TSTP Solution File: SYN332+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 : Thu Jul 21 11:27:13 EDT 2022
% Result : Theorem 0.44s 0.61s
% Output : Refutation 0.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_4,conjecture,
? [X,Y] :
! [Z] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
<~> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
input ).
fof(c0,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
<~> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
inference(assume_negation,status(cth),[church_46_14_4]) ).
fof(c1,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ~ ( ( big_f(X,Y)
& big_f(Y,X) )
<=> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
inference(fof_simplification,status(thm),[c0]) ).
fof(c2,negated_conjecture,
! [X,Y] :
? [Z] :
( ( ~ big_f(X,Y)
| ~ big_f(Y,X)
| ~ big_f(X,Z) )
& ( ( big_f(X,Y)
& big_f(Y,X) )
| big_f(X,Z) )
& ( ~ big_f(X,Z)
| big_f(Z,X) )
& ( ~ big_f(Z,X)
| big_f(X,Z) )
& ( ~ big_f(X,Z)
| big_f(Y,Z) )
& ( ~ big_f(Y,Z)
| big_f(X,Z) )
& ( ( big_f(Y,X)
& ~ big_f(X,Y) )
| big_f(Z,Z) )
& ( ~ big_f(Z,Z)
| ~ big_f(Y,X)
| big_f(X,Y) )
& ( ( ( ~ big_f(X,Y)
| ~ big_f(Y,X) )
& ( big_f(X,Y)
| big_f(Y,X) ) )
| ~ big_f(Z,Y) )
& ( ( ( ~ big_f(X,Y)
| big_f(Y,X) )
& ( ~ big_f(Y,X)
| big_f(X,Y) ) )
| big_f(Z,Y) ) ),
inference(fof_nnf,status(thm),[c1]) ).
fof(c3,negated_conjecture,
! [X2,X3] :
? [X4] :
( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2)
| ~ big_f(X2,X4) )
& ( ( big_f(X2,X3)
& big_f(X3,X2) )
| big_f(X2,X4) )
& ( ~ big_f(X2,X4)
| big_f(X4,X2) )
& ( ~ big_f(X4,X2)
| big_f(X2,X4) )
& ( ~ big_f(X2,X4)
| big_f(X3,X4) )
& ( ~ big_f(X3,X4)
| big_f(X2,X4) )
& ( ( big_f(X3,X2)
& ~ big_f(X2,X3) )
| big_f(X4,X4) )
& ( ~ big_f(X4,X4)
| ~ big_f(X3,X2)
| big_f(X2,X3) )
& ( ( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2) )
& ( big_f(X2,X3)
| big_f(X3,X2) ) )
| ~ big_f(X4,X3) )
& ( ( ( ~ big_f(X2,X3)
| big_f(X3,X2) )
& ( ~ big_f(X3,X2)
| big_f(X2,X3) ) )
| big_f(X4,X3) ) ),
inference(variable_rename,status(thm),[c2]) ).
fof(c4,negated_conjecture,
! [X2,X3] :
( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2)
| ~ big_f(X2,skolem0001(X2,X3)) )
& ( ( big_f(X2,X3)
& big_f(X3,X2) )
| big_f(X2,skolem0001(X2,X3)) )
& ( ~ big_f(X2,skolem0001(X2,X3))
| big_f(skolem0001(X2,X3),X2) )
& ( ~ big_f(skolem0001(X2,X3),X2)
| big_f(X2,skolem0001(X2,X3)) )
& ( ~ big_f(X2,skolem0001(X2,X3))
| big_f(X3,skolem0001(X2,X3)) )
& ( ~ big_f(X3,skolem0001(X2,X3))
| big_f(X2,skolem0001(X2,X3)) )
& ( ( big_f(X3,X2)
& ~ big_f(X2,X3) )
| big_f(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( ~ big_f(skolem0001(X2,X3),skolem0001(X2,X3))
| ~ big_f(X3,X2)
| big_f(X2,X3) )
& ( ( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2) )
& ( big_f(X2,X3)
| big_f(X3,X2) ) )
| ~ big_f(skolem0001(X2,X3),X3) )
& ( ( ( ~ big_f(X2,X3)
| big_f(X3,X2) )
& ( ~ big_f(X3,X2)
| big_f(X2,X3) ) )
| big_f(skolem0001(X2,X3),X3) ) ),
inference(skolemize,status(esa),[c3]) ).
