TSTP Solution File: HEN004-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN004-2 : 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 : n006.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 7.08s 2.81s
% Output : CNFRefutation 7.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 41 ( 17 unt; 6 typ; 0 def)
% Number of atoms : 69 ( 8 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 75 (; 75 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ quotient > less_equal > divide > #nlpp > zero > x > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_equal,type,
less_equal: ( $i * $i ) > $o ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(x,type,
x: $i ).
tff(quotient,type,
quotient: ( $i * $i * $i ) > $o ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(f_96,axiom,
! [X,Y] : quotient(X,Y,divide(X,Y)),
file(unknown,unknown) ).
tff(f_112,axiom,
! [X] : quotient(zero,X,zero),
file(unknown,unknown) ).
tff(f_114,axiom,
! [X] : quotient(X,X,zero),
file(unknown,unknown) ).
tff(f_78,axiom,
! [V3,V5,Z,V1,X,Y,V2,V4] :
( ~ quotient(X,Y,V1)
| ~ quotient(Y,Z,V2)
| ~ quotient(X,Z,V3)
| ~ quotient(V3,V2,V4)
| ~ quotient(V1,Z,V5)
| less_equal(V4,V5) ),
file(unknown,unknown) ).
tff(f_81,axiom,
! [X] : less_equal(zero,X),
file(unknown,unknown) ).
tff(f_90,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X,Y] :
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] :
( ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
file(unknown,unknown) ).
tff(f_116,axiom,
~ quotient(x,zero,x),
file(unknown,unknown) ).
tff(c_16,plain,
! [X_20,Y_21] : quotient(X_20,Y_21,divide(X_20,Y_21)),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_22,plain,
! [X_27] : quotient(zero,X_27,zero),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_24,plain,
! [X_28] : quotient(X_28,X_28,zero),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_212,plain,
! [Y_64,V4_60,V2_58,V3_59,Z_61,V1_63,V5_65,X_62] :
( less_equal(V4_60,V5_65)
| ~ quotient(V1_63,Z_61,V5_65)
| ~ quotient(V3_59,V2_58,V4_60)
| ~ quotient(X_62,Z_61,V3_59)
| ~ quotient(Y_64,Z_61,V2_58)
| ~ quotient(X_62,Y_64,V1_63) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1070,plain,
! [V4_130,V3_125,X_128,V2_126,X_127,Y_129] :
( less_equal(V4_130,zero)
| ~ quotient(V3_125,V2_126,V4_130)
| ~ quotient(X_127,X_128,V3_125)
| ~ quotient(Y_129,X_128,V2_126)
| ~ quotient(X_127,Y_129,X_128) ),
inference(resolution,[status(thm)],[c_24,c_212]) ).
tff(c_3731,plain,
! [X_211,Y_214,X_212,X_213,Y_210] :
( less_equal(divide(X_211,Y_210),zero)
| ~ quotient(X_213,X_212,X_211)
| ~ quotient(Y_214,X_212,Y_210)
| ~ quotient(X_213,Y_214,X_212) ),
inference(resolution,[status(thm)],[c_16,c_1070]) ).
tff(c_7926,plain,
! [X_307,Y_308,Y_309,Y_310] :
( less_equal(divide(divide(X_307,Y_308),Y_309),zero)
| ~ quotient(Y_310,Y_308,Y_309)
| ~ quotient(X_307,Y_310,Y_308) ),
inference(resolution,[status(thm)],[c_16,c_3731]) ).
tff(c_7976,plain,
! [X_311,X_312] :
( less_equal(divide(divide(X_311,X_312),zero),zero)
| ~ quotient(X_311,zero,X_312) ),
inference(resolution,[status(thm)],[c_22,c_7926]) ).
tff(c_10,plain,
! [X_16] : less_equal(zero,X_16),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_80,plain,
! [Y_46,X_47] :
( ( Y_46 = X_47 )
| ~ less_equal(Y_46,X_47)
| ~ less_equal(X_47,Y_46) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_94,plain,
! [X_16] :
( ( zero = X_16 )
| ~ less_equal(X_16,zero) ),
inference(resolution,[status(thm)],[c_10,c_80]) ).
tff(c_8095,plain,
! [X_313,X_314] :
( ( divide(divide(X_313,X_314),zero) = zero )
| ~ quotient(X_313,zero,X_314) ),
inference(resolution,[status(thm)],[c_7976,c_94]) ).
