TSTP Solution File: SET863-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 3.28s 1.14s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 40 ( 9 unt; 16 nHn; 29 RR)
% Number of literals : 125 ( 0 equ; 65 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,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_50,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_51,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_52,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_53,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_54,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_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_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_56,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_57,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_58,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_59,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_60,negated_conjecture,
c_in(v_xa,v_x,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_61,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_62,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_7) ).
cnf(c_314,plain,
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_x,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,t_a),X0,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_320,plain,
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,v_x,t_a),v_x,tc_set(t_a))
| ~ c_in(v_x,v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_x,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_53]) ).
cnf(c_328,plain,
( ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,v_x,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X2,t_a),X0,tc_set(t_a))
| c_in(v_xa,X2,t_a) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_336,plain,
( ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X2,t_a),X2,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,v_x,t_a)
| c_in(v_xa,X2,t_a) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_360,plain,
( ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
| ~ c_in(v_x,v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_x,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_320]) ).
cnf(c_361,plain,
( ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_x,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,t_a),v_c,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_314]) ).
cnf(c_362,plain,
( ~ c_in(c_union(c_insert(v_x,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(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,v_x,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_in(v_xa,X0,t_a) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_364,plain,
( ~ c_in(c_union(c_insert(v_x,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_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(v_xa,v_x,t_a)
| c_in(v_xa,X0,t_a) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_388,plain,
( ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_399,plain,
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_404,plain,
( ~ c_in(c_union(c_insert(v_x,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(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(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_xa,v_x,t_a)
| c_in(v_xa,v_y,t_a) ),
inference(instantiation,[status(thm)],[c_364]) ).
cnf(c_477,plain,
( ~ c_in(X0,v_y,t_a)
| c_in(X0,v_x,t_a) ),
inference(superposition,[status(thm)],[c_59,c_49]) ).
cnf(c_515,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_52,c_62]) ).
cnf(c_625,plain,
( ~ c_in(c_union(c_insert(v_x,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(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,v_x,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a))
| c_in(v_xa,v_y,t_a) ),
inference(instantiation,[status(thm)],[c_362]) ).
cnf(c_793,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_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X3,t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_y,tc_set(t_a))
| c_in(X2,X3,t_a) ),
inference(superposition,[status(thm)],[c_515,c_54]) ).
cnf(c_907,plain,
( ~ c_in(v_c,c_Zorn_Ochain(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_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,X0,t_a),v_y,tc_set(t_a))
| c_in(X1,X2,t_a) ),
inference(superposition,[status(thm)],[c_56,c_793]) ).
cnf(c_908,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,X0,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,X0,t_a),v_y,tc_set(t_a))
| c_in(X1,X2,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_907,c_57]) ).
cnf(c_988,plain,
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_399]) ).
cnf(c_1008,plain,
( ~ c_in(v_x,v_S,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(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a))
| c_in(v_xa,X0,t_a) ),
inference(superposition,[status(thm)],[c_60,c_908]) ).
cnf(c_1012,plain,
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a))
| c_in(v_xa,X0,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1008,c_58]) ).
cnf(c_1416,plain,
c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a)),
inference(global_subsumption_just,[status(thm)],[c_1012,c_60,c_61,c_58,c_57,c_56,c_361,c_388,c_404,c_625,c_988]) ).
cnf(c_1418,plain,
( ~ c_in(X0,c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_in(X0,v_y,t_a) ),
inference(superposition,[status(thm)],[c_1416,c_49]) ).
cnf(c_1499,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_50,c_1418]) ).
cnf(c_1556,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_x,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_1499,c_477]) ).
cnf(c_1699,plain,
c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)),
inference(superposition,[status(thm)],[c_1556,c_51]) ).
cnf(c_1701,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1699,c_988,c_625,c_404,c_360,c_56,c_57,c_58,c_61,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 15:52:32 EDT 2023
% 0.13/0.35 % 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
% 3.28/1.14 % SZS status Started for theBenchmark.p
% 3.28/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.28/1.14
% 3.28/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.28/1.14
% 3.28/1.14 ------ iProver source info
% 3.28/1.14
% 3.28/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.28/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.28/1.14 git: non_committed_changes: false
% 3.28/1.14 git: last_make_outside_of_git: false
% 3.28/1.14
% 3.28/1.14 ------ Parsing...successful
% 3.28/1.14
% 3.28/1.14
% 3.28/1.14
% 3.28/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.28/1.14
% 3.28/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.28/1.14 ------ Proving...
% 3.28/1.14 ------ Problem Properties
% 3.28/1.14
% 3.28/1.14
% 3.28/1.14 clauses 14
% 3.28/1.14 conjectures 7
% 3.28/1.14 EPR 2
% 3.28/1.14 Horn 11
% 3.28/1.14 unary 6
% 3.28/1.14 binary 3
% 3.28/1.14 lits 33
% 3.28/1.14 lits eq 0
% 3.28/1.14 fd_pure 0
% 3.28/1.14 fd_pseudo 0
% 3.28/1.14 fd_cond 0
% 3.28/1.14 fd_pseudo_cond 0
% 3.28/1.14 AC symbols 0
% 3.28/1.14
% 3.28/1.14 ------ Schedule dynamic 5 is on
% 3.28/1.14
% 3.28/1.14 ------ no equalities: superposition off
% 3.28/1.14
% 3.28/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.28/1.14
% 3.28/1.14
% 3.28/1.14 ------
% 3.28/1.14 Current options:
% 3.28/1.14 ------
% 3.28/1.14
% 3.28/1.14
% 3.28/1.14
% 3.28/1.14
% 3.28/1.14 ------ Proving...
% 3.28/1.14
% 3.28/1.14
% 3.28/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.28/1.14
% 3.28/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/1.14
% 3.28/1.14
%------------------------------------------------------------------------------