%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : RNG101+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:26:38 AM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 33 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 25 ( 4 ~; 1 |; 20 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 0 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1933,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xy
& aElement0(W0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) ) ),
file('theBenchmark.p',m__1933) ).
fof(m__,conjecture,
? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) ),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ ? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_65,negated_conjecture,
( sdtasdt0(xc,A) != xx
| ~ aElement0(A) ),
inference(clausify,[status(thm)],[m___neg]) ).
fof(nnf_35,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xy
& aElement0(W0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ),
inference(fof_nnf,[status(thm)],[m__1933]) ).
fof(sk_m__1933,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& sdtasdt0(xc,sK1) = xy
& aElement0(sK1)
& aElementOf0(xx,slsdtgt0(xc))
& sdtasdt0(xc,sK0) = xx
& aElement0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(W0,sK1)],[nnf_35]) ).
cnf(c_71,plain,
sdtasdt0(xc,sK0) = xx,
inference(split_conjunct,[status(thm)],[sk_m__1933]) ).
cnf(c_72,plain,
xx = sdtasdt0(xc,sK0),
inference(copy,[status(thm)],[c_71]) ).
cnf(c_73,plain,
aElement0(sK0),
inference(split_conjunct,[status(thm)],[sk_m__1933]) ).
cnf(c_256,plain,
sdtasdt0(xc,sK0) = xx,
inference(copy,[status(thm)],[c_72]) ).
cnf(c_257,negated_conjecture,
~ aElement0(sK0),
inference(resolve,[status(thm)],[c_65,c_256]) ).
cnf(c_255,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_73,c_257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG101+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 06:03:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2958976 was started by sandbox on n007,
% 0.10/0.37 % Sat Sep 26 06:03:54 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.39
% 0.14/0.39 % From the command line: assign(max_seconds, 300).
% 0.14/0.41
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41
% 0.14/0.41 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.14/0.41 % Length of proof is 7.
% 0.14/0.41 % Level of proof is 3.
% 0.14/0.41 % Maximum clause weight is 17.000.
% 0.14/0.41 % Given clauses 14.
% 0.14/0.41
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------