%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n001.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 09:44:58 AM UTC 2026
% Result : Theorem 7.01s 3.12s
% Output : Refutation 7.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 107
% Syntax : Number of formulae : 216 ( 105 unt; 0 typ; 0 def)
% Number of atoms : 373 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 546 ( 17 ~; 9 |; 26 &; 372 @)
% ( 3 <=>; 119 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 52 usr; 1 con; 0-1 aty)
% Number of variables : 236 ( 0 ^; 120 !; 116 ?; 236 :)
% Comments :
%------------------------------------------------------------------------------
thf(b48_buttercup10305_decl,type,
b48_buttercup10305: $i > $o ).
thf(k04_buttercup10303_decl,type,
k04_buttercup10303: $i > $o ).
thf(k04_buttercup10430_decl,type,
k04_buttercup10430: $i > $o ).
thf(k04_buttercup10492_decl,type,
k04_buttercup10492: $i > $o ).
thf(k04_buttercup10499_decl,type,
k04_buttercup10499: $i > $o ).
thf(k04_buttercup10325_decl,type,
k04_buttercup10325: $i > $o ).
thf(k04_buttercup10147_decl,type,
k04_buttercup10147: $i > $o ).
thf(k04_buttercup10415_decl,type,
k04_buttercup10415: $i > $o ).
thf(k04_buttercup10200_decl,type,
k04_buttercup10200: $i > $o ).
thf(k04_buttercup10244_decl,type,
k04_buttercup10244: $i > $o ).
thf(k04_buttercup10643_decl,type,
k04_buttercup10643: $i > $o ).
thf(k04_buttercup10628_decl,type,
k04_buttercup10628: $i > $o ).
thf(k04_buttercup10391_decl,type,
k04_buttercup10391: $i > $o ).
thf(k04_buttercup10397_decl,type,
k04_buttercup10397: $i > $o ).
thf(k04_buttercup10084_decl,type,
k04_buttercup10084: $i > $o ).
thf(k04_buttercup10333_decl,type,
k04_buttercup10333: $i > $o ).
thf(k04_buttercup10586_decl,type,
k04_buttercup10586: $i > $o ).
thf(k04_buttercup10581_decl,type,
k04_buttercup10581: $i > $o ).
thf(k04_buttercup10125_decl,type,
k04_buttercup10125: $i > $o ).
thf(k04_buttercup10551_decl,type,
k04_buttercup10551: $i > $o ).
thf(k04_buttercup10611_decl,type,
k04_buttercup10611: $i > $o ).
thf(k04_buttercup10329_decl,type,
k04_buttercup10329: $i > $o ).
thf(k04_buttercup10524_decl,type,
k04_buttercup10524: $i > $o ).
thf(k04_buttercup10184_decl,type,
k04_buttercup10184: $i > $o ).
thf(k04_buttercup10445_decl,type,
k04_buttercup10445: $i > $o ).
thf(k04_buttercup10473_decl,type,
k04_buttercup10473: $i > $o ).
thf(k04_buttercup10437_decl,type,
k04_buttercup10437: $i > $o ).
thf(k04_buttercup10631_decl,type,
k04_buttercup10631: $i > $o ).
thf(k04_buttercup10578_decl,type,
k04_buttercup10578: $i > $o ).
thf(k04_buttercup10079_decl,type,
k04_buttercup10079: $i > $o ).
thf(k04_buttercup10626_decl,type,
k04_buttercup10626: $i > $o ).
thf(k04_buttercup10495_decl,type,
k04_buttercup10495: $i > $o ).
thf(k04_buttercup10181_decl,type,
k04_buttercup10181: $i > $o ).
thf(k04_buttercup10380_decl,type,
k04_buttercup10380: $i > $o ).
thf(k04_buttercup10385_decl,type,
k04_buttercup10385: $i > $o ).
thf(k04_buttercup10470_decl,type,
k04_buttercup10470: $i > $o ).
thf(k04_buttercup10424_decl,type,
k04_buttercup10424: $i > $o ).
thf(k04_buttercup10312_decl,type,
k04_buttercup10312: $i > $o ).
thf(k04_buttercup10529_decl,type,
k04_buttercup10529: $i > $o ).
thf(k04_buttercup10510_decl,type,
k04_buttercup10510: $i > $o ).
