%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:44:58 AM UTC 2026
% Result : Theorem 6.16s 7.64s
% Output : Refutation 6.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 86
% Syntax : Number of formulae : 174 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 609 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1238 ( 195 ~; 65 |; 186 &; 608 @)
% ( 1 <=>; 183 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 308 ( 0 ^; 183 !; 125 ?; 308 :)
% Comments :
%------------------------------------------------------------------------------
thf(b48_buttercup10098_decl,type,
b48_buttercup10098: $i > $o ).
thf(k04_buttercup10100_decl,type,
k04_buttercup10100: $i > $o ).
thf(k04_buttercup10622_decl,type,
k04_buttercup10622: $i > $o ).
thf(k04_buttercup10620_decl,type,
k04_buttercup10620: $i > $o ).
thf(b48_buttercup10104_decl,type,
b48_buttercup10104: $i > $o ).
thf(b48_buttercup10110_decl,type,
b48_buttercup10110: $i > $o ).
thf(b48_buttercup10109_decl,type,
b48_buttercup10109: $i > $o ).
thf(b48_buttercup10111_decl,type,
b48_buttercup10111: $i > $o ).
thf(b48_buttercup10107_decl,type,
b48_buttercup10107: $i > $o ).
thf(b48_buttercup10102_decl,type,
b48_buttercup10102: $i > $o ).
thf(b48_buttercup10108_decl,type,
b48_buttercup10108: $i > $o ).
thf(k04_buttercup10619_decl,type,
k04_buttercup10619: $i > $o ).
thf(65,axiom,
( ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ~ ( A @ b48_buttercup10109 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10619 )
& ( A @ b48_buttercup10109 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ( A @ b48_buttercup10109 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10109 )
& ( A @ k04_buttercup10619 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ( A @ k04_buttercup10619 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10109 )
& ~ ( C @ k04_buttercup10619 )
& ~ ( B @ b48_buttercup10109 )
& ( B @ k04_buttercup10619 )
& ( A @ b48_buttercup10109 )
& ( A @ k04_buttercup10619 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
thf(257,plain,
( ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ~ ( A @ b48_buttercup10109 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10619 )
& ( A @ b48_buttercup10109 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ( A @ b48_buttercup10109 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10109 )
& ( A @ k04_buttercup10619 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ( A @ k04_buttercup10619 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10109 )
& ~ ( C @ k04_buttercup10619 )
& ~ ( B @ b48_buttercup10109 )
& ( B @ k04_buttercup10619 )
& ( A @ b48_buttercup10109 )
& ( A @ k04_buttercup10619 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ( ( A @ k04_buttercup10622 )
| ( A @ k04_buttercup10620 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_84) ).
thf(184,plain,
! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ( ( A @ k04_buttercup10622 )
| ( A @ k04_buttercup10620 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10109 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_57) ).
thf(144,plain,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10109 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(64,axiom,
? [A: $i] : ( A @ b48_buttercup10109 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
thf(255,plain,
? [A: $i] : ( A @ b48_buttercup10109 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(87,axiom,
! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ~ ( A @ k04_buttercup10100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_41) ).
thf(409,plain,
! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ~ ( A @ k04_buttercup10100 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(52,axiom,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10102 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
thf(231,plain,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10102 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10104 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
thf(138,plain,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10104 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ k04_buttercup10622 )
=> ~ ( A @ k04_buttercup10620 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_40) ).
thf(101,plain,
! [A: $i] :
( ( A @ k04_buttercup10622 )
=> ~ ( A @ k04_buttercup10620 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10109 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_76) ).
thf(249,plain,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10109 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10098 ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10098 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10098 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10098 )
& ( A @ k04_buttercup10100 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10098 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10098 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10098 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10098 )
=> ( A @ k04_buttercup10100 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_86) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10098 ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10098 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10098 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10098 )
& ( A @ k04_buttercup10100 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10098 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10098 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10098 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10098 )
=> ( A @ k04_buttercup10100 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(88,plain,
~ ( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10098 ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10098 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10098 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10098 )
& ( A @ k04_buttercup10100 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10098 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10098 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10098 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10098 )
=> ( A @ k04_buttercup10100 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10107 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_68) ).
