TSTP Solution File: HEN004-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN004-3 : 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 : n012.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 10:42:13 EDT 2023
% Result : Unsatisfiable 4.64s 2.23s
% Output : CNFRefutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 21 unt; 5 typ; 0 def)
% Number of atoms : 56 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 52 (; 52 !; 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_48,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ( divide(X,Y) = zero ) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : less_equal(divide(X,Y),X),
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_79,axiom,
divide(a,zero) != a,
file(unknown,unknown) ).
tff(c_10,plain,
! [X_10] : less_equal(zero,X_10),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_21,plain,
! [X_20,Y_21] :
( ( divide(X_20,Y_21) = zero )
| ~ less_equal(X_20,Y_21) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_36,plain,
! [X_10] : ( divide(zero,X_10) = zero ),
inference(resolution,[status(thm)],[c_10,c_21]) ).
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_35,plain,
! [X_5,Y_6] : ( divide(divide(X_5,Y_6),X_5) = zero ),
inference(resolution,[status(thm)],[c_6,c_21]) ).
tff(c_183,plain,
! [X_34,Z_35,Y_36] : less_equal(divide(divide(X_34,Z_35),divide(Y_36,Z_35)),divide(divide(X_34,Y_36),Z_35)),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_267,plain,
! [X_39,Y_40] : less_equal(divide(divide(X_39,X_39),divide(Y_40,X_39)),zero),
inference(superposition,[status(thm),theory(equality)],[c_35,c_183]) ).
tff(c_307,plain,
! [X_41] : less_equal(divide(divide(X_41,X_41),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_35,c_267]) ).
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_315,plain,
! [X_41] :
( ( divide(divide(X_41,X_41),zero) = zero )
| ~ less_equal(zero,divide(divide(X_41,X_41),zero)) ),
inference(resolution,[status(thm)],[c_307,c_12]) ).
tff(c_398,plain,
! [X_43] : ( divide(divide(X_43,X_43),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_315]) ).
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_103,plain,
! [Y_26,X_27] :
( ( Y_26 = X_27 )
| ~ less_equal(Y_26,X_27)
| ~ less_equal(X_27,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_116,plain,
! [X_28] :
( ( zero = X_28 )
| ~ less_equal(X_28,zero) ),
inference(resolution,[status(thm)],[c_10,c_103]) ).
tff(c_129,plain,
! [X_3] :
( ( zero = X_3 )
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_116]) ).
tff(c_447,plain,
! [X_43] : ( divide(X_43,X_43) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_398,c_129]) ).
tff(c_1585,plain,
! [X_68,X_69] : less_equal(divide(divide(X_68,X_69),zero),divide(divide(X_68,zero),X_69)),
inference(superposition,[status(thm),theory(equality)],[c_36,c_183]) ).
tff(c_2444,plain,
! [X_75] : less_equal(divide(divide(X_75,divide(X_75,zero)),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_447,c_1585]) ).
tff(c_112,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_103]) ).
tff(c_2447,plain,
! [X_75] :
( ( divide(divide(X_75,divide(X_75,zero)),zero) = zero )
| ( divide(zero,divide(divide(X_75,divide(X_75,zero)),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_2444,c_112]) ).
tff(c_2486,plain,
! [X_75] : ( divide(divide(X_75,divide(X_75,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_2447]) ).
tff(c_2502,plain,
! [X_76] : ( divide(divide(X_76,divide(X_76,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_2447]) ).
tff(c_166,plain,
! [Y_32,X_33] :
( ( Y_32 = X_33 )
| ~ less_equal(Y_32,X_33)
| ( divide(X_33,Y_32) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_103]) ).
tff(c_180,plain,
! [X_5,Y_6] :
( ( divide(X_5,Y_6) = X_5 )
| ( divide(X_5,divide(X_5,Y_6)) != zero ) ),
inference(resolution,[status(thm)],[c_6,c_166]) ).
tff(c_2546,plain,
! [X_76] :
( ( divide(divide(X_76,divide(X_76,zero)),zero) = divide(X_76,divide(X_76,zero)) )
| ( divide(divide(X_76,divide(X_76,zero)),zero) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_2502,c_180]) ).
tff(c_2684,plain,
! [X_77] : ( divide(X_77,divide(X_77,zero)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_2486,c_2486,c_2546]) ).
tff(c_2831,plain,
! [X_77] : ( divide(X_77,zero) = X_77 ),
inference(superposition,[status(thm),theory(equality)],[c_2684,c_180]) ).
tff(c_16,plain,
divide(a,zero) != a,
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_2873,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2831,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN004-3 : 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
% 0.13/0.34 % Computer : n012.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 13:04:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.64/2.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.64/2.24
% 4.64/2.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.64/2.27
% 4.64/2.27 Inference rules
% 4.64/2.27 ----------------------
% 4.64/2.27 #Ref : 0
% 4.64/2.27 #Sup : 676
% 4.64/2.27 #Fact : 0
% 4.64/2.27 #Define : 0
% 4.64/2.27 #Split : 0
% 4.64/2.27 #Chain : 0
% 4.64/2.27 #Close : 0
% 4.64/2.27
% 4.64/2.27 Ordering : KBO
% 4.64/2.27
% 4.64/2.27 Simplification rules
% 4.64/2.27 ----------------------
% 4.64/2.27 #Subsume : 41
% 4.64/2.27 #Demod : 958
% 4.64/2.27 #Tautology : 480
% 4.64/2.27 #SimpNegUnit : 0
% 4.64/2.27 #BackRed : 14
% 4.64/2.27
% 4.64/2.27 #Partial instantiations: 0
% 4.64/2.27 #Strategies tried : 1
% 4.64/2.27
% 4.64/2.27 Timing (in seconds)
% 4.64/2.27 ----------------------
% 4.64/2.27 Preprocessing : 0.42
% 4.64/2.27 Parsing : 0.24
% 4.64/2.27 CNF conversion : 0.02
% 4.64/2.27 Main loop : 0.72
% 4.64/2.27 Inferencing : 0.28
% 4.64/2.27 Reduction : 0.26
% 4.64/2.27 Demodulation : 0.20
% 4.64/2.27 BG Simplification : 0.02
% 4.64/2.27 Subsumption : 0.12
% 4.64/2.27 Abstraction : 0.04
% 4.64/2.27 MUC search : 0.00
% 4.64/2.27 Cooper : 0.00
% 4.64/2.27 Total : 1.20
% 4.64/2.27 Index Insertion : 0.00
% 4.64/2.27 Index Deletion : 0.00
% 4.64/2.28 Index Matching : 0.00
% 4.64/2.28 BG Taut test : 0.00
%------------------------------------------------------------------------------