%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL839-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 01:08:57 PM UTC 2026
% Result : Unsatisfiable 17.50s 2.73s
% Output : CNFRefutation 17.50s
% 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 : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136,axiom,
! [V_e,V_u,V_T,V_t] :
( ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T)
| c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f361,axiom,
! [V_T_H_H] :
( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,V_T_H_H)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f364,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_Ua____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f365,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f587,plain,
! [X0,X1,X2,X3] :
( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2)
| c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1)) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f924,plain,
( ! [V_T_H_H] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,V_T_H_H)
| v_thesis____ ),
inference(miniscoping,[status(thm)],[f361]) ).
fof(f925,plain,
! [X0] :
( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
| v_thesis____ ),
inference(cnf_transformation,[status(thm)],[f924]) ).
fof(f929,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_Ua____),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f930,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f959,definition,
( sQ0_spl
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( ~ sQ0_spl
| v_thesis____ ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f962,definition,
! [X0] :
( sQ1_spl
<=> ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f963,plain,
! [X0] :
( ~ sQ1_spl
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f925,f959,f962]) ).
fof(f1028,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f960,f930]) ).
fof(f1029,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1934,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(v_Ua____,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OAbs(v_r____),v_a____)),
inference(resolution,[status(thm)],[f929,f587]) ).
fof(f1935,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1934,f963]) ).
fof(f1936,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f1935]) ).
fof(f1937,plain,
$false,
inference(sat_refutation,[status(thm)],[f965,f1029,f1936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL839-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 01:08:39 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 17.50/2.73 % Refutation found
% 17.50/2.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.50/2.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.09/2.77 % Elapsed time: 2.386054 seconds
% 4.09/2.77 % CPU time: 18.339441 seconds
% 4.09/2.77 % Total memory used: 306.945 MB
% 4.09/2.77 % Net memory used: 288.655 MB
%------------------------------------------------------------------------------