TSTP Solution File: GRP128-4.003 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP128-4.003 : 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 : n017.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 10:40:11 EDT 2023
% Result : Unsatisfiable 7.14s 2.65s
% Output : CNFRefutation 7.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 102 ( 49 unt; 6 typ; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 177 ( 78 ~; 99 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 72 (; 72 !; 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_80,axiom,
~ equalish(e_2,e_3),
file(unknown,unknown) ).
tff(f_71,axiom,
group_element(e_2),
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_84,axiom,
~ equalish(e_3,e_2),
file(unknown,unknown) ).
tff(f_96,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3) ),
file(unknown,unknown) ).
tff(f_128,axiom,
! [X,Y,Z1,Z2] :
( ~ product(X,Y,Z1)
| ~ product(Z1,Y,Z2)
| product(X,Z1,Z2) ),
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_76,axiom,
~ equalish(e_1,e_3),
file(unknown,unknown) ).
tff(f_70,axiom,
group_element(e_1),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X,Y,Z1,Z2] :
( product(X,Y,Z1)
| ~ product(X,Z1,Z2)
| ~ product(Z1,Y,Z2) ),
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_69,axiom,
! [Z1,Y,Z2,X] :
( product(Z1,Y,Z2)
| ~ product(X,Z1,Z2)
| ~ product(X,Y,Z1) ),
file(unknown,unknown) ).
tff(f_78,axiom,
~ equalish(e_2,e_1),
file(unknown,unknown) ).
tff(c_22,plain,
~ equalish(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_12,plain,
group_element(e_2),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_14,plain,
group_element(e_3),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( product(e_3,X_1,Y_2)
| product(e_2,X_1,Y_2)
| product(e_1,X_1,Y_2)
| ~ group_element(Y_2)
| ~ group_element(X_1) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_26,plain,
~ equalish(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_81,plain,
! [X_59,Y_60] :
( product(X_59,Y_60,e_3)
| product(X_59,Y_60,e_2)
| product(X_59,Y_60,e_1)
| ~ group_element(Y_60)
| ~ group_element(X_59) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_36,plain,
! [X_27,Z1_29,Z2_30,Y_28] :
( product(X_27,Z1_29,Z2_30)
| ~ product(Z1_29,Y_28,Z2_30)
| ~ product(X_27,Y_28,Z1_29) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_349,plain,
! [X_109,X_110,Y_111] :
( product(X_109,X_110,e_3)
| ~ product(X_109,Y_111,X_110)
| product(X_110,Y_111,e_2)
| product(X_110,Y_111,e_1)
| ~ group_element(Y_111)
| ~ group_element(X_110) ),
inference(resolution,[status(thm)],[c_81,c_36]) ).
tff(c_362,plain,
! [Y_2,X_1] :
( product(e_3,Y_2,e_3)
| product(Y_2,X_1,e_2)
| product(Y_2,X_1,e_1)
| product(e_2,X_1,Y_2)
| product(e_1,X_1,Y_2)
| ~ group_element(Y_2)
| ~ group_element(X_1) ),
inference(resolution,[status(thm)],[c_2,c_349]) ).
tff(c_549,plain,
! [X_1] :
( product(e_3,e_2,e_3)
| product(e_2,X_1,e_1)
| product(e_1,X_1,e_2)
| ~ group_element(e_2)
| ~ group_element(X_1)
| product(e_2,X_1,e_2) ),
inference(factorization,[status(thm),theory(equality)],[c_362]) ).
tff(c_552,plain,
! [X_1] :
( product(e_3,e_2,e_3)
| product(e_2,X_1,e_1)
| product(e_1,X_1,e_2)
| ~ group_element(X_1)
| product(e_2,X_1,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_549]) ).
tff(c_805,plain,
product(e_3,e_2,e_3),
inference(splitLeft,[status(thm)],[c_552]) ).
tff(c_1233,plain,
! [X_125] :
( product(X_125,e_3,e_3)
| ~ product(X_125,e_2,e_3) ),
inference(resolution,[status(thm)],[c_805,c_36]) ).
tff(c_32,plain,
! [W_20,Z_22,X_19,Y_21] :
( equalish(W_20,Z_22)
| ~ product(X_19,Z_22,Y_21)
| ~ product(X_19,W_20,Y_21) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_889,plain,
! [W_20] :
( equalish(W_20,e_2)
| ~ product(e_3,W_20,e_3) ),
inference(resolution,[status(thm)],[c_805,c_32]) ).
