%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET845-2 : 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 03:32:49 PM UTC 2025
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(4,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)],[4]) ).
cnf(3,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
inference(cnf,[status(esa)],[cls_Zorn_OTFin_OsuccI_0]) ).
cnf(l1,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ c_in(X0,X1,tc_set(X2))
| c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
inference(cnf,[status(esa)],[cls_Set_OUnion__upper_0]) ).
cnf(l2,plain,
( ~ c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
inference(cnf,[status(esa)],[cls_Set_Osubset__antisym_0]) ).
cnf(l55,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
inference(cnf,[status(esa)],[cls_Zorn_OAbrial__axiom1_0]) ).
cnf(l57,plain,
c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l9,plain,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l56,plain,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l55,l57,l9,l56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET845-2 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 22:51:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 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: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.39 % launching worker at depth: 11
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------