%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SET055+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:35:30 AM UTC 2026
% Result : Theorem 0.11s 0.60s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 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 : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn 2 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,conjecture,
! [X] : X = X,
file('theBenchmark.p',reflexivity) ).
fof(reflexivity_neg,negated_conjecture,
~ ! [X] : X = X,
inference(assume_negation,[status(cth)],[reflexivity]) ).
fof(nnf_42,plain,
? [X] : X != X,
inference(fof_nnf,[status(thm)],[reflexivity_neg]) ).
fof(sk_reflexivity_neg,plain,
sK0 != sK0,
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X,sK0)],[nnf_42]) ).
cnf(c_64,negated_conjecture,
sK0 != sK0,
inference(split_conjunct,[status(thm)],[sk_reflexivity_neg]) ).
cnf(c_65,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET055+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.57 % Computer : n017.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Sat Sep 26 06:55:34 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.58 % Process 86565 was started by sandbox on n017,
% 0.11/0.58 % Sat Sep 26 06:55:34 2026
% 0.11/0.58 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.59
% 0.11/0.59 % From the command line: assign(max_seconds, 300).
% 0.11/0.60
% 0.11/0.60 % SZS status Theorem for theBenchmark
% 0.11/0.60
% 0.11/0.60 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.11/0.60 % Length of proof is 3.
% 0.11/0.60 % Level of proof is 2.
% 0.11/0.60 % Maximum clause weight is 0.000.
% 0.11/0.60 % Given clauses 0.
% 0.11/0.60
% 0.11/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------