%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP195-1 : TPTP v9.0.0. Released v2.2.0.
% 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 : n019.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 06:25:32 PM UTC 2025
% Result : Unsatisfiable 8.45s 3.24s
% Output : CNFRefutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(f_53,axiom,
! [X,Y] : ( multiply(X,multiply(Y,Y)) = multiply(Y,multiply(Y,X)) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_56,axiom,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
file(unknown,unknown) ).
tff(c_4,plain,
! [Y_5,X_4] : ( multiply(Y_5,multiply(Y_5,X_4)) = multiply(X_4,multiply(Y_5,Y_5)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_38,plain,
! [X_8,Y_9,Z_10] : ( multiply(multiply(X_8,Y_9),Z_10) = multiply(X_8,multiply(Y_9,Z_10)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_59,plain,
! [Y_5,X_8,Y_9] : ( multiply(Y_5,multiply(Y_5,multiply(X_8,Y_9))) = multiply(X_8,multiply(Y_9,multiply(Y_5,Y_5))) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_4]) ).
tff(c_220,plain,
! [Y_13,X_14,Y_15] : ( multiply(Y_13,multiply(Y_13,multiply(X_14,Y_15))) = multiply(X_14,multiply(Y_15,multiply(Y_13,Y_13))) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_4]) ).
tff(c_420,plain,
! [Y_5,X_14,X_4] : ( multiply(Y_5,multiply(Y_5,multiply(X_14,X_4))) = multiply(X_14,multiply(Y_5,multiply(Y_5,X_4))) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_220]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3] : ( multiply(multiply(X_1,Y_2),Z_3) = multiply(X_1,multiply(Y_2,Z_3)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_79,plain,
! [X_8,Y_9,X_4] : ( multiply(X_8,multiply(Y_9,multiply(multiply(X_8,Y_9),X_4))) = multiply(X_4,multiply(multiply(X_8,Y_9),multiply(X_8,Y_9))) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_38]) ).
tff(c_89,plain,
! [X_8,Y_9,X_4] : ( multiply(X_8,multiply(Y_9,multiply(X_8,multiply(Y_9,X_4)))) = multiply(X_4,multiply(X_8,multiply(Y_9,multiply(X_8,Y_9)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_79]) ).
tff(c_6,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_5068,plain,
multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(demodulation,[status(thm),theory(equality)],[c_89,c_6]) ).
tff(c_5071,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_59,c_420,c_5068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP195-1 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n019.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 21:35:17 EDT 2025
% 0.13/0.34 % CPUTime :
% 8.45/3.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.45/3.24
% 8.45/3.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------