TSTP Solution File: SET788+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n006.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 : Tue Aug 22 10:57:01 EDT 2023
% Result : Theorem 4.03s 2.11s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 14 unt; 8 typ; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 136 ( 54 ~; 78 |; 0 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 84 (; 84 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equalish > a_member_of > #nlpp > #skF_5 > #skF_6 > #skF_3 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a_member_of,type,
a_member_of: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_37,negated_conjecture,
~ ( ! [X,Y] :
( equalish(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) )
=> ! [X,Y] :
( equalish(X,Y)
<=> equalish(Y,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tff(c_2,plain,
( ~ equalish('#skF_3','#skF_4')
| ~ equalish('#skF_6','#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_22,plain,
~ equalish('#skF_6','#skF_5'),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_8,plain,
( equalish('#skF_4','#skF_3')
| equalish('#skF_5','#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_21,plain,
equalish('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_27,plain,
! [X_14,Y_15] :
( a_member_of('#skF_1'(X_14,Y_15),Y_15)
| a_member_of('#skF_2'(X_14,Y_15),X_14)
| equalish(X_14,Y_15) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_12,plain,
! [Z_5,X_1,Y_2] :
( a_member_of(Z_5,X_1)
| ~ a_member_of(Z_5,Y_2)
| ~ equalish(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_194,plain,
! [X_40,Y_41,X_42] :
( a_member_of('#skF_2'(X_40,Y_41),X_42)
| ~ equalish(X_42,X_40)
| a_member_of('#skF_1'(X_40,Y_41),Y_41)
| equalish(X_40,Y_41) ),
inference(resolution,[status(thm)],[c_27,c_12]) ).
tff(c_16,plain,
! [X_1,Y_2] :
( a_member_of('#skF_1'(X_1,Y_2),Y_2)
| ~ a_member_of('#skF_2'(X_1,Y_2),Y_2)
| equalish(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_227,plain,
! [X_43,X_44] :
( ~ equalish(X_43,X_44)
| a_member_of('#skF_1'(X_44,X_43),X_43)
| equalish(X_44,X_43) ),
inference(resolution,[status(thm)],[c_194,c_16]) ).
tff(c_10,plain,
! [Z_5,Y_2,X_1] :
( a_member_of(Z_5,Y_2)
| ~ a_member_of(Z_5,X_1)
| ~ equalish(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_252,plain,
! [X_45,X_46,Y_47] :
( a_member_of('#skF_1'(X_45,X_46),Y_47)
| ~ equalish(X_46,Y_47)
| ~ equalish(X_46,X_45)
| equalish(X_45,X_46) ),
inference(resolution,[status(thm)],[c_227,c_10]) ).
tff(c_66,plain,
! [X_21,Y_22] :
( ~ a_member_of('#skF_1'(X_21,Y_22),X_21)
| a_member_of('#skF_2'(X_21,Y_22),X_21)
| equalish(X_21,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_77,plain,
! [X_21,Y_22,X_1] :
( a_member_of('#skF_2'(X_21,Y_22),X_1)
| ~ equalish(X_1,X_21)
| ~ a_member_of('#skF_1'(X_21,Y_22),X_21)
| equalish(X_21,Y_22) ),
inference(resolution,[status(thm)],[c_66,c_12]) ).
tff(c_339,plain,
! [Y_56,X_57,X_58] :
( a_member_of('#skF_2'(Y_56,X_57),X_58)
| ~ equalish(X_58,Y_56)
| ~ equalish(X_57,Y_56)
| equalish(Y_56,X_57) ),
inference(resolution,[status(thm)],[c_252,c_77]) ).
tff(c_14,plain,
! [X_1,Y_2] :
( ~ a_member_of('#skF_1'(X_1,Y_2),X_1)
| ~ a_member_of('#skF_2'(X_1,Y_2),Y_2)
| equalish(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_268,plain,
! [Y_47,X_46] :
( ~ a_member_of('#skF_2'(Y_47,X_46),X_46)
| ~ equalish(X_46,Y_47)
| equalish(Y_47,X_46) ),
inference(resolution,[status(thm)],[c_252,c_14]) ).
tff(c_356,plain,
! [X_59,Y_60] :
( ~ equalish(X_59,Y_60)
| equalish(Y_60,X_59) ),
inference(resolution,[status(thm)],[c_339,c_268]) ).
