%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL800-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 12:14:36 PM UTC 2026
% Result : Unsatisfiable 3.40s 0.83s
% Output : CNFRefutation 3.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(367,plain,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
inference(instantiation,[status(thm)],[367]) ).
cnf(366,plain,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf,[status(esa)],[cls_CHAINED_0]) ).
cnf(l6,plain,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(instantiation,[status(thm)],[366]) ).
cnf(342,plain,
c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X1),X2,X3) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)),
inference(cnf,[status(esa)],[cls_subst__App_0]) ).
cnf(l5,plain,
c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_OdB_OApp(c_Lambda_Osubst(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(instantiation,[status(thm)],[342]) ).
cnf(361,plain,
c_Lambda_Osubst(c_Lambda_Olift(X0,X1),X2,X1) = X0,
inference(cnf,[status(esa)],[cls_subst__lift_0]) ).
cnf(l3,plain,
c_Lambda_Osubst(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)) = v_u____,
inference(instantiation,[status(thm)],[361]) ).
cnf(345,plain,
c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1,
inference(cnf,[status(esa)],[cls_subst__eq_0]) ).
cnf(l7,plain,
c_Lambda_Osubst(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(v_a____,v_u____,v_i____),
inference(instantiation,[status(thm)],[345]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l6,l5,l3,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL800-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 18:29:40 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % launching worker at depth: 1
% 0.11/0.38 % launching worker at depth: 8
% 0.11/0.38 % launching worker at depth: 4
% 0.11/0.38 % launching worker at depth: 3
% 0.11/0.38 % launching worker at depth: 2
% 0.11/0.38 % launching worker at depth: 6
% 0.11/0.38 % launching worker at depth: 7
% 0.11/0.38 % launching worker at depth: 5
% 0.11/0.38 % launching worker at depth: 9
% 0.11/0.38 % launching worker at depth: 10
% 3.40/0.83 % SZS status Theorem for theBenchmark
% 3.40/0.83 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------