%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL825-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% 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 : Mon Sep 7 01:04:43 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,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(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0)]) ).
cnf(g1,plain,
sPE(c_List_Olist_ONil(tc_Lambda_OdB),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)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__map__conv_1)]) ).
cnf(g2,plain,
( ~ sPE(c_Nat_Osize__class_Osize(c_List_Oreplicate(c_InductTermi_OIT,tc_Lambda_OdB,tc_Lambda_OdB),tc_List_Olist(tc_Lambda_OdB)),c_InductTermi_OIT)
| ~ sPE(c_List_Olist_ONil(tc_Lambda_OdB),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))
| ~ sPE(tc_Lambda_OdB,tc_Lambda_OdB)
| ~ c_List_Olistsp(c_Nat_Osize__class_Osize(c_List_Oreplicate(c_InductTermi_OIT,tc_Lambda_OdB,tc_Lambda_OdB),tc_List_Olist(tc_Lambda_OdB)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB)
| 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(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
c_List_Olistsp(c_Nat_Osize__class_Osize(c_List_Oreplicate(c_InductTermi_OIT,tc_Lambda_OdB,tc_Lambda_OdB),tc_List_Olist(tc_Lambda_OdB)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsp_ONil_0)]) ).
cnf(g4,plain,
sPE(c_Nat_Osize__class_Osize(c_List_Oreplicate(c_InductTermi_OIT,tc_Lambda_OdB,tc_Lambda_OdB),tc_List_Olist(tc_Lambda_OdB)),c_InductTermi_OIT),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__replicate_0)]) ).
cnf(g5,plain,
sPE(tc_Lambda_OdB,tc_Lambda_OdB),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL825-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.08/0.35 % Computer : n019.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 : Sat Sep 5 23:57:53 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % symbols: 123
% 0.12/0.36 % clauses: 593
% 0.12/0.36 % start clauses: 1
% 0.12/0.36 % iterative deepening steps: 27
% 0.12/0.36 % maximum path limit: 2
% 0.12/0.36 % literal attempts: 587
% 0.12/0.36 % depth failures: 503
% 0.12/0.36 % regularity failures: 9
% 0.12/0.36 % tautology failures: 5
% 0.12/0.36 % reductions: 0
% 0.12/0.36 % extensions: 568
% 0.12/0.36 % SAT variables: 681
% 0.12/0.36 % SAT clauses: 575
% 0.12/0.36 % WalkSAT solutions: 571
% 0.12/0.36 % CDCL solutions: 0
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------