%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV789-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 21:45:10 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 5 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(223,axiom,
~ c_in(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),
file('SWV789-1.p',unknown),
[] ).
cnf(367,axiom,
equal(c_List_Oset(c_List_Olist_ONil(u),u),c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))),
file('SWV789-1.p',unknown),
[] ).
cnf(630,axiom,
c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
file('SWV789-1.p',unknown),
[] ).
cnf(640,plain,
c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent),
inference(rew,[status(thm),theory(equality)],[367,630]),
[iquote('0:Rew:367.0,630.0')] ).
cnf(641,plain,
$false,
inference(mrr,[status(thm)],[640,223]),
[iquote('0:MRR:640.0,223.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV789-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 21:51:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.50
% 0.18/0.50 SPASS V 3.9
% 0.18/0.50 SPASS beiseite: Proof found.
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 183 clauses.
% 0.18/0.50 SPASS allocated 76770 KBytes.
% 0.18/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.18/0.50 0:00:00.06 for the input.
% 0.18/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.50 0:00:00.00 for inferences.
% 0.18/0.50 0:00:00.00 for the backtracking.
% 0.18/0.50 0:00:00.03 for the reduction.
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 Here is a proof with depth 0, length 5 :
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 Formulae used in the proof : cls_ex__in__conv_0 cls_set__empty_1 cls_conjecture_3
% 0.18/0.50
%------------------------------------------------------------------------------