TSTP Solution File: MGT006+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT006+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n031.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 10:49:29 EDT 2023
% Result : Theorem 4.61s 2.30s
% Output : CNFRefutation 5.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 60 ( 16 unt; 14 typ; 0 def)
% Number of atoms : 226 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 340 ( 160 ~; 154 |; 21 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 7 >; 11 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 153 (; 152 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ reproducibility > reorganization_free > reliability > accountability > organization > greater > #nlpp > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_8 > #skF_4 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(reorganization_free,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(reliability,type,
reliability: ( $i * $i * $i ) > $o ).
tff(reproducibility,type,
reproducibility: ( $i * $i * $i ) > $o ).
tff(accountability,type,
accountability: ( $i * $i * $i ) > $o ).
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('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(organization,type,
organization: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_93,negated_conjecture,
~ ! [X,R1,R2,A1,A2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& reliability(X,R1,T1)
& reliability(X,R2,T2)
& accountability(X,A1,T1)
& accountability(X,A2,T2)
& greater(T2,T1) )
=> ( greater(R2,R1)
& greater(A2,A1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_FOL) ).
tff(f_33,axiom,
! [X,T] :
( organization(X,T)
=> ? [Rp] : reproducibility(X,Rp,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).
tff(f_72,hypothesis,
! [X,Rp1,Rp2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(X,Rp2,T2)
& greater(T2,T1) )
=> greater(Rp2,Rp1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_FOL) ).
tff(f_57,hypothesis,
! [X,Y,T1,T2,R1,R2,A1,A2,Rp1,Rp2] :
( ( organization(X,T1)
& organization(Y,T2)
& reliability(X,R1,T1)
& reliability(Y,R2,T2)
& accountability(X,A1,T1)
& accountability(Y,A2,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2) )
=> ( greater(Rp2,Rp1)
<=> ( greater(R2,R1)
& greater(A2,A1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).
tff(c_12,plain,
( ~ greater('#skF_6','#skF_5')
| ~ greater('#skF_4','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_29,plain,
~ greater('#skF_4','#skF_3'),
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_22,plain,
reliability('#skF_2','#skF_3','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_20,plain,
reliability('#skF_2','#skF_4','#skF_8'),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_28,plain,
organization('#skF_2','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_24,plain,
reorganization_free('#skF_2','#skF_7','#skF_8'),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_14,plain,
greater('#skF_8','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_18,plain,
accountability('#skF_2','#skF_5','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_26,plain,
organization('#skF_2','#skF_8'),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_16,plain,
accountability('#skF_2','#skF_6','#skF_8'),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_2,plain,
! [X_1,T_2] :
( reproducibility(X_1,'#skF_1'(X_1,T_2),T_2)
| ~ organization(X_1,T_2) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_31,plain,
! [T2_24,X_23,Rp2_21,Rp1_22,T1_25] :
( greater(Rp2_21,Rp1_22)
| ~ greater(T2_24,T1_25)
| ~ reproducibility(X_23,Rp2_21,T2_24)
| ~ reproducibility(X_23,Rp1_22,T1_25)
| ~ reorganization_free(X_23,T1_25,T2_24)
| ~ organization(X_23,T2_24)
| ~ organization(X_23,T1_25) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_35,plain,
! [X_26,T_27,Rp1_28,T1_29] :
( greater('#skF_1'(X_26,T_27),Rp1_28)
| ~ greater(T_27,T1_29)
| ~ reproducibility(X_26,Rp1_28,T1_29)
| ~ reorganization_free(X_26,T1_29,T_27)
| ~ organization(X_26,T1_29)
| ~ organization(X_26,T_27) ),
inference(resolution,[status(thm)],[c_2,c_31]) ).
tff(c_38,plain,
! [X_1,T_27,T_2] :
( greater('#skF_1'(X_1,T_27),'#skF_1'(X_1,T_2))
| ~ greater(T_27,T_2)
| ~ reorganization_free(X_1,T_2,T_27)
| ~ organization(X_1,T_27)
| ~ organization(X_1,T_2) ),
inference(resolution,[status(thm)],[c_2,c_35]) ).
