TSTP Solution File: SET846-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET846-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 1.77s 1.19s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_in(X0,X1,tc_set(X2))
| c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
cnf(c_50,plain,
c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(c_51,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_52,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_53,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_74,plain,
~ c_in(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c_49,c_53]) ).
cnf(c_78,plain,
c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
inference(resolution,[status(thm)],[c_50,c_52]) ).
cnf(c_93,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_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_97,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_98,plain,
c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_99,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_98,c_97,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET846-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 20:31:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.48 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
% 1.77/1.19 % SZS status Started for theBenchmark.p
% 1.77/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.77/1.19
% 1.77/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.77/1.19
% 1.77/1.19 ------ iProver source info
% 1.77/1.19
% 1.77/1.19 git: date: 2024-05-02 19:28:25 +0000
% 1.77/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.77/1.19 git: non_committed_changes: false
% 1.77/1.19
% 1.77/1.19 ------ Parsing...successful
% 1.77/1.19
% 1.77/1.19
% 1.77/1.19
% 1.77/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.77/1.19
% 1.77/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.77/1.19 ------ Proving...
% 1.77/1.19 ------ Problem Properties
% 1.77/1.19
% 1.77/1.19
% 1.77/1.19 clauses 3
% 1.77/1.19 conjectures 0
% 1.77/1.19 EPR 0
% 1.77/1.19 Horn 3
% 1.77/1.19 unary 2
% 1.77/1.19 binary 1
% 1.77/1.19 lits 4
% 1.77/1.19 lits eq 0
% 1.77/1.19 fd_pure 0
% 1.77/1.19 fd_pseudo 0
% 1.77/1.19 fd_cond 0
% 1.77/1.19 fd_pseudo_cond 0
% 1.77/1.19 AC symbols 0
% 1.77/1.19
% 1.77/1.19 ------ Schedule dynamic 5 is on
% 1.77/1.19
% 1.77/1.19 ------ no conjectures: strip conj schedule
% 1.77/1.19
% 1.77/1.19 ------ no equalities: superposition off
% 1.77/1.19
% 1.77/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.77/1.19
% 1.77/1.19
% 1.77/1.19 ------
% 1.77/1.19 Current options:
% 1.77/1.19 ------
% 1.77/1.19
% 1.77/1.19
% 1.77/1.19
% 1.77/1.19
% 1.77/1.19 ------ Proving...
% 1.77/1.19
% 1.77/1.19
% 1.77/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.77/1.19
% 1.77/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.77/1.19
% 1.77/1.19
%------------------------------------------------------------------------------