TSTP Solution File: SYN336+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN336+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:47:56 EDT 2024
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 25 ( 5 ~; 0 |; 12 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn 10 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_15_1,conjecture,
! [X] :
? [Y1,Y2] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y1,Z)
=> ( big_f(Y2,Z)
=> ( big_f(Y1,X)
=> big_f(Z,Y2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_15_1) ).
fof(c0,negated_conjecture,
~ ! [X] :
? [Y1,Y2] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y1,Z)
=> ( big_f(Y2,Z)
=> ( big_f(Y1,X)
=> big_f(Z,Y2) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_15_1]) ).
fof(c1,negated_conjecture,
? [X] :
! [Y1,Y2] :
? [Z] :
( big_f(X,Z)
& big_f(Y1,Z)
& big_f(Y2,Z)
& big_f(Y1,X)
& ~ big_f(Z,Y2) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2] :
! [X3,X4] :
? [X5] :
( big_f(X2,X5)
& big_f(X3,X5)
& big_f(X4,X5)
& big_f(X3,X2)
& ~ big_f(X5,X4) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X3,X4] :
( big_f(skolem0001,skolem0002(X3,X4))
& big_f(X3,skolem0002(X3,X4))
& big_f(X4,skolem0002(X3,X4))
& big_f(X3,skolem0001)
& ~ big_f(skolem0002(X3,X4),X4) ),
inference(skolemize,[status(esa)],[c2]) ).
cnf(c7,negated_conjecture,
big_f(X6,skolem0001),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c8,negated_conjecture,
~ big_f(skolem0002(X12,X11),X11),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c9,plain,
$false,
inference(resolution,[status(thm)],[c8,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN336+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 20:13:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % Version: 1.5
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 % SZS output start CNFRefutation
% See solution above
% 0.19/0.51
% 0.19/0.51 % Initial clauses : 5
% 0.19/0.51 % Processed clauses : 4
% 0.19/0.51 % Factors computed : 0
% 0.19/0.51 % Resolvents computed: 1
% 0.19/0.51 % Tautologies deleted: 0
% 0.19/0.51 % Forward subsumed : 0
% 0.19/0.51 % Backward subsumed : 0
% 0.19/0.51 % -------- CPU Time ---------
% 0.19/0.51 % User time : 0.153 s
% 0.19/0.51 % System time : 0.019 s
% 0.19/0.51 % Total time : 0.172 s
%------------------------------------------------------------------------------