TSTP Solution File: HEN010-4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN010-4 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.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 94.88s 80.20s
% Output : CNFRefutation 95.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 63 ( 25 unt; 5 typ; 0 def)
% Number of atoms : 102 ( 40 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 91 ( 47 ~; 44 |; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 112 (; 112 !; 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_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_102,axiom,
! [X,Y,Z] :
( ~ less_equal(X,Y)
| less_equal(divide(Z,Y),divide(Z,X)) ),
file(unknown,unknown) ).
tff(f_111,axiom,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,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_1053,plain,
! [X_85,Z_86,Y_87] : less_equal(divide(divide(X_85,Z_86),divide(Y_87,Z_86)),divide(divide(X_85,Y_87),Z_86)),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_5614,plain,
! [X_182,X_183] : less_equal(divide(divide(X_182,X_183),zero),divide(divide(X_182,zero),X_183)),
inference(superposition,[status(thm),theory(equality)],[c_18,c_1053]) ).
tff(c_5897,plain,
! [X_187] : less_equal(divide(divide(X_187,divide(X_187,zero)),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_20,c_5614]) ).
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_170,plain,
! [Y_43,X_44] :
( ( Y_43 = X_44 )
| ~ less_equal(Y_43,X_44)
| ~ less_equal(X_44,Y_43) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_181,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_170]) ).
tff(c_5917,plain,
! [X_187] :
( ( divide(divide(X_187,divide(X_187,zero)),zero) = zero )
| ( divide(zero,divide(divide(X_187,divide(X_187,zero)),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_5897,c_181]) ).
tff(c_6521,plain,
! [X_193] : ( divide(divide(X_193,divide(X_193,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_5917]) ).
tff(c_10,plain,
! [X_10] : less_equal(zero,X_10),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_189,plain,
! [X_45] :
( ( zero = X_45 )
| ~ less_equal(X_45,zero) ),
inference(resolution,[status(thm)],[c_10,c_170]) ).
tff(c_202,plain,
! [X_3] :
( ( zero = X_3 )
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_189]) ).
tff(c_6805,plain,
! [X_193] : ( divide(X_193,divide(X_193,zero)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_6521,c_202]) ).
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_241,plain,
! [X_48,Z_49,Y_50] :
( less_equal(X_48,Z_49)
| ~ less_equal(Y_50,Z_49)
| ~ less_equal(X_48,Y_50) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_393,plain,
! [X_60,X_61,Y_62] :
( less_equal(X_60,X_61)
| ~ less_equal(X_60,divide(X_61,Y_62)) ),
inference(resolution,[status(thm)],[c_6,c_241]) ).
tff(c_9005,plain,
! [X_212,X_213,Y_214] :
( less_equal(X_212,X_213)
| ( divide(X_212,divide(X_213,Y_214)) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_393]) ).
tff(c_9127,plain,
! [X_215] : less_equal(X_215,X_215),
inference(superposition,[status(thm),theory(equality)],[c_6805,c_9005]) ).
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_9220,plain,
! [X_20,Y_21] : less_equal(divide(X_20,divide(X_20,Y_21)),Y_21),
inference(resolution,[status(thm)],[c_9127,c_26]) ).
tff(c_102,plain,
! [X_37,Y_38] :
( ( divide(X_37,Y_38) = zero )
| ~ less_equal(X_37,Y_38) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_117,plain,
! [X_5,Y_6] : ( divide(divide(X_5,Y_6),X_5) = zero ),
inference(resolution,[status(thm)],[c_6,c_102]) ).
tff(c_1770,plain,
! [Y_113,X_114] :
( ( Y_113 = X_114 )
| ~ less_equal(Y_113,X_114)
| ( divide(X_114,Y_113) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_170]) ).
tff(c_39436,plain,
! [Y_394,X_395] :
( ( Y_394 = X_395 )
| ( divide(Y_394,X_395) != zero )
| ( divide(X_395,Y_394) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_1770]) ).
tff(c_39496,plain,
! [X_193] :
( ( divide(X_193,zero) = X_193 )
| ( divide(divide(X_193,zero),X_193) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_6805,c_39436]) ).
tff(c_39553,plain,
! [X_193] : ( divide(X_193,zero) = X_193 ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_39496]) ).
tff(c_258,plain,
! [X_51,X_52] :
( less_equal(X_51,X_52)
| ~ less_equal(X_51,zero) ),
inference(resolution,[status(thm)],[c_10,c_241]) ).
tff(c_268,plain,
! [X_3,X_52] :
( less_equal(X_3,X_52)
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_258]) ).
tff(c_40312,plain,
! [X_52] : less_equal(zero,X_52),
inference(demodulation,[status(thm),theory(equality)],[c_39553,c_268]) ).
tff(c_28,plain,
! [Z_25,Y_24,X_23] :
( less_equal(divide(Z_25,Y_24),divide(Z_25,X_23))
| ~ less_equal(X_23,Y_24) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
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_33431,plain,
! [X_371,Z_372,Y_373] :
( ( divide(divide(X_371,Z_372),divide(Y_373,Z_372)) = divide(divide(X_371,Y_373),Z_372) )
| ~ less_equal(divide(divide(X_371,Y_373),Z_372),divide(divide(X_371,Z_372),divide(Y_373,Z_372))) ),
inference(resolution,[status(thm)],[c_1053,c_12]) ).
