%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.14s 0.65s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 20 unt; 0 def)
% Number of atoms : 51 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 23 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f411,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/sandbox/benchmark/theBenchmark.p') ).
fof(f412,axiom,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f441,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/sandbox/benchmark/theBenchmark.p') ).
fof(f448,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/sandbox/benchmark/theBenchmark.p') ).
fof(f452,axiom,
! [V_x,V_S,T_a] :
( ~ hBOOL(hAPP(V_S,V_x))
| c_in(V_x,V_S,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f467,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/sandbox/benchmark/theBenchmark.p') ).
fof(f470,axiom,
! [V_x,V_A,T_aa,V_f,T_a] :
( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)
| ~ c_in(V_x,V_A,T_aa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f476,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f477,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f478,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1181,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)],[f411]) ).
fof(f1182,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)],[f1181]) ).
fof(f1183,plain,
! [X0,X1,X2] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f1222,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)],[f441]) ).
fof(f1235,plain,
! [X0,X1,X2] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f1239,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)],[f452]) ).
fof(f1240,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X0))
| c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1239]) ).
fof(f1265,plain,
! [X0,X1,X2] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f1269,plain,
! [V_x,V_A,T_aa] :
( ! [V_f,T_a] : c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)
| ~ c_in(V_x,V_A,T_aa) ),
inference(miniscoping,[status(thm)],[f470]) ).
fof(f1270,plain,
! [X0,X1,X2,X3,X4] :
( c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1269]) ).
fof(f1280,plain,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f1281,plain,
c_in(v_pn,v_U,tc_Com_Opname),
inference(cnf_transformation,[status(thm)],[f477]) ).
fof(f1282,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),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f1325,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(forward_demodulation,[status(thm)],[f1280,f1282]) ).
fof(f1332,plain,
c_Set_Oinsert(v_pn,v_U,tc_Com_Opname) = v_U,
inference(resolution,[status(thm)],[f1265,f1281]) ).
fof(f1443,plain,
hBOOL(hAPP(v_U,v_pn)),
inference(paramodulation,[status(thm)],[f1332,f1183]) ).
fof(f1533,plain,
! [X0] :
( c_in(hAPP(v_mgt__call,X0),v_G,t_a)
| ~ c_in(X0,v_U,tc_Com_Opname) ),
inference(paramodulation,[status(thm)],[f1280,f1270]) ).
fof(f1545,plain,
! [X0,X1,X2] :
( c_Set_Oinsert(X1,X0,X2) = X0
| ~ hBOOL(hAPP(X0,X1)) ),
inference(resolution,[status(thm)],[f1240,f1265]) ).
fof(f1609,plain,
! [X0] : c_Set_Oinsert(v_pn,v_U,X0) = v_U,
inference(resolution,[status(thm)],[f1545,f1443]) ).
fof(f1642,plain,
! [X0] : c_in(v_pn,v_U,X0),
inference(paramodulation,[status(thm)],[f1609,f1235]) ).
fof(f1730,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)],[f1182,f1325]) ).
fof(f1739,plain,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(forward_subsumption_resolution,[status(thm)],[f1730,f1222]) ).
fof(f1744,plain,
~ c_in(v_pn,v_U,tc_Com_Opname),
inference(resolution,[status(thm)],[f1739,f1533]) ).
fof(f1749,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1744,f1642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.56 % Computer : n018.cluster.edu
% 0.11/0.56 % Model : x86_64 x86_64
% 0.11/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56 % Memory : 8046.5625MB
% 0.11/0.56 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Mon Sep 21 09:31:59 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.14/0.61 % Drodi V4.1.1
% 0.14/0.65 % Refutation found
% 0.14/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.68 % Elapsed time: 0.105647 seconds
% 0.14/0.68 % CPU time: 0.398248 seconds
% 0.14/0.68 % Total memory used: 96.616 MB
% 0.14/0.68 % Net memory used: 96.274 MB
%------------------------------------------------------------------------------