%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP556-1 : 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 : n032.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 06:26:30 PM UTC 2025
% Result : Unsatisfiable 3.83s 1.96s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 30 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 : 6 ( 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 : 70 ( 70 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(f_26,axiom,
! [A,B] : ( multiply(A,B) = divide(A,inverse(B)) ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B ),
file(unknown,unknown) ).
tff(f_28,axiom,
multiply(a,b) != multiply(b,a),
file(unknown,unknown) ).
tff(c_4,plain,
! [A_4,B_5] : ( divide(A_4,inverse(B_5)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( divide(divide(A_1,inverse(divide(B_2,divide(A_1,C_3)))),C_3) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_17,plain,
! [A_8,B_9,C_10] : ( divide(multiply(A_8,divide(B_9,divide(A_8,C_10))),C_10) = B_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_31,plain,
! [A_8,B_9,B_5] : ( multiply(multiply(A_8,divide(B_9,divide(A_8,inverse(B_5)))),B_5) = B_9 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_50,plain,
! [A_8,B_9,B_5] : ( multiply(multiply(A_8,divide(B_9,multiply(A_8,B_5))),B_5) = B_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_31]) ).
tff(c_7,plain,
! [A_1,B_2,C_3] : ( divide(multiply(A_1,divide(B_2,divide(A_1,C_3))),C_3) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_102,plain,
! [A_17,B_18,C_19,B_20] : ( divide(multiply(multiply(A_17,divide(B_18,divide(A_17,C_19))),divide(B_20,B_18)),C_19) = B_20 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_313,plain,
! [A_28,B_29,B_30,B_31] : ( divide(multiply(multiply(A_28,divide(B_29,multiply(A_28,B_30))),divide(B_31,B_29)),inverse(B_30)) = B_31 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_102]) ).
tff(c_388,plain,
! [B_32,B_33] : ( divide(B_32,inverse(divide(B_33,B_32))) = B_33 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_313]) ).
tff(c_369,plain,
! [B_9,B_31] : ( divide(B_9,inverse(divide(B_31,B_9))) = B_31 ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_313]) ).
tff(c_643,plain,
! [B_42,B_43] : ( divide(inverse(divide(B_42,B_43)),inverse(B_42)) = B_43 ),
inference(superposition,[status(thm),theory(equality)],[c_388,c_369]) ).
tff(c_419,plain,
! [B_32,B_33] : ( multiply(B_32,divide(B_33,B_32)) = B_33 ),
inference(superposition,[status(thm),theory(equality)],[c_388,c_4]) ).
tff(c_772,plain,
! [B_46,B_47] : ( multiply(inverse(B_46),B_47) = inverse(divide(B_46,B_47)) ),
inference(superposition,[status(thm),theory(equality)],[c_643,c_419]) ).
tff(c_456,plain,
! [B_34,B_35] : ( multiply(B_34,divide(B_35,B_34)) = B_35 ),
inference(superposition,[status(thm),theory(equality)],[c_388,c_4]) ).
tff(c_495,plain,
! [B_5,A_4] : ( multiply(inverse(B_5),multiply(A_4,B_5)) = A_4 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_456]) ).
tff(c_868,plain,
! [B_48,A_49] : ( inverse(divide(B_48,multiply(A_49,B_48))) = A_49 ),
inference(superposition,[status(thm),theory(equality)],[c_772,c_495]) ).
tff(c_892,plain,
! [A_49,B_48] : ( divide(multiply(A_49,B_48),A_49) = B_48 ),
inference(superposition,[status(thm),theory(equality)],[c_868,c_369]) ).
tff(c_933,plain,
! [A_50,B_51] : ( divide(multiply(A_50,B_51),A_50) = B_51 ),
inference(superposition,[status(thm),theory(equality)],[c_868,c_369]) ).
tff(c_179,plain,
! [A_21,B_22,A_23,C_24] : ( multiply(A_21,divide(B_22,divide(A_21,divide(A_23,C_24)))) = divide(multiply(A_23,B_22),C_24) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).
tff(c_194,plain,
! [A_23,B_22,C_24] : ( divide(divide(multiply(A_23,B_22),C_24),divide(A_23,C_24)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_179,c_7]) ).
tff(c_1061,plain,
! [B_52,A_53] : ( divide(B_52,divide(A_53,A_53)) = B_52 ),
inference(superposition,[status(thm),theory(equality)],[c_933,c_194]) ).
tff(c_1072,plain,
! [A_53,B_48] : ( multiply(divide(A_53,A_53),B_48) = B_48 ),
inference(superposition,[status(thm),theory(equality)],[c_1061,c_892]) ).
tff(c_1613,plain,
! [A_60,B_61] : ( multiply(divide(A_60,A_60),B_61) = B_61 ),
inference(superposition,[status(thm),theory(equality)],[c_1061,c_892]) ).
tff(c_1674,plain,
! [B_9,A_60,B_5] : ( multiply(divide(B_9,multiply(divide(A_60,A_60),B_5)),B_5) = B_9 ),
inference(superposition,[status(thm),theory(equality)],[c_1613,c_50]) ).
tff(c_1991,plain,
! [B_66,B_67] : ( multiply(divide(B_66,B_67),B_67) = B_66 ),
inference(demodulation,[status(thm),theory(equality)],[c_1072,c_1674]) ).
tff(c_2068,plain,
! [B_48,A_49] : ( multiply(B_48,A_49) = multiply(A_49,B_48) ),
inference(superposition,[status(thm),theory(equality)],[c_892,c_1991]) ).
tff(c_6,plain,
multiply(b,a) != multiply(a,b),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2305,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2068,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP556-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% 0.00/0.09 % 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
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon Apr 7 21:55:45 EDT 2025
% 0.08/0.28 % CPUTime :
% 3.83/1.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.83/1.96
% 3.83/1.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------