TSTP Solution File: SET821-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 04:40:24 EDT 2022
% Result : Unsatisfiable 1.65s 1.81s
% Output : Refutation 1.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OComplD__dest_0,axiom,
( ~ c_in(X7,X5,X6)
| ~ c_in(X7,c_uminus(X5,tc_set(X6)),X6) ),
input ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X13,c_insert(X13,X12,X11),X11),
input ).
cnf(cls_Set_OinsertCI_0,axiom,
( ~ c_in(X33,X34,X31)
| c_in(X33,c_insert(X32,X34,X31),X31) ),
input ).
cnf(c14,plain,
c_in(X36,c_insert(X35,c_insert(X36,X38,X37),X37),X37),
inference(resolution,status(thm),[cls_Set_OinsertCI_0,cls_Set_OinsertCI_1]) ).
cnf(cls_Set_OComplI_0,axiom,
( c_in(X19,X17,X18)
| c_in(X19,c_uminus(X17,tc_set(X18)),X18) ),
input ).
cnf(c8,plain,
( c_in(X96,c_uminus(c_uminus(X97,tc_set(X98)),tc_set(X98)),X98)
| ~ c_in(X96,X97,X98) ),
inference(resolution,status(thm),[cls_Set_OComplI_0,cls_Set_OComplD__dest_0]) ).
cnf(c42,plain,
c_in(X237,c_uminus(c_uminus(c_insert(X239,c_insert(X237,X240,X238),X238),tc_set(X238)),tc_set(X238)),X238),
inference(resolution,status(thm),[c8,c14]) ).
cnf(c212,plain,
~ c_in(X241,c_uminus(c_insert(X242,c_insert(X241,X244,X243),X243),tc_set(X243)),X243),
inference(resolution,status(thm),[c42,cls_Set_OComplD__dest_0]) ).
cnf(c44,plain,
c_in(X105,c_uminus(c_uminus(c_insert(X105,X107,X106),tc_set(X106)),tc_set(X106)),X106),
inference(resolution,status(thm),[c8,cls_Set_OinsertCI_1]) ).
cnf(c53,plain,
~ c_in(X108,c_uminus(c_insert(X108,X110,X109),tc_set(X109)),X109),
inference(resolution,status(thm),[c44,cls_Set_OComplD__dest_0]) ).
cnf(clsarity_IntDef__Oint_31,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
input ).
cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_less(X4,X4,X3) ),
input ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(cls_conjecture_1,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
input ).
cnf(c4,plain,
( X102 != X101
| X100 != X104
| X103 != X99
| ~ c_less(X102,X100,X103)
| c_less(X101,X104,X99) ),
eq_axiom ).
cnf(c51,plain,
( v_b != X139
| v_c != X140
| tc_IntDef_Oint != X141
| c_less(X139,X140,X141) ),
inference(resolution,status(thm),[c4,cls_conjecture_1]) ).
cnf(c73,plain,
( v_b != X143
| v_c != X142
| c_less(X143,X142,tc_IntDef_Oint) ),
inference(resolution,status(thm),[c51,reflexivity]) ).
cnf(c74,plain,
( v_b != X150
| c_less(X150,v_c,tc_IntDef_Oint) ),
inference(resolution,status(thm),[c73,reflexivity]) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(v_c,X55,tc_IntDef_Oint)
| ~ c_in(v_b,X55,tc_IntDef_Oint)
| c_in(v_a,X55,tc_IntDef_Oint) ),
input ).
cnf(c22,plain,
( c_in(v_c,c_insert(v_b,X204,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_a,c_insert(v_b,X204,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,status(thm),[cls_conjecture_2,cls_Set_OinsertCI_1]) ).
cnf(symmetry,axiom,
( X8 != X9
| X9 = X8 ),
eq_axiom ).
cnf(cls_Set_OinsertE_0,axiom,
( ~ c_in(X46,c_insert(X45,X44,X47),X47)
| c_in(X46,X44,X47)
| X46 = X45 ),
input ).
cnf(c19,plain,
( c_in(X158,X159,X160)
| X158 = X157
| c_in(X158,c_uminus(c_insert(X157,X159,X160),tc_set(X160)),X160) ),
inference(resolution,status(thm),[cls_Set_OinsertE_0,cls_Set_OComplI_0]) ).
cnf(c95,plain,
( c_in(X279,X277,X280)
| c_in(X279,c_uminus(c_insert(X278,X277,X280),tc_set(X280)),X280)
| X278 = X279 ),
inference(resolution,status(thm),[c19,symmetry]) ).
