%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV882-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:49:43 PM UTC 2026
% Result : Unsatisfiable 36.06s 5.07s
% Output : CNFRefutation 36.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 44 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f491,axiom,
! [V_x,V_A,T_a,V_B] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f493,axiom,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f532,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(f539,axiom,
! [V_x,V_A,T_a] : c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f543,axiom,
! [V_x,V_S,T_a] :
( ~ hBOOL(hAPP(V_S,V_x))
| c_in(V_x,V_S,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f573,axiom,
! [V_G,V_ts] :
( ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool))
| hBOOL(hAPP(hAPP(v_P,V_G),V_ts)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f574,axiom,
! [V_a,V_A,T_a] :
( ~ c_in(V_a,V_A,T_a)
| c_Set_Oinsert(V_a,V_A,T_a) = V_A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f592,negated_conjecture,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f593,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1386,plain,
! [V_x,T_a,V_B] :
( ~ c_in(V_x,V_B,T_a)
| ! [V_A] :
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ),
inference(miniscoping,[status(thm)],[f491]) ).
fof(f1387,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f1386]) ).
fof(f1389,plain,
! [X0,X1,X2] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
inference(cnf_transformation,[status(thm)],[f493]) ).
fof(f1441,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)],[f532]) ).
fof(f1454,plain,
! [X0,X1,X2] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
inference(cnf_transformation,[status(thm)],[f539]) ).
fof(f1458,plain,
! [V_x,V_S] :
( ~ hBOOL(hAPP(V_S,V_x))
| ! [T_a] : c_in(V_x,V_S,T_a) ),
inference(miniscoping,[status(thm)],[f543]) ).
fof(f1459,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X0))
| c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1458]) ).
fof(f1508,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool))
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f1509,plain,
! [X0,X1,X2] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f1535,plain,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f1536,plain,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f1807,plain,
c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a) = v_G,
inference(resolution,[status(thm)],[f1509,f1535]) ).
fof(f1810,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X0))
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(resolution,[status(thm)],[f1509,f1459]) ).
fof(f1915,plain,
hBOOL(hAPP(v_G,hAPP(v_mgt__call,v_pn))),
inference(paramodulation,[status(thm)],[f1807,f1389]) ).
fof(f2313,plain,
! [X0] : c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,X0) = v_G,
inference(resolution,[status(thm)],[f1810,f1915]) ).
fof(f2363,plain,
! [X0] : c_in(hAPP(v_mgt__call,v_pn),v_G,X0),
inference(paramodulation,[status(thm)],[f2313,f1454]) ).
fof(f16848,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(resolution,[status(thm)],[f1508,f1536]) ).
fof(f18439,plain,
( ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)) ),
inference(resolution,[status(thm)],[f16848,f1387]) ).
fof(f18446,plain,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(forward_subsumption_resolution,[status(thm)],[f18439,f1441]) ).
fof(f18447,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f18446,f2363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV882-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 09:34:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.13/0.43 % Drodi V4.1.1
% 36.06/5.07 % Refutation found
% 36.06/5.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 36.06/5.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 36.06/5.16 % Elapsed time: 4.771400 seconds
% 36.06/5.16 % CPU time: 36.985947 seconds
% 36.06/5.16 % Total memory used: 361.173 MB
% 36.06/5.16 % Net memory used: 338.870 MB
%------------------------------------------------------------------------------