TSTP Solution File: HEN010-6 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN010-6 : TPTP v8.1.2. Released v1.0.0.
% 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 : n026.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 10:42:19 EDT 2023
% Result : Unsatisfiable 130.14s 113.24s
% Output : CNFRefutation 130.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 59 ( 27 unt; 5 typ; 0 def)
% Number of atoms : 88 ( 41 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 71 ( 37 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 95 (; 95 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_equal > divide > #nlpp > zero > identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_equal,type,
less_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(f_62,axiom,
! [X] : less_equal(zero,X),
file(unknown,unknown) ).
tff(f_83,axiom,
! [X] : ( divide(X,X) = zero ),
file(unknown,unknown) ).
tff(f_81,axiom,
! [X] : ( divide(zero,X) = zero ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X,Z,Y] : less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X,Y] :
( ( divide(X,Y) != zero )
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : less_equal(divide(X,Y),X),
file(unknown,unknown) ).
tff(f_89,axiom,
! [X,Y,Z] :
( ~ less_equal(divide(X,Y),Z)
| less_equal(divide(X,Z),Y) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ( divide(X,Y) = zero ) ),
file(unknown,unknown) ).
tff(f_94,axiom,
! [X,Y,Z] :
( ~ less_equal(X,Y)
| less_equal(divide(Z,Y),divide(Z,X)) ),
file(unknown,unknown) ).
tff(f_103,axiom,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file(unknown,unknown) ).
tff(c_10,plain,
! [X_10] : less_equal(zero,X_10),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_20,plain,
! [X_16] : ( divide(X_16,X_16) = zero ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_18,plain,
! [X_15] : ( divide(zero,X_15) = zero ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_821,plain,
! [X_71,Z_72,Y_73] : less_equal(divide(divide(X_71,Z_72),divide(Y_73,Z_72)),divide(divide(X_71,Y_73),Z_72)),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_3467,plain,
! [X_132,X_133] : less_equal(divide(divide(X_132,X_133),zero),divide(divide(X_132,zero),X_133)),
inference(superposition,[status(thm),theory(equality)],[c_18,c_821]) ).
tff(c_4672,plain,
! [X_149] : less_equal(divide(divide(X_149,divide(X_149,zero)),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_20,c_3467]) ).
tff(c_12,plain,
! [Y_12,X_11] :
( ( Y_12 = X_11 )
| ~ less_equal(Y_12,X_11)
| ~ less_equal(X_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_4704,plain,
! [X_149] :
( ( divide(divide(X_149,divide(X_149,zero)),zero) = zero )
| ~ less_equal(zero,divide(divide(X_149,divide(X_149,zero)),zero)) ),
inference(resolution,[status(thm)],[c_4672,c_12]) ).
tff(c_5126,plain,
! [X_153] : ( divide(divide(X_153,divide(X_153,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_4704]) ).
tff(c_4,plain,
! [X_3,Y_4] :
( less_equal(X_3,Y_4)
| ( divide(X_3,Y_4) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_168,plain,
! [Y_40,X_41] :
( ( Y_40 = X_41 )
| ~ less_equal(Y_40,X_41)
| ~ less_equal(X_41,Y_40) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_187,plain,
! [X_42] :
( ( zero = X_42 )
| ~ less_equal(X_42,zero) ),
inference(resolution,[status(thm)],[c_10,c_168]) ).
tff(c_200,plain,
! [X_3] :
( ( zero = X_3 )
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_187]) ).
tff(c_5404,plain,
! [X_153] : ( divide(X_153,divide(X_153,zero)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_5126,c_200]) ).
tff(c_6,plain,
! [X_5,Y_6] : less_equal(divide(X_5,Y_6),X_5),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1919,plain,
! [Y_102,X_103] :
( ( Y_102 = X_103 )
| ~ less_equal(Y_102,X_103)
| ( divide(X_103,Y_102) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_168]) ).
tff(c_32467,plain,
! [X_329,Y_330] :
( ( divide(X_329,Y_330) = X_329 )
| ( divide(X_329,divide(X_329,Y_330)) != zero ) ),
inference(resolution,[status(thm)],[c_6,c_1919]) ).