tff(c_47,plain,
! [A2_51,R2_48,A1_44,Y_49,Rp1_43,Rp2_50,T2_46,X_52,R1_45,T1_47] :
( greater(R2_48,R1_45)
| ~ greater(Rp2_50,Rp1_43)
| ~ reproducibility(Y_49,Rp2_50,T2_46)
| ~ reproducibility(X_52,Rp1_43,T1_47)
| ~ accountability(Y_49,A2_51,T2_46)
| ~ accountability(X_52,A1_44,T1_47)
| ~ reliability(Y_49,R2_48,T2_46)
| ~ reliability(X_52,R1_45,T1_47)
| ~ organization(Y_49,T2_46)
| ~ organization(X_52,T1_47) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_150,plain,
! [X_156,T_152,T_149,T2_158,R1_155,Y_157,X_154,R2_159,T1_153,A2_151,A1_150] :
( greater(R2_159,R1_155)
| ~ reproducibility(Y_157,'#skF_1'(X_156,T_152),T2_158)
| ~ reproducibility(X_154,'#skF_1'(X_156,T_149),T1_153)
| ~ accountability(Y_157,A2_151,T2_158)
| ~ accountability(X_154,A1_150,T1_153)
| ~ reliability(Y_157,R2_159,T2_158)
| ~ reliability(X_154,R1_155,T1_153)
| ~ organization(Y_157,T2_158)
| ~ organization(X_154,T1_153)
| ~ greater(T_152,T_149)
| ~ reorganization_free(X_156,T_149,T_152)
| ~ organization(X_156,T_152)
| ~ organization(X_156,T_149) ),
inference(resolution,[status(thm)],[c_38,c_47]) ).
tff(c_239,plain,
! [X_239,A1_241,T_236,T_235,T1_242,X_238,R2_234,R1_240,A2_237] :
( greater(R2_234,R1_240)
| ~ reproducibility(X_238,'#skF_1'(X_239,T_236),T1_242)
| ~ accountability(X_239,A2_237,T_235)
| ~ accountability(X_238,A1_241,T1_242)
| ~ reliability(X_239,R2_234,T_235)
| ~ reliability(X_238,R1_240,T1_242)
| ~ organization(X_238,T1_242)
| ~ greater(T_235,T_236)
| ~ reorganization_free(X_239,T_236,T_235)
| ~ organization(X_239,T_236)
| ~ organization(X_239,T_235) ),
inference(resolution,[status(thm)],[c_2,c_150]) ).
tff(c_266,plain,
! [R1_254,A2_256,T_252,R2_258,T_255,X_253,A1_257] :
( greater(R2_258,R1_254)
| ~ accountability(X_253,A2_256,T_255)
| ~ accountability(X_253,A1_257,T_252)
| ~ reliability(X_253,R2_258,T_255)
| ~ reliability(X_253,R1_254,T_252)
| ~ greater(T_255,T_252)
| ~ reorganization_free(X_253,T_252,T_255)
| ~ organization(X_253,T_255)
| ~ organization(X_253,T_252) ),
inference(resolution,[status(thm)],[c_2,c_239]) ).
tff(c_268,plain,
! [R2_258,R1_254,A1_257,T_252] :
( greater(R2_258,R1_254)
| ~ accountability('#skF_2',A1_257,T_252)
| ~ reliability('#skF_2',R2_258,'#skF_8')
| ~ reliability('#skF_2',R1_254,T_252)
| ~ greater('#skF_8',T_252)
| ~ reorganization_free('#skF_2',T_252,'#skF_8')
| ~ organization('#skF_2','#skF_8')
| ~ organization('#skF_2',T_252) ),
inference(resolution,[status(thm)],[c_16,c_266]) ).
tff(c_281,plain,
! [R2_265,R1_266,A1_267,T_268] :
( greater(R2_265,R1_266)
| ~ accountability('#skF_2',A1_267,T_268)
| ~ reliability('#skF_2',R2_265,'#skF_8')
| ~ reliability('#skF_2',R1_266,T_268)
| ~ greater('#skF_8',T_268)
| ~ reorganization_free('#skF_2',T_268,'#skF_8')
| ~ organization('#skF_2',T_268) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_268]) ).
tff(c_285,plain,
! [R2_265,R1_266] :
( greater(R2_265,R1_266)
| ~ reliability('#skF_2',R2_265,'#skF_8')
| ~ reliability('#skF_2',R1_266,'#skF_7')
| ~ greater('#skF_8','#skF_7')
| ~ reorganization_free('#skF_2','#skF_7','#skF_8')
| ~ organization('#skF_2','#skF_7') ),
inference(resolution,[status(thm)],[c_18,c_281]) ).
tff(c_292,plain,
! [R2_269,R1_270] :
( greater(R2_269,R1_270)
| ~ reliability('#skF_2',R2_269,'#skF_8')
| ~ reliability('#skF_2',R1_270,'#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_24,c_14,c_285]) ).
tff(c_296,plain,
! [R1_271] :
( greater('#skF_4',R1_271)
| ~ reliability('#skF_2',R1_271,'#skF_7') ),
inference(resolution,[status(thm)],[c_20,c_292]) ).
tff(c_299,plain,
greater('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_22,c_296]) ).
