%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP709-1 : TPTP v9.0.0. Released v4.0.0.
% 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 : n003.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 06:27:03 PM UTC 2025
% Result : Unsatisfiable 4.37s 2.52s
% Output : CNFRefutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 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 : 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > unit > op_c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff(op_c,type,
op_c: $i ).
tff(b,type,
b: $i ).
tff(unit,type,
unit: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(f_41,axiom,
! [A,B] : ( mult(A,mult(B,op_c)) = mult(mult(A,B),op_c) ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [A] : ( mult(op_c,A) = mult(A,op_c) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [A,B,C] : ( mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A] : ( mult(unit,A) = A ),
file(unknown,unknown) ).
tff(f_43,axiom,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
file(unknown,unknown) ).
tff(c_324,plain,
! [A_35,B_36] : ( mult(mult(A_35,B_36),op_c) = mult(A_35,mult(B_36,op_c)) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_16,plain,
! [A_14] : ( mult(op_c,A_14) = mult(A_14,op_c) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_333,plain,
! [A_35,B_36] : ( mult(op_c,mult(A_35,B_36)) = mult(A_35,mult(B_36,op_c)) ),
inference(superposition,[status(thm),theory(equality)],[c_324,c_16]) ).
tff(c_14,plain,
! [A_11,B_12,C_13] : ( mult(mult(A_11,mult(B_12,A_11)),C_13) = mult(A_11,mult(B_12,mult(A_11,C_13))) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_12,plain,
! [A_10] : ( mult(unit,A_10) = A_10 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_513,plain,
! [A_41,B_42,C_43] : ( mult(mult(A_41,mult(B_42,A_41)),C_43) = mult(A_41,mult(B_42,mult(A_41,C_43))) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_602,plain,
! [A_10,C_43] : ( mult(A_10,mult(unit,mult(A_10,C_43))) = mult(mult(A_10,A_10),C_43) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_513]) ).
tff(c_619,plain,
! [A_10,C_43] : ( mult(mult(A_10,A_10),C_43) = mult(A_10,mult(A_10,C_43)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_602]) ).
tff(c_20,plain,
mult(mult(mult(op_c,op_c),a),b) != mult(mult(op_c,op_c),mult(a,b)),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_1121,plain,
mult(mult(op_c,mult(op_c,a)),b) != mult(op_c,mult(op_c,mult(a,b))),
inference(demodulation,[status(thm),theory(equality)],[c_619,c_619,c_20]) ).
tff(c_1124,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_333,c_16,c_14,c_16,c_1121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP709-1 : TPTP v9.0.0. Released v4.0.0.
% 0.13/0.13 % 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 : n003.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 22:28:48 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.37/2.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.37/2.53
% 4.37/2.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------