%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL826-1 : 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 : n012.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 12:14:40 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.31s
% Output : CNFRefutation 0.03s
% 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(386,plain,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa)),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa)),
inference(instantiation,[status(thm)],[386]) ).
cnf(385,plain,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),X0),v_T____))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X1),X2),v_T____)),v_a____),X3))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X2))) ),
inference(cnf,[status(esa)],[cls_CHAINED_0_02]) ).
cnf(l1,plain,
( ~ hBOOL(hAPP(c_InductTermi_OIT,v_xb))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))) ),
inference(instantiation,[status(thm)],[385]) ).
cnf(388,plain,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l2,plain,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
inference(instantiation,[status(thm)],[388]) ).
cnf(387,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l6,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
inference(instantiation,[status(thm)],[387]) ).
cnf(389,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l5,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))),
inference(instantiation,[status(thm)],[389]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL826-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 5 09:26:27 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % launching worker at depth: 1
% 0.03/0.30 % launching worker at depth: 8
% 0.03/0.30 % launching worker at depth: 3
% 0.03/0.30 % launching worker at depth: 4
% 0.03/0.30 % launching worker at depth: 5
% 0.03/0.30 % launching worker at depth: 6
% 0.03/0.30 % launching worker at depth: 7
% 0.03/0.30 % launching worker at depth: 2
% 0.03/0.31 % launching worker at depth: 9
% 0.03/0.31 % SZS status Theorem for theBenchmark
% 0.03/0.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------