TSTP Solution File: LCL355-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL355-1 : TPTP v8.1.2. Released v2.3.0.
% 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 : 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 10:47:57 EDT 2023
% Result : Unsatisfiable 2.51s 1.57s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 17 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 16 (; 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > z > y > x > u
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(x,type,
x: $i ).
tff(u,type,
u: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(y,type,
y: $i ).
tff(not,type,
not: $i > $i ).
tff(z,type,
z: $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_34,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_40,axiom,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(z,y)),u),implies(implies(z,x),u))),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5] : is_a_theorem(implies(implies(X_3,Y_4),implies(implies(Y_4,Z_5),implies(X_3,Z_5)))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_33,plain,
! [X_17,Y_18,Z_19] : is_a_theorem(implies(implies(X_17,Y_18),implies(implies(Y_18,Z_19),implies(X_17,Z_19)))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
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_32]) ).
tff(c_37,plain,
! [Y_18,Z_19,X_17] :
( is_a_theorem(implies(implies(Y_18,Z_19),implies(X_17,Z_19)))
| ~ is_a_theorem(implies(X_17,Y_18)) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_10,plain,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(z,y)),u),implies(implies(z,x),u))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_47,plain,
~ is_a_theorem(implies(implies(z,x),implies(implies(x,y),implies(z,y)))),
inference(resolution,[status(thm)],[c_37,c_10]) ).
tff(c_51,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL355-1 : TPTP v8.1.2. Released v2.3.0.
% 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
% 0.13/0.35 % Computer : n026.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 13:44:46 EDT 2023
% 0.13/0.36 % CPUTime :
% 2.51/1.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.59/1.57
% 2.59/1.57 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.59/1.61
% 2.59/1.61 Inference rules
% 2.59/1.61 ----------------------
% 2.59/1.61 #Ref : 0
% 2.59/1.61 #Sup : 7
% 2.59/1.61 #Fact : 0
% 2.59/1.61 #Define : 0
% 2.59/1.61 #Split : 1
% 2.59/1.61 #Chain : 0
% 2.59/1.61 #Close : 0
% 2.59/1.61
% 2.59/1.61 Ordering : KBO
% 2.59/1.61
% 2.59/1.61 Simplification rules
% 2.59/1.61 ----------------------
% 2.59/1.61 #Subsume : 0
% 2.59/1.61 #Demod : 1
% 2.59/1.61 #Tautology : 1
% 2.59/1.61 #SimpNegUnit : 0
% 2.59/1.61 #BackRed : 0
% 2.59/1.61
% 2.59/1.61 #Partial instantiations: 0
% 2.59/1.61 #Strategies tried : 1
% 2.59/1.61
% 2.59/1.61 Timing (in seconds)
% 2.59/1.61 ----------------------
% 2.59/1.61 Preprocessing : 0.41
% 2.59/1.61 Parsing : 0.23
% 2.59/1.61 CNF conversion : 0.02
% 2.59/1.61 Main loop : 0.19
% 2.59/1.61 Inferencing : 0.08
% 2.59/1.61 Reduction : 0.04
% 2.59/1.61 Demodulation : 0.03
% 2.59/1.61 BG Simplification : 0.01
% 2.59/1.61 Subsumption : 0.03
% 2.59/1.61 Abstraction : 0.01
% 2.59/1.61 MUC search : 0.00
% 2.59/1.61 Cooper : 0.00
% 2.59/1.61 Total : 0.65
% 2.59/1.61 Index Insertion : 0.00
% 2.59/1.61 Index Deletion : 0.00
% 2.59/1.61 Index Matching : 0.00
% 2.59/1.61 BG Taut test : 0.00
%------------------------------------------------------------------------------