TSTP Solution File: SET864-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 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 : 600s
% DateTime : Tue Jul 19 04:40:56 EDT 2022
% Result : Unsatisfiable 0.38s 0.56s
% Output : Refutation 0.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
input ).
cnf(cls_conjecture_5,negated_conjecture,
( X21 != v_x(X21)
| ~ c_in(X21,v_S,tc_set(t_a)) ),
input ).
cnf(c11,plain,
c_Union(v_c,t_a) != v_x(c_Union(v_c,t_a)),
inference(resolution,status(thm),[cls_conjecture_5,cls_conjecture_2]) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(v_x(X31),v_S,tc_set(t_a))
| ~ c_in(X31,v_S,tc_set(t_a)) ),
input ).
cnf(c14,plain,
c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)),
inference(resolution,status(thm),[cls_conjecture_3,cls_conjecture_2]) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_lessequals(X41,v_x(X41),tc_set(t_a))
| ~ c_in(X41,v_S,tc_set(t_a)) ),
input ).
cnf(c23,plain,
c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a)),
inference(resolution,status(thm),[cls_conjecture_4,cls_conjecture_2]) ).
cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
( ~ c_in(X12,X11,tc_set(X14))
| ~ c_in(X13,c_Zorn_Omaxchain(X11,X14),tc_set(tc_set(X14)))
| ~ c_lessequals(c_Union(X13,X14),X12,tc_set(X14))
| c_Union(X13,X14) = X12 ),
input ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
input ).
cnf(c10,plain,
( ~ c_in(X54,v_S,tc_set(t_a))
| ~ c_lessequals(c_Union(v_c,t_a),X54,tc_set(t_a))
| c_Union(v_c,t_a) = X54 ),
inference(resolution,status(thm),[cls_conjecture_0,cls_Zorn_Omaxchain__Zorn_0]) ).
cnf(c33,plain,
( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
| c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
inference(resolution,status(thm),[c10,c23]) ).
cnf(c75,plain,
c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)),
inference(resolution,status(thm),[c33,c14]) ).
cnf(c83,plain,
$false,
inference(resolution,status(thm),[c75,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 02:32:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/0.56 # Version: 1.3
% 0.38/0.56 # SZS status Unsatisfiable
% 0.38/0.56 # SZS output start CNFRefutation
% See solution above
% 0.38/0.56
% 0.38/0.56 # Initial clauses : 15
% 0.38/0.56 # Processed clauses : 55
% 0.38/0.56 # Factors computed : 0
% 0.38/0.56 # Resolvents computed: 82
% 0.38/0.56 # Tautologies deleted: 1
% 0.38/0.56 # Forward subsumed : 11
% 0.38/0.56 # Backward subsumed : 1
% 0.38/0.56 # -------- CPU Time ---------
% 0.38/0.56 # User time : 0.206 s
% 0.38/0.56 # System time : 0.012 s
% 0.38/0.56 # Total time : 0.218 s
%------------------------------------------------------------------------------