TSTP Solution File: SWV128+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV128+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:10:04 EDT 2022
% Result : Theorem 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 22
% Syntax : Number of formulae : 25 ( 3 unt; 19 typ; 0 def)
% Number of atoms : 99 ( 28 equ)
% Maximal formula atoms : 48 ( 16 avg)
% Number of connectives : 110 ( 17 ~; 12 |; 68 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 4 >; 5 *; 0 +; 0 <<)
% 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 : 32 ( 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
tff(true_type,type,
true: $o ).
tff(use_type,type,
use: $i ).
tff(a_select3_type,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(z_defuse_type,type,
z_defuse: $i ).
tff(leq_type,type,
leq: ( $i * $i ) > $o ).
tff(minus_type,type,
minus: ( $i * $i ) > $i ).
tff(n1_type,type,
n1: $i ).
tff(n_steps_type,type,
n_steps: $i ).
tff(m_measvars_type,type,
m_measvars: $i ).
tff(n0_type,type,
n0: $i ).
tff(a_select2_type,type,
a_select2: ( $i * $i ) > $i ).
tff(xinit_mean_defuse_type,type,
xinit_mean_defuse: $i ).
tff(n_statevars_type,type,
n_statevars: $i ).
tff(xinit_defuse_type,type,
xinit_defuse: $i ).
tff(tr_defuse_type,type,
tr_defuse: $i ).
tff(n7_type,type,
n7: $i ).
tff(rho_defuse_type,type,
rho_defuse: $i ).
tff(tvar_defuse_type,type,
tvar_defuse: $i ).
tff(t_defuse_type,type,
t_defuse: $i ).
tff(1,plain,
( ~ ( ( ( t_defuse = use )
& ( tvar_defuse = use )
& ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(m_measvars,n1))
& leq(B,minus(n_steps,n1)) )
=> ( a_select3(rho_defuse,A,B) = use ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n7)
& leq(D,minus(n_steps,n1)) )
=> ( a_select3(tr_defuse,C,D) = use ) )
& ! [E: $i] :
( ( leq(n0,E)
& leq(E,minus(n_statevars,n1)) )
=> ( a_select2(xinit_defuse,E) = use ) )
& ! [F: $i] :
( ( leq(n0,F)
& leq(F,minus(n_statevars,n1)) )
=> ( a_select2(xinit_mean_defuse,F) = use ) )
& ! [G: $i,H: $i] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(m_measvars,n1))
& leq(H,minus(n_steps,n1)) )
=> ( a_select3(z_defuse,G,H) = use ) ) )
=> true )
<=> ~ ( true
| ~ ( ( t_defuse = use )
& ( tvar_defuse = use )
& ! [A: $i,B: $i] :
( ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(m_measvars,n1))
& leq(B,minus(n_steps,n1)) )
| ( a_select3(rho_defuse,A,B) = use ) )
& ! [C: $i,D: $i] :
( ~ ( leq(n0,C)
& leq(n0,D)
& leq(C,n7)
& leq(D,minus(n_steps,n1)) )
| ( a_select3(tr_defuse,C,D) = use ) )
& ! [E: $i] :
( ~ ( leq(n0,E)
& leq(E,minus(n_statevars,n1)) )
| ( a_select2(xinit_defuse,E) = use ) )
& ! [F: $i] :
( ~ ( leq(n0,F)
& leq(F,minus(n_statevars,n1)) )
| ( a_select2(xinit_mean_defuse,F) = use ) )
& ! [G: $i,H: $i] :
( ~ ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(m_measvars,n1))
& leq(H,minus(n_steps,n1)) )
| ( a_select3(z_defuse,G,H) = use ) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
~ ( ( ( t_defuse = use )
& ( tvar_defuse = use )
& ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(m_measvars,n1))
& leq(B,minus(n_steps,n1)) )
=> ( a_select3(rho_defuse,A,B) = use ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n7)
& leq(D,minus(n_steps,n1)) )
=> ( a_select3(tr_defuse,C,D) = use ) )
& ! [E: $i] :
( ( leq(n0,E)
& leq(E,minus(n_statevars,n1)) )
=> ( a_select2(xinit_defuse,E) = use ) )
& ! [F: $i] :
( ( leq(n0,F)
& leq(F,minus(n_statevars,n1)) )
=> ( a_select2(xinit_mean_defuse,F) = use ) )
& ! [G: $i,H: $i] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(m_measvars,n1))
& leq(H,minus(n_steps,n1)) )
=> ( a_select3(z_defuse,G,H) = use ) ) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thruster_inuse_0001) ).
tff(3,plain,
~ ( true
| ~ ( ( t_defuse = use )
& ( tvar_defuse = use )
& ! [A: $i,B: $i] :
( ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(m_measvars,n1))
& leq(B,minus(n_steps,n1)) )
| ( a_select3(rho_defuse,A,B) = use ) )
& ! [C: $i,D: $i] :
( ~ ( leq(n0,C)
& leq(n0,D)
& leq(C,n7)
& leq(D,minus(n_steps,n1)) )
| ( a_select3(tr_defuse,C,D) = use ) )
& ! [E: $i] :
( ~ ( leq(n0,E)
& leq(E,minus(n_statevars,n1)) )
| ( a_select2(xinit_defuse,E) = use ) )
& ! [F: $i] :
( ~ ( leq(n0,F)
& leq(F,minus(n_statevars,n1)) )
| ( a_select2(xinit_mean_defuse,F) = use ) )
& ! [G: $i,H: $i] :
( ~ ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(m_measvars,n1))
& leq(H,minus(n_steps,n1)) )
| ( a_select3(z_defuse,G,H) = use ) ) ) ),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
~ true,
inference(or_elim,[status(thm)],[3]) ).
tff(5,axiom,
true,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).
tff(6,plain,
$false,
inference(unit_resolution,[status(thm)],[5,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV128+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Sep 4 01:45:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------