TSTP Solution File: SET847-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET847-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 May 3 03:01:46 EDT 2024
% Result : Unsatisfiable 54.24s 8.23s
% Output : CNFRefutation 54.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 7 unt; 1 nHn; 13 RR)
% Number of literals : 30 ( 4 equ; 14 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 : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 40 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
cnf(c_50,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/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(c_51,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/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
cnf(c_53,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/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
cnf(c_54,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/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
cnf(c_55,negated_conjecture,
~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_167,plain,
c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
cnf(c_1373,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/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffI_0) ).
cnf(c_2383,plain,
( ~ c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1))))
| c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2384,plain,
c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1)))),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_3425,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_3548,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_50,c_53]) ).
cnf(c_3553,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(global_subsumption_just,[status(thm)],[c_3548,c_53,c_2383,c_2384]) ).
cnf(c_3655,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
| c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))) ),
inference(superposition,[status(thm)],[c_3553,c_3425]) ).
cnf(c_3658,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_3553,c_54]) ).
cnf(c_3735,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1)))
| c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))) ),
inference(superposition,[status(thm)],[c_1373,c_3658]) ).
cnf(c_3737,plain,
c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
inference(global_subsumption_just,[status(thm)],[c_3735,c_2383,c_2384,c_3655,c_3735]) ).
cnf(c_3746,plain,
$false,
inference(superposition,[status(thm)],[c_3737,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET847-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n022.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 : Thu May 2 20:35:27 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 54.24/8.23 % SZS status Started for theBenchmark.p
% 54.24/8.23 % SZS status Unsatisfiable for theBenchmark.p
% 54.24/8.23
% 54.24/8.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 54.24/8.23
% 54.24/8.23 ------ iProver source info
% 54.24/8.23
% 54.24/8.23 git: date: 2024-05-02 19:28:25 +0000
% 54.24/8.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 54.24/8.23 git: non_committed_changes: false
% 54.24/8.23
% 54.24/8.23 ------ Parsing...successful
% 54.24/8.23
% 54.24/8.23
% 54.24/8.23
% 54.24/8.23 ------ Preprocessing... sf_s rm: 823 0s sf_e sf_s rm: 43 0s sf_e
% 54.24/8.23
% 54.24/8.23 ------ Preprocessing...
% 54.24/8.23
% 54.24/8.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 54.24/8.23 ------ Proving...
% 54.24/8.23 ------ Problem Properties
% 54.24/8.23
% 54.24/8.23
% 54.24/8.23 clauses 557
% 54.24/8.23 conjectures 1
% 54.24/8.23 EPR 284
% 54.24/8.23 Horn 530
% 54.24/8.23 unary 125
% 54.24/8.23 binary 376
% 54.24/8.23 lits 1045
% 54.24/8.23 lits eq 161
% 54.24/8.23 fd_pure 0
% 54.24/8.23 fd_pseudo 0
% 54.24/8.23 fd_cond 21
% 54.24/8.23 fd_pseudo_cond 38
% 54.24/8.23 AC symbols 0
% 54.24/8.23
% 54.24/8.23 ------ Input Options Time Limit: Unbounded
% 54.24/8.23
% 54.24/8.23
% 54.24/8.23 ------
% 54.24/8.23 Current options:
% 54.24/8.23 ------
% 54.24/8.23
% 54.24/8.23
% 54.24/8.23
% 54.24/8.23
% 54.24/8.23 ------ Proving...
% 54.24/8.23
% 54.24/8.23
% 54.24/8.23 % SZS status Unsatisfiable for theBenchmark.p
% 54.24/8.23
% 54.24/8.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.24/8.23
% 54.24/8.23
%------------------------------------------------------------------------------