%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUN087+1 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 08:21:02 PM UTC 2025
% Result : Theorem 25.41s 14.59s
% Output : CNFRefutation 25.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 142 ( 68 ~; 60 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 1 con; 0-2 aty)
% Number of variables : 106 ( 97 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r4 > r3 > r2 > id > r1 > #nlpp > #skF_11 > #skF_16 > #skF_6 > #skF_2 > #skF_18 > #skF_19 > #skF_3 > #skF_15 > #skF_12 > #skF_10 > #skF_1 > #skF_8 > #skF_13 > #skF_17 > #skF_14 > #skF_7 > #skF_9 > #skF_5 > #skF_4 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(r2,type,
r2: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(r3,type,
r3: ( $i * $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff(id,type,
id: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(r4,type,
r4: ( $i * $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(r1,type,
r1: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(f_231,axiom,
! [X4] :
? [Y9] :
( id(Y9,X4)
& ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
tff(f_101,axiom,
! [X20] : id(X20,X20),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
tff(f_63,axiom,
? [Y24] :
! [X19] :
( ( id(X19,Y24)
& r1(X19) )
| ( ~ r1(X19)
& ~ id(X19,Y24) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
tff(f_242,axiom,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( id(Y8,Y18)
& r1(Y18) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
tff(f_127,axiom,
! [X26,X27] :
( ~ id(X26,X27)
| ( ~ r1(X26)
& ~ r1(X27) )
| ( r1(X26)
& r1(X27) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
tff(f_106,axiom,
! [X21,X22] :
( ~ id(X21,X22)
| id(X22,X21) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
tff(f_114,axiom,
! [X23,X24,X25] :
( ~ id(X23,X24)
| id(X23,X25)
| ~ id(X24,X25) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
tff(f_181,axiom,
! [X38,X39,X40,X41,X42,X43] :
( ~ id(X38,X41)
| ~ id(X39,X42)
| ~ id(X40,X43)
| ( ~ r4(X38,X39,X40)
& ~ r4(X41,X42,X43) )
| ( r4(X38,X39,X40)
& r4(X41,X42,X43) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_11) ).
tff(f_275,negated_conjecture,
~ ? [Y1] :
( ? [Y2] :
( r1(Y2)
& r4(Y2,Y2,Y1) )
& ? [Y3] :
( id(Y1,Y3)
& r1(Y3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerotimeszeroeqzero) ).
tff(c_98,plain,
! [X4_87] : id('#skF_13'(X4_87),X4_87),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_34,plain,
! [X20_23] : id(X20_23,X20_23),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_124,plain,
! [X19_118] :
( r1(X19_118)
| ~ id(X19_118,'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_134,plain,
r1('#skF_1'),
inference(resolution,[status(thm)],[c_34,c_124]) ).
tff(c_100,plain,
! [X5_92] : r1('#skF_17'(X5_92)),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_102,plain,
! [X5_92] : id('#skF_15'(X5_92),'#skF_17'(X5_92)),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_222,plain,
! [X27_144,X26_145] :
( ~ r1(X27_144)
| r1(X26_145)
| ~ id(X26_145,X27_144) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_240,plain,
! [X5_92] :
( ~ r1('#skF_17'(X5_92))
| r1('#skF_15'(X5_92)) ),
inference(resolution,[status(thm)],[c_102,c_222]) ).
tff(c_258,plain,
! [X5_92] : r1('#skF_15'(X5_92)),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_240]) ).
tff(c_8,plain,
! [X19_2] :
( id(X19_2,'#skF_1')
| ~ r1(X19_2) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_161,plain,
! [X22_129,X21_130] :
( id(X22_129,X21_130)
| ~ id(X21_130,X22_129) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_170,plain,
! [X19_2] :
( id('#skF_1',X19_2)
| ~ r1(X19_2) ),
inference(resolution,[status(thm)],[c_8,c_161]) ).