tff(c_1241,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1233,c_889]) ).
tff(c_1298,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_805,c_1241]) ).
tff(c_1300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_1298]) ).
tff(c_1302,plain,
~ product(e_3,e_2,e_3),
inference(splitRight,[status(thm)],[c_552]) ).
tff(c_1579,plain,
( product(e_2,e_2,e_3)
| product(e_1,e_2,e_3)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_2,c_1302]) ).
tff(c_1591,plain,
( product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_1579]) ).
tff(c_2062,plain,
product(e_1,e_2,e_3),
inference(splitLeft,[status(thm)],[c_1591]) ).
tff(c_28,plain,
! [X_13,Y_14] :
( product(X_13,Y_14,e_3)
| product(X_13,Y_14,e_2)
| product(X_13,Y_14,e_1)
| ~ group_element(Y_14)
| ~ group_element(X_13) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1576,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_28,c_1302]) ).
tff(c_1588,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_1576]) ).
tff(c_1592,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1588]) ).
tff(c_1654,plain,
! [X_27] :
( product(X_27,e_3,e_1)
| ~ product(X_27,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1592,c_36]) ).
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_6,plain,
! [Z1_7,Y_6,Z2_8,X_5] :
( ~ product(Z1_7,Y_6,Z2_8)
| ~ product(X_5,Z1_7,Z2_8)
| product(X_5,Y_6,Z1_7) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_2440,plain,
! [X_139] :
( ~ product(X_139,e_1,e_3)
| product(X_139,e_2,e_1) ),
inference(resolution,[status(thm)],[c_2062,c_6]) ).
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_2131,plain,
! [W_17] :
( equalish(W_17,e_3)
| ~ product(e_1,e_2,W_17) ),
inference(resolution,[status(thm)],[c_2062,c_30]) ).
tff(c_2444,plain,
( equalish(e_1,e_3)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[c_2440,c_2131]) ).
tff(c_2491,plain,
~ product(e_1,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_18,c_2444]) ).
tff(c_2534,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_28,c_2491]) ).
tff(c_2537,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_2534]) ).
tff(c_3651,plain,
product(e_1,e_1,e_1),
inference(splitLeft,[status(thm)],[c_2537]) ).
tff(c_3194,plain,
! [X_149] :
( ~ product(X_149,e_3,e_1)
| product(X_149,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1592,c_6]) ).
tff(c_3217,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_2,c_3194]) ).
tff(c_3228,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_10,c_3217]) ).
tff(c_3229,plain,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1302,c_3228]) ).
tff(c_3231,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_3229]) ).
tff(c_3319,plain,
! [W_20] :
( equalish(W_20,e_3)
| ~ product(e_1,W_20,e_1) ),
inference(resolution,[status(thm)],[c_3231,c_32]) ).
tff(c_3654,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_3651,c_3319]) ).
tff(c_3682,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_3654]) ).
tff(c_3684,plain,
~ product(e_1,e_1,e_1),
inference(splitRight,[status(thm)],[c_2537]) ).
tff(c_3685,plain,
! [X_154] :
( product(X_154,e_1,e_1)
| ~ product(X_154,e_3,e_1) ),
inference(resolution,[status(thm)],[c_3231,c_36]) ).
tff(c_3692,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c_3231,c_3685]) ).
tff(c_3722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3684,c_3692]) ).
tff(c_3724,plain,
~ product(e_1,e_3,e_1),
inference(splitRight,[status(thm)],[c_3229]) ).
tff(c_3727,plain,
~ product(e_1,e_2,e_3),
inference(resolution,[status(thm)],[c_1654,c_3724]) ).
tff(c_3734,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2062,c_3727]) ).
tff(c_3735,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_1591]) ).
tff(c_4147,plain,
! [X_160] :
( ~ product(X_160,e_2,e_3)
| product(X_160,e_2,e_2) ),
inference(resolution,[status(thm)],[c_3735,c_6]) ).
tff(c_4187,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_3735,c_4147]) ).
tff(c_3805,plain,
! [W_17] :
( equalish(W_17,e_3)
| ~ product(e_2,e_2,W_17) ),
inference(resolution,[status(thm)],[c_3735,c_30]) ).
tff(c_4207,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_4187,c_3805]) ).
tff(c_4235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_4207]) ).
tff(c_4236,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_1588]) ).