thf(k04_buttercup10356_decl,type,
k04_buttercup10356: $i > $o ).
thf(k04_buttercup10252_decl,type,
k04_buttercup10252: $i > $o ).
thf(k04_buttercup10535_decl,type,
k04_buttercup10535: $i > $o ).
thf(k04_buttercup10389_decl,type,
k04_buttercup10389: $i > $o ).
thf(k04_buttercup10382_decl,type,
k04_buttercup10382: $i > $o ).
thf(k04_buttercup10089_decl,type,
k04_buttercup10089: $i > $o ).
thf(k04_buttercup10504_decl,type,
k04_buttercup10504: $i > $o ).
thf(k04_buttercup10039_decl,type,
k04_buttercup10039: $i > $o ).
thf(b48_buttercup10300_decl,type,
b48_buttercup10300: $i > $o ).
thf(k04_buttercup10012_decl,type,
k04_buttercup10012: $i > $o ).
thf(b48_buttercup10307_decl,type,
b48_buttercup10307: $i > $o ).
thf(b48_buttercup10308_decl,type,
b48_buttercup10308: $i > $o ).
thf(10,axiom,
? [A: $i] : ( A @ k04_buttercup10244 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_615) ).
thf(138,plain,
? [A: $i] : ( A @ k04_buttercup10244 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(58,axiom,
! [A: $i] :
( ( A @ k04_buttercup10125 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_76) ).
thf(234,plain,
! [A: $i] :
( ( A @ k04_buttercup10125 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(26,axiom,
? [A: $i] : ( A @ k04_buttercup10473 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_556) ).
thf(170,plain,
? [A: $i] : ( A @ k04_buttercup10473 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(79,axiom,
! [A: $i] :
( ( A @ k04_buttercup10391 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_91) ).
thf(276,plain,
! [A: $i] :
( ( A @ k04_buttercup10391 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(95,axiom,
! [A: $i] :
( ( A @ k04_buttercup10200 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).
thf(308,plain,
! [A: $i] :
( ( A @ k04_buttercup10200 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(42,axiom,
? [A: $i] : ( A @ k04_buttercup10252 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_601) ).
thf(202,plain,
? [A: $i] : ( A @ k04_buttercup10252 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(12,axiom,
? [A: $i] : ( A @ k04_buttercup10628 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_564) ).
thf(142,plain,
? [A: $i] : ( A @ k04_buttercup10628 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(106,axiom,
! [A: $i] :
( ( A @ k04_buttercup10303 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_56) ).
thf(340,plain,
! [A: $i] :
( ( A @ k04_buttercup10303 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(28,axiom,
? [A: $i] : ( A @ k04_buttercup10631 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_543) ).
thf(174,plain,
? [A: $i] : ( A @ k04_buttercup10631 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(85,axiom,
! [A: $i] :
( ( A @ k04_buttercup10578 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_118) ).
thf(288,plain,
! [A: $i] :
( ( A @ k04_buttercup10578 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(101,axiom,
? [A: $i] : ( A @ b48_buttercup10305 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_749) ).
thf(320,plain,
? [A: $i] : ( A @ b48_buttercup10305 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(33,axiom,
? [A: $i] : ( A @ k04_buttercup10181 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_646) ).
thf(184,plain,
? [A: $i] : ( A @ k04_buttercup10181 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(108,axiom,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10308 )
& ( A @ k04_buttercup10303 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10308 )
=> ( A @ k04_buttercup10303 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_479) ).
thf(344,plain,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10308 )
& ( A @ k04_buttercup10303 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10308 )
=> ( A @ k04_buttercup10303 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(39,axiom,
? [A: $i] : ( A @ k04_buttercup10529 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_656) ).
thf(196,plain,
? [A: $i] : ( A @ k04_buttercup10529 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(83,axiom,
! [A: $i] :
( ( A @ k04_buttercup10445 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_100) ).
thf(284,plain,
! [A: $i] :
( ( A @ k04_buttercup10445 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(17,axiom,
? [A: $i] : ( A @ k04_buttercup10586 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_563) ).
thf(152,plain,
? [A: $i] : ( A @ k04_buttercup10586 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ k04_buttercup10356 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
thf(228,plain,
! [A: $i] :
( ( A @ k04_buttercup10356 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(99,axiom,
! [A: $i] :
( ( A @ k04_buttercup10039 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_66) ).
