TSTP Solution File: SWV284-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV284-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 20:30:52 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 26 ( 14 unt; 1 nHn; 14 RR)
% Number of literals : 38 ( 0 equ; 17 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 48 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(V_U,v_x(V_U),tc_nat) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,V_U,tc_nat) ) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ) ).
cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(V_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(V_msg),V_U,tc_nat) ) ).
cnf(cls_Nat_Oadd__leE_0,axiom,
( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_k,V_n,tc_nat) ) ).
cnf(cls_Nat_Oadd__leE_1,axiom,
( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_m,V_n,tc_nat) ) ).
cnf(refute_0_0,plain,
( ~ c_in(c_Message_Omsg_ONonce(v_x(c_plus(c_plus(v_sko__upX(v_msg),X_20,tc_nat),X_21,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,v_x(c_plus(c_plus(v_sko__upX(v_msg),X_20,tc_nat),X_21,tc_nat)),tc_nat) ),
inference(subst,[],[cls_conjecture_1:[bind(V_U,$fot(v_x(c_plus(c_plus(v_sko__upX(v_msg),X_20,tc_nat),X_21,tc_nat))))]]) ).
cnf(refute_0_1,plain,
( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),v_x(c_plus(c_plus(V_m,V_k,tc_nat),X_6,tc_nat)),tc_nat)
| c_lessequals(V_m,v_x(c_plus(c_plus(V_m,V_k,tc_nat),X_6,tc_nat)),tc_nat) ),
inference(subst,[],[cls_Nat_Oadd__leE_1:[bind(V_n,$fot(v_x(c_plus(c_plus(V_m,V_k,tc_nat),X_6,tc_nat))))]]) ).
cnf(refute_0_2,plain,
c_lessequals(c_plus(X_4,X_3,tc_nat),v_x(c_plus(X_4,X_3,tc_nat)),tc_nat),
inference(subst,[],[cls_conjecture_0:[bind(V_U,$fot(c_plus(X_4,X_3,tc_nat)))]]) ).
cnf(refute_0_3,plain,
( ~ c_lessequals(c_plus(X_4,X_3,tc_nat),v_x(c_plus(X_4,X_3,tc_nat)),tc_nat)
| c_lessequals(X_4,v_x(c_plus(X_4,X_3,tc_nat)),tc_nat) ),
inference(subst,[],[cls_Nat_Oadd__leE_1:[bind(V_k,$fot(X_3)),bind(V_m,$fot(X_4)),bind(V_n,$fot(v_x(c_plus(X_4,X_3,tc_nat))))]]) ).
cnf(refute_0_4,plain,
c_lessequals(X_4,v_x(c_plus(X_4,X_3,tc_nat)),tc_nat),
inference(resolve,[$cnf( c_lessequals(c_plus(X_4,X_3,tc_nat),v_x(c_plus(X_4,X_3,tc_nat)),tc_nat) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
c_lessequals(c_plus(V_m,V_k,tc_nat),v_x(c_plus(c_plus(V_m,V_k,tc_nat),X_6,tc_nat)),tc_nat),
inference(subst,[],[refute_0_4:[bind(X_3,$fot(X_6)),bind(X_4,$fot(c_plus(V_m,V_k,tc_nat)))]]) ).
cnf(refute_0_6,plain,
c_lessequals(V_m,v_x(c_plus(c_plus(V_m,V_k,tc_nat),X_6,tc_nat)),tc_nat),
inference(resolve,[$cnf( c_lessequals(c_plus(V_m,V_k,tc_nat),v_x(c_plus(c_plus(V_m,V_k,tc_nat),X_6,tc_nat)),tc_nat) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
c_lessequals(v_sko__upX(v_msg),v_x(c_plus(c_plus(v_sko__upX(v_msg),V_k,tc_nat),X_6,tc_nat)),tc_nat),
inference(subst,[],[refute_0_6:[bind(V_m,$fot(v_sko__upX(v_msg)))]]) ).
cnf(refute_0_8,plain,
( ~ c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(V_U),tc_nat) ),
inference(subst,[],[cls_Message_Omsg__Nonce__supply_0:[bind(V_U,$fot(v_x(V_U))),bind(V_msg,$fot(v_msg))]]) ).
