%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COL053-1 : 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 : n027.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 2.51s 1.59s
% Output : CNFRefutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 6 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 : 7 ( 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 : 13 ( 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ response > compose > #nlpp > f > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(f,type,
f: $i > $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_29,axiom,
! [X,Y,W] : ( response(compose(X,Y),W) = response(X,response(Y,W)) ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [U] : ( response(U,f(U)) != response(a,response(b,response(c,f(U)))) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1,Y_2,W_3] : ( response(compose(X_1,Y_2),W_3) = response(X_1,response(Y_2,W_3)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_14,plain,
! [U_8] : ( response(a,response(b,response(c,f(U_8)))) != response(U_8,f(U_8)) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_19,plain,
! [X_9,Y_10] : ( response(a,response(b,response(c,f(compose(X_9,Y_10))))) != response(X_9,response(Y_10,f(compose(X_9,Y_10)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_14]) ).
tff(c_23,plain,
! [X_9,X_1,Y_2] : ( response(a,response(b,response(c,f(compose(X_9,compose(X_1,Y_2)))))) != response(X_9,response(X_1,response(Y_2,f(compose(X_9,compose(X_1,Y_2)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_19]) ).
tff(c_31,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL053-1 : 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
% 0.13/0.34 % Computer : n027.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 15:58:21 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.51/1.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.51/1.60
% 2.51/1.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------