TSTP Solution File: SYN347+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 11:27:24 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_3,conjecture,
! [Z1,Z2] :
? [X1,X2] :
! [Y] :
( ( ( big_f(X1,Y)
<=> big_f(X2,Y) )
<=> big_f(Z1,Z2) )
| ( big_f(Z1,Y)
<=> big_f(Z2,Y) ) ),
input ).
fof(c0,negated_conjecture,
~ ! [Z1,Z2] :
? [X1,X2] :
! [Y] :
( ( ( big_f(X1,Y)
<=> big_f(X2,Y) )
<=> big_f(Z1,Z2) )
| ( big_f(Z1,Y)
<=> big_f(Z2,Y) ) ),
inference(assume_negation,status(cth),[church_46_17_3]) ).
fof(c1,negated_conjecture,
? [Z1,Z2] :
! [X1,X2] :
? [Y] :
( ( ( ( ~ big_f(X1,Y)
| ~ big_f(X2,Y) )
& ( big_f(X1,Y)
| big_f(X2,Y) ) )
| ~ big_f(Z1,Z2) )
& ( ( ( ~ big_f(X1,Y)
| big_f(X2,Y) )
& ( ~ big_f(X2,Y)
| big_f(X1,Y) ) )
| big_f(Z1,Z2) )
& ( ~ big_f(Z1,Y)
| ~ big_f(Z2,Y) )
& ( big_f(Z1,Y)
| big_f(Z2,Y) ) ),
inference(fof_nnf,status(thm),[c0]) ).
fof(c2,negated_conjecture,
? [X2,X3] :
! [X4,X5] :
? [X6] :
( ( ( ( ~ big_f(X4,X6)
| ~ big_f(X5,X6) )
& ( big_f(X4,X6)
| big_f(X5,X6) ) )
| ~ big_f(X2,X3) )
& ( ( ( ~ big_f(X4,X6)
| big_f(X5,X6) )
& ( ~ big_f(X5,X6)
| big_f(X4,X6) ) )
| big_f(X2,X3) )
& ( ~ big_f(X2,X6)
| ~ big_f(X3,X6) )
& ( big_f(X2,X6)
| big_f(X3,X6) ) ),
inference(variable_rename,status(thm),[c1]) ).
fof(c3,negated_conjecture,
! [X4,X5] :
( ( ( ( ~ big_f(X4,skolem0003(X4,X5))
| ~ big_f(X5,skolem0003(X4,X5)) )
& ( big_f(X4,skolem0003(X4,X5))
| big_f(X5,skolem0003(X4,X5)) ) )
| ~ big_f(skolem0001,skolem0002) )
& ( ( ( ~ big_f(X4,skolem0003(X4,X5))
| big_f(X5,skolem0003(X4,X5)) )
& ( ~ big_f(X5,skolem0003(X4,X5))
| big_f(X4,skolem0003(X4,X5)) ) )
| big_f(skolem0001,skolem0002) )
& ( ~ big_f(skolem0001,skolem0003(X4,X5))
| ~ big_f(skolem0002,skolem0003(X4,X5)) )
& ( big_f(skolem0001,skolem0003(X4,X5))
| big_f(skolem0002,skolem0003(X4,X5)) ) ),
inference(skolemize,status(esa),[c2]) ).
fof(c4,negated_conjecture,
! [X4,X5] :
( ( ~ big_f(X4,skolem0003(X4,X5))
| ~ big_f(X5,skolem0003(X4,X5))
| ~ big_f(skolem0001,skolem0002) )
& ( big_f(X4,skolem0003(X4,X5))
| big_f(X5,skolem0003(X4,X5))
| ~ big_f(skolem0001,skolem0002) )
& ( ~ big_f(X4,skolem0003(X4,X5))
| big_f(X5,skolem0003(X4,X5))
| big_f(skolem0001,skolem0002) )
& ( ~ big_f(X5,skolem0003(X4,X5))
| big_f(X4,skolem0003(X4,X5))
| big_f(skolem0001,skolem0002) )
& ( ~ big_f(skolem0001,skolem0003(X4,X5))
| ~ big_f(skolem0002,skolem0003(X4,X5)) )
& ( big_f(skolem0001,skolem0003(X4,X5))
| big_f(skolem0002,skolem0003(X4,X5)) ) ),
inference(distribute,status(thm),[c3]) ).
cnf(c9,negated_conjecture,
( ~ big_f(skolem0001,skolem0003(X7,X8))
| ~ big_f(skolem0002,skolem0003(X7,X8)) ),
inference(split_conjunct,status(thm),[c4]) ).
