0: $i > $i > $i > $o ).
thf(xb_decl,type,
xb: $i ).
thf(xa_decl,type,
xa: $i ).
thf(xR_decl,type,
xR: $i ).
thf(xc_decl,type,
xc: $i ).
thf(sk1_decl,type,
sk1: $o ).
thf(sk2_decl,type,
sk2: $o ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i ).
thf(sk9_decl,type,
sk9: $i ).
thf(sk10_decl,type,
sk10: $i ).
thf(sk11_decl,type,
sk11: $i ).
thf(sk12_decl,type,
sk12: $i ).
thf(sk13_decl,type,
sk13: $i ).
thf(sk14_decl,type,
sk14: $i ).
thf(sk15_decl,type,
sk15: $i ).
thf(sk16_decl,type,
sk16: $i > $o ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( D @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( xc @ ( D @ aReductOfIn0 ) ) ) ) )
| ( xc = D ) )
& ( D @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( xb @ ( D @ aReductOfIn0 ) ) ) ) )
| ( xb = D ) )
& ( xR @ ( C @ ( D @ aNormalFormOfIn0 ) ) )
& ~ ? [E: $i] : ( xR @ ( D @ ( E @ aReductOfIn0 ) ) )
& ( D @ ( xR @ ( C @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( C @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( C @ ( D @ aReductOfIn0 ) ) ) ) )
| ( C = D ) )
& ( D @ aElement0 ) )
& ( C @ ( xR @ ( B @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( B @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( B @ ( C @ aReductOfIn0 ) ) ) ) )
| ( B = C ) )
& ( C @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( A @ ( C @ aReductOfIn0 ) ) ) ) )
| ( A = C ) )
& ( C @ aElement0 ) )
& ( xc @ ( xR @ ( B @ sdtmndtasgtdt0 ) ) )
& ( ( ( xc @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( ? [C: $i] :
( ( xc @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( B @ ( C @ aReductOfIn0 ) ) )
& ( C @ aElement0 ) )
| ( xR @ ( B @ ( xc @ aReductOfIn0 ) ) ) ) )
| ( B = xc ) )
& ( xR @ ( xa @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
& ( xb @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( xb @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( A @ ( xb @ aReductOfIn0 ) ) ) ) )
| ( A = xb ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( sk3 @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ( C @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( xc @ ( C @ aReductOfIn0 ) ) ) ) )
| ( xc = C ) )
& ( C @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( xb @ ( C @ aReductOfIn0 ) ) ) ) )
| ( xb = C ) )
& ( xR @ ( B @ ( C @ aNormalFormOfIn0 ) ) )
& ~ ? [D: $i] : ( xR @ ( C @ ( D @ aReductOfIn0 ) ) )
& ( C @ ( xR @ ( B @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( B @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( B @ ( C @ aReductOfIn0 ) ) ) ) )
| ( B = C ) )
& ( C @ aElement0 ) )
& ( B @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( B @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [C: $i] :
( ( B @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( C @ aReductOfIn0 ) ) )
& ( C @ aElement0 ) )
| ( xR @ ( A @ ( B @ aReductOfIn0 ) ) ) ) )
| ( A = B ) )
& ( B @ ( xR @ ( sk3 @ sdtmndtasgtdt0 ) ) )
& ( ( ( B @ ( xR @ ( sk3 @ sdtmndtplgtdt0 ) ) )
& ( ? [C: $i] :
( ( B @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( sk3 @ ( C @ aReductOfIn0 ) ) )
& ( C @ aElement0 ) )
| ( xR @ ( sk3 @ ( B @ aReductOfIn0 ) ) ) ) )
| ( sk3 = B ) )
& ( B @ aElement0 ) )
& ( xc @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( xc @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( xc @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( A @ ( xc @ aReductOfIn0 ) ) ) ) )
| ( A = xc ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: $i] :
( ( xc @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( sk5 @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
( ? [B: $i] :
( ( B @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
& ( ( ( B @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
& ( ? [C: $i] :
( ( B @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( C @ aReductOfIn0 ) ) )
& ( C @ aElement0 ) )
| ( xR @ ( xc @ ( B @ aReductOfIn0 ) ) ) ) )
| ( xc = B ) )
& ( B @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
& ( ( ( B @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
& ( ? [C: $i] :
( ( B @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( C @ aReductOfIn0 ) ) )
& ( C @ aElement0 ) )
| ( xR @ ( xb @ ( B @ aReductOfIn0 ) ) ) ) )
| ( xb = B ) )
& ( xR @ ( A @ ( B @ aNormalFormOfIn0 ) ) )
& ~ ? [C: $i] : ( xR @ ( B @ ( C @ aReductOfIn0 ) ) )
