TSTP Solution File: SET858-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 04:40:52 EDT 2022
% Result : Unsatisfiable 174.62s 174.79s
% Output : Refutation 174.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
input ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
c_lessequals(X16,c_Zorn_Osucc(X15,X16,X14),tc_set(tc_set(X14))),
input ).
cnf(cls_Set_Osubset__trans_0,axiom,
( ~ c_lessequals(X29,X28,tc_set(X27))
| ~ c_lessequals(X26,X29,tc_set(X27))
| c_lessequals(X26,X28,tc_set(X27)) ),
input ).
cnf(c11,plain,
( ~ c_lessequals(c_Zorn_Osucc(X48,X47,X46),X49,tc_set(tc_set(X46)))
| c_lessequals(X47,X49,tc_set(tc_set(X46))) ),
inference(resolution,status(thm),[cls_Set_Osubset__trans_0,cls_Zorn_OAbrial__axiom1_0]) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
input ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
input ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
input ).
cnf(cls_Zorn_OTFin__linear__lemma1_2,axiom,
( ~ c_in(X95,c_Zorn_OTFin(X94,X93),tc_set(tc_set(X93)))
| ~ c_in(X92,c_Zorn_OTFin(X94,X93),tc_set(tc_set(X93)))
| c_Zorn_OTFin__linear__lemma1__1(X94,X95,X93) != X95
| c_lessequals(X92,X95,tc_set(tc_set(X93)))
| c_lessequals(c_Zorn_Osucc(X94,X95,X93),X92,tc_set(tc_set(X93))) ),
input ).
cnf(c31,plain,
( ~ c_in(X324,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,X324,t_a) != X324
| c_lessequals(v_m,X324,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X324,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[cls_Zorn_OTFin__linear__lemma1_2,cls_conjecture_0]) ).
cnf(c90,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) != v_n
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c31,cls_conjecture_1]) ).
cnf(cls_Zorn_OTFin__linear__lemma1_3,axiom,
( ~ c_in(X121,c_Zorn_OTFin(X120,X119),tc_set(tc_set(X119)))
| ~ c_in(X118,c_Zorn_OTFin(X120,X119),tc_set(tc_set(X119)))
| ~ c_lessequals(c_Zorn_Osucc(X120,c_Zorn_OTFin__linear__lemma1__1(X120,X121,X119),X119),X121,tc_set(tc_set(X119)))
| c_lessequals(X118,X121,tc_set(tc_set(X119)))
| c_lessequals(c_Zorn_Osucc(X120,X121,X119),X118,tc_set(tc_set(X119))) ),
input ).
cnf(cls_Zorn_OTFin__linear__lemma1_1,axiom,
( ~ c_in(X68,c_Zorn_OTFin(X67,X66),tc_set(tc_set(X66)))
| ~ c_in(X65,c_Zorn_OTFin(X67,X66),tc_set(tc_set(X66)))
| c_lessequals(X65,X68,tc_set(tc_set(X66)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X67,X68,X66),X68,tc_set(tc_set(X66)))
| c_lessequals(c_Zorn_Osucc(X67,X68,X66),X65,tc_set(tc_set(X66))) ),
input ).
cnf(c25,plain,
( ~ c_in(X246,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_m,X246,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X246,t_a),X246,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X246,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[cls_Zorn_OTFin__linear__lemma1_1,cls_conjecture_0]) ).
cnf(c72,plain,
( c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c25,cls_conjecture_1]) ).
cnf(c321,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c72,cls_conjecture_3]) ).
cnf(c331,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c321,c11]) ).
cnf(c336,plain,
c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a))),
inference(resolution,status(thm),[c331,cls_conjecture_2]) ).
cnf(cls_Zorn_OTFin__linear__lemma2_0,axiom,
( ~ c_in(X150,c_Zorn_OTFin(X148,X147),tc_set(tc_set(X147)))
| ~ c_in(X149,c_Zorn_OTFin(X148,X147),tc_set(tc_set(X147)))
| ~ c_lessequals(X150,X149,tc_set(tc_set(X147)))
| c_lessequals(c_Zorn_Osucc(X148,X150,X147),X149,tc_set(tc_set(X147)))
| X150 = X149 ),
input ).
cnf(c45,plain,
( ~ c_in(X442,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(X442,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X442,t_a),v_n,tc_set(tc_set(t_a)))
| X442 = v_n ),
inference(resolution,status(thm),[cls_Zorn_OTFin__linear__lemma2_0,cls_conjecture_1]) ).
cnf(cls_Zorn_OTFin__linear__lemma1_0,axiom,
( ~ c_in(X39,c_Zorn_OTFin(X38,X37),tc_set(tc_set(X37)))
| ~ c_in(X36,c_Zorn_OTFin(X38,X37),tc_set(tc_set(X37)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X38,X39,X37),c_Zorn_OTFin(X38,X37),tc_set(tc_set(X37)))
| c_lessequals(X36,X39,tc_set(tc_set(X37)))
| c_lessequals(c_Zorn_Osucc(X38,X39,X37),X36,tc_set(tc_set(X37))) ),
input ).
cnf(c14,plain,
( ~ c_in(X160,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X160,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_m,X160,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X160,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[cls_Zorn_OTFin__linear__lemma1_0,cls_conjecture_0]) ).
cnf(c51,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c14,cls_conjecture_1]) ).
cnf(c174,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c51,cls_conjecture_3]) ).
cnf(c193,plain,
( c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c174,c11]) ).
cnf(c209,plain,
c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(resolution,status(thm),[c193,cls_conjecture_2]) ).
cnf(c222,plain,
( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = v_n ),
inference(resolution,status(thm),[c209,c45]) ).
cnf(c770,plain,
( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = v_n ),
inference(resolution,status(thm),[c222,c336]) ).
cnf(c771,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = v_n
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X7908,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X7908,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X7908,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c770,cls_Zorn_OTFin__linear__lemma1_3]) ).
cnf(c47777,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = v_n
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c771,cls_conjecture_0]) ).
cnf(c59653,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = v_n
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c47777,cls_conjecture_1]) ).
cnf(c59671,plain,
( c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c59653,c90]) ).
cnf(c59699,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
inference(resolution,status(thm),[c59671,cls_conjecture_3]) ).
cnf(c59712,plain,
c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
inference(resolution,status(thm),[c59699,c11]) ).
cnf(c59717,plain,
$false,
inference(resolution,status(thm),[c59712,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET858-2 : 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 : n005.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 01:01:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 174.62/174.79 # Version: 1.3
% 174.62/174.79 # SZS status Unsatisfiable
% 174.62/174.79 # SZS output start CNFRefutation
% See solution above
% 174.62/174.79
% 174.62/174.79 # Initial clauses : 20
% 174.62/174.79 # Processed clauses : 1546
% 174.62/174.79 # Factors computed : 0
% 174.62/174.79 # Resolvents computed: 59715
% 174.62/174.79 # Tautologies deleted: 27
% 174.62/174.79 # Forward subsumed : 6313
% 174.62/174.79 # Backward subsumed : 1160
% 174.62/174.79 # -------- CPU Time ---------
% 174.62/174.79 # User time : 174.180 s
% 174.62/174.79 # System time : 0.276 s
% 174.62/174.79 # Total time : 174.456 s
%------------------------------------------------------------------------------