%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV262-2 : 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 : n018.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 09:29:56 PM UTC 2025
% Result : Unsatisfiable 2.29s 1.48s
% Output : CNFRefutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% 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 : 5 ( 3 avg)
% Maximal term depth : 5 ( 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 : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_union > c_insert > #nlpp > c_Message_Oparts > v_Y > v_X > v_H > tc_Message_Omsg > c_emptyset
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_X,type,
v_X: $i ).
tff(c_emptyset,type,
c_emptyset: $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(c_union,type,
c_union: ( $i * $i * $i ) > $i ).
tff(v_Y,type,
v_Y: $i ).
tff(v_H,type,
v_H: $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(f_31,axiom,
! [V_y,T_a] : ( c_union(c_emptyset,V_y,T_a) = V_y ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [V_a,V_B,T_a,V_C] : ( c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [V_G,V_H] : ( c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_27,axiom,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
file(unknown,unknown) ).
tff(c_6,plain,
! [V_y_3,T_a_4] : ( c_union(c_emptyset,V_y_3,T_a_4) = V_y_3 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_8,plain,
! [V_a_5,V_B_6,T_a_7,V_C_8] : ( c_union(c_insert(V_a_5,V_B_6,T_a_7),V_C_8,T_a_7) = c_insert(V_a_5,c_union(V_B_6,V_C_8,T_a_7),T_a_7) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_4,plain,
! [V_G_1,V_H_2] : ( c_union(c_Message_Oparts(V_G_1),c_Message_Oparts(V_H_2),tc_Message_Omsg) = c_Message_Oparts(c_union(V_G_1,V_H_2,tc_Message_Omsg)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_10,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_8,c_8,c_4,c_6,c_8,c_4,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV262-2 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.13 % 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 : n018.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 : Wed Apr 9 02:54:47 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.29/1.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.29/1.48
% 2.29/1.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------