%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV580-1 : 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 : n022.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 04:47:21 PM UTC 2025
% Result : Unsatisfiable 18.61s 2.62s
% Output : CNFRefutation 18.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(553,plain,
c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
inference(instantiation,[status(thm)],[553]) ).
cnf(506,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,X2) ),
inference(cnf,[status(esa)],[cls_ivl__disj__un_I3_J_0]) ).
cnf(l2,plain,
( ~ c_HOL_Oord__class_Oless(v_m,v_n,tc_nat)
| ~ class_Orderings_Olinorder(tc_nat)
| c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat) ),
inference(instantiation,[status(thm)],[506]) ).
cnf(582,plain,
class_Orderings_Olinorder(tc_nat),
inference(cnf,[status(esa)],[clsarity_nat__Orderings_Olinorder]) ).
cnf(l9,plain,
class_Orderings_Olinorder(tc_nat),
inference(instantiation,[status(thm)],[582]) ).
cnf(498,plain,
c_HOL_Oord__class_Oless(v_m,v_n,tc_nat),
inference(cnf,[status(esa)],[cls_less_0]) ).
cnf(l5,plain,
c_HOL_Oord__class_Oless(v_m,v_n,tc_nat),
inference(instantiation,[status(thm)],[498]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l9,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWV580-1 : TPTP v9.0.0. Released v4.1.0.
% 0.04/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n022.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Jul 22 11:07:19 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % launching worker at depth: 1
% 0.07/0.27 % launching worker at depth: 7
% 0.07/0.27 % launching worker at depth: 3
% 0.07/0.27 % launching worker at depth: 2
% 0.07/0.27 % launching worker at depth: 5
% 0.07/0.27 % launching worker at depth: 6
% 0.07/0.27 % launching worker at depth: 8
% 0.07/0.27 % launching worker at depth: 4
% 0.07/0.28 % launching worker at depth: 9
% 0.10/0.31 % launching worker at depth: 10
% 18.61/2.62 % SZS status Theorem for theBenchmark
% 18.61/2.62 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------