%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN377+1 : TPTP v9.0.0. Released v2.0.0.
% 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 : n011.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 10:03:23 PM UTC 2025
% Result : Theorem 2.55s 1.61s
% Output : CNFRefutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 50 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 29 ~; 28 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 49 ( 48 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_p > #nlpp > #skF_1 > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_8 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(big_p,type,
big_p: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_37,negated_conjecture,
~ ( ! [X] :
( big_p(X)
<=> ! [Y] : big_p(Y) )
<=> ( ? [X] : big_p(X)
<=> ! [Y] : big_p(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2128) ).
tff(c_62,plain,
! [Y_4,X_1,Y_8,X_7] :
( big_p(Y_4)
| ~ big_p(X_1)
| big_p(Y_8)
| ~ big_p(X_7) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_101,plain,
! [X_7] : ~ big_p(X_7),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_81,plain,
! [X_7] : ~ big_p(X_7),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_72,plain,
! [Y_5,Y_8,X_7] :
( big_p('#skF_2')
| big_p(Y_5)
| big_p(Y_8)
| ~ big_p(X_7) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_73,plain,
! [X_7] : ~ big_p(X_7),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_48,plain,
! [Y_5,Y_10] :
( big_p('#skF_2')
| big_p(Y_5)
| big_p(Y_10)
| big_p('#skF_7') ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_77,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73,c_73,c_73,c_73,c_48]) ).
tff(c_78,plain,
! [Y_5,Y_8] :
( big_p('#skF_2')
| big_p(Y_5)
| big_p(Y_8) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_79,plain,
big_p('#skF_2'),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_83,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81,c_79]) ).
tff(c_84,plain,
! [X_1,Y_4,Y_8] :
( ~ big_p(X_1)
| big_p(Y_4)
| big_p(Y_8) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_85,plain,
! [X_1] : ~ big_p(X_1),
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_87,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85,c_79]) ).
tff(c_88,plain,
! [Y_8,Y_4] :
( big_p(Y_8)
| big_p(Y_4) ),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_89,plain,
! [Y_4] : big_p(Y_4),
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_2,plain,
! [Y_4,X_1] :
( big_p(Y_4)
| ~ big_p(X_1)
| ~ big_p('#skF_6')
| ~ big_p('#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_80,plain,
~ big_p('#skF_8'),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_93,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89,c_80]) ).
tff(c_94,plain,
! [Y_8] : big_p(Y_8),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_98,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94,c_80]) ).
tff(c_100,plain,
big_p('#skF_8'),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101,c_100]) ).
tff(c_105,plain,
! [X_1,Y_4,Y_8] :
( ~ big_p(X_1)
| big_p(Y_4)
| big_p(Y_8) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_107,plain,
! [X_1] : ~ big_p(X_1),
inference(splitLeft,[status(thm)],[c_105]) ).
tff(c_110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107,c_100]) ).
tff(c_111,plain,
! [Y_8,Y_4] :
( big_p(Y_8)
| big_p(Y_4) ),
inference(splitRight,[status(thm)],[c_105]) ).
tff(c_112,plain,
! [Y_4] : big_p(Y_4),
inference(splitLeft,[status(thm)],[c_111]) ).
tff(c_99,plain,
! [X_1,Y_4] :
( ~ big_p('#skF_6')
| ~ big_p(X_1)
| big_p(Y_4) ),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_106,plain,
~ big_p('#skF_6'),
inference(splitLeft,[status(thm)],[c_99]) ).
tff(c_117,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_112,c_106]) ).
tff(c_118,plain,
! [Y_8] : big_p(Y_8),
inference(splitRight,[status(thm)],[c_111]) ).
tff(c_123,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_106]) ).
tff(c_124,plain,
! [X_1,Y_4] :
( ~ big_p(X_1)
| big_p(Y_4) ),
inference(splitRight,[status(thm)],[c_99]) ).
tff(c_129,plain,
! [X_1] : ~ big_p(X_1),
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_125,plain,
big_p('#skF_6'),
inference(splitRight,[status(thm)],[c_99]) ).
tff(c_133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129,c_125]) ).
tff(c_134,plain,
! [Y_4] : big_p(Y_4),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_6,plain,
! [X_6] :
( ~ big_p('#skF_3')
| ~ big_p(X_6)
| ~ big_p('#skF_6')
| ~ big_p('#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_127,plain,
! [X_6] :
( ~ big_p('#skF_3')
| ~ big_p(X_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_125,c_6]) ).
tff(c_128,plain,
~ big_p('#skF_3'),
inference(splitLeft,[status(thm)],[c_127]) ).
tff(c_140,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134,c_128]) ).
tff(c_141,plain,
! [X_6] : ~ big_p(X_6),
inference(splitRight,[status(thm)],[c_127]) ).
tff(c_146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_141,c_125]) ).
tff(c_147,plain,
! [Y_8,Y_5] :
( big_p(Y_8)
| big_p(Y_5) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_149,plain,
! [Y_5] : big_p(Y_5),
inference(splitLeft,[status(thm)],[c_147]) ).
tff(c_148,plain,
~ big_p('#skF_2'),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_152,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_149,c_148]) ).
tff(c_153,plain,
! [Y_8] : big_p(Y_8),
inference(splitRight,[status(thm)],[c_147]) ).
tff(c_156,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153,c_148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN377+1 : TPTP v9.0.0. Released v2.0.0.
% 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
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 07:21:33 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.55/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/1.62
% 2.55/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------