TSTP Solution File: SYO580+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:36:27 EDT 2023
% Result : Theorem 5.01s 2.12s
% Output : Refutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 159
% Syntax : Number of formulae : 268 ( 105 unt; 52 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 : 52 ( 52 >; 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_type,type,
b48_buttercup10305: $i > $o ).
thf(k04_buttercup10303_type,type,
k04_buttercup10303: $i > $o ).
thf(k04_buttercup10430_type,type,
k04_buttercup10430: $i > $o ).
thf(k04_buttercup10492_type,type,
k04_buttercup10492: $i > $o ).
thf(k04_buttercup10499_type,type,
k04_buttercup10499: $i > $o ).
thf(k04_buttercup10325_type,type,
k04_buttercup10325: $i > $o ).
thf(k04_buttercup10147_type,type,
k04_buttercup10147: $i > $o ).
thf(k04_buttercup10415_type,type,
k04_buttercup10415: $i > $o ).
thf(k04_buttercup10200_type,type,
k04_buttercup10200: $i > $o ).
thf(k04_buttercup10244_type,type,
k04_buttercup10244: $i > $o ).
thf(k04_buttercup10643_type,type,
k04_buttercup10643: $i > $o ).
thf(k04_buttercup10628_type,type,
k04_buttercup10628: $i > $o ).
thf(k04_buttercup10391_type,type,
k04_buttercup10391: $i > $o ).
thf(k04_buttercup10397_type,type,
k04_buttercup10397: $i > $o ).
thf(k04_buttercup10084_type,type,
k04_buttercup10084: $i > $o ).
thf(k04_buttercup10333_type,type,
k04_buttercup10333: $i > $o ).
thf(k04_buttercup10586_type,type,
k04_buttercup10586: $i > $o ).
thf(k04_buttercup10581_type,type,
k04_buttercup10581: $i > $o ).
thf(k04_buttercup10125_type,type,
k04_buttercup10125: $i > $o ).
thf(k04_buttercup10551_type,type,
k04_buttercup10551: $i > $o ).
thf(k04_buttercup10611_type,type,
k04_buttercup10611: $i > $o ).
thf(k04_buttercup10329_type,type,
k04_buttercup10329: $i > $o ).
thf(k04_buttercup10524_type,type,
k04_buttercup10524: $i > $o ).
thf(k04_buttercup10184_type,type,
k04_buttercup10184: $i > $o ).
thf(k04_buttercup10445_type,type,
k04_buttercup10445: $i > $o ).
thf(k04_buttercup10473_type,type,
k04_buttercup10473: $i > $o ).
thf(k04_buttercup10437_type,type,
k04_buttercup10437: $i > $o ).
thf(k04_buttercup10631_type,type,
k04_buttercup10631: $i > $o ).
thf(k04_buttercup10578_type,type,
k04_buttercup10578: $i > $o ).
thf(k04_buttercup10079_type,type,
k04_buttercup10079: $i > $o ).
thf(k04_buttercup10626_type,type,
k04_buttercup10626: $i > $o ).
thf(k04_buttercup10495_type,type,
k04_buttercup10495: $i > $o ).
thf(k04_buttercup10181_type,type,
k04_buttercup10181: $i > $o ).
thf(k04_buttercup10380_type,type,
k04_buttercup10380: $i > $o ).
thf(k04_buttercup10385_type,type,
k04_buttercup10385: $i > $o ).
thf(k04_buttercup10470_type,type,
k04_buttercup10470: $i > $o ).
thf(k04_buttercup10424_type,type,
k04_buttercup10424: $i > $o ).
thf(k04_buttercup10312_type,type,
k04_buttercup10312: $i > $o ).
thf(k04_buttercup10529_type,type,
k04_buttercup10529: $i > $o ).
thf(k04_buttercup10510_type,type,
k04_buttercup10510: $i > $o ).
thf(k04_buttercup10356_type,type,
k04_buttercup10356: $i > $o ).
thf(k04_buttercup10252_type,type,
k04_buttercup10252: $i > $o ).
