TSTP Solution File: REL049+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : REL049+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 : Mon Jul 18 19:55:39 EDT 2022
% Result : Theorem 19.48s 19.67s
% Output : Refutation 19.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X0,X1,X2] :
( ( join(X0,X1) = X1
& join(X2,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
input ).
fof(c5,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X0,X1) = X1
& join(X2,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
inference(assume_negation,status(cth),[goals]) ).
fof(c6,negated_conjecture,
? [X0,X1,X2] :
( join(X0,X1) = X1
& join(X2,X1) = X1
& join(join(X0,X2),X1) != X1 ),
inference(fof_nnf,status(thm),[c5]) ).
fof(c7,negated_conjecture,
? [X2,X3,X4] :
( join(X2,X3) = X3
& join(X4,X3) = X3
& join(join(X2,X4),X3) != X3 ),
inference(variable_rename,status(thm),[c6]) ).
fof(c8,negated_conjecture,
( join(skolem0001,skolem0002) = skolem0002
& join(skolem0003,skolem0002) = skolem0002
& join(join(skolem0001,skolem0003),skolem0002) != skolem0002 ),
inference(skolemize,status(esa),[c7]) ).
cnf(c11,negated_conjecture,
join(join(skolem0001,skolem0003),skolem0002) != skolem0002,
inference(split_conjunct,status(thm),[c8]) ).
cnf(symmetry,axiom,
( X32 != X31
| X31 = X32 ),
eq_axiom ).
cnf(transitivity,axiom,
( X38 != X37
| X37 != X36
| X38 = X36 ),
eq_axiom ).
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
input ).
fof(c36,axiom,
! [X28,X29] : join(X28,X29) = join(X29,X28),
inference(variable_rename,status(thm),[maddux1_join_commutativity]) ).
cnf(c37,axiom,
join(X51,X52) = join(X52,X51),
inference(split_conjunct,status(thm),[c36]) ).
cnf(c66,plain,
( X182 != join(X181,X180)
| X182 = join(X180,X181) ),
inference(resolution,status(thm),[c37,transitivity]) ).
cnf(c9,negated_conjecture,
join(skolem0001,skolem0002) = skolem0002,
inference(split_conjunct,status(thm),[c8]) ).
cnf(c54,plain,
( X162 != join(skolem0001,skolem0002)
| X162 = skolem0002 ),
inference(resolution,status(thm),[c9,transitivity]) ).
cnf(c551,plain,
join(skolem0002,skolem0001) = skolem0002,
inference(resolution,status(thm),[c54,c37]) ).
cnf(c595,plain,
( X318 != join(skolem0002,skolem0001)
| X318 = skolem0002 ),
inference(resolution,status(thm),[c551,transitivity]) ).
cnf(c10,negated_conjecture,
join(skolem0003,skolem0002) = skolem0002,
inference(split_conjunct,status(thm),[c8]) ).
cnf(reflexivity,axiom,
X30 = X30,
eq_axiom ).
cnf(c0,plain,
( X46 != X47
| X48 != X45
| join(X46,X48) = join(X47,X45) ),
eq_axiom ).
cnf(c51,plain,
( X158 != X159
| join(X158,X157) = join(X159,X157) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(c523,plain,
join(join(skolem0003,skolem0002),X1202) = join(skolem0002,X1202),
inference(resolution,status(thm),[c51,c10]) ).
cnf(c39325,plain,
join(join(skolem0003,skolem0002),skolem0001) = skolem0002,
inference(resolution,status(thm),[c523,c595]) ).
cnf(c39635,plain,
skolem0002 = join(join(skolem0003,skolem0002),skolem0001),
inference(resolution,status(thm),[c39325,symmetry]) ).
cnf(c39846,plain,
skolem0002 = join(skolem0001,join(skolem0003,skolem0002)),
inference(resolution,status(thm),[c39635,c66]) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
input ).
fof(c34,axiom,
! [X25,X26,X27] : join(X25,join(X26,X27)) = join(join(X25,X26),X27),
inference(variable_rename,status(thm),[maddux2_join_associativity]) ).
cnf(c35,axiom,
join(X138,join(X136,X137)) = join(join(X138,X136),X137),
inference(split_conjunct,status(thm),[c34]) ).
cnf(c407,plain,
( X1467 != join(X1465,join(X1466,X1464))
| X1467 = join(join(X1465,X1466),X1464) ),
inference(resolution,status(thm),[c35,transitivity]) ).
cnf(c64467,plain,
skolem0002 = join(join(skolem0001,skolem0003),skolem0002),
inference(resolution,status(thm),[c407,c39846]) ).
cnf(c65331,plain,
join(join(skolem0001,skolem0003),skolem0002) = skolem0002,
inference(resolution,status(thm),[c64467,symmetry]) ).
cnf(c66366,plain,
$false,
inference(resolution,status(thm),[c65331,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL049+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.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 : Fri Jul 8 15:52:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 19.48/19.67 # Version: 1.3
% 19.48/19.67 # SZS status Theorem
% 19.48/19.67 # SZS output start CNFRefutation
% See solution above
% 19.48/19.67
% 19.48/19.67 # Initial clauses : 24
% 19.48/19.67 # Processed clauses : 661
% 19.48/19.67 # Factors computed : 0
% 19.48/19.67 # Resolvents computed: 66532
% 19.48/19.67 # Tautologies deleted: 1
% 19.48/19.67 # Forward subsumed : 640
% 19.48/19.67 # Backward subsumed : 0
% 19.48/19.67 # -------- CPU Time ---------
% 19.48/19.67 # User time : 19.189 s
% 19.48/19.67 # System time : 0.130 s
% 19.48/19.67 # Total time : 19.319 s
%------------------------------------------------------------------------------