TSTP Solution File: GRP123-3.003 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% 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 : n007.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 10:39:54 EDT 2023
% Result : Unsatisfiable 4.63s 2.23s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 53 ( 21 unt; 10 typ; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 47 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 52 (; 52 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > next > greater > equalish > cycle > group_element > #nlpp > e_3 > e_2 > e_1 > e_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(group_element,type,
group_element: $i > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(cycle,type,
cycle: ( $i * $i ) > $o ).
tff(e_2,type,
e_2: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(next,type,
next: ( $i * $i ) > $o ).
tff(e_0,type,
e_0: $i ).
tff(e_3,type,
e_3: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(e_1,type,
e_1: $i ).
tff(f_125,axiom,
~ equalish(e_1,e_2),
file(unknown,unknown) ).
tff(f_127,axiom,
~ equalish(e_1,e_3),
file(unknown,unknown) ).
tff(f_121,axiom,
group_element(e_1),
file(unknown,unknown) ).
tff(f_123,axiom,
group_element(e_3),
file(unknown,unknown) ).
tff(f_147,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_173,axiom,
! [X] : product(X,X,X),
file(unknown,unknown) ).
tff(f_171,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_135,axiom,
~ equalish(e_3,e_2),
file(unknown,unknown) ).
tff(f_131,axiom,
~ equalish(e_2,e_3),
file(unknown,unknown) ).
tff(f_122,axiom,
group_element(e_2),
file(unknown,unknown) ).
tff(f_163,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_201,axiom,
! [Y1,X1,Z2,Y2,X2,Z1] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1)
| ~ product(Z2,Y1,X1)
| ~ product(Z2,Y2,X2)
| equalish(Y1,Y2) ),
file(unknown,unknown) ).
tff(c_40,plain,
~ equalish(e_1,e_2),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_42,plain,
~ equalish(e_1,e_3),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_34,plain,
group_element(e_1),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_38,plain,
group_element(e_3),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_258,plain,
! [X_111,Y_112] :
( product(X_111,Y_112,e_3)
| product(X_111,Y_112,e_2)
| product(X_111,Y_112,e_1)
| ~ group_element(Y_112)
| ~ group_element(X_111) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_60,plain,
! [X_35] : product(X_35,X_35,X_35),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_220,plain,
! [W_90,Z_91,Y_92,X_93] :
( equalish(W_90,Z_91)
| ~ product(Z_91,Y_92,X_93)
| ~ product(W_90,Y_92,X_93) ),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_223,plain,
! [W_90,X_35] :
( equalish(W_90,X_35)
| ~ product(W_90,X_35,X_35) ),
inference(resolution,[status(thm)],[c_60,c_220]) ).
tff(c_274,plain,
! [X_111] :
( equalish(X_111,e_3)
| product(X_111,e_3,e_2)
| product(X_111,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X_111) ),
inference(resolution,[status(thm)],[c_258,c_223]) ).
tff(c_289,plain,
! [X_111] :
( equalish(X_111,e_3)
| product(X_111,e_3,e_2)
| product(X_111,e_3,e_1)
| ~ group_element(X_111) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_274]) ).
tff(c_50,plain,
~ equalish(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_46,plain,
~ equalish(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_36,plain,
group_element(e_2),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_524,plain,
! [X_149] :
( equalish(X_149,e_3)
| product(X_149,e_3,e_2)
| product(X_149,e_3,e_1)
| ~ group_element(X_149) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_274]) ).
tff(c_248,plain,
! [W_105,Z_106,X_107,Y_108] :
( equalish(W_105,Z_106)
| ~ product(X_107,Z_106,Y_108)
| ~ product(X_107,W_105,Y_108) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_251,plain,
! [W_105,X_35] :
( equalish(W_105,X_35)
| ~ product(X_35,W_105,X_35) ),
inference(resolution,[status(thm)],[c_60,c_248]) ).
tff(c_532,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_3)
| product(e_2,e_3,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_524,c_251]) ).
tff(c_547,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_532]) ).
tff(c_548,plain,
product(e_2,e_3,e_1),
inference(negUnitSimplification,[status(thm)],[c_46,c_50,c_547]) ).
