TSTP Solution File: FLD070-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD070-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n001.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 10:37:42 EDT 2023
% Result : Unsatisfiable 127.88s 111.35s
% Output : CNFRefutation 127.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of formulae : 59 ( 16 unt; 12 typ; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 139 ( 71 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 8 >; 7 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 63 (; 63 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(less_or_equal,type,
less_or_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(defined,type,
defined: $i > $o ).
tff(multiplicative_inverse,type,
multiplicative_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_249,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_250,axiom,
defined(b),
file(unknown,unknown) ).
tff(f_252,axiom,
less_or_equal(additive_identity,b),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_188,axiom,
! [X,Y] :
( sum(X,Y,add(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_83,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_233,axiom,
! [U,Z,X,Y,V] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U)
| ~ sum(Y,Z,V) ),
file(unknown,unknown) ).
tff(f_158,axiom,
! [X,Y] :
( defined(add(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_159,axiom,
defined(additive_identity),
file(unknown,unknown) ).
tff(f_222,axiom,
! [X,Y] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_251,axiom,
less_or_equal(additive_identity,a),
file(unknown,unknown) ).
tff(f_212,axiom,
! [X,Z,Y] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,Z) ),
file(unknown,unknown) ).
tff(f_204,axiom,
! [X,Y] :
( sum(additive_identity,X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
file(unknown,unknown) ).
tff(f_254,axiom,
~ less_or_equal(additive_identity,add(a,b)),
file(unknown,unknown) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_56,plain,
defined(b),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_60,plain,
less_or_equal(additive_identity,b),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_6,plain,
! [X_13] :
( ~ defined(X_13)
| sum(additive_identity,X_13,X_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_200,plain,
! [Y_105,X_106] :
( ~ defined(Y_105)
| ~ defined(X_106)
| sum(X_106,Y_105,add(X_106,Y_105)) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_10,plain,
! [X_16,Y_15,Z_17] :
( ~ sum(X_16,Y_15,Z_17)
| sum(Y_15,X_16,Z_17) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_203,plain,
! [Y_105,X_106] :
( sum(Y_105,X_106,add(X_106,Y_105))
| ~ defined(Y_105)
| ~ defined(X_106) ),
inference(resolution,[status(thm)],[c_200,c_10]) ).
tff(c_364,plain,
! [Y_130,U_127,Z_129,X_128,V_131] :
( ~ sum(Y_130,Z_129,V_131)
| ~ sum(X_128,Z_129,U_127)
| ~ less_or_equal(X_128,Y_130)
| less_or_equal(U_127,V_131) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_80634,plain,
! [X_849,X_850,U_851,Y_852] :
( ~ sum(X_849,X_850,U_851)
| ~ less_or_equal(X_849,Y_852)
| less_or_equal(U_851,add(X_850,Y_852))
| ~ defined(Y_852)
| ~ defined(X_850) ),
inference(resolution,[status(thm)],[c_203,c_364]) ).
tff(c_81443,plain,
! [Y_852,X_13] :
( ~ less_or_equal(additive_identity,Y_852)
| less_or_equal(X_13,add(X_13,Y_852))
| ~ defined(Y_852)
| ~ defined(X_13) ),
inference(resolution,[status(thm)],[c_6,c_80634]) ).
tff(c_26,plain,
! [Y_50,X_49] :
( ~ defined(Y_50)
| ~ defined(X_49)
| defined(add(X_49,Y_50)) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_28,plain,
defined(additive_identity),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_135,plain,
! [Y_101,X_102] :
( ~ defined(Y_101)
| ~ defined(X_102)
| less_or_equal(Y_101,X_102)
| less_or_equal(X_102,Y_101) ),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_58,plain,
less_or_equal(additive_identity,a),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_93,plain,
! [Y_92,Z_93,X_94] :
( ~ less_or_equal(Y_92,Z_93)
| ~ less_or_equal(X_94,Y_92)
| less_or_equal(X_94,Z_93) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_98,plain,
! [X_94] :
( ~ less_or_equal(X_94,additive_identity)
| less_or_equal(X_94,a) ),
inference(resolution,[status(thm)],[c_58,c_93]) ).
tff(c_141,plain,
! [Y_101] :
( less_or_equal(Y_101,a)
| ~ defined(Y_101)
| ~ defined(additive_identity)
| less_or_equal(additive_identity,Y_101) ),
inference(resolution,[status(thm)],[c_135,c_98]) ).
tff(c_157,plain,
! [Y_101] :
( less_or_equal(Y_101,a)
| ~ defined(Y_101)
| less_or_equal(additive_identity,Y_101) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_141]) ).
tff(c_204,plain,
! [Y_107,X_108] :
( ~ less_or_equal(Y_107,X_108)
| ~ less_or_equal(X_108,Y_107)
| sum(additive_identity,X_108,Y_107) ),
inference(cnfTransformation,[status(thm)],[f_204]) ).