thf(115,plain,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10107 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(45,axiom,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10108 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_81) ).
thf(217,plain,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10108 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(60,axiom,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10104 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_73) ).
thf(247,plain,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10104 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(83,axiom,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10104 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10104 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10104 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10104 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10104 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10104 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10104 )
& ( A @ k04_buttercup10100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
thf(385,plain,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10104 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10104 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10104 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10104 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10104 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10104 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10104 )
& ( A @ k04_buttercup10100 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10109 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_63) ).
thf(142,plain,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10109 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(69,axiom,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10102 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10102 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10102 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10102 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10102 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10102 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10102 )
& ( A @ k04_buttercup10100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
thf(284,plain,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10102 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10102 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10102 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10102 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10102 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10102 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10102 )
& ( A @ k04_buttercup10100 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(74,axiom,
? [A: $i] : ( A @ k04_buttercup10100 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
thf(316,plain,
? [A: $i] : ( A @ k04_buttercup10100 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(13,axiom,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10108 )
& ( A @ k04_buttercup10622 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ( A @ k04_buttercup10622 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
thf(121,plain,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10108 )
& ( A @ k04_buttercup10622 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ( A @ k04_buttercup10622 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(42,axiom,
! [A: $i] :
( ( A @ k04_buttercup10620 )
=> ( A @ k04_buttercup10619 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
thf(211,plain,
! [A: $i] :
( ( A @ k04_buttercup10620 )
=> ( A @ k04_buttercup10619 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(63,axiom,
? [A: $i] : ( A @ b48_buttercup10111 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_31) ).
thf(253,plain,
? [A: $i] : ( A @ b48_buttercup10111 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(47,axiom,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10111 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
thf(221,plain,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10111 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10102 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_60) ).
thf(132,plain,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10102 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(58,axiom,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10108 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_69) ).
thf(243,plain,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10108 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(41,axiom,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10104 )
& ( A @ k04_buttercup10622 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ( A @ k04_buttercup10622 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
thf(206,plain,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10104 )
& ( A @ k04_buttercup10622 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ( A @ k04_buttercup10622 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(71,axiom,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ( A @ b48_buttercup10098 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
thf(307,plain,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ( A @ b48_buttercup10098 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(53,axiom,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10110 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_70) ).
thf(233,plain,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10110 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10102 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_72) ).
thf(117,plain,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10102 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(40,axiom,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10110 )
& ( A @ k04_buttercup10622 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ( A @ k04_buttercup10622 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
thf(201,plain,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10110 )
& ( A @ k04_buttercup10622 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ( A @ k04_buttercup10622 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(70,axiom,
( ? [A: $i] :
( ~ ( A @ k04_buttercup10619 )
& ( A @ b48_buttercup10098 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ( A @ b48_buttercup10098 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
thf(302,plain,
( ? [A: $i] :
( ~ ( A @ k04_buttercup10619 )
& ( A @ b48_buttercup10098 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ( A @ b48_buttercup10098 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(29,axiom,
( ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ~ ( A @ b48_buttercup10111 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10619 )
& ( A @ b48_buttercup10111 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ( A @ b48_buttercup10111 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10111 )
& ( A @ k04_buttercup10619 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ( A @ k04_buttercup10619 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10111 )
& ~ ( C @ k04_buttercup10619 )
& ~ ( B @ b48_buttercup10111 )
& ( B @ k04_buttercup10619 )
& ( A @ b48_buttercup10111 )
& ( A @ k04_buttercup10619 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
thf(160,plain,
( ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ~ ( A @ b48_buttercup10111 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10619 )
& ( A @ b48_buttercup10111 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10619 )
=> ( A @ b48_buttercup10111 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10111 )
& ( A @ k04_buttercup10619 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ( A @ k04_buttercup10619 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10111 )
& ~ ( C @ k04_buttercup10619 )
& ~ ( B @ b48_buttercup10111 )
& ( B @ k04_buttercup10619 )
& ( A @ b48_buttercup10111 )
& ( A @ k04_buttercup10619 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(66,axiom,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10110 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_83) ).
