%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP704-10 : TPTP v9.0.0. Released v8.1.0.
% 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 : n014.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 06:27:02 PM UTC 2025
% Result : Unsatisfiable 3.84s 2.06s
% Output : CNFRefutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% 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 : 3 ( 2 avg)
% Maximal term depth : 5 ( 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > x5 > x4 > unit > op_f > op_e > op_d > op_c
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(op_f,type,
op_f: $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff(op_e,type,
op_e: $i ).
tff(op_c,type,
op_c: $i ).
tff(x4,type,
x4: $i ).
tff(unit,type,
unit: $i ).
tff(op_d,type,
op_d: $i ).
tff(x5,type,
x5: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(f_39,axiom,
! [A,B] : ( mult(op_c,mult(A,B)) = mult(mult(op_c,A),B) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( mult(A,ld(A,B)) = B ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A] : ( mult(unit,A) = A ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [A,B] : ( op_f = mult(A,mult(B,ld(mult(A,B),op_c))) ),
file(unknown,unknown) ).
tff(f_51,axiom,
mult(op_f,mult(x4,x5)) != mult(mult(op_f,x4),x5),
file(unknown,unknown) ).
tff(c_16,plain,
! [A_14,B_15] : ( mult(mult(op_c,A_14),B_15) = mult(op_c,mult(A_14,B_15)) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_2,plain,
! [A_1,B_2] : ( mult(A_1,ld(A_1,B_2)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_12,plain,
! [A_10] : ( mult(unit,A_10) = A_10 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_1079,plain,
! [A_61,B_62] : ( mult(A_61,mult(B_62,ld(mult(A_61,B_62),op_c))) = op_f ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_1117,plain,
! [B_62] : ( mult(B_62,ld(mult(unit,B_62),op_c)) = op_f ),
inference(superposition,[status(thm),theory(equality)],[c_1079,c_12]) ).
tff(c_1182,plain,
op_f = op_c,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12,c_1117]) ).
tff(c_28,plain,
mult(mult(op_f,x4),x5) != mult(op_f,mult(x4,x5)),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_1191,plain,
mult(mult(op_c,x4),x5) != mult(op_c,mult(x4,x5)),
inference(demodulation,[status(thm),theory(equality)],[c_1182,c_1182,c_28]) ).
tff(c_1194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP704-10 : TPTP v9.0.0. Released v8.1.0.
% 0.05/0.10 % 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
% 0.10/0.29 % Computer : n014.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Apr 7 22:28:19 EDT 2025
% 0.10/0.29 % CPUTime :
% 3.84/2.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.84/2.06
% 3.84/2.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------