TSTP Solution File: SYN069-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN069-1 : 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 : n005.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 11:09:29 EDT 2023
% Result : Unsatisfiable 2.78s 1.67s
% Output : CNFRefutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 47 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 114 ( 57 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 8 >; 2 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 26 (; 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_j > big_h > big_l > big_k > big_g > big_f > #nlpp > g > f > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(big_h,type,
big_h: ( $i * $i ) > $o ).
tff(f,type,
f: $i > $i ).
tff(g,type,
g: $i > $i ).
tff(big_g,type,
big_g: $i > $o ).
tff(big_f,type,
big_f: $i > $o ).
tff(big_k,type,
big_k: $i > $o ).
tff(big_l,type,
big_l: $i > $o ).
tff(big_j,type,
big_j: ( $i * $i ) > $o ).
tff(f_70,axiom,
big_f(a),
file(unknown,unknown) ).
tff(f_93,axiom,
! [X] :
( ~ big_f(X)
| big_h(X,g(X)) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X] :
( ~ big_h(a,X)
| big_l(X) ),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X] :
( ~ big_l(X)
| ~ big_k(X) ),
file(unknown,unknown) ).
tff(f_88,axiom,
! [X] :
( ~ big_f(X)
| big_g(g(X)) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X,Y] :
( ~ big_f(X)
| big_g(f(X))
| ~ big_g(Y)
| ~ big_h(X,Y)
| big_k(Y) ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X,Y] :
( ~ big_f(X)
| big_h(X,f(X))
| ~ big_g(Y)
| ~ big_h(X,Y)
| big_k(Y) ),
file(unknown,unknown) ).
tff(f_83,axiom,
! [X] :
( ~ big_g(X)
| ~ big_h(a,X)
| big_j(a,X) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X,Y] :
( ~ big_f(X)
| ~ big_j(X,f(X))
| ~ big_g(Y)
| ~ big_h(X,Y)
| big_k(Y) ),
file(unknown,unknown) ).
tff(c_10,plain,
big_f(a),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_22,plain,
! [X_15] :
( big_h(X_15,g(X_15))
| ~ big_f(X_15) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_12,plain,
! [X_8] :
( big_l(X_8)
| ~ big_h(a,X_8) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_26,plain,
( big_l(g(a))
| ~ big_f(a) ),
inference(resolution,[status(thm)],[c_22,c_12]) ).
tff(c_29,plain,
big_l(g(a)),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_26]) ).
tff(c_8,plain,
! [X_7] :
( ~ big_k(X_7)
| ~ big_l(X_7) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_34,plain,
~ big_k(g(a)),
inference(resolution,[status(thm)],[c_29,c_8]) ).
tff(c_16,plain,
! [X_10] :
( big_g(g(X_10))
| ~ big_f(X_10) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_18,plain,
! [X_11] :
( big_h(X_11,g(X_11))
| ~ big_f(X_11) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_35,plain,
! [Y_17,X_18] :
( big_k(Y_17)
| ~ big_h(X_18,Y_17)
| ~ big_g(Y_17)
| big_g(f(X_18))
| ~ big_f(X_18) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_43,plain,
! [X_21] :
( big_k(g(X_21))
| ~ big_g(g(X_21))
| big_g(f(X_21))
| ~ big_f(X_21) ),
inference(resolution,[status(thm)],[c_18,c_35]) ).
tff(c_46,plain,
( ~ big_g(g(a))
| big_g(f(a))
| ~ big_f(a) ),
inference(resolution,[status(thm)],[c_43,c_34]) ).
tff(c_49,plain,
( ~ big_g(g(a))
| big_g(f(a)) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_46]) ).
tff(c_50,plain,
~ big_g(g(a)),
inference(splitLeft,[status(thm)],[c_49]) ).
tff(c_53,plain,
~ big_f(a),
inference(resolution,[status(thm)],[c_16,c_50]) ).
tff(c_57,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_53]) ).
tff(c_59,plain,
big_g(g(a)),
inference(splitRight,[status(thm)],[c_49]) ).
