%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV279-2 : 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/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 : n014.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 09:30:00 PM UTC 2025
% Result : Unsatisfiable 3.55s 2.07s
% Output : CNFRefutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 27 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 60 ( 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_insert > c_Message_Omsg_OMPair > #nlpp > tc_set > c_Message_Oparts > c_Event_Oused > v_Y > v_X > v_H > tc_Message_Omsg > c_emptyset
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(v_X,type,
v_X: $i ).
tff(tc_set,type,
tc_set: $i > $i ).
tff(c_emptyset,type,
c_emptyset: $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(c_Event_Oused,type,
c_Event_Oused: $i > $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $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,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_53,axiom,
! [V_x,V_A,T_a] : c_in(V_x,c_insert(V_x,V_A,T_a),T_a),
file(unknown,unknown) ).
tff(f_46,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [V_X,V_evs] :
( ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_set(tc_Message_Omsg)) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(V_c,V_B,T_a) ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_4,plain,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_19,plain,
~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_2,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_14,plain,
! [V_x_11,V_A_12,T_a_13] : c_in(V_x_11,c_insert(V_x_11,V_A_12,T_a_13),T_a_13),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_10,plain,
! [V_X_7,V_H_8] :
( c_in(V_X_7,c_Message_Oparts(V_H_8),tc_Message_Omsg)
| ~ c_in(V_X_7,V_H_8,tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_20,plain,
! [V_Y_23,V_H_24,V_X_25] :
( c_in(V_Y_23,c_Message_Oparts(V_H_24),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_25,V_Y_23),c_Message_Oparts(V_H_24),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_26,plain,
! [V_Y_26,V_H_27,V_X_28] :
( c_in(V_Y_26,c_Message_Oparts(V_H_27),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_28,V_Y_26),V_H_27,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_10,c_20]) ).
tff(c_40,plain,
! [V_Y_26,V_X_28,V_A_12] : c_in(V_Y_26,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(V_X_28,V_Y_26),V_A_12,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_14,c_26]) ).
tff(c_174,plain,
! [V_X_54,V_evs_55] :
( c_lessequals(c_Message_Oparts(c_insert(V_X_54,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs_55),tc_set(tc_Message_Omsg))
| ~ c_in(V_X_54,c_Event_Oused(V_evs_55),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_16,plain,
! [V_c_14,V_B_17,T_a_16,V_A_15] :
( c_in(V_c_14,V_B_17,T_a_16)
| ~ c_lessequals(V_A_15,V_B_17,tc_set(T_a_16))
| ~ c_in(V_c_14,V_A_15,T_a_16) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_323,plain,
! [V_c_75,V_evs_76,V_X_77] :
( c_in(V_c_75,c_Event_Oused(V_evs_76),tc_Message_Omsg)
| ~ c_in(V_c_75,c_Message_Oparts(c_insert(V_X_77,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X_77,c_Event_Oused(V_evs_76),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_174,c_16]) ).
tff(c_357,plain,
! [V_Y_81,V_evs_82,V_X_83] :
( c_in(V_Y_81,c_Event_Oused(V_evs_82),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_83,V_Y_81),c_Event_Oused(V_evs_82),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_40,c_323]) ).
tff(c_360,plain,
c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_2,c_357]) ).
tff(c_364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19,c_360]) ).
tff(c_365,plain,
~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_399,plain,
! [V_X_93,V_H_94,V_Y_95] :
( c_in(V_X_93,c_Message_Oparts(V_H_94),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_93,V_Y_95),c_Message_Oparts(V_H_94),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_410,plain,
! [V_X_96,V_H_97,V_Y_98] :
( c_in(V_X_96,c_Message_Oparts(V_H_97),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_96,V_Y_98),V_H_97,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_10,c_399]) ).
tff(c_429,plain,
! [V_X_96,V_Y_98,V_A_12] : c_in(V_X_96,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(V_X_96,V_Y_98),V_A_12,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_14,c_410]) ).
tff(c_521,plain,
! [V_X_115,V_evs_116] :
( c_lessequals(c_Message_Oparts(c_insert(V_X_115,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs_116),tc_set(tc_Message_Omsg))
| ~ c_in(V_X_115,c_Event_Oused(V_evs_116),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_780,plain,
! [V_c_146,V_evs_147,V_X_148] :
( c_in(V_c_146,c_Event_Oused(V_evs_147),tc_Message_Omsg)
| ~ c_in(V_c_146,c_Message_Oparts(c_insert(V_X_148,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X_148,c_Event_Oused(V_evs_147),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_521,c_16]) ).
tff(c_809,plain,
! [V_X_149,V_evs_150,V_Y_151] :
( c_in(V_X_149,c_Event_Oused(V_evs_150),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X_149,V_Y_151),c_Event_Oused(V_evs_150),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_429,c_780]) ).
tff(c_812,plain,
c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[c_2,c_809]) ).
tff(c_816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365,c_812]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV279-2 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.13 % 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 : n014.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 : Wed Apr 9 02:57:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.55/2.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.55/2.08
% 3.55/2.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------