TSTP Solution File: HEN007-4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN007-4 : 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 : n007.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 10:42:16 EDT 2023
% Result : Unsatisfiable 5.72s 2.50s
% Output : CNFRefutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 52 ( 24 unt; 7 typ; 0 def)
% Number of atoms : 71 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 30 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 70 (; 70 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_equal > divide > #nlpp > zero > identity > c > b > 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(b,type,
b: $i ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(c,type,
c: $i ).
tff(f_81,axiom,
! [X] : ( divide(zero,X) = zero ),
file(unknown,unknown) ).
tff(f_83,axiom,
! [X] : ( divide(X,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_53,axiom,
! [X,Y] :
( ( divide(X,Y) != zero )
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X] : less_equal(zero,X),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : less_equal(divide(X,Y),X),
file(unknown,unknown) ).
tff(f_92,axiom,
! [X,Y,Z] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,Z)
| less_equal(X,Z) ),
file(unknown,unknown) ).
tff(f_97,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_98,axiom,
less_equal(a,b),
file(unknown,unknown) ).
tff(f_100,axiom,
~ less_equal(divide(c,b),divide(c,a)),
file(unknown,unknown) ).
tff(c_18,plain,
! [X_15] : ( divide(zero,X_15) = zero ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_20,plain,
! [X_16] : ( divide(X_16,X_16) = zero ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_349,plain,
! [X_48,Z_49,Y_50] : less_equal(divide(divide(X_48,Z_49),divide(Y_50,Z_49)),divide(divide(X_48,Y_50),Z_49)),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_2961,plain,
! [X_121,X_122] : less_equal(divide(divide(X_121,X_122),zero),divide(divide(X_121,zero),X_122)),
inference(superposition,[status(thm),theory(equality)],[c_18,c_349]) ).
tff(c_3381,plain,
! [X_126] : less_equal(divide(divide(X_126,divide(X_126,zero)),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_20,c_2961]) ).
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_186,plain,
! [Y_36,X_37] :
( ( Y_36 = X_37 )
| ~ less_equal(Y_36,X_37)
| ~ less_equal(X_37,Y_36) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_199,plain,
! [Y_4,X_3] :
( ( Y_4 = X_3 )
| ~ less_equal(Y_4,X_3)
| ( divide(X_3,Y_4) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_186]) ).
tff(c_3388,plain,
! [X_126] :
( ( divide(divide(X_126,divide(X_126,zero)),zero) = zero )
| ( divide(zero,divide(divide(X_126,divide(X_126,zero)),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_3381,c_199]) ).
tff(c_3468,plain,
! [X_127] : ( divide(divide(X_127,divide(X_127,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_3388]) ).
tff(c_10,plain,
! [X_10] : less_equal(zero,X_10),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_240,plain,
! [X_42] :
( ( zero = X_42 )
| ~ less_equal(X_42,zero) ),
inference(resolution,[status(thm)],[c_10,c_186]) ).
tff(c_253,plain,
! [X_3] :
( ( zero = X_3 )
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_240]) ).
tff(c_3658,plain,
! [X_128] : ( divide(X_128,divide(X_128,zero)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_3468,c_253]) ).
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_208,plain,
! [X_38,Z_39,Y_40] :
( less_equal(X_38,Z_39)
| ~ less_equal(Y_40,Z_39)
| ~ less_equal(X_38,Y_40) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_786,plain,
! [X_65,X_66,Y_67] :
( less_equal(X_65,X_66)
| ~ less_equal(X_65,divide(X_66,Y_67)) ),
inference(resolution,[status(thm)],[c_6,c_208]) ).
tff(c_834,plain,
! [X_3,X_66,Y_67] :
( less_equal(X_3,X_66)
| ( divide(X_3,divide(X_66,Y_67)) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_786]) ).
tff(c_3870,plain,
! [X_129] : less_equal(X_129,X_129),
inference(superposition,[status(thm),theory(equality)],[c_3658,c_834]) ).
