%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL830-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 0.90s 0.71s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-5 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f443,axiom,
! [V_P,V_Q,T_b,T_c,T_a,V_R] : hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f445,axiom,
! [V_f,V_x,V_xa,T_b,T_a] : c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f451,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f452,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1139,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBC(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),X1),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f1141,plain,
! [X0,X1,X2,X3,X4] : c_List_Omap(X0,c_List_Olist_OCons(X1,X2,X3),X3,X4) = c_List_Olist_OCons(hAPP(X0,X1),c_List_Omap(X0,X2,X3,X4),X4),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f1147,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f1148,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f1241,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : c_List_Omap(c_COMBC(X0,X1,X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X7,X8) = c_List_Olist_OCons(hAPP(hAPP(X0,X5),X1),c_List_Omap(c_COMBC(X0,X1,X2,X3,X4),X6,X7,X8),X8),
inference(paramodulation,[status(thm)],[f1139,f1141]) ).
fof(f1802,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] : c_List_Omap(c_COMBC(c_COMBC(X0,X1,X2,X3,X4),X5,X6,X7,X8),c_List_Olist_OCons(X9,X10,X11),X11,X12) = c_List_Olist_OCons(hAPP(hAPP(hAPP(X0,X9),X1),X5),c_List_Omap(c_COMBC(c_COMBC(X0,X1,X2,X3,X4),X5,X6,X7,X8),X10,X11,X12),X12),
inference(paramodulation,[status(thm)],[f1139,f1241]) ).
fof(f1865,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(backward_demodulation,[status(thm)],[f1802,f1147]) ).
fof(f1889,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1865,f1148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL830-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:07:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.90/0.71 % Refutation found
% 0.90/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.90/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.90/0.72 % Elapsed time: 0.355647 seconds
% 0.90/0.72 % CPU time: 2.325999 seconds
% 0.90/0.72 % Total memory used: 177.456 MB
% 0.90/0.72 % Net memory used: 176.251 MB
%------------------------------------------------------------------------------