tff(c_303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29,c_299]) ).
tff(c_304,plain,
~ greater('#skF_6','#skF_5'),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_307,plain,
! [Rp1_275,T1_278,T2_277,Rp2_274,X_276] :
( greater(Rp2_274,Rp1_275)
| ~ greater(T2_277,T1_278)
| ~ reproducibility(X_276,Rp2_274,T2_277)
| ~ reproducibility(X_276,Rp1_275,T1_278)
| ~ reorganization_free(X_276,T1_278,T2_277)
| ~ organization(X_276,T2_277)
| ~ organization(X_276,T1_278) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_311,plain,
! [X_279,T_280,Rp1_281,T1_282] :
( greater('#skF_1'(X_279,T_280),Rp1_281)
| ~ greater(T_280,T1_282)
| ~ reproducibility(X_279,Rp1_281,T1_282)
| ~ reorganization_free(X_279,T1_282,T_280)
| ~ organization(X_279,T1_282)
| ~ organization(X_279,T_280) ),
inference(resolution,[status(thm)],[c_2,c_307]) ).
tff(c_314,plain,
! [X_1,T_280,T_2] :
( greater('#skF_1'(X_1,T_280),'#skF_1'(X_1,T_2))
| ~ greater(T_280,T_2)
| ~ reorganization_free(X_1,T_2,T_280)
| ~ organization(X_1,T_280)
| ~ organization(X_1,T_2) ),
inference(resolution,[status(thm)],[c_2,c_311]) ).
tff(c_316,plain,
! [R1_288,R2_291,A2_294,A1_287,Rp2_293,T1_290,T2_289,Y_292,X_295,Rp1_286] :
( greater(A2_294,A1_287)
| ~ greater(Rp2_293,Rp1_286)
| ~ reproducibility(Y_292,Rp2_293,T2_289)
| ~ reproducibility(X_295,Rp1_286,T1_290)
| ~ accountability(Y_292,A2_294,T2_289)
| ~ accountability(X_295,A1_287,T1_290)
| ~ reliability(Y_292,R2_291,T2_289)
| ~ reliability(X_295,R1_288,T1_290)
| ~ organization(Y_292,T2_289)
| ~ organization(X_295,T1_290) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_483,plain,
! [T2_477,T_475,T_468,A1_474,R1_473,T1_472,X_469,Y_476,X_470,A2_478,R2_471] :
( greater(A2_478,A1_474)
| ~ reproducibility(Y_476,'#skF_1'(X_470,T_475),T2_477)
| ~ reproducibility(X_469,'#skF_1'(X_470,T_468),T1_472)
| ~ accountability(Y_476,A2_478,T2_477)
| ~ accountability(X_469,A1_474,T1_472)
| ~ reliability(Y_476,R2_471,T2_477)
| ~ reliability(X_469,R1_473,T1_472)
| ~ organization(Y_476,T2_477)
| ~ organization(X_469,T1_472)
| ~ greater(T_475,T_468)
| ~ reorganization_free(X_470,T_468,T_475)
| ~ organization(X_470,T_475)
| ~ organization(X_470,T_468) ),
inference(resolution,[status(thm)],[c_314,c_316]) ).
tff(c_537,plain,
! [T1_511,T_506,X_510,R2_512,A1_513,A2_507,R1_509,T_514,X_508] :
( greater(A2_507,A1_513)
| ~ reproducibility(X_508,'#skF_1'(X_510,T_514),T1_511)
| ~ accountability(X_510,A2_507,T_506)
| ~ accountability(X_508,A1_513,T1_511)
| ~ reliability(X_510,R2_512,T_506)
| ~ reliability(X_508,R1_509,T1_511)
| ~ organization(X_508,T1_511)
| ~ greater(T_506,T_514)
| ~ reorganization_free(X_510,T_514,T_506)
| ~ organization(X_510,T_514)
| ~ organization(X_510,T_506) ),
inference(resolution,[status(thm)],[c_2,c_483]) ).
tff(c_545,plain,
! [X_528,R2_527,R1_526,A1_529,T_525,A2_531,T_530] :
( greater(A2_531,A1_529)
| ~ accountability(X_528,A2_531,T_530)
| ~ accountability(X_528,A1_529,T_525)
| ~ reliability(X_528,R2_527,T_530)
| ~ reliability(X_528,R1_526,T_525)
| ~ greater(T_530,T_525)
| ~ reorganization_free(X_528,T_525,T_530)
| ~ organization(X_528,T_530)
| ~ organization(X_528,T_525) ),
inference(resolution,[status(thm)],[c_2,c_537]) ).