tff(c_39,plain,
! [Y_19,X_20] :
( big_k(Y_19)
| ~ big_h(X_20,Y_19)
| ~ big_g(Y_19)
| big_h(X_20,f(X_20))
| ~ big_f(X_20) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_42,plain,
! [X_11] :
( big_k(g(X_11))
| ~ big_g(g(X_11))
| big_h(X_11,f(X_11))
| ~ big_f(X_11) ),
inference(resolution,[status(thm)],[c_18,c_39]) ).
tff(c_58,plain,
big_g(f(a)),
inference(splitRight,[status(thm)],[c_49]) ).
tff(c_14,plain,
! [X_9] :
( big_j(a,X_9)
| ~ big_h(a,X_9)
| ~ big_g(X_9) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_60,plain,
! [Y_22,X_23] :
( big_k(Y_22)
| ~ big_h(X_23,Y_22)
| ~ big_g(Y_22)
| ~ big_j(X_23,f(X_23))
| ~ big_f(X_23) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_86,plain,
! [X_25] :
( big_k(g(X_25))
| ~ big_g(g(X_25))
| ~ big_j(X_25,f(X_25))
| ~ big_f(X_25) ),
inference(resolution,[status(thm)],[c_18,c_60]) ).
tff(c_90,plain,
( big_k(g(a))
| ~ big_g(g(a))
| ~ big_f(a)
| ~ big_h(a,f(a))
| ~ big_g(f(a)) ),
inference(resolution,[status(thm)],[c_14,c_86]) ).
tff(c_93,plain,
( big_k(g(a))
| ~ big_h(a,f(a)) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_10,c_59,c_90]) ).
tff(c_94,plain,
~ big_h(a,f(a)),
inference(negUnitSimplification,[status(thm)],[c_34,c_93]) ).
tff(c_97,plain,
( big_k(g(a))
| ~ big_g(g(a))
| ~ big_f(a) ),
inference(resolution,[status(thm)],[c_42,c_94]) ).
tff(c_100,plain,
big_k(g(a)),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_59,c_97]) ).
tff(c_102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34,c_100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 17:15:27 EDT 2023
% 0.13/0.36 % CPUTime :
% 2.78/1.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.78/1.68
% 2.78/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.78/1.71
% 2.78/1.71 Inference rules
% 2.78/1.71 ----------------------
% 2.78/1.71 #Ref : 0
% 2.78/1.71 #Sup : 14
% 2.78/1.71 #Fact : 0
% 2.78/1.71 #Define : 0
% 2.78/1.71 #Split : 1
% 2.78/1.71 #Chain : 0
% 2.78/1.71 #Close : 0
% 2.78/1.71
% 2.78/1.71 Ordering : KBO
% 2.78/1.71
% 2.78/1.71 Simplification rules
% 2.78/1.71 ----------------------
% 2.78/1.71 #Subsume : 2
% 2.78/1.71 #Demod : 10
% 2.78/1.71 #Tautology : 0
% 2.78/1.71 #SimpNegUnit : 3
% 2.78/1.71 #BackRed : 0
% 2.78/1.71
% 2.78/1.71 #Partial instantiations: 0
% 2.78/1.71 #Strategies tried : 1
% 2.78/1.71
% 2.78/1.71 Timing (in seconds)
% 2.78/1.71 ----------------------
% 3.03/1.71 Preprocessing : 0.40
% 3.03/1.71 Parsing : 0.22
% 3.03/1.71 CNF conversion : 0.02
% 3.03/1.71 Main loop : 0.24
% 3.03/1.71 Inferencing : 0.10
% 3.03/1.71 Reduction : 0.05
% 3.03/1.71 Demodulation : 0.04
% 3.03/1.71 BG Simplification : 0.02
% 3.03/1.71 Subsumption : 0.05
% 3.03/1.71 Abstraction : 0.01
% 3.03/1.71 MUC search : 0.00
% 3.03/1.71 Cooper : 0.00
% 3.03/1.71 Total : 0.68
% 3.03/1.71 Index Insertion : 0.00
% 3.03/1.71 Index Deletion : 0.00
% 3.03/1.71 Index Matching : 0.00
% 3.03/1.71 BG Taut test : 0.00
%------------------------------------------------------------------------------