tff(c_32747,plain,
! [X_331] : ( divide(X_331,zero) = X_331 ),
inference(superposition,[status(thm),theory(equality)],[c_5404,c_32467]) ).
tff(c_33396,plain,
! [X_332] : less_equal(X_332,X_332),
inference(superposition,[status(thm),theory(equality)],[c_32747,c_6]) ).
tff(c_24,plain,
! [X_17,Z_19,Y_18] :
( less_equal(divide(X_17,Z_19),Y_18)
| ~ less_equal(divide(X_17,Y_18),Z_19) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_33512,plain,
! [X_17,Y_18] : less_equal(divide(X_17,divide(X_17,Y_18)),Y_18),
inference(resolution,[status(thm)],[c_33396,c_24]) ).
tff(c_100,plain,
! [X_34,Y_35] :
( ( divide(X_34,Y_35) = zero )
| ~ less_equal(X_34,Y_35) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_115,plain,
! [X_5,Y_6] : ( divide(divide(X_5,Y_6),X_5) = zero ),
inference(resolution,[status(thm)],[c_6,c_100]) ).
tff(c_32685,plain,
! [X_153] : ( divide(X_153,zero) = X_153 ),
inference(superposition,[status(thm),theory(equality)],[c_5404,c_32467]) ).
tff(c_665,plain,
! [Z_63,Y_64,X_65] :
( less_equal(divide(Z_63,Y_64),divide(Z_63,X_65))
| ~ less_equal(X_65,Y_64) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_2356,plain,
! [Z_111,X_112,Y_113] :
( less_equal(divide(Z_111,divide(Z_111,X_112)),Y_113)
| ~ less_equal(X_112,Y_113) ),
inference(resolution,[status(thm)],[c_665,c_24]) ).
tff(c_185,plain,
! [X_10] :
( ( zero = X_10 )
| ~ less_equal(X_10,zero) ),
inference(resolution,[status(thm)],[c_10,c_168]) ).
tff(c_2432,plain,
! [Z_111,X_112] :
( ( divide(Z_111,divide(Z_111,X_112)) = zero )
| ~ less_equal(X_112,zero) ),
inference(resolution,[status(thm)],[c_2356,c_185]) ).
tff(c_36990,plain,
! [Z_353,X_354] :
( ( divide(Z_353,X_354) = Z_353 )
| ~ less_equal(X_354,zero) ),
inference(superposition,[status(thm),theory(equality)],[c_2432,c_32467]) ).
tff(c_37038,plain,
! [Z_353,X_3] :
( ( divide(Z_353,X_3) = Z_353 )
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_36990]) ).
tff(c_37271,plain,
! [Z_353] : ( divide(Z_353,zero) = Z_353 ),
inference(demodulation,[status(thm),theory(equality)],[c_32685,c_37038]) ).
tff(c_868,plain,
! [X_71,X_16] : less_equal(divide(divide(X_71,X_16),zero),divide(divide(X_71,X_16),X_16)),
inference(superposition,[status(thm),theory(equality)],[c_20,c_821]) ).
tff(c_25578,plain,
! [Z_289,Y_290,X_291] :
( ( divide(Z_289,Y_290) = divide(Z_289,X_291) )
| ~ less_equal(divide(Z_289,X_291),divide(Z_289,Y_290))
| ~ less_equal(X_291,Y_290) ),
inference(resolution,[status(thm)],[c_665,c_12]) ).
tff(c_25667,plain,
! [X_71,X_16] :
( ( divide(divide(X_71,X_16),zero) = divide(divide(X_71,X_16),X_16) )
| ~ less_equal(zero,X_16) ),
inference(resolution,[status(thm)],[c_868,c_25578]) ).
tff(c_25893,plain,
! [X_71,X_16] : ( divide(divide(X_71,X_16),zero) = divide(divide(X_71,X_16),X_16) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_25667]) ).
