%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL835-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 01:08:56 PM UTC 2026
% Result : Unsatisfiable 20.59s 13.15s
% Output : CNFRefutation 20.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-5 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,axiom,
! [V_r,T_a,V_x,V_y] :
( ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f202,axiom,
! [V_e,V_t_H,V_T,V_t] :
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
| ~ c_Type_Otyping(V_e,V_t,V_T)
| c_Type_Otyping(V_e,V_t_H,V_T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f458,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f465,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f467,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f702,plain,
! [V_r,V_x,V_y] :
( ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y))
| ! [T_a] : hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ),
inference(miniscoping,[status(thm)],[f133]) ).
fof(f703,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(hAPP(hAPP(X0,X2),X3))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3)) ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f820,plain,
! [V_t_H,V_t] :
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
| ! [V_e,V_T] :
( ~ c_Type_Otyping(V_e,V_t,V_T)
| c_Type_Otyping(V_e,V_t_H,V_T) ) ),
inference(miniscoping,[status(thm)],[f202]) ).
fof(f821,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X1))
| ~ c_Type_Otyping(X0,X3,X2)
| c_Type_Otyping(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f1208,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f1219,plain,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
inference(cnf_transformation,[status(thm)],[f465]) ).
fof(f1221,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f5274,plain,
! [X0] : hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,X0),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
inference(resolution,[status(thm)],[f703,f1219]) ).
fof(f9350,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X0))
| c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),X0,v_T_H____) ),
inference(resolution,[status(thm)],[f821,f1208]) ).
fof(f13738,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(resolution,[status(thm)],[f9350,f5274]) ).
fof(f13740,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f13738,f1221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL835-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/10.46 % Computer : n004.cluster.edu
% 0.17/10.46 % Model : x86_64 x86_64
% 0.17/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.46 % Memory : 8046.5625MB
% 0.17/10.46 % OS : Linux 6.8.0-71-generic
% 0.17/10.46 % CPULimit : 300
% 0.17/10.46 % WCLimit : 300
% 0.17/10.46 % DateTime : Mon Sep 21 01:07:15 UTC 2026
% 0.17/10.46 % CPUTime :
% 0.23/10.52 % Drodi V4.1.1
% 20.59/13.15 % Refutation found
% 20.59/13.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.59/13.15 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.57/13.28 % Elapsed time: 2.804989 seconds
% 1.57/13.28 % CPU time: 21.200820 seconds
% 1.57/13.28 % Total memory used: 324.511 MB
% 1.57/13.28 % Net memory used: 311.025 MB
%------------------------------------------------------------------------------