cnf(refute_0_9,plain,
( ~ c_lessequals(v_sko__upX(v_msg),v_x(V_U),tc_nat)
| c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )],[cls_conjecture_2,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ c_lessequals(v_sko__upX(v_msg),v_x(c_plus(c_plus(v_sko__upX(v_msg),V_k,tc_nat),X_6,tc_nat)),tc_nat)
| c_in(c_Message_Omsg_ONonce(v_x(c_plus(c_plus(v_sko__upX(v_msg),V_k,tc_nat),X_6,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(subst,[],[refute_0_9:[bind(V_U,$fot(c_plus(c_plus(v_sko__upX(v_msg),V_k,tc_nat),X_6,tc_nat)))]]) ).
cnf(refute_0_11,plain,
c_in(c_Message_Omsg_ONonce(v_x(c_plus(c_plus(v_sko__upX(v_msg),V_k,tc_nat),X_6,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg),
inference(resolve,[$cnf( c_lessequals(v_sko__upX(v_msg),v_x(c_plus(c_plus(v_sko__upX(v_msg),V_k,tc_nat),X_6,tc_nat)),tc_nat) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
c_in(c_Message_Omsg_ONonce(v_x(c_plus(c_plus(v_sko__upX(v_msg),X_20,tc_nat),X_21,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg),
inference(subst,[],[refute_0_11:[bind(V_k,$fot(X_20)),bind(X_6,$fot(X_21))]]) ).
cnf(refute_0_13,plain,
~ c_lessequals(v_N,v_x(c_plus(c_plus(v_sko__upX(v_msg),X_20,tc_nat),X_21,tc_nat)),tc_nat),
inference(resolve,[$cnf( c_in(c_Message_Omsg_ONonce(v_x(c_plus(c_plus(v_sko__upX(v_msg),X_20,tc_nat),X_21,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg) )],[refute_0_12,refute_0_0]) ).
cnf(refute_0_14,plain,
~ c_lessequals(v_N,v_x(c_plus(c_plus(v_sko__upX(v_msg),X_20,tc_nat),v_N,tc_nat)),tc_nat),
inference(subst,[],[refute_0_13:[bind(X_21,$fot(v_N))]]) ).
cnf(refute_0_15,plain,
c_lessequals(c_plus(X_30,X_29,tc_nat),v_x(c_plus(X_30,X_29,tc_nat)),tc_nat),
inference(subst,[],[cls_conjecture_0:[bind(V_U,$fot(c_plus(X_30,X_29,tc_nat)))]]) ).
cnf(refute_0_16,plain,
( ~ c_lessequals(c_plus(X_30,X_29,tc_nat),v_x(c_plus(X_30,X_29,tc_nat)),tc_nat)
| c_lessequals(X_29,v_x(c_plus(X_30,X_29,tc_nat)),tc_nat) ),
inference(subst,[],[cls_Nat_Oadd__leE_0:[bind(V_k,$fot(X_29)),bind(V_m,$fot(X_30)),bind(V_n,$fot(v_x(c_plus(X_30,X_29,tc_nat))))]]) ).
cnf(refute_0_17,plain,
c_lessequals(X_29,v_x(c_plus(X_30,X_29,tc_nat)),tc_nat),
inference(resolve,[$cnf( c_lessequals(c_plus(X_30,X_29,tc_nat),v_x(c_plus(X_30,X_29,tc_nat)),tc_nat) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
c_lessequals(v_N,v_x(c_plus(c_plus(v_sko__upX(v_msg),X_20,tc_nat),v_N,tc_nat)),tc_nat),
inference(subst,[],[refute_0_17:[bind(X_29,$fot(v_N)),bind(X_30,$fot(c_plus(v_sko__upX(v_msg),X_20,tc_nat)))]]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( c_lessequals(v_N,v_x(c_plus(c_plus(v_sko__upX(v_msg),X_20,tc_nat),v_N,tc_nat)),tc_nat) )],[refute_0_18,refute_0_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV284-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n014.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 10:20:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------