%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV841-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 02:49:39 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.78s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f287,axiom,
! [T_a,V_A] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f414,axiom,
! [T_a,V_a,V_C,V_D] :
( ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool))
| c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f423,axiom,
! [V_B,T_a,V_a] : c_lessequals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f436,axiom,
! [V_G,V_ts,T_a,V_ts_H] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a)
| ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f500,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f501,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1001,plain,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f1216,plain,
! [T_a,V_C,V_D] :
( ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool))
| ! [V_a] : c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool)) ),
inference(miniscoping,[status(thm)],[f414]) ).
fof(f1217,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X2,X3,tc_fun(X0,tc_bool))
| c_lessequals(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3),tc_fun(X0,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f1216]) ).
fof(f1232,plain,
! [X0,X1,X2] : c_lessequals(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X0),tc_fun(X1,tc_bool)),
inference(cnf_transformation,[status(thm)],[f423]) ).
fof(f1249,plain,
! [V_G,T_a,V_ts_H] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a)
| ! [V_ts] :
( ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) ) ),
inference(miniscoping,[status(thm)],[f436]) ).
fof(f1250,plain,
! [X0,X1,X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1249]) ).
fof(f1347,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f1348,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) ),
inference(cnf_transformation,[status(thm)],[f501]) ).
fof(f1406,plain,
! [X0] :
( ~ c_lessequals(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,X0,t_a) ),
inference(resolution,[status(thm)],[f1250,f1347]) ).
fof(f1422,plain,
! [X0] :
( ~ c_lessequals(X0,v_ts,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X0),t_a) ),
inference(resolution,[status(thm)],[f1406,f1217]) ).
fof(f1425,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a),
inference(resolution,[status(thm)],[f1406,f1232]) ).
fof(f1427,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(backward_subsumption_resolution,[status(thm)],[f1348,f1425]) ).
fof(f1488,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(resolution,[status(thm)],[f1422,f1001]) ).
fof(f1491,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1488,f1427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV841-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.71 % Computer : n006.cluster.edu
% 0.09/0.71 % Model : x86_64 x86_64
% 0.09/0.71 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.71 % Memory : 8046.5625MB
% 0.09/0.71 % OS : Linux 6.8.0-71-generic
% 0.09/0.71 % CPULimit : 300
% 0.09/0.71 % WCLimit : 300
% 0.09/0.71 % DateTime : Mon Sep 21 09:28:15 UTC 2026
% 0.09/0.72 % CPUTime :
% 0.09/0.76 % Drodi V4.1.1
% 0.09/0.78 % Refutation found
% 0.09/0.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.81 % Elapsed time: 0.088096 seconds
% 0.13/0.81 % CPU time: 0.194414 seconds
% 0.13/0.81 % Total memory used: 66.281 MB
% 0.13/0.81 % Net memory used: 66.110 MB
%------------------------------------------------------------------------------