thf(k04_buttercup10535_type,type,
k04_buttercup10535: $i > $o ).
thf(k04_buttercup10389_type,type,
k04_buttercup10389: $i > $o ).
thf(k04_buttercup10382_type,type,
k04_buttercup10382: $i > $o ).
thf(k04_buttercup10089_type,type,
k04_buttercup10089: $i > $o ).
thf(k04_buttercup10504_type,type,
k04_buttercup10504: $i > $o ).
thf(k04_buttercup10039_type,type,
k04_buttercup10039: $i > $o ).
thf(b48_buttercup10300_type,type,
b48_buttercup10300: $i > $o ).
thf(k04_buttercup10012_type,type,
k04_buttercup10012: $i > $o ).
thf(b48_buttercup10307_type,type,
b48_buttercup10307: $i > $o ).
thf(b48_buttercup10308_type,type,
b48_buttercup10308: $i > $o ).
thf(66,axiom,
! [A: $i] :
( ( k04_buttercup10524 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_111) ).
thf(249,plain,
! [A: $i] :
( ( k04_buttercup10524 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(50,axiom,
! [A: $i] :
( ( k04_buttercup10430 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_98) ).
thf(217,plain,
! [A: $i] :
( ( k04_buttercup10430 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(65,axiom,
! [A: $i] :
( ( k04_buttercup10181 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_84) ).
thf(247,plain,
! [A: $i] :
( ( k04_buttercup10181 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(76,axiom,
! [A: $i] :
( ( k04_buttercup10499 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_107) ).
thf(269,plain,
! [A: $i] :
( ( k04_buttercup10499 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(108,axiom,
( ! [A: $i] :
( ( b48_buttercup10308 @ A )
=> ( k04_buttercup10303 @ A ) )
& ? [A: $i] :
( ( k04_buttercup10303 @ A )
& ~ ( b48_buttercup10308 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_479) ).
thf(340,plain,
( ! [A: $i] :
( ( b48_buttercup10308 @ A )
=> ( k04_buttercup10303 @ A ) )
& ? [A: $i] :
( ( k04_buttercup10303 @ A )
& ~ ( b48_buttercup10308 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(18,axiom,
? [A: $i] : ( k04_buttercup10581 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_614) ).
thf(153,plain,
? [A: $i] : ( k04_buttercup10581 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(34,axiom,
? [A: $i] : ( k04_buttercup10380 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_569) ).
thf(185,plain,
? [A: $i] : ( k04_buttercup10380 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(92,axiom,
! [A: $i] :
( ( k04_buttercup10424 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_97) ).
thf(301,plain,
! [A: $i] :
( ( k04_buttercup10424 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(70,axiom,
! [A: $i] :
( ( k04_buttercup10586 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_120) ).
thf(257,plain,
! [A: $i] :
( ( k04_buttercup10586 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(4,axiom,
? [A: $i] : ( k04_buttercup10492 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_591) ).
thf(125,plain,
? [A: $i] : ( k04_buttercup10492 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,axiom,
? [A: $i] : ( k04_buttercup10551 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_641) ).
thf(157,plain,
? [A: $i] : ( k04_buttercup10551 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(36,axiom,
? [A: $i] : ( k04_buttercup10470 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_555) ).
thf(189,plain,
? [A: $i] : ( k04_buttercup10470 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(103,axiom,
( ! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ( k04_buttercup10303 @ A ) )
& ? [A: $i] :
( ( k04_buttercup10303 @ A )
& ~ ( b48_buttercup10305 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_320) ).
thf(325,plain,
( ! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ( k04_buttercup10303 @ A ) )
& ? [A: $i] :
( ( k04_buttercup10303 @ A )
& ~ ( b48_buttercup10305 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(86,axiom,
! [A: $i] :
( ( k04_buttercup10079 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_70) ).
thf(289,plain,
! [A: $i] :
( ( k04_buttercup10079 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(72,axiom,
! [A: $i] :
( ( k04_buttercup10252 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_53) ).
