%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL785-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n012.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 01:04:36 PM UTC 2026
% Result : Unsatisfiable 39.82s 5.32s
% Output : Proof 39.82s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,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_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0)]) ).
cnf(g1,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nT_0)]) ).
cnf(g2,plain,
sPE(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H____),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__0__right_0)]) ).
cnf(g3,plain,
sPE(c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Nil_0)]) ).
cnf(g4,plain,
sPE(v_rs____,c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons_0)]) ).
cnf(g5,plain,
sPE(tc_Lambda_OdB,tc_Lambda_OdB),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
sPE(c_Lambda_OdB_OApp,c_Lambda_OdB_OApp),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
sPE(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Cons_0)]) ).
cnf(g8,plain,
( ~ sPE(c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype))
| ~ sPE(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))
| ~ sPE(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H____)
| ~ c_Type_Otyping(c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat)))
| 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_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ sPE(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB))
| ~ sPE(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))
| ~ sPE(v_T_H____,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat)))
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)
| c_Type_Otyping(c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
sPE(v_T_H____,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_1)]) ).
cnf(g11,plain,
( ~ sPE(c_Lambda_OdB_OApp,c_Lambda_OdB_OApp)
| ~ sPE(c_Lambda_OdB_OVar(v_n____),c_Lambda_OdB_OVar(v_n____))
| ~ sPE(v_rs____,c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB))
| ~ sPE(tc_Lambda_OdB,tc_Lambda_OdB)
| ~ sPE(tc_Lambda_OdB,tc_Lambda_OdB)
| sPE(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
sPE(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0)]) ).
cnf(g13,plain,
sPE(c_Lambda_OdB_OVar(v_n____),c_Lambda_OdB_OVar(v_n____)),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL785-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : satcop --statistics %s
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 5 18:18:12 UTC 2026
% 0.03/0.30 % CPUTime :
% 39.82/5.31 % symbols: 104
% 39.82/5.32 % clauses: 501
% 39.82/5.32 % start clauses: 1
% 39.82/5.32 % iterative deepening steps: 5891
% 39.82/5.32 % maximum path limit: 5
% 39.82/5.32 % literal attempts: 6059723
% 39.82/5.32 % depth failures: 5396645
% 39.82/5.32 % regularity failures: 106156
% 39.82/5.32 % tautology failures: 105489
% 39.82/5.32 % reductions: 167324
% 39.82/5.32 % extensions: 5891070
% 39.82/5.32 % SAT variables: 1645347
% 39.82/5.32 % SAT clauses: 1810777
% 39.82/5.32 % WalkSAT solutions: 1810771
% 39.82/5.32 % CDCL solutions: 0
% 39.82/5.32 % SZS status Unsatisfiable for theBenchmark
% 39.82/5.32 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------