thf(316,plain,
! [A: $i] :
( ( A @ k04_buttercup10039 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(49,axiom,
? [A: $i] : ( A @ b48_buttercup10300 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_857) ).
thf(216,plain,
? [A: $i] : ( A @ b48_buttercup10300 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(23,axiom,
? [A: $i] : ( A @ k04_buttercup10524 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_660) ).
thf(164,plain,
? [A: $i] : ( A @ k04_buttercup10524 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(60,axiom,
! [A: $i] :
( ( A @ k04_buttercup10529 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_112) ).
thf(238,plain,
! [A: $i] :
( ( A @ k04_buttercup10529 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(81,axiom,
! [A: $i] :
( ( A @ k04_buttercup10510 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_109) ).
thf(280,plain,
! [A: $i] :
( ( A @ k04_buttercup10510 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(7,axiom,
? [A: $i] : ( A @ k04_buttercup10147 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_606) ).
thf(132,plain,
? [A: $i] : ( A @ k04_buttercup10147 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(97,axiom,
! [A: $i] :
( ( A @ k04_buttercup10312 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_57) ).
thf(312,plain,
! [A: $i] :
( ( A @ k04_buttercup10312 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(44,axiom,
? [A: $i] : ( A @ k04_buttercup10389 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_566) ).
thf(206,plain,
? [A: $i] : ( A @ k04_buttercup10389 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(87,axiom,
? [A: $i] : ( A @ b48_buttercup10308 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_884) ).
thf(292,plain,
? [A: $i] : ( A @ b48_buttercup10308 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(65,axiom,
! [A: $i] :
( ( A @ k04_buttercup10181 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_84) ).
thf(248,plain,
! [A: $i] :
( ( A @ k04_buttercup10181 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(76,axiom,
! [A: $i] :
( ( A @ k04_buttercup10499 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_107) ).
thf(270,plain,
! [A: $i] :
( ( A @ k04_buttercup10499 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(51,axiom,
! [A: $i] :
( ( A @ k04_buttercup10084 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_71) ).
thf(220,plain,
! [A: $i] :
( ( A @ k04_buttercup10084 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(92,axiom,
! [A: $i] :
( ( A @ k04_buttercup10424 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_97) ).
thf(302,plain,
! [A: $i] :
( ( A @ k04_buttercup10424 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(71,axiom,
? [A: $i] : ( A @ b48_buttercup10307 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_747) ).
thf(260,plain,
? [A: $i] : ( A @ b48_buttercup10307 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(21,axiom,
? [A: $i] : ( A @ k04_buttercup10611 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_587) ).
thf(160,plain,
? [A: $i] : ( A @ k04_buttercup10611 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(37,axiom,
? [A: $i] : ( A @ k04_buttercup10424 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_644) ).
thf(192,plain,
? [A: $i] : ( A @ k04_buttercup10424 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(67,axiom,
! [A: $i] :
( ( A @ k04_buttercup10504 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_108) ).
thf(252,plain,
! [A: $i] :
( ( A @ k04_buttercup10504 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(53,axiom,
! [A: $i] :
( ( A @ k04_buttercup10581 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_119) ).
thf(224,plain,
! [A: $i] :
( ( A @ k04_buttercup10581 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(19,axiom,
? [A: $i] : ( A @ k04_buttercup10125 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_610) ).
thf(156,plain,
? [A: $i] : ( A @ k04_buttercup10125 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(35,axiom,
? [A: $i] : ( A @ k04_buttercup10385 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_572) ).
thf(188,plain,
? [A: $i] : ( A @ k04_buttercup10385 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(3,axiom,
? [A: $i] : ( A @ k04_buttercup10430 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_632) ).
thf(124,plain,
? [A: $i] : ( A @ k04_buttercup10430 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(47,axiom,
? [A: $i] : ( A @ k04_buttercup10504 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_550) ).