thf(261,plain,
! [A: $i] :
( ( k04_buttercup10252 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(31,axiom,
? [A: $i] : ( k04_buttercup10626 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_558) ).
thf(179,plain,
? [A: $i] : ( k04_buttercup10626 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(102,axiom,
( ! [A: $i] :
( ( b48_buttercup10307 @ A )
=> ( k04_buttercup10303 @ A ) )
& ? [A: $i] :
( ( k04_buttercup10303 @ A )
& ~ ( b48_buttercup10307 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_323) ).
thf(321,plain,
( ! [A: $i] :
( ( b48_buttercup10307 @ A )
=> ( k04_buttercup10303 @ A ) )
& ? [A: $i] :
( ( k04_buttercup10303 @ A )
& ~ ( b48_buttercup10307 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(47,axiom,
? [A: $i] : ( k04_buttercup10504 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_550) ).
thf(211,plain,
? [A: $i] : ( k04_buttercup10504 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(68,axiom,
? [A: $i] : ( k04_buttercup10012 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_586) ).
thf(253,plain,
? [A: $i] : ( k04_buttercup10012 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(15,axiom,
? [A: $i] : ( k04_buttercup10084 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_533) ).
thf(147,plain,
? [A: $i] : ( k04_buttercup10084 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(52,axiom,
! [A: $i] :
( ( k04_buttercup10089 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_72) ).
thf(221,plain,
! [A: $i] :
( ( k04_buttercup10089 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(88,axiom,
! [A: $i] :
( ( k04_buttercup10611 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_123) ).
thf(293,plain,
! [A: $i] :
( ( k04_buttercup10611 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(8,axiom,
? [A: $i] : ( k04_buttercup10415 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_602) ).
thf(133,plain,
? [A: $i] : ( k04_buttercup10415 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(63,axiom,
! [A: $i] :
( ( k04_buttercup10389 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_90) ).
thf(243,plain,
! [A: $i] :
( ( k04_buttercup10389 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(74,axiom,
! [A: $i] :
( ( k04_buttercup10184 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
thf(265,plain,
! [A: $i] :
( ( k04_buttercup10184 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(95,axiom,
! [A: $i] :
( ( k04_buttercup10200 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).
thf(307,plain,
! [A: $i] :
( ( k04_buttercup10200 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(58,axiom,
! [A: $i] :
( ( k04_buttercup10125 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_76) ).
thf(233,plain,
! [A: $i] :
( ( k04_buttercup10125 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(42,axiom,
? [A: $i] : ( k04_buttercup10252 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_601) ).
thf(201,plain,
? [A: $i] : ( k04_buttercup10252 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(105,axiom,
! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ( b48_buttercup10300 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_132) ).
thf(334,plain,
! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ( b48_buttercup10300 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(90,axiom,
! [A: $i] :
( ( b48_buttercup10308 @ A )
=> ( b48_buttercup10300 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_134) ).
thf(297,plain,
! [A: $i] :
( ( b48_buttercup10308 @ A )
=> ( b48_buttercup10300 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(24,axiom,
? [A: $i] : ( k04_buttercup10184 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_528) ).
thf(165,plain,
? [A: $i] : ( k04_buttercup10184 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(79,axiom,
! [A: $i] :
( ( k04_buttercup10391 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_91) ).
thf(275,plain,
! [A: $i] :
( ( k04_buttercup10391 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(10,axiom,
? [A: $i] : ( k04_buttercup10244 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_615) ).
thf(137,plain,
? [A: $i] : ( k04_buttercup10244 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(56,axiom,
! [A: $i] :
( ( k04_buttercup10495 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_106) ).
thf(229,plain,
! [A: $i] :
( ( k04_buttercup10495 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(40,axiom,
? [A: $i] : ( k04_buttercup10510 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_573) ).
thf(197,plain,
? [A: $i] : ( k04_buttercup10510 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(104,axiom,
! [A: $i] :
( ( k04_buttercup10303 @ A )
<=> ( b48_buttercup10300 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_322) ).
