%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV254-2 : TPTP v9.0.0. Released v3.2.0.
% 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 04:46:24 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
c_lessequals(X0,v_x(X0),tc_nat),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_lessequals(c_Suc(v_nat),v_x(c_Suc(v_nat)),tc_nat),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_SetInterval_OatLeastLessThan(X1,X0,X2) = c_emptyset ),
inference(cnf,[status(esa)],[cls_SetInterval_OatLeastLessThan__empty_0]) ).
cnf(l1,plain,
( ~ c_lessequals(c_Suc(v_nat),v_x(c_Suc(v_nat)),tc_nat)
| ~ class_Orderings_Oorder(tc_nat)
| c_SetInterval_OatLeastLessThan(v_x(c_Suc(v_nat)),c_Suc(v_nat),tc_nat) = c_emptyset ),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
class_Orderings_Oorder(tc_nat),
inference(cnf,[status(esa)],[clsarity_nat_3]) ).
cnf(l3,plain,
class_Orderings_Oorder(tc_nat),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
v_x(X0) = v_nat,
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l24,plain,
v_x(c_Suc(v_nat)) = v_nat,
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
c_emptyset != c_insert(X0,X1,X2),
inference(cnf,[status(esa)],[cls_Set_Oempty__not__insert_0]) ).
cnf(l148,plain,
c_emptyset != c_insert(v_nat,c_emptyset,tc_nat),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
c_SetInterval_OatLeastLessThan(X0,c_Suc(X0),tc_nat) = c_insert(X0,c_emptyset,tc_nat),
inference(cnf,[status(esa)],[cls_SetInterval_OatLeastLessThan__singleton_0]) ).
cnf(l130,plain,
c_SetInterval_OatLeastLessThan(v_nat,c_Suc(v_nat),tc_nat) = c_insert(v_nat,c_emptyset,tc_nat),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l24,l148,l130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV254-2 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 08:36:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------