& ( B @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( B @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [C: $i] :
( ( B @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( C @ aReductOfIn0 ) ) )
& ( C @ aElement0 ) )
| ( xR @ ( A @ ( B @ aReductOfIn0 ) ) ) ) )
| ( A = B ) )
& ( B @ aElement0 ) )
& ( A @ ( xR @ ( sk5 @ sdtmndtasgtdt0 ) ) )
& ( ( ( A @ ( xR @ ( sk5 @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( sk5 @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( sk5 @ ( A @ aReductOfIn0 ) ) ) ) )
| ( sk5 = A ) )
& ( A @ ( xR @ ( sk3 @ sdtmndtasgtdt0 ) ) )
& ( ( ( A @ ( xR @ ( sk3 @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( sk3 @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( sk3 @ ( A @ aReductOfIn0 ) ) ) ) )
| ( sk3 = A ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i] :
( ( sk7 @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( sk3 @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( @+[A: $i] :
( ( sk7 @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( sk5 @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i] :
( ( A @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
& ( ( ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( xc @ ( A @ aReductOfIn0 ) ) ) ) )
| ( xc = A ) )
& ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
& ( ( ( A @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( xb @ ( A @ aReductOfIn0 ) ) ) ) )
| ( xb = A ) )
& ( xR @ ( sk7 @ ( A @ aNormalFormOfIn0 ) ) )
& ~ ? [B: $i] : ( xR @ ( A @ ( B @ aReductOfIn0 ) ) )
& ( A @ ( xR @ ( sk7 @ sdtmndtasgtdt0 ) ) )
& ( ( ( A @ ( xR @ ( sk7 @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( sk7 @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( sk7 @ ( A @ aReductOfIn0 ) ) ) ) )
| ( sk7 = A ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( @+[A: $i] :
( ( sk10 @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( sk7 @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( @+[A: $i] :
( ( sk10 @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( @+[A: $i] :
( ( sk10 @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( @+[A: $i] :
( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( @+[A: $i] :
( ( xc @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) ) ) ).
thf(1,conjecture,
( ( ( ( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ? [A: $i] :
( ( xc @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) ) )
& ( ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ? [A: $i] :
( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) ) ) )
=> ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( D @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( xc @ ( D @ aReductOfIn0 ) ) ) ) )
| ( xc = D ) )
& ( D @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( xb @ ( D @ aReductOfIn0 ) ) ) ) )
| ( xb = D ) )
& ( xR @ ( C @ ( D @ aNormalFormOfIn0 ) ) )
& ~ ? [E: $i] : ( xR @ ( D @ ( E @ aReductOfIn0 ) ) )
& ( D @ ( xR @ ( C @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( C @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( C @ ( D @ aReductOfIn0 ) ) ) ) )
| ( C = D ) )
& ( D @ aElement0 ) )
& ( C @ ( xR @ ( B @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( B @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( B @ ( C @ aReductOfIn0 ) ) ) ) )
| ( B = C ) )
& ( C @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( A @ ( C @ aReductOfIn0 ) ) ) ) )
| ( A = C ) )
& ( C @ aElement0 ) )
& ( xc @ ( xR @ ( B @ sdtmndtasgtdt0 ) ) )
& ( ( ( xc @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( ? [C: $i] :
( ( xc @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( B @ ( C @ aReductOfIn0 ) ) )
& ( C @ aElement0 ) )
| ( xR @ ( B @ ( xc @ aReductOfIn0 ) ) ) ) )
| ( B = xc ) )
& ( xR @ ( xa @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
& ( xb @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( xb @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( A @ ( xb @ aReductOfIn0 ) ) ) ) )
| ( A = xb ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) )
=> ( ( ( xc @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
& ( ( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
& ( ? [A: $i] :
( ( xc @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) ) ) )
| ( xa = xc ) )
