TSTP Solution File: SET839-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 04:40:38 EDT 2022
% Result : Unsatisfiable 102.38s 102.59s
% Output : Refutation 102.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(v_S,c_insert(X12,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
input ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X22,X23,X21),X23,X21)
| c_lessequals(X22,X23,tc_set(X21)) ),
input ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X7,c_insert(X7,X8,X6),X6),
input ).
cnf(c4,plain,
( X92 != X93
| X91 != X94
| X96 != X95
| ~ c_in(X92,X91,X96)
| c_in(X93,X94,X95) ),
eq_axiom ).
cnf(c26,plain,
( X105 != X102
| c_insert(X105,X100,X101) != X103
| X101 != X104
| c_in(X102,X103,X104) ),
inference(resolution,status(thm),[c4,cls_Set_OinsertCI_1]) ).
cnf(c28,plain,
( X109 != X107
| X106 != X108
| c_in(X107,c_insert(X109,X110,X106),X108) ),
inference(resolution,status(thm),[c26,reflexivity]) ).
cnf(c29,plain,
( X114 != X112
| c_in(X112,c_insert(X114,X111,X113),X113) ),
inference(resolution,status(thm),[c28,reflexivity]) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X19,X20,X18),X19,X18)
| c_lessequals(X19,X20,tc_set(X18)) ),
input ).
cnf(cls_conjecture_1,negated_conjecture,
( c_lessequals(X25,X24,tc_set(t_a))
| ~ c_in(X24,v_S,tc_set(t_a))
| ~ c_in(X25,v_S,tc_set(t_a)) ),
input ).
cnf(c8,plain,
c_in(c_Main_OsubsetI__1(v_S,c_insert(X118,c_emptyset,tc_set(t_a)),tc_set(t_a)),v_S,tc_set(t_a)),
inference(resolution,status(thm),[cls_Set_OsubsetI_0,cls_conjecture_0]) ).
cnf(c32,plain,
( c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(X219,c_emptyset,tc_set(t_a)),tc_set(t_a)),X218,tc_set(t_a))
| ~ c_in(X218,v_S,tc_set(t_a)) ),
inference(resolution,status(thm),[c8,cls_conjecture_1]) ).
cnf(c132,plain,
( c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(X1841,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_Main_OsubsetI__1(v_S,X1842,tc_set(t_a)),tc_set(t_a))
| c_lessequals(v_S,X1842,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c32,cls_Set_OsubsetI_0]) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X30,X29,tc_set(X28))
| ~ c_lessequals(X29,X30,tc_set(X28))
| X29 = X30 ),
input ).
cnf(c10,plain,
( c_lessequals(c_Main_OsubsetI__1(v_S,X132,tc_set(t_a)),X131,tc_set(t_a))
| ~ c_in(X131,v_S,tc_set(t_a))
| c_lessequals(v_S,X132,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[cls_conjecture_1,cls_Set_OsubsetI_0]) ).
cnf(c55,plain,
( c_lessequals(c_Main_OsubsetI__1(v_S,X552,tc_set(t_a)),c_Main_OsubsetI__1(v_S,c_insert(X553,c_emptyset,tc_set(t_a)),tc_set(t_a)),tc_set(t_a))
| c_lessequals(v_S,X552,tc_set(tc_set(t_a))) ),
inference(resolution,status(thm),[c10,c8]) ).
cnf(c557,plain,
( c_lessequals(v_S,X11667,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(X11668,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_Main_OsubsetI__1(v_S,X11667,tc_set(t_a)),tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X11667,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_insert(X11668,c_emptyset,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,status(thm),[c55,cls_Set_Osubset__antisym_0]) ).
cnf(c112778,plain,
( c_lessequals(v_S,X11677,tc_set(tc_set(t_a)))
| c_Main_OsubsetI__1(v_S,X11677,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_insert(X11678,c_emptyset,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,status(thm),[c557,c132]) ).
cnf(c112810,plain,
c_Main_OsubsetI__1(v_S,c_insert(X11679,c_emptyset,tc_set(t_a)),tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_insert(X11680,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference(resolution,status(thm),[c112778,cls_conjecture_0]) ).
cnf(c113290,plain,
c_in(c_Main_OsubsetI__1(v_S,c_insert(X12339,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(c_Main_OsubsetI__1(v_S,c_insert(X12340,c_emptyset,tc_set(t_a)),tc_set(t_a)),X12338,X12337),X12337),
inference(resolution,status(thm),[c112810,c29]) ).
cnf(c123079,plain,
c_lessequals(v_S,c_insert(c_Main_OsubsetI__1(v_S,c_insert(X12341,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(resolution,status(thm),[c113290,cls_Set_OsubsetI_1]) ).
cnf(c123080,plain,
$false,
inference(resolution,status(thm),[c123079,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n011.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 : Sun Jul 10 14:07:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 102.38/102.59 # Version: 1.3
% 102.38/102.59 # SZS status Unsatisfiable
% 102.38/102.59 # SZS output start CNFRefutation
% See solution above
% 102.38/102.59
% 102.38/102.59 # Initial clauses : 14
% 102.38/102.59 # Processed clauses : 965
% 102.38/102.59 # Factors computed : 777
% 102.38/102.59 # Resolvents computed: 122386
% 102.38/102.59 # Tautologies deleted: 1
% 102.38/102.59 # Forward subsumed : 1506
% 102.38/102.59 # Backward subsumed : 4
% 102.38/102.59 # -------- CPU Time ---------
% 102.38/102.59 # User time : 101.808 s
% 102.38/102.59 # System time : 0.407 s
% 102.38/102.59 # Total time : 102.215 s
%------------------------------------------------------------------------------