%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV243-2 : TPTP v9.0.0. Released v3.2.0.
% 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 : n032.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 09:29:51 PM UTC 2025
% Result : Unsatisfiable 1.97s 1.33s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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 : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_union > #nlpp > c_Message_Osynth > c_Message_Oanalz > v_H > tc_Message_Omsg > c_emptyset
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(c_emptyset,type,
c_emptyset: $i ).
tff(c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_union,type,
c_union: ( $i * $i * $i ) > $i ).
tff(v_H,type,
v_H: $i ).
tff(f_31,axiom,
! [V_y,T_a] : ( c_union(V_y,c_emptyset,T_a) = V_y ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [V_G,V_H] : ( c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_27,axiom,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
file(unknown,unknown) ).
tff(c_6,plain,
! [V_y_3,T_a_4] : ( c_union(V_y_3,c_emptyset,T_a_4) = V_y_3 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_16,plain,
! [V_G_7,V_H_8] : ( c_union(c_Message_Oanalz(c_union(V_G_7,V_H_8,tc_Message_Omsg)),c_Message_Osynth(V_G_7),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(V_G_7),V_H_8,tc_Message_Omsg)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_32,plain,
! [V_y_3] : ( c_union(c_Message_Oanalz(V_y_3),c_Message_Osynth(V_y_3),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(V_y_3),c_emptyset,tc_Message_Omsg)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_16]) ).
tff(c_35,plain,
! [V_y_3] : ( c_union(c_Message_Oanalz(V_y_3),c_Message_Osynth(V_y_3),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(V_y_3)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_32]) ).
tff(c_2,plain,
c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) != c_Message_Oanalz(c_Message_Osynth(v_H)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_38,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWV243-2 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.08 % 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
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Wed Apr 9 02:52:15 EDT 2025
% 0.08/0.26 % CPUTime :
% 1.97/1.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.97/1.33
% 1.97/1.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------