%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV284-2 : 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 : n004.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 09:30:01 PM UTC 2025
% Result : Unsatisfiable 3.24s 2.14s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 35 ( 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_plus > c_insert > #nlpp > v_x > v_sko__upX > c_Message_Oparts > c_Message_Omsg_ONonce > c_Event_Oused > v_msg > v_list > v_N > tc_nat > tc_Message_Omsg > c_emptyset
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_sko__upX,type,
v_sko__upX: $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(tc_nat,type,
tc_nat: $i ).
tff(v_msg,type,
v_msg: $i ).
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(c_plus,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(v_x,type,
v_x: $i > $i ).
tff(v_N,type,
v_N: $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(v_list,type,
v_list: $i ).
tff(f_27,axiom,
! [V_U] : c_lessequals(V_U,v_x(V_U),tc_nat),
file(unknown,unknown) ).
tff(f_48,axiom,
! [V_m,V_k,V_n] :
( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_k,V_n,tc_nat) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [V_m,V_k,V_n] :
( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_m,V_n,tc_nat) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [V_U] :
( c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_43,axiom,
! [V_U,V_msg] :
( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(V_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(V_msg),V_U,tc_nat) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [V_U] :
( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,V_U,tc_nat) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [V_U_1] : c_lessequals(V_U_1,v_x(V_U_1),tc_nat),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_15,plain,
! [V_k_14,V_n_15,V_m_16] :
( c_lessequals(V_k_14,V_n_15,tc_nat)
| ~ c_lessequals(c_plus(V_m_16,V_k_14,tc_nat),V_n_15,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_21,plain,
! [V_k_17,V_m_18] : c_lessequals(V_k_17,v_x(c_plus(V_m_18,V_k_17,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c_2,c_15]) ).
tff(c_10,plain,
! [V_k_7,V_n_8,V_m_6] :
( c_lessequals(V_k_7,V_n_8,tc_nat)
| ~ c_lessequals(c_plus(V_m_6,V_k_7,tc_nat),V_n_8,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_26,plain,
! [V_k_7,V_m_18,V_m_6] : c_lessequals(V_k_7,v_x(c_plus(V_m_18,c_plus(V_m_6,V_k_7,tc_nat),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c_21,c_10]) ).
tff(c_27,plain,
! [V_m_19,V_n_20,V_k_21] :
( c_lessequals(V_m_19,V_n_20,tc_nat)
| ~ c_lessequals(c_plus(V_m_19,V_k_21,tc_nat),V_n_20,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_37,plain,
! [V_m_19,V_k_21] : c_lessequals(V_m_19,v_x(c_plus(V_m_19,V_k_21,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c_2,c_27]) ).
tff(c_72,plain,
! [V_U_32] :
( c_in(c_Message_Omsg_ONonce(v_x(V_U_32)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(V_U_32)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_8,plain,
! [V_msg_5,V_U_4] :
( ~ c_lessequals(v_sko__upX(V_msg_5),V_U_4,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U_4),c_Message_Oparts(c_insert(V_msg_5,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_99,plain,
! [V_U_39] :
( ~ c_lessequals(v_sko__upX(v_msg),v_x(V_U_39),tc_nat)
| c_in(c_Message_Omsg_ONonce(v_x(V_U_39)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c_72,c_8]) ).
tff(c_4,plain,
! [V_U_2] :
( ~ c_lessequals(v_N,V_U_2,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U_2),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_104,plain,
! [V_U_40] :
( ~ c_lessequals(v_N,v_x(V_U_40),tc_nat)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(V_U_40),tc_nat) ),
inference(resolution,[status(thm)],[c_99,c_4]) ).
tff(c_140,plain,
! [V_k_41] : ~ c_lessequals(v_N,v_x(c_plus(v_sko__upX(v_msg),V_k_41,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[c_37,c_104]) ).
tff(c_151,plain,
$false,
inference(resolution,[status(thm)],[c_26,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV284-2 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.09 % 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
% 0.09/0.29 % Computer : n004.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Apr 9 02:57:52 EDT 2025
% 0.09/0.29 % CPUTime :
% 3.24/2.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.24/2.15
% 3.24/2.15 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------