TSTP Solution File: SYN328+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 11:27:09 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_3,conjecture,
? [X] :
! [Y,Z] :
( ( ( big_f(Y)
=> big_g(Y) )
<=> big_f(X) )
=> ( ( ( big_f(Y)
=> big_h(Y) )
<=> big_g(X) )
=> ( ( ( ( big_f(Y)
=> big_g(Y) )
=> big_h(Y) )
<=> big_h(X) )
=> ( big_f(Z)
& big_g(Z)
& big_h(Z) ) ) ) ),
input ).
fof(c0,negated_conjecture,
~ ? [X] :
! [Y,Z] :
( ( ( big_f(Y)
=> big_g(Y) )
<=> big_f(X) )
=> ( ( ( big_f(Y)
=> big_h(Y) )
<=> big_g(X) )
=> ( ( ( ( big_f(Y)
=> big_g(Y) )
=> big_h(Y) )
<=> big_h(X) )
=> ( big_f(Z)
& big_g(Z)
& big_h(Z) ) ) ) ),
inference(assume_negation,status(cth),[church_46_12_3]) ).
fof(c1,negated_conjecture,
! [X] :
? [Y,Z] :
( ( ( big_f(Y)
& ~ big_g(Y) )
| big_f(X) )
& ( ~ big_f(X)
| ~ big_f(Y)
| big_g(Y) )
& ( ( big_f(Y)
& ~ big_h(Y) )
| big_g(X) )
& ( ~ big_g(X)
| ~ big_f(Y)
| big_h(Y) )
& ( ( ( ~ big_f(Y)
| big_g(Y) )
& ~ big_h(Y) )
| big_h(X) )
& ( ~ big_h(X)
| ( big_f(Y)
& ~ big_g(Y) )
| big_h(Y) )
& ( ~ big_f(Z)
| ~ big_g(Z)
| ~ big_h(Z) ) ),
inference(fof_nnf,status(thm),[c0]) ).
fof(c2,negated_conjecture,
! [X] :
? [Y] :
( ( ( big_f(Y)
& ~ big_g(Y) )
| big_f(X) )
& ( ~ big_f(X)
| ~ big_f(Y)
| big_g(Y) )
& ( ( big_f(Y)
& ~ big_h(Y) )
| big_g(X) )
& ( ~ big_g(X)
| ~ big_f(Y)
| big_h(Y) )
& ( ( ( ~ big_f(Y)
| big_g(Y) )
& ~ big_h(Y) )
| big_h(X) )
& ( ~ big_h(X)
| ( big_f(Y)
& ~ big_g(Y) )
| big_h(Y) )
& ( ? [Z] : ~ big_f(Z)
| ? [Z] : ~ big_g(Z)
| ? [Z] : ~ big_h(Z) ) ),
inference(shift_quantors,status(thm),[c1]) ).
fof(c3,negated_conjecture,
! [X2] :
? [X3] :
( ( ( big_f(X3)
& ~ big_g(X3) )
| big_f(X2) )
& ( ~ big_f(X2)
| ~ big_f(X3)
| big_g(X3) )
& ( ( big_f(X3)
& ~ big_h(X3) )
| big_g(X2) )
& ( ~ big_g(X2)
| ~ big_f(X3)
| big_h(X3) )
& ( ( ( ~ big_f(X3)
| big_g(X3) )
& ~ big_h(X3) )
| big_h(X2) )
& ( ~ big_h(X2)
| ( big_f(X3)
& ~ big_g(X3) )
| big_h(X3) )
& ( ? [X4] : ~ big_f(X4)
| ? [X5] : ~ big_g(X5)
| ? [X6] : ~ big_h(X6) ) ),
inference(variable_rename,status(thm),[c2]) ).
fof(c4,negated_conjecture,
! [X2] :
( ( ( big_f(skolem0001(X2))
& ~ big_g(skolem0001(X2)) )
| big_f(X2) )
& ( ~ big_f(X2)
| ~ big_f(skolem0001(X2))
| big_g(skolem0001(X2)) )
& ( ( big_f(skolem0001(X2))
& ~ big_h(skolem0001(X2)) )
| big_g(X2) )
& ( ~ big_g(X2)
| ~ big_f(skolem0001(X2))
| big_h(skolem0001(X2)) )
& ( ( ( ~ big_f(skolem0001(X2))
| big_g(skolem0001(X2)) )
& ~ big_h(skolem0001(X2)) )
| big_h(X2) )
& ( ~ big_h(X2)
| ( big_f(skolem0001(X2))
& ~ big_g(skolem0001(X2)) )
| big_h(skolem0001(X2)) )
& ( ~ big_f(skolem0002(X2))
| ~ big_g(skolem0003(X2))
| ~ big_h(skolem0004(X2)) ) ),
inference(skolemize,status(esa),[c3]) ).
