TSTP Solution File: GRP123-9.003 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP123-9.003 : 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 : 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 10:39:55 EDT 2023
% Result : Unsatisfiable 4.37s 2.10s
% Output : CNFRefutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 57 ( 25 unt; 8 typ; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 45 ~; 50 |; 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 : 12 ( 5 >; 7 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 55 (; 55 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product2 > product1 > 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(product1,type,
product1: ( $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(product2,type,
product2: ( $i * $i * $i ) > $o ).
tff(f_60,axiom,
~ equalish(e_1,e_2),
file(unknown,unknown) ).
tff(f_62,axiom,
~ equalish(e_1,e_3),
file(unknown,unknown) ).
tff(f_56,axiom,
group_element(e_1),
file(unknown,unknown) ).
tff(f_58,axiom,
group_element(e_3),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product1(X,Y,e_1)
| product1(X,Y,e_2)
| product1(X,Y,e_3) ),
file(unknown,unknown) ).
tff(f_108,axiom,
! [X] : product1(X,X,X),
file(unknown,unknown) ).
tff(f_106,axiom,
! [W,Y,X,Z] :
( ~ product1(W,Y,X)
| ~ product1(Z,Y,X)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_68,axiom,
~ equalish(e_3,e_1),
file(unknown,unknown) ).
tff(f_66,axiom,
~ equalish(e_2,e_3),
file(unknown,unknown) ).
tff(f_70,axiom,
~ equalish(e_3,e_2),
file(unknown,unknown) ).
tff(f_57,axiom,
group_element(e_2),
file(unknown,unknown) ).
tff(f_98,axiom,
! [X,W,Y,Z] :
( ~ product1(X,W,Y)
| ~ product1(X,Z,Y)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_154,axiom,
! [X,Y,Z1,Z2] :
( ~ product1(X,Y,Z1)
| ~ product1(Z1,Y,Z2)
| product2(Z2,X,Y) ),
file(unknown,unknown) ).
tff(f_146,axiom,
! [X] : product2(X,X,X),
file(unknown,unknown) ).
tff(f_128,axiom,
! [X,Y,W,Z] :
( ~ product2(X,Y,W)
| ~ product2(X,Y,Z)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(c_12,plain,
~ equalish(e_1,e_2),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14,plain,
~ equalish(e_1,e_3),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_6,plain,
group_element(e_1),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_10,plain,
group_element(e_3),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_194,plain,
! [X_92,Y_93] :
( product1(X_92,Y_93,e_3)
| product1(X_92,Y_93,e_2)
| product1(X_92,Y_93,e_1)
| ~ group_element(Y_93)
| ~ group_element(X_92) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_32,plain,
! [X_19] : product1(X_19,X_19,X_19),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_47,plain,
! [W_41,Z_42,Y_43,X_44] :
( equalish(W_41,Z_42)
| ~ product1(Z_42,Y_43,X_44)
| ~ product1(W_41,Y_43,X_44) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_50,plain,
! [W_41,X_19] :
( equalish(W_41,X_19)
| ~ product1(W_41,X_19,X_19) ),
inference(resolution,[status(thm)],[c_32,c_47]) ).
tff(c_212,plain,
! [X_92] :
( equalish(X_92,e_3)
| product1(X_92,e_3,e_2)
| product1(X_92,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X_92) ),
inference(resolution,[status(thm)],[c_194,c_50]) ).
tff(c_224,plain,
! [X_92] :
( equalish(X_92,e_3)
| product1(X_92,e_3,e_2)
| product1(X_92,e_3,e_1)
| ~ group_element(X_92) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_212]) ).
tff(c_20,plain,
~ equalish(e_3,e_1),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_18,plain,
~ equalish(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_22,plain,
~ equalish(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_8,plain,
group_element(e_2),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_359,plain,
! [X_107] :
( equalish(X_107,e_3)
| product1(X_107,e_3,e_2)
| product1(X_107,e_3,e_1)
| ~ group_element(X_107) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_212]) ).
tff(c_77,plain,
! [W_60,Z_61,X_62,Y_63] :
( equalish(W_60,Z_61)
| ~ product1(X_62,Z_61,Y_63)
| ~ product1(X_62,W_60,Y_63) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_80,plain,
! [W_60,X_19] :
( equalish(W_60,X_19)
| ~ product1(X_19,W_60,X_19) ),
inference(resolution,[status(thm)],[c_32,c_77]) ).
tff(c_365,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_3)
| product1(e_2,e_3,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_359,c_80]) ).
