TSTP Solution File: SET865-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET865-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 03:01:52 EDT 2024
% Result : Unsatisfiable 7.85s 1.64s
% Output : CNFRefutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 6 unt; 0 nHn; 13 RR)
% Number of literals : 31 ( 4 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
cnf(c_50,plain,
( ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Union(X0,X2),X3,tc_set(X2))
| ~ c_in(X3,X1,tc_set(X2))
| c_Union(X0,X2) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
cnf(c_51,plain,
c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
cnf(c_52,negated_conjecture,
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_53,negated_conjecture,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_in(v_x(X0),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_54,negated_conjecture,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(X0,v_x(X0),tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_55,negated_conjecture,
( v_x(X0) != X0
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_163,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(X3,X0,X2)
| c_in(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
cnf(c_23370,plain,
( ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
inference(superposition,[status(thm)],[c_51,c_163]) ).
cnf(c_23403,plain,
( ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X0,X1),X1),X2,tc_set(X1))
| ~ c_in(X2,X0,tc_set(X1))
| c_Union(c_Zorn_OHausdorff__1(X0,X1),X1) = X2 ),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_23416,plain,
c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
inference(superposition,[status(thm)],[c_49,c_23370]) ).
cnf(c_23446,plain,
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a))
| v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)) = c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) ),
inference(superposition,[status(thm)],[c_54,c_23403]) ).
cnf(c_23456,plain,
c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(superposition,[status(thm)],[c_23416,c_52]) ).
cnf(c_23487,plain,
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23446,c_55]) ).
cnf(c_23490,plain,
~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(superposition,[status(thm)],[c_53,c_23487]) ).
cnf(c_23492,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23490,c_23456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET865-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n012.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 20:31:25 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 7.85/1.64 % SZS status Started for theBenchmark.p
% 7.85/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.85/1.64
% 7.85/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.85/1.64
% 7.85/1.64 ------ iProver source info
% 7.85/1.64
% 7.85/1.64 git: date: 2024-05-02 19:28:25 +0000
% 7.85/1.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.85/1.64 git: non_committed_changes: false
% 7.85/1.64
% 7.85/1.64 ------ Parsing...successful
% 7.85/1.64
% 7.85/1.64
% 7.85/1.64
% 7.85/1.64 ------ 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
% 7.85/1.64
% 7.85/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.85/1.64
% 7.85/1.64 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.85/1.64 ------ Proving...
% 7.85/1.64 ------ Problem Properties
% 7.85/1.64
% 7.85/1.64
% 7.85/1.64 clauses 302
% 7.85/1.64 conjectures 4
% 7.85/1.64 EPR 26
% 7.85/1.64 Horn 275
% 7.85/1.64 unary 77
% 7.85/1.64 binary 177
% 7.85/1.64 lits 576
% 7.85/1.64 lits eq 164
% 7.85/1.64 fd_pure 0
% 7.85/1.64 fd_pseudo 0
% 7.85/1.64 fd_cond 21
% 7.85/1.64 fd_pseudo_cond 41
% 7.85/1.64 AC symbols 0
% 7.85/1.64
% 7.85/1.64 ------ Input Options Time Limit: Unbounded
% 7.85/1.64
% 7.85/1.64
% 7.85/1.64 ------
% 7.85/1.64 Current options:
% 7.85/1.64 ------
% 7.85/1.64
% 7.85/1.64
% 7.85/1.64
% 7.85/1.64
% 7.85/1.64 ------ Proving...
% 7.85/1.64
% 7.85/1.64
% 7.85/1.64 ------ Proving...
% 7.85/1.64
% 7.85/1.64
% 7.85/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.85/1.64
% 7.85/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.85/1.64
% 7.85/1.64
%------------------------------------------------------------------------------