TSTP Solution File: GRP495-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP495-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : 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 10:41:22 EDT 2023
% Result : Unsatisfiable 6.56s 2.87s
% Output : CNFRefutation 6.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 62 unt; 7 typ; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 111 (; 111 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(identity,type,
identity: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = B ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_28,plain,
! [B_10,A_11] : ( double_divide(double_divide(B_10,A_11),identity) = multiply(A_11,B_10) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_37,plain,
! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(identity,A_1),double_divide(double_divide(double_divide(B_2,C_3),double_divide(identity,identity)),double_divide(A_1,C_3))) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_236,plain,
! [A_21,B_22,C_23] : ( double_divide(double_divide(identity,A_21),double_divide(double_divide(double_divide(B_22,C_23),inverse(identity)),double_divide(A_21,C_23))) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_304,plain,
! [A_21,A_7] : ( double_divide(double_divide(identity,A_21),double_divide(double_divide(identity,inverse(identity)),double_divide(A_21,inverse(A_7)))) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_460,plain,
! [A_29,A_30] : ( double_divide(double_divide(identity,A_29),double_divide(identity,double_divide(A_29,inverse(A_30)))) = A_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_304]) ).
tff(c_504,plain,
! [A_7] : ( double_divide(double_divide(identity,A_7),double_divide(identity,identity)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_460]) ).
tff(c_509,plain,
! [A_31] : ( double_divide(double_divide(identity,A_31),inverse(identity)) = A_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_504]) ).
tff(c_550,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(superposition,[status(thm),theory(equality)],[c_8,c_509]) ).
tff(c_554,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_550]) ).
tff(c_508,plain,
! [A_7] : ( double_divide(double_divide(identity,A_7),inverse(identity)) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_504]) ).
tff(c_651,plain,
! [A_33] : ( double_divide(double_divide(identity,A_33),identity) = A_33 ),
inference(demodulation,[status(thm),theory(equality)],[c_554,c_508]) ).
tff(c_4,plain,
! [B_5,A_4] : ( double_divide(double_divide(B_5,A_4),identity) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_669,plain,
! [A_33] : ( multiply(A_33,identity) = A_33 ),
inference(superposition,[status(thm),theory(equality)],[c_651,c_4]) ).
tff(c_790,plain,
! [A_37] : ( inverse(double_divide(identity,A_37)) = A_37 ),
inference(superposition,[status(thm),theory(equality)],[c_651,c_6]) ).
tff(c_851,plain,
! [A_38] : ( double_divide(double_divide(identity,A_38),A_38) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_790,c_8]) ).
tff(c_321,plain,
! [A_21,A_7] : ( double_divide(double_divide(identity,A_21),double_divide(identity,double_divide(A_21,inverse(A_7)))) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_304]) ).
tff(c_861,plain,
! [A_7] : ( double_divide(double_divide(identity,double_divide(identity,inverse(A_7))),double_divide(identity,identity)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_851,c_321]) ).
tff(c_909,plain,
! [A_7] : ( double_divide(identity,inverse(A_7)) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_669,c_37,c_6,c_554,c_6,c_861]) ).
tff(c_579,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_554,c_8]) ).
tff(c_65,plain,
! [B_13,A_14] : ( inverse(double_divide(B_13,A_14)) = multiply(A_14,B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_83,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_297,plain,
! [A_6,B_22] : ( double_divide(double_divide(identity,A_6),double_divide(double_divide(double_divide(B_22,identity),inverse(identity)),inverse(A_6))) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_320,plain,
! [A_6,B_22] : ( double_divide(double_divide(identity,A_6),double_divide(double_divide(inverse(B_22),inverse(identity)),inverse(A_6))) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_297]) ).
tff(c_1047,plain,
! [A_41,B_42] : ( double_divide(double_divide(identity,A_41),double_divide(multiply(identity,B_42),inverse(A_41))) = B_42 ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_554,c_320]) ).
tff(c_1082,plain,
! [B_42] : ( double_divide(identity,double_divide(multiply(identity,B_42),inverse(identity))) = B_42 ),
inference(superposition,[status(thm),theory(equality)],[c_579,c_1047]) ).
