%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYO578+1 : TPTP v9.0.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n005.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 : Wed Apr 9 10:37:52 PM UTC 2025
% Result : Theorem 7.33s 2.70s
% Output : CNFRefutation 7.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 42 ( 17 ~; 10 |; 11 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-1 aty)
% Number of functors : 58 ( 58 usr; 58 con; 0-0 aty)
% Number of variables : 15 ( 9 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ k04_buttercup10622 > k04_buttercup10620 > k04_buttercup10619 > k04_buttercup10100 > b48_buttercup10111 > b48_buttercup10110 > b48_buttercup10109 > b48_buttercup10108 > b48_buttercup10107 > b48_buttercup10104 > b48_buttercup10102 > b48_buttercup10098 > #nlpp > #skF_33 > #skF_41 > #skF_57 > #skF_52 > #skF_49 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_31 > #skF_15 > #skF_25 > #skF_55 > #skF_38 > #skF_36 > #skF_56 > #skF_54 > #skF_43 > #skF_19 > #skF_40 > #skF_48 > #skF_7 > #skF_37 > #skF_10 > #skF_16 > #skF_47 > #skF_26 > #skF_53 > #skF_14 > #skF_51 > #skF_5 > #skF_45 > #skF_46 > #skF_39 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_9 > #skF_32 > #skF_50 > #skF_8 > #skF_30 > #skF_42 > #skF_4 > #skF_22 > #skF_29 > #skF_28 > #skF_35 > #skF_24 > #skF_27 > #skF_23 > #skF_44 > #skF_58 > #skF_12 > #skF_34
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(b48_buttercup10110,type,
b48_buttercup10110: $i > $o ).
tff('#skF_33',type,
'#skF_33': $i ).
tff('#skF_41',type,
'#skF_41': $i ).
tff('#skF_57',type,
'#skF_57': $i ).
tff('#skF_52',type,
'#skF_52': $i ).
tff(k04_buttercup10622,type,
k04_buttercup10622: $i > $o ).
tff('#skF_49',type,
'#skF_49': $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_31',type,
'#skF_31': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff(b48_buttercup10102,type,
b48_buttercup10102: $i > $o ).
tff('#skF_55',type,
'#skF_55': $i ).
tff(k04_buttercup10100,type,
k04_buttercup10100: $i > $o ).
tff('#skF_38',type,
'#skF_38': $i ).
tff('#skF_36',type,
'#skF_36': $i ).
tff('#skF_56',type,
'#skF_56': $i ).
tff('#skF_54',type,
'#skF_54': $i ).
tff('#skF_43',type,
'#skF_43': $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_40',type,
'#skF_40': $i ).
tff(b48_buttercup10108,type,
b48_buttercup10108: $i > $o ).
tff('#skF_48',type,
'#skF_48': $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_37',type,
'#skF_37': $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_47',type,
'#skF_47': $i ).
tff(k04_buttercup10619,type,
k04_buttercup10619: $i > $o ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(b48_buttercup10107,type,
b48_buttercup10107: $i > $o ).
tff('#skF_53',type,
'#skF_53': $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_51',type,
'#skF_51': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_45',type,
'#skF_45': $i ).
tff('#skF_46',type,
'#skF_46': $i ).
tff('#skF_39',type,
'#skF_39': $i ).
tff(b48_buttercup10104,type,
b48_buttercup10104: $i > $o ).
tff(b48_buttercup10111,type,
b48_buttercup10111: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(b48_buttercup10098,type,
b48_buttercup10098: $i > $o ).
tff(b48_buttercup10109,type,
b48_buttercup10109: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_32',type,
'#skF_32': $i ).
tff('#skF_50',type,
'#skF_50': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_30',type,
'#skF_30': $i ).
tff('#skF_42',type,
'#skF_42': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_35',type,
'#skF_35': $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff('#skF_44',type,
'#skF_44': $i ).
tff(k04_buttercup10620,type,
k04_buttercup10620: $i > $o ).
tff('#skF_58',type,
'#skF_58': $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_34',type,
'#skF_34': $i ).
tff(f_340,axiom,
( ! [X61] :
( k04_buttercup10100(X61)
=> b48_buttercup10098(X61) )
& ? [X62] :
( b48_buttercup10098(X62)
& ~ k04_buttercup10100(X62) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
tff(f_757,negated_conjecture,
~ ( ( ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) )
& ? [X143] :
( k04_buttercup10100(X143)
& ~ b48_buttercup10098(X143) ) )
| ( ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) )
& ? [X145] :
( b48_buttercup10098(X145)
& ~ k04_buttercup10100(X145) ) )
| ? [X146,X147,X148] :
( k04_buttercup10100(X146)
& b48_buttercup10098(X146)
& k04_buttercup10100(X147)
& ~ b48_buttercup10098(X147)
& ~ k04_buttercup10100(X148)
& b48_buttercup10098(X148) )
| ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_86) ).
tff(c_598,plain,
b48_buttercup10098('#skF_32'),
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_954,plain,
! [X145_89] :
( ~ b48_buttercup10098('#skF_57')
| k04_buttercup10100(X145_89)
| ~ b48_buttercup10098(X145_89) ),
inference(cnfTransformation,[status(thm)],[f_757]) ).
tff(c_962,plain,
~ b48_buttercup10098('#skF_57'),
inference(splitLeft,[status(thm)],[c_954]) ).
tff(c_956,plain,
! [X145_89] :
( k04_buttercup10100('#skF_57')
| k04_buttercup10100(X145_89)
| ~ b48_buttercup10098(X145_89) ),
inference(cnfTransformation,[status(thm)],[f_757]) ).
tff(c_961,plain,
k04_buttercup10100('#skF_57'),
inference(splitLeft,[status(thm)],[c_956]) ).
tff(c_1091,plain,
! [X61_105] :
( b48_buttercup10098(X61_105)
| ~ k04_buttercup10100(X61_105) ),
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_1097,plain,
b48_buttercup10098('#skF_57'),
inference(resolution,[status(thm)],[c_961,c_1091]) ).
tff(c_1114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_962,c_1097]) ).
tff(c_1117,plain,
! [X145_106] :
( k04_buttercup10100(X145_106)
| ~ b48_buttercup10098(X145_106) ),
inference(splitRight,[status(thm)],[c_954]) ).
tff(c_596,plain,
~ k04_buttercup10100('#skF_32'),
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_1120,plain,
~ b48_buttercup10098('#skF_32'),
inference(resolution,[status(thm)],[c_1117,c_596]) ).
tff(c_1124,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_598,c_1120]) ).
tff(c_1128,plain,
! [X145_107] :
( k04_buttercup10100(X145_107)
| ~ b48_buttercup10098(X145_107) ),
inference(splitRight,[status(thm)],[c_956]) ).
tff(c_1134,plain,
~ b48_buttercup10098('#skF_32'),
inference(resolution,[status(thm)],[c_1128,c_596]) ).
tff(c_1139,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_598,c_1134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO578+1 : TPTP v9.0.0. Released v5.5.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Apr 9 09:22:27 EDT 2025
% 0.14/0.34 % CPUTime :
% 7.33/2.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.33/2.70
% 7.33/2.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------