%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV128+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 09:06:51 AM UTC 2026
% Result : Theorem 0.14s 5.49s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 52 ( 14 equ)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 48 ( 2 ~; 0 |; 34 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thruster_inuse_0001,conjecture,
( ( ! [G,H] :
( ( leq(H,minus(n_steps,n1))
& leq(G,minus(m_measvars,n1))
& leq(n0,H)
& leq(n0,G) )
=> a_select3(z_defuse,G,H) = use )
& ! [F] :
( ( leq(F,minus(n_statevars,n1))
& leq(n0,F) )
=> a_select2(xinit_mean_defuse,F) = use )
& ! [E] :
( ( leq(E,minus(n_statevars,n1))
& leq(n0,E) )
=> a_select2(xinit_defuse,E) = use )
& ! [C,D] :
( ( leq(D,minus(n_steps,n1))
& leq(C,n7)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(tr_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,minus(n_steps,n1))
& leq(A,minus(m_measvars,n1))
& leq(n0,B)
& leq(n0,A) )
=> a_select3(rho_defuse,A,B) = use )
& tvar_defuse = use
& t_defuse = use )
=> true ),
file('theBenchmark.p',thruster_inuse_0001) ).
fof(thruster_inuse_0001_neg,negated_conjecture,
~ ( ( ! [G,H] :
( ( leq(H,minus(n_steps,n1))
& leq(G,minus(m_measvars,n1))
& leq(n0,H)
& leq(n0,G) )
=> a_select3(z_defuse,G,H) = use )
& ! [F] :
( ( leq(F,minus(n_statevars,n1))
& leq(n0,F) )
=> a_select2(xinit_mean_defuse,F) = use )
& ! [E] :
( ( leq(E,minus(n_statevars,n1))
& leq(n0,E) )
=> a_select2(xinit_defuse,E) = use )
& ! [C,D] :
( ( leq(D,minus(n_steps,n1))
& leq(C,n7)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(tr_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,minus(n_steps,n1))
& leq(A,minus(m_measvars,n1))
& leq(n0,B)
& leq(n0,A) )
=> a_select3(rho_defuse,A,B) = use )
& tvar_defuse = use
& t_defuse = use )
=> true ),
inference(assume_negation,[status(cth)],[thruster_inuse_0001]) ).
fof(ttrue,axiom,
true,
file('theBenchmark.p',ttrue) ).
cnf(c_321,plain,
true,
inference(clausify,[status(thm)],[ttrue]) ).
cnf(c_369,negated_conjecture,
~ true,
inference(clausify,[status(thm)],[thruster_inuse_0001_neg]) ).
cnf(c_370,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_321,c_369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV128+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n015.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 13:17:49 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.38 % Process 4158369 was started by sandbox on n015,
% 0.10/5.38 % Sat Sep 26 13:17:49 2026
% 0.10/5.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/5.43
% 0.14/5.43 % From the command line: assign(max_seconds, 300).
% 0.14/5.49
% 0.14/5.49 % SZS status Theorem for theBenchmark
% 0.14/5.49
% 0.14/5.49 % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.14/5.49 % Length of proof is 4.
% 0.14/5.49 % Level of proof is 2.
% 0.14/5.49 % Maximum clause weight is 1.000.
% 0.14/5.49 % Given clauses 0.
% 0.14/5.49
% 0.14/5.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------