%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET844-1 : 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 : n025.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 03:32:49 PM UTC 2025
% Result : Unsatisfiable 8.10s 1.39s
% Output : CNFRefutation 8.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(1364,plain,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[1364]) ).
cnf(1363,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| X0 != c_Zorn_Osucc(X1,X0,X2)
| c_lessequals(X3,X0,tc_set(tc_set(X2))) ),
inference(cnf,[status(esa)],[cls_Zorn_Oeq__succ__upper_0]) ).
cnf(l1,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m != c_Zorn_Osucc(v_S,v_m,t_a)
| c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[1363]) ).
cnf(1365,plain,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l2,plain,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
inference(instantiation,[status(thm)],[1365]) ).
cnf(1362,plain,
( ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
inference(cnf,[status(esa)],[cls_Zorn_OTFin__UnionI_0]) ).
cnf(l8,plain,
( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[1362]) ).
cnf(1366,plain,
~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l15,plain,
~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[1366]) ).
cnf(309,plain,
c_lessequals(X0,X0,tc_set(X1)),
inference(cnf,[status(esa)],[cls_Set_Osubset__refl_0]) ).
cnf(l9,plain,
c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
inference(instantiation,[status(thm)],[309]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l15,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET844-1 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.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 : Mon Jul 21 22:51:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.19/0.37 % launching worker at depth: 3
% 0.19/0.37 % launching worker at depth: 5
% 0.19/0.37 % launching worker at depth: 6
% 0.19/0.37 % launching worker at depth: 2
% 0.19/0.37 % launching worker at depth: 1
% 0.19/0.37 % launching worker at depth: 4
% 0.19/0.37 % launching worker at depth: 7
% 0.19/0.37 % launching worker at depth: 8
% 0.19/0.39 % launching worker at depth: 9
% 4.93/1.02 % launching worker at depth: 10
% 8.10/1.39 % SZS status Theorem for theBenchmark
% 8.10/1.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------