TSTP Solution File: SET016-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 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 : 600s
% DateTime : Tue Jul 19 04:34:13 EDT 2022
% Result : Unsatisfiable 1.35s 1.54s
% Output : Refutation 1.35s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_first_components_equal,negated_conjecture,
m1 != m2,
input ).
cnf(symmetry,axiom,
( X12 != X11
| X11 = X12 ),
eq_axiom ).
cnf(singleton_2,axiom,
( ~ member(X9,singleton_set(X8))
| X9 = X8 ),
input ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(singleton_1,axiom,
member(X3,singleton_set(X3)),
input ).
cnf(c3,plain,
( X36 != X38
| X37 != X35
| ~ member(X36,X37)
| member(X38,X35) ),
eq_axiom ).
cnf(c23,plain,
( X44 != X43
| singleton_set(X44) != X45
| member(X43,X45) ),
inference(resolution,status(thm),[c3,singleton_1]) ).
cnf(c0,plain,
( X26 != X27
| singleton_set(X26) = singleton_set(X27) ),
eq_axiom ).
cnf(unordered_pair_1,axiom,
member(X5,unordered_pair(X5,X4)),
input ).
cnf(c24,plain,
( X80 != X77
| unordered_pair(X80,X79) != X78
| member(X77,X78) ),
inference(resolution,status(thm),[c3,unordered_pair_1]) ).
cnf(unordered_pair_3,axiom,
( ~ member(X20,unordered_pair(X19,X21))
| X20 = X19
| X20 = X21 ),
input ).
cnf(ordered_pair,axiom,
ordered_pair(X30,X29) = unordered_pair(singleton_set(X30),unordered_pair(X30,X29)),
input ).
cnf(c13,plain,
unordered_pair(singleton_set(X31),unordered_pair(X31,X32)) = ordered_pair(X31,X32),
inference(resolution,status(thm),[ordered_pair,symmetry]) ).
cnf(c71,plain,
( singleton_set(X87) != X88
| member(X88,ordered_pair(X87,X89)) ),
inference(resolution,status(thm),[c24,c13]) ).
cnf(c83,plain,
member(singleton_set(X90),ordered_pair(X90,X91)),
inference(resolution,status(thm),[c71,reflexivity]) ).
cnf(c84,plain,
( singleton_set(X115) != X114
| ordered_pair(X115,X113) != X116
| member(X114,X116) ),
inference(resolution,status(thm),[c83,c3]) ).
cnf(equal_ordered_pairs,plain,
ordered_pair(m1,r1) = ordered_pair(m2,r2),
input ).
cnf(transitivity,axiom,
( X15 != X14
| X14 != X16
| X15 = X16 ),
eq_axiom ).
cnf(c15,plain,
( X99 != ordered_pair(X98,X100)
| X99 = unordered_pair(singleton_set(X98),unordered_pair(X98,X100)) ),
inference(resolution,status(thm),[ordered_pair,transitivity]) ).
cnf(c104,plain,
ordered_pair(m1,r1) = unordered_pair(singleton_set(m2),unordered_pair(m2,r2)),
inference(resolution,status(thm),[c15,equal_ordered_pairs]) ).
cnf(c342,plain,
( singleton_set(m1) != X519
| member(X519,unordered_pair(singleton_set(m2),unordered_pair(m2,r2))) ),
inference(resolution,status(thm),[c104,c84]) ).
cnf(c1300,plain,
member(singleton_set(m1),unordered_pair(singleton_set(m2),unordered_pair(m2,r2))),
inference(resolution,status(thm),[c342,reflexivity]) ).
cnf(c1301,plain,
( singleton_set(m1) = singleton_set(m2)
| singleton_set(m1) = unordered_pair(m2,r2) ),
inference(resolution,status(thm),[c1300,unordered_pair_3]) ).
cnf(c1596,plain,
( singleton_set(m1) = singleton_set(m2)
| unordered_pair(m2,r2) = singleton_set(m1) ),
inference(resolution,status(thm),[c1301,symmetry]) ).
cnf(c1838,plain,
( singleton_set(m1) = singleton_set(m2)
| m2 != X749
| member(X749,singleton_set(m1)) ),
inference(resolution,status(thm),[c1596,c24]) ).
cnf(c2252,plain,
( singleton_set(m1) = singleton_set(m2)
| member(m2,singleton_set(m1)) ),
inference(resolution,status(thm),[c1838,reflexivity]) ).
cnf(c2320,plain,
( singleton_set(m1) = singleton_set(m2)
| m2 = m1 ),
inference(resolution,status(thm),[c2252,singleton_2]) ).
cnf(c2351,plain,
( m2 = m1
| singleton_set(m2) = singleton_set(m1) ),
inference(resolution,status(thm),[c2320,symmetry]) ).
cnf(c2400,plain,
singleton_set(m2) = singleton_set(m1),
inference(resolution,status(thm),[c2351,c0]) ).
cnf(c2451,plain,
( m2 != X756
| member(X756,singleton_set(m1)) ),
inference(resolution,status(thm),[c2400,c23]) ).
cnf(c2565,plain,
member(m2,singleton_set(m1)),
inference(resolution,status(thm),[c2451,reflexivity]) ).
cnf(c2566,plain,
m2 = m1,
inference(resolution,status(thm),[c2565,singleton_2]) ).
cnf(c2594,plain,
m1 = m2,
inference(resolution,status(thm),[c2566,symmetry]) ).
cnf(c2618,plain,
$false,
inference(resolution,status(thm),[c2594,prove_first_components_equal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n012.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 16:43:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.35/1.54 # Version: 1.3
% 1.35/1.54 # SZS status Unsatisfiable
% 1.35/1.54 # SZS output start CNFRefutation
% See solution above
% 1.35/1.54
% 1.35/1.54 # Initial clauses : 15
% 1.35/1.54 # Processed clauses : 225
% 1.35/1.54 # Factors computed : 0
% 1.35/1.54 # Resolvents computed: 2653
% 1.35/1.54 # Tautologies deleted: 1
% 1.35/1.54 # Forward subsumed : 236
% 1.35/1.54 # Backward subsumed : 13
% 1.35/1.54 # -------- CPU Time ---------
% 1.35/1.54 # User time : 1.166 s
% 1.35/1.54 # System time : 0.020 s
% 1.35/1.54 # Total time : 1.186 s
%------------------------------------------------------------------------------