TSTP Solution File: SWV253-2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV253-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 21:41:50 EDT 2022
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 10 unt; 1 nHn; 13 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(c_Message_OinvKey(c_Message_OinvKey(u)),u),
file('SWV253-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ equal(v_K_H,v_K)
| ~ equal(c_Message_OinvKey(v_K_H),c_Message_OinvKey(v_K)) ),
file('SWV253-2.p',unknown),
[] ).
cnf(3,axiom,
( equal(v_K_H,v_K)
| equal(c_Message_OinvKey(v_K_H),c_Message_OinvKey(v_K)) ),
file('SWV253-2.p',unknown),
[] ).
cnf(6,plain,
equal(v_K_H,v_K),
inference(spt,[spt(split,[position(s1)])],[3]),
[iquote('1:Spt:3.0')] ).
cnf(7,plain,
( ~ equal(v_K_H,v_K)
| ~ equal(c_Message_OinvKey(v_K),c_Message_OinvKey(v_K)) ),
inference(rew,[status(thm),theory(equality)],[6,2]),
[iquote('1:Rew:6.0,2.1')] ).
cnf(8,plain,
~ equal(v_K_H,v_K),
inference(obv,[status(thm),theory(equality)],[7]),
[iquote('1:Obv:7.1')] ).
cnf(9,plain,
~ equal(v_K,v_K),
inference(rew,[status(thm),theory(equality)],[6,8]),
[iquote('1:Rew:6.0,8.0')] ).
cnf(10,plain,
$false,
inference(obv,[status(thm),theory(equality)],[9]),
[iquote('1:Obv:9.0')] ).
cnf(11,plain,
~ equal(v_K_H,v_K),
inference(spt,[spt(split,[position(sa)])],[10,6]),
[iquote('1:Spt:10.0,3.0,6.0')] ).
cnf(12,plain,
equal(c_Message_OinvKey(v_K_H),c_Message_OinvKey(v_K)),
inference(spt,[spt(split,[position(s2)])],[3]),
[iquote('1:Spt:10.0,3.1')] ).
cnf(13,plain,
equal(c_Message_OinvKey(c_Message_OinvKey(v_K)),v_K_H),
inference(spr,[status(thm),theory(equality)],[12,1]),
[iquote('1:SpR:12.0,1.0')] ).
cnf(15,plain,
equal(v_K_H,v_K),
inference(rew,[status(thm),theory(equality)],[1,13]),
[iquote('1:Rew:1.0,13.0')] ).
cnf(16,plain,
$false,
inference(mrr,[status(thm)],[15,11]),
[iquote('1:MRR:15.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV253-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 15 19:06:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.42
% 0.21/0.42 SPASS V 3.9
% 0.21/0.42 SPASS beiseite: Proof found.
% 0.21/0.42 % SZS status Theorem
% 0.21/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 SPASS derived 6 clauses, backtracked 3 clauses, performed 1 splits and kept 8 clauses.
% 0.21/0.42 SPASS allocated 63082 KBytes.
% 0.21/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.21/0.42 0:00:00.04 for the input.
% 0.21/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.42 0:00:00.00 for inferences.
% 0.21/0.42 0:00:00.00 for the backtracking.
% 0.21/0.42 0:00:00.00 for the reduction.
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 Here is a proof with depth 2, length 13 :
% 0.21/0.42 % SZS output start Refutation
% See solution above
% 0.21/0.42 Formulae used in the proof : cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0 cls_conjecture_0 cls_conjecture_1
% 0.21/0.42
%------------------------------------------------------------------------------