%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL834-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 01:11:13 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL834-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 % Computer : n007.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 21 01:05:21 UTC 2026
% 0.17/0.41 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.24/0.62 % Refutation found
% 0.24/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.62 fof(f403,axiom,(
% 0.24/0.62 (![V_t,V_s]: (c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),c_HOL_Ozero__class_Ozero(tc_nat)) ))),
% 0.24/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.62 fof(f435,axiom,(
% 0.24/0.62 (![V_s,V_t]: (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),c_HOL_Ozero__class_Ozero(tc_nat)))) ))),
% 0.24/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.62 fof(f436,axiom,(
% 0.24/0.62 (![V_r,V_ss,V_s]: (( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ))),
% 0.24/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.62 fof(f444,negated_conjecture,(
% 0.24/0.62 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 0.24/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.62 fof(f1076,plain,(
% 0.24/0.62 ![X0,X1]: (c_Lambda_Osubstn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 0.24/0.62 inference(cnf_transformation,[status(thm)],[f403])).
% 0.24/0.62 fof(f1124,plain,(
% 0.24/0.62 ![X0,X1]: (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))))),
% 0.24/0.62 inference(cnf_transformation,[status(thm)],[f435])).
% 0.24/0.62 fof(f1125,plain,(
% 0.24/0.62 ![V_r,V_s]: ((![V_ss]: hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB))))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)))),
% 0.24/0.62 inference(miniscoping,[status(thm)],[f436])).
% 0.24/0.62 fof(f1126,plain,(
% 0.24/0.62 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)))),
% 0.24/0.62 inference(cnf_transformation,[status(thm)],[f1125])).
% 0.24/0.62 fof(f1139,plain,(
% 0.24/0.62 ~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)))),
% 0.24/0.62 inference(cnf_transformation,[status(thm)],[f444])).
% 0.24/0.62 fof(f1220,plain,(
% 0.24/0.62 ![X0,X1]: (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),c_Lambda_Osubstn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)))))),
% 0.24/0.62 inference(forward_demodulation,[status(thm)],[f1076,f1124])).
% 0.24/0.62 fof(f1221,plain,(
% 0.24/0.62 ~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubstn(v_r____,v_a____,c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)))),
% 0.24/0.62 inference(forward_demodulation,[status(thm)],[f1076,f1139])).
% 0.24/0.62 fof(f1393,plain,(
% 0.24/0.62 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(c_Lambda_Obeta,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)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubstn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))))),
% 0.24/0.62 inference(resolution,[status(thm)],[f1126,f1220])).
% 0.24/0.62 fof(f1396,plain,(
% 0.24/0.62 $false),
% 0.24/0.62 inference(backward_subsumption_resolution,[status(thm)],[f1221,f1393])).
% 0.24/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.63 % Elapsed time: 0.203457 seconds
% 0.24/0.63 % CPU time: 0.903399 seconds
% 0.24/0.63 % Total memory used: 135.163 MB
% 0.24/0.63 % Net memory used: 134.440 MB
%------------------------------------------------------------------------------