tff(c_360,plain,
equalish('#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_21,c_356]) ).
tff(c_366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_360]) ).
tff(c_367,plain,
~ equalish('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_368,plain,
equalish('#skF_6','#skF_5'),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_4,plain,
( equalish('#skF_4','#skF_3')
| ~ equalish('#skF_6','#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_370,plain,
equalish('#skF_4','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_4]) ).
tff(c_374,plain,
! [X_67,Y_68] :
( a_member_of('#skF_1'(X_67,Y_68),Y_68)
| a_member_of('#skF_2'(X_67,Y_68),X_67)
| equalish(X_67,Y_68) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_475,plain,
! [X_85,Y_86,X_87] :
( a_member_of('#skF_2'(X_85,Y_86),X_87)
| ~ equalish(X_87,X_85)
| a_member_of('#skF_1'(X_85,Y_86),Y_86)
| equalish(X_85,Y_86) ),
inference(resolution,[status(thm)],[c_374,c_12]) ).
tff(c_503,plain,
! [X_88,X_89] :
( ~ equalish(X_88,X_89)
| a_member_of('#skF_1'(X_89,X_88),X_88)
| equalish(X_89,X_88) ),
inference(resolution,[status(thm)],[c_475,c_16]) ).
tff(c_540,plain,
! [X_93,X_94,Y_95] :
( a_member_of('#skF_1'(X_93,X_94),Y_95)
| ~ equalish(X_94,Y_95)
| ~ equalish(X_94,X_93)
| equalish(X_93,X_94) ),
inference(resolution,[status(thm)],[c_503,c_10]) ).
tff(c_389,plain,
! [X_71,Y_72] :
( ~ a_member_of('#skF_1'(X_71,Y_72),X_71)
| a_member_of('#skF_2'(X_71,Y_72),X_71)
| equalish(X_71,Y_72) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_395,plain,
! [X_71,Y_72,X_1] :
( a_member_of('#skF_2'(X_71,Y_72),X_1)
| ~ equalish(X_1,X_71)
| ~ a_member_of('#skF_1'(X_71,Y_72),X_71)
| equalish(X_71,Y_72) ),
inference(resolution,[status(thm)],[c_389,c_12]) ).
tff(c_632,plain,
! [Y_104,X_105,X_106] :
( a_member_of('#skF_2'(Y_104,X_105),X_106)
| ~ equalish(X_106,Y_104)
| ~ equalish(X_105,Y_104)
| equalish(Y_104,X_105) ),
inference(resolution,[status(thm)],[c_540,c_395]) ).
tff(c_556,plain,
! [Y_95,X_94] :
( ~ a_member_of('#skF_2'(Y_95,X_94),X_94)
| ~ equalish(X_94,Y_95)
| equalish(Y_95,X_94) ),
inference(resolution,[status(thm)],[c_540,c_14]) ).
tff(c_649,plain,
! [X_107,Y_108] :
( ~ equalish(X_107,Y_108)
| equalish(Y_108,X_107) ),
inference(resolution,[status(thm)],[c_632,c_556]) ).
tff(c_653,plain,
equalish('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_370,c_649]) ).
tff(c_663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_367,c_653]) ).
tff(c_665,plain,
~ equalish('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_6,plain,
( ~ equalish('#skF_3','#skF_4')
| equalish('#skF_5','#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_668,plain,
~ equalish('#skF_3','#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_665,c_6]) ).
tff(c_664,plain,
equalish('#skF_4','#skF_3'),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_679,plain,
! [X_119,Y_120] :
( a_member_of('#skF_1'(X_119,Y_120),Y_120)
| a_member_of('#skF_2'(X_119,Y_120),X_119)
| equalish(X_119,Y_120) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_714,plain,
! [X_124,Y_125,X_126] :
( a_member_of('#skF_2'(X_124,Y_125),X_126)
| ~ equalish(X_126,X_124)
| a_member_of('#skF_1'(X_124,Y_125),Y_125)
| equalish(X_124,Y_125) ),
inference(resolution,[status(thm)],[c_679,c_12]) ).
tff(c_768,plain,
! [X_130,X_131] :
( ~ equalish(X_130,X_131)
| a_member_of('#skF_1'(X_131,X_130),X_130)
| equalish(X_131,X_130) ),
inference(resolution,[status(thm)],[c_714,c_16]) ).