tff(c_210,plain,
! [X_108,Y_107] :
( sum(X_108,additive_identity,Y_107)
| ~ less_or_equal(Y_107,X_108)
| ~ less_or_equal(X_108,Y_107) ),
inference(resolution,[status(thm)],[c_204,c_10]) ).
tff(c_79282,plain,
! [X_840,U_841,X_842,Y_843] :
( ~ sum(X_840,additive_identity,U_841)
| ~ less_or_equal(X_840,X_842)
| less_or_equal(U_841,Y_843)
| ~ less_or_equal(Y_843,X_842)
| ~ less_or_equal(X_842,Y_843) ),
inference(resolution,[status(thm)],[c_210,c_364]) ).
tff(c_79518,plain,
! [X_842,Y_843] :
( ~ less_or_equal(additive_identity,X_842)
| less_or_equal(additive_identity,Y_843)
| ~ less_or_equal(Y_843,X_842)
| ~ less_or_equal(X_842,Y_843)
| ~ defined(additive_identity) ),
inference(resolution,[status(thm)],[c_6,c_79282]) ).
tff(c_246865,plain,
! [X_1511,Y_1512] :
( ~ less_or_equal(additive_identity,X_1511)
| less_or_equal(additive_identity,Y_1512)
| ~ less_or_equal(Y_1512,X_1511)
| ~ less_or_equal(X_1511,Y_1512) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_79518]) ).
tff(c_252075,plain,
! [Y_1523] :
( less_or_equal(additive_identity,Y_1523)
| ~ less_or_equal(Y_1523,a)
| ~ less_or_equal(a,Y_1523) ),
inference(resolution,[status(thm)],[c_58,c_246865]) ).
tff(c_255769,plain,
! [Y_1530] :
( ~ less_or_equal(a,Y_1530)
| ~ defined(Y_1530)
| less_or_equal(additive_identity,Y_1530) ),
inference(resolution,[status(thm)],[c_157,c_252075]) ).
tff(c_62,plain,
~ less_or_equal(additive_identity,add(a,b)),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_256332,plain,
( ~ less_or_equal(a,add(a,b))
| ~ defined(add(a,b)) ),
inference(resolution,[status(thm)],[c_255769,c_62]) ).
tff(c_256349,plain,
~ defined(add(a,b)),
inference(splitLeft,[status(thm)],[c_256332]) ).
tff(c_256352,plain,
( ~ defined(b)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_26,c_256349]) ).
tff(c_256356,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_56,c_256352]) ).
tff(c_256357,plain,
~ less_or_equal(a,add(a,b)),
inference(splitRight,[status(thm)],[c_256332]) ).
tff(c_256362,plain,
( ~ less_or_equal(additive_identity,b)
| ~ defined(b)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_81443,c_256357]) ).
tff(c_256374,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_56,c_60,c_256362]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : FLD070-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 20:30:40 EDT 2023
% 0.15/0.36 % CPUTime :
% 127.88/111.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 127.88/111.36
% 127.88/111.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 127.88/111.39
% 127.88/111.39 Inference rules
% 127.88/111.39 ----------------------
% 127.88/111.39 #Ref : 0
% 127.88/111.39 #Sup : 54572
% 127.88/111.39 #Fact : 16
% 127.88/111.39 #Define : 0
% 127.88/111.39 #Split : 33
% 127.88/111.39 #Chain : 0
% 127.88/111.39 #Close : 0
% 127.88/111.39
% 127.88/111.39 Ordering : KBO
% 127.88/111.39
% 127.88/111.39 Simplification rules
% 127.88/111.39 ----------------------
% 127.88/111.39 #Subsume : 5242
% 127.88/111.39 #Demod : 44783
% 127.88/111.39 #Tautology : 8979
% 127.88/111.39 #SimpNegUnit : 4162
% 127.88/111.39 #BackRed : 0
% 127.88/111.39
% 127.88/111.39 #Partial instantiations: 0
% 127.88/111.39 #Strategies tried : 1
% 127.88/111.39
% 127.88/111.39 Timing (in seconds)
% 127.88/111.39 ----------------------
% 127.88/111.40 Preprocessing : 0.50
% 127.88/111.40 Parsing : 0.27
% 127.88/111.40 CNF conversion : 0.03
% 127.88/111.40 Main loop : 109.81
% 127.88/111.40 Inferencing : 6.95
% 127.88/111.40 Reduction : 57.87
% 127.88/111.40 Demodulation : 50.28
% 127.88/111.40 BG Simplification : 0.32
% 127.88/111.40 Subsumption : 37.66
% 127.88/111.40 Abstraction : 0.49
% 127.88/111.40 MUC search : 0.00
% 127.88/111.40 Cooper : 0.00
% 127.88/111.40 Total : 110.37
% 127.88/111.40 Index Insertion : 0.00
% 127.88/111.40 Index Deletion : 0.00
% 127.88/111.40 Index Matching : 0.00
% 127.88/111.40 BG Taut test : 0.00
%------------------------------------------------------------------------------