TSTP Solution File: GRP125-4.003 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n009.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 10:39:58 EDT 2023
% Result : Unsatisfiable 4.07s 1.89s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 48 ( 21 unt; 6 typ; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 83 ( 38 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 43 (; 43 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > equalish > group_element > #nlpp > e_3 > e_2 > e_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(group_element,type,
group_element: $i > $o ).
tff(e_2,type,
e_2: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(e_3,type,
e_3: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(e_1,type,
e_1: $i ).
tff(f_74,axiom,
~ equalish(e_1,e_2),
file(unknown,unknown) ).
tff(f_76,axiom,
~ equalish(e_1,e_3),
file(unknown,unknown) ).
tff(f_70,axiom,
group_element(e_1),
file(unknown,unknown) ).
tff(f_72,axiom,
group_element(e_3),
file(unknown,unknown) ).
tff(f_41,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(e_1,X,Y)
| product(e_2,X,Y)
| product(e_3,X,Y) ),
file(unknown,unknown) ).
tff(f_122,axiom,
! [X] : product(X,X,X),
file(unknown,unknown) ).
tff(f_104,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_80,axiom,
~ equalish(e_2,e_3),
file(unknown,unknown) ).
tff(f_84,axiom,
~ equalish(e_3,e_2),
file(unknown,unknown) ).
tff(f_71,axiom,
group_element(e_2),
file(unknown,unknown) ).
tff(f_112,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_69,axiom,
! [Y,X,Z2,Z1] :
( product(Y,X,Z2)
| ~ product(Z1,Z2,X)
| ~ product(X,Y,Z1) ),
file(unknown,unknown) ).
tff(c_16,plain,
~ equalish(e_1,e_2),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_18,plain,
~ equalish(e_1,e_3),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_10,plain,
group_element(e_1),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_14,plain,
group_element(e_3),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_97,plain,
! [X_70,Y_71] :
( product(e_3,X_70,Y_71)
| product(e_2,X_70,Y_71)
| product(e_1,X_70,Y_71)
| ~ group_element(Y_71)
| ~ group_element(X_70) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_36,plain,
! [X_27] : product(X_27,X_27,X_27),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_60,plain,
! [W_46,Z_47,X_48,Y_49] :
( equalish(W_46,Z_47)
| ~ product(X_48,Y_49,Z_47)
| ~ product(X_48,Y_49,W_46) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_63,plain,
! [W_46,X_27] :
( equalish(W_46,X_27)
| ~ product(X_27,X_27,W_46) ),
inference(resolution,[status(thm)],[c_36,c_60]) ).
tff(c_116,plain,
! [Y_71] :
( equalish(Y_71,e_3)
| product(e_2,e_3,Y_71)
| product(e_1,e_3,Y_71)
| ~ group_element(Y_71)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_97,c_63]) ).
tff(c_143,plain,
! [Y_71] :
( equalish(Y_71,e_3)
| product(e_2,e_3,Y_71)
| product(e_1,e_3,Y_71)
| ~ group_element(Y_71) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_116]) ).
tff(c_22,plain,
~ equalish(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_26,plain,
~ equalish(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_12,plain,
group_element(e_2),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_151,plain,
! [Y_72] :
( equalish(Y_72,e_3)
| product(e_2,e_3,Y_72)
| product(e_1,e_3,Y_72)
| ~ group_element(Y_72) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_116]) ).
tff(c_50,plain,
! [W_40,Z_41,X_42,Y_43] :
( equalish(W_40,Z_41)
| ~ product(X_42,Z_41,Y_43)
| ~ product(X_42,W_40,Y_43) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_53,plain,
! [W_40,X_27] :
( equalish(W_40,X_27)
| ~ product(X_27,W_40,X_27) ),
inference(resolution,[status(thm)],[c_36,c_50]) ).
tff(c_169,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_3)
| product(e_1,e_3,e_2)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_151,c_53]) ).
