%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV858-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 02:49:41 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 28 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f525,axiom,
! [V_Q,V_x,V_P,T_a] :
( ~ hBOOL(hAPP(V_P,V_x))
| ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
| hBOOL(hAPP(V_Q,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f545,axiom,
! [T_a,V_x,V_S] :
( ~ hBOOL(hAPP(V_S,V_x))
| hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f546,axiom,
! [V_S,V_x,T_a] :
( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
| hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f550,negated_conjecture,
c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f551,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f552,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f553,negated_conjecture,
! [V_xb] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xb),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,V_xb,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f554,negated_conjecture,
! [V_na,V_nb] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(V_na)),v_Ga))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(V_na,V_nb,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f555,negated_conjecture,
! [V_na,V_nc] :
( ~ c_Hoare__Mirabelle_Otriple__valid(V_na,v_n(V_na),t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nc),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(V_na,V_nc,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1387,plain,
! [V_x,V_P] :
( ~ hBOOL(hAPP(V_P,V_x))
| ! [V_Q] :
( ! [T_a] : ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
| hBOOL(hAPP(V_Q,V_x)) ) ),
inference(miniscoping,[status(thm)],[f525]) ).
fof(f1388,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(hAPP(X2,X1))
| ~ c_lessequals(X2,X0,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1387]) ).
fof(f1420,plain,
! [V_x,V_S] :
( ~ hBOOL(hAPP(V_S,V_x))
| ! [T_a] : hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ),
inference(miniscoping,[status(thm)],[f545]) ).
fof(f1421,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f1420]) ).
fof(f1422,plain,
! [V_S,V_x] :
( ! [T_a] : ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
| hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(thm)],[f546]) ).
fof(f1423,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1422]) ).
fof(f1428,plain,
c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f1429,plain,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f1430,plain,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(cnf_transformation,[status(thm)],[f552]) ).
fof(f1431,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
inference(cnf_transformation,[status(thm)],[f553]) ).
fof(f1432,plain,
! [V_na] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(V_na)),v_Ga))
| ! [V_nb] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(V_na,V_nb,t_a) ) ),
inference(miniscoping,[status(thm)],[f554]) ).
fof(f1433,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a) ),
inference(cnf_transformation,[status(thm)],[f1432]) ).
fof(f1434,plain,
! [V_na] :
( ~ c_Hoare__Mirabelle_Otriple__valid(V_na,v_n(V_na),t_a)
| ! [V_nc] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nc),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(V_na,V_nc,t_a) ) ),
inference(miniscoping,[status(thm)],[f555]) ).
fof(f1435,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a) ),
inference(cnf_transformation,[status(thm)],[f1434]) ).
fof(f1489,plain,
hBOOL(hAPP(v_tsa,v_xa)),
inference(resolution,[status(thm)],[f1423,f1429]) ).
fof(f1501,plain,
! [X0] :
( ~ hBOOL(hAPP(v_tsa,X0))
| hBOOL(hAPP(v_ts_H,X0)) ),
inference(resolution,[status(thm)],[f1388,f1428]) ).
fof(f1508,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_in(X1),X0),v_ts_H))
| ~ hBOOL(hAPP(v_tsa,X0)) ),
inference(resolution,[status(thm)],[f1501,f1421]) ).
fof(f1509,plain,
! [X0] : hBOOL(hAPP(hAPP(c_in(X0),v_xa),v_ts_H)),
inference(resolution,[status(thm)],[f1508,f1489]) ).
fof(f1510,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
| c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a) ),
inference(resolution,[status(thm)],[f1509,f1435]) ).
fof(f1511,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a) ),
inference(resolution,[status(thm)],[f1509,f1433]) ).
fof(f1530,plain,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_x)),v_Ga)),
inference(resolution,[status(thm)],[f1511,f1430]) ).
fof(f1531,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(v_x),t_a),
inference(resolution,[status(thm)],[f1530,f1431]) ).
fof(f1534,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(resolution,[status(thm)],[f1531,f1510]) ).
fof(f1535,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1534,f1430]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV858-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 09:28:49 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.091939 seconds
% 0.12/0.45 % CPU time: 0.235125 seconds
% 0.12/0.45 % Total memory used: 114.932 MB
% 0.12/0.45 % Net memory used: 114.653 MB
%------------------------------------------------------------------------------