thf(329,plain,
! [A: $i] :
( ( ( k04_buttercup10303 @ A )
=> ( b48_buttercup10300 @ A ) )
& ( ( b48_buttercup10300 @ A )
=> ( k04_buttercup10303 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(84,axiom,
! [A: $i] :
( ( k04_buttercup10385 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_89) ).
thf(285,plain,
! [A: $i] :
( ( k04_buttercup10385 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(100,axiom,
! [A: $i] :
( ( k04_buttercup10147 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_80) ).
thf(317,plain,
! [A: $i] :
( ( k04_buttercup10147 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(26,axiom,
? [A: $i] : ( k04_buttercup10473 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_556) ).
thf(169,plain,
? [A: $i] : ( k04_buttercup10473 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(12,axiom,
? [A: $i] : ( k04_buttercup10628 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_564) ).
thf(141,plain,
? [A: $i] : ( k04_buttercup10628 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( b48_buttercup10305 @ A )
<=> ( k04_buttercup10303 @ A ) )
| ( ! [A: $i] :
( ( k04_buttercup10303 @ A )
=> ( b48_buttercup10305 @ A ) )
& ? [A: $i] :
( ( b48_buttercup10305 @ A )
& ~ ( k04_buttercup10303 @ A ) ) )
| ( ! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ( k04_buttercup10303 @ A ) )
& ? [A: $i] :
( ( k04_buttercup10303 @ A )
& ~ ( b48_buttercup10305 @ A ) ) )
| ! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ~ ( k04_buttercup10303 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_886) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( b48_buttercup10305 @ A )
<=> ( k04_buttercup10303 @ A ) )
| ( ! [A: $i] :
( ( k04_buttercup10303 @ A )
=> ( b48_buttercup10305 @ A ) )
& ? [A: $i] :
( ( b48_buttercup10305 @ A )
& ~ ( k04_buttercup10303 @ A ) ) )
| ( ! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ( k04_buttercup10303 @ A ) )
& ? [A: $i] :
( ( k04_buttercup10303 @ A )
& ~ ( b48_buttercup10305 @ A ) ) )
| ! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ~ ( k04_buttercup10303 @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(109,plain,
~ ( ! [A: $i] :
( ( ( b48_buttercup10305 @ A )
=> ( k04_buttercup10303 @ A ) )
& ( ( k04_buttercup10303 @ A )
=> ( b48_buttercup10305 @ A ) ) )
| ( ! [A: $i] :
( ( k04_buttercup10303 @ A )
=> ( b48_buttercup10305 @ A ) )
& ? [A: $i] :
( ( b48_buttercup10305 @ A )
& ~ ( k04_buttercup10303 @ A ) ) )
| ( ! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ( k04_buttercup10303 @ A ) )
& ? [A: $i] :
( ( k04_buttercup10303 @ A )
& ~ ( b48_buttercup10305 @ A ) ) )
| ! [A: $i] :
( ( b48_buttercup10305 @ A )
=> ~ ( k04_buttercup10303 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(54,axiom,
! [A: $i] :
( ( k04_buttercup10626 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_125) ).
thf(225,plain,
! [A: $i] :
( ( k04_buttercup10626 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(38,axiom,
? [A: $i] : ( k04_buttercup10312 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_597) ).
thf(193,plain,
? [A: $i] : ( k04_buttercup10312 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(28,axiom,
? [A: $i] : ( k04_buttercup10631 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_543) ).
thf(173,plain,
? [A: $i] : ( k04_buttercup10631 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(6,axiom,
? [A: $i] : ( k04_buttercup10325 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_613) ).
thf(129,plain,
? [A: $i] : ( k04_buttercup10325 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(60,axiom,
! [A: $i] :
( ( k04_buttercup10529 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_112) ).
thf(237,plain,
! [A: $i] :
( ( k04_buttercup10529 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(44,axiom,
? [A: $i] : ( k04_buttercup10389 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_566) ).
thf(205,plain,
? [A: $i] : ( k04_buttercup10389 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(97,axiom,
! [A: $i] :
( ( k04_buttercup10312 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_57) ).