thf(212,plain,
? [A: $i] : ( A @ k04_buttercup10504 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ~ ( A @ k04_buttercup10303 ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10305 )
& ( A @ k04_buttercup10303 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ( A @ k04_buttercup10303 ) ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10303 )
& ( A @ b48_buttercup10305 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10303 )
=> ( A @ b48_buttercup10305 ) ) )
| ! [A: $i] :
( ( A @ b48_buttercup10305 )
<=> ( A @ k04_buttercup10303 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_886) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ~ ( A @ k04_buttercup10303 ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10305 )
& ( A @ k04_buttercup10303 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ( A @ k04_buttercup10303 ) ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10303 )
& ( A @ b48_buttercup10305 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10303 )
=> ( A @ b48_buttercup10305 ) ) )
| ! [A: $i] :
( ( A @ b48_buttercup10305 )
<=> ( A @ k04_buttercup10303 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(109,plain,
~ ( ! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ~ ( A @ k04_buttercup10303 ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10305 )
& ( A @ k04_buttercup10303 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ( A @ k04_buttercup10303 ) ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10303 )
& ( A @ b48_buttercup10305 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10303 )
=> ( A @ b48_buttercup10305 ) ) )
| ! [A: $i] :
( ( ( A @ k04_buttercup10303 )
=> ( A @ b48_buttercup10305 ) )
& ( ( A @ b48_buttercup10305 )
=> ( A @ k04_buttercup10303 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(69,axiom,
! [A: $i] :
( ( A @ k04_buttercup10437 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_99) ).
thf(256,plain,
! [A: $i] :
( ( A @ k04_buttercup10437 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(8,axiom,
? [A: $i] : ( A @ k04_buttercup10415 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_602) ).
thf(134,plain,
? [A: $i] : ( A @ k04_buttercup10415 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
? [A: $i] : ( A @ k04_buttercup10499 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_595) ).
thf(128,plain,
? [A: $i] : ( A @ k04_buttercup10499 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(63,axiom,
! [A: $i] :
( ( A @ k04_buttercup10389 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_90) ).
thf(244,plain,
! [A: $i] :
( ( A @ k04_buttercup10389 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(74,axiom,
! [A: $i] :
( ( A @ k04_buttercup10184 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
thf(266,plain,
! [A: $i] :
( ( A @ k04_buttercup10184 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(90,axiom,
! [A: $i] :
( ( A @ b48_buttercup10308 )
=> ( A @ b48_buttercup10300 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_134) ).
thf(298,plain,
! [A: $i] :
( ( A @ b48_buttercup10308 )
=> ( A @ b48_buttercup10300 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(24,axiom,
? [A: $i] : ( A @ k04_buttercup10184 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_528) ).
thf(166,plain,
? [A: $i] : ( A @ k04_buttercup10184 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(15,axiom,
? [A: $i] : ( A @ k04_buttercup10084 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_533) ).
thf(148,plain,
? [A: $i] : ( A @ k04_buttercup10084 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(73,axiom,
! [A: $i] :
( ( A @ b48_buttercup10307 )
=> ( A @ b48_buttercup10300 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_133) ).
thf(264,plain,
! [A: $i] :
( ( A @ b48_buttercup10307 )
=> ( A @ b48_buttercup10300 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(31,axiom,
? [A: $i] : ( A @ k04_buttercup10626 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_558) ).
thf(180,plain,
? [A: $i] : ( A @ k04_buttercup10626 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(89,axiom,
! [A: $i] :
( ( A @ k04_buttercup10397 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_92) ).
thf(296,plain,
! [A: $i] :
( ( A @ k04_buttercup10397 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(29,axiom,
? [A: $i] : ( A @ k04_buttercup10578 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_620) ).
thf(176,plain,
? [A: $i] : ( A @ k04_buttercup10578 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(84,axiom,
! [A: $i] :
( ( A @ k04_buttercup10385 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_89) ).
thf(286,plain,
! [A: $i] :
( ( A @ k04_buttercup10385 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(43,axiom,
? [A: $i] : ( A @ k04_buttercup10535 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_538) ).
thf(204,plain,
? [A: $i] : ( A @ k04_buttercup10535 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(13,axiom,
? [A: $i] : ( A @ k04_buttercup10391 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_583) ).
thf(144,plain,
? [A: $i] : ( A @ k04_buttercup10391 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(59,axiom,
! [A: $i] :
( ( A @ k04_buttercup10631 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_127) ).
thf(236,plain,
! [A: $i] :
( ( A @ k04_buttercup10631 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(27,axiom,
? [A: $i] : ( A @ k04_buttercup10437 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_635) ).
