TSTP Solution File: SWV278-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV278-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 20:30:50 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 23 ( 10 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg) ).
cnf(cls_Message_Oanalz__conj__parts_0,axiom,
( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y ).
cnf(refute_0_0,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_Oanalz__conj__parts_0:[bind(V_H,$fot(v_H)),bind(V_X,$fot(c_Message_Omsg_OKey(v_K_H)))]]) ).
cnf(refute_0_1,plain,
c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg) )],[cls_conjecture_3,refute_0_0]) ).
cnf(refute_0_2,plain,
c_Message_OinvKey(c_Message_OinvKey(v_K_H)) = v_K_H,
inference(subst,[],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0:[bind(V_y,$fot(v_K_H))]]) ).
cnf(refute_0_3,plain,
c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))) = c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),
introduced(tautology,[refl,[$fot(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))))]]) ).
cnf(refute_0_4,plain,
( c_Message_OinvKey(c_Message_OinvKey(v_K_H)) != v_K_H
| c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))) != c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H)))
| c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))) = c_Message_Omsg_OKey(v_K_H) ),
introduced(tautology,[equality,[$cnf( $equal(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H)))) ),[1,0],$fot(v_K_H)]]) ).
cnf(refute_0_5,plain,
( c_Message_OinvKey(c_Message_OinvKey(v_K_H)) != v_K_H
| c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))) = c_Message_Omsg_OKey(v_K_H) ),
inference(resolve,[$cnf( $equal(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H)))) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))) = c_Message_Omsg_OKey(v_K_H),
inference(resolve,[$cnf( $equal(c_Message_OinvKey(c_Message_OinvKey(v_K_H)),v_K_H) )],[refute_0_2,refute_0_5]) ).
cnf(refute_0_7,plain,
( c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))) != c_Message_Omsg_OKey(v_K_H)
| ~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg) ),[0],$fot(c_Message_Omsg_OKey(v_K_H))]]) ).
cnf(refute_0_8,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Omsg_OKey(v_K_H)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
~ c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg) )],[refute_0_8,cls_conjecture_1]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oparts(v_H),tc_Message_Omsg) )],[refute_0_1,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 01:07:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------