%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COL063-1 : 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/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 : n025.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 05:47:55 PM UTC 2025
% Result : Unsatisfiable 19.38s 9.11s
% Output : CNFRefutation 19.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% 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 : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 13 ( 3 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; 2 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ apply > #nlpp > h > g > f > t > b
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(t,type,
t: $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff(f,type,
f: $i > $i ).
tff(g,type,
g: $i > $i ).
tff(b,type,
b: $i ).
tff(h,type,
h: $i > $i ).
tff(f_28,axiom,
! [X,Y] : ( apply(apply(t,X),Y) = apply(Y,X) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X,Y,Z] : ( apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X] : ( apply(apply(apply(X,f(X)),g(X)),h(X)) != apply(apply(h(X),g(X)),f(X)) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_4,Y_5] : ( apply(apply(t,X_4),Y_5) = apply(Y_5,X_4) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3] : ( apply(apply(apply(b,X_1),Y_2),Z_3) = apply(X_1,apply(Y_2,Z_3)) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_25,plain,
! [X_12] : ( apply(apply(apply(X_12,f(X_12)),g(X_12)),h(X_12)) != apply(apply(h(X_12),g(X_12)),f(X_12)) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_74,plain,
! [X_17,Y_18] : ( apply(apply(apply(X_17,apply(Y_18,f(apply(apply(b,X_17),Y_18)))),g(apply(apply(b,X_17),Y_18))),h(apply(apply(b,X_17),Y_18))) != apply(apply(h(apply(apply(b,X_17),Y_18)),g(apply(apply(b,X_17),Y_18))),f(apply(apply(b,X_17),Y_18))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_25]) ).
tff(c_350,plain,
! [X_42,X_43,Y_44] : ( apply(apply(apply(X_42,apply(X_43,apply(Y_44,f(apply(apply(b,X_42),apply(apply(b,X_43),Y_44)))))),g(apply(apply(b,X_42),apply(apply(b,X_43),Y_44)))),h(apply(apply(b,X_42),apply(apply(b,X_43),Y_44)))) != apply(apply(h(apply(apply(b,X_42),apply(apply(b,X_43),Y_44))),g(apply(apply(b,X_42),apply(apply(b,X_43),Y_44)))),f(apply(apply(b,X_42),apply(apply(b,X_43),Y_44)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_74]) ).
tff(c_2543,plain,
! [X_290,X_291,Y_292,Y_293] : ( apply(apply(apply(X_290,apply(X_291,apply(Y_292,apply(Y_293,f(apply(apply(b,X_290),apply(apply(b,apply(apply(b,X_291),Y_292)),Y_293))))))),g(apply(apply(b,X_290),apply(apply(b,apply(apply(b,X_291),Y_292)),Y_293)))),h(apply(apply(b,X_290),apply(apply(b,apply(apply(b,X_291),Y_292)),Y_293)))) != apply(apply(h(apply(apply(b,X_290),apply(apply(b,apply(apply(b,X_291),Y_292)),Y_293))),g(apply(apply(b,X_290),apply(apply(b,apply(apply(b,X_291),Y_292)),Y_293)))),f(apply(apply(b,X_290),apply(apply(b,apply(apply(b,X_291),Y_292)),Y_293)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_350]) ).
tff(c_11530,plain,
! [X_1379,Y_1380,Y_1381,X_1382] : ( apply(apply(apply(apply(X_1379,apply(Y_1380,apply(Y_1381,f(apply(apply(b,apply(t,X_1382)),apply(apply(b,apply(apply(b,X_1379),Y_1380)),Y_1381)))))),X_1382),g(apply(apply(b,apply(t,X_1382)),apply(apply(b,apply(apply(b,X_1379),Y_1380)),Y_1381)))),h(apply(apply(b,apply(t,X_1382)),apply(apply(b,apply(apply(b,X_1379),Y_1380)),Y_1381)))) != apply(apply(h(apply(apply(b,apply(t,X_1382)),apply(apply(b,apply(apply(b,X_1379),Y_1380)),Y_1381))),g(apply(apply(b,apply(t,X_1382)),apply(apply(b,apply(apply(b,X_1379),Y_1380)),Y_1381)))),f(apply(apply(b,apply(t,X_1382)),apply(apply(b,apply(apply(b,X_1379),Y_1380)),Y_1381)))) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2543]) ).
tff(c_13823,plain,
! [Y_1630,Y_1631,Y_1632] : ( apply(apply(apply(Y_1630,apply(Y_1631,f(apply(apply(b,apply(t,Y_1632)),apply(apply(b,apply(apply(b,b),Y_1630)),Y_1631))))),apply(Y_1632,g(apply(apply(b,apply(t,Y_1632)),apply(apply(b,apply(apply(b,b),Y_1630)),Y_1631))))),h(apply(apply(b,apply(t,Y_1632)),apply(apply(b,apply(apply(b,b),Y_1630)),Y_1631)))) != apply(apply(h(apply(apply(b,apply(t,Y_1632)),apply(apply(b,apply(apply(b,b),Y_1630)),Y_1631))),g(apply(apply(b,apply(t,Y_1632)),apply(apply(b,apply(apply(b,b),Y_1630)),Y_1631)))),f(apply(apply(b,apply(t,Y_1632)),apply(apply(b,apply(apply(b,b),Y_1630)),Y_1631)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_11530]) ).
tff(c_13860,plain,
! [Y_1633,Y_1634] : ( apply(apply(Y_1633,f(apply(apply(b,apply(t,Y_1634)),apply(apply(b,apply(apply(b,b),b)),Y_1633)))),apply(apply(Y_1634,g(apply(apply(b,apply(t,Y_1634)),apply(apply(b,apply(apply(b,b),b)),Y_1633)))),h(apply(apply(b,apply(t,Y_1634)),apply(apply(b,apply(apply(b,b),b)),Y_1633))))) != apply(apply(h(apply(apply(b,apply(t,Y_1634)),apply(apply(b,apply(apply(b,b),b)),Y_1633))),g(apply(apply(b,apply(t,Y_1634)),apply(apply(b,apply(apply(b,b),b)),Y_1633)))),f(apply(apply(b,apply(t,Y_1634)),apply(apply(b,apply(apply(b,b),b)),Y_1633)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_13823]) ).
tff(c_13893,plain,
! [Y_1635] : ( apply(apply(Y_1635,f(apply(apply(b,apply(t,t)),apply(apply(b,apply(apply(b,b),b)),Y_1635)))),apply(h(apply(apply(b,apply(t,t)),apply(apply(b,apply(apply(b,b),b)),Y_1635))),g(apply(apply(b,apply(t,t)),apply(apply(b,apply(apply(b,b),b)),Y_1635))))) != apply(apply(h(apply(apply(b,apply(t,t)),apply(apply(b,apply(apply(b,b),b)),Y_1635))),g(apply(apply(b,apply(t,t)),apply(apply(b,apply(apply(b,b),b)),Y_1635)))),f(apply(apply(b,apply(t,t)),apply(apply(b,apply(apply(b,b),b)),Y_1635)))) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13860]) ).
tff(c_13911,plain,
$false,
inference(superposition,[status(thm),theory(equality)],[c_4,c_13893]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL063-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % 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 : n025.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 15:59:35 EDT 2025
% 0.13/0.34 % CPUTime :
% 19.38/9.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.38/9.12
% 19.38/9.12 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------