TSTP Solution File: KRS090+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS090+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/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 : n021.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 10:45:09 EDT 2023
% Result : Unsatisfiable 3.98s 1.95s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 85
% Syntax : Number of formulae : 107 ( 6 unt; 79 typ; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 82 ( 37 ~; 34 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 79 ( 78 >; 1 *; 0 +; 0 <<)
% Number of predicates : 78 ( 77 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 25 (; 24 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rR > xsd_string > xsd_integer > cowlThing > cowlNothing > cTEST > cC5 > cC4 > cC3 > cC2 > cC1 > cB9 > cB8 > cB7 > cB6 > cB5 > cB4 > cB31 > cB30 > cB3 > cB29 > cB28 > cB27 > cB26 > cB25 > cB24 > cB23 > cB22 > cB21 > cB20 > cB2 > cB19 > cB18 > cB17 > cB16 > cB15 > cB14 > cB13 > cB12 > cB11 > cB10 > cB1 > cB0 > cB > cA9 > cA8 > cA7 > cA6 > cA5 > cA4 > cA31 > cA30 > cA3 > cA29 > cA28 > cA27 > cA26 > cA25 > cA24 > cA23 > cA22 > cA21 > cA20 > cA2 > cA19 > cA18 > cA17 > cA16 > cA15 > cA14 > cA13 > cA12 > cA11 > cA10 > cA1 > cA0 > cA > #nlpp > i2003_11_14_17_19_57994 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cA7,type,
cA7: $i > $o ).
tff(cA2,type,
cA2: $i > $o ).
tff(cB22,type,
cB22: $i > $o ).
tff(cB11,type,
cB11: $i > $o ).
tff(cB7,type,
cB7: $i > $o ).
tff(cB14,type,
cB14: $i > $o ).
tff(cB8,type,
cB8: $i > $o ).
tff(cA25,type,
cA25: $i > $o ).
tff(cB18,type,
cB18: $i > $o ).
tff(cB9,type,
cB9: $i > $o ).
tff(cA19,type,
cA19: $i > $o ).
tff(cA6,type,
cA6: $i > $o ).
tff(cB20,type,
cB20: $i > $o ).
tff(cA1,type,
cA1: $i > $o ).
tff(cB6,type,
cB6: $i > $o ).
tff(cA,type,
cA: $i > $o ).
tff(cA22,type,
cA22: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cA30,type,
cA30: $i > $o ).
tff(cA17,type,
cA17: $i > $o ).
tff(cB27,type,
cB27: $i > $o ).
tff(cA12,type,
cA12: $i > $o ).
tff(cB26,type,
cB26: $i > $o ).
tff(cB21,type,
cB21: $i > $o ).
tff(cC2,type,
cC2: $i > $o ).
tff(cB,type,
cB: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(cA28,type,
cA28: $i > $o ).
tff(cB28,type,
cB28: $i > $o ).
tff(cA13,type,
cA13: $i > $o ).
tff(cC5,type,
cC5: $i > $o ).
tff(cA16,type,
cA16: $i > $o ).
tff(cA23,type,
cA23: $i > $o ).
tff(cB5,type,
cB5: $i > $o ).
tff(cA8,type,
cA8: $i > $o ).
tff(cB25,type,
cB25: $i > $o ).
tff(cTEST,type,
cTEST: $i > $o ).
tff(cB16,type,
cB16: $i > $o ).
tff(cB17,type,
cB17: $i > $o ).
tff(cA31,type,
cA31: $i > $o ).
tff(cA5,type,
cA5: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(cA18,type,
cA18: $i > $o ).
tff(cB13,type,
cB13: $i > $o ).
tff(cA0,type,
cA0: $i > $o ).
tff(cA10,type,
cA10: $i > $o ).
tff(cB10,type,
cB10: $i > $o ).
tff(cB3,type,
cB3: $i > $o ).
tff(rR,type,
rR: ( $i * $i ) > $o ).
tff(cB30,type,
cB30: $i > $o ).
