%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV284-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:47:10 PM UTC 2026
% Result : Unsatisfiable 28.98s 4.18s
% Output : CNFRefutation 22.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 1 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 : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1437,axiom,
! [V_U,V_msg] :
( ~ c_lessequals(v_sko__upX(V_msg),V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(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(f1438,axiom,
! [V_m,V_k,V_n] :
( c_lessequals(V_k,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1439,axiom,
! [V_m,V_k,V_n] :
( c_lessequals(V_m,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),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_lessequals(v_N,V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1448,negated_conjecture,
! [V_U] :
( 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_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3028,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__upX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1437]) ).
fof(f3029,plain,
! [V_k,V_n] :
( c_lessequals(V_k,V_n,tc_nat)
| ! [V_m] : ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
inference(miniscoping,[status(thm)],[f1438]) ).
fof(f3030,plain,
! [X0,X1,X2] :
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f3029]) ).
fof(f3031,plain,
! [V_m,V_n] :
( c_lessequals(V_m,V_n,tc_nat)
| ! [V_k] : ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
inference(miniscoping,[status(thm)],[f1439]) ).
fof(f3032,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f3031]) ).
fof(f3041,plain,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
inference(cnf_transformation,[status(thm)],[f1446]) ).
fof(f3042,plain,
! [X0] :
( ~ c_lessequals(v_N,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1447]) ).
fof(f3043,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1448]) ).
fof(f23480,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f3030,f3041]) ).
fof(f23736,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f3032,f3041]) ).
fof(f23747,plain,
! [X0,X1,X2] : c_lessequals(X0,v_x(c_plus(c_plus(X0,X1,tc_nat),X2,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f23736,f3032]) ).
fof(f23888,plain,
! [X0,X1,X2,X3] : c_lessequals(X0,v_x(c_plus(c_plus(c_plus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f23747,f3032]) ).
fof(f24441,plain,
! [X0,X1,X2,X3,X4] : c_lessequals(X0,v_x(c_plus(c_plus(c_plus(c_plus(X0,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f23888,f3032]) ).
fof(f28783,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat) ),
inference(resolution,[status(thm)],[f3028,f3043]) ).
fof(f28837,plain,
! [X0] :
( ~ c_lessequals(v_N,v_x(X0),tc_nat)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat) ),
inference(resolution,[status(thm)],[f28783,f3042]) ).
fof(f28881,plain,
! [X0] : ~ c_lessequals(v_N,v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat)),tc_nat),
inference(resolution,[status(thm)],[f28837,f23480]) ).
fof(f28884,plain,
$false,
inference(resolution,[status(thm)],[f28881,f24441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV284-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 08:38:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 28.98/4.18 % Refutation found
% 28.98/4.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 28.98/4.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.37/5.43 % Elapsed time: 4.841453 seconds
% 19.37/5.43 % CPU time: 29.435823 seconds
% 19.37/5.43 % Total memory used: 630.139 MB
% 19.37/5.43 % Net memory used: 593.971 MB
%------------------------------------------------------------------------------