thf(172,plain,
? [A: $i] : ( A @ k04_buttercup10437 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ k04_buttercup10551 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_115) ).
thf(274,plain,
! [A: $i] :
( ( A @ k04_buttercup10551 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ k04_buttercup10495 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_106) ).
thf(230,plain,
! [A: $i] :
( ( A @ k04_buttercup10495 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(100,axiom,
! [A: $i] :
( ( A @ k04_buttercup10147 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_80) ).
thf(318,plain,
! [A: $i] :
( ( A @ k04_buttercup10147 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(45,axiom,
? [A: $i] : ( A @ k04_buttercup10382 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_568) ).
thf(208,plain,
? [A: $i] : ( A @ k04_buttercup10382 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(11,axiom,
? [A: $i] : ( A @ k04_buttercup10643 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_653) ).
thf(140,plain,
? [A: $i] : ( A @ k04_buttercup10643 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ k04_buttercup10415 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_95) ).
thf(240,plain,
! [A: $i] :
( ( A @ k04_buttercup10415 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(40,axiom,
? [A: $i] : ( A @ k04_buttercup10510 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_573) ).
thf(198,plain,
? [A: $i] : ( A @ k04_buttercup10510 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(6,axiom,
? [A: $i] : ( A @ k04_buttercup10325 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_613) ).
thf(130,plain,
? [A: $i] : ( A @ k04_buttercup10325 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ k04_buttercup10244 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
thf(278,plain,
! [A: $i] :
( ( A @ k04_buttercup10244 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(94,axiom,
! [A: $i] :
( ( A @ k04_buttercup10333 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_61) ).
thf(306,plain,
! [A: $i] :
( ( A @ k04_buttercup10333 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(54,axiom,
! [A: $i] :
( ( A @ k04_buttercup10626 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_125) ).
thf(226,plain,
! [A: $i] :
( ( A @ k04_buttercup10626 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(22,axiom,
? [A: $i] : ( A @ k04_buttercup10329 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_611) ).
thf(162,plain,
? [A: $i] : ( A @ k04_buttercup10329 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(107,axiom,
? [A: $i] : ( A @ k04_buttercup10303 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_578) ).
thf(342,plain,
? [A: $i] : ( A @ k04_buttercup10303 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(38,axiom,
? [A: $i] : ( A @ k04_buttercup10312 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_597) ).
thf(194,plain,
? [A: $i] : ( A @ k04_buttercup10312 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(82,axiom,
! [A: $i] :
( ( A @ k04_buttercup10325 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
thf(282,plain,
! [A: $i] :
( ( A @ k04_buttercup10325 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(16,axiom,
? [A: $i] : ( A @ k04_buttercup10333 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_626) ).
thf(150,plain,
? [A: $i] : ( A @ k04_buttercup10333 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(103,axiom,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10305 )
& ( A @ k04_buttercup10303 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ( A @ k04_buttercup10303 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_320) ).
thf(327,plain,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10305 )
& ( A @ k04_buttercup10303 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ( A @ k04_buttercup10303 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(96,axiom,
! [A: $i] :
( ( A @ k04_buttercup10382 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_88) ).
thf(310,plain,
! [A: $i] :
( ( A @ k04_buttercup10382 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(32,axiom,
? [A: $i] : ( A @ k04_buttercup10495 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_590) ).
thf(182,plain,
? [A: $i] : ( A @ k04_buttercup10495 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(105,axiom,
! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ( A @ b48_buttercup10300 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_132) ).
thf(338,plain,
! [A: $i] :
( ( A @ b48_buttercup10305 )
=> ( A @ b48_buttercup10300 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(18,axiom,
? [A: $i] : ( A @ k04_buttercup10581 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_614) ).
thf(154,plain,
? [A: $i] : ( A @ k04_buttercup10581 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(98,axiom,
! [A: $i] :
( ( A @ k04_buttercup10492 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_105) ).
thf(314,plain,
! [A: $i] :
( ( A @ k04_buttercup10492 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(66,axiom,
! [A: $i] :
( ( A @ k04_buttercup10524 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_111) ).
