TSTP Solution File: SWV283-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 0.19s 0.41s
% Output : Refutation 0.19s
% 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(1,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('SWV283-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_lessequals(c_plus(u,v,tc_nat),w,tc_nat)
| c_lessequals(v,w,tc_nat) ),
file('SWV283-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_lessequals(c_plus(u,v,tc_nat),w,tc_nat)
| c_lessequals(u,w,tc_nat) ),
file('SWV283-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_lessequals(v_x,u,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(u),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('SWV283-2.p',unknown),
[] ).
cnf(5,axiom,
( c_lessequals(u,v_xd(u),tc_nat)
| c_lessequals(v,v_xd(v),tc_nat) ),
file('SWV283-2.p',unknown),
[] ).
cnf(6,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('SWV283-2.p',unknown),
[] ).
cnf(7,plain,
c_lessequals(u,v_xd(u),tc_nat),
inference(con,[status(thm)],[5]),
[iquote('0:Con:5.1')] ).
cnf(8,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)],[6]),
[iquote('0:Con:6.2')] ).
cnf(9,plain,
c_lessequals(u,v_xd(c_plus(u,v,tc_nat)),tc_nat),
inference(res,[status(thm),theory(equality)],[7,3]),
[iquote('0:Res:7.0,3.0')] ).
cnf(11,plain,
c_lessequals(u,v_xd(c_plus(v,u,tc_nat)),tc_nat),
inference(res,[status(thm),theory(equality)],[7,2]),
[iquote('0:Res:7.0,2.0')] ).
cnf(14,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)],[11,3]),
[iquote('0:Res:11.0,3.0')] ).
cnf(29,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)],[8,1]),
[iquote('0:Res:8.1,1.1')] ).
cnf(30,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)],[29,4]),
[iquote('0:Res:29.1,4.1')] ).
cnf(32,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)],[9,30]),
[iquote('0:Res:9.0,30.0')] ).
cnf(41,plain,
$false,
inference(unc,[status(thm)],[32,14]),
[iquote('0:UnC:32.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 06:44:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 32 clauses, backtracked 0 clauses, performed 0 splits and kept 38 clauses.
% 0.19/0.41 SPASS allocated 63161 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 3, length 15 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 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
% 0.19/0.41
%------------------------------------------------------------------------------