TSTP Solution File: SWV322-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV322-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 : Thu Sep 29 15:11:09 EDT 2022
% Result : Unsatisfiable 0.57s 0.68s
% Output : Proof 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 22 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 1 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 20 ( 18 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(c_in_type,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
tff(c_Event_Oused_type,type,
c_Event_Oused: $i > $i ).
tff(v_evs3_type,type,
v_evs3: $i ).
tff(c_Message_Omsg_OKey_type,type,
c_Message_Omsg_OKey: $i > $i ).
tff(c_Public_OshrK_type,type,
c_Public_OshrK: $i > $i ).
tff(v_A_type,type,
v_A: $i ).
tff(v_KAB_type,type,
v_KAB: $i ).
tff(1,plain,
( ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg)
<=> ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg)
<=> ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
tff(4,plain,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(modus_ponens,[status(thm)],[4,1]) ).
tff(6,plain,
^ [V_A: $i,V_evs: $i] :
refl(
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )),
inference(bind,[status(th)],]) ).
tff(7,plain,
( ! [V_A: $i,V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
<=> ! [V_A: $i,V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
inference(quant_intro,[status(thm)],[6]) ).
tff(8,plain,
( ! [V_A: $i,V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
<=> ! [V_A: $i,V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ),
inference(rewrite,[status(thm)],]) ).
tff(9,axiom,
! [V_A: $i,V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-2.ax',cls_Public_OshrK__in__used_0) ).
tff(10,plain,
! [V_A: $i,V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [V_A: $i,V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
inference(skolemize,[status(sab)],[10]) ).
tff(12,plain,
! [V_A: $i,V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
inference(modus_ponens,[status(thm)],[11,7]) ).
tff(13,plain,
( ~ ! [V_A: $i,V_evs: $i] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
inference(quant_inst,[status(thm)],]) ).
tff(14,plain,
$false,
inference(unit_resolution,[status(thm)],[13,12,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV322-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Sep 4 02:35:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 0.57/0.68 % SZS status Unsatisfiable
% 0.57/0.68 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------