TSTP Solution File: SET847-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET847-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 15:10:15 EDT 2023
% Result : Unsatisfiable 2.14s 1.19s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 12 unt; 2 nHn; 17 RR)
% Number of literals : 36 ( 7 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
cnf(c_50,plain,
~ c_in(X0,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
cnf(c_51,plain,
c_lessequals(c_emptyset,X0,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
cnf(c_52,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_53,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_54,plain,
c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(c_55,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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(c_56,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
cnf(c_57,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
| c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
cnf(c_58,plain,
( c_Zorn_Osucc(X0,X1,X2) != X1
| ~ c_in(X1,c_minus(c_Zorn_Ochain(X0,X2),c_Zorn_Omaxchain(X0,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
cnf(c_59,negated_conjecture,
~ c_in(X0,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_362,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a)))),
inference(superposition,[status(thm)],[c_52,c_59]) ).
cnf(c_372,plain,
( ~ c_lessequals(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| c_Zorn_Omaxchain(v_S,t_a) = X0 ),
inference(superposition,[status(thm)],[c_362,c_53]) ).
cnf(c_382,plain,
c_Zorn_Omaxchain(v_S,t_a) = c_emptyset,
inference(superposition,[status(thm)],[c_51,c_372]) ).
cnf(c_408,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_Ochain(X1,X2),tc_set(tc_set(X2))) ),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_434,plain,
( ~ c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1))))
| c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) ),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_435,plain,
c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_434,c_54]) ).
cnf(c_437,plain,
~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_minus(c_Zorn_Ochain(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1))),
inference(superposition,[status(thm)],[c_435,c_58]) ).
cnf(c_440,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))),
inference(superposition,[status(thm)],[c_382,c_437]) ).
cnf(c_444,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(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_emptyset,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_49,c_440]) ).
cnf(c_445,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
inference(forward_subsumption_resolution,[status(thm)],[c_444,c_50]) ).
cnf(c_446,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(superposition,[status(thm)],[c_408,c_445]) ).
cnf(c_447,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_446,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET847-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 09:21:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.14/1.19 % SZS status Started for theBenchmark.p
% 2.14/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.19
% 2.14/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.14/1.19
% 2.14/1.19 ------ iProver source info
% 2.14/1.19
% 2.14/1.19 git: date: 2023-05-31 18:12:56 +0000
% 2.14/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.14/1.19 git: non_committed_changes: false
% 2.14/1.19 git: last_make_outside_of_git: false
% 2.14/1.19
% 2.14/1.19 ------ Parsing...successful
% 2.14/1.19
% 2.14/1.19
% 2.14/1.19
% 2.14/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.14/1.19
% 2.14/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.14/1.19
% 2.14/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.14/1.19 ------ Proving...
% 2.14/1.19 ------ Problem Properties
% 2.14/1.19
% 2.14/1.19
% 2.14/1.19 clauses 11
% 2.14/1.19 conjectures 1
% 2.14/1.19 EPR 1
% 2.14/1.19 Horn 9
% 2.14/1.19 unary 4
% 2.14/1.19 binary 5
% 2.14/1.19 lits 20
% 2.14/1.19 lits eq 3
% 2.14/1.19 fd_pure 0
% 2.14/1.19 fd_pseudo 0
% 2.14/1.19 fd_cond 0
% 2.14/1.19 fd_pseudo_cond 1
% 2.14/1.19 AC symbols 0
% 2.14/1.19
% 2.14/1.19 ------ Schedule dynamic 5 is on
% 2.14/1.19
% 2.14/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.14/1.19
% 2.14/1.19
% 2.14/1.19 ------
% 2.14/1.19 Current options:
% 2.14/1.19 ------
% 2.14/1.19
% 2.14/1.19
% 2.14/1.19
% 2.14/1.19
% 2.14/1.19 ------ Proving...
% 2.14/1.19
% 2.14/1.19
% 2.14/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.19
% 2.14/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.14/1.19
% 2.14/1.19
%------------------------------------------------------------------------------