thf(311,plain,
! [A: $i] :
( ( k04_buttercup10312 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(22,axiom,
? [A: $i] : ( k04_buttercup10329 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_611) ).
thf(161,plain,
? [A: $i] : ( k04_buttercup10329 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(81,axiom,
! [A: $i] :
( ( k04_buttercup10510 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_109) ).
thf(279,plain,
! [A: $i] :
( ( k04_buttercup10510 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(16,axiom,
? [A: $i] : ( k04_buttercup10333 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_626) ).
thf(149,plain,
? [A: $i] : ( k04_buttercup10333 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(37,axiom,
? [A: $i] : ( k04_buttercup10424 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_644) ).
thf(191,plain,
? [A: $i] : ( k04_buttercup10424 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(87,axiom,
? [A: $i] : ( b48_buttercup10308 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_884) ).
thf(291,plain,
? [A: $i] : ( b48_buttercup10308 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(82,axiom,
! [A: $i] :
( ( k04_buttercup10325 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
thf(281,plain,
! [A: $i] :
( ( k04_buttercup10325 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(71,axiom,
? [A: $i] : ( b48_buttercup10307 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_747) ).
thf(259,plain,
? [A: $i] : ( b48_buttercup10307 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(98,axiom,
! [A: $i] :
( ( k04_buttercup10492 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_105) ).
thf(313,plain,
! [A: $i] :
( ( k04_buttercup10492 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(32,axiom,
? [A: $i] : ( k04_buttercup10495 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_590) ).
thf(181,plain,
? [A: $i] : ( k04_buttercup10495 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(21,axiom,
? [A: $i] : ( k04_buttercup10611 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_587) ).
thf(159,plain,
? [A: $i] : ( k04_buttercup10611 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(35,axiom,
? [A: $i] : ( k04_buttercup10385 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_572) ).
thf(187,plain,
? [A: $i] : ( k04_buttercup10385 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(51,axiom,
! [A: $i] :
( ( k04_buttercup10084 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_71) ).
thf(219,plain,
! [A: $i] :
( ( k04_buttercup10084 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(64,axiom,
! [A: $i] :
( ( k04_buttercup10628 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_126) ).
thf(245,plain,
! [A: $i] :
( ( k04_buttercup10628 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(93,axiom,
! [A: $i] :
( ( k04_buttercup10643 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_129) ).
thf(303,plain,
! [A: $i] :
( ( k04_buttercup10643 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(77,axiom,
! [A: $i] :
( ( k04_buttercup10535 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_113) ).
thf(271,plain,
! [A: $i] :
( ( k04_buttercup10535 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(48,axiom,
? [A: $i] : ( k04_buttercup10039 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_623) ).
thf(213,plain,
? [A: $i] : ( k04_buttercup10039 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(67,axiom,
! [A: $i] :
( ( k04_buttercup10504 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_108) ).
thf(251,plain,
! [A: $i] :
( ( k04_buttercup10504 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(19,axiom,
? [A: $i] : ( k04_buttercup10125 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_610) ).
thf(155,plain,
? [A: $i] : ( k04_buttercup10125 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(53,axiom,
! [A: $i] :
( ( k04_buttercup10581 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_119) ).
thf(223,plain,
! [A: $i] :
( ( k04_buttercup10581 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(9,axiom,
? [A: $i] : ( k04_buttercup10200 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_535) ).
thf(135,plain,
? [A: $i] : ( k04_buttercup10200 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(91,axiom,
! [A: $i] :
( ( k04_buttercup10329 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_60) ).
thf(299,plain,
! [A: $i] :
( ( k04_buttercup10329 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(75,axiom,
! [A: $i] :
( ( k04_buttercup10380 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_87) ).
thf(267,plain,
! [A: $i] :
( ( k04_buttercup10380 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(62,axiom,
! [A: $i] :
( ( k04_buttercup10470 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_102) ).
thf(241,plain,
! [A: $i] :
( ( k04_buttercup10470 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(25,axiom,
? [A: $i] : ( k04_buttercup10445 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_542) ).
