%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV284-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 : Fri Jul 25 04:46:30 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
c_lessequals(X0,v_x(X0),tc_nat),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_lessequals(c_plus(v_sko__upX(v_msg),v_N,tc_nat),v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat)),tc_nat),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(cnf,[status(esa)],[cls_Nat_Oadd__leE_0]) ).
cnf(l1,plain,
( ~ c_lessequals(c_plus(v_sko__upX(v_msg),v_N,tc_nat),v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat)),tc_nat)
| c_lessequals(v_N,v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat)),tc_nat) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ c_lessequals(v_N,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l2,plain,
( ~ c_lessequals(v_N,v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat)),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( 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,[status(esa)],[cls_conjecture_2]) ).
cnf(l7,plain,
( c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat))),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ c_lessequals(v_sko__upX(X0),X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf,[status(esa)],[cls_Message_Omsg__Nonce__supply_0]) ).
cnf(l8,plain,
( ~ c_lessequals(v_sko__upX(v_msg),v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat)),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat))),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X0,X2,tc_nat) ),
inference(cnf,[status(esa)],[cls_Nat_Oadd__leE_1]) ).
cnf(l9,plain,
( ~ c_lessequals(c_plus(v_sko__upX(v_msg),v_N,tc_nat),v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat)),tc_nat)
| c_lessequals(v_sko__upX(v_msg),v_x(c_plus(v_sko__upX(v_msg),v_N,tc_nat)),tc_nat) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l8,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV284-2 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 08:43:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------