TSTP Solution File: SET843-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET843-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 03:01:45 EDT 2024
% Result : Unsatisfiable 8.18s 1.64s
% Output : CNFRefutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 7 unt; 5 nHn; 24 RR)
% Number of literals : 55 ( 16 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 35 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
( ~ c_in(X0,X1,tc_set(X2))
| c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
cnf(c_52,plain,
c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
cnf(c_53,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/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
cnf(c_54,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_55,plain,
( c_Zorn_Osucc(X0,X1,X2) != X1
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).
cnf(c_56,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(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_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != v_m
| c_Zorn_Osucc(v_S,v_m,t_a) != v_m ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_58,negated_conjecture,
( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = v_m
| c_Zorn_Osucc(v_S,v_m,t_a) = v_m ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_169,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).
cnf(c_170,plain,
c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
cnf(c_23508,plain,
( ~ c_lessequals(c_Zorn_Osucc(X0,X1,X2),X1,tc_set(tc_set(X2)))
| c_Zorn_Osucc(X0,X1,X2) = X1 ),
inference(superposition,[status(thm)],[c_52,c_169]) ).
cnf(c_23516,plain,
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(v_S,v_m,t_a) = v_m
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_58,c_51]) ).
cnf(c_23578,plain,
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(v_S,v_m,t_a) = v_m
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_53,c_23516]) ).
cnf(c_23579,plain,
( ~ c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| c_Zorn_Osucc(v_S,v_m,t_a) = v_m
| c_lessequals(c_Union(X0,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_54,c_23516]) ).
cnf(c_23604,plain,
( ~ c_lessequals(c_Union(X0,X1),X2,tc_set(X1))
| ~ c_in(X2,X0,tc_set(X1))
| c_Union(X0,X1) = X2 ),
inference(superposition,[status(thm)],[c_51,c_169]) ).
cnf(c_23649,plain,
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(v_S,v_m,t_a) = v_m
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_58,c_51]) ).
cnf(c_23733,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Osucc(v_S,v_m,t_a) = v_m ),
inference(superposition,[status(thm)],[c_23578,c_23508]) ).
cnf(c_23741,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
inference(global_subsumption_just,[status(thm)],[c_23579,c_56,c_23733]) ).
cnf(c_23746,plain,
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_23741,c_55]) ).
cnf(c_23786,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
inference(global_subsumption_just,[status(thm)],[c_23649,c_56,c_23733]) ).
cnf(c_23791,plain,
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_23786,c_55]) ).
cnf(c_24025,plain,
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(global_subsumption_just,[status(thm)],[c_23791,c_56,c_23746]) ).
cnf(c_24032,plain,
( ~ c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| c_lessequals(c_Union(X0,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_54,c_24025]) ).
cnf(c_24342,plain,
c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(superposition,[status(thm)],[c_170,c_24032]) ).
cnf(c_25197,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = v_m ),
inference(superposition,[status(thm)],[c_24342,c_23604]) ).
cnf(c_25199,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_25197,c_23733,c_57,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET843-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:36:33 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.18/1.64 % SZS status Started for theBenchmark.p
% 8.18/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.18/1.64
% 8.18/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.18/1.64
% 8.18/1.64 ------ iProver source info
% 8.18/1.64
% 8.18/1.64 git: date: 2024-05-02 19:28:25 +0000
% 8.18/1.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.18/1.64 git: non_committed_changes: false
% 8.18/1.64
% 8.18/1.64 ------ Parsing...successful
% 8.18/1.64
% 8.18/1.64
% 8.18/1.64
% 8.18/1.64 ------ Preprocessing... sup_sim: 1 sf_s rm: 823 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e
% 8.18/1.64
% 8.18/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.18/1.64
% 8.18/1.64 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.18/1.64 ------ Proving...
% 8.18/1.64 ------ Problem Properties
% 8.18/1.64
% 8.18/1.64
% 8.18/1.64 clauses 305
% 8.18/1.64 conjectures 3
% 8.18/1.64 EPR 26
% 8.18/1.64 Horn 276
% 8.18/1.64 unary 77
% 8.18/1.64 binary 180
% 8.18/1.64 lits 582
% 8.18/1.64 lits eq 167
% 8.18/1.64 fd_pure 0
% 8.18/1.64 fd_pseudo 0
% 8.18/1.64 fd_cond 21
% 8.18/1.64 fd_pseudo_cond 40
% 8.18/1.64 AC symbols 0
% 8.18/1.64
% 8.18/1.64 ------ Input Options Time Limit: Unbounded
% 8.18/1.64
% 8.18/1.64
% 8.18/1.64 ------
% 8.18/1.64 Current options:
% 8.18/1.64 ------
% 8.18/1.64
% 8.18/1.64
% 8.18/1.64
% 8.18/1.64
% 8.18/1.64 ------ Proving...
% 8.18/1.64
% 8.18/1.64
% 8.18/1.64 ------ Proving...
% 8.18/1.64
% 8.18/1.64
% 8.18/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.18/1.64
% 8.18/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.18/1.64
% 8.18/1.64
%------------------------------------------------------------------------------