thf(275,plain,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10110 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(37,axiom,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10102 )
& ( A @ k04_buttercup10622 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ( A @ k04_buttercup10622 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
thf(192,plain,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10102 )
& ( A @ k04_buttercup10622 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ( A @ k04_buttercup10622 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(86,axiom,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ( A @ b48_buttercup10098 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
thf(407,plain,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ( A @ b48_buttercup10098 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(51,axiom,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10104 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_67) ).
thf(229,plain,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10104 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(38,axiom,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10111 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_77) ).
thf(197,plain,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10111 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10110 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_58) ).
thf(156,plain,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10110 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(84,axiom,
! [A: $i] :
( ( A @ b48_buttercup10098 )
=> ( ( A @ b48_buttercup10111 )
| ( A @ b48_buttercup10110 )
| ( A @ b48_buttercup10109 )
| ( A @ b48_buttercup10108 )
| ( A @ b48_buttercup10107 )
| ( A @ b48_buttercup10104 )
| ( A @ b48_buttercup10102 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_85) ).
thf(403,plain,
! [A: $i] :
( ( A @ b48_buttercup10098 )
=> ( ( A @ b48_buttercup10111 )
| ( A @ b48_buttercup10110 )
| ( A @ b48_buttercup10109 )
| ( A @ b48_buttercup10108 )
| ( A @ b48_buttercup10107 )
| ( A @ b48_buttercup10104 )
| ( A @ b48_buttercup10102 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10108 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_56) ).
thf(188,plain,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10108 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ( A @ b48_buttercup10098 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
thf(356,plain,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ( A @ b48_buttercup10098 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10110 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
thf(109,plain,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10110 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(49,axiom,
? [A: $i] : ( A @ k04_buttercup10619 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
thf(225,plain,
? [A: $i] : ( A @ k04_buttercup10619 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10108 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_75) ).
thf(134,plain,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10108 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(5,axiom,
? [A: $i] : ( A @ k04_buttercup10622 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
thf(105,plain,
? [A: $i] : ( A @ k04_buttercup10622 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(80,axiom,
? [A: $i] : ( A @ b48_buttercup10098 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_30) ).
thf(360,plain,
? [A: $i] : ( A @ b48_buttercup10098 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10102 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_66) ).
thf(128,plain,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10102 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ k04_buttercup10622 )
=> ( A @ k04_buttercup10619 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
thf(237,plain,
! [A: $i] :
( ( A @ k04_buttercup10622 )
=> ( A @ k04_buttercup10619 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ k04_buttercup10620 )
<=> ( A @ b48_buttercup10107 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
thf(148,plain,
! [A: $i] :
( ( ( A @ b48_buttercup10107 )
=> ( A @ k04_buttercup10620 ) )
& ( ( A @ k04_buttercup10620 )
=> ( A @ b48_buttercup10107 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(68,axiom,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10109 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ( A @ k04_buttercup10100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
thf(279,plain,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10109 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ( A @ k04_buttercup10100 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(31,axiom,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10104 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).
thf(180,plain,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10104 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10111 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_71) ).
thf(113,plain,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ~ ( A @ b48_buttercup10111 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(46,axiom,
? [A: $i] : ( A @ b48_buttercup10107 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
thf(219,plain,
? [A: $i] : ( A @ b48_buttercup10107 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(81,axiom,
( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10098 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10098 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
thf(362,plain,
( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10098 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10098 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(59,axiom,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10107 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
thf(245,plain,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10107 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(75,axiom,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10110 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10110 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10110 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10110 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10110 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10110 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10110 )
& ( A @ k04_buttercup10100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
thf(318,plain,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10110 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10110 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10110 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10110 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10110 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10110 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10110 )
& ( A @ k04_buttercup10100 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(82,axiom,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10107 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10107 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10107 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10107 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10107 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10107 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10107 )
& ( A @ k04_buttercup10100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
thf(367,plain,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10107 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10107 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10107 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10107 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10107 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10107 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10107 )
& ( A @ k04_buttercup10100 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(4,axiom,
? [A: $i] : ( A @ k04_buttercup10620 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
thf(103,plain,
? [A: $i] : ( A @ k04_buttercup10620 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10109 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_82) ).
