%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL821-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:08:54 PM UTC 2026
% Result : Unsatisfiable 15.94s 2.47s
% Output : CNFRefutation 15.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 8 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-5 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f329,axiom,
! [V_e,V_ts,V_T,V_i] :
( ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
| c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f341,axiom,
! [V_Ts] :
( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,V_Ts)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f342,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f345,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f857,plain,
! [X0,X1,X2,X3] :
( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
| c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1)) ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f871,plain,
( ! [V_Ts] : ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,V_Ts)
| v_thesis____ ),
inference(miniscoping,[status(thm)],[f341]) ).
fof(f872,plain,
! [X0] :
( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0)
| v_thesis____ ),
inference(cnf_transformation,[status(thm)],[f871]) ).
fof(f873,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(cnf_transformation,[status(thm)],[f342]) ).
fof(f877,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f904,definition,
( sQ0_spl
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ0_spl
| v_thesis____ ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,definition,
! [X0] :
( sQ1_spl
<=> ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f908,plain,
! [X0] :
( ~ sQ1_spl
| ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X0) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f872,f904,f907]) ).
fof(f953,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f877]) ).
fof(f954,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f953]) ).
fof(f3952,plain,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,c_Type_Osko__Type__Xvar__app__typesE__1__1(v_T_H____,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_n____,v_rs____)),
inference(resolution,[status(thm)],[f873,f857]) ).
fof(f3958,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3952,f908]) ).
fof(f3959,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f3958]) ).
fof(f3960,plain,
$false,
inference(sat_refutation,[status(thm)],[f910,f954,f3959]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL821-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 01:09:51 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 15.94/2.47 % Refutation found
% 15.94/2.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.94/2.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.39/2.73 % Elapsed time: 2.355304 seconds
% 1.39/2.73 % CPU time: 16.709480 seconds
% 1.39/2.73 % Total memory used: 364.048 MB
% 1.39/2.73 % Net memory used: 348.991 MB
%------------------------------------------------------------------------------