TSTP Solution File: SWV253-2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV253-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 20:30:41 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 30 ( 13 unt; 1 nHn; 28 RR)
% Number of literals : 54 ( 53 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( v_K != v_K_H
| c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
| v_K = v_K_H ) ).
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_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,$fot(v_K_H))]]) ).
cnf(refute_0_1,plain,
v_K = v_K,
introduced(tautology,[refl,[$fot(v_K)]]) ).
cnf(refute_0_2,plain,
( v_K != v_K
| v_K != v_K_H
| v_K_H = v_K ),
introduced(tautology,[equality,[$cnf( $equal(v_K,v_K) ),[0],$fot(v_K_H)]]) ).
cnf(refute_0_3,plain,
( v_K != v_K_H
| v_K_H = v_K ),
inference(resolve,[$cnf( $equal(v_K,v_K) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
c_Message_OinvKey(v_K_H) = c_Message_OinvKey(v_K_H),
introduced(tautology,[refl,[$fot(c_Message_OinvKey(v_K_H))]]) ).
cnf(refute_0_5,plain,
( c_Message_OinvKey(v_K_H) != c_Message_OinvKey(v_K_H)
| v_K_H != v_K
| c_Message_OinvKey(v_K_H) = c_Message_OinvKey(v_K) ),
introduced(tautology,[equality,[$cnf( $equal(c_Message_OinvKey(v_K_H),c_Message_OinvKey(v_K_H)) ),[1,0],$fot(v_K)]]) ).
cnf(refute_0_6,plain,
( v_K_H != v_K
| c_Message_OinvKey(v_K_H) = c_Message_OinvKey(v_K) ),
inference(resolve,[$cnf( $equal(c_Message_OinvKey(v_K_H),c_Message_OinvKey(v_K_H)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( v_K != v_K_H
| c_Message_OinvKey(v_K_H) = c_Message_OinvKey(v_K) ),
inference(resolve,[$cnf( $equal(v_K_H,v_K) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K)
| c_Message_OinvKey(v_K_H) != c_Message_OinvKey(v_K)
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Message_OinvKey(v_K),c_Message_OinvKey(v_K_H)) ),[1],$fot(c_Message_OinvKey(v_K))]]) ).
cnf(refute_0_9,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K)
| v_K != v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
inference(resolve,[$cnf( $equal(c_Message_OinvKey(v_K_H),c_Message_OinvKey(v_K)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K)
| v_K != v_K_H ),
inference(resolve,[$cnf( $equal(c_Message_OinvKey(v_K),c_Message_OinvKey(v_K_H)) )],[refute_0_9,cls_conjecture_0]) ).
cnf(refute_0_11,plain,
c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K),
introduced(tautology,[refl,[$fot(c_Message_OinvKey(v_K))]]) ).
cnf(refute_0_12,plain,
v_K != v_K_H,
inference(resolve,[$cnf( $equal(c_Message_OinvKey(v_K),c_Message_OinvKey(v_K)) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H),
inference(resolve,[$cnf( $equal(v_K,v_K_H) )],[cls_conjecture_1,refute_0_12]) ).
cnf(refute_0_14,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_15,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_16,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| c_Message_OinvKey(v_K_H) = c_Message_OinvKey(v_K) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(c_Message_OinvKey(v_K))),bind(Y,$fot(c_Message_OinvKey(v_K_H)))]]) ).
cnf(refute_0_18,plain,
c_Message_OinvKey(v_K_H) = c_Message_OinvKey(v_K),
inference(resolve,[$cnf( $equal(c_Message_OinvKey(v_K),c_Message_OinvKey(v_K_H)) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
( c_Message_OinvKey(c_Message_OinvKey(v_K_H)) != v_K_H
| c_Message_OinvKey(v_K_H) != c_Message_OinvKey(v_K)
| c_Message_OinvKey(c_Message_OinvKey(v_K)) = v_K_H ),
introduced(tautology,[equality,[$cnf( $equal(c_Message_OinvKey(c_Message_OinvKey(v_K_H)),v_K_H) ),[0,0],$fot(c_Message_OinvKey(v_K))]]) ).
cnf(refute_0_20,plain,
( c_Message_OinvKey(c_Message_OinvKey(v_K_H)) != v_K_H
| c_Message_OinvKey(c_Message_OinvKey(v_K)) = v_K_H ),
inference(resolve,[$cnf( $equal(c_Message_OinvKey(v_K_H),c_Message_OinvKey(v_K)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
c_Message_OinvKey(c_Message_OinvKey(v_K)) = v_K_H,
inference(resolve,[$cnf( $equal(c_Message_OinvKey(c_Message_OinvKey(v_K_H)),v_K_H) )],[refute_0_0,refute_0_20]) ).
cnf(refute_0_22,plain,
c_Message_OinvKey(c_Message_OinvKey(v_K)) = v_K,
inference(subst,[],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0:[bind(V_y,$fot(v_K))]]) ).
cnf(refute_0_23,plain,
( c_Message_OinvKey(c_Message_OinvKey(v_K)) != v_K
| c_Message_OinvKey(c_Message_OinvKey(v_K)) != v_K_H
| v_K = v_K_H ),
introduced(tautology,[equality,[$cnf( $equal(c_Message_OinvKey(c_Message_OinvKey(v_K)),v_K_H) ),[0],$fot(v_K)]]) ).
cnf(refute_0_24,plain,
( c_Message_OinvKey(c_Message_OinvKey(v_K)) != v_K_H
| v_K = v_K_H ),
inference(resolve,[$cnf( $equal(c_Message_OinvKey(c_Message_OinvKey(v_K)),v_K) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
v_K = v_K_H,
inference(resolve,[$cnf( $equal(c_Message_OinvKey(c_Message_OinvKey(v_K)),v_K_H) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( $equal(v_K,v_K_H) )],[refute_0_25,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV253-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n010.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 : Wed Jun 15 18:46:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------