TSTP Solution File: LCL178-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL178-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : 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 10:47:33 EDT 2023
% Result : Unsatisfiable 3.10s 1.84s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 11 unt; 5 typ; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 4 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 32 (; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > #nlpp > not > p
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(theorem,type,
theorem: $i > $o ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(not,type,
not: $i > $i ).
tff(axiom,type,
axiom: $i > $o ).
tff(p,type,
p: $i ).
tff(f_53,axiom,
! [A] : axiom(or(not(or(A,A)),A)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B] : axiom(or(not(A),or(B,A))),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X,Z,Y] :
( theorem(or(not(X),Z))
| ~ axiom(or(not(X),Y))
| ~ theorem(or(not(Y),Z)) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X,Y] :
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_86,axiom,
~ theorem(or(not(p),not(not(p)))),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1] : axiom(or(not(or(A_1,A_1)),A_1)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(or(not(A_2),or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_12,plain,
! [X_12] :
( ~ axiom(X_12)
| theorem(X_12) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_86,plain,
! [Y_37,Z_38,X_39] :
( ~ theorem(or(not(Y_37),Z_38))
| ~ axiom(or(not(X_39),Y_37))
| theorem(or(not(X_39),Z_38)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_333,plain,
! [X_81,Y_82,Z_83] :
( ~ axiom(or(not(X_81),Y_82))
| theorem(or(not(X_81),Z_83))
| ~ axiom(or(not(Y_82),Z_83)) ),
inference(resolution,[status(thm)],[c_12,c_86]) ).
tff(c_374,plain,
! [A_87,Z_88,B_89] :
( theorem(or(not(A_87),Z_88))
| ~ axiom(or(not(or(B_89,A_87)),Z_88)) ),
inference(resolution,[status(thm)],[c_4,c_333]) ).
tff(c_396,plain,
! [A_90] : theorem(or(not(A_90),A_90)),
inference(resolution,[status(thm)],[c_2,c_374]) ).
tff(c_6,plain,
! [A_4,B_5] : axiom(or(not(or(A_4,B_5)),or(B_5,A_4))),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_27,plain,
! [Y_24,X_25] :
( ~ theorem(Y_24)
| ~ axiom(or(not(Y_24),X_25))
| theorem(X_25) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_37,plain,
! [A_4,B_5] :
( ~ theorem(or(A_4,B_5))
| theorem(or(B_5,A_4)) ),
inference(resolution,[status(thm)],[c_6,c_27]) ).
tff(c_406,plain,
! [A_90] : theorem(or(A_90,not(A_90))),
inference(resolution,[status(thm)],[c_396,c_37]) ).
tff(c_18,plain,
~ theorem(or(not(p),not(not(p)))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_419,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_406,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL178-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 14:34:25 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.10/1.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.10/1.85
% 3.10/1.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.10/1.87
% 3.10/1.87 Inference rules
% 3.10/1.87 ----------------------
% 3.10/1.87 #Ref : 0
% 3.10/1.87 #Sup : 93
% 3.10/1.87 #Fact : 0
% 3.10/1.87 #Define : 0
% 3.10/1.87 #Split : 0
% 3.10/1.87 #Chain : 0
% 3.10/1.87 #Close : 0
% 3.10/1.87
% 3.10/1.87 Ordering : KBO
% 3.10/1.87
% 3.10/1.87 Simplification rules
% 3.10/1.87 ----------------------
% 3.10/1.87 #Subsume : 31
% 3.10/1.87 #Demod : 1
% 3.10/1.87 #Tautology : 3
% 3.10/1.87 #SimpNegUnit : 0
% 3.10/1.87 #BackRed : 1
% 3.10/1.87
% 3.10/1.87 #Partial instantiations: 0
% 3.10/1.87 #Strategies tried : 1
% 3.10/1.87
% 3.10/1.87 Timing (in seconds)
% 3.10/1.87 ----------------------
% 3.48/1.88 Preprocessing : 0.43
% 3.48/1.88 Parsing : 0.24
% 3.48/1.88 CNF conversion : 0.02
% 3.48/1.88 Main loop : 0.39
% 3.48/1.88 Inferencing : 0.17
% 3.48/1.88 Reduction : 0.09
% 3.48/1.88 Demodulation : 0.06
% 3.48/1.88 BG Simplification : 0.02
% 3.48/1.88 Subsumption : 0.10
% 3.48/1.88 Abstraction : 0.01
% 3.48/1.88 MUC search : 0.00
% 3.48/1.88 Cooper : 0.00
% 3.48/1.88 Total : 0.87
% 3.48/1.88 Index Insertion : 0.00
% 3.48/1.88 Index Deletion : 0.00
% 3.48/1.88 Index Matching : 0.00
% 3.48/1.88 BG Taut test : 0.00
%------------------------------------------------------------------------------