thf(250,plain,
! [A: $i] :
( ( A @ k04_buttercup10524 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(50,axiom,
! [A: $i] :
( ( A @ k04_buttercup10430 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_98) ).
thf(218,plain,
! [A: $i] :
( ( A @ k04_buttercup10430 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(93,axiom,
! [A: $i] :
( ( A @ k04_buttercup10643 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_129) ).
thf(304,plain,
! [A: $i] :
( ( A @ k04_buttercup10643 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(70,axiom,
! [A: $i] :
( ( A @ k04_buttercup10586 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_120) ).
thf(258,plain,
! [A: $i] :
( ( A @ k04_buttercup10586 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(20,axiom,
? [A: $i] : ( A @ k04_buttercup10551 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_641) ).
thf(158,plain,
? [A: $i] : ( A @ k04_buttercup10551 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(34,axiom,
? [A: $i] : ( A @ k04_buttercup10380 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_569) ).
thf(186,plain,
? [A: $i] : ( A @ k04_buttercup10380 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(86,axiom,
! [A: $i] :
( ( A @ k04_buttercup10079 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_70) ).
thf(290,plain,
! [A: $i] :
( ( A @ k04_buttercup10079 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(64,axiom,
! [A: $i] :
( ( A @ k04_buttercup10628 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_126) ).
thf(246,plain,
! [A: $i] :
( ( A @ k04_buttercup10628 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(77,axiom,
! [A: $i] :
( ( A @ k04_buttercup10535 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_113) ).
thf(272,plain,
! [A: $i] :
( ( A @ k04_buttercup10535 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(48,axiom,
? [A: $i] : ( A @ k04_buttercup10039 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_623) ).
thf(214,plain,
? [A: $i] : ( A @ k04_buttercup10039 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(91,axiom,
! [A: $i] :
( ( A @ k04_buttercup10329 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_60) ).
thf(300,plain,
! [A: $i] :
( ( A @ k04_buttercup10329 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(14,axiom,
? [A: $i] : ( A @ k04_buttercup10397 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_589) ).
thf(146,plain,
? [A: $i] : ( A @ k04_buttercup10397 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(36,axiom,
? [A: $i] : ( A @ k04_buttercup10470 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_555) ).
thf(190,plain,
? [A: $i] : ( A @ k04_buttercup10470 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(25,axiom,
? [A: $i] : ( A @ k04_buttercup10445 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_542) ).
thf(168,plain,
? [A: $i] : ( A @ k04_buttercup10445 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(72,axiom,
! [A: $i] :
( ( A @ k04_buttercup10252 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_53) ).
thf(262,plain,
! [A: $i] :
( ( A @ k04_buttercup10252 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(46,axiom,
? [A: $i] : ( A @ k04_buttercup10089 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_617) ).
thf(210,plain,
? [A: $i] : ( A @ k04_buttercup10089 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(62,axiom,
! [A: $i] :
( ( A @ k04_buttercup10470 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_102) ).
thf(242,plain,
! [A: $i] :
( ( A @ k04_buttercup10470 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(75,axiom,
! [A: $i] :
( ( A @ k04_buttercup10380 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_87) ).
thf(268,plain,
! [A: $i] :
( ( A @ k04_buttercup10380 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(88,axiom,
! [A: $i] :
( ( A @ k04_buttercup10611 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_123) ).
thf(294,plain,
! [A: $i] :
( ( A @ k04_buttercup10611 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(4,axiom,
? [A: $i] : ( A @ k04_buttercup10492 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_591) ).
thf(126,plain,
? [A: $i] : ( A @ k04_buttercup10492 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
? [A: $i] : ( A @ k04_buttercup10200 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_535) ).
thf(136,plain,
? [A: $i] : ( A @ k04_buttercup10200 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(104,axiom,
! [A: $i] :
( ( A @ k04_buttercup10303 )
<=> ( A @ b48_buttercup10300 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_322) ).
thf(332,plain,
! [A: $i] :
( ( ( A @ b48_buttercup10300 )
=> ( A @ k04_buttercup10303 ) )
& ( ( A @ k04_buttercup10303 )
=> ( A @ b48_buttercup10300 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(41,axiom,
? [A: $i] : ( A @ k04_buttercup10356 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_665) ).
thf(200,plain,
? [A: $i] : ( A @ k04_buttercup10356 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(30,axiom,
? [A: $i] : ( A @ k04_buttercup10079 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_548) ).
