%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL799-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 01:08:50 PM UTC 2026
% Result : Unsatisfiable 1.51s 0.64s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f257,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f262,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f269,axiom,
! [V_e_H,V_u,V_U,V_i,V_t,V_T] :
( c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T)
| ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
| ~ c_Type_Otyping(V_e_H,V_u,V_U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f272,negated_conjecture,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f689,plain,
c_Type_Otyping(v_e____,v_u____,v_T____),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f695,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f703,plain,
! [V_e_H,V_u,V_i,V_t,V_T] :
( c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T)
| ! [V_U] :
( ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
| ~ c_Type_Otyping(V_e_H,V_u,V_U) ) ),
inference(miniscoping,[status(thm)],[f269]) ).
fof(f704,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5)
| ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
| ~ c_Type_Otyping(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f703]) ).
fof(f707,plain,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f1171,plain,
! [X0] :
( c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,X0,v_i____),v_T_H_H____)
| ~ c_Type_Otyping(v_e____,X0,v_T____) ),
inference(resolution,[status(thm)],[f704,f695]) ).
fof(f1187,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[status(thm)],[f1171,f707]) ).
fof(f1188,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1187,f689]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL799-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.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 01:04:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 1.51/0.64 % Refutation found
% 1.51/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.51/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.51/0.66 % Elapsed time: 0.295994 seconds
% 1.51/0.66 % CPU time: 1.997389 seconds
% 1.51/0.66 % Total memory used: 167.347 MB
% 1.51/0.66 % Net memory used: 165.927 MB
%------------------------------------------------------------------------------