thf(167,plain,
? [A: $i] : ( k04_buttercup10445 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(69,axiom,
! [A: $i] :
( ( k04_buttercup10437 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_99) ).
thf(255,plain,
! [A: $i] :
( ( k04_buttercup10437 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(46,axiom,
? [A: $i] : ( k04_buttercup10089 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_617) ).
thf(209,plain,
? [A: $i] : ( k04_buttercup10089 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(3,axiom,
? [A: $i] : ( k04_buttercup10430 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_632) ).
thf(123,plain,
? [A: $i] : ( k04_buttercup10430 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
? [A: $i] : ( k04_buttercup10397 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_589) ).
thf(145,plain,
? [A: $i] : ( k04_buttercup10397 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(89,axiom,
! [A: $i] :
( ( k04_buttercup10397 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_92) ).
thf(295,plain,
! [A: $i] :
( ( k04_buttercup10397 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(73,axiom,
! [A: $i] :
( ( b48_buttercup10307 @ A )
=> ( b48_buttercup10300 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_133) ).
thf(263,plain,
! [A: $i] :
( ( b48_buttercup10307 @ A )
=> ( b48_buttercup10300 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(41,axiom,
? [A: $i] : ( k04_buttercup10356 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_665) ).
thf(199,plain,
? [A: $i] : ( k04_buttercup10356 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(30,axiom,
? [A: $i] : ( k04_buttercup10079 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_548) ).
thf(177,plain,
? [A: $i] : ( k04_buttercup10079 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(5,axiom,
? [A: $i] : ( k04_buttercup10499 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_595) ).
thf(127,plain,
? [A: $i] : ( k04_buttercup10499 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(107,axiom,
? [A: $i] : ( k04_buttercup10303 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_578) ).
thf(338,plain,
? [A: $i] : ( k04_buttercup10303 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(106,axiom,
! [A: $i] :
( ( k04_buttercup10303 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_56) ).
thf(336,plain,
! [A: $i] :
( ( k04_buttercup10303 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(29,axiom,
? [A: $i] : ( k04_buttercup10578 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_620) ).
thf(175,plain,
? [A: $i] : ( k04_buttercup10578 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(13,axiom,
? [A: $i] : ( k04_buttercup10391 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_583) ).
thf(143,plain,
? [A: $i] : ( k04_buttercup10391 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(57,axiom,
! [A: $i] :
( ( k04_buttercup10473 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_103) ).
thf(231,plain,
! [A: $i] :
( ( k04_buttercup10473 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(43,axiom,
? [A: $i] : ( k04_buttercup10535 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_538) ).
thf(203,plain,
? [A: $i] : ( k04_buttercup10535 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(101,axiom,
? [A: $i] : ( b48_buttercup10305 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_749) ).
thf(319,plain,
? [A: $i] : ( b48_buttercup10305 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(27,axiom,
? [A: $i] : ( k04_buttercup10437 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_635) ).
thf(171,plain,
? [A: $i] : ( k04_buttercup10437 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(11,axiom,
? [A: $i] : ( k04_buttercup10643 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_653) ).
thf(139,plain,
? [A: $i] : ( k04_buttercup10643 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(59,axiom,
! [A: $i] :
( ( k04_buttercup10631 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_127) ).
thf(235,plain,
! [A: $i] :
( ( k04_buttercup10631 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(45,axiom,
? [A: $i] : ( k04_buttercup10382 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_568) ).
thf(207,plain,
? [A: $i] : ( k04_buttercup10382 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(85,axiom,
! [A: $i] :
( ( k04_buttercup10578 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_118) ).
thf(287,plain,
! [A: $i] :
( ( k04_buttercup10578 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(17,axiom,
? [A: $i] : ( k04_buttercup10586 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_563) ).
thf(151,plain,
? [A: $i] : ( k04_buttercup10586 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(99,axiom,
! [A: $i] :
( ( k04_buttercup10039 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_66) ).