tff(c_1116,plain,
! [B_42] : ( multiply(identity,B_42) = B_42 ),
inference(demodulation,[status(thm),theory(equality)],[c_909,c_6,c_554,c_1082]) ).
tff(c_1126,plain,
! [A_6] : ( inverse(inverse(A_6)) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_1116,c_83]) ).
tff(c_294,plain,
! [A_21,A_6] : ( double_divide(double_divide(identity,A_21),double_divide(double_divide(inverse(A_6),inverse(identity)),double_divide(A_21,identity))) = A_6 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_319,plain,
! [A_21,A_6] : ( double_divide(double_divide(identity,A_21),double_divide(double_divide(inverse(A_6),inverse(identity)),inverse(A_21))) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_294]) ).
tff(c_1310,plain,
! [A_47,A_48] : ( double_divide(double_divide(identity,A_47),double_divide(A_48,inverse(A_47))) = A_48 ),
inference(demodulation,[status(thm),theory(equality)],[c_1126,c_6,c_554,c_319]) ).
tff(c_1335,plain,
! [A_7,A_48] : ( double_divide(A_7,double_divide(A_48,inverse(inverse(A_7)))) = A_48 ),
inference(superposition,[status(thm),theory(equality)],[c_909,c_1310]) ).
tff(c_1374,plain,
! [A_7,A_48] : ( double_divide(A_7,double_divide(A_48,A_7)) = A_48 ),
inference(demodulation,[status(thm),theory(equality)],[c_1126,c_1335]) ).
tff(c_1536,plain,
! [A_53,A_54] : ( double_divide(A_53,double_divide(A_54,A_53)) = A_54 ),
inference(demodulation,[status(thm),theory(equality)],[c_1126,c_1335]) ).
tff(c_1558,plain,
! [A_48,A_7] : ( double_divide(double_divide(A_48,A_7),A_48) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_1374,c_1536]) ).
tff(c_1164,plain,
! [A_44] : ( inverse(inverse(A_44)) = A_44 ),
inference(demodulation,[status(thm),theory(equality)],[c_1116,c_83]) ).
tff(c_1173,plain,
! [A_44] : ( double_divide(identity,A_44) = inverse(A_44) ),
inference(superposition,[status(thm),theory(equality)],[c_1164,c_909]) ).
tff(c_284,plain,
! [A_21,A_4,B_5] : ( double_divide(double_divide(identity,A_21),double_divide(double_divide(multiply(A_4,B_5),inverse(identity)),double_divide(A_21,identity))) = double_divide(B_5,A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_236]) ).
tff(c_317,plain,
! [A_21,A_4,B_5] : ( double_divide(double_divide(identity,A_21),double_divide(double_divide(multiply(A_4,B_5),inverse(identity)),inverse(A_21))) = double_divide(B_5,A_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_284]) ).
tff(c_1859,plain,
! [A_4,B_5] : ( inverse(multiply(A_4,B_5)) = double_divide(B_5,A_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_1173,c_6,c_554,c_317]) ).
tff(c_11,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(identity,A_1),double_divide(double_divide(double_divide(B_2,C_3),inverse(identity)),double_divide(A_1,C_3))) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_260,plain,
! [A_1,B_22,B_2,C_3] : ( double_divide(double_divide(identity,double_divide(identity,A_1)),double_divide(double_divide(double_divide(B_22,double_divide(double_divide(double_divide(B_2,C_3),inverse(identity)),double_divide(A_1,C_3))),inverse(identity)),B_2)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_236]) ).
tff(c_2702,plain,
! [A_1,C_3,B_2,B_22] : ( double_divide(A_1,double_divide(multiply(double_divide(multiply(C_3,B_2),double_divide(A_1,C_3)),B_22),B_2)) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_909,c_1173,c_37,c_6,c_554,c_37,c_6,c_554,c_260]) ).
tff(c_558,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(identity,A_1),double_divide(double_divide(double_divide(B_2,C_3),identity),double_divide(A_1,C_3))) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_554,c_11]) ).
tff(c_560,plain,
! [A_1,C_3,B_2] : ( double_divide(double_divide(identity,A_1),double_divide(multiply(C_3,B_2),double_divide(A_1,C_3))) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_558]) ).
