%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 : Tue May 5 07:05:55 PM UTC 2026
% Result : Theorem 0.30s 0.51s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goal_005,conjecture,
? [X] : x2(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_005) ).
fof(c3,negated_conjecture,
~ ? [X] : x2(X,X) = X,
inference(assume_negation,[status(cth)],[goal_005]) ).
fof(c4,negated_conjecture,
! [X] : x2(X,X) != X,
inference(fof_nnf,[status(thm)],[c3]) ).
fof(c5,negated_conjecture,
! [X2] : x2(X2,X2) != X2,
inference(variable_rename,[status(thm)],[c4]) ).
cnf(c6,negated_conjecture,
x2(X9,X9) != X9,
inference(split_conjunct,[status(thm)],[c5]) ).
fof(axiom_003,axiom,
! [Y] : x2(z,Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(c9,plain,
! [X5] : x2(z,X5) = X5,
inference(variable_rename,[status(thm)],[axiom_003]) ).
cnf(c10,plain,
x2(z,X17) = X17,
inference(split_conjunct,[status(thm)],[c9]) ).
cnf(c18,plain,
$false,
inference(resolution,[status(thm)],[c10,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.33 % Computer : n006.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 11:33:31 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.30/0.51 % Version: 1.5
% 0.30/0.51 % SZS status Theorem
% 0.30/0.51 % SZS output start CNFRefutation
% See solution above
% 0.30/0.51
% 0.30/0.51 % Initial clauses : 11
% 0.30/0.51 % Processed clauses : 6
% 0.30/0.51 % Factors computed : 1
% 0.30/0.51 % Resolvents computed: 5
% 0.30/0.51 % Tautologies deleted: 0
% 0.30/0.51 % Forward subsumed : 1
% 0.30/0.51 % Backward subsumed : 0
% 0.30/0.51 % -------- CPU Time ---------
% 0.30/0.51 % User time : 0.153 s
% 0.30/0.51 % System time : 0.014 s
% 0.30/0.51 % Total time : 0.167 s
%------------------------------------------------------------------------------