%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 : 300s
% DateTime : Thu May 9 17:38:08 EDT 2024
% Result : Theorem 22.04s 22.21s
% Output : Refutation 22.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 18 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 10 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 16 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X0,X1,X2] :
( ( join(X0,X1) = X1
& join(X2,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
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,
( X31 != X32
| X32 = X31 ),
theory(equality) ).
cnf(transitivity,axiom,
( X36 != X38
| X38 != X37
| X36 = X37 ),
theory(equality) ).
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(c36,plain,
! [X28,X29] : join(X28,X29) = join(X29,X28),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c37,plain,
join(X55,X56) = join(X56,X55),
inference(split_conjunct,[status(thm)],[c36]) ).
cnf(c76,plain,
( X186 != join(X184,X185)
| X186 = join(X185,X184) ),
inference(resolution,[status(thm)],[c37,transitivity]) ).
cnf(c9,negated_conjecture,
join(skolem0001,skolem0002) = skolem0002,
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(c55,plain,
( X163 != join(skolem0001,skolem0002)
| X163 = skolem0002 ),
inference(resolution,[status(thm)],[c9,transitivity]) ).
cnf(c555,plain,
join(skolem0002,skolem0001) = skolem0002,
inference(resolution,[status(thm)],[c55,c37]) ).
cnf(c567,plain,
( X321 != join(skolem0002,skolem0001)
| X321 = skolem0002 ),
inference(resolution,[status(thm)],[c555,transitivity]) ).
cnf(c10,negated_conjecture,
join(skolem0003,skolem0002) = skolem0002,
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(reflexivity,axiom,
X30 = X30,
theory(equality) ).
cnf(c0,axiom,
( X47 != X46
| X45 != X48
| join(X47,X45) = join(X46,X48) ),
theory(equality) ).
cnf(c50,plain,
( X151 != X152
| join(X151,X153) = join(X152,X153) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c463,plain,
join(join(skolem0003,skolem0002),X1201) = join(skolem0002,X1201),
inference(resolution,[status(thm)],[c50,c10]) ).
cnf(c39732,plain,
join(join(skolem0003,skolem0002),skolem0001) = skolem0002,
inference(resolution,[status(thm)],[c463,c567]) ).
cnf(c39929,plain,
skolem0002 = join(join(skolem0003,skolem0002),skolem0001),
inference(resolution,[status(thm)],[c39732,symmetry]) ).
cnf(c40542,plain,
skolem0002 = join(skolem0001,join(skolem0003,skolem0002)),
inference(resolution,[status(thm)],[c39929,c76]) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(c34,plain,
! [X25,X26,X27] : join(X25,join(X26,X27)) = join(join(X25,X26),X27),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c35,plain,
join(X137,join(X136,X138)) = join(join(X137,X136),X138),
inference(split_conjunct,[status(thm)],[c34]) ).
cnf(c405,plain,
( X1475 != join(X1473,join(X1476,X1474))
| X1475 = join(join(X1473,X1476),X1474) ),
inference(resolution,[status(thm)],[c35,transitivity]) ).
cnf(c64988,plain,
skolem0002 = join(join(skolem0001,skolem0003),skolem0002),
inference(resolution,[status(thm)],[c405,c40542]) ).
cnf(c65227,plain,
join(join(skolem0001,skolem0003),skolem0002) = skolem0002,
inference(resolution,[status(thm)],[c64988,symmetry]) ).
cnf(c66603,plain,
$false,
inference(resolution,[status(thm)],[c65227,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed May 8 17:41:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 22.04/22.21 % Version: 1.5
% 22.04/22.21 % SZS status Theorem
% 22.04/22.21 % SZS output start CNFRefutation
% See solution above
% 22.04/22.21
% 22.04/22.21 % Initial clauses : 24
% 22.04/22.21 % Processed clauses : 656
% 22.04/22.21 % Factors computed : 4
% 22.04/22.21 % Resolvents computed: 66562
% 22.04/22.21 % Tautologies deleted: 2
% 22.04/22.21 % Forward subsumed : 639
% 22.04/22.21 % Backward subsumed : 0
% 22.04/22.21 % -------- CPU Time ---------
% 22.04/22.21 % User time : 21.736 s
% 22.04/22.21 % System time : 0.134 s
% 22.04/22.21 % Total time : 21.870 s
%------------------------------------------------------------------------------