TSTP Solution File: GRP466-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP466-1 : 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 : n010.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 10:41:18 EDT 2023
% Result : Unsatisfiable 3.10s 2.04s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 17 unt; 5 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 41 (; 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > b1 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b1,type,
b1: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = divide(A,inverse(B)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C,D] : ( divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file(unknown,unknown) ).
tff(c_4,plain,
! [A_5,B_6] : ( divide(A_5,inverse(B_6)) = multiply(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( divide(divide(A_1,A_1),divide(B_2,divide(divide(C_3,divide(D_4,B_2)),inverse(D_4)))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [A_9,B_10,C_11,D_12] : ( divide(divide(A_9,A_9),divide(B_10,multiply(divide(C_11,divide(D_12,B_10)),D_12))) = C_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_7,plain,
! [A_1,B_2,C_3,D_4] : ( divide(divide(A_1,A_1),divide(B_2,multiply(divide(C_3,divide(D_4,B_2)),D_4))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_106,plain,
! [A_24,A_25,C_22,D_23,B_21] : ( divide(divide(A_24,A_24),divide(multiply(divide(C_22,divide(D_23,B_21)),D_23),multiply(C_22,B_21))) = divide(A_25,A_25) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_23,plain,
! [C_11,A_1,B_10,D_12,A_9] : ( divide(divide(A_1,A_1),divide(multiply(divide(C_11,divide(D_12,B_10)),D_12),multiply(C_11,B_10))) = divide(A_9,A_9) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_212,plain,
! [A_27,A_26] : ( divide(A_27,A_27) = divide(A_26,A_26) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_23]) ).
tff(c_290,plain,
! [B_6,A_27] : ( multiply(inverse(B_6),B_6) = divide(A_27,A_27) ),
inference(superposition,[status(thm),theory(equality)],[c_212,c_4]) ).
tff(c_319,plain,
! [B_28,A_29] : ( multiply(inverse(B_28),B_28) = divide(A_29,A_29) ),
inference(superposition,[status(thm),theory(equality)],[c_212,c_4]) ).
tff(c_6,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_391,plain,
! [A_30] : ( multiply(inverse(a1),a1) != divide(A_30,A_30) ),
inference(superposition,[status(thm),theory(equality)],[c_319,c_6]) ).
tff(c_395,plain,
! [A_30,A_27] : ( divide(A_30,A_30) != divide(A_27,A_27) ),
inference(superposition,[status(thm),theory(equality)],[c_290,c_391]) ).
tff(c_125,plain,
! [A_9,A_25] : ( divide(A_9,A_9) = divide(A_25,A_25) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_23]) ).
tff(c_407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395,c_125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP466-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % 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
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:10:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.10/2.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.10/2.04
% 3.10/2.04 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.10/2.07
% 3.10/2.07 Inference rules
% 3.10/2.07 ----------------------
% 3.10/2.07 #Ref : 0
% 3.10/2.07 #Sup : 131
% 3.10/2.07 #Fact : 0
% 3.10/2.07 #Define : 0
% 3.10/2.07 #Split : 0
% 3.10/2.07 #Chain : 0
% 3.10/2.07 #Close : 0
% 3.10/2.07
% 3.10/2.07 Ordering : KBO
% 3.10/2.07
% 3.10/2.07 Simplification rules
% 3.10/2.07 ----------------------
% 3.10/2.07 #Subsume : 26
% 3.10/2.07 #Demod : 7
% 3.10/2.07 #Tautology : 14
% 3.10/2.07 #SimpNegUnit : 1
% 3.10/2.07 #BackRed : 1
% 3.10/2.07
% 3.10/2.07 #Partial instantiations: 0
% 3.10/2.07 #Strategies tried : 1
% 3.10/2.07
% 3.10/2.07 Timing (in seconds)
% 3.10/2.07 ----------------------
% 3.10/2.07 Preprocessing : 0.52
% 3.10/2.07 Parsing : 0.27
% 3.10/2.07 CNF conversion : 0.02
% 3.10/2.07 Main loop : 0.44
% 3.10/2.07 Inferencing : 0.19
% 3.10/2.07 Reduction : 0.12
% 3.10/2.07 Demodulation : 0.09
% 3.10/2.07 BG Simplification : 0.03
% 3.10/2.07 Subsumption : 0.08
% 3.10/2.07 Abstraction : 0.03
% 3.10/2.07 MUC search : 0.00
% 3.10/2.07 Cooper : 0.00
% 3.10/2.07 Total : 1.01
% 3.10/2.07 Index Insertion : 0.00
% 3.10/2.07 Index Deletion : 0.00
% 3.10/2.07 Index Matching : 0.00
% 3.10/2.07 BG Taut test : 0.00
%------------------------------------------------------------------------------