thf(178,plain,
? [A: $i] : ( A @ k04_buttercup10079 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(68,axiom,
? [A: $i] : ( A @ k04_buttercup10012 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_586) ).
thf(254,plain,
? [A: $i] : ( A @ k04_buttercup10012 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(102,axiom,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10307 )
& ( A @ k04_buttercup10303 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10307 )
=> ( A @ k04_buttercup10303 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_323) ).
thf(322,plain,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10307 )
& ( A @ k04_buttercup10303 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10307 )
=> ( A @ k04_buttercup10303 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(52,axiom,
! [A: $i] :
( ( A @ k04_buttercup10089 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_72) ).
thf(222,plain,
! [A: $i] :
( ( A @ k04_buttercup10089 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ k04_buttercup10473 )
=> ( A @ k04_buttercup10012 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_103) ).
thf(232,plain,
! [A: $i] :
( ( A @ k04_buttercup10473 )
=> ( A @ k04_buttercup10012 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(349,plain,
$false,
inference(e,[status(thm)],[138,234,170,276,308,202,142,340,174,288,320,184,344,196,284,152,228,316,216,164,238,280,132,312,206,292,248,270,220,302,260,160,192,252,224,156,188,124,212,109,256,134,128,244,266,298,166,148,264,180,296,176,286,204,144,236,172,274,230,318,208,140,240,198,130,278,306,226,162,342,194,282,150,327,310,182,338,154,314,250,218,304,258,158,186,290,246,272,214,300,146,190,168,262,210,242,268,294,126,136,332,200,178,254,322,222,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% 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
% 0.14/0.40 % Computer : n001.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 19:36:15 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.95/1.37 % [INFO] Parsing done (383ms).
% 1.95/1.39 % [INFO] Running in sequential loop mode.
% 3.27/1.78 % [INFO] eprover registered as external prover.
% 3.27/1.79 % [INFO] Scanning for conjecture ...
% 3.72/1.93 % [INFO] Found a conjecture (or negated_conjecture) and 885 axioms. Running axiom selection ...
% 3.72/2.05 % [INFO] Axiom selection finished. Selected 106 axioms (removed 779 axioms).
% 4.05/2.12 % [INFO] Problem is first-order (TPTP FOF).
% 4.05/2.13 % [INFO] Type checking passed.
% 4.05/2.14 % [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 ...
% 7.01/3.11 % External prover 'e' found a proof!
% 7.01/3.11 % [INFO] Killing All external provers ...
% 7.01/3.11 % Time passed: 2561ms (effective reasoning time: 1717ms)
% 7.01/3.11 % 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)>
% 7.01/3.12 % Axioms used in derivation (106): sos_568, sos_538, sos_102, sos_653, sos_550, sos_665, sos_548, sos_108, sos_133, sos_91, sos_80, sos_119, sos_63, sos_635, sos_591, sos_644, sos_107, sos_602, sos_884, sos_56, sos_660, sos_563, sos_620, sos_95, sos_45, sos_118, sos_542, sos_103, sos_558, sos_322, sos_92, sos_52, sos_59, sos_126, sos_613, sos_626, sos_70, sos_123, sos_578, sos_556, sos_90, sos_632, sos_89, sos_106, sos_857, sos_589, sos_109, sos_113, sos_610, sos_97, sos_127, sos_535, sos_120, sos_528, sos_614, sos_61, sos_66, sos_105, sos_566, sos_572, sos_87, sos_615, sos_57, sos_320, sos_573, sos_595, sos_98, sos_132, sos_611, sos_646, sos_134, sos_112, sos_749, sos_125, sos_606, sos_747, sos_71, sos_617, sos_586, sos_129, sos_641, sos_84, sos_60, sos_590, sos_597, sos_76, sos_587, sos_100, sos_88, sos_533, sos_47, sos_323, sos_583, sos_111, sos_601, sos_72, sos_479, sos_564, sos_623, sos_656, sos_53, sos_543, sos_115, sos_555, sos_569, sos_99
% 7.01/3.12 % No. of inferences in proof: 216
% 7.01/3.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2561 ms resp. 1717 ms w/o parsing
% 7.64/3.23 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.64/3.24 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------