TSTP Solution File: LCL064-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL064-1 : 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/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 : n026.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 10:47:16 EDT 2023
% Result : Unsatisfiable 20.70s 11.34s
% Output : CNFRefutation 20.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 10 unt; 6 typ; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 45 (; 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(b,type,
b: $i ).
tff(not,type,
not: $i > $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_40,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(Y,X))),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_44,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_5,Y_6,Z_7] : is_a_theorem(implies(implies(X_5,implies(Y_6,Z_7)),implies(implies(X_5,Y_6),implies(X_5,Z_7)))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_4,plain,
! [X_3,Y_4] : is_a_theorem(implies(X_3,implies(Y_4,X_3))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_12,plain,
! [Y_12,X_13] :
( is_a_theorem(Y_12)
| ~ is_a_theorem(X_13)
| ~ is_a_theorem(implies(X_13,Y_12)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_16,plain,
! [Y_4,X_3] :
( is_a_theorem(implies(Y_4,X_3))
| ~ is_a_theorem(X_3) ),
inference(resolution,[status(thm)],[c_4,c_12]) ).
tff(c_50,plain,
! [X_22,Y_23,Z_24] : is_a_theorem(implies(implies(X_22,implies(Y_23,Z_24)),implies(implies(X_22,Y_23),implies(X_22,Z_24)))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(implies(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_72,plain,
! [X_26,Y_27,Z_28] :
( is_a_theorem(implies(implies(X_26,Y_27),implies(X_26,Z_28)))
| ~ is_a_theorem(implies(X_26,implies(Y_27,Z_28))) ),
inference(resolution,[status(thm)],[c_50,c_2]) ).
tff(c_78,plain,
! [X_31,Z_32,Y_33] :
( is_a_theorem(implies(X_31,Z_32))
| ~ is_a_theorem(implies(X_31,Y_33))
| ~ is_a_theorem(implies(X_31,implies(Y_33,Z_32))) ),
inference(resolution,[status(thm)],[c_72,c_2]) ).
tff(c_142,plain,
! [Y_37,Z_38,Y_39] :
( is_a_theorem(implies(Y_37,Z_38))
| ~ is_a_theorem(implies(Y_37,Y_39))
| ~ is_a_theorem(implies(Y_39,Z_38)) ),
inference(resolution,[status(thm)],[c_16,c_78]) ).
tff(c_226,plain,
! [X_48,Z_49,Y_50] :
( is_a_theorem(implies(X_48,Z_49))
| ~ is_a_theorem(implies(implies(Y_50,X_48),Z_49)) ),
inference(resolution,[status(thm)],[c_4,c_142]) ).
tff(c_260,plain,
! [Y_6,Z_7,X_5] : is_a_theorem(implies(implies(Y_6,Z_7),implies(implies(X_5,Y_6),implies(X_5,Z_7)))),
inference(resolution,[status(thm)],[c_6,c_226]) ).
tff(c_54,plain,
! [X_22,Y_23,Z_24] :
( is_a_theorem(implies(implies(X_22,Y_23),implies(X_22,Z_24)))
| ~ is_a_theorem(implies(X_22,implies(Y_23,Z_24))) ),
inference(resolution,[status(thm)],[c_50,c_2]) ).
tff(c_5080,plain,
! [Y_303,X_304,Z_305] :
( is_a_theorem(implies(Y_303,implies(X_304,Z_305)))
| ~ is_a_theorem(implies(X_304,implies(Y_303,Z_305))) ),
inference(resolution,[status(thm)],[c_54,c_226]) ).
tff(c_5241,plain,
! [X_5,Y_6,Z_7] : is_a_theorem(implies(implies(X_5,Y_6),implies(implies(Y_6,Z_7),implies(X_5,Z_7)))),
inference(resolution,[status(thm)],[c_260,c_5080]) ).
tff(c_10,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_54041,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5241,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL064-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.17/0.35 % Computer : n026.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 14:23:31 EDT 2023
% 0.17/0.35 % CPUTime :
% 20.70/11.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.70/11.34
% 20.70/11.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.90/11.37
% 20.90/11.37 Inference rules
% 20.90/11.37 ----------------------
% 20.90/11.37 #Ref : 0
% 20.90/11.37 #Sup : 12306
% 20.90/11.37 #Fact : 0
% 20.90/11.37 #Define : 0
% 20.90/11.37 #Split : 16
% 20.90/11.37 #Chain : 0
% 20.90/11.37 #Close : 0
% 20.90/11.37
% 20.90/11.37 Ordering : KBO
% 20.90/11.37
% 20.90/11.37 Simplification rules
% 20.90/11.37 ----------------------
% 20.90/11.37 #Subsume : 3455
% 20.90/11.37 #Demod : 2315
% 20.90/11.37 #Tautology : 2227
% 20.90/11.37 #SimpNegUnit : 240
% 20.90/11.37 #BackRed : 98
% 20.90/11.37
% 20.90/11.37 #Partial instantiations: 0
% 20.90/11.37 #Strategies tried : 1
% 20.90/11.37
% 20.90/11.37 Timing (in seconds)
% 20.90/11.37 ----------------------
% 20.90/11.38 Preprocessing : 0.42
% 20.90/11.38 Parsing : 0.23
% 20.90/11.38 CNF conversion : 0.02
% 20.90/11.38 Main loop : 9.89
% 20.90/11.38 Inferencing : 1.37
% 20.90/11.38 Reduction : 3.56
% 20.90/11.38 Demodulation : 2.83
% 20.90/11.38 BG Simplification : 0.08
% 20.90/11.38 Subsumption : 4.32
% 20.90/11.38 Abstraction : 0.11
% 20.90/11.38 MUC search : 0.00
% 20.90/11.38 Cooper : 0.00
% 20.90/11.38 Total : 10.36
% 20.90/11.38 Index Insertion : 0.00
% 20.90/11.38 Index Deletion : 0.00
% 20.90/11.38 Index Matching : 0.00
% 20.90/11.38 BG Taut test : 0.00
%------------------------------------------------------------------------------