TSTP Solution File: SET862-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 : Thu Aug 31 15:10:23 EDT 2023
% Result : Unsatisfiable 9.93s 2.14s
% Output : CNFRefutation 9.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of clauses : 70 ( 10 unt; 36 nHn; 45 RR)
% Number of literals : 228 ( 4 equ; 91 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 106 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(c_50,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(X3,X0,X2)
| c_in(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(c_51,plain,
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(c_52,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(c_53,plain,
( ~ c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,X1,tc_set(X2))
| c_in(c_union(c_insert(X3,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X0,X3,X2),X0,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).
cnf(c_54,plain,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,c_Zorn_Ochain(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X3,tc_set(X2))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X3,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
cnf(c_55,plain,
( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X1)),X2,tc_set(X1)),c_Zorn_Ochain(X3,X1),tc_set(tc_set(X1)))
| ~ c_in(X2,c_Zorn_Omaxchain(X3,X1),tc_set(tc_set(X1)))
| ~ c_in(X4,X0,X1)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X2,X5,X1),X2,tc_set(X1))
| c_in(X4,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
cnf(c_56,plain,
( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X1)),X2,tc_set(X1)),c_Zorn_Ochain(X3,X1),tc_set(tc_set(X1)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X2,X4,X1),X4,tc_set(X1))
| ~ c_in(X2,c_Zorn_Omaxchain(X3,X1),tc_set(tc_set(X1)))
| ~ c_in(X5,X0,X1)
| c_in(X5,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
cnf(c_57,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_58,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_59,negated_conjecture,
c_in(v_y,v_S,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_60,negated_conjecture,
( ~ c_in(X0,v_c,tc_set(t_a))
| c_lessequals(X0,v_y,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_61,negated_conjecture,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_in(v_x(X0),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_62,negated_conjecture,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(X0,v_x(X0),tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_63,negated_conjecture,
( v_x(X0) != X0
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_556,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_in(X1,v_x(X0),t_a) ),
inference(superposition,[status(thm)],[c_62,c_50]) ).
cnf(c_590,plain,
( ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X0,tc_set(t_a))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_53,c_60]) ).
cnf(c_606,plain,
( ~ c_in(X0,v_y,t_a)
| c_in(X0,v_x(v_y),t_a) ),
inference(superposition,[status(thm)],[c_59,c_556]) ).
cnf(c_629,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,v_x(v_y),t_a),v_y,t_a)
| c_lessequals(X0,v_x(v_y),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_606,c_52]) ).
cnf(c_637,plain,
c_lessequals(v_y,v_x(v_y),tc_set(t_a)),
inference(superposition,[status(thm)],[c_51,c_629]) ).
cnf(c_724,plain,
( ~ c_lessequals(v_x(v_y),v_y,tc_set(t_a))
| v_x(v_y) = v_y ),
inference(superposition,[status(thm)],[c_637,c_49]) ).
cnf(c_747,plain,
( ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X0,tc_set(t_a))
| ~ c_in(X2,X1,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X3,t_a),v_c,tc_set(t_a))
| c_in(X2,X3,t_a) ),
inference(superposition,[status(thm)],[c_590,c_55]) ).
cnf(c_788,plain,
( ~ c_in(v_y,v_S,tc_set(t_a))
| c_in(v_x(v_y),v_S,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_797,plain,
( v_x(v_y) != v_y
| ~ c_in(v_y,v_S,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_808,plain,
~ c_lessequals(v_x(v_y),v_y,tc_set(t_a)),
inference(global_subsumption_just,[status(thm)],[c_724,c_59,c_724,c_797]) ).
cnf(c_1084,plain,
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X0,v_x(v_y),t_a),X0,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1086,plain,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,v_x(v_y),t_a),v_x(v_y),tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2072,plain,
( ~ c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,X0),v_y,X0)
| c_lessequals(v_x(v_y),v_y,tc_set(X0)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_2073,plain,
( c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,X0),v_x(v_y),X0)
| c_lessequals(v_x(v_y),v_y,tc_set(X0)) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2074,plain,
( c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),v_x(v_y),t_a)
| c_lessequals(v_x(v_y),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_2073]) ).