cnf(c10,negated_conjecture,
( big_f(skolem0001,skolem0003(X9,X10))
| big_f(skolem0002,skolem0003(X9,X10)) ),
inference(split_conjunct,status(thm),[c4]) ).
cnf(c5,negated_conjecture,
( ~ big_f(X13,skolem0003(X13,X14))
| ~ big_f(X14,skolem0003(X13,X14))
| ~ big_f(skolem0001,skolem0002) ),
inference(split_conjunct,status(thm),[c4]) ).
cnf(c12,plain,
( ~ big_f(X21,skolem0003(X21,skolem0001))
| ~ big_f(skolem0001,skolem0002)
| big_f(skolem0002,skolem0003(X21,skolem0001)) ),
inference(resolution,status(thm),[c5,c10]) ).
cnf(c18,plain,
( ~ big_f(skolem0001,skolem0002)
| big_f(skolem0002,skolem0003(skolem0001,skolem0001)) ),
inference(resolution,status(thm),[c12,c10]) ).
cnf(c8,negated_conjecture,
( ~ big_f(X20,skolem0003(X19,X20))
| big_f(X19,skolem0003(X19,X20))
| big_f(skolem0001,skolem0002) ),
inference(split_conjunct,status(thm),[c4]) ).
cnf(c7,negated_conjecture,
( ~ big_f(X17,skolem0003(X17,X18))
| big_f(X18,skolem0003(X17,X18))
| big_f(skolem0001,skolem0002) ),
inference(split_conjunct,status(thm),[c4]) ).
cnf(c14,plain,
( big_f(X23,skolem0003(skolem0001,X23))
| big_f(skolem0001,skolem0002)
| big_f(skolem0002,skolem0003(skolem0001,X23)) ),
inference(resolution,status(thm),[c7,c10]) ).
cnf(c22,plain,
( big_f(skolem0002,skolem0003(skolem0001,skolem0002))
| big_f(skolem0001,skolem0002) ),
inference(factor,status(thm),[c14]) ).
cnf(c34,plain,
( big_f(skolem0001,skolem0002)
| big_f(skolem0001,skolem0003(skolem0001,skolem0002)) ),
inference(resolution,status(thm),[c22,c8]) ).
cnf(c36,plain,
( big_f(skolem0001,skolem0002)
| ~ big_f(skolem0001,skolem0003(skolem0001,skolem0002)) ),
inference(resolution,status(thm),[c22,c9]) ).
cnf(c46,plain,
big_f(skolem0001,skolem0002),
inference(resolution,status(thm),[c36,c34]) ).
cnf(c47,plain,
big_f(skolem0002,skolem0003(skolem0001,skolem0001)),
inference(resolution,status(thm),[c46,c18]) ).
cnf(c50,plain,
~ big_f(skolem0001,skolem0003(skolem0001,skolem0001)),
inference(resolution,status(thm),[c47,c9]) ).
cnf(c6,negated_conjecture,
( big_f(X15,skolem0003(X15,X16))
| big_f(X16,skolem0003(X15,X16))
| ~ big_f(skolem0001,skolem0002) ),
inference(split_conjunct,status(thm),[c4]) ).
cnf(c49,plain,
( big_f(X25,skolem0003(X25,X26))
| big_f(X26,skolem0003(X25,X26)) ),
inference(resolution,status(thm),[c46,c6]) ).
cnf(c52,plain,
big_f(X27,skolem0003(X27,X27)),
inference(factor,status(thm),[c49]) ).
cnf(c66,plain,
$false,
inference(resolution,status(thm),[c52,c50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n012.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 20:49:57 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.54 # Version: 1.3
% 0.20/0.54 # SZS status Theorem
% 0.20/0.54 # SZS output start CNFRefutation
% See solution above
% 0.20/0.54
% 0.20/0.54 # Initial clauses : 6
% 0.20/0.54 # Processed clauses : 20
% 0.20/0.54 # Factors computed : 2
% 0.20/0.54 # Resolvents computed: 55
% 0.20/0.54 # Tautologies deleted: 1
% 0.20/0.54 # Forward subsumed : 3
% 0.20/0.54 # Backward subsumed : 9
% 0.20/0.54 # -------- CPU Time ---------
% 0.20/0.54 # User time : 0.182 s
% 0.20/0.54 # System time : 0.013 s
% 0.20/0.54 # Total time : 0.195 s
%------------------------------------------------------------------------------