tff(c_547,plain,
! [A1_529,T_525,R2_527,R1_526] :
( greater('#skF_6',A1_529)
| ~ accountability('#skF_2',A1_529,T_525)
| ~ reliability('#skF_2',R2_527,'#skF_8')
| ~ reliability('#skF_2',R1_526,T_525)
| ~ greater('#skF_8',T_525)
| ~ reorganization_free('#skF_2',T_525,'#skF_8')
| ~ organization('#skF_2','#skF_8')
| ~ organization('#skF_2',T_525) ),
inference(resolution,[status(thm)],[c_16,c_545]) ).
tff(c_552,plain,
! [A1_529,T_525,R2_527,R1_526] :
( greater('#skF_6',A1_529)
| ~ accountability('#skF_2',A1_529,T_525)
| ~ reliability('#skF_2',R2_527,'#skF_8')
| ~ reliability('#skF_2',R1_526,T_525)
| ~ greater('#skF_8',T_525)
| ~ reorganization_free('#skF_2',T_525,'#skF_8')
| ~ organization('#skF_2',T_525) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_547]) ).
tff(c_556,plain,
! [R2_527] : ~ reliability('#skF_2',R2_527,'#skF_8'),
inference(splitLeft,[status(thm)],[c_552]) ).
tff(c_558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_556,c_20]) ).
tff(c_560,plain,
! [A1_532,T_533,R1_534] :
( greater('#skF_6',A1_532)
| ~ accountability('#skF_2',A1_532,T_533)
| ~ reliability('#skF_2',R1_534,T_533)
| ~ greater('#skF_8',T_533)
| ~ reorganization_free('#skF_2',T_533,'#skF_8')
| ~ organization('#skF_2',T_533) ),
inference(splitRight,[status(thm)],[c_552]) ).
tff(c_564,plain,
! [R1_534] :
( greater('#skF_6','#skF_5')
| ~ reliability('#skF_2',R1_534,'#skF_7')
| ~ greater('#skF_8','#skF_7')
| ~ reorganization_free('#skF_2','#skF_7','#skF_8')
| ~ organization('#skF_2','#skF_7') ),
inference(resolution,[status(thm)],[c_18,c_560]) ).
tff(c_570,plain,
! [R1_534] :
( greater('#skF_6','#skF_5')
| ~ reliability('#skF_2',R1_534,'#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_24,c_14,c_564]) ).
tff(c_571,plain,
! [R1_534] : ~ reliability('#skF_2',R1_534,'#skF_7'),
inference(negUnitSimplification,[status(thm)],[c_304,c_570]) ).
tff(c_573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_571,c_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : MGT006+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.15 % 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
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 20:55:45 EDT 2023
% 0.16/0.37 % CPUTime :
% 4.61/2.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.61/2.31
% 4.61/2.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.02/2.37
% 5.02/2.37 Inference rules
% 5.02/2.37 ----------------------
% 5.02/2.37 #Ref : 0
% 5.02/2.37 #Sup : 130
% 5.02/2.37 #Fact : 0
% 5.02/2.37 #Define : 0
% 5.02/2.37 #Split : 12
% 5.02/2.37 #Chain : 0
% 5.02/2.37 #Close : 0
% 5.02/2.37
% 5.02/2.37 Ordering : KBO
% 5.02/2.37
% 5.02/2.37 Simplification rules
% 5.02/2.37 ----------------------
% 5.02/2.37 #Subsume : 7
% 5.02/2.37 #Demod : 29
% 5.02/2.37 #Tautology : 1
% 5.02/2.37 #SimpNegUnit : 7
% 5.02/2.37 #BackRed : 5
% 5.02/2.37
% 5.02/2.37 #Partial instantiations: 0
% 5.02/2.37 #Strategies tried : 1
% 5.02/2.37
% 5.02/2.37 Timing (in seconds)
% 5.02/2.37 ----------------------
% 5.02/2.38 Preprocessing : 0.50
% 5.02/2.38 Parsing : 0.26
% 5.02/2.38 CNF conversion : 0.04
% 5.02/2.38 Main loop : 0.62
% 5.02/2.38 Inferencing : 0.25
% 5.02/2.38 Reduction : 0.13
% 5.02/2.38 Demodulation : 0.09
% 5.02/2.38 BG Simplification : 0.03
% 5.02/2.38 Subsumption : 0.17
% 5.02/2.38 Abstraction : 0.02
% 5.02/2.38 MUC search : 0.00
% 5.02/2.38 Cooper : 0.00
% 5.02/2.38 Total : 1.22
% 5.02/2.38 Index Insertion : 0.00
% 5.02/2.38 Index Deletion : 0.00
% 5.02/2.38 Index Matching : 0.00
% 5.02/2.38 BG Taut test : 0.00
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