%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV339-2 : 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 : n006.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 09:30:14 PM UTC 2025
% Result : Unsatisfiable 2.62s 1.69s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 2 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > #nlpp > c_Public_OshrK > c_Message_Omsg_OKey > c_Event_Oused > v_evs3 > v_K > v_B > v_A > tc_Message_Omsg
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_K,type,
v_K: $i ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(v_evs3,type,
v_evs3: $i ).
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(v_B,type,
v_B: $i ).
tff(v_A,type,
v_A: $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_30,axiom,
( ( v_K = c_Public_OshrK(v_B) )
| ( v_K = c_Public_OshrK(v_A) ) ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [V_A,V_evs] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_27,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file(unknown,unknown) ).
tff(c_4,plain,
( ( c_Public_OshrK(v_A) = v_K )
| ( c_Public_OshrK(v_B) = v_K ) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_7,plain,
c_Public_OshrK(v_B) = v_K,
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_12,plain,
! [V_A_3,V_evs_4] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_3)),c_Event_Oused(V_evs_4),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_14,plain,
! [V_evs_4] : c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(V_evs_4),tc_Message_Omsg),
inference(superposition,[status(thm),theory(equality)],[c_7,c_12]) ).
tff(c_2,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_17,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_2]) ).
tff(c_18,plain,
c_Public_OshrK(v_A) = v_K,
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_24,plain,
! [V_A_5,V_evs_6] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A_5)),c_Event_Oused(V_evs_6),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_26,plain,
! [V_evs_6] : c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(V_evs_6),tc_Message_Omsg),
inference(superposition,[status(thm),theory(equality)],[c_18,c_24]) ).
tff(c_29,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV339-2 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.13 % 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 : n006.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 03:04:52 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.62/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.62/1.69
% 2.62/1.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------