TSTP Solution File: GRP550-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP550-1 : 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/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 : n029.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 10:41:29 EDT 2023
% Result : Unsatisfiable 2.90s 1.74s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 31 unt; 6 typ; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 38 (; 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > identity > b2 > a2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(a2,type,
a2: $i ).
tff(identity,type,
identity: $i ).
tff(f_29,axiom,
! [A] : ( identity = divide(A,A) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A] : ( inverse(A) = divide(identity,A) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = divide(A,divide(identity,B)) ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file(unknown,unknown) ).
tff(c_8,plain,
! [A_7] : ( divide(A_7,A_7) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_6,plain,
! [A_6] : ( divide(identity,A_6) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( divide(divide(identity,A_1),divide(divide(divide(B_2,A_1),C_3),B_2)) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_183,plain,
! [A_17,B_18,C_19] : ( divide(inverse(A_17),divide(divide(divide(B_18,A_17),C_19),B_18)) = C_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_297,plain,
! [A_23,C_24] : ( divide(inverse(A_23),divide(divide(inverse(A_23),C_24),identity)) = C_24 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_183]) ).
tff(c_329,plain,
! [A_23] : ( divide(inverse(A_23),divide(identity,identity)) = inverse(A_23) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_297]) ).
tff(c_336,plain,
! [A_23] : ( divide(inverse(A_23),identity) = inverse(A_23) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_329]) ).
tff(c_20,plain,
! [A_9] : ( divide(identity,A_9) = inverse(A_9) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_27,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20,c_8]) ).
tff(c_322,plain,
! [C_24] : ( divide(identity,divide(divide(inverse(identity),C_24),identity)) = C_24 ),
inference(superposition,[status(thm),theory(equality)],[c_27,c_297]) ).
tff(c_334,plain,
! [C_24] : ( inverse(divide(inverse(C_24),identity)) = C_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_27,c_322]) ).
tff(c_424,plain,
! [C_24] : ( inverse(inverse(C_24)) = C_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_336,c_334]) ).
tff(c_4,plain,
! [A_4,B_5] : ( divide(A_4,divide(identity,B_5)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_11,plain,
! [A_4,B_5] : ( divide(A_4,inverse(B_5)) = multiply(A_4,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_222,plain,
! [A_17,B_18] : ( divide(inverse(A_17),divide(identity,B_18)) = divide(B_18,A_17) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_183]) ).
tff(c_231,plain,
! [A_20,B_21] : ( multiply(inverse(A_20),B_21) = divide(B_21,A_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_6,c_222]) ).
tff(c_258,plain,
! [B_21] : ( multiply(identity,B_21) = divide(B_21,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_27,c_231]) ).
tff(c_42,plain,
! [A_10,B_11] : ( divide(A_10,inverse(B_11)) = multiply(A_10,B_11) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).
tff(c_63,plain,
! [B_11] : ( inverse(inverse(B_11)) = multiply(identity,B_11) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_42]) ).
tff(c_268,plain,
! [B_11] : ( inverse(inverse(B_11)) = divide(B_11,identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_63]) ).
tff(c_450,plain,
! [B_11] : ( divide(B_11,identity) = B_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_424,c_268]) ).
tff(c_53,plain,
! [B_11] : ( multiply(inverse(B_11),B_11) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_8]) ).
tff(c_10,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_70,plain,
multiply(identity,a2) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_53,c_10]) ).
tff(c_269,plain,
divide(a2,identity) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_258,c_70]) ).
tff(c_560,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_450,c_269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP550-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 22:24:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 2.90/1.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.90/1.75
% 2.90/1.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.10/1.77
% 3.10/1.77 Inference rules
% 3.10/1.77 ----------------------
% 3.10/1.77 #Ref : 0
% 3.10/1.77 #Sup : 137
% 3.10/1.77 #Fact : 0
% 3.10/1.77 #Define : 0
% 3.10/1.77 #Split : 0
% 3.10/1.77 #Chain : 0
% 3.10/1.77 #Close : 0
% 3.10/1.77
% 3.10/1.77 Ordering : KBO
% 3.10/1.77
% 3.10/1.77 Simplification rules
% 3.10/1.77 ----------------------
% 3.10/1.77 #Subsume : 0
% 3.10/1.77 #Demod : 104
% 3.10/1.77 #Tautology : 70
% 3.10/1.77 #SimpNegUnit : 0
% 3.10/1.77 #BackRed : 11
% 3.10/1.77
% 3.10/1.77 #Partial instantiations: 0
% 3.10/1.77 #Strategies tried : 1
% 3.10/1.77
% 3.10/1.77 Timing (in seconds)
% 3.10/1.77 ----------------------
% 3.10/1.78 Preprocessing : 0.40
% 3.10/1.78 Parsing : 0.21
% 3.10/1.78 CNF conversion : 0.02
% 3.10/1.78 Main loop : 0.33
% 3.10/1.78 Inferencing : 0.12
% 3.10/1.78 Reduction : 0.11
% 3.10/1.78 Demodulation : 0.08
% 3.10/1.78 BG Simplification : 0.02
% 3.10/1.78 Subsumption : 0.06
% 3.10/1.78 Abstraction : 0.02
% 3.10/1.78 MUC search : 0.00
% 3.10/1.78 Cooper : 0.00
% 3.10/1.78 Total : 0.77
% 3.10/1.78 Index Insertion : 0.00
% 3.10/1.78 Index Deletion : 0.00
% 3.10/1.78 Index Matching : 0.00
% 3.10/1.78 BG Taut test : 0.00
%------------------------------------------------------------------------------