%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV106+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 : n019.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 09:06:49 AM UTC 2026
% Result : Theorem 0.24s 5.59s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 56 ( 14 equ)
% Maximal formula atoms : 26 ( 9 avg)
% Number of connectives : 52 ( 2 ~; 0 |; 34 &)
% ( 0 <=>; 16 =>; 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 : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0018,conjecture,
( ( ! [H,I] :
( ( leq(I,minus(n_steps,n1))
& leq(H,minus(m_measvars,n1))
& leq(n0,I)
& leq(n0,H) )
=> a_select3(z_defuse,H,I) = use )
& ! [G] :
( ( leq(G,minus(n_statevars,n1))
& leq(n0,G) )
=> a_select2(xinit_noise_defuse,G) = 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,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(u_defuse,C,D) = use )
& ! [B] :
( ( leq(B,minus(n_statevars,n1))
& leq(n0,B) )
=> a_select2(sigma_defuse,B) = use )
& ! [A] :
( ( leq(A,minus(m_measvars,n1))
& leq(n0,A) )
=> a_select2(rho_defuse,A) = use ) )
=> true ),
file('theBenchmark.p',quaternion_ds1_inuse_0018) ).
fof(quaternion_ds1_inuse_0018_neg,negated_conjecture,
~ ( ( ! [H,I] :
( ( leq(I,minus(n_steps,n1))
& leq(H,minus(m_measvars,n1))
& leq(n0,I)
& leq(n0,H) )
=> a_select3(z_defuse,H,I) = use )
& ! [G] :
( ( leq(G,minus(n_statevars,n1))
& leq(n0,G) )
=> a_select2(xinit_noise_defuse,G) = 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,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(u_defuse,C,D) = use )
& ! [B] :
( ( leq(B,minus(n_statevars,n1))
& leq(n0,B) )
=> a_select2(sigma_defuse,B) = use )
& ! [A] :
( ( leq(A,minus(m_measvars,n1))
& leq(n0,A) )
=> a_select2(rho_defuse,A) = use ) )
=> true ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0018]) ).
fof(ttrue,axiom,
true,
file('theBenchmark.p',ttrue) ).
cnf(c_327,plain,
true,
inference(clausify,[status(thm)],[ttrue]) ).
cnf(c_373,negated_conjecture,
~ true,
inference(clausify,[status(thm)],[quaternion_ds1_inuse_0018_neg]) ).
cnf(c_374,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_327,c_373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV106+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.46 % Computer : n019.cluster.edu
% 0.17/5.46 % Model : x86_64 x86_64
% 0.17/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.46 % Memory : 8046.5625MB
% 0.17/5.46 % OS : Linux 6.8.0-71-generic
% 0.17/5.46 % CPULimit : 300
% 0.17/5.46 % WCLimit : 300
% 0.17/5.46 % DateTime : Sat Sep 26 13:13:09 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.17/5.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/5.46 % Process 1400542 was started by sandbox on n019,
% 0.17/5.46 % Sat Sep 26 13:13:09 2026
% 0.17/5.46 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.24/5.52
% 0.24/5.52 % From the command line: assign(max_seconds, 300).
% 0.24/5.59
% 0.24/5.59 % SZS status Theorem for theBenchmark
% 0.24/5.59
% 0.24/5.59 % Proof 1 at 0.05 (+ 0.01) seconds.
% 0.24/5.59 % Length of proof is 4.
% 0.24/5.59 % Level of proof is 2.
% 0.24/5.59 % Maximum clause weight is 1.000.
% 0.24/5.59 % Given clauses 0.
% 0.24/5.59
% 0.24/5.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------