%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV675-1 : TPTP v9.0.0. 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 04:47:30 PM UTC 2025
% Result : Unsatisfiable 0.20s 0.54s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(1265,plain,
c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(instantiation,[status(thm)],[1265]) ).
cnf(1013,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| X0 = X1 ),
inference(cnf,[status(esa)],[cls_nat__less__le_2]) ).
cnf(l1,plain,
( ~ c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| c_Suc(v_y) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(instantiation,[status(thm)],[1013]) ).
cnf(1167,plain,
c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf,[status(esa)],[cls_Suc__neq__Zero_0]) ).
cnf(l3,plain,
c_Suc(v_y) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(instantiation,[status(thm)],[1167]) ).
cnf(811,plain,
~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(cnf,[status(esa)],[cls_gr__implies__not0_0]) ).
cnf(l2,plain,
~ c_HOL_Oord__class_Oless(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(instantiation,[status(thm)],[811]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV675-1 : TPTP v9.0.0. Released v4.1.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 11:30:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.39 % launching worker at depth: 3
% 0.13/0.39 % launching worker at depth: 4
% 0.13/0.39 % launching worker at depth: 2
% 0.13/0.39 % launching worker at depth: 1
% 0.13/0.39 % launching worker at depth: 5
% 0.13/0.39 % launching worker at depth: 6
% 0.13/0.39 % launching worker at depth: 7
% 0.13/0.39 % launching worker at depth: 8
% 0.20/0.44 % launching worker at depth: 9
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------