%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COL056-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n022.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 05:47:53 PM UTC 2025
% Result : Unsatisfiable 2.67s 1.69s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 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; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ response > compose > #nlpp > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(b,type,
b: $i ).
tff(response,type,
response: ( $i * $i ) > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_38,axiom,
response(a,b) = c,
file(unknown,unknown) ).
tff(f_29,axiom,
! [X,Y,W] : ( response(compose(X,Y),W) = response(X,response(Y,W)) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [W,V] : ( response(W,V) != V ),
file(unknown,unknown) ).
tff(f_39,axiom,
response(a,c) = b,
file(unknown,unknown) ).
tff(c_4,plain,
response(a,b) = c,
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_24,plain,
! [X_8,Y_9,W_10] : ( response(compose(X_8,Y_9),W_10) = response(X_8,response(Y_9,W_10)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_8,plain,
! [W_4,V_5] : ( response(W_4,V_5) != V_5 ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_36,plain,
! [X_11,Y_12,W_13] : ( response(X_11,response(Y_12,W_13)) != W_13 ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_8]) ).
tff(c_46,plain,
! [X_11] : ( response(X_11,c) != b ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_36]) ).
tff(c_6,plain,
response(a,c) = b,
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_51,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL056-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % 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
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 15:58:51 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.67/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.67/1.69
% 2.67/1.69 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------