tff(c_191,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_3)
| product(e_1,e_3,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_169]) ).
tff(c_192,plain,
product(e_1,e_3,e_2),
inference(negUnitSimplification,[status(thm)],[c_22,c_26,c_191]) ).
tff(c_8,plain,
! [X_10,Y_9,Z1_12,Z2_11] :
( ~ product(X_10,Y_9,Z1_12)
| ~ product(Z1_12,Z2_11,X_10)
| product(Y_9,X_10,Z2_11) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_415,plain,
! [Z2_82] :
( ~ product(e_2,Z2_82,e_1)
| product(e_3,e_1,Z2_82) ),
inference(resolution,[status(thm)],[c_192,c_8]) ).
tff(c_435,plain,
( equalish(e_1,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[c_415,c_53]) ).
tff(c_453,plain,
~ product(e_2,e_3,e_1),
inference(negUnitSimplification,[status(thm)],[c_18,c_435]) ).
tff(c_489,plain,
( equalish(e_1,e_3)
| product(e_1,e_3,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_143,c_453]) ).
tff(c_495,plain,
( equalish(e_1,e_3)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_489]) ).
tff(c_496,plain,
product(e_1,e_3,e_1),
inference(negUnitSimplification,[status(thm)],[c_18,c_495]) ).
tff(c_30,plain,
! [W_17,Z_18,X_15,Y_16] :
( equalish(W_17,Z_18)
| ~ product(X_15,Y_16,Z_18)
| ~ product(X_15,Y_16,W_17) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_268,plain,
! [W_17] :
( equalish(W_17,e_2)
| ~ product(e_1,e_3,W_17) ),
inference(resolution,[status(thm)],[c_192,c_30]) ).
tff(c_499,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_496,c_268]) ).
tff(c_520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n009.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 21:55:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.07/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.07/1.90
% 4.07/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.07/1.93
% 4.07/1.93 Inference rules
% 4.07/1.93 ----------------------
% 4.07/1.93 #Ref : 0
% 4.07/1.93 #Sup : 104
% 4.07/1.93 #Fact : 0
% 4.07/1.93 #Define : 0
% 4.07/1.93 #Split : 0
% 4.07/1.93 #Chain : 0
% 4.07/1.93 #Close : 0
% 4.07/1.93
% 4.07/1.93 Ordering : KBO
% 4.07/1.93
% 4.07/1.93 Simplification rules
% 4.07/1.93 ----------------------
% 4.07/1.93 #Subsume : 0
% 4.07/1.93 #Demod : 52
% 4.07/1.93 #Tautology : 15
% 4.07/1.93 #SimpNegUnit : 10
% 4.07/1.93 #BackRed : 0
% 4.07/1.93
% 4.07/1.93 #Partial instantiations: 0
% 4.07/1.93 #Strategies tried : 1
% 4.07/1.93
% 4.07/1.93 Timing (in seconds)
% 4.07/1.93 ----------------------
% 4.07/1.93 Preprocessing : 0.44
% 4.07/1.93 Parsing : 0.24
% 4.07/1.93 CNF conversion : 0.03
% 4.07/1.93 Main loop : 0.42
% 4.07/1.93 Inferencing : 0.17
% 4.07/1.93 Reduction : 0.11
% 4.07/1.93 Demodulation : 0.07
% 4.07/1.93 BG Simplification : 0.02
% 4.07/1.93 Subsumption : 0.11
% 4.07/1.93 Abstraction : 0.02
% 4.07/1.93 MUC search : 0.00
% 4.07/1.93 Cooper : 0.00
% 4.07/1.93 Total : 0.91
% 4.07/1.93 Index Insertion : 0.00
% 4.07/1.93 Index Deletion : 0.00
% 4.07/1.93 Index Matching : 0.00
% 4.07/1.93 BG Taut test : 0.00
%------------------------------------------------------------------------------