tff(c_8,plain,
! [X_12,Y_10,Z1_9,Z2_11] :
( ~ product(X_12,Y_10,Z1_9)
| ~ product(X_12,Z1_9,Z2_11)
| product(Z1_9,Y_10,Z2_11) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_6343,plain,
! [Z2_185] :
( ~ product(e_3,e_2,Z2_185)
| product(e_2,e_2,Z2_185) ),
inference(resolution,[status(thm)],[c_4236,c_8]) ).
tff(c_6381,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_4236,c_6343]) ).
tff(c_20,plain,
~ equalish(e_2,e_1),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_5681,plain,
! [Z2_178] :
( ~ product(e_3,e_2,Z2_178)
| product(e_2,e_2,Z2_178) ),
inference(resolution,[status(thm)],[c_4236,c_8]) ).
tff(c_5719,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_4236,c_5681]) ).
tff(c_4237,plain,
~ product(e_3,e_2,e_1),
inference(splitRight,[status(thm)],[c_1588]) ).
tff(c_4601,plain,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_2,c_4237]) ).
tff(c_4610,plain,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4601]) ).
tff(c_5226,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_4610]) ).
tff(c_4938,plain,
product(e_1,e_2,e_3),
inference(splitLeft,[status(thm)],[c_1591]) ).
tff(c_5008,plain,
! [W_17] :
( equalish(W_17,e_3)
| ~ product(e_1,e_2,W_17) ),
inference(resolution,[status(thm)],[c_4938,c_30]) ).
tff(c_5417,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_5226,c_5008]) ).
tff(c_5445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_5417]) ).
tff(c_5446,plain,
product(e_2,e_2,e_1),
inference(splitRight,[status(thm)],[c_4610]) ).
tff(c_5497,plain,
! [W_17] :
( equalish(W_17,e_1)
| ~ product(e_2,e_2,W_17) ),
inference(resolution,[status(thm)],[c_5446,c_30]) ).
tff(c_5994,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_5719,c_5497]) ).
tff(c_6025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_5994]) ).
tff(c_6026,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_1591]) ).
tff(c_6097,plain,
! [W_17] :
( equalish(W_17,e_3)
| ~ product(e_2,e_2,W_17) ),
inference(resolution,[status(thm)],[c_6026,c_30]) ).
tff(c_6401,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_6381,c_6097]) ).
tff(c_6432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_6401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP128-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % 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
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 21:53:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 7.14/2.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.14/2.66
% 7.14/2.66 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.33/2.71
% 7.33/2.71 Inference rules
% 7.33/2.71 ----------------------
% 7.33/2.71 #Ref : 0
% 7.33/2.71 #Sup : 1241
% 7.33/2.71 #Fact : 6
% 7.33/2.71 #Define : 0
% 7.33/2.71 #Split : 8
% 7.33/2.71 #Chain : 0
% 7.33/2.71 #Close : 0
% 7.33/2.71
% 7.33/2.71 Ordering : KBO
% 7.33/2.71
% 7.33/2.71 Simplification rules
% 7.33/2.71 ----------------------
% 7.33/2.71 #Subsume : 56
% 7.33/2.71 #Demod : 1113
% 7.33/2.71 #Tautology : 218
% 7.33/2.71 #SimpNegUnit : 159
% 7.33/2.71 #BackRed : 0
% 7.33/2.71
% 7.33/2.71 #Partial instantiations: 0
% 7.33/2.71 #Strategies tried : 1
% 7.33/2.71
% 7.33/2.71 Timing (in seconds)
% 7.33/2.71 ----------------------
% 7.33/2.71 Preprocessing : 0.44
% 7.33/2.71 Parsing : 0.24
% 7.33/2.71 CNF conversion : 0.02
% 7.33/2.71 Main loop : 1.20
% 7.33/2.71 Inferencing : 0.38
% 7.33/2.71 Reduction : 0.31
% 7.33/2.71 Demodulation : 0.19
% 7.33/2.71 BG Simplification : 0.05
% 7.33/2.71 Subsumption : 0.40
% 7.33/2.71 Abstraction : 0.04
% 7.33/2.71 MUC search : 0.00
% 7.33/2.71 Cooper : 0.00
% 7.33/2.71 Total : 1.72
% 7.33/2.71 Index Insertion : 0.00
% 7.33/2.71 Index Deletion : 0.00
% 7.33/2.71 Index Matching : 0.00
% 7.33/2.71 BG Taut test : 0.00
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