tff(c_38910,plain,
! [X_71,X_16] : ( divide(divide(X_71,X_16),X_16) = divide(X_71,X_16) ),
inference(demodulation,[status(thm),theory(equality)],[c_37271,c_25893]) ).
tff(c_26,plain,
! [Z_22,Y_21,X_20] :
( less_equal(divide(Z_22,Y_21),divide(Z_22,X_20))
| ~ less_equal(X_20,Y_21) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_326919,plain,
! [Z_1491,Y_1492,X_1493] :
( ( divide(Z_1491,Y_1492) = divide(Z_1491,X_1493) )
| ( divide(divide(Z_1491,X_1493),divide(Z_1491,Y_1492)) != zero )
| ~ less_equal(X_1493,Y_1492) ),
inference(resolution,[status(thm)],[c_26,c_1919]) ).
tff(c_327556,plain,
! [X_71,X_16,X_1493] :
( ( divide(divide(X_71,X_16),X_16) = divide(divide(X_71,X_16),X_1493) )
| ( divide(divide(divide(X_71,X_16),X_1493),divide(X_71,X_16)) != zero )
| ~ less_equal(X_1493,X_16) ),
inference(superposition,[status(thm),theory(equality)],[c_38910,c_326919]) ).
tff(c_679807,plain,
! [X_2122,X_2123,X_2124] :
( ( divide(divide(X_2122,X_2123),X_2124) = divide(X_2122,X_2123) )
| ~ less_equal(X_2124,X_2123) ),
inference(demodulation,[status(thm),theory(equality)],[c_115,c_38910,c_327556]) ).
tff(c_32,plain,
divide(divide(identity,a),divide(identity,divide(identity,a))) != divide(identity,a),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_682837,plain,
~ less_equal(divide(identity,divide(identity,a)),a),
inference(superposition,[status(thm),theory(equality)],[c_679807,c_32]) ).
tff(c_683909,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33512,c_682837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN010-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 13:27:31 EDT 2023
% 0.19/0.34 % CPUTime :
% 130.14/113.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.14/113.25
% 130.14/113.25 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 130.14/113.29
% 130.14/113.29 Inference rules
% 130.14/113.29 ----------------------
% 130.14/113.29 #Ref : 12
% 130.14/113.29 #Sup : 177650
% 130.14/113.29 #Fact : 0
% 130.14/113.29 #Define : 0
% 130.14/113.29 #Split : 3
% 130.14/113.29 #Chain : 0
% 130.14/113.29 #Close : 0
% 130.14/113.29
% 130.14/113.29 Ordering : KBO
% 130.14/113.29
% 130.14/113.29 Simplification rules
% 130.14/113.29 ----------------------
% 130.14/113.29 #Subsume : 80542
% 130.14/113.29 #Demod : 117226
% 130.14/113.29 #Tautology : 45274
% 130.14/113.29 #SimpNegUnit : 1787
% 130.14/113.29 #BackRed : 54
% 130.14/113.29
% 130.14/113.29 #Partial instantiations: 0
% 130.14/113.29 #Strategies tried : 1
% 130.14/113.29
% 130.14/113.29 Timing (in seconds)
% 130.14/113.29 ----------------------
% 130.14/113.29 Preprocessing : 0.47
% 130.14/113.29 Parsing : 0.24
% 130.14/113.29 CNF conversion : 0.03
% 130.14/113.30 Main loop : 111.74
% 130.14/113.30 Inferencing : 6.73
% 130.14/113.30 Reduction : 51.91
% 130.14/113.30 Demodulation : 45.11
% 130.14/113.30 BG Simplification : 0.63
% 130.14/113.30 Subsumption : 47.04
% 130.14/113.30 Abstraction : 1.20
% 130.14/113.30 MUC search : 0.00
% 130.14/113.30 Cooper : 0.00
% 130.14/113.30 Total : 112.28
% 130.14/113.30 Index Insertion : 0.00
% 130.14/113.30 Index Deletion : 0.00
% 130.14/113.30 Index Matching : 0.00
% 130.14/113.30 BG Taut test : 0.00
%------------------------------------------------------------------------------