%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP612-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% 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 : n027.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 : Wed Apr 9 06:26:38 PM UTC 2025
% Result : Unsatisfiable 4.59s 2.15s
% Output : CNFRefutation 4.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 38 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 37 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 : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 91 ( 91 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(f_26,axiom,
! [A,B] : ( multiply(A,B) = inverse(double_divide(B,A)) ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B ),
file(unknown,unknown) ).
tff(f_28,axiom,
multiply(a,b) != multiply(b,a),
file(unknown,unknown) ).
tff(c_4,plain,
! [B_5,A_4] : ( inverse(double_divide(B_5,A_4)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( inverse(double_divide(inverse(double_divide(inverse(double_divide(A_1,B_2)),C_3)),double_divide(A_1,C_3))) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_17,plain,
! [A_8,C_9,B_10] : ( multiply(double_divide(A_8,C_9),multiply(C_9,multiply(B_10,A_8))) = B_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_7,plain,
! [A_1,C_3,B_2] : ( multiply(double_divide(A_1,C_3),multiply(C_3,multiply(B_2,A_1))) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_2]) ).
tff(c_20,plain,
! [C_9,B_10,A_8,C_3] : ( multiply(double_divide(multiply(C_9,multiply(B_10,A_8)),C_3),multiply(C_3,B_10)) = double_divide(A_8,C_9) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_64,plain,
! [C_14,B_15,A_16,C_17] : ( multiply(double_divide(multiply(C_14,multiply(B_15,A_16)),C_17),multiply(C_17,B_15)) = double_divide(A_16,C_14) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_23,plain,
! [B_10,A_8,C_9] : ( multiply(double_divide(multiply(B_10,A_8),double_divide(A_8,C_9)),B_10) = C_9 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_127,plain,
! [A_18,B_19,C_20] : ( double_divide(A_18,multiply(double_divide(multiply(B_19,A_18),C_20),B_19)) = C_20 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_23]) ).
tff(c_161,plain,
! [B_10,A_8,C_3] : ( double_divide(multiply(B_10,A_8),double_divide(A_8,multiply(C_3,B_10))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_127]) ).
tff(c_175,plain,
! [B_21,A_22,C_23] : ( double_divide(multiply(B_21,A_22),double_divide(A_22,multiply(C_23,B_21))) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_127]) ).
tff(c_197,plain,
! [A_22,C_23,B_21] : ( multiply(double_divide(A_22,multiply(C_23,B_21)),multiply(B_21,A_22)) = inverse(C_23) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_4]) ).
tff(c_83,plain,
! [A_16,B_15,C_9] : ( double_divide(A_16,multiply(double_divide(multiply(B_15,A_16),C_9),B_15)) = C_9 ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_23]) ).
tff(c_296,plain,
! [A_27,C_28,B_29] : ( multiply(double_divide(A_27,multiply(C_28,B_29)),multiply(B_29,A_27)) = inverse(C_28) ),
inference(superposition,[status(thm),theory(equality)],[c_175,c_4]) ).
tff(c_335,plain,
! [A_27,C_28,B_29] : ( multiply(double_divide(A_27,double_divide(A_27,multiply(C_28,B_29))),inverse(C_28)) = B_29 ),
inference(superposition,[status(thm),theory(equality)],[c_296,c_7]) ).
tff(c_380,plain,
! [A_30,C_31,B_32] : ( multiply(double_divide(A_30,double_divide(A_30,multiply(C_31,B_32))),inverse(C_31)) = B_32 ),
inference(superposition,[status(thm),theory(equality)],[c_296,c_7]) ).
tff(c_461,plain,
! [C_33,A_34,B_35] : ( double_divide(multiply(inverse(C_33),A_34),multiply(C_33,B_35)) = double_divide(A_34,B_35) ),
inference(superposition,[status(thm),theory(equality)],[c_380,c_83]) ).
tff(c_596,plain,
! [A_39,B_40,C_41] : ( double_divide(A_39,multiply(double_divide(A_39,B_40),inverse(C_41))) = multiply(C_41,B_40) ),
inference(superposition,[status(thm),theory(equality)],[c_461,c_83]) ).
tff(c_669,plain,
! [C_42,A_43,B_44] : ( multiply(C_42,double_divide(A_43,multiply(C_42,B_44))) = double_divide(A_43,B_44) ),
inference(superposition,[status(thm),theory(equality)],[c_335,c_596]) ).
tff(c_755,plain,
! [B_45,A_46,C_47] : ( multiply(double_divide(multiply(B_45,A_46),C_47),C_47) = double_divide(A_46,B_45) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_669]) ).
tff(c_1058,plain,
! [B_53,A_54] : ( inverse(multiply(B_53,A_54)) = double_divide(A_54,B_53) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_197]) ).
tff(c_1082,plain,
! [B_21,A_22,C_23] : ( double_divide(multiply(B_21,A_22),double_divide(A_22,multiply(C_23,B_21))) = inverse(inverse(C_23)) ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_1058]) ).
tff(c_1099,plain,
! [C_23] : ( inverse(inverse(C_23)) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_161,c_1082]) ).
tff(c_788,plain,
! [B_45,A_46] : ( inverse(multiply(B_45,A_46)) = double_divide(A_46,B_45) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_197]) ).
tff(c_825,plain,
! [A_46,C_9] : ( double_divide(A_46,double_divide(A_46,C_9)) = C_9 ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_23]) ).
tff(c_987,plain,
! [C_28,B_29] : ( multiply(multiply(C_28,B_29),inverse(C_28)) = B_29 ),
inference(demodulation,[status(thm),theory(equality)],[c_825,c_335]) ).
tff(c_1268,plain,
! [C_60,B_61] : ( multiply(multiply(C_60,B_61),inverse(C_60)) = B_61 ),
inference(demodulation,[status(thm),theory(equality)],[c_825,c_335]) ).
tff(c_1322,plain,
! [B_29,C_28] : ( multiply(B_29,inverse(multiply(C_28,B_29))) = inverse(C_28) ),
inference(superposition,[status(thm),theory(equality)],[c_987,c_1268]) ).
tff(c_1601,plain,
! [B_66,C_67] : ( multiply(B_66,double_divide(B_66,C_67)) = inverse(C_67) ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_1322]) ).
tff(c_1613,plain,
! [B_66,C_67] : ( double_divide(double_divide(B_66,C_67),B_66) = inverse(inverse(C_67)) ),
inference(superposition,[status(thm),theory(equality)],[c_1601,c_788]) ).
tff(c_1691,plain,
! [B_66,C_67] : ( double_divide(double_divide(B_66,C_67),B_66) = C_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_1099,c_1613]) ).
tff(c_1696,plain,
! [B_68,C_69] : ( double_divide(double_divide(B_68,C_69),B_68) = C_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_1099,c_1613]) ).
tff(c_2347,plain,
! [C_76,B_77] : ( double_divide(C_76,double_divide(B_77,C_76)) = B_77 ),
inference(superposition,[status(thm),theory(equality)],[c_1691,c_1696]) ).
tff(c_2429,plain,
! [B_77,B_10] : ( multiply(B_77,B_10) = multiply(B_10,B_77) ),
inference(superposition,[status(thm),theory(equality)],[c_2347,c_23]) ).
tff(c_6,plain,
multiply(b,a) != multiply(a,b),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2723,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2429,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GRP612-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% 0.02/0.13 % 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
% 0.13/0.33 % Computer : n027.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 7 21:57:50 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.59/2.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.76/2.16
% 4.76/2.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------