thf(140,plain,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10109 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(43,axiom,
? [A: $i] : ( A @ b48_buttercup10108 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
thf(213,plain,
? [A: $i] : ( A @ b48_buttercup10108 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(62,axiom,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10111 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).
thf(251,plain,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10111 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10111 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_53) ).
thf(130,plain,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10111 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10109 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
thf(223,plain,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10109 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10108 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_50) ).
thf(241,plain,
! [A: $i] :
( ( A @ b48_buttercup10104 )
=> ~ ( A @ b48_buttercup10108 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(39,axiom,
? [A: $i] : ( A @ b48_buttercup10110 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
thf(199,plain,
? [A: $i] : ( A @ b48_buttercup10110 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10107 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_80) ).
thf(182,plain,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10107 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(77,axiom,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10108 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10108 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10108 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10108 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10108 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10108 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10108 )
& ( A @ k04_buttercup10100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
thf(338,plain,
( ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ b48_buttercup10108 ) )
| ( ? [A: $i] :
( ~ ( A @ k04_buttercup10100 )
& ( A @ b48_buttercup10108 ) )
& ! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ( A @ b48_buttercup10108 ) ) )
| ( ? [A: $i] :
( ~ ( A @ b48_buttercup10108 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ( A @ k04_buttercup10100 ) ) )
| ? [A: $i,B: $i,C: $i] :
( ( C @ b48_buttercup10108 )
& ~ ( C @ k04_buttercup10100 )
& ~ ( B @ b48_buttercup10108 )
& ( B @ k04_buttercup10100 )
& ( A @ b48_buttercup10108 )
& ( A @ k04_buttercup10100 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(76,axiom,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ( A @ b48_buttercup10098 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
thf(336,plain,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ( A @ b48_buttercup10098 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10107 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_62) ).
thf(154,plain,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10107 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(73,axiom,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ( A @ b48_buttercup10098 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
thf(314,plain,
! [A: $i] :
( ( A @ b48_buttercup10109 )
=> ( A @ b48_buttercup10098 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10107 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).
thf(158,plain,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10107 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10110 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_64) ).
thf(186,plain,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10110 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10102 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_78) ).
thf(119,plain,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10102 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(54,axiom,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10102 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_54) ).
thf(235,plain,
! [A: $i] :
( ( A @ b48_buttercup10107 )
=> ~ ( A @ b48_buttercup10102 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10110 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
thf(146,plain,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10110 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(85,axiom,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ( A @ b48_buttercup10098 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
thf(405,plain,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ( A @ b48_buttercup10098 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10111 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_65) ).
thf(190,plain,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10111 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ k04_buttercup10620 )
=> ~ ( A @ k04_buttercup10622 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).
thf(107,plain,
! [A: $i] :
( ( A @ k04_buttercup10620 )
=> ~ ( A @ k04_buttercup10622 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10109 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
thf(239,plain,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10109 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(79,axiom,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ( A @ b48_buttercup10098 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
thf(358,plain,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ( A @ b48_buttercup10098 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10104 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_79) ).
thf(126,plain,
! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ~ ( A @ b48_buttercup10104 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(19,axiom,
? [A: $i] : ( A @ b48_buttercup10102 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
thf(136,plain,
? [A: $i] : ( A @ b48_buttercup10102 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(30,axiom,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10107 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_74) ).
thf(178,plain,
! [A: $i] :
( ( A @ b48_buttercup10110 )
=> ~ ( A @ b48_buttercup10107 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(67,axiom,
! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ k04_buttercup10619 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
thf(277,plain,
! [A: $i] :
( ( A @ k04_buttercup10100 )
=> ~ ( A @ k04_buttercup10619 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(8,axiom,
? [A: $i] : ( A @ b48_buttercup10104 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
thf(111,plain,
? [A: $i] : ( A @ b48_buttercup10104 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(50,axiom,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10108 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_44) ).
