%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL856-1 : 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 : n010.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 12:14:45 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% 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(171,plain,
c_Type_Otyping(v_e,v_t,v_T),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_Type_Otyping(v_e,v_t,v_T),
inference(instantiation,[status(thm)],[171]) ).
cnf(169,plain,
( ~ c_Type_Otyping(X0,X1,X2)
| hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(cnf,[status(esa)],[cls_type__implies__IT_0]) ).
cnf(l1,plain,
( ~ c_Type_Otyping(v_e,v_t,v_T)
| hBOOL(hAPP(c_InductTermi_OIT,v_t)) ),
inference(instantiation,[status(thm)],[169]) ).
cnf(137,plain,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB) ),
inference(cnf,[status(esa)],[cls_IT__implies__termi_0]) ).
cnf(l2,plain,
( ~ hBOOL(hAPP(c_InductTermi_OIT,v_t))
| c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB) ),
inference(instantiation,[status(thm)],[137]) ).
cnf(172,plain,
~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l7,plain,
~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
inference(instantiation,[status(thm)],[172]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n010.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 03:18:53 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % launching worker at depth: 1
% 0.09/0.35 % launching worker at depth: 3
% 0.09/0.35 % launching worker at depth: 2
% 0.09/0.35 % launching worker at depth: 8
% 0.09/0.35 % launching worker at depth: 5
% 0.09/0.35 % launching worker at depth: 4
% 0.09/0.35 % launching worker at depth: 7
% 0.09/0.35 % launching worker at depth: 6
% 0.09/0.36 % launching worker at depth: 9
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------