& ( xb @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
& ( ( ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
& ( ? [A: $i] :
( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) ) ) )
| ( xa = xb ) ) )
=> ? [A: $i] :
( ( ( A @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
| ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( xc @ ( A @ aReductOfIn0 ) ) )
| ( xc = A ) )
& ( ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
| ( A @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
| ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( xb @ ( A @ aReductOfIn0 ) ) )
| ( xb = A ) )
& ( A @ aElement0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
~ ( ( ( ( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ? [A: $i] :
( ( xc @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) ) )
& ( ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ? [A: $i] :
( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) ) ) )
=> ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( D @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( xc @ ( D @ aReductOfIn0 ) ) ) ) )
| ( xc = D ) )
& ( D @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( xb @ ( D @ aReductOfIn0 ) ) ) ) )
| ( xb = D ) )
& ( xR @ ( C @ ( D @ aNormalFormOfIn0 ) ) )
& ~ ? [E: $i] : ( xR @ ( D @ ( E @ aReductOfIn0 ) ) )
& ( D @ ( xR @ ( C @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( C @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( C @ ( D @ aReductOfIn0 ) ) ) ) )
| ( C = D ) )
& ( D @ aElement0 ) )
& ( C @ ( xR @ ( B @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( B @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( B @ ( C @ aReductOfIn0 ) ) ) ) )
| ( B = C ) )
& ( C @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( A @ ( C @ aReductOfIn0 ) ) ) ) )
| ( A = C ) )
& ( C @ aElement0 ) )
& ( xc @ ( xR @ ( B @ sdtmndtasgtdt0 ) ) )
& ( ( ( xc @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( ? [C: $i] :
( ( xc @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( B @ ( C @ aReductOfIn0 ) ) )
& ( C @ aElement0 ) )
| ( xR @ ( B @ ( xc @ aReductOfIn0 ) ) ) ) )
| ( B = xc ) )
& ( xR @ ( xa @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
& ( xb @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( xb @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( A @ ( xb @ aReductOfIn0 ) ) ) ) )
| ( A = xb ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) )
=> ( ( ( xc @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
& ( ( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
& ( ? [A: $i] :
( ( xc @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) ) ) )
| ( xa = xc ) )
& ( xb @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
& ( ( ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
& ( ? [A: $i] :
( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) ) ) )
| ( xa = xb ) ) )
=> ? [A: $i] :
( ( ( A @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
| ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( xc @ ( A @ aReductOfIn0 ) ) )
| ( xc = A ) )
& ( ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
| ( A @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
| ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( xb @ ( A @ aReductOfIn0 ) ) )
| ( xb = A ) )
& ( A @ aElement0 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(21,plain,
~ ( ( ( ( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ? [A: $i] :
( ( xc @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) ) )
& ( ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ? [A: $i] :
( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) ) ) )
=> ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( D @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( xc @ ( D @ aReductOfIn0 ) ) ) ) )
| ( xc = D ) )
& ( D @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( xb @ ( D @ aReductOfIn0 ) ) ) ) )
| ( xb = D ) )
& ( xR @ ( C @ ( D @ aNormalFormOfIn0 ) ) )
& ~ ? [E: $i] : ( xR @ ( D @ ( E @ aReductOfIn0 ) ) )
& ( D @ ( xR @ ( C @ sdtmndtasgtdt0 ) ) )
& ( ( ( D @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( ? [E: $i] :
( ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( C @ ( E @ aReductOfIn0 ) ) )
& ( E @ aElement0 ) )
| ( xR @ ( C @ ( D @ aReductOfIn0 ) ) ) ) )
