%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:47:09 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.35s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 43 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [V_U,V_V] :
( c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| V_U = V_V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_a_H,V_list_H,T_a] : c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_n,V_m] : c_lessequals(V_n,c_plus(V_m,V_n,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_m,V_k,V_n] :
( V_m = V_n
| c_plus(V_m,V_k,tc_nat) != c_plus(V_n,V_k,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_y] : c_plus(c_0,V_y,tc_nat) = V_y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_U,V_evs] :
( ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [V_U] :
( c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg)
| ! [V_V] :
( c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| V_U = V_V ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] : c_List_Olist_ONil != c_List_Olist_OCons(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] : c_lessequals(X0,c_plus(X1,X0,tc_nat),tc_nat),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [V_m,V_n] :
( V_m = V_n
| ! [V_k] : c_plus(V_m,V_k,tc_nat) != c_plus(V_n,V_k,tc_nat) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] :
( X0 = X2
| c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0] : c_plus(c_0,X0,tc_nat) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0] : c_lessequals(X0,X0,tc_nat),
inference(paramodulation,[status(thm)],[f13,f10]) ).
fof(f30,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
| X1 = X0
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(resolution,[status(thm)],[f14,f8]) ).
fof(f31,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat)
| X1 = X0
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(resolution,[status(thm)],[f30,f14]) ).
fof(f33,plain,
! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| X0 = v_sko__urX(v_evs_H) ),
inference(resolution,[status(thm)],[f31,f15]) ).
fof(f34,plain,
! [X0] : c_plus(X0,v_sko__urX(v_evs),tc_nat) = v_sko__urX(v_evs_H),
inference(resolution,[status(thm)],[f33,f10]) ).
fof(f35,plain,
v_sko__urX(v_evs) = v_sko__urX(v_evs_H),
inference(resolution,[status(thm)],[f33,f15]) ).
fof(f39,plain,
! [X0] : c_plus(X0,v_sko__urX(v_evs),tc_nat) = v_sko__urX(v_evs),
inference(forward_demodulation,[status(thm)],[f35,f34]) ).
fof(f44,plain,
! [X0,X1] :
( X0 = X1
| c_plus(X0,v_sko__urX(v_evs),tc_nat) != v_sko__urX(v_evs) ),
inference(paramodulation,[status(thm)],[f39,f12]) ).
fof(f54,plain,
! [X0,X1] :
( X0 = X1
| v_sko__urX(v_evs) != v_sko__urX(v_evs) ),
inference(forward_demodulation,[status(thm)],[f39,f44]) ).
fof(f55,plain,
! [X0,X1] : X0 = X1,
inference(trivial_equality_resolution,[status(thm)],[f54]) ).
fof(f61,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f9,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.33 % Computer : n007.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Sep 21 08:35:50 UTC 2026
% 0.09/0.33 % CPUTime :
% 0.09/0.34 % Drodi V4.1.1
% 0.09/0.35 % Refutation found
% 0.09/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.38 % Elapsed time: 0.036827 seconds
% 0.09/0.38 % CPU time: 0.067596 seconds
% 0.09/0.38 % Total memory used: 9.517 MB
% 0.09/0.38 % Net memory used: 9.494 MB
%------------------------------------------------------------------------------