%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:08:41 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.41s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f332,axiom,
! [V_s,V_k] : c_Lambda_Olift(c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Olift(V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f339,axiom,
! [V_r] :
( ~ c_InductTermi_OIT(V_r)
| c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f344,negated_conjecture,
! [V_i] : c_InductTermi_OIT(c_Lambda_Olift(v_r,V_i)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f345,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f892,plain,
! [X0,X1] : c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f899,plain,
! [X0] :
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
inference(cnf_transformation,[status(thm)],[f339]) ).
fof(f905,plain,
! [X0] : c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f906,plain,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f933,plain,
! [X0,X1] :
( ~ c_InductTermi_OIT(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))
| c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1)) ),
inference(paramodulation,[status(thm)],[f892,f899]) ).
fof(f945,plain,
! [X0] : c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),X0)),
inference(resolution,[status(thm)],[f933,f905]) ).
fof(f947,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f906,f945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 00:56:42 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.38 % Drodi V4.1.1
% 0.03/0.41 % Refutation found
% 0.03/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.44 % Elapsed time: 0.083188 seconds
% 0.03/0.44 % CPU time: 0.202094 seconds
% 0.03/0.44 % Total memory used: 118.884 MB
% 0.03/0.44 % Net memory used: 118.718 MB
%------------------------------------------------------------------------------