| ( C = D ) )
& ( D @ aElement0 ) )
& ( C @ ( xR @ ( B @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( B @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( B @ ( C @ aReductOfIn0 ) ) ) ) )
| ( B = C ) )
& ( C @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( C @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [D: $i] :
( ( C @ ( xR @ ( D @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( D @ aReductOfIn0 ) ) )
& ( D @ aElement0 ) )
| ( xR @ ( A @ ( C @ aReductOfIn0 ) ) ) ) )
| ( A = C ) )
& ( C @ aElement0 ) )
& ( xc @ ( xR @ ( B @ sdtmndtasgtdt0 ) ) )
& ( ( ( xc @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( ? [C: $i] :
( ( xc @ ( xR @ ( C @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( B @ ( C @ aReductOfIn0 ) ) )
& ( C @ aElement0 ) )
| ( xR @ ( B @ ( xc @ aReductOfIn0 ) ) ) ) )
| ( B = xc ) )
& ( xR @ ( xa @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
& ( xb @ ( xR @ ( A @ sdtmndtasgtdt0 ) ) )
& ( ( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( ? [B: $i] :
( ( xb @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( A @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( A @ ( xb @ aReductOfIn0 ) ) ) ) )
| ( A = xb ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) ) )
=> ( ( ( xc @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
& ( ( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
& ( ? [A: $i] :
( ( xc @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) ) ) )
| ( xa = xc ) )
& ( xb @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
& ( ( ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
& ( ? [A: $i] :
( ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
& ( A @ aElement0 ) )
| ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) ) ) )
| ( xa = xb ) ) )
=> ? [A: $i] :
( ( ( A @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
| ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xc @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( xc @ ( A @ aReductOfIn0 ) ) )
| ( xc = A ) )
& ( ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
| ( A @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
| ? [B: $i] :
( ( A @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
& ( xR @ ( xb @ ( B @ aReductOfIn0 ) ) )
& ( B @ aElement0 ) )
| ( xR @ ( xb @ ( A @ aReductOfIn0 ) ) )
| ( xb = A ) )
& ( A @ aElement0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ~ ( D @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
| ( D @ sk16 )
| ~ ( D @ aElement0 ) )
& ( ~ ( D @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ( D @ sk16 )
| ~ ( D @ aElement0 ) )
& ( ~ ( D @ ( xR @ ( F @ sdtmndtplgtdt0 ) ) )
| ~ ( xR @ ( xc @ ( F @ aReductOfIn0 ) ) )
| ~ ( F @ aElement0 )
| ( D @ sk16 )
| ~ ( D @ aElement0 ) )
& ( ~ ( xR @ ( xc @ ( D @ aReductOfIn0 ) ) )
| ( D @ sk16 )
| ~ ( D @ aElement0 ) )
& ( ( xc != D )
| ( D @ sk16 )
| ~ ( D @ aElement0 ) )
& ( ~ ( D @ sk16 )
| ~ ( D @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
| ~ ( D @ aElement0 ) )
& ( ~ ( D @ sk16 )
| ~ ( D @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
| ~ ( D @ aElement0 ) )
& ( ~ ( D @ sk16 )
| ~ ( D @ ( xR @ ( E @ sdtmndtplgtdt0 ) ) )
| ~ ( xR @ ( xb @ ( E @ aReductOfIn0 ) ) )
| ~ ( E @ aElement0 )
| ~ ( D @ aElement0 ) )
& ( ~ ( D @ sk16 )
| ~ ( xR @ ( xb @ ( D @ aReductOfIn0 ) ) )
| ~ ( D @ aElement0 ) )
& ( ~ ( D @ sk16 )
| ( xb != D )
| ~ ( D @ aElement0 ) )
& ( xc @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
& ( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ( xa = xc ) )
& ( ( xc @ ( xR @ ( sk15 @ sdtmndtplgtdt0 ) ) )
| ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) )
| ( xa = xc ) )
& ( ( xR @ ( xa @ ( sk15 @ aReductOfIn0 ) ) )
| ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) )
| ( xa = xc ) )
& ( ( sk15 @ aElement0 )
| ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) )
| ( xa = xc ) )
& ( xb @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
& ( ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ( xa = xb ) )
& ( ( xb @ ( xR @ ( sk14 @ sdtmndtplgtdt0 ) ) )
| ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) )
| ( xa = xb ) )
& ( ( xR @ ( xa @ ( sk14 @ aReductOfIn0 ) ) )
| ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) )
| ( xa = xb ) )
