TSTP Solution File: LCL825-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL825-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:28:13 EDT 2024
% Result : Unsatisfiable 0.10s 0.35s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f448,axiom,
! [V_A,T_a] : c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f450,axiom,
! [V_f,T_b,T_a] : c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f453,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1146,plain,
! [X0,X1] : c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f1148,plain,
! [X0,X1,X2] : c_List_Omap(X0,c_List_Olist_ONil(X1),X1,X2) = c_List_Olist_ONil(X2),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f1151,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnf_transformation,[status(esa)],[f453]) ).
fof(f1188,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(backward_demodulation,[status(thm)],[f1148,f1151]) ).
fof(f1189,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1188,f1146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LCL825-1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 20:50:43 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.10/0.35 % Refutation found
% 0.10/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.36 % Elapsed time: 0.036841 seconds
% 0.10/0.36 % CPU time: 0.051589 seconds
% 0.10/0.36 % Total memory used: 20.040 MB
% 0.10/0.36 % Net memory used: 19.983 MB
%------------------------------------------------------------------------------