%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 07:05:53 PM UTC 2026
% Result : Theorem 1.22s 1.41s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 7 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 6 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_003,axiom,
! [X,X2] : nil != cons(X,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(c20,plain,
! [X12,X13] : nil != cons(X12,X13),
inference(variable_rename,[status(thm)],[axiom_003]) ).
cnf(c21,plain,
nil != cons(X29,X28),
inference(split_conjunct,[status(thm)],[c20]) ).
cnf(symmetry,axiom,
( X20 != X21
| X21 = X20 ),
theory(equality) ).
fof(goal_009,conjecture,
? [N,Xs,Ys] :
~ ( drop(N,Xs) = drop(N,Ys)
=> Xs = Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_009) ).
fof(c6,negated_conjecture,
~ ? [N,Xs,Ys] :
~ ( drop(N,Xs) = drop(N,Ys)
=> Xs = Ys ),
inference(assume_negation,[status(cth)],[goal_009]) ).
fof(c7,negated_conjecture,
! [N,Xs,Ys] :
( drop(N,Xs) != drop(N,Ys)
| Xs = Ys ),
inference(fof_nnf,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
! [X2,X3,X4] :
( drop(X2,X3) != drop(X2,X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[c7]) ).
cnf(c9,negated_conjecture,
( drop(X83,X85) != drop(X83,X84)
| X85 = X84 ),
inference(split_conjunct,[status(thm)],[c8]) ).
fof(axiom_008,axiom,
! [Y] : drop(z,Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
fof(c10,plain,
! [X5] : drop(z,X5) = X5,
inference(variable_rename,[status(thm)],[axiom_008]) ).
cnf(c11,plain,
drop(z,X23) = X23,
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(transitivity,axiom,
( X25 != X26
| X26 != X24
| X25 = X24 ),
theory(equality) ).
cnf(c29,plain,
( X68 != drop(z,X69)
| X68 = X69 ),
inference(resolution,[status(thm)],[transitivity,c11]) ).
fof(axiom_007,axiom,
! [Z,X2,X3] : drop(s(Z),cons(X2,X3)) = drop(Z,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(c12,plain,
! [X6,X7,X8] : drop(s(X6),cons(X7,X8)) = drop(X6,X8),
inference(variable_rename,[status(thm)],[axiom_007]) ).
cnf(c13,plain,
drop(s(X92),cons(X91,X93)) = drop(X92,X93),
inference(split_conjunct,[status(thm)],[c12]) ).
cnf(c165,plain,
drop(s(z),cons(X288,X289)) = X289,
inference(resolution,[status(thm)],[c13,c29]) ).
cnf(c1732,plain,
cons(X434,drop(s(z),X435)) = X435,
inference(resolution,[status(thm)],[c165,c9]) ).
cnf(c3161,plain,
X503 = cons(X504,drop(s(z),X503)),
inference(resolution,[status(thm)],[c1732,symmetry]) ).
cnf(c3953,plain,
$false,
inference(resolution,[status(thm)],[c3161,c21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.19/0.36 % Computer : n020.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Tue May 5 09:37:04 EDT 2026
% 0.19/0.36 % CPUTime :
% 1.22/1.41 % Version: 1.5
% 1.22/1.41 % SZS status Theorem
% 1.22/1.41 % SZS output start CNFRefutation
% See solution above
% 1.22/1.41
% 1.22/1.41 % Initial clauses : 18
% 1.22/1.41 % Processed clauses : 150
% 1.22/1.41 % Factors computed : 3
% 1.22/1.41 % Resolvents computed: 3928
% 1.22/1.41 % Tautologies deleted: 2
% 1.22/1.41 % Forward subsumed : 132
% 1.22/1.41 % Backward subsumed : 0
% 1.22/1.41 % -------- CPU Time ---------
% 1.22/1.41 % User time : 0.997 s
% 1.22/1.41 % System time : 0.017 s
% 1.22/1.41 % Total time : 1.014 s
%------------------------------------------------------------------------------