& ( ( sk14 @ aElement0 )
| ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) )
| ( xa = xb ) )
& ( ( sk10 @ ( xR @ ( xc @ sdtmndtasgtdt0 ) ) )
| ~ sk1 )
& ( ( sk10 @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ( xc = sk10 )
| ~ sk1 )
& ( ( sk10 @ ( xR @ ( sk13 @ sdtmndtplgtdt0 ) ) )
| ( xR @ ( xc @ ( sk10 @ aReductOfIn0 ) ) )
| ( xc = sk10 )
| ~ sk1 )
& ( ( xR @ ( xc @ ( sk13 @ aReductOfIn0 ) ) )
| ( xR @ ( xc @ ( sk10 @ aReductOfIn0 ) ) )
| ( xc = sk10 )
| ~ sk1 )
& ( ( sk13 @ aElement0 )
| ( xR @ ( xc @ ( sk10 @ aReductOfIn0 ) ) )
| ( xc = sk10 )
| ~ sk1 )
& ( ( sk10 @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
| ~ sk1 )
& ( ( sk10 @ ( xR @ ( xb @ sdtmndtplgtdt0 ) ) )
| ( xb = sk10 )
| ~ sk1 )
& ( ( sk10 @ ( xR @ ( sk12 @ sdtmndtplgtdt0 ) ) )
| ( xR @ ( xb @ ( sk10 @ aReductOfIn0 ) ) )
| ( xb = sk10 )
| ~ sk1 )
& ( ( xR @ ( xb @ ( sk12 @ aReductOfIn0 ) ) )
| ( xR @ ( xb @ ( sk10 @ aReductOfIn0 ) ) )
| ( xb = sk10 )
| ~ sk1 )
& ( ( sk12 @ aElement0 )
| ( xR @ ( xb @ ( sk10 @ aReductOfIn0 ) ) )
| ( xb = sk10 )
| ~ sk1 )
& ( ( xR @ ( sk7 @ ( sk10 @ aNormalFormOfIn0 ) ) )
| ~ sk1 )
& ( ~ ( xR @ ( sk10 @ ( C @ aReductOfIn0 ) ) )
| ~ sk1 )
& ( ( sk10 @ ( xR @ ( sk7 @ sdtmndtasgtdt0 ) ) )
| ~ sk1 )
& ( ( sk10 @ ( xR @ ( sk7 @ sdtmndtplgtdt0 ) ) )
| ( sk7 = sk10 )
| ~ sk1 )
& ( ( sk10 @ ( xR @ ( sk11 @ sdtmndtplgtdt0 ) ) )
| ( xR @ ( sk7 @ ( sk10 @ aReductOfIn0 ) ) )
| ( sk7 = sk10 )
| ~ sk1 )
& ( ( xR @ ( sk7 @ ( sk11 @ aReductOfIn0 ) ) )
| ( xR @ ( sk7 @ ( sk10 @ aReductOfIn0 ) ) )
| ( sk7 = sk10 )
| ~ sk1 )
& ( ( sk11 @ aElement0 )
| ( xR @ ( sk7 @ ( sk10 @ aReductOfIn0 ) ) )
| ( sk7 = sk10 )
| ~ sk1 )
& ( ( sk10 @ aElement0 )
| ~ sk1 )
& ( ( sk7 @ ( xR @ ( sk5 @ sdtmndtasgtdt0 ) ) )
| ~ sk1 )
& ( ( sk7 @ ( xR @ ( sk5 @ sdtmndtplgtdt0 ) ) )
| ( sk5 = sk7 )
| ~ sk1 )
& ( ( sk7 @ ( xR @ ( sk9 @ sdtmndtplgtdt0 ) ) )
| ( xR @ ( sk5 @ ( sk7 @ aReductOfIn0 ) ) )
| ( sk5 = sk7 )
| ~ sk1 )
& ( ( xR @ ( sk5 @ ( sk9 @ aReductOfIn0 ) ) )
| ( xR @ ( sk5 @ ( sk7 @ aReductOfIn0 ) ) )
| ( sk5 = sk7 )
| ~ sk1 )
& ( ( sk9 @ aElement0 )
| ( xR @ ( sk5 @ ( sk7 @ aReductOfIn0 ) ) )
| ( sk5 = sk7 )
| ~ sk1 )
& ( ( sk7 @ ( xR @ ( sk3 @ sdtmndtasgtdt0 ) ) )
| ~ sk1 )
& ( ( sk7 @ ( xR @ ( sk3 @ sdtmndtplgtdt0 ) ) )
| ( sk3 = sk7 )
| ~ sk1 )
& ( ( sk7 @ ( xR @ ( sk8 @ sdtmndtplgtdt0 ) ) )
| ( xR @ ( sk3 @ ( sk7 @ aReductOfIn0 ) ) )
| ( sk3 = sk7 )
| ~ sk1 )
& ( ( xR @ ( sk3 @ ( sk8 @ aReductOfIn0 ) ) )
| ( xR @ ( sk3 @ ( sk7 @ aReductOfIn0 ) ) )
| ( sk3 = sk7 )
| ~ sk1 )
& ( ( sk8 @ aElement0 )
| ( xR @ ( sk3 @ ( sk7 @ aReductOfIn0 ) ) )
| ( sk3 = sk7 )
| ~ sk1 )
& ( ( sk7 @ aElement0 )
| ~ sk1 )
& ( ( xc @ ( xR @ ( sk5 @ sdtmndtasgtdt0 ) ) )
| ~ sk1 )
& ( ( xc @ ( xR @ ( sk5 @ sdtmndtplgtdt0 ) ) )
| ( sk5 = xc )
| ~ sk1 )
& ( ( xc @ ( xR @ ( sk6 @ sdtmndtplgtdt0 ) ) )
| ( xR @ ( sk5 @ ( xc @ aReductOfIn0 ) ) )
| ( sk5 = xc )
| ~ sk1 )
& ( ( xR @ ( sk5 @ ( sk6 @ aReductOfIn0 ) ) )
| ( xR @ ( sk5 @ ( xc @ aReductOfIn0 ) ) )
| ( sk5 = xc )
| ~ sk1 )
& ( ( sk6 @ aElement0 )
| ( xR @ ( sk5 @ ( xc @ aReductOfIn0 ) ) )
| ( sk5 = xc )
| ~ sk1 )
& ( ( xR @ ( xa @ ( sk5 @ aReductOfIn0 ) ) )
| ~ sk1 )
& ( ( sk5 @ aElement0 )
| ~ sk1 )
& ( ( xb @ ( xR @ ( sk3 @ sdtmndtasgtdt0 ) ) )
| ~ sk1 )
& ( ( xb @ ( xR @ ( sk3 @ sdtmndtplgtdt0 ) ) )
| ( sk3 = xb )
| ~ sk1 )
& ( ( xb @ ( xR @ ( sk4 @ sdtmndtplgtdt0 ) ) )
| ( xR @ ( sk3 @ ( xb @ aReductOfIn0 ) ) )
| ( sk3 = xb )
| ~ sk1 )
& ( ( xR @ ( sk3 @ ( sk4 @ aReductOfIn0 ) ) )
| ( xR @ ( sk3 @ ( xb @ aReductOfIn0 ) ) )
| ( sk3 = xb )
| ~ sk1 )
& ( ( sk4 @ aElement0 )
| ( xR @ ( sk3 @ ( xb @ aReductOfIn0 ) ) )
| ( sk3 = xb )
| ~ sk1 )
& ( ( xR @ ( xa @ ( sk3 @ aReductOfIn0 ) ) )
| ~ sk1 )
& ( ( sk3 @ aElement0 )
| ~ sk1 )
& ( sk1
| ~ ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| sk2 )
& ( sk1
| ~ ( xc @ ( xR @ ( B @ sdtmndtplgtdt0 ) ) )
| ~ ( xR @ ( xa @ ( B @ aReductOfIn0 ) ) )
| ~ ( B @ aElement0 )
| sk2 )
& ( sk1
| ~ ( xR @ ( xa @ ( xc @ aReductOfIn0 ) ) )
| sk2 )
& ( sk1
| ~ sk2
| ~ ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) ) )
& ( sk1
| ~ sk2
| ~ ( xb @ ( xR @ ( A @ sdtmndtplgtdt0 ) ) )
| ~ ( xR @ ( xa @ ( A @ aReductOfIn0 ) ) )
| ~ ( A @ aElement0 ) )
& ( sk1
| ~ sk2
| ~ ( xR @ ( xa @ ( xb @ aReductOfIn0 ) ) ) ) ),
inference(cnf,[status(esa)],[21]) ).
