TSTP Solution File: SWV281-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:41:10 EDT 2023
% Result : Unsatisfiable 0.15s 0.31s
% Output : CNFRefutation 0.15s
% 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] :
( V_U = V_V
| c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg) ),
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] :
( c_plus(V_m,V_k,tc_nat) != c_plus(V_n,V_k,tc_nat)
| V_m = V_n ),
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_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [V_U] :
( ! [V_V] :
( V_U = V_V
| c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg) )
| c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( X0 = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] : c_List_Olist_ONil != c_List_Olist_OCons(X0,X1,X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] : c_lessequals(X0,c_plus(X1,X0,tc_nat),tc_nat),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [V_m,V_n] :
( ! [V_k] : c_plus(V_m,V_k,tc_nat) != c_plus(V_n,V_k,tc_nat)
| V_m = V_n ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] :
( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,plain,
! [X0] : c_plus(c_0,X0,tc_nat) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X1),X0,tc_nat) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0] : c_lessequals(X0,X0,tc_nat),
inference(paramodulation,[status(thm)],[f13,f10]) ).
fof(f18,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| X0 = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f14,f8]) ).
fof(f20,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| X0 = X1
| ~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat) ),
inference(resolution,[status(thm)],[f18,f14]) ).
fof(f22,plain,
! [X0] :
( v_sko__urX(v_evs) = X0
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(resolution,[status(thm)],[f20,f15]) ).
fof(f23,plain,
! [X0] : v_sko__urX(v_evs) = c_plus(X0,v_sko__urX(v_evs_H),tc_nat),
inference(resolution,[status(thm)],[f22,f10]) ).
fof(f24,plain,
v_sko__urX(v_evs) = v_sko__urX(v_evs_H),
inference(resolution,[status(thm)],[f22,f15]) ).
fof(f28,plain,
! [X0] : v_sko__urX(v_evs_H) = c_plus(X0,v_sko__urX(v_evs_H),tc_nat),
inference(forward_demodulation,[status(thm)],[f24,f23]) ).
fof(f29,plain,
! [X0,X1] :
( c_plus(X0,v_sko__urX(v_evs_H),tc_nat) != v_sko__urX(v_evs_H)
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f28,f12]) ).
fof(f30,plain,
! [X0,X1] :
( v_sko__urX(v_evs_H) != v_sko__urX(v_evs_H)
| X0 = X1 ),
inference(forward_demodulation,[status(thm)],[f28,f29]) ).
fof(f31,plain,
! [X0,X1] : X0 = X1,
inference(trivial_equality_resolution,[status(esa)],[f30]) ).
fof(f36,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f9,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n025.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:50:27 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.15/0.31 % Refutation found
% 0.15/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.53 % Elapsed time: 0.010594 seconds
% 0.15/0.53 % CPU time: 0.011232 seconds
% 0.15/0.53 % Memory used: 3.593 MB
%------------------------------------------------------------------------------