TSTP Solution File: HEN009-6 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN009-6 : 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 : 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 10:42:18 EDT 2023
% Result : Unsatisfiable 14.92s 5.29s
% Output : CNFRefutation 15.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 56 ( 25 unt; 8 typ; 0 def)
% Number of atoms : 76 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 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 : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 55 (; 55 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_equal > divide > #nlpp > zero > identity > d > 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(d,type,
d: $i ).
tff(identity,type,
identity: $i ).
tff(zero,type,
zero: $i ).
tff(c,type,
c: $i ).
tff(f_100,axiom,
b != d,
file(unknown,unknown) ).
tff(f_98,axiom,
divide(identity,c) = d,
file(unknown,unknown) ).
tff(f_74,axiom,
! [X] : less_equal(X,identity),
file(unknown,unknown) ).
tff(f_97,axiom,
divide(identity,b) = c,
file(unknown,unknown) ).
tff(f_93,axiom,
! [X,Y,Z] :
( ~ less_equal(X,Y)
| less_equal(divide(X,Z),divide(Y,Z)) ),
file(unknown,unknown) ).
tff(f_88,axiom,
! [X,Y,Z] :
( ~ less_equal(divide(X,Y),Z)
| less_equal(divide(X,Z),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_81,axiom,
! [X] : ( divide(zero,X) = zero ),
file(unknown,unknown) ).
tff(f_96,axiom,
divide(identity,a) = b,
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ( divide(X,Y) = zero ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X,Y] :
( ( divide(X,Y) != zero )
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(c_34,plain,
d != b,
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_32,plain,
divide(identity,c) = d,
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_14,plain,
! [X_13] : less_equal(X_13,identity),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_30,plain,
divide(identity,b) = c,
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_311,plain,
! [X_45,Z_46,Y_47] :
( less_equal(divide(X_45,Z_46),divide(Y_47,Z_46))
| ~ less_equal(X_45,Y_47) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_336,plain,
! [X_45] :
( less_equal(divide(X_45,b),c)
| ~ less_equal(X_45,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_30,c_311]) ).
tff(c_548,plain,
! [X_53] : less_equal(divide(X_53,b),c),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_336]) ).
tff(c_22,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_88]) ).
tff(c_620,plain,
! [X_55] : less_equal(divide(X_55,c),b),
inference(resolution,[status(thm)],[c_548,c_22]) ).
tff(c_632,plain,
less_equal(d,b),
inference(superposition,[status(thm),theory(equality)],[c_32,c_620]) ).
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_683,plain,
( ( d = b )
| ~ less_equal(b,d) ),
inference(resolution,[status(thm)],[c_632,c_12]) ).
tff(c_689,plain,
~ less_equal(b,d),
inference(negUnitSimplification,[status(thm)],[c_34,c_683]) ).
tff(c_330,plain,
! [X_45] :
( less_equal(divide(X_45,c),d)
| ~ less_equal(X_45,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_311]) ).
tff(c_488,plain,
! [X_51] : less_equal(divide(X_51,c),d),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_330]) ).
tff(c_507,plain,
! [X_51] : less_equal(divide(X_51,d),c),
inference(resolution,[status(thm)],[c_488,c_22]) ).
tff(c_18,plain,
! [X_15] : ( divide(zero,X_15) = zero ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_28,plain,
divide(identity,a) = b,
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_360,plain,
! [X_45] :
( less_equal(divide(X_45,a),b)
| ~ less_equal(X_45,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_311]) ).
tff(c_584,plain,
! [X_54] : less_equal(divide(X_54,a),b),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_360]) ).
tff(c_735,plain,
! [X_57] : less_equal(divide(X_57,b),a),
inference(resolution,[status(thm)],[c_584,c_22]) ).
tff(c_749,plain,
less_equal(c,a),
inference(superposition,[status(thm),theory(equality)],[c_30,c_735]) ).