thf(315,plain,
! [A: $i] :
( ( k04_buttercup10039 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(33,axiom,
? [A: $i] : ( k04_buttercup10181 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_646) ).
thf(183,plain,
? [A: $i] : ( k04_buttercup10181 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(78,axiom,
! [A: $i] :
( ( k04_buttercup10551 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_115) ).
thf(273,plain,
! [A: $i] :
( ( k04_buttercup10551 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(94,axiom,
! [A: $i] :
( ( k04_buttercup10333 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_61) ).
thf(305,plain,
! [A: $i] :
( ( k04_buttercup10333 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(61,axiom,
! [A: $i] :
( ( k04_buttercup10415 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_95) ).
thf(239,plain,
! [A: $i] :
( ( k04_buttercup10415 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(39,axiom,
? [A: $i] : ( k04_buttercup10529 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_656) ).
thf(195,plain,
? [A: $i] : ( k04_buttercup10529 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(83,axiom,
! [A: $i] :
( ( k04_buttercup10445 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_100) ).
thf(283,plain,
! [A: $i] :
( ( k04_buttercup10445 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(7,axiom,
? [A: $i] : ( k04_buttercup10147 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_606) ).
thf(131,plain,
? [A: $i] : ( k04_buttercup10147 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,axiom,
? [A: $i] : ( k04_buttercup10524 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_660) ).
thf(163,plain,
? [A: $i] : ( k04_buttercup10524 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(80,axiom,
! [A: $i] :
( ( k04_buttercup10244 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
thf(277,plain,
! [A: $i] :
( ( k04_buttercup10244 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(55,axiom,
! [A: $i] :
( ( k04_buttercup10356 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
thf(227,plain,
! [A: $i] :
( ( k04_buttercup10356 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(96,axiom,
! [A: $i] :
( ( k04_buttercup10382 @ A )
=> ( k04_buttercup10012 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_88) ).
thf(309,plain,
! [A: $i] :
( ( k04_buttercup10382 @ A )
=> ( k04_buttercup10012 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(49,axiom,
? [A: $i] : ( b48_buttercup10300 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_857) ).
thf(215,plain,
? [A: $i] : ( b48_buttercup10300 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(344,plain,
$false,
inference(e,[status(thm)],[249,217,247,269,340,153,185,301,257,125,157,189,325,289,261,179,321,211,253,147,221,293,133,243,265,307,233,201,334,297,165,275,137,229,197,329,285,317,169,141,109,225,193,173,129,237,205,311,161,279,149,191,291,281,259,313,181,159,187,219,245,303,271,213,251,155,223,135,299,267,241,167,255,209,123,145,295,263,199,177,127,338,336,175,143,231,203,319,171,139,235,207,287,151,315,183,273,305,239,195,283,131,163,277,227,309,215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% 0.06/0.14 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n029.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu May 18 18:56:44 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.95/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.71/1.11 % [INFO] Parsing done (225ms).
% 1.71/1.12 % [INFO] Running in sequential loop mode.
% 2.25/1.31 % [INFO] eprover registered as external prover.
% 2.25/1.31 % [INFO] cvc4 registered as external prover.
% 2.25/1.32 % [INFO] Scanning for conjecture ...
% 2.53/1.40 % [INFO] Found a conjecture and 885 axioms. Running axiom selection ...
% 2.79/1.47 % [INFO] Axiom selection finished. Selected 106 axioms (removed 779 axioms).
% 2.79/1.51 % [INFO] Problem is first-order (TPTP FOF).
% 2.79/1.52 % [INFO] Type checking passed.
% 3.05/1.52 % [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 ...
% 5.01/2.11 % External prover 'e' found a proof!
% 5.01/2.11 % [INFO] Killing All external provers ...
% 5.01/2.12 % Time passed: 1589ms (effective reasoning time: 997ms)
% 5.01/2.12 % 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)>
% 5.01/2.12 % 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
% 5.01/2.12 % No. of inferences in proof: 216
% 5.01/2.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1589 ms resp. 997 ms w/o parsing
% 5.21/2.17 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.21/2.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------