cnf(c_2075,plain,
( ~ c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),v_y,t_a)
| c_lessequals(v_x(v_y),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_2072]) ).
cnf(c_2323,plain,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_x(v_y),tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_1086]) ).
cnf(c_2391,plain,
( ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_1084]) ).
cnf(c_3592,plain,
( ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_4161,plain,
( ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))
| c_in(X1,X2,t_a) ),
inference(superposition,[status(thm)],[c_58,c_747]) ).
cnf(c_4162,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))
| c_in(X1,X2,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4161,c_57]) ).
cnf(c_4185,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(X0,X2,t_a),X1,t_a)
| c_lessequals(X0,X2,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_51,c_4162]) ).
cnf(c_4188,plain,
( ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| ~ c_in(X0,v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X0,X1,t_a) ),
inference(superposition,[status(thm)],[c_606,c_4162]) ).
cnf(c_5170,plain,
( ~ c_in(X0,v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X0,X1,t_a) ),
inference(global_subsumption_just,[status(thm)],[c_4188,c_59,c_788,c_4188]) ).
cnf(c_5181,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_y,X1,t_a),X0,t_a)
| c_lessequals(v_y,X1,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_51,c_5170]) ).
cnf(c_5214,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_lessequals(X0,X1,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_4185,c_52]) ).
cnf(c_5255,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_y,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(X0,X2,t_a),X1,t_a)
| c_lessequals(X0,X2,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_4185,c_60]) ).
cnf(c_5672,plain,
( ~ c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(X0)),X1,tc_set(X0)),c_Zorn_Ochain(X2,X0),tc_set(tc_set(X0)))
| ~ c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,X0),v_x(v_y),X0)
| ~ c_in(X1,c_Zorn_Omaxchain(X2,X0),tc_set(tc_set(X0)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,X0),X1,tc_set(X0))
| c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,X0),X3,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_5674,plain,
( ~ c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(X0)),X1,tc_set(X0)),c_Zorn_Ochain(X2,X0),tc_set(tc_set(X0)))
| ~ c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,X0),v_x(v_y),X0)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,X0),X3,tc_set(X0))
| ~ c_in(X1,c_Zorn_Omaxchain(X2,X0),tc_set(tc_set(X0)))
| c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,X0),X3,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_5688,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_y,tc_set(t_a))
| c_lessequals(X0,X1,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_5255,c_52]) ).
cnf(c_6647,plain,
( ~ c_in(v_x(v_y),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_5214,c_808]) ).
cnf(c_6930,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))
| c_in(X1,X2,t_a) ),
inference(superposition,[status(thm)],[c_5688,c_50]) ).
cnf(c_7276,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_lessequals(v_y,X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_5181,c_52]) ).
cnf(c_7622,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a))
| c_lessequals(v_y,X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_7276,c_60]) ).
cnf(c_7646,plain,
( ~ c_in(X0,c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_lessequals(v_y,X1,tc_set(t_a))
| c_in(X0,v_y,t_a) ),
inference(superposition,[status(thm)],[c_7622,c_50]) ).
cnf(c_7669,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) ),
inference(global_subsumption_just,[status(thm)],[c_6647,c_59,c_788,c_6647]) ).
cnf(c_7676,plain,
( ~ c_in(X0,c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a))
| c_in(X0,v_y,t_a) ),
inference(superposition,[status(thm)],[c_7669,c_50]) ).
cnf(c_7726,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,t_a),v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_51,c_7676]) ).
cnf(c_9871,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X1,t_a),v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X1,tc_set(t_a))
| c_lessequals(v_y,X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_51,c_7646]) ).
cnf(c_10523,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_x(v_y),tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_7726,c_629]) ).
cnf(c_18149,plain,
( ~ c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),v_x(v_y),t_a)
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),X0,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_5672]) ).
cnf(c_18217,plain,
( ~ c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),v_x(v_y),t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X0,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),X0,t_a) ),
inference(instantiation,[status(thm)],[c_5674]) ).
cnf(c_19893,plain,
( ~ c_in(v_y,v_S,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,t_a),X1,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_y,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_y,t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_7726,c_6930]) ).
cnf(c_19975,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,t_a),X1,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_y,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_y,t_a),v_y,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19893,c_59]) ).