tff(c_779,plain,
! [X_131,X_130,Y_2] :
( a_member_of('#skF_1'(X_131,X_130),Y_2)
| ~ equalish(X_130,Y_2)
| ~ equalish(X_130,X_131)
| equalish(X_131,X_130) ),
inference(resolution,[status(thm)],[c_768,c_10]) ).
tff(c_671,plain,
! [X_115,Y_116] :
( ~ a_member_of('#skF_1'(X_115,Y_116),X_115)
| a_member_of('#skF_2'(X_115,Y_116),X_115)
| equalish(X_115,Y_116) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_881,plain,
! [X_146,Y_147,X_148] :
( a_member_of('#skF_2'(X_146,Y_147),X_148)
| ~ equalish(X_148,X_146)
| ~ a_member_of('#skF_1'(X_146,Y_147),X_146)
| equalish(X_146,Y_147) ),
inference(resolution,[status(thm)],[c_671,c_12]) ).
tff(c_936,plain,
! [Y_152,X_153,X_154] :
( a_member_of('#skF_2'(Y_152,X_153),X_154)
| ~ equalish(X_154,Y_152)
| ~ equalish(X_153,Y_152)
| equalish(Y_152,X_153) ),
inference(resolution,[status(thm)],[c_779,c_881]) ).
tff(c_784,plain,
! [X_132,X_133,Y_134] :
( a_member_of('#skF_1'(X_132,X_133),Y_134)
| ~ equalish(X_133,Y_134)
| ~ equalish(X_133,X_132)
| equalish(X_132,X_133) ),
inference(resolution,[status(thm)],[c_768,c_10]) ).
tff(c_792,plain,
! [Y_134,X_133] :
( ~ a_member_of('#skF_2'(Y_134,X_133),X_133)
| ~ equalish(X_133,Y_134)
| equalish(Y_134,X_133) ),
inference(resolution,[status(thm)],[c_784,c_14]) ).
tff(c_953,plain,
! [X_155,Y_156] :
( ~ equalish(X_155,Y_156)
| equalish(Y_156,X_155) ),
inference(resolution,[status(thm)],[c_936,c_792]) ).
tff(c_957,plain,
equalish('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_664,c_953]) ).
tff(c_963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_668,c_957]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 16:54:43 EDT 2023
% 0.20/0.35 % CPUTime :
% 4.03/2.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.03/2.12
% 4.03/2.12 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.03/2.16
% 4.03/2.16 Inference rules
% 4.03/2.16 ----------------------
% 4.03/2.16 #Ref : 0
% 4.03/2.16 #Sup : 202
% 4.03/2.16 #Fact : 0
% 4.03/2.16 #Define : 0
% 4.03/2.16 #Split : 3
% 4.03/2.16 #Chain : 0
% 4.03/2.16 #Close : 0
% 4.03/2.16
% 4.03/2.16 Ordering : KBO
% 4.03/2.16
% 4.03/2.16 Simplification rules
% 4.03/2.16 ----------------------
% 4.03/2.16 #Subsume : 45
% 4.03/2.16 #Demod : 82
% 4.03/2.16 #Tautology : 71
% 4.03/2.16 #SimpNegUnit : 4
% 4.03/2.16 #BackRed : 0
% 4.03/2.16
% 4.03/2.16 #Partial instantiations: 0
% 4.03/2.16 #Strategies tried : 1
% 4.03/2.16
% 4.03/2.16 Timing (in seconds)
% 4.03/2.16 ----------------------
% 4.03/2.16 Preprocessing : 0.51
% 4.03/2.16 Parsing : 0.25
% 4.03/2.16 CNF conversion : 0.03
% 4.03/2.16 Main loop : 0.55
% 4.03/2.16 Inferencing : 0.24
% 4.03/2.16 Reduction : 0.11
% 4.03/2.16 Demodulation : 0.07
% 4.03/2.16 BG Simplification : 0.03
% 4.03/2.16 Subsumption : 0.13
% 4.03/2.16 Abstraction : 0.02
% 4.03/2.16 MUC search : 0.00
% 4.03/2.16 Cooper : 0.00
% 4.03/2.16 Total : 1.11
% 4.03/2.16 Index Insertion : 0.00
% 4.03/2.16 Index Deletion : 0.00
% 4.03/2.16 Index Matching : 0.00
% 4.03/2.16 BG Taut test : 0.00
%------------------------------------------------------------------------------