fof(c5,negated_conjecture,
! [X2] :
( ( big_f(skolem0001(X2))
| big_f(X2) )
& ( ~ big_g(skolem0001(X2))
| big_f(X2) )
& ( ~ big_f(X2)
| ~ big_f(skolem0001(X2))
| big_g(skolem0001(X2)) )
& ( big_f(skolem0001(X2))
| big_g(X2) )
& ( ~ big_h(skolem0001(X2))
| big_g(X2) )
& ( ~ big_g(X2)
| ~ big_f(skolem0001(X2))
| big_h(skolem0001(X2)) )
& ( ~ big_f(skolem0001(X2))
| big_g(skolem0001(X2))
| big_h(X2) )
& ( ~ big_h(skolem0001(X2))
| big_h(X2) )
& ( ~ big_h(X2)
| big_f(skolem0001(X2))
| big_h(skolem0001(X2)) )
& ( ~ big_h(X2)
| ~ big_g(skolem0001(X2))
| big_h(skolem0001(X2)) )
& ( ~ big_f(skolem0002(X2))
| ~ big_g(skolem0003(X2))
| ~ big_h(skolem0004(X2)) ) ),
inference(distribute,status(thm),[c4]) ).
cnf(c7,negated_conjecture,
( ~ big_g(skolem0001(X8))
| big_f(X8) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c10,negated_conjecture,
( ~ big_h(skolem0001(X10))
| big_g(X10) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c13,negated_conjecture,
( ~ big_h(skolem0001(X11))
| big_h(X11) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c11,negated_conjecture,
( ~ big_g(X16)
| ~ big_f(skolem0001(X16))
| big_h(skolem0001(X16)) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c6,negated_conjecture,
( big_f(skolem0001(X7))
| big_f(X7) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c12,negated_conjecture,
( ~ big_f(skolem0001(X18))
| big_g(skolem0001(X18))
| big_h(X18) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c37,plain,
( big_g(skolem0001(X22))
| big_h(X22)
| big_f(X22) ),
inference(resolution,status(thm),[c12,c6]) ).
cnf(c53,plain,
( big_h(X23)
| big_f(X23) ),
inference(resolution,status(thm),[c37,c7]) ).
cnf(c64,plain,
( big_h(skolem0001(X27))
| ~ big_g(X27) ),
inference(resolution,status(thm),[c53,c11]) ).
cnf(c62,plain,
( big_f(skolem0001(X26))
| big_h(X26) ),
inference(resolution,status(thm),[c53,c13]) ).
cnf(c70,plain,
( big_h(X28)
| big_g(skolem0001(X28)) ),
inference(resolution,status(thm),[c62,c12]) ).
cnf(c78,plain,
( big_h(X39)
| big_h(skolem0001(skolem0001(X39))) ),
inference(resolution,status(thm),[c70,c64]) ).
cnf(c111,plain,
( big_h(X41)
| big_h(skolem0001(X41)) ),
inference(resolution,status(thm),[c78,c13]) ).
cnf(c116,plain,
big_h(X43),
inference(resolution,status(thm),[c111,c13]) ).
cnf(c118,plain,
big_g(X44),
inference(resolution,status(thm),[c116,c10]) ).
cnf(c119,plain,
big_f(X45),
inference(resolution,status(thm),[c118,c7]) ).
cnf(c16,negated_conjecture,
( ~ big_f(skolem0002(X36))
| ~ big_g(skolem0003(X36))
| ~ big_h(skolem0004(X36)) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c117,plain,
( ~ big_f(skolem0002(X50))
| ~ big_g(skolem0003(X50)) ),
inference(resolution,status(thm),[c116,c16]) ).
cnf(c120,plain,
~ big_f(skolem0002(X51)),
inference(resolution,status(thm),[c117,c118]) ).
cnf(c121,plain,
$false,
inference(resolution,status(thm),[c120,c119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Tue Jul 12 06:21:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.59 # Version: 1.3
% 0.20/0.59 # SZS status Theorem
% 0.20/0.59 # SZS output start CNFRefutation
% See solution above
% 0.20/0.59
% 0.20/0.59 # Initial clauses : 11
% 0.20/0.59 # Processed clauses : 31
% 0.20/0.59 # Factors computed : 0
% 0.20/0.59 # Resolvents computed: 105
% 0.20/0.59 # Tautologies deleted: 2
% 0.20/0.59 # Forward subsumed : 12
% 0.20/0.59 # Backward subsumed : 27
% 0.20/0.59 # -------- CPU Time ---------
% 0.20/0.59 # User time : 0.224 s
% 0.20/0.59 # System time : 0.017 s
% 0.20/0.59 # Total time : 0.241 s
%------------------------------------------------------------------------------