TSTP Solution File: SWV278-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV278-2 : 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 21:41:59 EDT 2022
% Result : Unsatisfiable 0.12s 0.40s
% Output : Refutation 0.12s
% 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(1,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV278-2.p',unknown),
[] ).
cnf(2,axiom,
equal(c_Message_OinvKey(c_Message_OinvKey(u)),u),
file('SWV278-2.p',unknown),
[] ).
cnf(3,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('SWV278-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg),
file('SWV278-2.p',unknown),
[] ).
cnf(5,plain,
~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[2,3]),
[iquote('0:Rew:2.0,3.0')] ).
cnf(6,plain,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[4,1]),
[iquote('0:Res:4.0,1.0')] ).
cnf(8,plain,
$false,
inference(mrr,[status(thm)],[6,5]),
[iquote('0:MRR:6.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % 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 : Thu Jun 16 01:20:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.40
% 0.12/0.40 SPASS V 3.9
% 0.12/0.40 SPASS beiseite: Proof found.
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.12/0.40 SPASS allocated 63081 KBytes.
% 0.12/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.12/0.40 0:00:00.03 for the input.
% 0.12/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.40 0:00:00.00 for inferences.
% 0.12/0.40 0:00:00.00 for the backtracking.
% 0.12/0.40 0:00:00.00 for the reduction.
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 Here is a proof with depth 1, length 7 :
% 0.12/0.40 % SZS output start Refutation
% See solution above
% 0.12/0.40 Formulae used in the proof : cls_Message_Oanalz__conj__parts_0 cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0 cls_conjecture_1 cls_conjecture_3
% 0.12/0.40
%------------------------------------------------------------------------------