thf(227,plain,
! [A: $i] :
( ( A @ b48_buttercup10102 )
=> ~ ( A @ b48_buttercup10108 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(72,axiom,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10111 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ( A @ k04_buttercup10100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
thf(309,plain,
( ? [A: $i] :
( ~ ( A @ b48_buttercup10111 )
& ( A @ k04_buttercup10100 ) )
& ! [A: $i] :
( ( A @ b48_buttercup10111 )
=> ( A @ k04_buttercup10100 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(44,axiom,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10104 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_61) ).
thf(215,plain,
! [A: $i] :
( ( A @ b48_buttercup10108 )
=> ~ ( A @ b48_buttercup10104 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(419,plain,
$false,
inference(e,[status(thm)],[257,184,144,255,409,231,138,101,249,88,115,217,247,385,142,284,316,121,211,253,221,132,243,206,307,233,117,201,302,160,275,192,407,229,197,156,403,188,356,109,225,134,105,360,128,237,148,279,180,113,219,362,245,318,367,103,140,213,251,130,223,241,199,182,338,336,154,314,158,186,119,235,146,405,190,107,239,358,126,136,178,277,111,227,309,215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/5.42 % Computer : n014.cluster.edu
% 0.12/5.42 % Model : x86_64 x86_64
% 0.12/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.42 % Memory : 8046.5625MB
% 0.12/5.42 % OS : Linux 6.8.0-71-generic
% 0.12/5.42 % CPULimit : 300
% 0.12/5.42 % WCLimit : 300
% 0.12/5.42 % DateTime : Sat Sep 26 19:30:08 UTC 2026
% 0.12/5.42 % CPUTime :
% 0.12/5.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.16/5.73 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.16/5.87 % [INFO] Parsing done (134ms).
% 0.16/5.87 % [INFO] Running in sequential loop mode.
% 1.73/6.07 % [INFO] eprover registered as external prover.
% 1.73/6.08 % [INFO] Scanning for conjecture ...
% 2.04/6.17 % [INFO] Found a conjecture (or negated_conjecture) and 85 axioms. Running axiom selection ...
% 2.18/6.27 % [INFO] Axiom selection finished. Selected 85 axioms (removed 0 axioms).
% 2.43/6.37 % [INFO] Problem is first-order (TPTP FOF).
% 2.43/6.38 % [INFO] Type checking passed.
% 2.43/6.39 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 6.16/7.63 % External prover 'e' found a proof!
% 6.16/7.63 % [INFO] Killing All external provers ...
% 6.16/7.63 % Time passed: 2106ms (effective reasoning time: 1756ms)
% 6.16/7.63 % 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)>
% 6.16/7.64 % Axioms used in derivation (85): sos_75, sos_74, sos_38, sos_28, sos_01, sos_30, sos_42, sos_80, sos_34, sos_20, sos_37, sos_63, sos_48, sos_78, sos_85, sos_56, sos_16, sos_45, sos_05, sos_67, sos_27, sos_52, sos_41, sos_59, sos_81, sos_40, sos_70, sos_02, sos_82, sos_62, sos_51, sos_49, sos_17, sos_23, sos_55, sos_12, sos_06, sos_11, sos_25, sos_61, sos_66, sos_50, sos_77, sos_83, sos_44, sos_22, sos_09, sos_35, sos_03, sos_73, sos_24, sos_57, sos_33, sos_54, sos_79, sos_07, sos_39, sos_29, sos_68, sos_18, sos_65, sos_13, sos_46, sos_71, sos_31, sos_26, sos_15, sos_84, sos_04, sos_60, sos_10, sos_43, sos_21, sos_36, sos_76, sos_19, sos_64, sos_08, sos_47, sos_14, sos_69, sos_72, sos_32, sos_58, sos_53
% 6.16/7.64 % No. of inferences in proof: 174
% 6.16/7.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2106 ms resp. 1756 ms w/o parsing
% 6.53/7.76 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.53/7.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------