%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV903-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:49:45 PM UTC 2026
% Result : Unsatisfiable 28.35s 4.24s
% Output : CNFRefutation 28.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 15 unt; 2 def)
% Number of atoms : 58 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-5 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f470,axiom,
! [V_xa,T_a] : c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f521,axiom,
! [V_a,V_m,T_a,T_b] :
( hAPP(V_m,V_a) = c_Option_Ooption_ONone(T_b)
| c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f604,axiom,
! [V_f,V_g,V_A,T_c,T_b,T_a] : c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f605,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(f639,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(f674,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(f685,negated_conjecture,
hAPP(c_Com_Obody,v_pna) = c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f686,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1467,plain,
! [X0,X1] : c_Option_Ooption_OSome(X0,X1) != c_Option_Ooption_ONone(X1),
inference(cnf_transformation,[status(thm)],[f470]) ).
fof(f1540,plain,
! [V_a,V_m,T_b] :
( hAPP(V_m,V_a) = c_Option_Ooption_ONone(T_b)
| ! [T_a] : c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a) ),
inference(miniscoping,[status(thm)],[f521]) ).
fof(f1541,plain,
! [X0,X1,X2,X3] :
( hAPP(X1,X0) = c_Option_Ooption_ONone(X3)
| c_in(X0,c_Map_Odom(X1,X2,X3),X2) ),
inference(cnf_transformation,[status(thm)],[f1540]) ).
fof(f1672,plain,
! [X0,X1,X2,X3,X4,X5] : c_Set_Oimage(X0,c_Set_Oimage(X1,X2,X3,X4),X4,X5) = c_Set_Oimage(c_COMBB(X0,X1,X4,X5,X3),X2,X3,X5),
inference(cnf_transformation,[status(thm)],[f604]) ).
fof(f1673,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)],[f605]) ).
fof(f1674,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)],[f1673]) ).
fof(f1721,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)],[f639]) ).
fof(f1776,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)],[f674]) ).
fof(f1777,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)],[f1776]) ).
fof(f1792,plain,
hAPP(c_Com_Obody,v_pna) = c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),
inference(cnf_transformation,[status(thm)],[f685]) ).
fof(f1793,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f2458,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(backward_demodulation,[status(thm)],[f1672,f1793]) ).
fof(f2475,plain,
hAPP(c_Com_Obody,v_pna) != c_Option_Ooption_ONone(tc_Com_Ocom),
inference(paramodulation,[status(thm)],[f1792,f1467]) ).
fof(f2528,plain,
( ~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ),
inference(resolution,[status(thm)],[f2458,f1674]) ).
fof(f2529,definition,
( sQ23_spl
<=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f2531,plain,
( sQ23_spl
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ),
inference(component_clause,[status(thm)],[f2529]) ).
fof(f2532,definition,
( sQ24_spl
<=> c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f2534,plain,
( sQ24_spl
| ~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)) ),
inference(component_clause,[status(thm)],[f2532]) ).
fof(f2535,plain,
( ~ sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2528,f2529,f2532]) ).
fof(f3298,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2531,f1721]) ).
fof(f3299,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f3298]) ).
fof(f4075,plain,
( sQ24_spl
| ~ c_in(hAPP(c_Com_Ocom_OBODY,v_pna),c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom) ),
inference(resolution,[status(thm)],[f2534,f1777]) ).
fof(f17600,plain,
( sQ24_spl
| ~ c_in(v_pna,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) ),
inference(resolution,[status(thm)],[f4075,f1777]) ).
fof(f17602,plain,
( sQ24_spl
| hAPP(c_Com_Obody,v_pna) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
inference(resolution,[status(thm)],[f17600,f1541]) ).
fof(f17605,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17602,f2475]) ).
fof(f17606,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f17605]) ).
fof(f17607,plain,
$false,
inference(sat_refutation,[status(thm)],[f2535,f3299,f17606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV903-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.54 % Computer : n005.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Mon Sep 21 09:31:04 UTC 2026
% 0.11/0.55 % CPUTime :
% 0.15/0.60 % Drodi V4.1.1
% 28.35/4.24 % Refutation found
% 28.35/4.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 28.35/4.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.92/4.42 % Elapsed time: 3.855840 seconds
% 2.92/4.42 % CPU time: 29.377416 seconds
% 2.92/4.42 % Total memory used: 450.175 MB
% 2.92/4.42 % Net memory used: 421.247 MB
%------------------------------------------------------------------------------