TSTP Solution File: LCL362-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL362-1 : 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 : n028.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 10:47:58 EDT 2023
% Result : Unsatisfiable 2.96s 1.73s
% Output : CNFRefutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 11 unt; 5 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 33 (; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > y > x
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(x,type,
x: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(y,type,
y: $i ).
tff(not,type,
not: $i > $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_36,axiom,
! [X] : is_a_theorem(implies(implies(not(X),X),X)),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
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_34,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file(unknown,unknown) ).
tff(f_40,axiom,
~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_6] : is_a_theorem(implies(implies(not(X_6),X_6),X_6)),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_8,plain,
! [X_7,Y_8] : is_a_theorem(implies(X_7,implies(not(X_7),Y_8))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_13,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_32]) ).
tff(c_21,plain,
! [X_7,Y_8] :
( is_a_theorem(implies(not(X_7),Y_8))
| ~ is_a_theorem(X_7) ),
inference(resolution,[status(thm)],[c_8,c_13]) ).
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_40,plain,
! [Y_21,Z_22,X_23] :
( is_a_theorem(implies(implies(Y_21,Z_22),implies(X_23,Z_22)))
| ~ is_a_theorem(implies(X_23,Y_21)) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_45,plain,
! [X_24,Z_25,Y_26] :
( is_a_theorem(implies(X_24,Z_25))
| ~ is_a_theorem(implies(Y_26,Z_25))
| ~ is_a_theorem(implies(X_24,Y_26)) ),
inference(resolution,[status(thm)],[c_40,c_2]) ).
tff(c_83,plain,
! [X_33,X_34] :
( is_a_theorem(implies(X_33,X_34))
| ~ is_a_theorem(implies(X_33,implies(not(X_34),X_34))) ),
inference(resolution,[status(thm)],[c_6,c_45]) ).
tff(c_157,plain,
! [Y_42,Z_43] :
( is_a_theorem(implies(implies(Y_42,Z_43),Z_43))
| ~ is_a_theorem(implies(not(Z_43),Y_42)) ),
inference(resolution,[status(thm)],[c_37,c_83]) ).
tff(c_10,plain,
~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_176,plain,
~ is_a_theorem(implies(not(implies(implies(not(y),y),y)),x)),
inference(resolution,[status(thm)],[c_157,c_10]) ).
tff(c_180,plain,
~ is_a_theorem(implies(implies(not(y),y),y)),
inference(resolution,[status(thm)],[c_21,c_176]) ).
tff(c_184,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL362-1 : TPTP v8.1.2. Released v2.3.0.
% 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
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:29:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 2.96/1.73 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.96/1.74
% 2.96/1.74 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.96/1.76
% 2.96/1.76 Inference rules
% 2.96/1.76 ----------------------
% 2.96/1.76 #Ref : 0
% 2.96/1.76 #Sup : 38
% 2.96/1.76 #Fact : 0
% 2.96/1.76 #Define : 0
% 2.96/1.76 #Split : 1
% 2.96/1.76 #Chain : 0
% 2.96/1.76 #Close : 0
% 2.96/1.76
% 2.96/1.76 Ordering : KBO
% 2.96/1.76
% 2.96/1.76 Simplification rules
% 2.96/1.76 ----------------------
% 2.96/1.76 #Subsume : 5
% 2.96/1.76 #Demod : 2
% 2.96/1.76 #Tautology : 5
% 2.96/1.76 #SimpNegUnit : 0
% 2.96/1.76 #BackRed : 0
% 2.96/1.76
% 2.96/1.76 #Partial instantiations: 0
% 2.96/1.76 #Strategies tried : 1
% 2.96/1.76
% 2.96/1.76 Timing (in seconds)
% 2.96/1.76 ----------------------
% 3.06/1.77 Preprocessing : 0.39
% 3.06/1.77 Parsing : 0.21
% 3.06/1.77 CNF conversion : 0.02
% 3.06/1.77 Main loop : 0.30
% 3.06/1.77 Inferencing : 0.13
% 3.06/1.77 Reduction : 0.07
% 3.06/1.77 Demodulation : 0.05
% 3.06/1.77 BG Simplification : 0.01
% 3.06/1.77 Subsumption : 0.07
% 3.06/1.77 Abstraction : 0.01
% 3.06/1.77 MUC search : 0.00
% 3.06/1.77 Cooper : 0.00
% 3.06/1.77 Total : 0.73
% 3.06/1.77 Index Insertion : 0.00
% 3.06/1.77 Index Deletion : 0.00
% 3.06/1.77 Index Matching : 0.00
% 3.06/1.77 BG Taut test : 0.00
%------------------------------------------------------------------------------