cnf(c_21957,plain,
( ~ c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),v_x(v_y),t_a)
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),v_y,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_18149]) ).
cnf(c_21977,plain,
c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)),
inference(global_subsumption_just,[status(thm)],[c_19975,c_59,c_58,c_57,c_724,c_788,c_797,c_2074,c_2075,c_2323,c_10523,c_21957]) ).
cnf(c_21979,plain,
c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_y,tc_set(t_a)),
inference(superposition,[status(thm)],[c_21977,c_60]) ).
cnf(c_30307,plain,
( ~ c_in(v_y,v_S,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X1,t_a),X2,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X1,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_y,t_a),v_y,tc_set(t_a))
| c_lessequals(v_y,X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_9871,c_4162]) ).
cnf(c_30379,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X1,t_a),X2,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X1,tc_set(t_a))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_y,t_a),v_y,tc_set(t_a))
| c_lessequals(v_y,X0,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30307,c_59]) ).
cnf(c_43335,plain,
( ~ c_in(c_union(c_insert(v_x(v_y),c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),v_x(v_y),t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_y,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(v_x(v_y),v_y,t_a),v_y,t_a) ),
inference(instantiation,[status(thm)],[c_18217]) ).
cnf(c_43481,plain,
c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_y,tc_set(t_a)),
inference(global_subsumption_just,[status(thm)],[c_30379,c_59,c_58,c_57,c_724,c_788,c_797,c_2074,c_2075,c_2391,c_3592,c_21979,c_43335]) ).
cnf(c_43484,plain,
( ~ c_in(X0,c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),t_a)
| c_in(X0,v_y,t_a) ),
inference(superposition,[status(thm)],[c_43481,c_50]) ).
cnf(c_43513,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,t_a),v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_51,c_43484]) ).
cnf(c_43629,plain,
c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x(v_y),t_a),v_x(v_y),tc_set(t_a)),
inference(superposition,[status(thm)],[c_43513,c_629]) ).
cnf(c_43656,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43629,c_43335,c_21979,c_2323,c_2075,c_2074,c_797,c_788,c_724,c_57,c_58,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n019.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 09:32:58 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.93/2.14 % SZS status Started for theBenchmark.p
% 9.93/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 9.93/2.14
% 9.93/2.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.93/2.14
% 9.93/2.14 ------ iProver source info
% 9.93/2.14
% 9.93/2.14 git: date: 2023-05-31 18:12:56 +0000
% 9.93/2.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.93/2.14 git: non_committed_changes: false
% 9.93/2.14 git: last_make_outside_of_git: false
% 9.93/2.14
% 9.93/2.14 ------ Parsing...successful
% 9.93/2.14
% 9.93/2.14
% 9.93/2.14
% 9.93/2.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 9.93/2.14
% 9.93/2.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.93/2.14
% 9.93/2.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.93/2.14 ------ Proving...
% 9.93/2.14 ------ Problem Properties
% 9.93/2.14
% 9.93/2.14
% 9.93/2.14 clauses 15
% 9.93/2.14 conjectures 7
% 9.93/2.14 EPR 0
% 9.93/2.14 Horn 12
% 9.93/2.14 unary 3
% 9.93/2.14 binary 6
% 9.93/2.14 lits 39
% 9.93/2.14 lits eq 2
% 9.93/2.14 fd_pure 0
% 9.93/2.14 fd_pseudo 0
% 9.93/2.14 fd_cond 0
% 9.93/2.14 fd_pseudo_cond 1
% 9.93/2.14 AC symbols 0
% 9.93/2.14
% 9.93/2.14 ------ Schedule dynamic 5 is on
% 9.93/2.14
% 9.93/2.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.93/2.14
% 9.93/2.14
% 9.93/2.14 ------
% 9.93/2.14 Current options:
% 9.93/2.14 ------
% 9.93/2.14
% 9.93/2.14
% 9.93/2.14
% 9.93/2.14
% 9.93/2.14 ------ Proving...
% 9.93/2.14
% 9.93/2.14
% 9.93/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 9.93/2.14
% 9.93/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.93/2.14
% 9.93/2.15
%------------------------------------------------------------------------------