%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LAT388+4 : 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 : n004.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 07:50:31 AM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 51 ( 6 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 43 ( 3 ~; 6 |; 23 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1144,axiom,
( xS = cS1142(xf)
& ! [W0] :
( ( ( aFixedPointOf0(W0,xf)
| ( sdtlpdtrp0(xf,W0) = W0
& aElementOf0(W0,szDzozmdt0(xf)) ) )
=> aElementOf0(W0,xS) )
& ( aElementOf0(W0,xS)
=> ( aFixedPointOf0(W0,xf)
& sdtlpdtrp0(xf,W0) = W0
& aElementOf0(W0,szDzozmdt0(xf)) ) ) )
& aSet0(xS) ),
file('theBenchmark.p',m__1144) ).
fof(m__1330,axiom,
( aSupremumOfIn0(xp,xT,xS)
& ! [W0] :
( ( aUpperBoundOfIn0(W0,xT,xS)
| ( ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xS) ) )
=> sdtlseqdt0(xp,W0) )
& aUpperBoundOfIn0(xp,xT,xS)
& ! [W0] :
( aElementOf0(W0,xT)
=> sdtlseqdt0(W0,xp) )
& aFixedPointOf0(xp,xf)
& sdtlpdtrp0(xf,xp) = xp
& aElementOf0(xp,szDzozmdt0(xf)) ),
file('theBenchmark.p',m__1330) ).
fof(m__,conjecture,
? [W0] :
( aSupremumOfIn0(W0,xT,xS)
| ( ! [W1] :
( ( aUpperBoundOfIn0(W1,xT,xS)
& ! [W2] :
( aElementOf0(W2,xT)
=> sdtlseqdt0(W2,W1) )
& aElementOf0(W1,xS) )
=> sdtlseqdt0(W0,W1) )
& ( aUpperBoundOfIn0(W0,xT,xS)
| ( ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xS) ) )
& aElementOf0(W0,xS) ) ),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
~ ? [W0] :
( aSupremumOfIn0(W0,xT,xS)
| ( ! [W1] :
( ( aUpperBoundOfIn0(W1,xT,xS)
& ! [W2] :
( aElementOf0(W2,xT)
=> sdtlseqdt0(W2,W1) )
& aElementOf0(W1,xS) )
=> sdtlseqdt0(W0,W1) )
& ( aUpperBoundOfIn0(W0,xT,xS)
| ( ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xS) ) )
& aElementOf0(W0,xS) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_145,plain,
cS1142(xf) = xS,
inference(clausify,[status(thm)],[m__1144]) ).
cnf(c_146,plain,
xS = cS1142(xf),
inference(copy,[status(thm)],[c_145]) ).
cnf(c_184,plain,
aSupremumOfIn0(xp,xT,xS),
inference(clausify,[status(thm)],[m__1330]) ).
cnf(c_185,plain,
aSupremumOfIn0(xp,xT,cS1142(xf)),
inference(paramod,[status(thm)],[c_146,c_184]) ).
cnf(c_210,negated_conjecture,
~ aSupremumOfIn0(A,xT,xS),
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_211,negated_conjecture,
~ aSupremumOfIn0(A,xT,cS1142(xf)),
inference(paramod,[status(thm)],[c_146,c_210]) ).
cnf(c_212,plain,
$false,
inference(resolve,[status(thm)],[c_211,c_185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT388+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 21:39:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 20746 was started by sandbox on n004,
% 0.10/0.37 % Fri Sep 25 21:39:22 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.10/0.40
% 0.10/0.40 % SZS status Theorem for theBenchmark
% 0.10/0.40
% 0.10/0.40 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.10/0.40 % Length of proof is 10.
% 0.10/0.40 % Level of proof is 4.
% 0.10/0.40 % Maximum clause weight is 15.000.
% 0.10/0.40 % Given clauses 0.
% 0.10/0.40
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------