tff(c_26,plain,
! [X_20,Z_22,Y_21] :
( less_equal(divide(X_20,Z_22),Y_21)
| ~ less_equal(divide(X_20,Y_21),Z_22) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_4289,plain,
! [X_131,Y_132] : less_equal(divide(X_131,divide(X_131,Y_132)),Y_132),
inference(resolution,[status(thm)],[c_3870,c_26]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( ( divide(X_1,Y_2) = zero )
| ~ less_equal(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_4390,plain,
! [X_131,Y_132] : ( divide(divide(X_131,divide(X_131,Y_132)),Y_132) = zero ),
inference(resolution,[status(thm)],[c_4289,c_2]) ).
tff(c_28,plain,
less_equal(a,b),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_328,plain,
! [X_47] :
( less_equal(X_47,b)
| ~ less_equal(X_47,a) ),
inference(resolution,[status(thm)],[c_28,c_208]) ).
tff(c_554,plain,
! [X_56] :
( ( divide(X_56,b) = zero )
| ~ less_equal(X_56,a) ),
inference(resolution,[status(thm)],[c_328,c_2]) ).
tff(c_570,plain,
! [X_3] :
( ( divide(X_3,b) = zero )
| ( divide(X_3,a) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_554]) ).
tff(c_259,plain,
! [X_43,Z_44,Y_45] :
( less_equal(divide(X_43,Z_44),Y_45)
| ~ less_equal(divide(X_43,Y_45),Z_44) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_2466,plain,
! [X_108,Y_109,Y_110] :
( less_equal(divide(X_108,Y_109),Y_110)
| ( divide(divide(X_108,Y_110),Y_109) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_259]) ).
tff(c_30,plain,
~ less_equal(divide(c,b),divide(c,a)),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_2558,plain,
divide(divide(c,divide(c,a)),b) != zero,
inference(resolution,[status(thm)],[c_2466,c_30]) ).
tff(c_2581,plain,
divide(divide(c,divide(c,a)),a) != zero,
inference(superposition,[status(thm),theory(equality)],[c_570,c_2558]) ).
tff(c_5451,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4390,c_2581]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 12:57:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.72/2.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.72/2.51
% 5.72/2.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.72/2.54
% 5.72/2.54 Inference rules
% 5.72/2.54 ----------------------
% 5.72/2.54 #Ref : 0
% 5.72/2.54 #Sup : 1305
% 5.72/2.54 #Fact : 0
% 5.72/2.54 #Define : 0
% 5.72/2.54 #Split : 4
% 5.72/2.54 #Chain : 0
% 5.72/2.54 #Close : 0
% 5.72/2.54
% 5.72/2.54 Ordering : KBO
% 5.72/2.54
% 5.72/2.54 Simplification rules
% 5.72/2.54 ----------------------
% 5.72/2.54 #Subsume : 162
% 5.72/2.54 #Demod : 1312
% 5.72/2.54 #Tautology : 805
% 5.72/2.54 #SimpNegUnit : 6
% 5.72/2.54 #BackRed : 11
% 5.72/2.54
% 5.72/2.54 #Partial instantiations: 0
% 5.72/2.54 #Strategies tried : 1
% 5.72/2.54
% 5.72/2.54 Timing (in seconds)
% 5.72/2.54 ----------------------
% 5.72/2.55 Preprocessing : 0.43
% 5.72/2.55 Parsing : 0.23
% 5.72/2.55 CNF conversion : 0.02
% 5.72/2.55 Main loop : 0.93
% 5.72/2.55 Inferencing : 0.33
% 5.72/2.55 Reduction : 0.32
% 5.72/2.55 Demodulation : 0.23
% 5.72/2.55 BG Simplification : 0.03
% 5.72/2.55 Subsumption : 0.19
% 5.72/2.55 Abstraction : 0.04
% 5.72/2.55 MUC search : 0.00
% 5.72/2.55 Cooper : 0.00
% 5.72/2.55 Total : 1.41
% 5.72/2.55 Index Insertion : 0.00
% 5.72/2.55 Index Deletion : 0.00
% 5.72/2.55 Index Matching : 0.00
% 5.72/2.55 BG Taut test : 0.00
%------------------------------------------------------------------------------