%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV278-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 21:41:59 EDT 2022
% Result : Unsatisfiable 1.45s 1.68s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg),
file('SWV278-1.p',unknown),
[] ).
cnf(8,axiom,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg),
file('SWV278-1.p',unknown),
[] ).
cnf(2749,axiom,
equal(c_Message_OinvKey(c_Message_OinvKey(u)),u),
file('SWV278-1.p',unknown),
[] ).
cnf(2861,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV278-1.p',unknown),
[] ).
cnf(2924,plain,
~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[2749,6]),
[iquote('0:Rew:2749.0,6.0')] ).
cnf(3117,plain,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[8,2861]),
[iquote('0:Res:8.0,2861.0')] ).
cnf(3232,plain,
$false,
inference(mrr,[status(thm)],[3117,2924]),
[iquote('0:MRR:3117.0,2924.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV278-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Wed Jun 15 02:20:03 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.45/1.68
% 1.45/1.68 SPASS V 3.9
% 1.45/1.68 SPASS beiseite: Proof found.
% 1.45/1.68 % SZS status Theorem
% 1.45/1.68 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.68 SPASS derived 47 clauses, backtracked 0 clauses, performed 0 splits and kept 2748 clauses.
% 1.45/1.68 SPASS allocated 80167 KBytes.
% 1.45/1.68 SPASS spent 0:00:01.24 on the problem.
% 1.45/1.68 0:00:00.22 for the input.
% 1.45/1.68 0:00:00.00 for the FLOTTER CNF translation.
% 1.45/1.68 0:00:00.00 for inferences.
% 1.45/1.68 0:00:00.00 for the backtracking.
% 1.45/1.68 0:00:00.69 for the reduction.
% 1.45/1.68
% 1.45/1.68
% 1.45/1.68 Here is a proof with depth 1, length 7 :
% 1.45/1.68 % SZS output start Refutation
% See solution above
% 1.45/1.68 Formulae used in the proof : cls_conjecture_1 cls_conjecture_3 cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0 cls_Message_Oanalz__conj__parts_0
% 1.45/1.68
%------------------------------------------------------------------------------