TSTP Solution File: SYN083+1 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 17:47:20 EDT 2024
% Result : Theorem 0.21s 0.59s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 11 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 14 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel61,conjecture,
! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel61) ).
fof(c1,negated_conjecture,
~ ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
inference(assume_negation,[status(cth)],[pel61]) ).
fof(c2,negated_conjecture,
? [X,Y,Z,W] : f(X,f(Y,f(Z,W))) != f(f(f(X,Y),Z),W),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
? [X2,X3,X4,X5] : f(X2,f(X3,f(X4,X5))) != f(f(f(X2,X3),X4),X5),
inference(variable_rename,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
f(skolem0001,f(skolem0002,f(skolem0003,skolem0004))) != f(f(f(skolem0001,skolem0002),skolem0003),skolem0004),
inference(skolemize,[status(esa)],[c3]) ).
cnf(c5,negated_conjecture,
f(skolem0001,f(skolem0002,f(skolem0003,skolem0004))) != f(f(f(skolem0001,skolem0002),skolem0003),skolem0004),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(p61_1,axiom,
! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p61_1) ).
fof(c6,plain,
! [X6,X7,X8] : f(X6,f(X7,X8)) = f(f(X6,X7),X8),
inference(variable_rename,[status(thm)],[p61_1]) ).
cnf(c7,plain,
f(X31,f(X33,X32)) = f(f(X31,X33),X32),
inference(split_conjunct,[status(thm)],[c6]) ).
cnf(transitivity,axiom,
( X15 != X13
| X13 != X14
| X15 = X14 ),
theory(equality) ).
cnf(c19,plain,
( X41 != f(X40,f(X43,X42))
| X41 = f(f(X40,X43),X42) ),
inference(resolution,[status(thm)],[c7,transitivity]) ).
cnf(c25,plain,
f(X73,f(X76,f(X74,X75))) = f(f(f(X73,X76),X74),X75),
inference(resolution,[status(thm)],[c19,c7]) ).
cnf(c56,plain,
$false,
inference(resolution,[status(thm)],[c25,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 20:37:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.59 % Version: 1.5
% 0.21/0.59 % SZS status Theorem
% 0.21/0.59 % SZS output start CNFRefutation
% See solution above
% 0.21/0.59
% 0.21/0.59 % Initial clauses : 6
% 0.21/0.59 % Processed clauses : 15
% 0.21/0.59 % Factors computed : 2
% 0.21/0.59 % Resolvents computed: 49
% 0.21/0.59 % Tautologies deleted: 2
% 0.21/0.59 % Forward subsumed : 8
% 0.21/0.59 % Backward subsumed : 0
% 0.21/0.59 % -------- CPU Time ---------
% 0.21/0.59 % User time : 0.205 s
% 0.21/0.59 % System time : 0.017 s
% 0.21/0.59 % Total time : 0.222 s
%------------------------------------------------------------------------------