tff(c_804,plain,
! [X24_231,X25_232,X23_233] :
( ~ id(X24_231,X25_232)
| id(X23_233,X25_232)
| ~ id(X23_233,X24_231) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_2590,plain,
! [X23_374,X5_375] :
( id(X23_374,'#skF_17'(X5_375))
| ~ id(X23_374,'#skF_15'(X5_375)) ),
inference(resolution,[status(thm)],[c_102,c_804]) ).
tff(c_2626,plain,
! [X5_375] :
( id('#skF_1','#skF_17'(X5_375))
| ~ r1('#skF_15'(X5_375)) ),
inference(resolution,[status(thm)],[c_170,c_2590]) ).
tff(c_2673,plain,
! [X5_382] : id('#skF_1','#skF_17'(X5_382)),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_2626]) ).
tff(c_36,plain,
! [X22_25,X21_24] :
( id(X22_25,X21_24)
| ~ id(X21_24,X22_25) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_2698,plain,
! [X5_382] : id('#skF_17'(X5_382),'#skF_1'),
inference(resolution,[status(thm)],[c_2673,c_36]) ).
tff(c_106,plain,
! [X5_92] : r1('#skF_16'(X5_92)),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_104,plain,
! [X5_92] : r4(X5_92,'#skF_16'(X5_92),'#skF_15'(X5_92)),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_3193,plain,
! [X43_414,X38_419,X40_415,X41_418,X42_416,X39_417] :
( ~ r4(X38_419,X39_417,X40_415)
| r4(X41_418,X42_416,X43_414)
| ~ id(X40_415,X43_414)
| ~ id(X39_417,X42_416)
| ~ id(X38_419,X41_418) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_18237,plain,
! [X41_865,X42_866,X43_867,X5_868] :
( r4(X41_865,X42_866,X43_867)
| ~ id('#skF_15'(X5_868),X43_867)
| ~ id('#skF_16'(X5_868),X42_866)
| ~ id(X5_868,X41_865) ),
inference(resolution,[status(thm)],[c_104,c_3193]) ).
tff(c_18349,plain,
! [X41_865,X42_866,X5_868] :
( r4(X41_865,X42_866,'#skF_1')
| ~ id('#skF_16'(X5_868),X42_866)
| ~ id(X5_868,X41_865)
| ~ r1('#skF_15'(X5_868)) ),
inference(resolution,[status(thm)],[c_8,c_18237]) ).
tff(c_94220,plain,
! [X41_1924,X42_1925,X5_1926] :
( r4(X41_1924,X42_1925,'#skF_1')
| ~ id('#skF_16'(X5_1926),X42_1925)
| ~ id(X5_1926,X41_1924) ),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_18349]) ).
tff(c_94382,plain,
! [X41_1924,X5_1926] :
( r4(X41_1924,'#skF_1','#skF_1')
| ~ id(X5_1926,X41_1924)
| ~ r1('#skF_16'(X5_1926)) ),
inference(resolution,[status(thm)],[c_8,c_94220]) ).
tff(c_94474,plain,
! [X41_1927,X5_1928] :
( r4(X41_1927,'#skF_1','#skF_1')
| ~ id(X5_1928,X41_1927) ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_94382]) ).
tff(c_95249,plain,
r4('#skF_1','#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2698,c_94474]) ).
tff(c_38,plain,
! [X24_27,X25_28,X23_26] :
( ~ id(X24_27,X25_28)
| id(X23_26,X25_28)
| ~ id(X23_26,X24_27) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_2913,plain,
! [X23_400,X5_401] :
( id(X23_400,'#skF_17'(X5_401))
| ~ id(X23_400,'#skF_1') ),
inference(resolution,[status(thm)],[c_2673,c_38]) ).
tff(c_2944,plain,
! [X5_401,X23_400] :
( id('#skF_17'(X5_401),X23_400)
| ~ id(X23_400,'#skF_1') ),
inference(resolution,[status(thm)],[c_2913,c_36]) ).
tff(c_172,plain,
! [X4_87] : id(X4_87,'#skF_13'(X4_87)),
inference(resolution,[status(thm)],[c_98,c_161]) ).