tff(c_469,plain,
! [Y2_140,Z1_142,Z2_145,Y1_141,X1_144,X2_143] :
( equalish(Y1_141,Y2_140)
| ~ product(Z2_145,Y2_140,X2_143)
| ~ product(Z2_145,Y1_141,X1_144)
| ~ product(X2_143,Y2_140,Z1_142)
| ~ product(X1_144,Y1_141,Z1_142) ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_812,plain,
! [Y1_166,X_167,X1_168,Z1_169] :
( equalish(Y1_166,X_167)
| ~ product(X_167,Y1_166,X1_168)
| ~ product(X_167,X_167,Z1_169)
| ~ product(X1_168,Y1_166,Z1_169) ),
inference(resolution,[status(thm)],[c_60,c_469]) ).
tff(c_818,plain,
! [Z1_169] :
( equalish(e_3,e_2)
| ~ product(e_2,e_2,Z1_169)
| ~ product(e_1,e_3,Z1_169) ),
inference(resolution,[status(thm)],[c_548,c_812]) ).
tff(c_844,plain,
! [Z1_170] :
( ~ product(e_2,e_2,Z1_170)
| ~ product(e_1,e_3,Z1_170) ),
inference(negUnitSimplification,[status(thm)],[c_50,c_818]) ).
tff(c_872,plain,
~ product(e_1,e_3,e_2),
inference(resolution,[status(thm)],[c_60,c_844]) ).
tff(c_875,plain,
( equalish(e_1,e_3)
| product(e_1,e_3,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_289,c_872]) ).
tff(c_878,plain,
( equalish(e_1,e_3)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_875]) ).
tff(c_879,plain,
product(e_1,e_3,e_1),
inference(negUnitSimplification,[status(thm)],[c_42,c_878]) ).
tff(c_58,plain,
! [W_31,Z_34,Y_32,X_33] :
( equalish(W_31,Z_34)
| ~ product(Z_34,Y_32,X_33)
| ~ product(W_31,Y_32,X_33) ),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_570,plain,
! [W_31] :
( equalish(W_31,e_2)
| ~ product(W_31,e_3,e_1) ),
inference(resolution,[status(thm)],[c_548,c_58]) ).
tff(c_884,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_879,c_570]) ).
tff(c_904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_884]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.15 % 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
% 0.14/0.37 % Computer : n007.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 21:52:54 EDT 2023
% 0.14/0.37 % CPUTime :
% 4.63/2.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.63/2.24
% 4.63/2.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.63/2.27
% 4.63/2.27 Inference rules
% 4.63/2.27 ----------------------
% 4.63/2.27 #Ref : 0
% 4.63/2.27 #Sup : 173
% 4.63/2.27 #Fact : 0
% 4.63/2.27 #Define : 0
% 4.63/2.27 #Split : 7
% 4.63/2.27 #Chain : 0
% 4.63/2.27 #Close : 0
% 4.63/2.27
% 4.63/2.27 Ordering : KBO
% 4.63/2.27
% 4.63/2.27 Simplification rules
% 4.63/2.27 ----------------------
% 4.63/2.27 #Subsume : 13
% 4.63/2.27 #Demod : 92
% 4.63/2.27 #Tautology : 41
% 4.63/2.27 #SimpNegUnit : 38
% 4.63/2.27 #BackRed : 0
% 4.63/2.27
% 4.63/2.27 #Partial instantiations: 0
% 4.63/2.27 #Strategies tried : 1
% 4.63/2.27
% 4.63/2.27 Timing (in seconds)
% 4.63/2.27 ----------------------
% 4.63/2.28 Preprocessing : 0.52
% 4.63/2.28 Parsing : 0.27
% 4.63/2.28 CNF conversion : 0.03
% 4.63/2.28 Main loop : 0.64
% 4.63/2.28 Inferencing : 0.22
% 4.63/2.28 Reduction : 0.16
% 4.63/2.28 Demodulation : 0.11
% 4.63/2.28 BG Simplification : 0.03
% 4.63/2.28 Subsumption : 0.17
% 4.63/2.28 Abstraction : 0.02
% 4.63/2.28 MUC search : 0.00
% 4.63/2.28 Cooper : 0.00
% 4.63/2.28 Total : 1.23
% 4.63/2.28 Index Insertion : 0.00
% 4.63/2.28 Index Deletion : 0.00
% 4.63/2.28 Index Matching : 0.00
% 4.63/2.28 BG Taut test : 0.00
%------------------------------------------------------------------------------