TSTP Solution File: LCL776-1 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL776-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n010.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 : 600s
% DateTime : Sun Jul 17 12:11:54 EDT 2022
% Result : Unsatisfiable 247.31s 33.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL776-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 3 17:26:32 EDT 2022
% 0.11/0.32 % CPUTime :
% 247.31/33.72 % SZS status Unsatisfiable
% 247.31/33.72 % SZS output begin IncompleteProof
% 247.31/33.72 cnf(c0, axiom,
% 247.31/33.72 hBOOL(hAPP(c_InductTermi_OIT,v_s))).
% 247.31/33.72 cnf(c1, plain,
% 247.31/33.72 hBOOL(hAPP(c_InductTermi_OIT,v_s)),
% 247.31/33.72 inference(start, [], [c0])).
% 247.31/33.72
% 247.31/33.72 cnf(c2, axiom,
% 247.31/33.72 ~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))) | ~hBOOL(hAPP(c_InductTermi_OIT,X1)) | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))).
% 247.31/33.72 cnf(a0, assumption,
% 247.31/33.72 hAPP(c_InductTermi_OIT,v_s) = hAPP(c_InductTermi_OIT,X1)).
% 247.31/33.72 cnf(c3, plain,
% 247.31/33.72 $false,
% 247.31/33.72 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 247.31/33.72 cnf(c4, plain,
% 247.31/33.72 ~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))) | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))),
% 247.31/33.72 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 247.31/33.72
% 247.31/33.72 cnf(c5, axiom,
% 247.31/33.72 hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X5) = c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)).
% 247.31/33.72 cnf(a1, assumption,
% 247.31/33.72 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)).
% 247.31/33.72 cnf(c6, plain,
% 247.31/33.72 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))),
% 247.31/33.72 inference(strict_function_extension, [assumptions([a1])], [c4, c5])).
% 247.31/33.72 cnf(c7, plain,
% 247.31/33.72 $false,
% 247.31/33.72 inference(strict_function_extension, [assumptions([a1])], [c4, c5])).
% 247.31/33.72 cnf(c8, plain,
% 247.31/33.72 X6 != hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X5) | ~hBOOL(hAPP(c_InductTermi_OIT,X6)),
% 247.31/33.72 inference(strict_function_extension, [assumptions([a1])], [c4, c5])).
% 247.31/33.72
% 247.31/33.72 cnf(a2, assumption,
% 247.31/33.72 X6 = hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X5)).
% 247.31/33.72 cnf(c9, plain,
% 247.31/33.72 ~hBOOL(hAPP(c_InductTermi_OIT,X6)),
% 247.31/33.72 inference(reflexivity, [assumptions([a2])], [c8])).
% 247.31/33.72
% 247.31/33.72 cnf(c10, axiom,
% 247.31/33.72 hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r,v_s,c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))).
% 247.31/33.72 cnf(a3, assumption,
% 247.31/33.72 hAPP(c_InductTermi_OIT,X6) = hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r,v_s,c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))).
% 247.31/33.72 cnf(c11, plain,
% 247.31/33.72 $false,
% 247.31/33.72 inference(strict_predicate_extension, [assumptions([a3])], [c9, c10])).
% 247.31/33.72 cnf(c12, plain,
% 247.31/33.72 $false,
% 247.31/33.72 inference(strict_predicate_extension, [assumptions([a3])], [c9, c10])).
% 247.31/33.72
% 247.31/33.72 cnf(c13, axiom,
% 247.31/33.72 ~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r)),v_s),c_List_Oappend(v_ss,c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))).
% 247.31/33.72 cnf(a4, assumption,
% 247.31/33.72 hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)) = hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r)),v_s),c_List_Oappend(v_ss,c_List_Olist_OCons(c_Lambda_OdB_OVar(v_i),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))).
% 247.31/33.72 cnf(c14, plain,
% 247.31/33.72 $false,
% 247.31/33.72 inference(strict_predicate_extension, [assumptions([a4])], [c6, c13])).
% 247.31/33.72 cnf(c15, plain,
% 247.31/33.72 $false,
% 247.31/33.72 inference(strict_predicate_extension, [assumptions([a4])], [c6, c13])).
% 247.31/33.72
% 247.31/33.72 cnf(c16, plain,
% 247.31/33.72 $false,
% 247.31/33.72 inference(constraint_solving, [
% 247.31/33.72 bind(X0, v_r),
% 247.31/33.72 bind(X1, v_s),
% 247.31/33.72 bind(X2, c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)),
% 247.31/33.72 bind(X3, c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))),
% 247.31/33.72 bind(X4, v_ss),
% 247.31/33.72 bind(X5, c_Lambda_OdB_OVar(v_i)),
% 247.31/33.72 bind(X6, hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X5))
% 247.31/33.72 ],
% 247.31/33.72 [a0, a1, a2, a3, a4])).
% 247.31/33.72
% 247.31/33.72 % SZS output end IncompleteProof
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