fof(c5,negated_conjecture,
! [X2,X3] :
( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2)
| ~ big_f(X2,skolem0001(X2,X3)) )
& ( big_f(X2,X3)
| big_f(X2,skolem0001(X2,X3)) )
& ( big_f(X3,X2)
| big_f(X2,skolem0001(X2,X3)) )
& ( ~ big_f(X2,skolem0001(X2,X3))
| big_f(skolem0001(X2,X3),X2) )
& ( ~ big_f(skolem0001(X2,X3),X2)
| big_f(X2,skolem0001(X2,X3)) )
& ( ~ big_f(X2,skolem0001(X2,X3))
| big_f(X3,skolem0001(X2,X3)) )
& ( ~ big_f(X3,skolem0001(X2,X3))
| big_f(X2,skolem0001(X2,X3)) )
& ( big_f(X3,X2)
| big_f(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( ~ big_f(X2,X3)
| big_f(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( ~ big_f(skolem0001(X2,X3),skolem0001(X2,X3))
| ~ big_f(X3,X2)
| big_f(X2,X3) )
& ( ~ big_f(X2,X3)
| ~ big_f(X3,X2)
| ~ big_f(skolem0001(X2,X3),X3) )
& ( big_f(X2,X3)
| big_f(X3,X2)
| ~ big_f(skolem0001(X2,X3),X3) )
& ( ~ big_f(X2,X3)
| big_f(X3,X2)
| big_f(skolem0001(X2,X3),X3) )
& ( ~ big_f(X3,X2)
| big_f(X2,X3)
| big_f(skolem0001(X2,X3),X3) ) ),
inference(distribute,status(thm),[c4]) ).
cnf(c15,negated_conjecture,
( ~ big_f(skolem0001(X55,X54),skolem0001(X55,X54))
| ~ big_f(X54,X55)
| big_f(X55,X54) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c7,negated_conjecture,
( big_f(X6,X5)
| big_f(X6,skolem0001(X6,X5)) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c9,negated_conjecture,
( ~ big_f(X10,skolem0001(X10,X9))
| big_f(skolem0001(X10,X9),X10) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c20,plain,
( big_f(skolem0001(X12,X11),X12)
| big_f(X12,X11) ),
inference(resolution,status(thm),[c9,c7]) ).
cnf(c17,negated_conjecture,
( big_f(X60,X59)
| big_f(X59,X60)
| ~ big_f(skolem0001(X60,X59),X59) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c108,plain,
big_f(X61,X61),
inference(resolution,status(thm),[c17,c20]) ).
cnf(c113,plain,
( ~ big_f(X66,X65)
| big_f(X65,X66) ),
inference(resolution,status(thm),[c108,c15]) ).
cnf(c11,negated_conjecture,
( ~ big_f(X28,skolem0001(X28,X27))
| big_f(X27,skolem0001(X28,X27)) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c38,plain,
( big_f(X30,skolem0001(X29,X30))
| big_f(X29,X30) ),
inference(resolution,status(thm),[c11,c7]) ).
cnf(c129,plain,
( big_f(skolem0001(X76,X75),X75)
| big_f(X76,X75) ),
inference(resolution,status(thm),[c113,c38]) ).
cnf(c140,plain,
( big_f(X77,X78)
| big_f(X78,X77) ),
inference(resolution,status(thm),[c129,c17]) ).
cnf(c153,plain,
big_f(X81,X80),
inference(resolution,status(thm),[c140,c113]) ).
cnf(c6,negated_conjecture,
( ~ big_f(X16,X15)
| ~ big_f(X15,X16)
| ~ big_f(X16,skolem0001(X16,X15)) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c160,plain,
( ~ big_f(X87,X86)
| ~ big_f(X86,X87) ),
inference(resolution,status(thm),[c153,c6]) ).
cnf(c162,plain,
~ big_f(X89,X88),
inference(resolution,status(thm),[c160,c153]) ).
cnf(c163,plain,
$false,
inference(resolution,status(thm),[c162,c153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n024.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 : Tue Jul 12 04:28:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.44/0.61 # Version: 1.3
% 0.44/0.61 # SZS status Theorem
% 0.44/0.61 # SZS output start CNFRefutation
% See solution above
% 0.44/0.61
% 0.44/0.61 # Initial clauses : 14
% 0.44/0.61 # Processed clauses : 24
% 0.44/0.61 # Factors computed : 1
% 0.44/0.61 # Resolvents computed: 143
% 0.44/0.61 # Tautologies deleted: 7
% 0.44/0.61 # Forward subsumed : 19
% 0.44/0.61 # Backward subsumed : 22
% 0.44/0.61 # -------- CPU Time ---------
% 0.44/0.61 # User time : 0.253 s
% 0.44/0.61 # System time : 0.020 s
% 0.44/0.61 # Total time : 0.273 s
%------------------------------------------------------------------------------