tff(cB24,type,
cB24: $i > $o ).
tff(cA26,type,
cA26: $i > $o ).
tff(cA29,type,
cA29: $i > $o ).
tff(cA27,type,
cA27: $i > $o ).
tff(cA21,type,
cA21: $i > $o ).
tff(cC1,type,
cC1: $i > $o ).
tff(cA11,type,
cA11: $i > $o ).
tff(cB15,type,
cB15: $i > $o ).
tff(cB1,type,
cB1: $i > $o ).
tff(cA3,type,
cA3: $i > $o ).
tff(cA4,type,
cA4: $i > $o ).
tff(cA9,type,
cA9: $i > $o ).
tff(cA24,type,
cA24: $i > $o ).
tff(cB31,type,
cB31: $i > $o ).
tff(cB0,type,
cB0: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff(cB12,type,
cB12: $i > $o ).
tff(cA20,type,
cA20: $i > $o ).
tff(cC4,type,
cC4: $i > $o ).
tff(cB19,type,
cB19: $i > $o ).
tff(cB2,type,
cB2: $i > $o ).
tff(cB29,type,
cB29: $i > $o ).
tff(cA15,type,
cA15: $i > $o ).
tff(cA14,type,
cA14: $i > $o ).
tff(cB23,type,
cB23: $i > $o ).
tff(cB4,type,
cB4: $i > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(cC3,type,
cC3: $i > $o ).
tff(i2003_11_14_17_19_57994,type,
i2003_11_14_17_19_57994: $i ).
tff(f_225,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
tff(f_223,axiom,
! [X] :
( cTEST(X)
=> ( cC4(X)
& cC1(X)
& cC5(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
tff(f_206,axiom,
! [X] :
( cC4(X)
=> ? [Y] :
( rR(X,Y)
& cC2(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_184,axiom,
! [X] :
( cC2(X)
=> ( ( ~ cB(X)
| cA(X) )
& ( cB(X)
| cA(X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_214,axiom,
! [X] :
( cC5(X)
=> ! [Y] :
( rR(X,Y)
=> cC3(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_198,axiom,
! [X] :
( cC3(X)
=> ( ( ~ cB(X)
| ~ cA(X) )
& ( cB(X)
| ~ cA(X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(c_94,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_113,plain,
! [X_18] :
( cC4(X_18)
| ~ cTEST(X_18) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_117,plain,
cC4(i2003_11_14_17_19_57994),
inference(resolution,[status(thm)],[c_94,c_113]) ).
tff(c_97,plain,
! [X_14] :
( cC5(X_14)
| ~ cTEST(X_14) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_101,plain,
cC5(i2003_11_14_17_19_57994),
inference(resolution,[status(thm)],[c_94,c_97]) ).
tff(c_82,plain,
! [X_6] :
( cC2('#skF_1'(X_6))
| ~ cC4(X_6) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_209,plain,
! [X_37] :
( cA(X_37)
| cB(X_37)
| ~ cC2(X_37) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_213,plain,
! [X_6] :
( cA('#skF_1'(X_6))
| cB('#skF_1'(X_6))
| ~ cC4(X_6) ),
inference(resolution,[status(thm)],[c_82,c_209]) ).
tff(c_193,plain,
! [X_34] :
( cA(X_34)
| ~ cB(X_34)
| ~ cC2(X_34) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_339,plain,
! [X_61] :
( cA('#skF_1'(X_61))
| ~ cB('#skF_1'(X_61))
| ~ cC4(X_61) ),
inference(resolution,[status(thm)],[c_82,c_193]) ).
tff(c_343,plain,
! [X_6] :
( cA('#skF_1'(X_6))
| ~ cC4(X_6) ),
inference(resolution,[status(thm)],[c_213,c_339]) ).
