TSTP Solution File: GRP514-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP514-1 : 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 : n031.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 10:41:25 EDT 2023
% Result : Unsatisfiable 3.64s 1.89s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 25 unt; 4 typ; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 57 (; 57 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > b2 > a2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(a2,type,
a2: $i ).
tff(f_23,axiom,
! [A,B,C] : ( multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B ),
file(unknown,unknown) ).
tff(f_25,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( multiply(A_1,multiply(multiply(B_2,C_3),inverse(multiply(A_1,C_3)))) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_5,plain,
! [A_4,B_5,C_6] : ( multiply(A_4,multiply(multiply(B_5,C_6),inverse(multiply(A_4,C_6)))) = B_5 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_26,plain,
! [A_7,B_8,C_9,A_10] : ( multiply(A_7,multiply(B_8,inverse(multiply(A_7,multiply(multiply(B_8,C_9),inverse(multiply(A_10,C_9))))))) = A_10 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_62,plain,
! [A_11,B_12] : ( multiply(A_11,multiply(B_12,inverse(B_12))) = A_11 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_26]) ).
tff(c_8,plain,
! [A_1,B_5,C_6,A_4] : ( multiply(A_1,multiply(B_5,inverse(multiply(A_1,multiply(multiply(B_5,C_6),inverse(multiply(A_4,C_6))))))) = A_4 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_75,plain,
! [A_11,B_5] : ( multiply(A_11,multiply(B_5,inverse(A_11))) = B_5 ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_8]) ).
tff(c_101,plain,
! [A_13,B_14] : ( multiply(A_13,multiply(B_14,inverse(A_13))) = B_14 ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_8]) ).
tff(c_118,plain,
! [A_4,C_6,B_5] : ( multiply(multiply(A_4,C_6),multiply(B_5,inverse(multiply(B_5,C_6)))) = A_4 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_8]) ).
tff(c_220,plain,
! [A_19,C_20,B_21] : ( multiply(multiply(A_19,C_20),multiply(B_21,inverse(multiply(B_21,C_20)))) = A_19 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_8]) ).
tff(c_497,plain,
! [A_28,C_29,B_30] : ( multiply(multiply(A_28,C_29),multiply(B_30,inverse(A_28))) = multiply(B_30,C_29) ),
inference(superposition,[status(thm),theory(equality)],[c_220,c_8]) ).
tff(c_136,plain,
! [A_15,B_16,B_17,C_18] : ( multiply(A_15,multiply(multiply(B_16,multiply(multiply(B_17,C_18),inverse(multiply(A_15,C_18)))),inverse(B_17))) = B_16 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_180,plain,
! [A_15,B_17,C_18] : ( multiply(A_15,multiply(multiply(B_17,C_18),inverse(B_17))) = multiply(A_15,C_18) ),
inference(superposition,[status(thm),theory(equality)],[c_75,c_136]) ).
tff(c_510,plain,
! [A_28,C_29,C_18] : ( multiply(multiply(A_28,C_29),C_18) = multiply(multiply(A_28,C_18),C_29) ),
inference(superposition,[status(thm),theory(equality)],[c_497,c_180]) ).
tff(c_124,plain,
! [A_13,B_2,B_14] : ( multiply(A_13,multiply(multiply(B_2,multiply(B_14,inverse(A_13))),inverse(B_14))) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_2]) ).
tff(c_882,plain,
! [A_34,B_35,B_36] : ( multiply(A_34,multiply(multiply(B_35,inverse(B_36)),multiply(B_36,inverse(A_34)))) = B_35 ),
inference(demodulation,[status(thm),theory(equality)],[c_510,c_124]) ).
tff(c_950,plain,
! [B_5,A_4] : ( multiply(multiply(B_5,inverse(B_5)),A_4) = A_4 ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_882]) ).
tff(c_975,plain,
! [B_37,A_38] : ( multiply(multiply(B_37,inverse(B_37)),A_38) = A_38 ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_882]) ).
tff(c_1001,plain,
! [B_37,C_18,A_38] : ( multiply(multiply(multiply(B_37,inverse(B_37)),C_18),A_38) = multiply(A_38,C_18) ),
inference(superposition,[status(thm),theory(equality)],[c_975,c_510]) ).
tff(c_1168,plain,
! [C_18,A_38] : ( multiply(C_18,A_38) = multiply(A_38,C_18) ),
inference(demodulation,[status(thm),theory(equality)],[c_950,c_1001]) ).
tff(c_4,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_614,plain,
multiply(multiply(inverse(b2),a2),b2) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_510,c_4]) ).
tff(c_1189,plain,
multiply(b2,multiply(a2,inverse(b2))) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_1168,c_1168,c_614]) ).
tff(c_1193,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75,c_1189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP514-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13 % 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
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 22:27:45 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.64/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/1.89
% 3.64/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.64/1.92
% 3.64/1.92 Inference rules
% 3.64/1.92 ----------------------
% 3.64/1.92 #Ref : 0
% 3.64/1.92 #Sup : 311
% 3.64/1.92 #Fact : 0
% 3.64/1.92 #Define : 0
% 3.64/1.92 #Split : 0
% 3.64/1.92 #Chain : 0
% 3.64/1.92 #Close : 0
% 3.64/1.92
% 3.64/1.92 Ordering : KBO
% 3.64/1.92
% 3.64/1.92 Simplification rules
% 3.64/1.92 ----------------------
% 3.64/1.92 #Subsume : 5
% 3.64/1.92 #Demod : 103
% 3.64/1.92 #Tautology : 101
% 3.64/1.92 #SimpNegUnit : 0
% 3.64/1.92 #BackRed : 4
% 3.64/1.92
% 3.64/1.92 #Partial instantiations: 0
% 3.64/1.92 #Strategies tried : 1
% 3.64/1.92
% 3.64/1.92 Timing (in seconds)
% 3.64/1.92 ----------------------
% 3.64/1.92 Preprocessing : 0.35
% 3.64/1.92 Parsing : 0.18
% 3.64/1.92 CNF conversion : 0.02
% 3.64/1.92 Main loop : 0.53
% 3.64/1.92 Inferencing : 0.22
% 3.64/1.92 Reduction : 0.17
% 3.64/1.92 Demodulation : 0.14
% 3.64/1.92 BG Simplification : 0.03
% 3.64/1.92 Subsumption : 0.08
% 3.64/1.92 Abstraction : 0.04
% 3.64/1.92 MUC search : 0.00
% 3.64/1.92 Cooper : 0.00
% 3.64/1.92 Total : 0.92
% 3.64/1.92 Index Insertion : 0.00
% 3.64/1.92 Index Deletion : 0.00
% 3.64/1.92 Index Matching : 0.00
% 3.64/1.92 BG Taut test : 0.00
%------------------------------------------------------------------------------