%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CAT003-3 : 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 05:46:25 PM UTC 2025
% Result : Unsatisfiable 65.72s 49.14s
% Output : CNFRefutation 65.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equivalent > there_exists > f1 > compose > #nlpp > domain > codomain > h > g > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(equivalent,type,
equivalent: ( $i * $i ) > $o ).
tff(h,type,
h: $i ).
tff(a,type,
a: $i ).
tff(domain,type,
domain: $i > $i ).
tff(there_exists,type,
there_exists: $i > $o ).
tff(b,type,
b: $i ).
tff(g,type,
g: $i ).
tff(codomain,type,
codomain: $i > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(f1,type,
f1: ( $i * $i ) > $i ).
tff(f_169,axiom,
g != h,
file(unknown,unknown) ).
tff(f_101,axiom,
! [X,Y,Z] : ( compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ),
file(unknown,unknown) ).
tff(f_167,axiom,
compose(h,a) = compose(g,a),
file(unknown,unknown) ).
tff(f_165,axiom,
! [X,Y,Z] :
( ( compose(X,compose(a,b)) != Y )
| ( compose(Z,compose(a,b)) != Y )
| ( X = Z ) ),
file(unknown,unknown) ).
tff(c_44,plain,
h != g,
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_18,plain,
! [X_15,Y_16,Z_17] : ( compose(compose(X_15,Y_16),Z_17) = compose(X_15,compose(Y_16,Z_17)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_42,plain,
compose(h,a) = compose(g,a),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_217,plain,
! [X_59,Y_60,Z_61] : ( compose(compose(X_59,Y_60),Z_61) = compose(X_59,compose(Y_60,Z_61)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_248,plain,
! [Z_61] : ( compose(compose(g,a),Z_61) = compose(h,compose(a,Z_61)) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_217]) ).
tff(c_725235,plain,
! [Z_102003] : ( compose(h,compose(a,Z_102003)) = compose(g,compose(a,Z_102003)) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_248]) ).
tff(c_38,plain,
! [Z_34,X_32] :
( ( Z_34 = X_32 )
| ( compose(Z_34,compose(a,b)) != compose(X_32,compose(a,b)) ) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_725253,plain,
! [Z_34] :
( ( h = Z_34 )
| ( compose(g,compose(a,b)) != compose(Z_34,compose(a,b)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_725235,c_38]) ).
tff(c_1099039,plain,
h = g,
inference(reflexivity,[status(thm),theory(equality)],[c_725253]) ).
tff(c_1099041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_1099039]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT003-3 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % 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
% 0.13/0.33 % Computer : n022.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 15:37:36 EDT 2025
% 0.13/0.34 % CPUTime :
% 65.72/49.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.81/49.15
% 65.81/49.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------