TSTP Solution File: SWV197+1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWV197+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 : Tue May 21 05:50:46 EDT 2024
% Result : Theorem 7.02s 2.64s
% Output : Refutation 7.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of formulae : 38 ( 7 unt; 22 typ; 0 def)
% Number of atoms : 188 ( 114 equ; 0 cnn)
% Maximal formula atoms : 51 ( 11 avg)
% Number of connectives : 582 ( 38 ~; 22 |; 135 &; 372 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 20 con; 0-3 aty)
% Number of variables : 26 ( 0 ^ 26 !; 0 ?; 26 :)
% 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(n998_type,type,
n998: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(z_defuse_type,type,
z_defuse: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $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 @ n0 )
& ( leq @ pv5 @ n998 )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( pred @ pv5 ) ) )
=> ( ( a_select3 @ u_defuse @ A @ B )
= use ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( pred @ pv5 ) ) )
=> ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) )
=> ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( pred @ pv5 ) ) )
=> ( ( ~ ( ( n0 = A )
& ( pv5 = B ) )
& ~ ( ( n1 = A )
& ( pv5 = B ) )
& ~ ( ( n2 = A )
& ( pv5 = B ) ) )
=> ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0008) ).
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 @ n0 )
& ( leq @ pv5 @ n998 )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( pred @ pv5 ) ) )
=> ( ( a_select3 @ u_defuse @ A @ B )
= use ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( pred @ pv5 ) ) )
=> ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) )
=> ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( pred @ pv5 ) ) )
=> ( ( ~ ( ( n0 = A )
& ( pv5 = B ) )
& ~ ( ( n1 = A )
& ( pv5 = B ) )
& ~ ( ( n2 = A )
& ( pv5 = B ) ) )
=> ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(93,plain,
~ ( ( ( ( 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 @ n0 )
& ( leq @ pv5 @ n998 )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( pred @ pv5 ) ) )
=> ( ( a_select3 @ u_defuse @ A @ B )
= use ) )
& ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( pred @ pv5 ) ) )
=> ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) )
=> ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n2 )
& ( leq @ B @ ( pred @ pv5 ) ) )
=> ( ( ~ ( ( n0 = A )
& ( pv5 = B ) )
& ~ ( ( n1 = A )
& ( pv5 = B ) )
& ~ ( ( n2 = A )
& ( pv5 = B ) ) )
=> ( ( a_select3 @ z_defuse @ A @ B )
= use ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(118,plain,
! [B: $i,A: $i] :
( ~ ( leq @ n0 @ A )
| ~ ( leq @ n0 @ B )
| ~ ( leq @ A @ n2 )
| ~ ( leq @ B @ ( pred @ pv5 ) )
| ( ( a_select3 @ z_defuse @ A @ B )
= use ) ),
inference(cnf,[status(esa)],[93]) ).
thf(136,plain,
! [B: $i,A: $i] :
( ( ( a_select3 @ z_defuse @ A @ B )
= use )
| ~ ( leq @ n0 @ A )
| ~ ( leq @ n0 @ B )
| ~ ( leq @ A @ n2 )
| ~ ( leq @ B @ ( pred @ pv5 ) ) ),
inference(lifteq,[status(thm)],[118]) ).
thf(137,plain,
! [B: $i,A: $i] :
( ( ( a_select3 @ z_defuse @ A @ B )
= use )
| ~ ( leq @ n0 @ A )
| ~ ( leq @ n0 @ B )
| ~ ( leq @ A @ n2 )
| ~ ( leq @ B @ ( pred @ pv5 ) ) ),
inference(simp,[status(thm)],[136]) ).
thf(96,plain,
( ( a_select3 @ z_defuse @ sk1 @ sk2 )
!= use ),
inference(cnf,[status(esa)],[93]) ).
thf(156,plain,
( ( a_select3 @ z_defuse @ sk1 @ sk2 )
!= use ),
inference(lifteq,[status(thm)],[96]) ).
thf(632,plain,
! [B: $i,A: $i] :
( ~ ( leq @ n0 @ A )
| ~ ( leq @ n0 @ B )
| ~ ( leq @ A @ n2 )
| ~ ( leq @ B @ ( pred @ pv5 ) )
| ( ( a_select3 @ z_defuse @ A @ B )
!= ( a_select3 @ z_defuse @ sk1 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[137,156]) ).
thf(633,plain,
( ~ ( leq @ n0 @ sk1 )
| ~ ( leq @ n0 @ sk2 )
| ~ ( leq @ sk1 @ n2 )
| ~ ( leq @ sk2 @ ( pred @ pv5 ) ) ),
inference(pattern_uni,[status(thm)],[632:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(97,plain,
leq @ n0 @ sk2,
inference(cnf,[status(esa)],[93]) ).
thf(133,plain,
leq @ n0 @ sk1,
inference(cnf,[status(esa)],[93]) ).
thf(103,plain,
leq @ sk2 @ ( pred @ pv5 ),
inference(cnf,[status(esa)],[93]) ).
thf(111,plain,
leq @ sk1 @ n2,
inference(cnf,[status(esa)],[93]) ).
thf(860,plain,
( ~ $true
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[633,97,133,103,111]) ).
thf(861,plain,
$false,
inference(simp,[status(thm)],[860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV197+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 09:05:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.96/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.37/1.04 % [INFO] Parsing done (169ms).
% 1.37/1.05 % [INFO] Running in sequential loop mode.
% 1.88/1.25 % [INFO] nitpick registered as external prover.
% 1.88/1.25 % [INFO] Scanning for conjecture ...
% 2.26/1.36 % [INFO] Found a conjecture (or negated_conjecture) and 91 axioms. Running axiom selection ...
% 2.40/1.43 % [INFO] Axiom selection finished. Selected 90 axioms (removed 1 axioms).
% 2.64/1.50 % [INFO] Problem is first-order (TPTP FOF).
% 2.64/1.51 % [INFO] Type checking passed.
% 2.83/1.51 % [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 ...
% 7.02/2.64 % [INFO] Killing All external provers ...
% 7.02/2.64 % Time passed: 2107ms (effective reasoning time: 1586ms)
% 7.02/2.64 % 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)>
% 7.02/2.64 % Axioms used in derivation (0):
% 7.02/2.64 % No. of inferences in proof: 16
% 7.02/2.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2107 ms resp. 1586 ms w/o parsing
% 7.49/2.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.49/2.66 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------