TSTP Solution File: SWV283-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV283-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %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 : 600s
% DateTime : Wed Jul 20 21:42:01 EDT 2022
% Result : Unsatisfiable 10.25s 10.48s
% Output : Refutation 10.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 6 unt; 3 nHn; 15 RR)
% Number of literals : 26 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ c_lessequals(v_sko__upX(u),v,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v),c_Message_Oparts(c_insert(u,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV283-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_lessequals(c_plus(u,v,tc_nat),w,tc_nat)
| c_lessequals(v,w,tc_nat) ),
file('SWV283-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_lessequals(c_plus(u,v,tc_nat),w,tc_nat)
| c_lessequals(u,w,tc_nat) ),
file('SWV283-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ c_lessequals(v_x,u,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(u),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('SWV283-1.p',unknown),
[] ).
cnf(37,axiom,
( c_lessequals(u,v_xd(u),tc_nat)
| c_lessequals(v,v_xd(v),tc_nat) ),
file('SWV283-1.p',unknown),
[] ).
cnf(42,axiom,
( c_in(c_Message_Omsg_ONonce(v_xd(u)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(u)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(v)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(v)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV283-1.p',unknown),
[] ).
cnf(1480,plain,
c_lessequals(u,v_xd(u),tc_nat),
inference(con,[status(thm)],[37]),
[iquote('0:Con:37.1')] ).
cnf(1481,plain,
( c_in(c_Message_Omsg_ONonce(v_xd(u)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(u)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(con,[status(thm)],[42]),
[iquote('0:Con:42.2')] ).
cnf(1692,plain,
c_lessequals(u,v_xd(c_plus(u,v,tc_nat)),tc_nat),
inference(res,[status(thm),theory(equality)],[1480,4]),
[iquote('0:Res:1480.0,4.0')] ).
cnf(1704,plain,
c_lessequals(u,v_xd(c_plus(v,u,tc_nat)),tc_nat),
inference(res,[status(thm),theory(equality)],[1480,3]),
[iquote('0:Res:1480.0,3.0')] ).
cnf(1716,plain,
c_lessequals(u,v_xd(c_plus(v,c_plus(u,w,tc_nat),tc_nat)),tc_nat),
inference(res,[status(thm),theory(equality)],[1704,4]),
[iquote('0:Res:1704.0,4.0')] ).
cnf(4988,plain,
( ~ c_lessequals(v_sko__upX(v_xc),v_xd(u),tc_nat)
| c_in(c_Message_Omsg_ONonce(v_xd(u)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[1481,2]),
[iquote('0:Res:1481.1,2.1')] ).
cnf(12405,plain,
( ~ c_lessequals(v_sko__upX(v_xc),v_xd(u),tc_nat)
| ~ c_lessequals(v_x,v_xd(u),tc_nat) ),
inference(res,[status(thm),theory(equality)],[4988,33]),
[iquote('0:Res:4988.1,33.1')] ).
cnf(12408,plain,
~ c_lessequals(v_x,v_xd(c_plus(v_sko__upX(v_xc),u,tc_nat)),tc_nat),
inference(res,[status(thm),theory(equality)],[1692,12405]),
[iquote('0:Res:1692.0,12405.0')] ).
cnf(12414,plain,
$false,
inference(unc,[status(thm)],[12408,1716]),
[iquote('0:UnC:12408.0,1716.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV283-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n006.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 : 600
% 0.13/0.35 % DateTime : Wed Jun 15 07:52:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 10.25/10.48
% 10.25/10.48 SPASS V 3.9
% 10.25/10.48 SPASS beiseite: Proof found.
% 10.25/10.48 % SZS status Theorem
% 10.25/10.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.25/10.48 SPASS derived 9810 clauses, backtracked 0 clauses, performed 0 splits and kept 7628 clauses.
% 10.25/10.48 SPASS allocated 89028 KBytes.
% 10.25/10.48 SPASS spent 0:00:09.72 on the problem.
% 10.25/10.48 0:00:00.09 for the input.
% 10.25/10.48 0:00:00.00 for the FLOTTER CNF translation.
% 10.25/10.48 0:00:00.22 for inferences.
% 10.25/10.48 0:00:00.00 for the backtracking.
% 10.25/10.48 0:00:09.09 for the reduction.
% 10.25/10.48
% 10.25/10.48
% 10.25/10.48 Here is a proof with depth 3, length 15 :
% 10.25/10.48 % SZS output start Refutation
% See solution above
% 10.25/10.48 Formulae used in the proof : cls_Message_Omsg__Nonce__supply_0 cls_Nat_Oadd__leE_0 cls_Nat_Oadd__leE_1 cls_conjecture_0 cls_conjecture_4 cls_conjecture_9
% 10.25/10.48
%------------------------------------------------------------------------------