%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP540-1 : 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/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 : Wed Apr 9 06:26:28 PM UTC 2025
% Result : Unsatisfiable 3.21s 1.86s
% Output : CNFRefutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > identity > 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(identity,type,
identity: $i ).
tff(f_30,axiom,
! [A] : ( identity = divide(A,A) ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [A,B] : ( inverse(A) = divide(divide(B,B),A) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [A,B,C] : ( multiply(A,B) = divide(A,divide(divide(C,C),B)) ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( divide(divide(A,B),divide(divide(A,C),B)) = C ),
file(unknown,unknown) ).
tff(f_32,axiom,
multiply(a,b) != multiply(b,a),
file(unknown,unknown) ).
tff(c_8,plain,
! [A_9] : ( divide(A_9,A_9) = identity ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_6,plain,
! [B_8,A_7] : ( divide(divide(B_8,B_8),A_7) = inverse(A_7) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_11,plain,
! [A_7] : ( divide(identity,A_7) = inverse(A_7) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_4,plain,
! [A_4,C_6,B_5] : ( divide(A_4,divide(divide(C_6,C_6),B_5)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_12,plain,
! [A_4,B_5] : ( divide(A_4,inverse(B_5)) = multiply(A_4,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_8,c_4]) ).
tff(c_85,plain,
! [A_15,B_16,C_17] : ( divide(divide(A_15,B_16),divide(divide(A_15,C_17),B_16)) = C_17 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_131,plain,
! [A_9,B_16] : ( divide(divide(A_9,B_16),divide(identity,B_16)) = A_9 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_85]) ).
tff(c_168,plain,
! [A_19,B_20] : ( multiply(divide(A_19,B_20),B_20) = A_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_11,c_131]) ).
tff(c_186,plain,
! [A_9] : ( multiply(identity,A_9) = A_9 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_168]) ).
tff(c_20,plain,
! [A_11] : ( divide(identity,A_11) = inverse(A_11) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_27,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_20,c_8]) ).
tff(c_42,plain,
! [A_12,B_13] : ( divide(A_12,inverse(B_13)) = multiply(A_12,B_13) ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_8,c_4]) ).
tff(c_254,plain,
! [A_24] : ( multiply(A_24,identity) = divide(A_24,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_27,c_42]) ).
tff(c_142,plain,
! [A_9,B_16] : ( multiply(divide(A_9,B_16),B_16) = A_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_11,c_131]) ).
tff(c_291,plain,
! [A_25] : ( divide(divide(A_25,identity),identity) = A_25 ),
inference(superposition,[status(thm),theory(equality)],[c_254,c_142]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( divide(divide(A_1,B_2),divide(divide(A_1,C_3),B_2)) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_332,plain,
! [A_26] : ( divide(divide(A_26,identity),A_26) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_291,c_2]) ).
tff(c_349,plain,
! [A_26] : ( multiply(identity,A_26) = divide(A_26,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_332,c_142]) ).
tff(c_392,plain,
! [A_26] : ( divide(A_26,identity) = A_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_186,c_349]) ).
tff(c_404,plain,
! [A_27] : ( divide(A_27,identity) = A_27 ),
inference(demodulation,[status(thm),theory(equality)],[c_186,c_349]) ).
tff(c_420,plain,
! [A_1,C_3] : ( divide(divide(A_1,identity),divide(A_1,C_3)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_404,c_2]) ).
tff(c_545,plain,
! [A_31,C_32] : ( divide(A_31,divide(A_31,C_32)) = C_32 ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_420]) ).
tff(c_562,plain,
! [C_32,A_31] : ( multiply(C_32,divide(A_31,C_32)) = A_31 ),
inference(superposition,[status(thm),theory(equality)],[c_545,c_142]) ).
tff(c_63,plain,
! [B_13] : ( inverse(inverse(B_13)) = multiply(identity,B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_42]) ).
tff(c_190,plain,
! [B_13] : ( inverse(inverse(B_13)) = B_13 ),
inference(demodulation,[status(thm),theory(equality)],[c_186,c_63]) ).
tff(c_125,plain,
! [B_16,A_7] : ( divide(divide(identity,B_16),divide(inverse(A_7),B_16)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_85]) ).
tff(c_491,plain,
! [B_29,A_30] : ( divide(inverse(B_29),divide(inverse(A_30),B_29)) = A_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_125]) ).
tff(c_526,plain,
! [B_5,A_30] : ( divide(inverse(inverse(B_5)),multiply(inverse(A_30),B_5)) = A_30 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_491]) ).
tff(c_775,plain,
! [B_38,A_39] : ( divide(B_38,multiply(inverse(A_39),B_38)) = A_39 ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_526]) ).
tff(c_812,plain,
! [A_31,A_39] : ( divide(divide(A_31,inverse(A_39)),A_31) = A_39 ),
inference(superposition,[status(thm),theory(equality)],[c_562,c_775]) ).
tff(c_843,plain,
! [A_40,A_41] : ( divide(multiply(A_40,A_41),A_40) = A_41 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_812]) ).
tff(c_859,plain,
! [A_41,A_40] : ( multiply(A_41,A_40) = multiply(A_40,A_41) ),
inference(superposition,[status(thm),theory(equality)],[c_843,c_142]) ).
tff(c_10,plain,
multiply(b,a) != multiply(a,b),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_998,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_859,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP540-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% 0.12/0.13 % 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
% 0.13/0.34 % Computer : n031.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 : Mon Apr 7 21:55:22 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.21/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.21/1.86
% 3.21/1.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------