tff(c_33894,plain,
! [X_371,Y_373] :
( ( divide(divide(X_371,Y_373),divide(Y_373,Y_373)) = divide(divide(X_371,Y_373),Y_373) )
| ~ less_equal(divide(Y_373,Y_373),Y_373) ),
inference(resolution,[status(thm)],[c_28,c_33431]) ).
tff(c_34130,plain,
! [X_371,Y_373] : ( divide(divide(X_371,Y_373),zero) = divide(divide(X_371,Y_373),Y_373) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_20,c_20,c_33894]) ).
tff(c_39574,plain,
! [X_371,Y_373] : ( divide(divide(X_371,Y_373),Y_373) = divide(X_371,Y_373) ),
inference(demodulation,[status(thm),theory(equality)],[c_39553,c_34130]) ).
tff(c_24,plain,
! [X_17,Z_19,Y_18] :
( less_equal(X_17,Z_19)
| ~ less_equal(Y_18,Z_19)
| ~ less_equal(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_23215,plain,
! [X_328,X_329,Y_330,Z_331] :
( less_equal(X_328,divide(divide(X_329,Y_330),Z_331))
| ~ less_equal(X_328,divide(divide(X_329,Z_331),divide(Y_330,Z_331))) ),
inference(resolution,[status(thm)],[c_1053,c_24]) ).
tff(c_541353,plain,
! [X_1931,Z_1932,Y_1933,Y_1934] :
( less_equal(divide(divide(X_1931,Z_1932),Y_1933),divide(divide(X_1931,Y_1934),Z_1932))
| ~ less_equal(divide(Y_1934,Z_1932),Y_1933) ),
inference(resolution,[status(thm)],[c_28,c_23215]) ).
tff(c_493,plain,
! [Z_66,Y_67,X_68] :
( less_equal(divide(Z_66,Y_67),divide(Z_66,X_68))
| ~ less_equal(X_68,Y_67) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_537,plain,
! [Z_66,Y_67,X_68] :
( ( divide(Z_66,Y_67) = divide(Z_66,X_68) )
| ~ less_equal(divide(Z_66,X_68),divide(Z_66,Y_67))
| ~ less_equal(X_68,Y_67) ),
inference(resolution,[status(thm)],[c_493,c_12]) ).
tff(c_541548,plain,
! [X_1931,Y_1934,Y_1933] :
( ( divide(divide(X_1931,Y_1934),Y_1934) = divide(divide(X_1931,Y_1934),Y_1933) )
| ~ less_equal(Y_1933,Y_1934)
| ~ less_equal(divide(Y_1934,Y_1934),Y_1933) ),
inference(resolution,[status(thm)],[c_541353,c_537]) ).
tff(c_568132,plain,
! [X_2007,Y_2008,Y_2009] :
( ( divide(divide(X_2007,Y_2008),Y_2009) = divide(X_2007,Y_2008) )
| ~ less_equal(Y_2009,Y_2008) ),
inference(demodulation,[status(thm),theory(equality)],[c_40312,c_20,c_39574,c_541548]) ).
tff(c_34,plain,
divide(divide(identity,a),divide(identity,divide(identity,a))) != divide(identity,a),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_570662,plain,
~ less_equal(divide(identity,divide(identity,a)),a),
inference(superposition,[status(thm),theory(equality)],[c_568132,c_34]) ).
tff(c_571640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9220,c_570662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n027.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 13:32:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 94.88/80.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 94.88/80.21
% 94.88/80.21 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 95.04/80.24
% 95.04/80.24 Inference rules
% 95.04/80.24 ----------------------
% 95.04/80.24 #Ref : 12
% 95.04/80.24 #Sup : 150401
% 95.04/80.24 #Fact : 0
% 95.04/80.24 #Define : 0
% 95.04/80.24 #Split : 4
% 95.04/80.24 #Chain : 0
% 95.04/80.24 #Close : 0
% 95.04/80.24
% 95.04/80.24 Ordering : KBO
% 95.04/80.24
% 95.04/80.24 Simplification rules
% 95.04/80.24 ----------------------
% 95.04/80.24 #Subsume : 74310
% 95.04/80.24 #Demod : 82863
% 95.04/80.24 #Tautology : 37267
% 95.04/80.24 #SimpNegUnit : 1547
% 95.04/80.24 #BackRed : 62
% 95.04/80.24
% 95.04/80.24 #Partial instantiations: 0
% 95.04/80.24 #Strategies tried : 1
% 95.04/80.24
% 95.04/80.24 Timing (in seconds)
% 95.04/80.24 ----------------------
% 95.04/80.25 Preprocessing : 0.44
% 95.04/80.25 Parsing : 0.22
% 95.04/80.25 CNF conversion : 0.03
% 95.04/80.25 Main loop : 78.73
% 95.04/80.25 Inferencing : 5.38
% 95.04/80.25 Reduction : 35.81
% 95.04/80.25 Demodulation : 30.88
% 95.04/80.25 BG Simplification : 0.41
% 95.04/80.25 Subsumption : 33.26
% 95.04/80.25 Abstraction : 0.86
% 95.04/80.25 MUC search : 0.00
% 95.04/80.25 Cooper : 0.00
% 95.04/80.25 Total : 79.23
% 95.04/80.25 Index Insertion : 0.00
% 95.04/80.25 Index Deletion : 0.00
% 95.04/80.25 Index Matching : 0.00
% 95.04/80.25 BG Taut test : 0.00
%------------------------------------------------------------------------------