cnf(c279,plain,
( c_in(X288,X291,X290)
| X289 = X288
| ~ c_in(X288,c_insert(X289,X291,X290),X290) ),
inference(resolution,status(thm),[c95,cls_Set_OComplD__dest_0]) ).
cnf(c307,plain,
( c_in(v_c,X975,tc_IntDef_Oint)
| v_b = v_c
| c_in(v_a,c_insert(v_b,X975,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,status(thm),[c279,c22]) ).
cnf(cls_conjecture_0,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
input ).
cnf(c52,plain,
( v_a != X151
| v_b != X152
| tc_IntDef_Oint != X153
| c_less(X151,X152,X153) ),
inference(resolution,status(thm),[c4,cls_conjecture_0]) ).
cnf(c81,plain,
( v_a != X155
| v_b != X154
| c_less(X155,X154,tc_IntDef_Oint) ),
inference(resolution,status(thm),[c52,reflexivity]) ).
cnf(c82,plain,
( v_a != X156
| c_less(X156,v_b,tc_IntDef_Oint) ),
inference(resolution,status(thm),[c81,reflexivity]) ).
cnf(c99,plain,
( c_in(v_a,X1291,X1293)
| c_in(v_a,c_uminus(c_insert(X1292,X1291,X1293),tc_set(X1293)),X1293)
| c_less(X1292,v_b,tc_IntDef_Oint) ),
inference(resolution,status(thm),[c19,c82]) ).
cnf(c2227,plain,
( c_in(v_a,X1572,X1571)
| c_in(v_a,c_uminus(c_insert(v_b,X1572,X1571),tc_set(X1571)),X1571)
| ~ class_Orderings_Oorder(tc_IntDef_Oint) ),
inference(resolution,status(thm),[c99,cls_Orderings_Oorder__less__irrefl__iff1_0]) ).
cnf(c3221,plain,
( c_in(v_a,X1578,X1579)
| c_in(v_a,c_uminus(c_insert(v_b,X1578,X1579),tc_set(X1579)),X1579) ),
inference(resolution,status(thm),[c2227,clsarity_IntDef__Oint_31]) ).
cnf(c3263,plain,
( c_in(v_a,X1586,X1585)
| ~ c_in(v_a,c_insert(v_b,X1586,X1585),X1585) ),
inference(resolution,status(thm),[c3221,cls_Set_OComplD__dest_0]) ).
cnf(c3302,plain,
( c_in(v_a,X1615,tc_IntDef_Oint)
| c_in(v_c,X1615,tc_IntDef_Oint)
| v_b = v_c ),
inference(resolution,status(thm),[c3263,c307]) ).
cnf(c3626,plain,
( c_in(v_a,X1647,tc_IntDef_Oint)
| c_in(v_c,X1647,tc_IntDef_Oint)
| c_less(v_c,v_c,tc_IntDef_Oint) ),
inference(resolution,status(thm),[c3302,c74]) ).
cnf(c3785,plain,
( c_in(v_a,X1648,tc_IntDef_Oint)
| c_in(v_c,X1648,tc_IntDef_Oint)
| ~ class_Orderings_Oorder(tc_IntDef_Oint) ),
inference(resolution,status(thm),[c3626,cls_Orderings_Oorder__less__irrefl__iff1_0]) ).
cnf(c3789,plain,
( c_in(v_a,X1649,tc_IntDef_Oint)
| c_in(v_c,X1649,tc_IntDef_Oint) ),
inference(resolution,status(thm),[c3785,clsarity_IntDef__Oint_31]) ).
cnf(c3808,plain,
c_in(v_c,c_uminus(c_insert(v_a,X1653,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),
inference(resolution,status(thm),[c3789,c53]) ).
cnf(c3877,plain,
$false,
inference(resolution,status(thm),[c3808,c212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 02:31:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.65/1.81 # Version: 1.3
% 1.65/1.81 # SZS status Unsatisfiable
% 1.65/1.81 # SZS output start CNFRefutation
% See solution above
% 1.65/1.81
% 1.65/1.81 # Initial clauses : 19
% 1.65/1.81 # Processed clauses : 162
% 1.65/1.81 # Factors computed : 1
% 1.65/1.81 # Resolvents computed: 3882
% 1.65/1.81 # Tautologies deleted: 3
% 1.65/1.81 # Forward subsumed : 268
% 1.65/1.81 # Backward subsumed : 27
% 1.65/1.81 # -------- CPU Time ---------
% 1.65/1.81 # User time : 1.450 s
% 1.65/1.81 # System time : 0.020 s
% 1.65/1.81 # Total time : 1.470 s
%------------------------------------------------------------------------------