TSTP Solution File: SWV099+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV099+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 : Fri May 19 12:13:52 EDT 2023
% Result : Theorem 4.99s 2.23s
% Output : Refutation 5.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 21
% Syntax : Number of formulae : 24 ( 2 unt; 20 typ; 0 def)
% Number of atoms : 142 ( 116 equ; 0 cnn)
% Maximal formula atoms : 70 ( 35 avg)
% Number of connectives : 456 ( 2 ~; 0 |; 132 &; 316 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 21 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 18 con; 0-3 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(rho_defuse_type,type,
rho_defuse: $i ).
thf(n0_type,type,
n0: $i ).
thf(use_type,type,
use: $i ).
thf(n1_type,type,
n1: $i ).
thf(n2_type,type,
n2: $i ).
thf(sigma_defuse_type,type,
sigma_defuse: $i ).
thf(n3_type,type,
n3: $i ).
thf(n4_type,type,
n4: $i ).
thf(n5_type,type,
n5: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(u_defuse_type,type,
u_defuse: $i ).
thf(xinit_defuse_type,type,
xinit_defuse: $i ).
thf(xinit_mean_defuse_type,type,
xinit_mean_defuse: $i ).
thf(xinit_noise_defuse_type,type,
xinit_noise_defuse: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(pv5_type,type,
pv5: $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(n999_type,type,
n999: $i ).
thf(z_defuse_type,type,
z_defuse: $i ).
thf(1,conjecture,
( ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n5 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n5 )
= use )
& ( leq @ n0 @ pv5 )
& ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( minus @ pv5 @ n1 ) ) )
=> ( ( ( a_select3 @ u_defuse @ A @ B )
= use )
& ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) ) )
=> ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n5 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n5 )
= use )
& ( leq @ n0 @ pv5 )
& ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( minus @ pv5 @ n1 ) ) )
=> ( ( ( a_select3 @ u_defuse @ A @ B )
= use )
& ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0011) ).
thf(2,negated_conjecture,
~ ( ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n5 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n5 )
= use )
& ( leq @ n0 @ pv5 )
& ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( minus @ pv5 @ n1 ) ) )
=> ( ( ( a_select3 @ u_defuse @ A @ B )
= use )
& ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) ) )
=> ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n5 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_noise_defuse @ n5 )
= use )
& ( leq @ n0 @ pv5 )
& ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( minus @ pv5 @ n1 ) ) )
=> ( ( ( a_select3 @ u_defuse @ A @ B )
= use )
& ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(93,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(94,plain,
$false,
inference(simp,[status(thm)],[93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV099+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 19 02:48:59 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.43/1.02 % [INFO] Parsing done (158ms).
% 1.43/1.02 % [INFO] Running in sequential loop mode.
% 1.83/1.24 % [INFO] eprover registered as external prover.
% 1.83/1.24 % [INFO] cvc4 registered as external prover.
% 1.83/1.25 % [INFO] Scanning for conjecture ...
% 2.29/1.37 % [INFO] Found a conjecture and 91 axioms. Running axiom selection ...
% 2.49/1.45 % [INFO] Axiom selection finished. Selected 90 axioms (removed 1 axioms).
% 2.66/1.52 % [INFO] Problem is first-order (TPTP FOF).
% 2.66/1.53 % [INFO] Type checking passed.
% 2.66/1.53 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 4.99/2.23 % [INFO] Killing All external provers ...
% 4.99/2.23 % Time passed: 1695ms (effective reasoning time: 1199ms)
% 4.99/2.23 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 4.99/2.23 % Axioms used in derivation (0):
% 4.99/2.23 % No. of inferences in proof: 4
% 4.99/2.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1695 ms resp. 1199 ms w/o parsing
% 5.48/2.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.48/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------