tff(c_1328,plain,
! [X23_270,X4_271] :
( id(X23_270,'#skF_13'(X4_271))
| ~ id(X23_270,X4_271) ),
inference(resolution,[status(thm)],[c_172,c_804]) ).
tff(c_1353,plain,
! [X4_271,X23_270] :
( id('#skF_13'(X4_271),X23_270)
| ~ id(X23_270,X4_271) ),
inference(resolution,[status(thm)],[c_1328,c_36]) ).
tff(c_171,plain,
! [X5_92] : id('#skF_17'(X5_92),'#skF_15'(X5_92)),
inference(resolution,[status(thm)],[c_102,c_161]) ).
tff(c_8162,plain,
! [X23_582,X5_583] :
( id(X23_582,'#skF_15'(X5_583))
| ~ id(X23_582,'#skF_17'(X5_583)) ),
inference(resolution,[status(thm)],[c_171,c_804]) ).
tff(c_44,plain,
! [X27_30,X26_29] :
( ~ r1(X27_30)
| r1(X26_29)
| ~ id(X26_29,X27_30) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_8188,plain,
! [X5_583,X23_582] :
( ~ r1('#skF_15'(X5_583))
| r1(X23_582)
| ~ id(X23_582,'#skF_17'(X5_583)) ),
inference(resolution,[status(thm)],[c_8162,c_44]) ).
tff(c_8247,plain,
! [X23_590,X5_591] :
( r1(X23_590)
| ~ id(X23_590,'#skF_17'(X5_591)) ),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_8188]) ).
tff(c_8456,plain,
! [X4_592,X5_593] :
( r1('#skF_13'(X4_592))
| ~ id('#skF_17'(X5_593),X4_592) ),
inference(resolution,[status(thm)],[c_1353,c_8247]) ).
tff(c_8677,plain,
! [X23_594] :
( r1('#skF_13'(X23_594))
| ~ id(X23_594,'#skF_1') ),
inference(resolution,[status(thm)],[c_2944,c_8456]) ).
tff(c_856,plain,
! [X23_234,X4_235] :
( id(X23_234,X4_235)
| ~ id(X23_234,'#skF_13'(X4_235)) ),
inference(resolution,[status(thm)],[c_98,c_804]) ).
tff(c_893,plain,
! [X4_236] : id('#skF_13'('#skF_13'(X4_236)),X4_236),
inference(resolution,[status(thm)],[c_98,c_856]) ).
tff(c_960,plain,
! [X4_239] : id(X4_239,'#skF_13'('#skF_13'(X4_239))),
inference(resolution,[status(thm)],[c_893,c_36]) ).
tff(c_118,plain,
! [Y3_112,Y1_108,Y2_111] :
( ~ r1(Y3_112)
| ~ id(Y1_108,Y3_112)
| ~ r4(Y2_111,Y2_111,Y1_108)
| ~ r1(Y2_111) ),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_983,plain,
! [X4_239,Y2_111] :
( ~ r1('#skF_13'('#skF_13'(X4_239)))
| ~ r4(Y2_111,Y2_111,X4_239)
| ~ r1(Y2_111) ),
inference(resolution,[status(thm)],[c_960,c_118]) ).
tff(c_8780,plain,
! [Y2_111,X4_239] :
( ~ r4(Y2_111,Y2_111,X4_239)
| ~ r1(Y2_111)
| ~ id('#skF_13'(X4_239),'#skF_1') ),
inference(resolution,[status(thm)],[c_8677,c_983]) ).
tff(c_95283,plain,
( ~ r1('#skF_1')
| ~ id('#skF_13'('#skF_1'),'#skF_1') ),
inference(resolution,[status(thm)],[c_95249,c_8780]) ).
tff(c_95321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_134,c_95283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN087+1 : TPTP v9.0.0. Released v7.3.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n009.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 : Tue Apr 8 16:14:56 EDT 2025
% 0.14/0.34 % CPUTime :
% 25.41/14.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.51/14.60
% 25.51/14.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------