thf(63,plain,
( ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ( xa = xb ) ),
inference(cnfConj,[status(thm)],[22]) ).
thf(124,plain,
( ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ( xa = xb ) ),
inference(lifteq,[status(thm)],[63]) ).
thf(27,plain,
xc @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ),
inference(cnfConj,[status(thm)],[22]) ).
thf(10,axiom,
( ( xc @ aElement0 )
& ( xb @ aElement0 )
& ( xa @ aElement0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
thf(207,plain,
( ( xc @ aElement0 )
& ( xb @ aElement0 )
& ( xa @ aElement0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(208,plain,
( ( xc @ aElement0 )
& ( xb @ aElement0 )
& ( xa @ aElement0 ) ),
inference(cnf,[status(esa)],[207]) ).
thf(211,plain,
xc @ aElement0,
inference(cnfConj,[status(thm)],[208]) ).
thf(52,plain,
! [A: $i] :
( ~ ( A @ sk16 )
| ~ ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
| ~ ( A @ aElement0 ) ),
inference(cnfConj,[status(thm)],[22]) ).
thf(93,plain,
! [A: $i] :
( ~ ( A @ sk16 )
| ~ ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
| ~ ( A @ aElement0 ) ),
inference(simp,[status(thm)],[52]) ).
thf(286,plain,
! [A: $i] :
( ( ( xc @ aElement0 )
!= ( A @ aElement0 ) )
| ~ ( A @ sk16 )
| ~ ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[211,93]) ).
thf(287,plain,
! [A: $i] :
( ( ( xc @ aElement0 )
!= ( A @ aElement0 ) )
| ~ ( A @ sk16 )
| ~ ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ) ),
inference(simp,[status(thm)],[286]) ).
thf(288,plain,
( ~ ( xc @ sk16 )
| ~ ( xc @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ) ),
inference(pattern_uni,[status(thm)],[287:[bind(A,$thf( xc ))]]) ).
thf(81,plain,
! [A: $i] :
( ( xc != A )
| ( A @ sk16 )
| ~ ( A @ aElement0 ) ),
inference(cnfConj,[status(thm)],[22]) ).
thf(119,plain,
! [A: $i] :
( ( A @ sk16 )
| ~ ( A @ aElement0 )
| ( xc != A ) ),
inference(lifteq,[status(thm)],[81]) ).
thf(120,plain,
( ( xc @ sk16 )
| ~ ( xc @ aElement0 ) ),
inference(simp,[status(thm)],[119]) ).
thf(334,plain,
( ( xc @ sk16 )
| ~ $true ),
inference(rewrite,[status(thm)],[120,211]) ).
thf(335,plain,
xc @ sk16,
inference(simp,[status(thm)],[334]) ).
thf(336,plain,
( ~ $true
| ~ ( xc @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ) ),
inference(rewrite,[status(thm)],[288,335]) ).
thf(337,plain,
~ ( xc @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ),
inference(simp,[status(thm)],[336]) ).
thf(350,plain,
( ( ( xc @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
!= ( xc @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27,337]) ).
thf(351,plain,
( ( xc @ ( xR @ ( xa @ sdtmndtasgtdt0 ) ) )
!= ( xc @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ) ),
inference(simp,[status(thm)],[350]) ).
thf(356,plain,
( ( xc != xc )
| ( xR != xR )
| ( xa != xb ) ),
inference(simp,[status(thm)],[351]) ).
thf(359,plain,
xa != xb,
inference(simp,[status(thm)],[356]) ).
thf(362,plain,
xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ),
inference(simplifyReflect,[status(thm)],[124,359]) ).
thf(210,plain,
xb @ aElement0,
inference(cnfConj,[status(thm)],[208]) ).
thf(44,plain,
! [A: $i] :
( ~ ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ( A @ sk16 )
| ~ ( A @ aElement0 ) ),
inference(cnfConj,[status(thm)],[22]) ).
thf(114,plain,
! [A: $i] :
( ~ ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ( A @ sk16 )
| ~ ( A @ aElement0 ) ),
inference(simp,[status(thm)],[44]) ).
thf(6290,plain,
! [A: $i] :
( ( ( xb @ aElement0 )
!= ( A @ aElement0 ) )
| ~ ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ( A @ sk16 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[210,114]) ).