tff(c_84,plain,
! [X_6] :
( rR(X_6,'#skF_1'(X_6))
| ~ cC4(X_6) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_324,plain,
! [Y_57,X_58] :
( cC3(Y_57)
| ~ rR(X_58,Y_57)
| ~ cC5(X_58) ),
inference(cnfTransformation,[status(thm)],[f_214]) ).
tff(c_329,plain,
! [X_59] :
( cC3('#skF_1'(X_59))
| ~ cC5(X_59)
| ~ cC4(X_59) ),
inference(resolution,[status(thm)],[c_84,c_324]) ).
tff(c_78,plain,
! [X_5] :
( ~ cA(X_5)
| cB(X_5)
| ~ cC3(X_5) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_346,plain,
! [X_64] :
( ~ cA('#skF_1'(X_64))
| cB('#skF_1'(X_64))
| ~ cC5(X_64)
| ~ cC4(X_64) ),
inference(resolution,[status(thm)],[c_329,c_78]) ).
tff(c_80,plain,
! [X_5] :
( ~ cA(X_5)
| ~ cB(X_5)
| ~ cC3(X_5) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_337,plain,
! [X_59] :
( ~ cA('#skF_1'(X_59))
| ~ cB('#skF_1'(X_59))
| ~ cC5(X_59)
| ~ cC4(X_59) ),
inference(resolution,[status(thm)],[c_329,c_80]) ).
tff(c_351,plain,
! [X_65] :
( ~ cA('#skF_1'(X_65))
| ~ cC5(X_65)
| ~ cC4(X_65) ),
inference(resolution,[status(thm)],[c_346,c_337]) ).
tff(c_356,plain,
! [X_66] :
( ~ cC5(X_66)
| ~ cC4(X_66) ),
inference(resolution,[status(thm)],[c_343,c_351]) ).
tff(c_359,plain,
~ cC4(i2003_11_14_17_19_57994),
inference(resolution,[status(thm)],[c_101,c_356]) ).
tff(c_363,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117,c_359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n021.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 : Thu Aug 3 20:04:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.98/1.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.98/1.95
% 3.98/1.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.98/1.98
% 3.98/1.98 Inference rules
% 3.98/1.98 ----------------------
% 3.98/1.98 #Ref : 0
% 3.98/1.98 #Sup : 45
% 3.98/1.98 #Fact : 0
% 3.98/1.98 #Define : 0
% 3.98/1.98 #Split : 32
% 3.98/1.98 #Chain : 0
% 3.98/1.98 #Close : 0
% 3.98/1.98
% 3.98/1.98 Ordering : KBO
% 3.98/1.98
% 3.98/1.98 Simplification rules
% 3.98/1.98 ----------------------
% 3.98/1.98 #Subsume : 6
% 3.98/1.98 #Demod : 1
% 3.98/1.98 #Tautology : 1
% 3.98/1.98 #SimpNegUnit : 0
% 3.98/1.98 #BackRed : 0
% 3.98/1.98
% 3.98/1.98 #Partial instantiations: 0
% 3.98/1.98 #Strategies tried : 1
% 3.98/1.98
% 3.98/1.98 Timing (in seconds)
% 3.98/1.98 ----------------------
% 3.98/1.99 Preprocessing : 0.52
% 3.98/1.99 Parsing : 0.29
% 3.98/1.99 CNF conversion : 0.04
% 3.98/1.99 Main loop : 0.41
% 3.98/1.99 Inferencing : 0.17
% 3.98/1.99 Reduction : 0.10
% 3.98/1.99 Demodulation : 0.07
% 3.98/1.99 BG Simplification : 0.03
% 3.98/1.99 Subsumption : 0.07
% 3.98/1.99 Abstraction : 0.01
% 3.98/1.99 MUC search : 0.00
% 3.98/1.99 Cooper : 0.00
% 3.98/1.99 Total : 0.99
% 3.98/1.99 Index Insertion : 0.00
% 3.98/1.99 Index Deletion : 0.00
% 3.98/1.99 Index Matching : 0.00
% 3.98/1.99 BG Taut test : 0.00
%------------------------------------------------------------------------------