TSTP Solution File: GRP028-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP028-1 : 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 : n024.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 10:39:39 EDT 2023
% Result : Unsatisfiable 2.33s 1.62s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 8 unt; 4 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 33 (; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > right_solution > left_solution > #nlpp > not_identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(right_solution,type,
right_solution: ( $i * $i ) > $i ).
tff(left_solution,type,
left_solution: ( $i * $i ) > $i ).
tff(not_identity,type,
not_identity: $i > $i ).
tff(f_42,axiom,
! [X,Y] : product(left_solution(X,Y),X,Y),
file(unknown,unknown) ).
tff(f_44,axiom,
! [X,Y] : product(X,right_solution(X,Y),Y),
file(unknown,unknown) ).
tff(f_40,axiom,
! [W,U,Z,X,Y,V] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W)
| product(U,Z,W) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X] : ~ product(not_identity(X),X,not_identity(X)),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_7,Y_8] : product(left_solution(X_7,Y_8),X_7,Y_8),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_6,plain,
! [X_9,Y_10] : product(X_9,right_solution(X_9,Y_10),Y_10),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_12,plain,
! [U_20,X_21,Z_17,V_19,W_22,Y_18] :
( product(U_20,Z_17,W_22)
| ~ product(X_21,V_19,W_22)
| ~ product(Y_18,Z_17,V_19)
| ~ product(X_21,Y_18,U_20) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_19,plain,
! [U_24,Z_25,Y_23,X_26,Y_27] :
( product(U_24,Z_25,Y_23)
| ~ product(Y_27,Z_25,X_26)
| ~ product(left_solution(X_26,Y_23),Y_27,U_24) ),
inference(resolution,[status(thm)],[c_4,c_12]) ).
tff(c_48,plain,
! [U_45,X_46,Y_47,Y_48] :
( product(U_45,right_solution(X_46,Y_47),Y_48)
| ~ product(left_solution(Y_47,Y_48),X_46,U_45) ),
inference(resolution,[status(thm)],[c_6,c_19]) ).
tff(c_60,plain,
! [Y_49,X_50] : product(Y_49,right_solution(X_50,X_50),Y_49),
inference(resolution,[status(thm)],[c_4,c_48]) ).
tff(c_8,plain,
! [X_11] : ~ product(not_identity(X_11),X_11,not_identity(X_11)),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_79,plain,
$false,
inference(resolution,[status(thm)],[c_60,c_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP028-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % 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
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:24:30 EDT 2023
% 0.21/0.36 % CPUTime :
% 2.33/1.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.33/1.62
% 2.33/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.33/1.66
% 2.33/1.66 Inference rules
% 2.33/1.66 ----------------------
% 2.33/1.66 #Ref : 0
% 2.33/1.66 #Sup : 17
% 2.33/1.66 #Fact : 0
% 2.33/1.66 #Define : 0
% 2.33/1.66 #Split : 0
% 2.33/1.66 #Chain : 0
% 2.33/1.66 #Close : 0
% 2.33/1.66
% 2.33/1.66 Ordering : KBO
% 2.33/1.66
% 2.33/1.66 Simplification rules
% 2.33/1.66 ----------------------
% 2.33/1.66 #Subsume : 0
% 2.33/1.66 #Demod : 0
% 2.33/1.66 #Tautology : 0
% 2.33/1.66 #SimpNegUnit : 0
% 2.33/1.66 #BackRed : 0
% 2.33/1.66
% 2.33/1.66 #Partial instantiations: 0
% 2.33/1.66 #Strategies tried : 1
% 2.33/1.66
% 2.33/1.66 Timing (in seconds)
% 2.33/1.66 ----------------------
% 2.33/1.66 Preprocessing : 0.38
% 2.33/1.66 Parsing : 0.21
% 2.33/1.66 CNF conversion : 0.02
% 2.33/1.66 Main loop : 0.21
% 2.33/1.66 Inferencing : 0.09
% 2.33/1.66 Reduction : 0.04
% 2.33/1.66 Demodulation : 0.03
% 2.33/1.66 BG Simplification : 0.01
% 2.33/1.66 Subsumption : 0.05
% 2.33/1.66 Abstraction : 0.01
% 2.33/1.66 MUC search : 0.00
% 2.33/1.66 Cooper : 0.00
% 2.33/1.66 Total : 0.65
% 2.33/1.66 Index Insertion : 0.00
% 2.33/1.66 Index Deletion : 0.00
% 2.33/1.66 Index Matching : 0.00
% 2.33/1.66 BG Taut test : 0.00
%------------------------------------------------------------------------------