%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV280-2 : 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 : n010.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 2.80s 2.00s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 11 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_plus > #nlpp > v_sko__urX > c_Message_Omsg_ONonce > c_Event_Oused > v_evs > tc_nat > tc_Message_Omsg
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_sko__urX,type,
v_sko__urX: $i > $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(c_Event_Oused,type,
c_Event_Oused: $i > $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(v_evs,type,
v_evs: $i ).
tff(c_plus,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(f_29,axiom,
! [V_n,V_m] : c_lessequals(V_n,c_plus(V_n,V_m,tc_nat),tc_nat),
file(unknown,unknown) ).
tff(f_27,axiom,
! [V_U] : c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_35,axiom,
! [V_U,V_evs] :
( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [V_n_2,V_m_3] : c_lessequals(V_n_2,c_plus(V_n_2,V_m_3,tc_nat),tc_nat),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
! [V_U_1] : c_in(c_Message_Omsg_ONonce(V_U_1),c_Event_Oused(v_evs),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_9,plain,
! [V_evs_9,V_U_10] :
( ~ c_lessequals(v_sko__urX(V_evs_9),V_U_10,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U_10),c_Event_Oused(V_evs_9),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_14,plain,
! [V_U_11] : ~ c_lessequals(v_sko__urX(v_evs),V_U_11,tc_nat),
inference(resolution,[status(thm)],[c_2,c_9]) ).
tff(c_19,plain,
$false,
inference(resolution,[status(thm)],[c_4,c_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV280-2 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.14 % 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
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Apr 9 02:58:03 EDT 2025
% 0.13/0.35 % CPUTime :
% 2.80/2.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.80/2.01
% 2.80/2.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------