tff(c_8653,plain,
! [A_156,C_157,B_158] : ( double_divide(inverse(A_156),double_divide(multiply(C_157,B_158),double_divide(A_156,C_157))) = B_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_1173,c_560]) ).
tff(c_8833,plain,
! [C_3,B_2,B_158,B_22] : ( double_divide(inverse(multiply(double_divide(multiply(C_3,B_2),double_divide(multiply(B_2,B_158),C_3)),B_22)),B_22) = B_158 ),
inference(superposition,[status(thm),theory(equality)],[c_2702,c_8653]) ).
tff(c_8980,plain,
! [C_159,B_160,B_161] : ( double_divide(multiply(C_159,B_160),double_divide(multiply(B_160,B_161),C_159)) = B_161 ),
inference(demodulation,[status(thm),theory(equality)],[c_1558,c_1859,c_8833]) ).
tff(c_1658,plain,
! [A_57,A_58] : ( double_divide(double_divide(A_57,A_58),A_57) = A_58 ),
inference(superposition,[status(thm),theory(equality)],[c_1374,c_1536]) ).
tff(c_1676,plain,
! [A_57,A_58] : ( multiply(A_57,double_divide(A_57,A_58)) = double_divide(A_58,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1658,c_4]) ).
tff(c_1735,plain,
! [A_57,A_58] : ( multiply(A_57,double_divide(A_57,A_58)) = inverse(A_58) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1676]) ).
tff(c_9048,plain,
! [B_160,B_161,C_159] : ( inverse(double_divide(multiply(B_160,B_161),C_159)) = multiply(multiply(C_159,B_160),B_161) ),
inference(superposition,[status(thm),theory(equality)],[c_8980,c_1735]) ).
tff(c_9267,plain,
! [C_159,B_160,B_161] : ( multiply(multiply(C_159,B_160),B_161) = multiply(C_159,multiply(B_160,B_161)) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_9048]) ).
tff(c_10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_11748,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9267,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : GRP495-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.16 % 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
% 0.16/0.38 % Computer : n007.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Thu Aug 3 22:13:39 EDT 2023
% 0.16/0.38 % CPUTime :
% 6.56/2.87 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.56/2.88
% 6.56/2.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.56/2.91
% 6.56/2.91 Inference rules
% 6.56/2.91 ----------------------
% 6.56/2.91 #Ref : 0
% 6.56/2.91 #Sup : 2957
% 6.56/2.91 #Fact : 0
% 6.56/2.91 #Define : 0
% 6.56/2.91 #Split : 0
% 6.56/2.91 #Chain : 0
% 6.56/2.91 #Close : 0
% 6.56/2.91
% 6.56/2.91 Ordering : KBO
% 6.56/2.91
% 6.56/2.91 Simplification rules
% 6.56/2.91 ----------------------
% 6.56/2.91 #Subsume : 0
% 6.56/2.91 #Demod : 4383
% 6.56/2.91 #Tautology : 1776
% 6.56/2.91 #SimpNegUnit : 0
% 6.56/2.91 #BackRed : 38
% 6.56/2.91
% 6.56/2.91 #Partial instantiations: 0
% 6.56/2.91 #Strategies tried : 1
% 6.56/2.91
% 6.56/2.91 Timing (in seconds)
% 6.56/2.91 ----------------------
% 6.56/2.91 Preprocessing : 0.42
% 6.56/2.91 Parsing : 0.22
% 6.56/2.91 CNF conversion : 0.02
% 6.56/2.91 Main loop : 1.39
% 6.56/2.91 Inferencing : 0.49
% 6.56/2.91 Reduction : 0.58
% 6.56/2.91 Demodulation : 0.48
% 6.56/2.91 BG Simplification : 0.06
% 6.56/2.91 Subsumption : 0.18
% 6.56/2.92 Abstraction : 0.09
% 6.56/2.92 MUC search : 0.00
% 6.56/2.92 Cooper : 0.00
% 6.56/2.92 Total : 1.87
% 6.56/2.92 Index Insertion : 0.00
% 6.56/2.92 Index Deletion : 0.00
% 6.56/2.92 Index Matching : 0.00
% 6.56/2.92 BG Taut test : 0.00
%------------------------------------------------------------------------------