%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL827-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:08:55 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.56s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f362,axiom,
! [V_U] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),V_U))
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f367,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),v_sko__CHAINED__1(v_T____,v_a____,v_e____,v_i____))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f929,plain,
( ! [V_U] : ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),V_U))
| v_thesis____ ),
inference(miniscoping,[status(thm)],[f362]) ).
fof(f930,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),X0))
| v_thesis____ ),
inference(cnf_transformation,[status(thm)],[f929]) ).
fof(f936,plain,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),v_sko__CHAINED__1(v_T____,v_a____,v_e____,v_i____))),
inference(cnf_transformation,[status(thm)],[f367]) ).
fof(f939,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f1027,plain,
! [X0] : ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),X0)),
inference(backward_subsumption_resolution,[status(thm)],[f930,f939]) ).
fof(f1036,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f936,f1027]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL827-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.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 01:04:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.42 % Drodi V4.1.1
% 0.12/0.56 % Refutation found
% 0.12/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.58 % Elapsed time: 0.201730 seconds
% 0.22/0.58 % CPU time: 1.026461 seconds
% 0.22/0.58 % Total memory used: 145.117 MB
% 0.22/0.58 % Net memory used: 143.462 MB
%------------------------------------------------------------------------------