TSTP Solution File: SWV284-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV284-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 : 300s
% DateTime : Wed May 31 12:41:11 EDT 2023
% Result : Unsatisfiable 17.30s 2.69s
% Output : CNFRefutation 18.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 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 : 60 (; 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1437,axiom,
! [V_U,V_msg] :
( ~ 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1438,axiom,
! [V_m,V_k,V_n] :
( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_k,V_n,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1439,axiom,
! [V_m,V_k,V_n] :
( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_m,V_n,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1446,negated_conjecture,
! [V_U] : c_lessequals(V_U,v_x(V_U),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1447,negated_conjecture,
! [V_U] :
( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,V_U,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1448,negated_conjecture,
! [V_U] :
( 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3028,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X1),X0,tc_nat) ),
inference(cnf_transformation,[status(esa)],[f1437]) ).
fof(f3029,plain,
! [V_k,V_n] :
( ! [V_m] : ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_k,V_n,tc_nat) ),
inference(miniscoping,[status(esa)],[f1438]) ).
fof(f3030,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(cnf_transformation,[status(esa)],[f3029]) ).
fof(f3031,plain,
! [V_m,V_n] :
( ! [V_k] : ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
| c_lessequals(V_m,V_n,tc_nat) ),
inference(miniscoping,[status(esa)],[f1439]) ).
fof(f3032,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X0,X2,tc_nat) ),
inference(cnf_transformation,[status(esa)],[f3031]) ).
fof(f3041,plain,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
inference(cnf_transformation,[status(esa)],[f1446]) ).
fof(f3042,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,X0,tc_nat) ),
inference(cnf_transformation,[status(esa)],[f1447]) ).
fof(f3043,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1448]) ).
fof(f49596,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f3030,f3041]) ).
fof(f49605,plain,
! [X0,X1,X2] : c_lessequals(X0,v_x(c_plus(X1,c_plus(X0,X2,tc_nat),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f3032,f49596]) ).
fof(f49606,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f3032,f3041]) ).
fof(f49739,plain,
! [X0,X1,X2,X3] : c_lessequals(X0,v_x(c_plus(X1,c_plus(c_plus(X0,X2,tc_nat),X3,tc_nat),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f49605,f3032]) ).
fof(f50186,plain,
! [X0,X1,X2,X3,X4] : c_lessequals(X0,v_x(c_plus(X1,c_plus(c_plus(c_plus(X0,X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f49739,f3032]) ).
fof(f50807,plain,
! [X0,X1,X2,X3,X4,X5] : c_lessequals(X0,v_x(c_plus(X1,c_plus(c_plus(c_plus(c_plus(X0,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f50186,f3032]) ).
fof(f54880,plain,
! [X0,X1,X2,X3,X4,X5,X6] : c_lessequals(X0,v_x(c_plus(X1,c_plus(c_plus(c_plus(c_plus(c_plus(X2,X0,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat),X6,tc_nat),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f50807,f3030]) ).
fof(f58987,plain,
! [X0] :
( ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3028,f3043]) ).
fof(f59152,plain,
! [X0] :
( ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat)
| ~ c_lessequals(v_N,v_x(X0),tc_nat) ),
inference(resolution,[status(thm)],[f58987,f3042]) ).
fof(f59239,plain,
! [X0] : ~ c_lessequals(v_N,v_x(c_plus(v_sko__upX(v_msg),X0,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f59152,f49606]) ).
fof(f59242,plain,
$false,
inference(resolution,[status(thm)],[f59239,f54880]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SWV284-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n022.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 : 300
% 0.12/0.33 % DateTime : Tue May 30 11:41:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % Drodi V3.5.1
% 17.30/2.69 % Refutation found
% 17.30/2.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.30/2.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.07/2.78 % Elapsed time: 2.433108 seconds
% 18.07/2.78 % CPU time: 17.942610 seconds
% 18.07/2.78 % Memory used: 299.469 MB
%------------------------------------------------------------------------------