thf(6291,plain,
! [A: $i] :
( ( ( xb @ aElement0 )
!= ( A @ aElement0 ) )
| ~ ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ( A @ sk16 ) ),
inference(simp,[status(thm)],[6290]) ).
thf(6292,plain,
( ~ ( xb @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ( xb @ sk16 ) ),
inference(pattern_uni,[status(thm)],[6291:[bind(A,$thf( xb ))]]) ).
thf(65,plain,
! [A: $i] :
( ~ ( A @ sk16 )
| ( xb != A )
| ~ ( A @ aElement0 ) ),
inference(cnfConj,[status(thm)],[22]) ).
thf(95,plain,
! [A: $i] :
( ~ ( A @ sk16 )
| ~ ( A @ aElement0 )
| ( xb != A ) ),
inference(lifteq,[status(thm)],[65]) ).
thf(96,plain,
( ~ ( xb @ sk16 )
| ~ ( xb @ aElement0 ) ),
inference(simp,[status(thm)],[95]) ).
thf(279,plain,
( ~ ( xb @ sk16 )
| ~ $true ),
inference(rewrite,[status(thm)],[96,210]) ).
thf(280,plain,
~ ( xb @ sk16 ),
inference(simp,[status(thm)],[279]) ).
thf(83,plain,
( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ( xa = xc ) ),
inference(cnfConj,[status(thm)],[22]) ).
thf(141,plain,
( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| ( xc = xa ) ),
inference(lifteq,[status(thm)],[83]) ).
thf(68,plain,
( sk1
| ~ ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| sk2 ),
inference(cnfConj,[status(thm)],[22]) ).
thf(766,plain,
( ( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
!= ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) ) )
| sk1
| ~ $true
| sk2
| ( xc = xa ) ),
inference(paramod_ordered,[status(thm)],[141,68]) ).
thf(767,plain,
( ( ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
!= ( xc @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) ) )
| sk1
| sk2
| ( xc = xa ) ),
inference(simp,[status(thm)],[766]) ).
thf(768,plain,
( sk1
| sk2
| ( xc = xa ) ),
inference(pattern_uni,[status(thm)],[767:[]]) ).
thf(60,plain,
( sk1
| ~ sk2
| ~ ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) ) ),
inference(cnfConj,[status(thm)],[22]) ).
thf(565,plain,
( sk1
| ~ sk2
| ~ $true ),
inference(rewrite,[status(thm)],[60,362]) ).
thf(566,plain,
( sk1
| ~ sk2 ),
inference(simp,[status(thm)],[565]) ).
thf(788,plain,
( ( sk2 != sk2 )
| sk1
| ~ $true
| sk1
| ( xc = xa ) ),
inference(paramod_ordered,[status(thm)],[768,566]) ).
thf(789,plain,
( ( sk2 != sk2 )
| sk1
| ( xc = xa ) ),
inference(simp,[status(thm)],[788]) ).
thf(790,plain,
( sk1
| ( xc = xa ) ),
inference(pattern_uni,[status(thm)],[789:[]]) ).
thf(69,plain,
( ( sk10 @ aElement0 )
| ~ sk1 ),
inference(cnfConj,[status(thm)],[22]) ).
thf(71,plain,
( ( sk10 @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ( xc = sk10 )
| ~ sk1 ),
inference(cnfConj,[status(thm)],[22]) ).
thf(116,plain,
( ( sk10 @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ~ sk1
| ( sk10 = xc ) ),
inference(lifteq,[status(thm)],[71]) ).
thf(33,plain,
( ( sk10 @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
| ~ sk1 ),
inference(cnfConj,[status(thm)],[22]) ).
thf(382,plain,
( ( ( sk10 @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
!= ( xc @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[33,337]) ).
thf(383,plain,
( ( ( sk10 @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
!= ( xc @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ) )
| ~ sk1 ),
inference(simp,[status(thm)],[382]) ).
thf(384,plain,
( ( sk10 != xc )
| ( xR != xR )
| ( xb != xb )
| ~ sk1 ),
inference(simp,[status(thm)],[383]) ).
thf(385,plain,
( ( sk10 != xc )
| ~ sk1 ),
inference(simp,[status(thm)],[384]) ).
thf(6777,plain,
( ( sk10 != sk10 )
| ( xc != xc )
| ~ sk1
| ( sk10 @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[116,385]) ).
thf(6778,plain,
( ( sk10 != sk10 )
| ( sk10 @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ~ sk1 ),
inference(simp,[status(thm)],[6777]) ).
thf(6779,plain,
( ( sk10 @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[6778:[]]) ).
thf(7028,plain,
! [A: $i] :
( ( ( sk10 @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
!= ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) ) )
| ~ $true
| ( A @ sk16 )
| ~ ( A @ aElement0 )
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[6779,114]) ).
