%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL773-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:14:31 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
% launching worker at depth: 9
cnf(1065,plain,
c_InductTermi_OIT(v_r),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_InductTermi_OIT(v_r),
inference(instantiation,[status(thm)],[1065]) ).
cnf(1059,plain,
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
inference(cnf,[status(esa)],[cls_subst__Var__IT_0]) ).
cnf(l1,plain,
( ~ c_InductTermi_OIT(v_r)
| c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))) ),
inference(instantiation,[status(thm)],[1059]) ).
cnf(1067,plain,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l2,plain,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(instantiation,[status(thm)],[1067]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL773-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 08:27:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.41 % launching worker at depth: 1
% 0.10/0.41 % launching worker at depth: 6
% 0.10/0.41 % launching worker at depth: 2
% 0.10/0.41 % launching worker at depth: 3
% 0.10/0.41 % launching worker at depth: 4
% 0.10/0.41 % launching worker at depth: 5
% 0.10/0.41 % launching worker at depth: 7
% 0.10/0.41 % launching worker at depth: 8
% 0.10/0.41 % SZS status Theorem for theBenchmark
% 0.10/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------