tff(c_8501,plain,
! [X_315,X_316] :
( quotient(divide(X_315,X_316),zero,zero)
| ~ quotient(X_315,zero,X_316) ),
inference(superposition,[status(thm),theory(equality)],[c_8095,c_16]) ).
tff(c_4,plain,
! [X_3,Y_4] :
( less_equal(X_3,Y_4)
| ~ quotient(X_3,Y_4,zero) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_8653,plain,
! [X_317,X_318] :
( less_equal(divide(X_317,X_318),zero)
| ~ quotient(X_317,zero,X_318) ),
inference(resolution,[status(thm)],[c_8501,c_4]) ).
tff(c_8728,plain,
! [X_319,X_320] :
( ( divide(X_319,X_320) = zero )
| ~ quotient(X_319,zero,X_320) ),
inference(resolution,[status(thm)],[c_8653,c_94]) ).
tff(c_8809,plain,
! [X_321] : ( divide(X_321,divide(X_321,zero)) = zero ),
inference(resolution,[status(thm)],[c_16,c_8728]) ).
tff(c_9199,plain,
! [X_322] : quotient(X_322,divide(X_322,zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_8809,c_16]) ).
tff(c_9347,plain,
! [X_323] : less_equal(X_323,divide(X_323,zero)),
inference(resolution,[status(thm)],[c_9199,c_4]) ).
tff(c_33,plain,
! [Z_36,X_37,Y_38] :
( less_equal(Z_36,X_37)
| ~ quotient(X_37,Y_38,Z_36) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_46,plain,
! [X_20,Y_21] : less_equal(divide(X_20,Y_21),X_20),
inference(resolution,[status(thm)],[c_16,c_33]) ).
tff(c_93,plain,
! [X_20,Y_21] :
( ( divide(X_20,Y_21) = X_20 )
| ~ less_equal(X_20,divide(X_20,Y_21)) ),
inference(resolution,[status(thm)],[c_46,c_80]) ).
tff(c_9498,plain,
! [X_329] : ( divide(X_329,zero) = X_329 ),
inference(resolution,[status(thm)],[c_9347,c_93]) ).
tff(c_9710,plain,
! [X_329] : quotient(X_329,zero,X_329),
inference(superposition,[status(thm),theory(equality)],[c_9498,c_16]) ).
tff(c_26,plain,
~ quotient(x,zero,x),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_9797,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9710,c_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 13:05:28 EDT 2023
% 0.14/0.36 % CPUTime :
% 7.08/2.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.08/2.82
% 7.08/2.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.08/2.85
% 7.08/2.85 Inference rules
% 7.08/2.85 ----------------------
% 7.08/2.85 #Ref : 0
% 7.08/2.85 #Sup : 2380
% 7.08/2.85 #Fact : 0
% 7.08/2.85 #Define : 0
% 7.08/2.85 #Split : 0
% 7.08/2.85 #Chain : 0
% 7.08/2.85 #Close : 0
% 7.08/2.85
% 7.08/2.85 Ordering : KBO
% 7.08/2.85
% 7.08/2.85 Simplification rules
% 7.08/2.85 ----------------------
% 7.08/2.85 #Subsume : 549
% 7.08/2.85 #Demod : 1769
% 7.08/2.85 #Tautology : 1515
% 7.08/2.85 #SimpNegUnit : 0
% 7.08/2.85 #BackRed : 13
% 7.08/2.85
% 7.08/2.85 #Partial instantiations: 0
% 7.08/2.85 #Strategies tried : 1
% 7.08/2.85
% 7.08/2.85 Timing (in seconds)
% 7.08/2.85 ----------------------
% 7.08/2.85 Preprocessing : 0.44
% 7.08/2.85 Parsing : 0.24
% 7.08/2.85 CNF conversion : 0.03
% 7.08/2.85 Main loop : 1.24
% 7.08/2.85 Inferencing : 0.45
% 7.08/2.85 Reduction : 0.38
% 7.08/2.85 Demodulation : 0.28
% 7.08/2.85 BG Simplification : 0.04
% 7.08/2.85 Subsumption : 0.30
% 7.08/2.85 Abstraction : 0.06
% 7.08/2.85 MUC search : 0.00
% 7.08/2.85 Cooper : 0.00
% 7.08/2.85 Total : 1.73
% 7.08/2.85 Index Insertion : 0.00
% 7.08/2.85 Index Deletion : 0.00
% 7.08/2.85 Index Matching : 0.00
% 7.08/2.85 BG Taut test : 0.00
%------------------------------------------------------------------------------