thf(7029,plain,
! [A: $i] :
( ( ( sk10 @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) )
!= ( A @ ( xR @ ( xc @ sdtmndtplgtdt0 ) ) ) )
| ( A @ sk16 )
| ~ ( A @ aElement0 )
| ~ sk1 ),
inference(simp,[status(thm)],[7028]) ).
thf(7030,plain,
( ( sk10 @ sk16 )
| ~ ( sk10 @ aElement0 )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[7029:[bind(A,$thf( sk10 ))]]) ).
thf(9516,plain,
( ( ( sk10 @ aElement0 )
!= ( sk10 @ aElement0 ) )
| ( sk10 @ sk16 )
| ~ $true
| ~ sk1
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[69,7030]) ).
thf(9517,plain,
( ( ( sk10 @ aElement0 )
!= ( sk10 @ aElement0 ) )
| ( sk10 @ sk16 )
| ~ sk1 ),
inference(simp,[status(thm)],[9516]) ).
thf(9518,plain,
( ( sk10 @ sk16 )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[9517:[]]) ).
thf(379,plain,
! [A: $i] :
( ( ( sk10 @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
!= ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ) )
| ~ ( A @ sk16 )
| ~ $true
| ~ ( A @ aElement0 )
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[33,93]) ).
thf(380,plain,
! [A: $i] :
( ( ( sk10 @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) )
!= ( A @ ( xR @ ( xb @ sdtmndtasgtdt0 ) ) ) )
| ~ ( A @ sk16 )
| ~ ( A @ aElement0 )
| ~ sk1 ),
inference(simp,[status(thm)],[379]) ).
thf(381,plain,
( ~ ( sk10 @ sk16 )
| ~ ( sk10 @ aElement0 )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[380:[bind(A,$thf( sk10 ))]]) ).
thf(404,plain,
( ( ( sk10 @ aElement0 )
!= ( sk10 @ aElement0 ) )
| ~ ( sk10 @ sk16 )
| ~ $true
| ~ sk1
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[69,381]) ).
thf(405,plain,
( ( ( sk10 @ aElement0 )
!= ( sk10 @ aElement0 ) )
| ~ ( sk10 @ sk16 )
| ~ sk1 ),
inference(simp,[status(thm)],[404]) ).
thf(406,plain,
( ~ ( sk10 @ sk16 )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[405:[]]) ).
thf(9949,plain,
( ( ( sk10 @ sk16 )
!= ( sk10 @ sk16 ) )
| ~ $true
| ~ sk1
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[9518,406]) ).
thf(9950,plain,
( ( ( sk10 @ sk16 )
!= ( sk10 @ sk16 ) )
| ~ sk1 ),
inference(simp,[status(thm)],[9949]) ).
thf(9951,plain,
~ sk1,
inference(pattern_uni,[status(thm)],[9950:[]]) ).
thf(10013,plain,
( $false
| ( xc = xa ) ),
inference(rewrite,[status(thm)],[790,9951]) ).
thf(10014,plain,
xc = xa,
inference(simp,[status(thm)],[10013]) ).
thf(10233,plain,
( ~ ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) )
| $false ),
inference(rewrite,[status(thm)],[6292,280,10014]) ).
thf(10234,plain,
~ ( xb @ ( xR @ ( xa @ sdtmndtplgtdt0 ) ) ),
inference(simp,[status(thm)],[10233]) ).
thf(10235,plain,
$false,
inference(rewrite,[status(thm)],[362,10234]) ).
thf(10236,plain,
$false,
inference(simp,[status(thm)],[10235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM022+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % 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
% 0.17/0.46 % Computer : n010.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sat Sep 26 23:23:18 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 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
% 1.25/1.28 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.10/1.62 % [INFO] Parsing done (338ms).
% 2.10/1.64 % [INFO] Running in sequential loop mode.
% 3.34/2.21 % [INFO] eprover registered as external prover.
% 3.34/2.22 % [INFO] Scanning for conjecture ...
% 3.52/2.33 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.35 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.36 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.37 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.38 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.39 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.93/2.52 % [INFO] Found a conjecture (or negated_conjecture) and 18 axioms. Running axiom selection ...
% 4.12/2.67 % [INFO] Axiom selection finished. Selected 18 axioms (removed 0 axioms).
% 4.12/2.68 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.34/2.70 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.34/2.71 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.34/2.71 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.34/2.72 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.34/2.72 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.34/2.73 % [INFO] Problem is first-order (TPTP FOF).
% 4.34/2.75 % [INFO] Type checking passed.
% 4.34/2.76 % [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 ...
% 41.56/11.97 % [INFO] Killing All external provers ...
% 41.56/11.98 % Time passed: 11312ms (effective reasoning time: 10318ms)
% 41.56/11.98 % 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)>
% 41.56/11.98 % Axioms used in derivation (1): m__731
% 41.56/11.98 % No. of inferences in proof: 83
% 41.56/11.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 11312 ms resp. 10318 ms w/o parsing
% 42.15/12.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 42.15/12.06 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------