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_770,plain,
divide(c,a) = zero,
inference(resolution,[status(thm)],[c_749,c_2]) ).
tff(c_24,plain,
! [X_20,Z_22,Y_21] :
( less_equal(divide(X_20,Z_22),divide(Y_21,Z_22))
| ~ less_equal(X_20,Y_21) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_9073,plain,
! [X_186] :
( less_equal(divide(X_186,a),zero)
| ~ less_equal(X_186,c) ),
inference(superposition,[status(thm),theory(equality)],[c_770,c_24]) ).
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_191,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_200,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_191]) ).
tff(c_9076,plain,
! [X_186] :
( ( divide(X_186,a) = zero )
| ( divide(zero,divide(X_186,a)) != zero )
| ~ less_equal(X_186,c) ),
inference(resolution,[status(thm)],[c_9073,c_200]) ).
tff(c_9139,plain,
! [X_187] :
( ( divide(X_187,a) = zero )
| ~ less_equal(X_187,c) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_9076]) ).
tff(c_9202,plain,
! [X_51] : ( divide(divide(X_51,d),a) = zero ),
inference(resolution,[status(thm)],[c_507,c_9139]) ).
tff(c_222,plain,
! [X_39,Z_40,Y_41] :
( less_equal(divide(X_39,Z_40),Y_41)
| ~ less_equal(divide(X_39,Y_41),Z_40) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_8167,plain,
! [X_174,Y_175,Y_176] :
( less_equal(divide(X_174,Y_175),Y_176)
| ( divide(divide(X_174,Y_176),Y_175) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_222]) ).
tff(c_31831,plain,
! [Y_309] :
( less_equal(b,Y_309)
| ( divide(divide(identity,Y_309),a) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_8167]) ).
tff(c_31849,plain,
less_equal(b,d),
inference(superposition,[status(thm),theory(equality)],[c_9202,c_31831]) ).
tff(c_31881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_689,c_31849]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN009-6 : 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 : n012.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 13:04:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 14.92/5.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.92/5.29
% 14.92/5.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.29/5.32
% 15.29/5.32 Inference rules
% 15.29/5.32 ----------------------
% 15.29/5.32 #Ref : 0
% 15.29/5.32 #Sup : 8115
% 15.29/5.32 #Fact : 0
% 15.29/5.32 #Define : 0
% 15.29/5.32 #Split : 11
% 15.29/5.32 #Chain : 0
% 15.29/5.32 #Close : 0
% 15.29/5.32
% 15.29/5.32 Ordering : KBO
% 15.29/5.32
% 15.29/5.32 Simplification rules
% 15.29/5.32 ----------------------
% 15.29/5.32 #Subsume : 1660
% 15.29/5.32 #Demod : 8506
% 15.29/5.32 #Tautology : 4543
% 15.29/5.32 #SimpNegUnit : 194
% 15.29/5.32 #BackRed : 28
% 15.29/5.32
% 15.29/5.32 #Partial instantiations: 0
% 15.29/5.32 #Strategies tried : 1
% 15.29/5.32
% 15.29/5.32 Timing (in seconds)
% 15.29/5.32 ----------------------
% 15.29/5.33 Preprocessing : 0.47
% 15.29/5.33 Parsing : 0.24
% 15.29/5.33 CNF conversion : 0.02
% 15.29/5.33 Main loop : 3.80
% 15.29/5.33 Inferencing : 0.85
% 15.29/5.33 Reduction : 1.98
% 15.29/5.33 Demodulation : 1.57
% 15.29/5.33 BG Simplification : 0.06
% 15.29/5.33 Subsumption : 0.72
% 15.29/5.33 Abstraction : 0.07
% 15.29/5.33 MUC search : 0.00
% 15.29/5.33 Cooper : 0.00
% 15.29/5.33 Total : 4.32
% 15.29/5.33 Index Insertion : 0.00
% 15.29/5.33 Index Deletion : 0.00
% 15.29/5.33 Index Matching : 0.00
% 15.29/5.33 BG Taut test : 0.00
%------------------------------------------------------------------------------