tff(c_379,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_3)
| product1(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_365]) ).
tff(c_380,plain,
product1(e_2,e_3,e_1),
inference(negUnitSimplification,[status(thm)],[c_18,c_22,c_379]) ).
tff(c_44,plain,
! [Z2_38,X_35,Y_36,Z1_37] :
( product2(Z2_38,X_35,Y_36)
| ~ product1(Z1_37,Y_36,Z2_38)
| ~ product1(X_35,Y_36,Z1_37) ),
inference(cnfTransformation,[status(thm)],[f_154]) ).
tff(c_450,plain,
! [X_114] :
( product2(e_1,X_114,e_3)
| ~ product1(X_114,e_3,e_2) ),
inference(resolution,[status(thm)],[c_380,c_44]) ).
tff(c_42,plain,
! [X_34] : product2(X_34,X_34,X_34),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_97,plain,
! [W_72,Z_73,X_74,Y_75] :
( equalish(W_72,Z_73)
| ~ product2(X_74,Y_75,Z_73)
| ~ product2(X_74,Y_75,W_72) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_100,plain,
! [W_72,X_34] :
( equalish(W_72,X_34)
| ~ product2(X_34,X_34,W_72) ),
inference(resolution,[status(thm)],[c_42,c_97]) ).
tff(c_460,plain,
( equalish(e_3,e_1)
| ~ product1(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[c_450,c_100]) ).
tff(c_482,plain,
~ product1(e_1,e_3,e_2),
inference(negUnitSimplification,[status(thm)],[c_20,c_460]) ).
tff(c_491,plain,
( equalish(e_1,e_3)
| product1(e_1,e_3,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_224,c_482]) ).
tff(c_494,plain,
( equalish(e_1,e_3)
| product1(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_491]) ).
tff(c_495,plain,
product1(e_1,e_3,e_1),
inference(negUnitSimplification,[status(thm)],[c_14,c_494]) ).
tff(c_30,plain,
! [W_15,Z_18,Y_16,X_17] :
( equalish(W_15,Z_18)
| ~ product1(Z_18,Y_16,X_17)
| ~ product1(W_15,Y_16,X_17) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_399,plain,
! [W_15] :
( equalish(W_15,e_2)
| ~ product1(W_15,e_3,e_1) ),
inference(resolution,[status(thm)],[c_380,c_30]) ).
tff(c_504,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_495,c_399]) ).
tff(c_519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : GRP123-9.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n001.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 22:28:11 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.37/2.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.37/2.11
% 4.37/2.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.37/2.16
% 4.37/2.16 Inference rules
% 4.37/2.16 ----------------------
% 4.37/2.16 #Ref : 0
% 4.37/2.16 #Sup : 97
% 4.37/2.16 #Fact : 0
% 4.37/2.16 #Define : 0
% 4.37/2.16 #Split : 0
% 4.37/2.16 #Chain : 0
% 4.37/2.16 #Close : 0
% 4.37/2.16
% 4.37/2.16 Ordering : KBO
% 4.37/2.16
% 4.37/2.16 Simplification rules
% 4.37/2.16 ----------------------
% 4.37/2.16 #Subsume : 5
% 4.37/2.16 #Demod : 52
% 4.37/2.16 #Tautology : 26
% 4.37/2.16 #SimpNegUnit : 19
% 4.37/2.16 #BackRed : 0
% 4.37/2.16
% 4.37/2.16 #Partial instantiations: 0
% 4.37/2.16 #Strategies tried : 1
% 4.37/2.16
% 4.37/2.16 Timing (in seconds)
% 4.37/2.16 ----------------------
% 4.37/2.16 Preprocessing : 0.47
% 4.37/2.16 Parsing : 0.26
% 4.37/2.16 CNF conversion : 0.03
% 4.37/2.16 Main loop : 0.58
% 4.37/2.16 Inferencing : 0.25
% 4.37/2.16 Reduction : 0.13
% 4.37/2.16 Demodulation : 0.09
% 4.37/2.16 BG Simplification : 0.03
% 4.37/2.16 Subsumption : 0.14
% 4.37/2.16 Abstraction : 0.02
% 4.37/2.16 MUC search : 0.00
% 4.37/2.16 Cooper : 0.00
% 4.37/2.16 Total : 1.12
% 4.37/2.17 Index Insertion : 0.00
% 4.37/2.17 Index Deletion : 0.00
% 4.37/2.17 Index Matching : 0.00
% 4.37/2.17 BG Taut test : 0.00
%------------------------------------------------------------------------------